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3d-cube.html (9720B)
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     27 
     28 <title>SunSpider 3d-cube</title>
     29 
     30 </head>
     31 
     32 <body>
     33 <h3>3d-cube</h3>
     34 <div id="console">
     35 </div>
     36 
     37 <script>
     38 
     39 var _sunSpiderStartDate = new Date();
     40 
     41 // 3D Cube Rotation
     42 // http://www.speich.net/computer/moztesting/3d.htm
     43 // Created by Simon Speich
     44 
     45 var Q = new Array();
     46 var MTrans = new Array();  // transformation matrix
     47 var MQube = new Array();  // position information of qube
     48 var I = new Array();      // entity matrix
     49 var Origin = new Object();
     50 var Testing = new Object();
     51 var LoopTimer;
     52 
     53 var DisplArea = new Object();
     54 DisplArea.Width = 300;
     55 DisplArea.Height = 300;
     56 
     57 function DrawLine(From, To) {
     58  var x1 = From.V[0];
     59  var x2 = To.V[0];
     60  var y1 = From.V[1];
     61  var y2 = To.V[1];
     62  var dx = Math.abs(x2 - x1);
     63  var dy = Math.abs(y2 - y1);
     64  var x = x1;
     65  var y = y1;
     66  var IncX1, IncY1;
     67  var IncX2, IncY2;  
     68  var Den;
     69  var Num;
     70  var NumAdd;
     71  var NumPix;
     72 
     73  if (x2 >= x1) {  IncX1 = 1; IncX2 = 1;  }
     74  else { IncX1 = -1; IncX2 = -1; }
     75  if (y2 >= y1)  {  IncY1 = 1; IncY2 = 1; }
     76  else { IncY1 = -1; IncY2 = -1; }
     77  if (dx >= dy) {
     78    IncX1 = 0;
     79    IncY2 = 0;
     80    Den = dx;
     81    Num = dx / 2;
     82    NumAdd = dy;
     83    NumPix = dx;
     84  }
     85  else {
     86    IncX2 = 0;
     87    IncY1 = 0;
     88    Den = dy;
     89    Num = dy / 2;
     90    NumAdd = dx;
     91    NumPix = dy;
     92  }
     93 
     94  NumPix = Math.round(Q.LastPx + NumPix);
     95 
     96  var i = Q.LastPx;
     97  for (; i < NumPix; i++) {
     98    Num += NumAdd;
     99    if (Num >= Den) {
    100      Num -= Den;
    101      x += IncX1;
    102      y += IncY1;
    103    }
    104    x += IncX2;
    105    y += IncY2;
    106  }
    107  Q.LastPx = NumPix;
    108 }
    109 
    110 function CalcCross(V0, V1) {
    111  var Cross = new Array();
    112  Cross[0] = V0[1]*V1[2] - V0[2]*V1[1];
    113  Cross[1] = V0[2]*V1[0] - V0[0]*V1[2];
    114  Cross[2] = V0[0]*V1[1] - V0[1]*V1[0];
    115  return Cross;
    116 }
    117 
    118 function CalcNormal(V0, V1, V2) {
    119  var A = new Array();   var B = new Array(); 
    120  for (var i = 0; i < 3; i++) {
    121    A[i] = V0[i] - V1[i];
    122    B[i] = V2[i] - V1[i];
    123  }
    124  A = CalcCross(A, B);
    125  var Length = Math.sqrt(A[0]*A[0] + A[1]*A[1] + A[2]*A[2]); 
    126  for (var i = 0; i < 3; i++) A[i] = A[i] / Length;
    127  A[3] = 1;
    128  return A;
    129 }
    130 
    131 function CreateP(X,Y,Z) {
    132  this.V = [X,Y,Z,1];
    133 }
    134 
    135 // multiplies two matrices
    136 function MMulti(M1, M2) {
    137  var M = [[],[],[],[]];
    138  var i = 0;
    139  var j = 0;
    140  for (; i < 4; i++) {
    141    j = 0;
    142    for (; j < 4; j++) M[i][j] = M1[i][0] * M2[0][j] + M1[i][1] * M2[1][j] + M1[i][2] * M2[2][j] + M1[i][3] * M2[3][j];
    143  }
    144  return M;
    145 }
    146 
    147 //multiplies matrix with vector
    148 function VMulti(M, V) {
    149  var Vect = new Array();
    150  var i = 0;
    151  for (;i < 4; i++) Vect[i] = M[i][0] * V[0] + M[i][1] * V[1] + M[i][2] * V[2] + M[i][3] * V[3];
    152  return Vect;
    153 }
    154 
    155 function VMulti2(M, V) {
    156  var Vect = new Array();
    157  var i = 0;
    158  for (;i < 3; i++) Vect[i] = M[i][0] * V[0] + M[i][1] * V[1] + M[i][2] * V[2];
    159  return Vect;
    160 }
    161 
    162 // add to matrices
    163 function MAdd(M1, M2) {
    164  var M = [[],[],[],[]];
    165  var i = 0;
    166  var j = 0;
    167  for (; i < 4; i++) {
    168    j = 0;
    169    for (; j < 4; j++) M[i][j] = M1[i][j] + M2[i][j];
    170  }
    171  return M;
    172 }
    173 
    174 function Translate(M, Dx, Dy, Dz) {
    175  var T = [
    176  [1,0,0,Dx],
    177  [0,1,0,Dy],
    178  [0,0,1,Dz],
    179  [0,0,0,1]
    180  ];
    181  return MMulti(T, M);
    182 }
    183 
    184 function RotateX(M, Phi) {
    185  var a = Phi;
    186  a *= Math.PI / 180;
    187  var Cos = Math.cos(a);
    188  var Sin = Math.sin(a);
    189  var R = [
    190  [1,0,0,0],
    191  [0,Cos,-Sin,0],
    192  [0,Sin,Cos,0],
    193  [0,0,0,1]
    194  ];
    195  return MMulti(R, M);
    196 }
    197 
    198 function RotateY(M, Phi) {
    199  var a = Phi;
    200  a *= Math.PI / 180;
    201  var Cos = Math.cos(a);
    202  var Sin = Math.sin(a);
    203  var R = [
    204  [Cos,0,Sin,0],
    205  [0,1,0,0],
    206  [-Sin,0,Cos,0],
    207  [0,0,0,1]
    208  ];
    209  return MMulti(R, M);
    210 }
    211 
    212 function RotateZ(M, Phi) {
    213  var a = Phi;
    214  a *= Math.PI / 180;
    215  var Cos = Math.cos(a);
    216  var Sin = Math.sin(a);
    217  var R = [
    218  [Cos,-Sin,0,0],
    219  [Sin,Cos,0,0],
    220  [0,0,1,0],   
    221  [0,0,0,1]
    222  ];
    223  return MMulti(R, M);
    224 }
    225 
    226 function DrawQube() {
    227  // calc current normals
    228  var CurN = new Array();
    229  var i = 5;
    230  Q.LastPx = 0;
    231  for (; i > -1; i--) CurN[i] = VMulti2(MQube, Q.Normal[i]);
    232  if (CurN[0][2] < 0) {
    233    if (!Q.Line[0]) { DrawLine(Q[0], Q[1]); Q.Line[0] = true; };
    234    if (!Q.Line[1]) { DrawLine(Q[1], Q[2]); Q.Line[1] = true; };
    235    if (!Q.Line[2]) { DrawLine(Q[2], Q[3]); Q.Line[2] = true; };
    236    if (!Q.Line[3]) { DrawLine(Q[3], Q[0]); Q.Line[3] = true; };
    237  }
    238  if (CurN[1][2] < 0) {
    239    if (!Q.Line[2]) { DrawLine(Q[3], Q[2]); Q.Line[2] = true; };
    240    if (!Q.Line[9]) { DrawLine(Q[2], Q[6]); Q.Line[9] = true; };
    241    if (!Q.Line[6]) { DrawLine(Q[6], Q[7]); Q.Line[6] = true; };
    242    if (!Q.Line[10]) { DrawLine(Q[7], Q[3]); Q.Line[10] = true; };
    243  }
    244  if (CurN[2][2] < 0) {
    245    if (!Q.Line[4]) { DrawLine(Q[4], Q[5]); Q.Line[4] = true; };
    246    if (!Q.Line[5]) { DrawLine(Q[5], Q[6]); Q.Line[5] = true; };
    247    if (!Q.Line[6]) { DrawLine(Q[6], Q[7]); Q.Line[6] = true; };
    248    if (!Q.Line[7]) { DrawLine(Q[7], Q[4]); Q.Line[7] = true; };
    249  }
    250  if (CurN[3][2] < 0) {
    251    if (!Q.Line[4]) { DrawLine(Q[4], Q[5]); Q.Line[4] = true; };
    252    if (!Q.Line[8]) { DrawLine(Q[5], Q[1]); Q.Line[8] = true; };
    253    if (!Q.Line[0]) { DrawLine(Q[1], Q[0]); Q.Line[0] = true; };
    254    if (!Q.Line[11]) { DrawLine(Q[0], Q[4]); Q.Line[11] = true; };
    255  }
    256  if (CurN[4][2] < 0) {
    257    if (!Q.Line[11]) { DrawLine(Q[4], Q[0]); Q.Line[11] = true; };
    258    if (!Q.Line[3]) { DrawLine(Q[0], Q[3]); Q.Line[3] = true; };
    259    if (!Q.Line[10]) { DrawLine(Q[3], Q[7]); Q.Line[10] = true; };
    260    if (!Q.Line[7]) { DrawLine(Q[7], Q[4]); Q.Line[7] = true; };
    261  }
    262  if (CurN[5][2] < 0) {
    263    if (!Q.Line[8]) { DrawLine(Q[1], Q[5]); Q.Line[8] = true; };
    264    if (!Q.Line[5]) { DrawLine(Q[5], Q[6]); Q.Line[5] = true; };
    265    if (!Q.Line[9]) { DrawLine(Q[6], Q[2]); Q.Line[9] = true; };
    266    if (!Q.Line[1]) { DrawLine(Q[2], Q[1]); Q.Line[1] = true; };
    267  }
    268  Q.Line = [false,false,false,false,false,false,false,false,false,false,false,false];
    269  Q.LastPx = 0;
    270 }
    271 
    272 function Loop() {
    273  if (Testing.LoopCount > Testing.LoopMax) return;
    274  var TestingStr = String(Testing.LoopCount);
    275  while (TestingStr.length < 3) TestingStr = "0" + TestingStr;
    276  MTrans = Translate(I, -Q[8].V[0], -Q[8].V[1], -Q[8].V[2]);
    277  MTrans = RotateX(MTrans, 1);
    278  MTrans = RotateY(MTrans, 3);
    279  MTrans = RotateZ(MTrans, 5);
    280  MTrans = Translate(MTrans, Q[8].V[0], Q[8].V[1], Q[8].V[2]);
    281  MQube = MMulti(MTrans, MQube);
    282  var i = 8;
    283  for (; i > -1; i--) {
    284    Q[i].V = VMulti(MTrans, Q[i].V);
    285  }
    286  DrawQube();
    287  Testing.LoopCount++;
    288  Loop();
    289 }
    290 
    291 function Init(CubeSize) {
    292  // init/reset vars
    293  Origin.V = [150,150,20,1];
    294  Testing.LoopCount = 0;
    295  Testing.LoopMax = 50;
    296  Testing.TimeMax = 0;
    297  Testing.TimeAvg = 0;
    298  Testing.TimeMin = 0;
    299  Testing.TimeTemp = 0;
    300  Testing.TimeTotal = 0;
    301  Testing.Init = false;
    302 
    303  // transformation matrix
    304  MTrans = [
    305  [1,0,0,0],
    306  [0,1,0,0],
    307  [0,0,1,0],
    308  [0,0,0,1]
    309  ];
    310  
    311  // position information of qube
    312  MQube = [
    313  [1,0,0,0],
    314  [0,1,0,0],
    315  [0,0,1,0],
    316  [0,0,0,1]
    317  ];
    318  
    319  // entity matrix
    320  I = [
    321  [1,0,0,0],
    322  [0,1,0,0],
    323  [0,0,1,0],
    324  [0,0,0,1]
    325  ];
    326  
    327  // create qube
    328  Q[0] = new CreateP(-CubeSize,-CubeSize, CubeSize);
    329  Q[1] = new CreateP(-CubeSize, CubeSize, CubeSize);
    330  Q[2] = new CreateP( CubeSize, CubeSize, CubeSize);
    331  Q[3] = new CreateP( CubeSize,-CubeSize, CubeSize);
    332  Q[4] = new CreateP(-CubeSize,-CubeSize,-CubeSize);
    333  Q[5] = new CreateP(-CubeSize, CubeSize,-CubeSize);
    334  Q[6] = new CreateP( CubeSize, CubeSize,-CubeSize);
    335  Q[7] = new CreateP( CubeSize,-CubeSize,-CubeSize);
    336  
    337  // center of gravity
    338  Q[8] = new CreateP(0, 0, 0);
    339  
    340  // anti-clockwise edge check
    341  Q.Edge = [[0,1,2],[3,2,6],[7,6,5],[4,5,1],[4,0,3],[1,5,6]];
    342  
    343  // calculate squad normals
    344  Q.Normal = new Array();
    345  for (var i = 0; i < Q.Edge.length; i++) Q.Normal[i] = CalcNormal(Q[Q.Edge[i][0]].V, Q[Q.Edge[i][1]].V, Q[Q.Edge[i][2]].V);
    346  
    347  // line drawn ?
    348  Q.Line = [false,false,false,false,false,false,false,false,false,false,false,false];
    349  
    350  // create line pixels
    351  Q.NumPx = 9 * 2 * CubeSize;
    352  for (var i = 0; i < Q.NumPx; i++) CreateP(0,0,0);
    353  
    354  MTrans = Translate(MTrans, Origin.V[0], Origin.V[1], Origin.V[2]);
    355  MQube = MMulti(MTrans, MQube);
    356 
    357  var i = 0;
    358  for (; i < 9; i++) {
    359    Q[i].V = VMulti(MTrans, Q[i].V);
    360  }
    361  DrawQube();
    362  Testing.Init = true;
    363  Loop();
    364 }
    365 
    366 for ( var i = 20; i <= 160; i *= 2 ) {
    367  Init(i);
    368 }
    369 
    370 Q = null;
    371 MTrans = null;
    372 MQube = null;
    373 I = null;
    374 Origin = null;
    375 Testing = null;
    376 LoopTime = null;
    377 DisplArea = null;
    378 
    379 
    380 var _sunSpiderInterval = new Date() - _sunSpiderStartDate;
    381 
    382 document.getElementById("console").innerHTML = _sunSpiderInterval;
    383 </script>
    384 
    385 
    386 </body>
    387 </html>
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