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1 <html> |
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2 <head> |
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3 <title>3d thingy</title> |
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4 <style type="text/css"> |
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5 div.z2 { position:absolute; z-index:2; } |
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6 div.z1 { position:absolute; z-index:1; } |
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7 </style> |
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8 <script type="text/javascript"> |
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9 /************************************************************************** |
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10 JavaScript Graphics Library 0.0.1, Updated Source Code at Scriptersoft.com |
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11 Copyright (C) 2005 Kurt L. Whicher |
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12 November,13,2005 |
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13 |
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14 This library is free software; you can redistribute it and/or |
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15 modify it under the terms of the GNU Lesser General Public |
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16 License as published by the Free Software Foundation; either |
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17 version 2.1 of the License, or (at your option) any later version. |
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18 |
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19 This library is distributed in the hope that it will be useful, |
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20 but WITHOUT ANY WARRANTY; without even the implied warranty of |
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21 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
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22 Lesser General Public License for more details. |
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23 |
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24 You should have received a copy of the GNU Lesser General Public |
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25 License along with this library; if not, write to the Free Software |
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26 Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA |
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27 **************************************************************************/ |
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28 |
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29 //________________________________________ global variables |
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30 |
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31 var S_piDoubled=Math.PI*2; |
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32 var S_deg2Rad=Math.PI/180; |
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33 |
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34 //_______________________________________________ functions |
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35 |
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36 function S_matrix() { |
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37 return [1,0,0,0, |
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38 0,1,0,0, |
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39 0,0,1,0, |
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40 0,0,0,1]; |
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41 } |
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42 function S_vec2D(x,y) { this.x=x; this.y=y; } |
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43 function S_vec3D(x,y,z) { this.x=x; this.y=y; this.z=z; } |
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44 function S_subVec2D(a,b) { |
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45 return new S_vec2D(a.x-b.x, a.y-b.y); |
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46 } |
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47 function S_subVec3D(a,b) { |
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48 return new S_vec3D(a.x-b.x, a.y-b.y, a.z-b.z); |
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49 } |
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50 function S_dotVec3D(a, b) { return a.x*b.x+a.y*b.y+a.z*b.z; } |
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51 function S_cross(a,b) { |
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52 return new S_vec3D( a.y*b.z-a.z*b.y, a.z*b.x-a.x*b.z, a.x*b.y-a.y*b.x); |
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53 } |
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54 function S_lengthSquaredVec3D(v) { return S_dotVec3D(v,v); } |
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55 function S_lengthVec3D(v) { return Math.sqrt(S_lengthSquaredVec3D(v)); } |
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56 function S_normalizeVec3D(v) { |
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57 var l=S_lengthVec3D(v), nv=new S_vec3D(0,0,0); |
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58 if(l!=0) { nv.x=v.x/l; nv.y=v.y/l; nv.z=v.z/l; } |
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59 return nv; |
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60 } |
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61 function S_rotate(m,ax,a) { // transformation matrix, axis, angle |
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62 var i,j,ij=new Array(),v=new Array(),c=Math.cos(a),s=Math.sin(a); |
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63 if (ax=="x") ij=[1,2,5,6,9,10,13,14]; |
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64 else if (ax=="y") ij=[2,0,6,4,10,8,14,12]; |
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65 else if (ax=="z") ij=[0,1,4,5,8,9,12,13]; |
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66 for (i=0;i<8;i++) v[i]=m[ij[i]]; |
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67 for (i=0,j=1;i<8;i+=2,j+=2) { |
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68 m[ij[i]]=v[i]*c-v[j]*s; |
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69 m[ij[j]]=v[i]*s+v[j]*c |
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70 } |
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71 } |
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72 function S_checkBrowser() { |
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73 if (document.getElementById) return true; else return false; |
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74 } |
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75 function S_zIndex(e,z) { document.getElementById(e).style.zIndex=z; } |
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76 function S_rgbColor(r,g,b) { |
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77 var i, c=[r,g,b]; |
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78 for(i=0; i<3; i++) { |
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79 c[i]=Math.floor(c[i]); |
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80 if(c[i]<0) c[i]=0; else if(c[i]>255) c[i]=255; |
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81 } |
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82 return c; |
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83 } |
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84 function S_rgbColorString(c) { |
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85 return "rgb("+c[0]+","+c[1]+","+c[2]+")"; |
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86 } |
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87 function S_vertice(x,y,z) { |
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88 this.x=x; this.y=y; this.z=z; this.w=1; |
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89 this.t=new S_vec3D(x,y,z); // transformed 3d |
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90 this.p=new S_vec2D(0,0); // projected 2d |
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91 } |
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92 function S_face(v0,v1,v2,c) { // 3 vertice faces |
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93 this.v=[v0,v1,v2]; this.c=c; this.b=0; // b:brightness |
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94 this.d=true; // display: true or false |
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95 } |
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96 // x coordinate, number of vertices, distance |
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97 function S_verticeRing(x,nv,d) { |
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98 var i,a,v=new Array(); |
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99 for(i=0;i<nv;i++) { |
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100 a=S_piDoubled*i/nv; |
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101 v[i]=new S_vertice(x,d*Math.sin(a),d*Math.cos(a)); |
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102 } |
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103 return v; |
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104 } |
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105 function S_triangleRing(r1,r2,c,clr) { // rows 1 & 2, cols, color |
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106 var i,j,tr=new Array(); |
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107 for(i=0,j=1;i<c;i++,j=++j%c) { |
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108 tr.push(new S_face(r1+i,r2+i,r2+j,clr)); |
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109 tr.push(new S_face(r1+i,r2+j,r1+j,clr)); |
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110 } |
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111 return tr; |
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112 } |
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113 function S_model(v,f) { |
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114 // vertice & face arrays, transformation matrix, display boolean |
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115 this.v=v; this.f=f, this.tm=S_matrix(), this.d=true; |
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116 } |
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117 S_model.prototype.S_rotateX=function(a) { |
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118 S_rotate(this.tm,"x",a*=S_deg2Rad); |
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119 } |
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120 S_model.prototype.S_rotateY=function(a) { |
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121 S_rotate(this.tm,"y",a*=S_deg2Rad); |
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122 } |
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123 S_model.prototype.S_rotateZ=function(a) { |
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124 S_rotate(this.tm,"z",a*=S_deg2Rad); |
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125 } |
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126 S_model.prototype.S_show=function() { this.d=true; } |
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127 S_model.prototype.S_hide=function() { this.d=false; } |
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128 function S_cube(d,c) { //distance & color |
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129 return new S_cone(d,d,Math.cos(Math.PI/4)*d*2,1,4,c); |
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130 } |
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131 function S_cylinder(w,h,r,c,clr,e) { |
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132 return new S_cone(w,w,h,r,c,clr,e); |
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133 } |
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134 // width, height, "rows", "columns", color, ends |
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135 function S_cone(w1,w2,h,r,c,clr,e) { |
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136 var i,r1=0,r2=c,v=new Array(),t=new Array(),rxc=r*c; |
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137 for(i=0;i<=r;i++) |
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138 v=v.concat(S_verticeRing(h*(0.5-i/r),c,w1*i/r+w2*(r-i)/r)); |
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139 for(i=0;i<r;i++,r1+=c,r2+=c) |
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140 t=t.concat(S_triangleRing(r1,r2,c,clr)); |
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141 if (e!="hideEnds") |
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142 for(i=1;i<(c-1);i++) { |
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143 t.push(new S_face(0,i,i+1,clr)); |
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144 t.push(new S_face(rxc,rxc+i+1,rxc+i,clr)); |
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145 } |
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146 return new S_model(v,t); |
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147 } |
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148 function S_sphere(d,r,c,clr) { |
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149 // distance, "rows">=2, "columns">=3, color paramaters |
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150 var v=new Array(),t=new Array(),r_1xc=(r-1)*c,r_2xc=(r-2)*c; |
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151 var i,j,tmp,r1=0,r2=c; |
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152 for(i=1;i<r;i++) { |
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153 tmp=Math.PI*i/r; |
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154 v=v.concat(S_verticeRing(d*Math.cos(tmp),c,Math.sin(tmp)*d)); |
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155 } |
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156 v.push(new S_vertice( d,0,0)); |
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157 v.push(new S_vertice(-d,0,0)); |
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158 for(i=0;i<(r-2);i++,r1+=c,r2+=c) |
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159 t=t.concat(S_triangleRing(r1,r2,c,clr)); |
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160 for(i=0,j=1;i<c;i++,j=++j%c) { |
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161 t.push(new S_face(r_1xc,i,j,clr)); |
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162 t.push(new S_face(r_1xc+1,r_2xc+j,r_2xc+i,clr)); |
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163 } |
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164 return new S_model(v,t); |
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165 } |
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166 S_model.prototype.S_scale=function(x) { |
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167 this.tm[0]*=x; this.tm[5]*=x; this.tm[10]*=x; |
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168 } |
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169 S_model.prototype.S_faceColor=function(i,c) { this.f[i].c=c; } |
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170 S_model.prototype.S_scaleX=function(s) { this.tm[0]*=s; } |
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171 S_model.prototype.S_scaleY=function(s) { this.tm[5]*=s; } |
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172 S_model.prototype.S_scaleZ=function(s) { this.tm[10]*=s; } |
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173 function S_scene(dv,l,t,w,h,cmra) { // left, top, width, height |
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174 this.dv=dv; |
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175 this.ps=1; // pixel size |
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176 this.l=l; this.t=t; this.w=w; this.h=h; |
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177 this.cx=l+w/2; this.cy=t+h/2; // center x, center y |
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178 this.dt="paint"; // output type |
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179 this.m=new Array(); // model array |
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180 this.lght=new S_light(); |
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181 this.lc=S_rgbColor(255,255,255); // light color |
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182 this.cmra=-cmra; // camera on z axis |
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183 this.bfr=S_buffer(h,w); |
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184 } |
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185 function S_buffer(h,w) { |
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186 var i, j, b=new Array(); |
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187 for(i=0;i<h;i++) { |
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188 b[i]=new Array(); |
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189 for(j=0;j<w;j++) b[i][j]=new S_pixel(); |
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190 } |
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191 return b; |
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192 } |
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193 function S_pixel() { // display boolean, color |
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194 this.d=true; this.c=0; |
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195 } |
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196 S_pixel.prototype.S_setColor=function(c) { |
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197 this.d=true; this.c=c; |
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198 } |
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199 S_pixel.prototype.S_hide=function() { this.d=false; } |
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200 S_scene.prototype.S_pixelSize=function(ps){ this.ps=ps; } |
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201 S_scene.prototype.S_widthAndHeight=function(w,h){ this.w=w; this.h=h; } |
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202 S_scene.prototype.S_center=function(cx,cy){ this.cx=cx; this.cy=cy; } |
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203 S_scene.prototype.S_paint=function(){ this.dt="paint"; } |
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204 S_scene.prototype.S_models=function() { |
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205 var i; this.m=new Array(); |
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206 for(i=0;i<arguments.length;i++) this.m.push(arguments[i]); |
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207 } |
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208 S_scene.prototype.S_lightColor=function(c){ this.lc=c; } |
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209 S_scene.prototype.S_project=function() { |
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210 var i, j, v, tm, d, m; |
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211 for(i=0;i<this.m.length;i++) { |
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212 m=this.m[i]; tm=this.m[i].tm; |
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213 for(j=0;j<m.v.length;j++) { |
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214 v=m.v[j]; |
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215 v.t.x=v.x*tm[0]+v.y*tm[4]+v.z*tm[8]+v.w*tm[12]; |
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216 v.t.y=v.x*tm[1]+v.y*tm[5]+v.z*tm[9]+v.w*tm[13]; |
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217 v.t.z=v.x*tm[2]+v.y*tm[6]+v.z*tm[10]+v.w*tm[14]; |
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218 d=(this.cmra-v.t.z/2); |
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219 if (d<0) { |
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220 v.p.x=(this.cmra*v.t.x/d)+this.cx; |
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221 v.p.y=-(this.cmra*v.t.y/d)+this.cy; |
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222 } |
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223 } |
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224 } |
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225 } |
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226 S_scene.prototype.S_display=function(disp){ |
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227 var i, j, k, s="", ds, c, cnt=0; // ds:div start |
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228 this.tr=new Array(); // triangles ready to draw |
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229 this.S_project(); |
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230 this.S_adjustLight(); |
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231 this.S_clearBuffer(); |
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232 for(i=0;i<this.m.length;i++) { |
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233 this.m[i].S_setupFaces(this.tr,this.lght.t); |
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234 for(j=0;j<this.tr.length;j++) { // loop through triangles |
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235 c=S_divColor(this.tr[j].c,this.lc,this.tr[j].b); |
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236 S_setupBuffer(this,this.tr[j].p,c); |
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237 } |
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238 } |
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239 for(i=0;i<this.h;i++) { |
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240 ds=-1; |
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241 for(j=0,k=1;j<this.w;j++,k++) { |
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242 if((this.bfr[i][j].d==true)&&(ds==-1)) ds=j; |
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243 if( (this.bfr[i][j].d==true)&& |
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244 ( (k==this.w)|| |
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245 (this.bfr[i][k].d==false)|| |
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246 (!S_sameColor(this.bfr[i][j].c, this.bfr[i][k].c)) ) ) { |
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247 s+=S_divString(S_rgbColorString(this.bfr[i][j].c),this.t+i*this.ps,this.l+ds*this.ps,this.ps,(k-ds)*this.ps); |
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248 ds=-1; |
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249 cnt++; |
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250 } |
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251 } |
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252 } |
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253 S_writeInnerHTML(this.dv,s); |
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254 if(disp=="ShowCount") alert(cnt); |
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255 } |
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256 S_scene.prototype.S_displayAndShowCount=function(){ |
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257 this.S_display("ShowCount"); |
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258 } |
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259 S_model.prototype.S_setupFaces=function(tr,lght) { |
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260 var i, j, fn, v, p=new Array(); // vertice & projection arrays |
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261 var z=new Array(); |
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262 for(i=0;i<this.f.length;i++) { // loop through faces |
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263 v=this.f[i].v; |
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264 for(j=0;j<3;j++) { p[j]=this.v[v[j]].p; } |
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265 for(j=0;j<3;j++) { z[j]=this.v[v[j]].t.z; } |
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266 if (((p[1].x-p[0].x)*(p[2].y-p[0].y))<((p[2].x-p[0].x)*(p[1].y-p[0].y))) { |
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267 this.f[i].d=true; |
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268 fn=S_faceNormal(this.v[v[0]].t, this.v[v[1]].t, this.v[v[2]].t); |
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269 this.f[i].b=S_faceIntensity(fn,lght); |
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270 tr.push(new S_triangle(fn,this.f[i].b,p.slice(),this.f[i].c,z)); |
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271 } else { this.f[i].d=false; } |
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272 } |
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273 } |
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274 // normal, brightness, array of 2D projection coordinates, and z depth |
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275 function S_triangle(fn,b,p,c,z) { |
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276 this.fn=fn; this.b=b; this.p=p; this.z=z; this.c=c; |
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277 } |
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278 function S_faceNormal(a,b,c){ |
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279 var cr=S_cross(S_subVec3D(b,a), S_subVec3D(b,c)); |
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280 return S_normalizeVec3D(cr); |
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281 } |
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282 function S_faceIntensity(fn,lght) { |
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283 var i=S_dotVec3D(fn,lght); return (i>0)?i:0; |
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284 } |
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285 function S_divColor(c,lc,b) { // c:array of colors |
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286 var i, clr=new Array(); |
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287 for(i=0;i<3;i++) clr[i]=Math.floor(c[i]+(lc[i]-c[i]+1)*b); |
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288 for(i=0;i<3;i++) if (clr[i]>lc[i]) { clr[i]=lc[i]; } |
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289 return S_rgbColor(clr[0],clr[1],clr[2]); |
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290 } |
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291 function S_sameColor(a,b) { |
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292 for(var i=0;i<3;i++) { if(a[i]!=b[i]) return false; } |
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293 return true; |
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294 } |
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295 function S_setupBuffer(scn,p,c) { |
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296 // temp, counters, min, max, scanline, vertice & slope arrays |
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297 var t,i,j,xmin=new Array(),xmax=new Array(),sl; |
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298 var v=new Array(), m=new Array(); |
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299 p.sort(function(a,b) { return a.y-b.y; } ); |
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300 for(i=0;i<3;i++) p[i].y=Math.floor(p[i].y); |
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301 v[0]=S_subVec2D(p[1],p[0]); |
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302 v[1]=S_subVec2D(p[2],p[0]); |
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303 v[2]=S_subVec2D(p[2],p[1]); |
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304 for(i=0;i<3;i++) { m[i]=(v[i].y!=0)?v[i].x/v[i].y:0; } |
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305 for(i=0,sl=scn.t;i<scn.h;i++,sl++) { |
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306 xmin[i]=1000;xmax[i]=0; |
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307 if((sl>=p[0].y)&&(sl<=p[2].y)) { |
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308 xmin[i]=xmax[i]=Math.floor(p[0].x+m[1]*(sl-p[0].y)); |
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309 } |
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310 if((sl>=p[0].y)&&(sl<=p[1].y)) { |
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311 t=Math.floor(p[0].x+m[0]*(sl-p[0].y)); |
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312 if(t<xmin[i]) xmin[i]=Math.floor(t); |
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313 else if(t>xmax[i]) xmax[i]=Math.floor(t); |
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314 } |
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315 if((sl>=p[1].y)&&(sl<=p[2].y)) { |
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316 t=Math.floor(p[1].x+m[2]*(sl-p[1].y)); |
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317 if(t<xmin[i]) xmin[i]=Math.floor(t); |
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318 else if(t>xmax[i]) xmax[i]=Math.floor(t); |
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319 } |
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320 for(j=0;j<scn.w;j++) |
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321 if((j>=(xmin[i]-scn.l))&&(j<=(xmax[i]-scn.l))) { |
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322 scn.bfr[i][j].d=true; scn.bfr[i][j].c=c; |
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323 } |
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324 } |
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325 } |
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326 function S_light() { |
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327 this.x=0; this.y=1; this.z=0; this.w=1; // original coordinates |
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328 this.t=new S_vec3D(0,1,0); // transformed coordinates |
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329 this.tm=new S_matrix(); |
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330 } |
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331 S_scene.prototype.S_adjustLight=function() { |
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332 var m=this.lght.tm, l=this.lght; |
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333 l.t.x=l.x*m[0]+l.y*m[4]+ l.z*m[8]+l.w*m[12]; |
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334 l.t.y=l.x*m[1]+l.y*m[5]+ l.z*m[9]+l.w*m[13]; |
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335 l.t.z=l.x*m[2]+l.y*m[6]+ l.z*m[10]+l.w*m[14]; |
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336 l.t=S_normalizeVec3D(l.t); |
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337 } |
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338 S_scene.prototype.S_lightRotateX=function(a) { |
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339 S_rotate(this.lght.tm,"x",a*=S_deg2Rad); |
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340 } |
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341 S_scene.prototype.S_lightRotateY=function(a) { |
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342 S_rotate(this.lght.tm,"y",a*=S_deg2Rad); |
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343 } |
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344 S_scene.prototype.S_lightRotateZ=function(a) { |
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345 S_rotate(this.lght.tm,"z",a*=S_deg2Rad); |
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346 } |
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347 S_scene.prototype.S_clearBuffer=function() { |
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348 for(var i=0;i<this.h;i++) |
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349 for(var j=0;j<this.w;j++) this.bfr[i][j].d=false; |
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350 } |
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351 function S_divString(b,t,l,h,w) { |
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352 var s='<div style="background-color:'+b+';position:absolute;'; |
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353 s+='top:'+t+'px;left:'+l+'px;height:'+h+'px;width:'+w; |
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354 return s+'px;font-size:0;visibility:visible"></div>'; |
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355 } |
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356 function S_writeInnerHTML(id,text) { |
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357 document.getElementById(id).innerHTML = text; |
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358 } |
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359 </script> |
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360 </head> |
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361 <body> |
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362 <div class="z1" id="graphicsDiv">Text to be replaced with graphics.</div> |
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363 <script type="text/javascript"> |
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364 if(S_checkBrowser()) { |
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365 var intrvl; |
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366 // Create a new scene with parameters for |
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367 // div id, left, top, width, height, and camera distance |
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368 var scn=new S_scene("graphicsDiv",75,25,100,100,300); |
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369 scn.S_pixelSize(3); // set scene pixel size |
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370 var c=S_rgbColor(0,0,127); // color |
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371 var c2=S_rgbColor(0,127,127); // color |
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372 var m=new S_cube(18,c); // model |
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373 m.S_faceColor(4,c2); |
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374 m.S_faceColor(5,c2); |
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375 m.S_scaleX(2.5); // scale model along x axis |
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376 scn.S_models(m); // add model(s) to scene |
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377 scn.S_lightRotateX(-25); // adjust light |
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378 function r(){ // rotation function |
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379 m.S_rotateX(11); // rotate model around y axis |
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380 m.S_rotateY(5); // rotate model around y axis |
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381 m.S_rotateZ(7); // rotate model around z axis |
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382 scn.S_display(); // display scene |
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383 } // end rotation function |
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384 intrvl=setInterval('r();',75); |
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385 } |
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386 </script> |
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387 |
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388 </body> |
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389 </html> |
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390 |