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/***************************************************************************
* mathgl.js is part of Math Graphic Library
* Copyright (C) 2012 Alexey Balakin <balakin@appl.sci-nnov.ru> *
* *
* This program is free software; you can redistribute it and/or modify *
* it under the terms of the GNU Library General Public License as *
* published by the Free Software Foundation; either version 3 of the *
* License, or (at your option) any later version. *
* *
* This program is distributed in the hope that it will be useful, *
* but WITHOUT ANY WARRANTY; without even the implied warranty of *
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
* GNU General Public License for more details. *
* *
* You should have received a copy of the GNU Library General Public *
* License along with this program; if not, write to the *
* Free Software Foundation, Inc., *
* 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. *
***************************************************************************/
var obj;
var ctx;
var cw,ch;
var deg = Math.PI/180; //0.017453293;
var main = function()
{
ctx = document.getElementById("canvas").getContext("2d");
cw = document.getElementById("canvas").width;
ch = document.getElementById("canvas").height;
ctx.lineCap="round"; // global setting
mgl_init("json/alpha.json");
// mgl_init("json/alpha.jsonz");
var t1 = new Date();
mgl_draw_good(obj, ctx);
// draw_fast(obj, ctx);
var t2 = new Date();
document.getElementById("time").innerHTML = "Drawing time is "+(t2.getTime()-t1.getTime())+" ms. Number of primitives is "+obj.nprim+". Canvas size is "+obj.width+"*"+obj.height+" points.";
};
var mglChange = function()
{
var name = document.getElementById("select").value;
mgl_init("json/"+name+".json");
var t1 = new Date();
ctx.clearRect(0,0,cw,ch);
mgl_draw_good(obj, ctx);
// draw_fast(obj, ctx);
var t2 = new Date();
document.getElementById("time").innerHTML = "Drawing time is "+(t2.getTime()-t1.getTime())+" ms. Number of primitives is "+obj.nprim;
}
// mouse handling functions
var mglMouseUp = function()
{ obj.button = 0; obj.good = 0;
ctx.clearRect(0,0,cw,ch);
mgl_draw_good(obj, ctx); }
var mglMouseDown = function(event)
{
obj.good = 1;
obj.mouseX = event.clientX;
obj.mouseY = event.clientY;
obj.button = event.button+1;
}
var mglMouseMove = function(event)
{
var x = event.clientX-obj.mouseX;
var y = event.clientY-obj.mouseY;
switch(obj.button)
{
case 1: // rotate
mgl_rotate_down(obj, y*180/ch);
mgl_rotate_left(obj, x*180/cw); break;
case 2: // shift
mgl_shift_down(obj, y/ch);
mgl_shift_right(obj, x/cw); break;
case 3: // zoom
mgl_zoom_in(obj, Math.pow(1.003,x)); break;
}
if(obj.button)
{
obj.mouseX += x; obj.mouseY += y;
mgl_draw(obj, ctx);
}
}
var mglMouseWheel = function(event)
{
// var e = window.event;
var d = event.wheelDelta? event.wheelDelta:event.detail*(-120);
mgl_zoom_in(obj, Math.pow(1.002,d));
mgl_draw(obj, ctx);
}
var mglRestore = function()
{
mgl_restore(obj);
ctx.clearRect(0,0,cw,ch);
mgl_draw_good(obj,ctx);
}
// The function load data and set up rotation/zoom state
var mgl_init = function(name)
{
// now obtain JSON data
var req = new XMLHttpRequest(), txt;
req.open( "GET", name, false );
req.overrideMimeType('text\/plain; charset=x-user-defined');
/* req.responseType = "arraybuffer";
req.onload = function (oEvent) {
var arrayBuffer = req.response; // Note: not oReq.responseText
console.debug("arrayBuffer=",arrayBuffer);
if (arrayBuffer) {
var compressed = new Uint8Array(arrayBuffer);
console.debug("compressed=",compressed);
// var gunzip = new Zlib.Gunzip(compressed);
// txt = gunzip.decompress();
var inflate = new Zlib.Inflate(arrayBuffer);
txt = inflate.decompress();
}
};*/
req.send(null);
// if(name[name.length-1]!='z')
txt = req.responseText;
// else
// {
// console.debug("compressed=",req.responseText);
// var inflate = new Zlib.Inflate(req.responseText);
// txt = inflate.decompress();
// }
obj = JSON.parse(txt);
// copy original data for transformation
obj.pp = new Array();
for(var i=0;i<obj.npnts;i++) // copy original data for transformation
obj.pp[i] = [obj.pnts[i][0],obj.pnts[i][1],obj.pnts[i][2]];
// and set other variables
obj.pf = 0; // perspective should be |pf|<1
obj.z = [0,1, 0,1]; // current zoom/shift
obj.tet= 0; // current tet-angle for rotation
obj.phi= 0; // current phi-angle for rotation
obj.bet= 0; // current beta-angle for rotation
obj.button = 0; // pressed mouse buttons (0-none, 1-left, 2-right)
obj.mouseX=0; obj.mouseY=0;
obj.fast = 0; obj.good = 0;
obj.dx = cw/obj.width;
obj.dy = ch/obj.height;
}
// Functions for rotation, shifting and zooming of the picture as whole
// Basically it redefine obj properties by user-friendly manner
var mgl_rotate_left = function(obj,val) { obj.tet += val; }
var mgl_rotate_right = function(obj,val){ obj.tet -= val; }
var mgl_rotate_up = function(obj,val) { obj.bet += val; }
var mgl_rotate_down = function(obj,val) { obj.bet -= val; }
var mgl_restore = function(obj) // restore transformation state
{ obj.tet=obj.phi=obj.bet=0; obj.z=[0,1,0,1]; obj.pf=0; }
var mgl_perspective = function(obj,val) // add perspective, def.value=0.1
{
var x = obj.pf/(1-obj.pf) + val;
obj.pf = x/(1+x); // let use this formula for "smooth" changing
}
var mgl_zoom_in = function(obj,factor) // zoom in picture
{ if(factor) mgl_zoom_out(obj,1/factor); }
var mgl_zoom_out = function(obj,factor) // zoom out picture
{
var d, c;
d=(obj.z[3]-obj.z[2])*factor/2; c=(obj.z[3]+obj.z[2])/2;
obj.z[2] = c-d; obj.z[3] = c+d;
d=(obj.z[1]-obj.z[0])*factor/2; c=(obj.z[1]+obj.z[0])/2;
obj.z[0] = c-d; obj.z[1] = c+d;
}
var mgl_shift_up = function(obj,val) // shift up
{ mgl_shift_down(obj,-val); }
var mgl_shift_down = function(obj,val) // shift down
{
var d=val/(obj.z[3]-obj.z[2]);
obj.z[2] -= d; obj.z[3] -= d;
}
var mgl_shift_left = function(obj,val) // shift left
{ mgl_shift_right(obj,-val); }
var mgl_shift_right = function(obj,val) // shift right
{
var d=val/(obj.z[1]-obj.z[0]);
obj.z[0] -= d; obj.z[1] -= d;
}
// This function make drawing itself
var mgl_draw = function(obj, ctx)
{
ctx.clearRect(0,0,cw,ch);
if(obj.good==0)
{
obj.good = 1;
setTimeout(function(){mgl_draw_good(obj, ctx);},300);
}
else if(obj.fast==0)
{
obj.fast = 1;
setTimeout(function(){mgl_draw_fast(obj, ctx);},0);
}
/* var t1 = new Date();
draw_good(obj, ctx);
// draw_fast(obj, ctx);
var t2 = new Date();
console.debug("execution time is ", t2.getTime()-t1.getTime());*/
}
// This function make fast drawing
var mgl_draw_fast = function(obj, ctx, skip)
{
if(obj.fast==0) return;
mgl_prepare(obj,skip); // update coordinates
// for each primitive skipping superfluous
for(var i=0;i<obj.nprim;i ++)
{
var prim = obj.prim[i];
var n1 = prim[1], nn = obj.pp[n1];
if(prim[0]==1 || obj.pnts[n1][3]<0)
mgl_draw_prim(obj,ctx,prim,Math.abs(obj.b[12]));
else if(obj.prim[i][0]<4)
{
ctx.fillStyle = obj.prim[i][10];
ctx.fillRect(nn[0], nn[1], 2, 2);
}
}
obj.fast = 0;
}
// This function make high-quality drawing
var mgl_draw_good = function(obj, ctx, skip)
{
obj.fast = 0;
mgl_prepare(obj,skip); // update coordinates
// NOTE: this valid only for current zoom/view. In general case it should be more complicated
var s1 = Math.sqrt(obj.b[0]*obj.b[0]+obj.b[1]*obj.b[1]+obj.b[2]*obj.b[2]), s2 = Math.abs(obj.b[12]);
for(var i=0;i<obj.nprim;i++) // for each primitive
{
var prim = obj.prim[i];
mgl_draw_prim(obj,ctx,prim,obj.pnts[prim[1]][3]<0?s2:s1);
}
obj.good = 0;
}
/** perform high-quality drawing */
var mgl_draw_prim = function(obj, ctx, prim, scl)
{
var n1 = prim[1], n2 = prim[2];
var n3 = prim[3], n4 = prim[4];
var pp = obj.pp;
var deg = Math.PI/180; //0.017453293;
ctx.strokeStyle = prim[10];
ctx.fillStyle = prim[10];
ctx.lineWidth = 1;
switch(prim[0]) // draw it depending on its type
{
case 0: // marks
ctx.lineWidth = prim[7]*prim[6]*5e-4;
mgl_draw_mark(ctx, obj.pp[n1][0], obj.pp[n1][1], n4, prim[6]/100, scl);
break;
case 1: // lines
ctx.beginPath();
ctx.moveTo(obj.pp[n1][0],obj.pp[n1][1]);
ctx.lineTo(obj.pp[n2][0],obj.pp[n2][1]);
ctx.lineWidth = prim[7]/100;
ctx.stroke(); break;
case 2: // triangles
ctx.beginPath();
ctx.moveTo(obj.pp[n1][0],obj.pp[n1][1]);
ctx.lineTo(obj.pp[n2][0],obj.pp[n2][1]);
ctx.lineTo(obj.pp[n3][0],obj.pp[n3][1]);
ctx.closePath(); ctx.fill(); break;
case 3: // quadrangles
ctx.beginPath();
ctx.moveTo(obj.pp[n1][0],obj.pp[n1][1]);
ctx.lineTo(obj.pp[n2][0],obj.pp[n2][1]);
ctx.lineTo(obj.pp[n4][0],obj.pp[n4][1]);
ctx.lineTo(obj.pp[n3][0],obj.pp[n3][1]);
ctx.closePath();
// NOTE: look as alpha is disabled for lines
// So, next code should be only for the case alpha=false
if(prim[10].charAt(0)=='#') ctx.stroke();
ctx.fill(); break;
case 4: // glyphs
var t=prim[7]*deg/100;
var xx=obj.coor[n2][2]/100,yy=-obj.coor[n2][3]/100,zz=obj.coor[n2][4]/100;
var xc = obj.b[0]*xx + obj.b[1]*yy + obj.b[2]*zz;
var yc = obj.b[3]*xx + obj.b[4]*yy + obj.b[5]*zz;
var zc = obj.b[6]*xx + obj.b[7]*yy + obj.b[8]*zz;
var dv = (1-obj.pf/1.37)/(1-obj.pf*obj.pp[i][2]/obj.depth);
var cv = obj.pf/(1-obj.pf/1.37)/obj.depth;
xc += (obj.pp[n1][0]-obj.b[9])*zc*cv;//*dv;
yc += (obj.pp[n1][1]-obj.b[10])*zc*cv;//*dv;
if(obj.pnts[n1][3]<0) { xc=xx; yc=yy; }
var ll = xc*xc+yc*yc;
if(ll < 1e-10) break;
if(ll<1e10 && t/deg<1e4)
{
t = Math.atan2(yc,xc);
if(Math.abs(t)>Math.PI/2) t += Math.PI;
}
else t=0;
var c=Math.cos(t), s=Math.sin(t), d=prim[6]/200;
var b=[d*c, d*s, d*s, -d*c, obj.pp[n1][0],obj.pp[n1][1]];
var x=obj.coor[n2][0]*scl/100, y=obj.coor[n2][1]*scl/100, f=prim[8]*scl/1e5;
if(n3&8)
{
if(!(n3&4)) mgl_line_glyph(ctx, x,y, f,1,b);
else mgl_line_glyph(ctx, x,y, f,0,b);
}
else
{
if(!(n3&4)) mgl_fill_glyph(ctx, x,y, f,obj.glfs[n4],b);
else mgl_wire_glyph(ctx, x,y, f,obj.glfs[n4],b);
}
break;
}
}
// This function change coordinates according current transformations
// Usually this Function is called internally by draw()
var mgl_prepare = function(obj, skip)
{
// fill transformation matrix
if(!skip)
{
var dx = 1/Math.abs(obj.z[1]-obj.z[0]);
var dy = 1/Math.abs(obj.z[3]-obj.z[2]);
var cx=Math.cos(obj.tet*deg), sx=Math.sin(obj.tet*deg); // tetx
var cy=Math.cos(obj.phi*deg), sy=Math.sin(obj.phi*deg); // tety
var cz=Math.cos(obj.bet*deg), sz=Math.sin(obj.bet*deg); // tetz
obj.b = [obj.dx*dx*cx*cy, -obj.dx*dx*cy*sx, obj.dx*dx*sy,
obj.dy*dy*(cx*sy*sz+cz*sx), obj.dy*dy*(cx*cz-sx*sy*sz), -obj.dy*dy*cy*sz,
sx*sz-cx*cz*sy, cx*sz+cz*sx*sy, cy*cz,
cw/2*(1+dx-obj.z[1]-obj.z[0])/dx,
ch/2*(1+dy-obj.z[3]-obj.z[2])/dy, obj.depth/2, obj.dx*dx,obj.dy*dy,1];
}
// now transform points for found transformation matrix
var b = obj.b, i;
for(i=0;i<obj.npnts;i++)
{
var x = obj.pnts[i][0]-obj.width/2;
var y = obj.pnts[i][1]-obj.height/2;
var z = obj.pnts[i][2]-obj.depth/2;
if(obj.pnts[i][3]>=0) // TODO: check later when mglInPlot will be ready
obj.pp[i] = [b[9] + b[0]*x + b[1]*y + b[2]*z,
b[10] + b[3]*x + b[4]*y + b[5]*z,
b[11] + b[6]*x + b[7]*y + b[8]*z];
else
obj.pp[i] = [b[9]+b[12]*x,b[10]+b[13]*y,b[11]+b[14]*z];
}
if(obj.pf) for(var i=0;i<obj.npnts;i++) // perspective
{ // NOTE: it is not supported for coordinate determining now
var d = (1-obj.pf/1.37)/(1-obj.pf*obj.pp[i][2]/obj.depth);
if(obj.pnts[i][3]>=0) // TODO: check later when mglInPlot will be ready
{
obj.pp[i][0] = d*obj.pp[i][0] + (1-d)/2*obj.width;
obj.pp[i][1] = d*obj.pp[i][1] + (1-d)/2*obj.height;
}
}
// fill z-coordinates for primitives
if(!obj.fast)
{
for(i=0;i<obj.nprim;i++)
{
var n1 = obj.prim[i][1], n2 = obj.prim[i][2], n3 = obj.prim[i][3], n4 = obj.prim[i][4];
switch(obj.prim[i][0])
{
case 1: // lines
obj.prim[i][9] = (obj.pp[n1][2]+obj.pp[n2][2])/2; break;
case 2: // triangles
obj.prim[i][9] = (obj.pp[n1][2]+obj.pp[n2][2]+obj.pp[n3][2])/3; break;
case 3: // quadrangles
obj.prim[i][9] = (obj.pp[n1][2]+obj.pp[n2][2]+obj.pp[n3][2]+obj.pp[n4][2])/4; break;
default:
obj.prim[i][9] = obj.pp[n1][2]; break;
}
}
obj.prim.sort(mgl_cmp); // more accurate sorting
}
}
var mgl_cmp = function(a,b)
{
var tt = [0,2,4,5, 1,3,6, 7];
if(a[9]!=b[9]) return a[9] - b[9];
if(a[0]!=b[0]) return tt[b[0]]-tt[a[0]];
if(a[8]!=b[8]) return a[8] - b[8];
return a[3]-b[3];
}
// Function for drawing markers of type st with given size at position {x,y}
// Usually this function is called internally, but it can be called by user as well
var mgl_draw_mark = function(ctx,x,y,st,size,d)
{
if(size<=0) { st = 46; size=1; }
var s = size*d;
ctx.beginPath();
switch(st)
{
case 111: // 'o'
ctx.arc(x,y,s,0,Math.PI*2); ctx.stroke(); break;
case 79: // 'O'
ctx.arc(x,y,s,0,Math.PI*2); ctx.fill(); break;
case 67: // 'C'
ctx.arc(x,y,s,0,Math.PI*2); ctx.stroke();
ctx.arc(x,y,0.1*s,0,Math.PI*2); ctx.fill(); break;
case 80: // 'P'
ctx.moveTo(x-s,y-s); ctx.lineTo(x+s,y-s);
ctx.lineTo(x+s,y+s); ctx.lineTo(x-s,y+s); ctx.lineTo(x-s,y-s);
ctx.moveTo(x-s,y); ctx.lineTo(x+s,y);
ctx.moveTo(x,y-s); ctx.lineTo(x,y+s);
ctx.stroke(); break;
case 43: // '+'
ctx.moveTo(x-s,y); ctx.lineTo(x+s,y);
ctx.moveTo(x,y-s); ctx.lineTo(x,y+s);
ctx.stroke(); break;
case 88: // 'X'
ctx.moveTo(x-s,y-s); ctx.lineTo(x+s,y-s);
ctx.lineTo(x+s,y+s); ctx.lineTo(x-s,y+s); ctx.lineTo(x-s,y-s);
ctx.moveTo(x-s,y-s); ctx.lineTo(x+s,y+s);
ctx.moveTo(x+s,y-s); ctx.lineTo(x-s,y+s);
ctx.stroke(); break;
case 120: // 'x'
ctx.moveTo(x-s,y-s); ctx.lineTo(x+s,y+s);
ctx.moveTo(x+s,y-s); ctx.lineTo(x-s,y+s);
ctx.stroke(); break;
case 115: // 's'
ctx.moveTo(x-s,y-s); ctx.lineTo(x+s,y-s);
ctx.lineTo(x+s,y+s); ctx.lineTo(x-s,y+s);
ctx.closePath(); ctx.stroke(); break;
case 83: // 'S'
ctx.moveTo(x-s,y-s); ctx.lineTo(x+s,y-s);
ctx.lineTo(x+s,y+s); ctx.lineTo(x-s,y+s);
ctx.closePath(); ctx.fill(); break;
case 100: // 'd'
ctx.moveTo(x-s,y); ctx.lineTo(x,y-s);
ctx.lineTo(x+s,y); ctx.lineTo(x,y+s);
ctx.closePath(); ctx.stroke(); break;
case 68: // 'D'
ctx.moveTo(x-s,y); ctx.lineTo(x,y-s);
ctx.lineTo(x+s,y); ctx.lineTo(x,y+s);
ctx.closePath(); ctx.fill(); break;
case 42: // '*'
ctx.moveTo(x-s,y); ctx.lineTo(x+s,y);
ctx.moveTo(x-0.6*s,y-0.8*s); ctx.lineTo(x+0.6*s,y+0.8*s);
ctx.moveTo(x+0.6*s,y-0.8*s); ctx.lineTo(x-0.6*s,y+0.8*s);
ctx.stroke(); break;
case 89: // 'Y'
ctx.moveTo(x,y-s); ctx.lineTo(x,y);
ctx.moveTo(x-0.8*s,y+0.6*s); ctx.lineTo(x,y);
ctx.moveTo(x+0.8*s,y+0.6*s); ctx.lineTo(x,y);
ctx.stroke(); break;
case 86: // 'T'
ctx.moveTo(x-s,y-s/2); ctx.lineTo(x+s,y-s/2);
ctx.lineTo(x,y+s); ctx.closePath();
ctx.fill(); break;
case 118: // '^'
ctx.moveTo(x-s,y-s/2); ctx.lineTo(x+s,y-s/2);
ctx.lineTo(x,y+s); ctx.closePath();
ctx.stroke(); break;
case 84: // 'V'
ctx.moveTo(x-s,y+s/2); ctx.lineTo(x+s,y+s/2);
ctx.lineTo(x,y-s); ctx.closePath();
ctx.fill(); break;
case 94: // 'v'
ctx.moveTo(x-s,y+s/2); ctx.lineTo(x+s,y+s/2);
ctx.lineTo(x,y-s); ctx.closePath();
ctx.stroke(); break;
case 76: // 'L'
ctx.moveTo(x+s/2,y-s); ctx.lineTo(x+s/2,y+s);
ctx.lineTo(x-s,y); ctx.closePath();
ctx.fill(); break;
case 60: // '<'
ctx.moveTo(x+s/2,y-s); ctx.lineTo(x+s/2,y+s);
ctx.lineTo(x-s,y); ctx.closePath();
ctx.stroke(); break;
case 82: // 'R'
ctx.moveTo(x-s/2,y-s); ctx.lineTo(x-s/2,y+s);
ctx.lineTo(x+s,y); ctx.closePath();
ctx.fill(); break;
case 62: // '>'
ctx.moveTo(x-s/2,y-s); ctx.lineTo(x-s/2,y+s);
ctx.lineTo(x+s,y); ctx.closePath();
ctx.stroke(); break;
// case 46: // '.'
default:
ctx.rect(x,y,1,1); ctx.fill(); break;
}
}
// This function for internal use only!!!
var mgl_fill_glyph = function(ctx, x,y, f,g,b)
{
var xx,yy,j;
var np=0; ctx.beginPath();
for(j=0;j<g[0];j++)
{
xx = g[1][2*j]; yy = g[1][2*j+1];
if(xx==16383 && yy==16383)
{
ctx.closePath(); np = 1;
}
else if(np)
{
xx = x+f*xx; yy = y+f*yy; np = 0;
ctx.moveTo(b[4]+b[0]*xx+b[1]*yy, b[5]+b[2]*xx+b[3]*yy);
}
else
{
xx = x+f*xx; yy = y+f*yy;
ctx.lineTo(b[4]+b[0]*xx+b[1]*yy, b[5]+b[2]*xx+b[3]*yy);
}
}
ctx.closePath(); ctx.fill('evenodd');
}
// This function for internal use only!!!
var mgl_wire_glyph = function(ctx, x,y, f,g,b)
{
var xx,yy,j;
var np=0; ctx.beginPath();
for(j=0;j<g[0];j++)
{
xx = g[1][2*j]; yy = g[1][2*j+1];
if(xx==16383 && yy==16383)
{
ctx.closePath(); np = 1;
}
else if(np)
{
xx = x+f*xx; yy = y+f*yy; np = 0;
ctx.moveTo(b[4]+b[0]*xx+b[1]*yy, b[5]+b[2]*xx+b[3]*yy);
}
else
{
xx = x+f*xx; yy = y+f*yy;
ctx.lineTo(b[4]+b[0]*xx+b[1]*yy, b[5]+b[2]*xx+b[3]*yy);
}
}
ctx.closePath(); ctx.stroke();
}
// This function for internal use only!!!
var mgl_line_glyph = function(ctx, x,y, f,solid,b)
{
var xx,yy,j,xs,ys;
var dy = 0.004;
ctx.moveTo(b[4]+b[0]*x+b[1]*(y-dy), b[5]+b[2]*x+b[3]*(y-dy));
ctx.lineTo(b[4]+b[0]*x+b[1]*(y+dy), b[5]+b[2]*x+b[3]*(y+dy));
ctx.lineTo(b[4]+b[0]*(x+f)+b[1]*(y+dy), b[5]+b[2]*(x+f)+b[3]*(y+dy));
ctx.lineTo(b[4]+b[0]*(x+f)+b[1]*(y-dy), b[5]+b[2]*(x+f)+b[3]*(y-dy));
ctx.closePath();
if(solid) ctx.fill();
else ctx.stroke();
}
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