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2537 lines (2214 loc) · 67.8 KB
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<!DOCTYPE html>
<html>
<head>
<meta http-equiv="Content-Type" content="text/html; charset=UTF-8"/>
<title>Welcome to ε-δ weight boxing</title>
<!-- #BeginEditable "Script" -->
<style type="text/css">
#gxInputOutput { width:500px; }
#gxInputOutput table{ width: 100%; table-layout: fixed;}
.gxCredit { font-size: x-small; padding-top: 10px; }
.gxInputLowerLimit {width: 33%; text-align: left; font-size: small; }
.gxInputCurrentValue {width: 34%; text-align: center; font-size: small; }
.gxInputUpperLimit {width: 33%; text-align: right; font-size: small; }
.gxInputButton { text-align: center; width: 4em; }
</style>
<!--link href="your_style_sheet.css" rel="stylesheet" type="text/css"-->
<!--[if lt IE 9]><script type="text/javascript" src="http://www.geometryexpressions.com/appgen/excanvas.js"></script><![endif]-->
<script type="text/javascript">
var FIXED_ASPECT_RATIO = 1;
var FIXED_BOUNDS = 0.0;
var BACKGROUND_COLOR = "#ffffff";
// Internal inputs
var X = 1;
var x = -4.33460369232971;
var delta = 1.42517400577029;
var theta_0 = 4.71293993381258;
var theta_1 = 6.28260065834628;
// Internal outputs
var JGOB0A = 0.000550953400013551;
var JGOB0B = -0.999999848225164;
var JGOB0C = -0.0315071521642406;
var JGOB1A = 0.000550953400013551;
var JGOB1B = -0.999999848225164;
var JGOB1C = 3.10693468552407;
var JGOB2A = 0.999999829092876;
var JGOB2B = -0.00058464879999592;
var JGOB2C = 5.75975643778474;
var JGOB3X = 1;
var JGOB3Y = 5.46773513282306;
var JGOB5X = -5.7597776981;
var JGOB5Y = -0.0346805265339629;
var JGOB6A = 0.999999829092876;
var JGOB6B = -0.00058464879999592;
var JGOB6C = 2.91124471805952;
var JGOB7X = -2.90942968655942;
var JGOB7Y = 3.10533219665744;
var JGOB8X = -4.33460369232971;
var JGOB8Y = 1.55906020552518;
var z_3_OUT3 = 1.77235789105859;
var z_2_Y_OUT2 = 1.73767736469953;
var z_2_X_OUT2 = -4.1821658174;
var z_1_Y_OUT1 = 3.37412547029386;
var z_1_X_OUT1 = -2.6045539367;
var z_0_Y_OUT0 = -0.0346805263250474;
var z_0_X_OUT0 = -5.7597776981;
// Declaration code
// Declare JGOB0
// Declare JGOB1
// Declare JGOB2
// Declare JGOB3
// Declare JGOB4
function JGOB4Y(
X )
{
return F(X);
}
// Declare JGOB5
// Declare JGOB6
// Declare JGOB7
// Declare JGOB8
var dragHandlesList = new Array(
new Circle(JGOB8X, JGOB8Y, 6.000000)
);
var textUIdelta;
var textUIFF;
var F=Math.sin;
var textUIvecz_0_X_OUT0_z_0_Y_OUT0;
var textUIvecz_1_X_OUT1_z_1_Y_OUT1;
var textUIvecz_2_X_OUT2_z_2_Y_OUT2;
var textUIOUTz_3_OUT3;
function updateInputs()
{
if (commonGlobal.currentDraggable == 0) {
x = parameterOnFunction(dragHandlesList[0].x , dragHandlesList[0].y );
}
delta = eval(textUIdelta.value);
F = new Function("x","with(Math){ return "+textUIFF.value+";}");
}
function updateOutputs()
{
dragHandlesList[0].x = JGOB8X; dragHandlesList[0].y = JGOB8Y;
textUIvecz_0_X_OUT0_z_0_Y_OUT0.innerHTML = "(" + z_0_X_OUT0.toPrecision(8) + ", " + z_0_Y_OUT0.toPrecision(8) + ")";
textUIvecz_1_X_OUT1_z_1_Y_OUT1.innerHTML = "(" + z_1_X_OUT1.toPrecision(8) + ", " + z_1_Y_OUT1.toPrecision(8) + ")";
textUIvecz_2_X_OUT2_z_2_Y_OUT2.innerHTML = "(" + z_2_X_OUT2.toPrecision(8) + ", " + z_2_Y_OUT2.toPrecision(8) + ")";
textUIOUTz_3_OUT3.innerHTML = z_3_OUT3.toPrecision(8);
}
function recalcGeometry(
){
JGOB0A=Math.cos(theta_0);
JGOB0B=Math.sin(theta_0);
JGOB0C=((Math.cos((theta_0+((-1.0)*Math.PI)))*(x+(delta*(-1.0))))+(Math.sin((theta_0+((-1.0)*Math.PI)))*F((x+(delta*(-1.0))))));
JGOB1A=Math.cos(theta_0);
JGOB1B=Math.sin(theta_0);
JGOB1C=((Math.cos((theta_0+((-1.0)*Math.PI)))*(x+delta))+(Math.sin((theta_0+((-1.0)*Math.PI)))*F((x+delta))));
JGOB2A=Math.cos(theta_1);
JGOB2B=Math.sin(theta_1);
JGOB2C=((Math.cos((theta_1+((-1.0)*Math.PI)))*(x+(delta*(-1.0))))+(Math.sin((theta_1+((-1.0)*Math.PI)))*F((x+(delta*(-1.0))))));
JGOB3X=X;
JGOB3Y=F(X);
JGOB5X=(x+(delta*(-1.0)));
JGOB5Y=F((x+(delta*(-1.0))));
JGOB6A=Math.cos(theta_1);
JGOB6B=Math.sin(theta_1);
JGOB6C=((Math.cos((theta_1+((-1.0)*Math.PI)))*(x+delta))+(Math.sin((theta_1+((-1.0)*Math.PI)))*F((x+delta))));
JGOB7X=(x+delta);
JGOB7Y=F((x+delta));
JGOB8X=x;
JGOB8Y=F(x);
z_3_OUT3=Math.abs(((F(x)*(-1.0))+F((x+(delta*(-1.0))))));
z_2_Y_OUT2=F(x);
z_2_X_OUT2=x;
z_1_Y_OUT1=F((x+delta));
z_1_X_OUT1=(x+delta);
z_0_Y_OUT0=F((x+(delta*(-1.0))));
z_0_X_OUT0=(x+(delta*(-1.0)));
}
function computeGeometry( )
{
recalcGeometry();
// Compute JGOB0
// Compute JGOB1
// Compute JGOB2
// Compute JGOB4
// Compute JGOB5
// Compute JGOB6
// Compute JGOB7
// Compute JGOB8
}
function setMinBounds(wrld)
{
// Bounds JGOB0
// Bounds JGOB1
// Bounds JGOB2
// Bounds JGOB4
addFunctionBounds(wrld, JGOB4Y, -11.6523165426827, 1.77847649112412);
// Bounds JGOB5
wrld.extend(JGOB5X, JGOB5Y);
// Bounds JGOB6
// Bounds JGOB7
wrld.extend(JGOB7X, JGOB7Y);
// Bounds JGOB8
wrld.extend(JGOB8X, JGOB8Y);
// ILine Bounds JGOB0
iLineExtend(wrld, JGOB0A, JGOB0B, JGOB0C);
// ILine Bounds JGOB1
iLineExtend(wrld, JGOB1A, JGOB1B, JGOB1C);
// ILine Bounds JGOB2
iLineExtend(wrld, JGOB2A, JGOB2B, JGOB2C);
// ILine Bounds JGOB4
// ILine Bounds JGOB5
// ILine Bounds JGOB6
iLineExtend(wrld, JGOB6A, JGOB6B, JGOB6C);
// ILine Bounds JGOB7
// ILine Bounds JGOB8
}
function drawShapes(TranMat, InvTranMat, wrld, ctx)
{
// Draw JGOB0
drawInfiniteLine(wrld, TranMat, ctx, JGOB0A, JGOB0B, JGOB0C, "#000000", 2);
// Draw JGOB1
drawInfiniteLine(wrld, TranMat, ctx, JGOB1A, JGOB1B, JGOB1C, "#000000", 2);
// Draw JGOB2
drawInfiniteLine(wrld, TranMat, ctx, JGOB2A, JGOB2B, JGOB2C, "#000000", 2);
// Draw JGOB4
drawFunction(wrld, TranMat, ctx, JGOB4Y, 0, 0, "#000000", 1)
// Draw JGOB5
drawPoint(TranMat, ctx, JGOB5X, JGOB5Y, 3.300000, "#0000ff", false);
drawString(wrld, TranMat, ctx, JGOB5X , JGOB5Y , "A", 3.300000, "#000000");
// Draw JGOB6
drawInfiniteLine(wrld, TranMat, ctx, JGOB6A, JGOB6B, JGOB6C, "#000000", 2);
// Draw JGOB7
drawPoint(TranMat, ctx, JGOB7X, JGOB7Y, 3.300000, "#0000ff", false);
drawString(wrld, TranMat, ctx, JGOB7X , JGOB7Y , "B", 3.300000, "#000000");
// Draw JGOB8
drawPoint(TranMat, ctx, JGOB8X, JGOB8Y, 3.300000, "#0000ff", true);
drawString(wrld, TranMat, ctx, JGOB8X , JGOB8Y , "C", 3.300000, "#000000");
}
function init()
{
textUIdelta = document.getElementById("UIdelta");
textUIFF = document.getElementById("UIFF");
textUIvecz_0_X_OUT0_z_0_Y_OUT0 = document.getElementById("UIvecz_0_X_OUT0_z_0_Y_OUT0");
textUIvecz_1_X_OUT1_z_1_Y_OUT1 = document.getElementById("UIvecz_1_X_OUT1_z_1_Y_OUT1");
textUIvecz_2_X_OUT2_z_2_Y_OUT2 = document.getElementById("UIvecz_2_X_OUT2_z_2_Y_OUT2");
textUIOUTz_3_OUT3 = document.getElementById("UIOUTz_3_OUT3");
doFullUpdate(commonGlobal.world, commonGlobal.screenBox, commonGlobal.canvas, commonGlobal.context, commonGlobal.world2Screen, commonGlobal.screen2World);
textUIdelta.onchange = function() {
doFullUpdate(commonGlobal.world, commonGlobal.screenBox, commonGlobal.canvas, commonGlobal.context, commonGlobal.world2Screen, commonGlobal.screen2World);
};
textUIdelta.onchange();
textUIFF.onchange = function() {
doFullUpdate(commonGlobal.world, commonGlobal.screenBox, commonGlobal.canvas, commonGlobal.context, commonGlobal.world2Screen, commonGlobal.screen2World);
};
textUIFF.onchange();
}
/*
* Common Section
* - Code common to all generated javascript
*/
/************Math functions***************/
function arccos(x)
{
return Math.acos(x);
}
function arcsin(x)
{
return Math.asin(x);
}
function arctan(x)
{
return Math.atan(x);
}
function arcsec(x)
{
var u = Math.asin(Math.sqrt(x*x-1)/x);
if (x<-1)
{
return Math.PI + u;
}
else if (x>1)
{
return u;
}
return Number.NaN
}
function arccsc(x)
{
var u = Math.acos(Math.sqrt(x*x-1)/x);
if (x<-1)
{
return -u;
}
else if (x>1)
{
return u;
}
return Number.NaN
}
function sinh(x)
{
return (((Math.exp(x)+(Math.exp((x*(-1.0)))*(-1.0)))*0.5));
}
function cosh(x)
{
return (((Math.exp(x)+Math.exp((x*(-1.0))))*0.5));
}
function tanh(x)
{
return (((-1.0)+(Math.pow((1.0+Math.exp((x*(-2.0)))),(-1.0))*2.0)));
}
function arcsinh(x)
{
return (Math.log((x+Math.pow((1.0+Math.pow(x,2.0)),0.5))));
}
function arccosh(x)
{
return (Math.log((x+Math.pow(((-1.0)+Math.pow(x,2.0)),0.5))));
}
function arctanh(x)
{
return (Math.log(Math.pow((Math.pow((1.0+(x*(-1.0))),(-1.0))*(1.0+x)),0.5)));
}
function log()
{
if (arguments.length > 1)
{
return Math.log(arguments[0]) / Math.log(arguments[1]);
}
else if (arguments.length ==1)
{
return Math.log(arguments[0]);
}
return Number.NaN;
}
function log10(x)
{
return Math.log(x) / Math.LN10;
}
/***************Types*****************/
function Point(x, y)
{
this.x = x;
this.y = y;
}
function Circle(x, y, r)
{
this.x = x;
this.y = y;
this.radius = r;
}
function Parabola(vx,vy,fx,fy)
{
this.type = "parabola";
this.vx = vx;
this.vy = vy;
this.fx = fx;
this.fy = fy;
}
function LinePair(A0,B0,C0,A1,B1,C1)
{
this.type = "line pair";
this.A0 = A0;
this.B0 = B0;
this.C0 = C0;
this.A1 = A1;
this.B1 = B1;
this.C1 = C1;
}
function Hyperbola(f0x,f0y,f1x,f1y,p0x,p0y)
{
this.type = "hyperbola";
this.f0x = f0x;
this.f0y = f0y;
this.f1x = f1x;
this.f1y = f1y;
this.p0x = p0x;
this.p0y = p0y;
}
function Ellipse(centerx,centery,p0x,p0y,minor)
{
this.type = "ellipse";
this.centerx = centerx;
this.centery = centery;
this.p0x = p0x;
this.p0y = p0y;
this.minor = minor;
}
function BoundingBox(xmin, ymin, xmax, ymax)
{
this.xmin = xmin;
this.ymin = ymin;
this.xmax = xmax;
this.ymax = ymax;
this.started = false;
this.iLinesStarted = false;
}
BoundingBox.prototype = {
constructor : BoundingBox,
extend : function(x, y)
{
if (isFinite(x) && isFinite(y))
{
if (!this.started)
{
this.xmax = x;
this.xmin = x;
this.ymax = y;
this.ymin = y;
this.started = true;
}
else
{
if (this.xmin > x) this.xmin = x;
if (this.ymin > y) this.ymin = y;
if (this.xmax < x) this.xmax = x;
if (this.ymax < y) this.ymax = y;
}
}
}
}
function Tran2DMatrix(m11, m12, m21, m22, dx, dy)
{
//dest and source must be of type BoundingBox
this.m11 = m11; this.m12 = m12;
this.m21 = m21; this.m22 = m22;
this.dx = dx;
this.dy = dy;
}
Tran2DMatrix.prototype = {
constructor : Tran2DMatrix,
setMatrix : function(source, dest)//Note this sets matrix to invert y direction
{ //when changing World to Screen and vice-versa
this.m11 = (dest.xmax - dest.xmin) / (source.xmax - source.xmin);
this.m12 = 0;
this.m21 = 0;
this.m22 = (dest.ymax - dest.ymin) / (source.ymin - source.ymax);
this.dx = -this.m11 * source.xmin + dest.xmin;
this.dy = -this.m22 * source.ymax + dest.ymin;
}
}
/***************Variables**************/
var commonGlobal = new Object();
var firstTimeIn = 1;
var smallnumber = 1e-6
/***************Functions**************/
function isTiny(x)
{
return Math.abs(x) < smallnumber ? true:false;
}
function safePow(a, b)
{
if(Math.abs(a) < 1E-8)
{
return 0;
}
else
{
return Math.pow(a, b);
}
}
function lerp(x0, x1, y0, y1, x)
{
if(x1 == x)
{
return y1;
}
else
{
return y0 + (x - x0) * (y1 - y0) / (x1 - x0);
}
}
function getArrowDim()
{
var dim = 10;
return new Point(dim*0.8, dim*3.2);
}
function getGCD(val1, val2)
{
var w, x, y;
x = val1;
y = val2;
while (y != 0)
{
w = x % y;
x = y;
y = w;
}
return x;
}
function setCvsOffset()
{
var currentElement = commonGlobal.canvas;
var totalOffsetX = 0;
var totalOffsetY = 0;
do{
totalOffsetX += currentElement.offsetLeft;
totalOffsetY += currentElement.offsetTop;
}
while(currentElement = currentElement.offsetParent)
commonGlobal.cvsMinX = totalOffsetX;
commonGlobal.cvsMinY = totalOffsetY;
}
function getBrowser()
{
//var nAgt = navigator.userAgent;
var browserName = navigator.appName;
//var fullVersion = ''+parseFloat(navigator.appVersion);
//var majorVersion = parseInt(navigator.appVersion,10);
//var verOffset;
//if ((verOffset=nAgt.indexOf("MSIE"))!=-1)
return browserName;
}
function rangeVal(slider, rng)
{
if(commonGlobal.browser != "Opera")
{
return eval(slider.value);
}
else
{
return rng.x + ((eval(slider.value) / (commonGlobal.canvas.width/2)) * (rng.y - rng.x));
}
}
function correctSlider(slider, range)
{
if(commonGlobal.browser == "Opera")
{
slider.value = (slider.value - slider.min)/(slider.max - slider.min) * (commonGlobal.canvas.width / 2);
slider.min = 0;
slider.max = commonGlobal.canvas.width / 2;
slider.step = 1;
}
else
{
slider.step = (slider.max - slider.min) * 2 / commonGlobal.canvas.width;
}
}
function parameterOnCircle(x,y,cx,cy)
{
var dx = x-cx;
var dy = y - cy;
var t = Math.atan2(dy,dx);
return t;
}
function parameterOnFunction(x,y)
{
return x;
}
function parameterOnLine(x,y,A,B,C)
{
return (B*x-A*y)/(A*A+B*B);
}
function parameterOnSegment(x,y,x0,y0,x1,y1)
{
var ux = x1-x0;
var uy = y1 - y0;
var vx = x-x0;
var vy = y-y0;
var len2 = ux*ux+uy*uy;
if (isTiny(len2)) return 0;
return (ux*vx+uy*vy) / len2;
}
function distanceToPointSquared(x,y,x0,y0)
{
var vx = x-x0;
var vy = y-y0;
return vx*vx+vy*vy;
}
function distanceToPoint(x,y,x0,y0)
{
var dd = distanceToPointSquared(x,y,x0,y0);
if (isTiny(dd)) return 0;
return Math.sqrt(dd);
}
function parameterOnCurveRecursive(x,y,f,g, start, end, NUM_SEGS,level )
{
var t = start;
var dt = (end-start)/ (NUM_SEGS);
var i;
var have_solution = false;
var best_t;
var best_distance;
for (i=0;i<NUM_SEGS+1;i++)
{
var xx = f(t);
var yy = g(t);
if (isFinite(xx) && isFinite(yy))
{
var d2 = distanceToPointSquared(x,y,xx,yy);
if ((!have_solution) || (d2 < best_distance))
{
have_solution = true;
best_t = t;
best_distance = d2
}
}
t = t+dt;
}
if (level>0)
{
level--;
var t0 = best_t-dt;
var t1 = best_t+dt;
if (t0<start) t0 = start;
if (t1>end) t1 = end;
best_t = parameterOnCurveRecursive(x,y,f,g, t0,t1, 10,level )
}
return best_t;
}
function parameterOnCurve(x,y,f,g, start, end)
{
return parameterOnCurveRecursive(x,y,f,g, start, end,100,2);
}
function transformCoord(mat, x, y)
{
return new Point(
mat.m11 * x + mat.m12 * y + mat.dx,
mat.m21 * x + mat.m22 * y + mat.dy
);
}
function iLineExtend(wrld, A, B, C)
{
if(wrld.iLinesStarted || (!wrld.started || ((wrld.xmax - wrld.xmin) == 0 || (wrld.ymax - wrld.ymin) == 0)))
{
wrld.iLinesStarted = true;
var x = (-A*C/(A*A + B*B));
var y = (-B*C/(A*A + B*B));
wrld.extend(x, y);
}
}
function setMargin(wrld, margin)
{
var dx = eval(margin*(wrld.xmax - wrld.xmin));
var dy = eval(margin*(wrld.ymax - wrld.ymin));
wrld.xmin -= eval(dx);
wrld.ymin -= eval(dy);
wrld.xmax = eval(wrld.xmax) + eval(dx);
wrld.ymax = eval(wrld.ymax) + eval(dy);
}
// Correct world bounding box if it has no width or height
function correctDegenerate(wrld)
{
if (wrld.xmax <= wrld.xmin)
{
wrld.xmin -= 0.5;
wrld.xmax = eval(wrld.xmax) + eval(0.5);
}
if (wrld.ymax <= wrld.ymin)
{
wrld.ymin -= 0.5;
wrld.ymax = eval(wrld.ymax) + eval(0.5);
}
}
function correctAspectRatio(wrld, scrn)
{
if(((scrn.xmax - scrn.xmin) != 0) && ((scrn.ymax - scrn.ymin) != 0))
{
var dx = wrld.xmax - wrld.xmin;
var dy = wrld.ymax - wrld.ymin;
var xratio = dx / (scrn.xmax - scrn.xmin);
var yratio = dy / (scrn.ymax - scrn.ymin);
if(xratio > yratio)
{
var ymid = (wrld.ymin + wrld.ymax) / 2;
dy = (xratio * (scrn.ymax - scrn.ymin)) / 2;
wrld.ymin = ymid - dy;
wrld.ymax = ymid + dy;
}
else
{
var xmid = (wrld.xmin + wrld.xmax) / 2;
dx = (yratio * (scrn.xmax - scrn.xmin)) / 2;
wrld.xmin = xmid - dx;
wrld.xmax = xmid + dx;
}
}
}
function setMatrices(wrld, scrn, TranMat, InvTranMat)
{
TranMat.setMatrix(wrld, scrn);
InvTranMat.setMatrix(scrn, wrld);
}
function resetBounds(wrld, scrn, TranMat, InvTranMat)
{
wrld.started = false;
if ((!FIXED_BOUNDS) || firstTimeIn)
{
setMinBounds(wrld);
correctDegenerate(wrld);
if (!FIXED_BOUNDS)
{
setMargin(wrld, .075);
}
firstTimeIn = 0;
}
if (FIXED_ASPECT_RATIO)
{
correctAspectRatio(wrld, scrn);
}
setMatrices(wrld, scrn, TranMat, InvTranMat);
}
// dx dy are proportions of world extent
function panWorld(dx,dy)
{
var wrld = commonGlobal.world;
var w = wrld.xmax - wrld.xmin;
var h = wrld.ymax - wrld.ymin;
var u = w*dx;
var v = h*dy;
wrld.xmax += u;
wrld.xmin += u;
wrld.ymax += v;
wrld.ymin += v;
}
function zoomCoordinate(x,x0,k)
{
return x*k+x0*(1-k);
}
// dx dy are proportions of world extent
function zoomWorld(x0,y0,scale)
{
var wrld = commonGlobal.world;
wrld.xmax = zoomCoordinate(wrld.xmax,x0,scale);
wrld.xmin = zoomCoordinate(wrld.xmin,x0,scale);
wrld.ymax = zoomCoordinate(wrld.ymax,y0,scale);
wrld.ymin = zoomCoordinate(wrld.ymin,y0,scale);
}
// Functions for working with auxiliary canvases, used for drawing traces
// Return an auxiliary context to draw on with the same dimensions as the given
// context
function submitCreateAux(ctx, alpha)
{
var auxCanvas = document.createElement("canvas");
if (auxCanvas.getContext)
{
auxCanvas.setAttribute("width", ctx.canvas.width);
auxCanvas.setAttribute("height", ctx.canvas.height);
return auxCanvas.getContext("2d");
}
else
{
// XXX: ExplorerCanvas does not support auxiliary canvases, so just set
// the globalAlpha here and return the same context we were given. The
// results won't look exactly like they should, but it will show
// something.
ctx.globalAlpha = alpha;
return ctx;
}
}
// Draw image data from a previously-created auxiliary canvas
function submitDrawAux(ctx, aux, alpha)
{
if (ctx != aux)
{
// XXX: ExplorerCanvas does not support drawImage from other canvases.
ctx.globalAlpha = alpha;
ctx.drawImage(aux.canvas, 0, 0);
}
ctx.globalAlpha = 1;
}
// Functions for specifying drawing paths
function submitBeginPath(ctx)
{
ctx.beginPath();
}
function submitMoveTo(mat, ctx, point)
{
var tpoint = transformCoord(mat, point.x, point.y);
ctx.moveTo(tpoint.x, tpoint.y);
}
function submitLineTo(mat, ctx, point)
{
var tpoint = transformCoord(mat, point.x, point.y);
ctx.lineTo(tpoint.x, tpoint.y);
}
function submitPolyLine(mat, ctx, points)
{
for (var i = 0; i < points.length; ++i)
{
if (isFinite(points[i].x) && isFinite(points[i].y))
{
var point = transformCoord(mat, points[i].x, points[i].y);
ctx.lineTo(point.x, point.y);
}
}
}
function submitPolyLineReverse(mat, ctx, points)
{
for (var i = 0; i < points.length; ++i)
{
var point = points[points.length-1-i];
if (isFinite(point.x) && isFinite(point.y))
{
var tpoint = transformCoord(mat, point.x, point.y);
ctx.lineTo(tpoint.x, tpoint.y);
}
}
}
// Functions for drawing paths specified using the functions above
// TODO: Allow specifying a fill pattern
function submitFill(ctx, red, green, blue, alpha)
{
ctx.fillStyle = "rgba(" + red + ", " + green + ", " + blue + ", " + alpha + ")";
ctx.fill();
ctx.fillStyle = "#000000";
}
// TODO: Allow specifying a line pattern
function submitStroke(ctx, color, thickness)
{
ctx.strokeStyle = color;
ctx.lineWidth = thickness;
ctx.stroke();
ctx.strokeStyle = "#000000";
ctx.lineWidth = 1;
}
// Functions for drawing normal geometry objects
function drawAxis(wrld, mat, invMat, ctx, A, B, C, clrStr, thickness, type, units, labels, clrTxt)
{
drawInfiniteLine(wrld, mat, ctx, A, B, C, clrStr, thickness);
var label = new Object;
label.symbol = "";
label.divisor = 1;
label.magnitude = 1;
var dist = getGridSpacing(wrld, units, label);
var ticHalf = 5;
if(type == 0) //X-axis
{
if((wrld.ymin < 0) && (wrld.ymax > 0))
{
var posLo = Math.ceil(wrld.xmin / dist);
var posHi = Math.ceil(wrld.xmax / dist);
for (var i = posLo; i < posHi; ++i)
{
var pos = i * dist;
drawAxisTic(mat, ctx, type, pos, clrStr, thickness, ticHalf);
if(labels)
{
drawTicLabel(mat, ctx, type, pos, dist, units, label, clrTxt, ticHalf);
}
}
}
}
else
{
if((wrld.xmin < 0) && (wrld.xmax > 0))
{
var posLo = Math.ceil(wrld.ymin / dist);
var posHi = Math.ceil(wrld.ymax / dist);
for (var i = posLo; i < posHi; ++i)
{
var pos = i * dist;
drawAxisTic(mat, ctx, type, pos, clrStr, thickness, ticHalf);
if(labels)
{
drawTicLabel(mat, ctx, type, pos, dist, units, label, clrTxt, ticHalf);
}
}
}
}
}
function getGridSpacing(wrld, units, label)
{
var gspacing = 0;
var width = wrld.xmax - wrld.xmin;
var height = wrld.ymax - wrld.ymin;
var size = (width > height) ? width : height;
var degToRad = (2.0*Math.PI)/360.0;
// see what the ideal spacing would be if we wanted AXIS_IDEAL_LABEL_COUNT on the screen
var idealspacing = (size / commonGlobal.axisIdealLabelCount);
// idealspacing needs to be in the range of 1 to 10 in order for spacing to work
// save the magnitude and apply it to gspacing at the end
var magnitude = 1.0;
if(units == 0) // decimal spacing
{
var power = Math.floor(Math.log(Math.abs(idealspacing)) / Math.log(10));
magnitude = Math.pow(10.0, power);
label.magnitude = magnitude;
idealspacing /= magnitude;
// tics will be some magnitude of 10, 5, 2 or 1
// see which division is closest to the ideal spacing
var tics10 = Math.abs(idealspacing - (10.0));
var tics5 = Math.abs(idealspacing - (5.0));
var tics2 = Math.abs(idealspacing - (2.0));
var tics1 = Math.abs(idealspacing - (1.0));
if (tics10 < tics5 && tics10 < tics2 && tics10 < tics1)
{
gspacing = 10.0;
}
else if (tics5 < tics2 && tics5 < tics1)
{
gspacing = 5.0;
}
else if (tics2 < tics1)
{
gspacing = 2.0;
}
else
{
gspacing = 1.0;
}
}
else if(units == 1) // pi and degree spacing for degrees
{
label.symbol = "\u00B0";
if(idealspacing<=(5*degToRad))
{
gspacing=5*degToRad;
}
else if(idealspacing<=(15*degToRad))
{
gspacing=15*degToRad;
}
else if(idealspacing<=(45*degToRad))
{
gspacing=45*degToRad;
}
else if(idealspacing<=(90*degToRad))
{
gspacing=90*degToRad;
}
else if(idealspacing<(360*degToRad))
{
gspacing=180*degToRad;
}
else
{
var n=idealspacing/(360*degToRad);
gspacing=n*(360*degToRad);
}
}
else if(units == 2) // pi spacing for radians
{
label.symbol = "\u03c0";
if(idealspacing <= (Math.PI/32.0))
{
gspacing=Math.PI/32.0;