enkimute/testGangaCga.html

## testGangaCga.html

<!DOCTYPE html>
<html lang="en">
  <head>
    <meta charset="utf-8">
    <title>title</title>
    <link rel="stylesheet" href="style.css">
    <SCRIPT SRC="../ganja.js"></SCRIPT>
  </head>
  <body>

  <p id="demo"></p>

    <SCRIPT>
// Create a Clifford Algebra with 4,1 metric for 3D CGA.
/// my comments have three bars.

/// In general, you had some parse errors - because ganja.js has to translate your code that's not always clear (most of the time it
/// is fine tho) in that case I just comment out blocks to find out where.
/// next, for debugging, I recommend adding a 'debugger' statement anywhere in the code, this will stop the execution
/// and show you the translated code where you can easily stop over,  inspect, change values etc ..

/// Lastly, don't get stuck on things - I'm more than happy to help and would love to see how your 4,1 visualizer works
/// with ganja.js :)

var output = Algebra(4,1,()=>{
  // Define some useful things
  var ninf = 1e4+1e5;
  var nbar = 1e4-1e5;
  var no = 0.5*nbar;
  var I5 = 1e12345;
  var E0 = ninf^(-no);
  // We need up and down mapping as well
  var up = (x)=>0.5*(x*x*ninf + 2*x - nbar);
  var homo = (x) =>{
    var y = 0e1-1*(x<<ninf),             /// two gotcha's here .. the dot could produce a pure scalar, after which reverse wont work.
    adj = (y.Reverse),                   /// so I forced it to a multivector with the 0e1+
    madj = adj*y;
    return x*(adj/madj);
  };
  var down = (x)=>(0e1+homo(0e1+x)^E0)*E0;
  // Define some functions for manipulating objects
  var plane2OriginDistance = (plane)=>((plane*I5)<<no)[0];
  var getPlaneNormal = (plane)=>(plane*I5 - plane2OriginDistance(plane)*ninf);
  var circleNormal = (c)=>{
    var Ic = (c^ninf).Normalized;                    /// had no 'var' - js strict mode needs it (and you want strict mode)
    return getPlaneNormal(Ic);
  };
  var circleToNormedInPlaneDual = (c)=>{
    var Ic = (c^ninf).Normalized,                    /// same .. had no 'var'
    inPlaneDual = c*Ic,
    mag = (inPlaneDual<<ninf)[0];
    inPlaneDual = inPlaneDual*(-1/mag);
    return inPlaneDual;
  };
  var inPlaneDualCircleToRadius = (inPlaneDual)=>Math.sqrt((inPlaneDual*inPlaneDual)[0]);
  var inPlaneDualCircleToCenter = (inPlaneDual)=>down(0e1+inPlaneDual*(1+0.5*inPlaneDual*ninf));

  // Define geometric primitive creation routines
  var euc_point = (x,y,z)=>x*1e1 + y*1e2 + z*1e3;
  var circle = (p1,p2,p3)=>(p1^p2^p3).Normalized;

  // Now lets actually attempt to do something
  var p_a = up(1e3 + 1e1);
  var p_b = up(1e3 - 1e1);
  var p_c = up(1e3 + 1e2);
  var myCircle = circle(p_a,p_b,p_c);
  var myCircleNormal = circleNormal(myCircle);
  var myCircleDual = circleToNormedInPlaneDual(myCircle);
  var myCircleRadius = inPlaneDualCircleToRadius(myCircleDual);
  var myCircleCenter = inPlaneDualCircleToCenter(myCircleDual);
  var return_data={
    normal : myCircleNormal.slice(1,4),   // you had [0] [1] [2] .. but you wanted [1][2][3] .. slice just is faster here.
    centre : myCircleCenter.slice(1,4),
    radius : myCircleRadius
  }
  console.log(return_data); /// press shift+ctrl+i  or shift+command+i for the developper console where this outputs.
  return return_data;
  });
document.getElementById("demo").innerHTML = '<PRE>'+JSON.stringify(output)+'</PRE>'
</SCRIPT>

  </body>
</html>

	<!DOCTYPE html>
	<html lang="en">
	<head>
	<meta charset="utf-8">
	<title>title</title>
	<link rel="stylesheet" href="style.css">
	<SCRIPT SRC="../ganja.js"></SCRIPT>
	</head>
	<body>

	<p id="demo"></p>

	<SCRIPT>
	// Create a Clifford Algebra with 4,1 metric for 3D CGA.
	/// my comments have three bars.

	/// In general, you had some parse errors - because ganja.js has to translate your code that's not always clear (most of the time it
	/// is fine tho) in that case I just comment out blocks to find out where.
	/// next, for debugging, I recommend adding a 'debugger' statement anywhere in the code, this will stop the execution
	/// and show you the translated code where you can easily stop over, inspect, change values etc ..

	/// Lastly, don't get stuck on things - I'm more than happy to help and would love to see how your 4,1 visualizer works
	/// with ganja.js :)

	var output = Algebra(4,1,()=>{
	// Define some useful things
	var ninf = 1e4+1e5;
	var nbar = 1e4-1e5;
	var no = 0.5*nbar;
	var I5 = 1e12345;
	var E0 = ninf^(-no);
	// We need up and down mapping as well
	var up = (x)=>0.5(xxninf + 2x - nbar);
	var homo = (x) =>{
	var y = 0e1-1*(x<<ninf), /// two gotcha's here .. the dot could produce a pure scalar, after which reverse wont work.
	adj = (y.Reverse), /// so I forced it to a multivector with the 0e1+
	madj = adj*y;
	return x*(adj/madj);
	};
	var down = (x)=>(0e1+homo(0e1+x)^E0)*E0;
	// Define some functions for manipulating objects
	var plane2OriginDistance = (plane)=>((plane*I5)<<no)[0];
	var getPlaneNormal = (plane)=>(planeI5 - plane2OriginDistance(plane)ninf);
	var circleNormal = (c)=>{
	var Ic = (c^ninf).Normalized; /// had no 'var' - js strict mode needs it (and you want strict mode)
	return getPlaneNormal(Ic);
	};
	var circleToNormedInPlaneDual = (c)=>{
	var Ic = (c^ninf).Normalized, /// same .. had no 'var'
	inPlaneDual = c*Ic,
	mag = (inPlaneDual<<ninf)[0];
	inPlaneDual = inPlaneDual*(-1/mag);
	return inPlaneDual;
	};
	var inPlaneDualCircleToRadius = (inPlaneDual)=>Math.sqrt((inPlaneDual*inPlaneDual)[0]);
	var inPlaneDualCircleToCenter = (inPlaneDual)=>down(0e1+inPlaneDual(1+0.5inPlaneDual*ninf));

	// Define geometric primitive creation routines
	var euc_point = (x,y,z)=>x1e1 + y1e2 + z*1e3;
	var circle = (p1,p2,p3)=>(p1^p2^p3).Normalized;

	// Now lets actually attempt to do something
	var p_a = up(1e3 + 1e1);
	var p_b = up(1e3 - 1e1);
	var p_c = up(1e3 + 1e2);
	var myCircle = circle(p_a,p_b,p_c);
	var myCircleNormal = circleNormal(myCircle);
	var myCircleDual = circleToNormedInPlaneDual(myCircle);
	var myCircleRadius = inPlaneDualCircleToRadius(myCircleDual);
	var myCircleCenter = inPlaneDualCircleToCenter(myCircleDual);
	var return_data={
	normal : myCircleNormal.slice(1,4), // you had [0] [1] [2] .. but you wanted [1][2][3] .. slice just is faster here.
	centre : myCircleCenter.slice(1,4),
	radius : myCircleRadius
	}
	console.log(return_data); /// press shift+ctrl+i or shift+command+i for the developper console where this outputs.
	return return_data;
	});
	document.getElementById("demo").innerHTML = '<PRE>'+JSON.stringify(output)+'</PRE>'
	</SCRIPT>

	</body>
	</html>