Comments (6)
paulmasson
commented on June 16, 2024
@axkr guess this function needs work! Thanks for catching this.
There is currently no mouse-over information in either 2D or 3D, but that would be a nice feature to implement in the future. In the meantime, parametric has an option to set maxFaceSlope to remove obvious errors. A setting of 3 works here, of course leaving gaps in the surface.
I've added test data for this function, both on the complex plane and unit circle. The latter errors out immediately, so I'll need to fix this sooner rather than later...
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paulmasson
commented on June 16, 2024
@axkr the data on the unit circle no longer errors out, but there are still problems with the function as can be seen with this webpage:
https://paulmasson.github.io/math/test/unit-circle.html
It ultimately traces back to expIntegralEi through the upper incomplete gamma function. Still needs work...
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paulmasson
commented on June 16, 2024
@axkr fixed issues in the underlying expIntegralEi around the origin, so this should look much better. Included in release 1.4.8.
The mouse-over idea is now #26. Thanks for the input!
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axkr
commented on June 16, 2024
There is still an outlier:
<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE html PUBLIC
"-//W3C//DTD XHTML 1.1 plus MathML 2.0 plus SVG 1.1//EN"
"http://www.w3.org/2002/04/xhtml-math-svg/xhtml-math-svg.dtd">
<html xmlns="[http://www.w3.org/1999/xhtml]()" style="[width: 100%; height: 100%; margin: 0; padding: 0]()">
<head>
<meta charset="[utf-8]()">
<title>MathCell</title>
</head>
<body style="[width: 100%; height: 100%; margin: 0; padding: 0]()">
<script src="[https://cdn.jsdelivr.net/gh/paulmasson/[email protected]/build/math.js](view-source:https://cdn.jsdelivr.net/gh/paulmasson/[email protected]/build/math.js)"></script>
<script src="[https://cdn.jsdelivr.net/gh/paulmasson/[email protected]/build/mathcell.js](view-source:https://cdn.jsdelivr.net/gh/paulmasson/[email protected]/build/mathcell.js)"></script>
<script src="[https://cdn.jsdelivr.net/gh/mathjax/[email protected]/MathJax.js?config=TeX-AMS_HTML](view-source:https://cdn.jsdelivr.net/gh/mathjax/[email protected]/MathJax.js?config=TeX-AMS_HTML)"></script>
<div class="[mathcell]()" style="[display: flex; width: 100%; height: 100%; margin: 0; flex-direction: column; overflow: hidden]()">
<script>
var parent = document.currentScript.parentNode;
var id = generateId();
parent.id = id;
MathCell( id, [ ] );
parent.update = function( id ) {
function z1(z) { try { return expIntegralE(2,z);}catch(e){return complex(Number.NaN);} }
var p1 = parametric( (re,im) => [ re, im, z1(complex(re,im)) ], [-2.0, 2.0], [-2.0, 2.0], { complexFunction: 'abs', colormap: 'complexArgument' } );
var config = { type: 'threejs', aspectRatio: [1.0,1,1] };
var data = [p1];
evaluate( id, data, config );
}
parent.update( id );
</script>
</div>
</body>
</html>
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paulmasson
commented on June 16, 2024
@axkr this is not an outlier but an error along the entire negative imaginary axis. You can verify by extending the lower y-limit.
Top of my todo list for this repository is a test page for both the real and imaginary axes to check for branch errors and the like.
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paulmasson
commented on June 16, 2024
@axkr the test along complex axes is complete. You can see the error there in the function above:
https://paulmasson.github.io/math/test/complex-axes.html
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Related Issues (20)
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