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Add support for graphing implicit equations #11

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quantum9Innovation opened this issue Jan 21, 2023 · 0 comments
Open

Add support for graphing implicit equations #11

quantum9Innovation opened this issue Jan 21, 2023 · 0 comments
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feat New feature or request math Related to internal mathematics src Source code

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@quantum9Innovation
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Add support for graphing implicit functions, which can be done by using Newton's method or another root-finding algorithm to graph zero sets of functions in $x$ and $y$.

Ex:
$$f(x,y)=x^2+y^2-1=0$$

Graphs the unit circle

Concerns

Graphing areas as well as segments will present certain challenges, as Hulet currently lacks support for graphing areas from equations. Additionally, if a root-finding algorithm like Newton's method is employed, it will have to find all visible roots, not just the closest to a given input, which will mean running the algorithm more than once for each point, which can incur additional computational cost.

@quantum9Innovation quantum9Innovation added feat New feature or request math Related to internal mathematics src Source code labels Jan 21, 2023
@quantum9Innovation quantum9Innovation added this to the General Release milestone Jan 21, 2023
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Labels
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