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Pseudoangle Definition and Implementation #7

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apirogov opened this issue Jan 19, 2025 · 0 comments
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Pseudoangle Definition and Implementation #7

apirogov opened this issue Jan 19, 2025 · 0 comments

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@apirogov
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apirogov commented Jan 19, 2025

come up with alternative pseudoangle that works at least for field QQn, like here: https://stackoverflow.com/a/27253590

can we define a pseudo-angle like an atan2 function? i.e. linearize the unit angles into a scalar.

or just angle comparison - check quadrant, sort by quadrants, and in quadrants sort by is_ccw, and add jump /discontinuity at positive real line

Also read about spreads (rational geometry concept) and see how they can be used instead of angles

Note that wedge and dot product can be used as sin/cos substitute by definition (only that they are scaled by the magnitude)

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