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Include line moment when constructing a plane from a line and point - #281

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xixihaha-ha:fix/plane-from-translated-line
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xixihaha-ha wants to merge 1 commit into
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xixihaha-ha:fix/plane-from-translated-line

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Plane3.LinePoint currently computes the normal as w cross p, omitting the line moment. This only gives the intended plane when the line passes through the origin. For example a line through [1,2,3] in direction [1,0,0] and a point [1,4,3] should define z=3; the current result does not contain the supplied point or line.

Subtract the moment v from w cross p, obtaining w cross (p-anchor). The constant term v dot p remains unchanged. Regression tests check the plane equation directly, independently of the separate Plane3.contains fix in #280, using translated and origin-passing lines and rescaled directions.

Validation: six new cases fail and three pass on unchanged code. With this fix the full tests directory reports 482 passed, 3 skipped, 63 subtests passed (Python 3.11, NumPy 2). No other pending geometry fixes are included.

AI assistance was used to investigate, implement and test this change.

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