Simplify put_object
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@ -148,15 +148,10 @@ fn rel_to_abs(space: &impl Metric, base: &Location, rel: Vec2, steps: usize) ->
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}
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/// Converts a position and a rotation to a [Location]. Only the X direction is preserved from `rot` to ensure the resulting Location describes an orthonormal coordinate system.
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///
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/// Mathematically, returned `rot` is `M^-1 * orthonormalize(M * rot)` where `M^2` is the metric tensor.
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fn put_object(space: &impl Metric, pos: Vec2, rot: Mat2) -> Location {
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let x_dir = rot.x_axis;
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let metric_sqrt = Mat2::from(space.sqrt_at(pos));
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let metric_inv_sqrt = Mat2::from(space.sqrt_at(pos).inverse());
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let fx = (metric_sqrt * x_dir).normalize();
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let fy = vec2(-fx.y, fx.x); // TODO: respect orientation of `rot`
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let rot = metric_inv_sqrt * mat2(fx, fy);
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let rot = metric_inv_sqrt * (metric_sqrt * rot).orthonormalize();
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Location { pos, rot }
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}
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