Correct point utility again
The balance between the light cone basis vectors was wrong, throwing the point's coordinates off by a factor of two.
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@ -39,7 +39,7 @@ rand_on_shell(shells::Array{<:Number}) = rand_on_shell(Random.default_rng(), she
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# === elements ===
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point(pos) = [pos; 1; 0.25 * dot(pos, pos)]
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point(pos) = [pos; 0.5; 0.5 * dot(pos, pos)]
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plane(normal, offset) = [normal; 0; offset]
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@ -65,11 +65,11 @@ guess = hcat(
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1 -1 -1 1 0 0
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0 0 0 0 1.5 0.5
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1 1 1 1 -0.5 -1.5
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] + 0.2*Engine.rand_on_shell(fill(BigFloat(-1), 6)),
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Engine.point([-1, -1, -1] + 0.3*randn(3)),
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Engine.point([-1, 1, 1] + 0.3*randn(3)),
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Engine.point([ 1, -1, 1] + 0.3*randn(3)),
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Engine.point([ 1, 1, -1] + 0.3*randn(3)),
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] + 0.0*Engine.rand_on_shell(fill(BigFloat(-1), 6)),
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Engine.point([-0.5, -0.5, -0.5] + 0.3*randn(3)),
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Engine.point([-0.5, 0.5, 0.5] + 0.3*randn(3)),
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Engine.point([ 0.5, -0.5, 0.5] + 0.3*randn(3)),
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Engine.point([ 0.5, 0.5, -0.5] + 0.3*randn(3)),
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BigFloat[0, 0, 0, 0, 1]
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)
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frozen = vcat(
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