Engine prototype #13
@ -197,7 +197,8 @@ function realize(ctx::Construction{T}) where T
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push!(eqns, sum(elt.vec[2] for elt in Iterators.flatten((ctx.points, ctx.spheres))) - n_elts)
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end
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(Generic.Ideal(coordring, eqns), eqns)
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## [test] (Generic.Ideal(coordring, eqns), eqns)
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(nothing, eqns)
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end
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end
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@ -61,21 +61,18 @@ CoeffType = Rational{Int64}
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##freedom = Engine.dimension(ideal_tan_sph)
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##println("Three mutually tangent spheres: $freedom degrees of freedom")
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p = Engine.Point{CoeffType}()
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q = Engine.Point{CoeffType}()
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a = Engine.Sphere{CoeffType}()
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b = Engine.Sphere{CoeffType}()
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p_on_a = Engine.LiesOn{CoeffType}(p, a)
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p_on_b = Engine.LiesOn{CoeffType}(p, b)
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q_on_a = Engine.LiesOn{CoeffType}(q, a)
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q_on_b = Engine.LiesOn{CoeffType}(q, b)
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points = [Engine.Point{CoeffType}() for _ in 1:3]
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spheres = [Engine.Sphere{CoeffType}() for _ in 1:2]
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ctx_joined = Engine.Construction{CoeffType}(
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elements = Set([p, q, a, b]),
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relations= Set([p_on_a, p_on_b, q_on_a, q_on_b])
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elements = Set([points; spheres]),
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relations= Set([
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Engine.LiesOn{CoeffType}(pt, sph)
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for pt in points for sph in spheres
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])
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)
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ideal_joined, eqns_joined = Engine.realize(ctx_joined)
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freedom = Engine.dimension(ideal_joined)
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println("Two points on two spheres: $freedom degrees of freedom")
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println("$(length(points)) points on $(length(spheres)) spheres: $freedom degrees of freedom")
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# --- test rational cut ---
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