Created
January 7, 2018 20:10
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select X = X.n | |
, [Circle] = [Circle].n | |
, [DxCircle] = X.n / NullIf(2. * Abs(X.n), 0) | |
, [Rectangle] = [Rectangle].n | |
, [Dx Rectangle] = 1. / Sqrt(4 * X.n + 1) | |
, [Square] = [Square].n | |
, [Dx Square] = 1. / NullIf(2. * Sqrt(X.n), 0) | |
, [Triangle] = [Triangle].n | |
, [Dx Triangle] = 2. / Sqrt(8 * X.n + 1) | |
, [Square Triangle] = [Square Triangle].n | |
, [Dx Square Triangle] = (1 / NullIf(2 * Sqrt(X.n), 0) + 1) * 0.5 | |
, [√2] = ([Triangle].n - 1) / NullIf([Square].n - 1, 0) | |
from dbo.RangeInt(0, 1000000) X | |
cross apply (values((1 + Sqrt(X.n * X.n)) * 0.5)) [Circle] (n) | |
cross apply (values((1 + Sqrt(1 + 4 * X.n)) * 0.5)) [Rectangle] (n) | |
cross apply (values((1 + Sqrt(X.n)))) [Square] (n) | |
cross apply (values((1 + Sqrt(1 + 8 * X.n)) * 0.5)) [Triangle] (n) | |
cross apply (values((X.n + Sqrt(X.n)) * 0.5)) [Square Triangle] (n) | |
--where Ceiling([Square].n) = Floor([Square].n) | |
--and Ceiling([Triangle].n) = Floor([Triangle].n); | |
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