DmcsQuadrature

The Gauss-Hermite rule: ordered nodes, normalised weights, no negative information

3/3 passed in 454ms

Test	What it does	Result
test_info_positive	Over 297 cases spanning every accepted m, both node branches and $T$ from 1 to 1e-6, the exact information stays positive and below both ${\log }_{2}m$ and the Gaussian form.	✅ pass
test_nodes_ordered	The quadrature agrees with an independent trapezoidal integration to 5e-11 on both node branches.	✅ pass
test_weights_normalise	A dark channel returns ${\log }_{2}m(1-S^2/\pi )$ with $S$ the weight sum, so a zero to 1e-11 asserts $S=\sqrt{\pi }$; the 16- and 64-node rules one ulp either side of their switch agree to 1e-11, residual 4.2e-12 at $m=3$.	✅ pass