emsr/quadrature

The double-exponential methods need error estimates.

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emsr commented

They are recursive methods IIRC so it should be relatively easy.

emsr commented

Ok, so prev_sum has twice the step size as curr_sum. Also, if we hit max_iter we didn't keep te old prev_sum. So break if this is the last iter. Move n and step computation before the break. Do curr_sum - 2*prev_sum.