sicmutils.numerical.quadrature.common — sicmutils 0.21.1

Implements utilities shared by all integrators, for example:

• code to wrap a sequence of progressively better estimates in a common integrator interface
• data structures implementing various integration intervals.

*roundoff-cutoff* clj/s

close-l clj/s

(close-l [_ r])

close-r clj/s

(close-r [l _])

closed clj/s

closed-open clj/s

closed? clj/s

(closed? x)

Returns true if the argument represents an explicit closed interval, false otherwise.

defintegrator clj/s macro

(defintegrator sym & body)

Helper macro for defining integrators.

flip clj/s

(flip [l r])

infinities clj/s

interval clj/s

(interval opts)

Extracts the interval (or open as a default) from the supplied integration options dict.

make-integrator-fn clj/s

(make-integrator-fn area-fn seq-fn)

Generates an integrator function from two functions with the following signatures and descriptions:

• (area-fn f a b) estimates the integral of f over the interval (a, b) with no subdivision, nothing clever at all.

• (seq-fn f a b opts) returns a sequence of successively refined estimates of the integral of f over (a, b). opts can contain kv pairs that configure the behavior of the sequence function (a sequence of the number of integration slices to use, for example.)

The returned function has the signature:

(f a b opts)

All opts are passed on to seq-fn, /and/ to us/seq-limit internally, where the options configure the checks on sequence convergence.

open clj/s

open-closed clj/s

open-l clj/s

(open-l [_ r])

open-r clj/s

(open-r [l _])

open? clj/s

update-interval clj/s

(update-interval opts f)

Accepts:

• a dictionary of arbitrary options
• one of the 4 interval modification functions

and returns a dict of options with f applied to the contained interval (or open if no interval is set).

with-interval clj/s

(with-interval opts interval)

Sets the specified interval to a key inside the suppled opts map of arbitrary integration options.