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@@ -1,9 +1,48 @@ Vquad ===== -Vquad is a work-in-progress towards a general-purpose, robust, efficient, and parallel library for numerical integration. +Vquad is a work-in-progress towards a general-purpose, robust, efficient, and +parallel library for numerical integration. History ------- -Vquad is based on algorithm 4 from the article "Increasing the Reliability of Adaptive Quadrature Using Explicit Interpolants", Pedro Gonnet, ACM TOMS 37, 26 (2010). +Vquad is based on algorithm 4 from the article "Increasing the Reliability of +Adaptive Quadrature Using Explicit Interpolants", Pedro Gonnet, ACM TOMS 37, +26 (2010). + +Usage example +------------- + +``` +import numpy +import vquad + +# Simple usage. +igral, err = vquad.vquad(numpy.cos, -1, 1, rtol=1e-10) + +# Object interface. +it = vquad.Vquad(numpy.cos, -1, 1) +igral, err = it.improve_until(rtol=1e-10) + +# Evaluate interpolant. +xs = numpy.linspace(-1, 1, 101) +ys = it(xs) +``` + +Benachmarks and tests +--------------------- + +Vquad includes extensive tests and benchmarks. The tests focus on verifying +correctness and can be run with +``` +python3 -m pytest -s +``` +The `-s` shows some statistics that are gathered during the testing. + +The benchmarks take longer to run and allow to quantitatively compare the +performance of the algorithm. The benchmark is run by executing the vquad +module. To get help, run: +``` +python3 -m vquad -h +``` |
