aboutsummaryrefslogtreecommitdiff
path: root/README.rst
diff options
context:
space:
mode:
Diffstat (limited to 'README.rst')
-rw-r--r--README.rst43
1 files changed, 41 insertions, 2 deletions
diff --git a/README.rst b/README.rst
index 12eba6d..838add1 100644
--- a/README.rst
+++ b/README.rst
@@ -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
+```