Introduction:

More documentation is available on fc_example Python package dedicated web page.

Installation:

The fc_example Python package is only available as a .tar.gz file given on fc_example Python package dedicated web page.

pip install fc_example-<VER>.tar.gz -U

Testing :

There are demos functions in the fc_example.demos module. For example, run the following code under Python:

from fc_example import demos
demos.demo01()

The output of this code is:

#---------------------------------------------------------------------------
# Benchmarking functions:
#  fun[0],            Lag: fc_bench.demos.Lagrange
#  fun[1],         lagint: fc_bench.demos.lagint
# cmpErr[i], error between fun[0] and fun[i] outputs computed with function
#    lambda o1,o2: np.linalg.norm(o1-o2,np.inf)
# where
#    - 1st input parameter is the output of fun[0]
#    - 2nd input parameter is the output of fun[i]
#---------------------------------------------------------------------------
# Setting inputs of Lagrange polynomial functions: y=LAGRANGE(X,Y,x)
# where X is numpy.linspace(a,b,n+1), Y=fun(X) and x is random values on [a,b]
#   n is the order of the Lagrange polynomial
#   fun function is: lambda x: np.sin(x)
#   [a,b]=[-1,1]
#   X: (n+1,) numpy array
#   Y: (n+1,) numpy array
#   x: (m,)   numpy array
#   Error[i] computed with fun[i] output:
#     lambda y: np.linalg.norm(y-fun(x),np.inf)
#---------------------------------------------------------------------------
#date:2018/05/03 10:16:55
#nbruns:5
#numpy:      i4     i4        f4          f4           f4          f4           f4
#format:  {:>5}  {:>5}   {:8.3f}    {:10.3e}     {:11.3f}    {:10.3e}     {:11.3e}
#labels:      m      n    Lag(s)    Error[0]    lagint(s)    Error[1]    cmpErr[1]
            100      5     0.012   1.163e-05        0.014   1.163e-05    3.331e-16
            100      9     0.020   2.859e-10        0.023   2.859e-10    8.882e-16
            100     15     0.036   2.143e-14        0.038   2.143e-14    2.565e-14
            500      5     0.056   1.162e-05        0.071   1.162e-05    5.551e-16
            500      9     0.102   2.901e-10        0.118   2.901e-10    1.443e-15
            500     15     0.178   2.232e-14        0.188   2.232e-14    2.287e-14
           1000      5     0.111   1.163e-05        0.146   1.163e-05    5.551e-16
           1000      9     0.202   2.902e-10        0.235   2.902e-10    1.554e-15
           1000     15     0.361   2.576e-14        0.377   2.576e-14    2.620e-14