Description
Calculate 3
You should use math.sqrt(3.0) for the value of 3.
Calculate using the two methods we discussed in class,
naive summation and compensated summation. Perform the
summations f
N
N
i
N
S
S
=
= ∑
567 8 9 or N = 10 ,10 ,10 , 10 , and 10 .
2
The City College of New York
CSc 30100 – Scientific Programming
Fall 2019 – Erik K. Grimmelmann, Ph.D.
Calculate the time of each summation using code such as
start_time = time.time()
end_time = time.time()
elapsed time = end_time start_time −
3
The City College of New York
CSc 30100 – Scientific Programming
Fall 2019 – Erik K. Grimmelmann, Ph.D.
Calculate the “exact” value of the sum using the expression
*math.sqrt(3.0)
For each of the that you calculate, determine the absolute
and relative errors of the results. Present your resul
N
N
S N
S
=
ts (including
the timing of your calculations) in a table.
Discuss your results. Are these errors consistent with the
expressions for errors that we discussed in class and that are
in the posted classroom presentations? How do the speeds of the
two methods compare?
4
The City College of New York
CSc 30100 – Scientific Programming
Fall 2019 – Erik K. Grimmelmann, Ph.D.
5
Include all of your analysis and discussion in your .ipynb file
and submit the file thorugh Blackboard. The name of the file
you submit should be
lastname_firstname_AS03.ipynb.
Do not clear your results after your last run so that I will be
able to see your results without rerunning your file.
If you collaborate with anyone on this assignment, be sure to
follow the collaboration guidelines in the syllabus.