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Practical C++ Programming, 2nd Edition
book

Practical C++ Programming, 2nd Edition

by Steve Oualline
December 2002
Beginner to intermediate content levelBeginner to intermediate
576 pages
14h 6m
English
O'Reilly Media, Inc.
Content preview from Practical C++ Programming, 2nd Edition

Appendix D. Computing Sine Using a Power Series

This program is designed to compute the sine function using a power series. A very limited floating-point format is used to demonstrate some of the problems that can occur when using floating point.

The program computes each term in the power series and displays the result. It continues computing terms until the last term is so small that it doesn’t contribute to the final result. For comparison purposes, the result of the library function sin is displayed as well as the computed sine.

The program is invoked by:

sine value

where value is an angle in radians. For example, to compute sin(0) we use the command:

% sine 0
x**1     0.000E+00
1!       1.000E+00
x**1/1! 0.000E+00
1 term computed
sin(0.000E+00)=
  0.000E+00
Actual sin(0)=0

And to compute sin(π) we use the command:

% sine 3.141 x**1 3.141E+00 1! 1.000E+00 x**1/1! 3.141E+00 total 3.141E+00 x**3 3.099E+01 3! 6.000E+00 x**3/3! 5.165E+00 total -2.024E+00 x**5 3.057E+02 5! 1.200E+02 x**5/5! 2.548E+00 total 5.239E-01 x**7 3.016E+03 7! 5.040E+03 x**7/7! 5.985E-01 total -7.457E-02 x**9 2.976E+04 9! 3.629E+05 x**9/9! 8.201E-02 total 7.438E-03 x**11 2.936E+05 11! 3.992E+07 x**11/11! 7.355E-03 total 8.300E-05 x**13 2.897E+06 13! 6.227E+09 x**13/13! 4.652E-04 total 5.482E-04 x**15 2.858E+07 15! 1.308E+12 x**15/15! 2.185E-05 total 5.263E-04 x**17 2.819E+08 17! 3.557E+14 x**17/17! 7.927E-07 total 5.271E-04 x**19 2.782E+09 19! 1.217E+17 x**19/19! 2.287E-08 total 5.271E-04 x**21 2.744E+10 21! 5.109E+19 x**21/21! ...
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Publisher Resources

ISBN: 0596004192Supplemental ContentErrata Page