| .. | ||
| c_version.c | ||
| README.md | ||
| README.pdf | ||
Compute Sine using Taylor Series
Overview
This project stresses the use of floating point instructions to create a program that computes the sine of an angle given to you in degrees on the command line.
Taylor Series
The sine of an angle given in radians can be found using the Taylor Series:
sin x = x - x^3/3! + x^5/5! - x^7/7! ...
Notice each term flips from addition to subtraction.
Notice each term is based on the odd integers starting at 1.
Command line
You are to accept two arguments on the command line. getopt is not
being used here to concentrate on the floating point math. Both
arguments are therefore required.
-
The angle in degrees whose sine you wish to calculate. Take this to be a double.
-
The number of terms to evaluate. The number of terms must lie between 1 and 10 inclusive.
C version
To assist your efforts, here is a version of this project written in C.
Errors to stderr
Error messages must be sent to stderr.
If you are using the convergence macros to allow your program to build
on both Apple Silicon Mac OS and Linux, note the special casing needed
to deal with stderr. If this is you, compile the C version on Mac OS
with the -S compiler option to see the generated assembly language and
search for stderr.
Sample executions
SINE % ./a.out 0 8
The sine of 0.00 degrees is 0.000000 in radians.
SINE % ./a.out 90 8
The sine of 90.00 degrees is 1.000000 in radians.
SINE % ./a.out 180 8
The sine of 180.00 degrees is -0.000001 in radians.
SINE % ./a.out 180 82
Number of terms is out of range.
SINE % ./a.out 180 -10
Number of terms is out of range.
SINE % echo $?
1
CSC3510
The following applies to Carthage College CSC3510 students.
Work rules
Work is to be done solo.
What to hand in
Just the .S file. Your name must be at the top of the file.