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