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- Title: complex
- Type: Notes
- School: CSU San Bernardino
- Course: CS 330
- Term: Fall
Coursehero >> California >> CSU San Bernardino >> CS 330
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Path: Texas >> SANKARALIN >> 029 Fall, 2009
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Complexity Laboratory: Implement: 1. Towers of Hanoi (recursive algorithm described in Ch. 2 Budd) theoretically this is O(2^N) 2. A sort algorithm of your choice (see cs202 labs for sample code) (should be O(N^2) or O(NlogN) ) For both algorithms: Determine experimentally how well the theory matches up with the actual runtime. Notes: 1. You will need to measure several different values of N to determine the function time = F(N) which you will then compare to the O function from theory. 2. You will need to measure the time for each N value multiple times and take an average of them, to eliminate possible random variation in timing. 3. You should use functions to measure CPU time from inside your program, rather than attempt to time your algorithm by measuring total clock time from the time you enter an instruction, since you are interested in the time of the algorithm, not how long the operating takes system to run a program. See http://www.gnu.org/software/libc/manual/html_node/Date-and-Time.html#Date-and-Time for a description of the function calls you will need. 4. If the runtime of your algorithm is too short to measure accurately for some N values, you may put it inside a loop that repeats the run multiple times, measure the total for multiple runs, then divide by the number of runs to get the time. Note that if you do this, any initialization must be inside the loop. Deliverables: Report, one page (or less) per algorithm, including: 1. Name of algorithm and theoretical O() function. 2. Comparison of theoretical O() and measured time = F(N) 3. Description of how how you measured time. Describe how much variation there was between different runs for same N. 4. Conclusions (does theoretical O() match measured F()? if it doesn't, speculate why not). Source code for your programs.
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micklerpj516685.pdfPath: Texas >> MICKLERPJ >> 516685 Fall, 2009
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