From 3f1369e4f9e48ff0dd19fe6f500364845d437b0c Mon Sep 17 00:00:00 2001 From: Brett Weiland Date: Thu, 11 Apr 2024 21:55:09 -0500 Subject: [PATCH] started reprot --- .~lock.project description.24.doc# | 1 + booth_multiplier.py | 22 +++- pheudo_code | 0 project description.24.doc | Bin 0 -> 30208 bytes report/report.aux | 2 + report/report.log | 170 +++++++++++++++++++++++++++++ report/report.pdf | Bin 0 -> 110007 bytes report/report.tex | 36 ++++++ 8 files changed, 226 insertions(+), 5 deletions(-) create mode 100644 .~lock.project description.24.doc# delete mode 100644 pheudo_code create mode 100644 project description.24.doc create mode 100644 report/report.aux create mode 100644 report/report.log create mode 100644 report/report.pdf create mode 100644 report/report.tex diff --git a/.~lock.project description.24.doc# b/.~lock.project description.24.doc# new file mode 100644 index 0000000..bed60cd --- /dev/null +++ b/.~lock.project description.24.doc# @@ -0,0 +1 @@ +,indigo,indigo,11.04.2024 20:05,file:///home/indigo/.config/libreoffice/4; \ No newline at end of file diff --git a/booth_multiplier.py b/booth_multiplier.py index afd6710..dc32263 100755 --- a/booth_multiplier.py +++ b/booth_multiplier.py @@ -91,8 +91,12 @@ def booth_mod(multiplier, multiplicand, length): return (result, operations) if __name__ == "__main__": - headers = ['multiplicand', 'multiplier', 'result (bin)', 'result (hex)'] - table = [] + result_headers = ['multiplicand', 'multiplier', 'result (bin)', 'result (hex)'] + result_table = [] + + opcount_headers = ['multiplicand', 'multiplier', 'length', 'booth', 'modified booth'] + opcount_table = [] + lengths = [] # for matplotlib plot ops_booth = [] ops_mod_booth = [] @@ -106,7 +110,7 @@ if __name__ == "__main__": multiplicand = int(operation.split(" ")[0], 2) multiplier = int(operation.split(" ")[1], 2) - + # get result and operation count of both algorithims result_booth = booth(multiplier, multiplicand, length) result_mod_booth = booth_mod(multiplier, multiplicand, length) @@ -115,11 +119,19 @@ if __name__ == "__main__": ops_mod_booth.append(result_mod_booth[1]) lengths.append(length) - table.append([bin(multiplicand), bin(multiplier), bin(result_booth[0]), hex(result_booth[0])]) + #gather data for report results table + result_table.append([bin(multiplicand), bin(multiplier), bin(result_booth[0]), hex(result_booth[0])]) + + #gather data for test function to check if simulator is working debug_results.append([multiplicand, multiplier, result_booth[0], result_mod_booth[0], length]) + #gather data for operation count table + opcount_table.append([bin(multiplicand), bin(multiplier), length, result_booth[1], result_mod_booth[1]]) + debug(debug_results) - print(tabulate(table, headers)) + print(tabulate(result_table, result_headers)) + print(tabulate(opcount_table, opcount_headers)) + # generate graph plt.plot(lengths, ops_booth, '^--m', label='booths algorithim') diff --git a/pheudo_code 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Each multiplier is simulated in Python, and performance is observed by counting the number of add and subtract operations for various inputs. Results are analyzed and discussed to highlight the tradeoffs between the two multipliers. +\end{abstract} +\section*{Introduction} +Multiplication is among the most time consuming mathematical operations for processors. In many applications, the time it takes to multiply dramatically influences the speed of the program. Applications of digital signal processing (such as audio modification and image processing) require constant multiply and accumulate operations for functions such as fast fourier transformations and convolutions. Other applications are heavily dependent on multiplying large matrices, such as machine learning, 3D graphics and data analysis. In such scenarios, the speed of multiplication is vital. Consequently, most modern processors implement hardware multiplication. However, not all multiplication circuits are equal; there is often a stark contrast between performance and hardware complexity. To further complicate things, multiplication circuits perform differently depending on what numbers are being multiplied. +\section*{Implementation} + +\section*{Results} +\section*{Analysis} +\section*{Conclusion} +\end{document}