From c2bf64673269d9b90152fbabb7c34778cbb0ca5b Mon Sep 17 00:00:00 2001 From: jrtechs Date: Thu, 4 Oct 2018 19:38:48 -0400 Subject: [PATCH] Worked on three different recursive ways to calculate fibonacci and graph its time complexity. --- fibonacci/FibPower.png | Bin 0 -> 38946 bytes fibonacci/FibPowerBigPicture.png | Bin 0 -> 31615 bytes fibonacci/Fibonacci.py | 49 ++++++++++++++++++++++++++++++ fibonacci/Iterative.png | Bin 0 -> 26913 bytes fibonacci/PlotTimeComplexity.py | 32 +++++++++++++++++++ fibonacci/RecursiveDefinition.png | Bin 0 -> 19811 bytes 6 files changed, 81 insertions(+) create mode 100644 fibonacci/FibPower.png create mode 100644 fibonacci/FibPowerBigPicture.png create mode 100644 fibonacci/Fibonacci.py create mode 100644 fibonacci/Iterative.png create mode 100644 fibonacci/PlotTimeComplexity.py create mode 100644 fibonacci/RecursiveDefinition.png diff --git a/fibonacci/FibPower.png b/fibonacci/FibPower.png new file mode 100644 index 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fibHelper(n-1, b, a+b) + + +def fibIterative(n): + return fibHelper(n, 0, 1) + + +def multiply(a,b): + product = [0,0,0] + product[0] = a[0]*b[0] + a[1]*b[1] + product[1] = a[0]*b[1] + a[1]*b[2] + product[2] = a[1]*b[1] + a[2]*b[2] + return product + + +def power(l, k): + if k == 1: + return l + temp = power(l, k//2) + if k%2 == 0: + return multiply(temp, temp) + else: + return multiply(l, multiply(temp, temp)) + + +def fibPower(n): + l = [1,1,0] + return power(l, n)[1] + + +""" +Makes sure that other programs don't execute the main +""" +if __name__ == '__main__': + try: + print(fib(30)) + except KeyboardInterrupt: + exit() diff --git a/fibonacci/Iterative.png b/fibonacci/Iterative.png new file mode 100644 index 0000000000000000000000000000000000000000..d0a4ef090f58cfe5ef2e518e6f6ded3757b38239 GIT binary patch literal 26913 zcmeFZWmHw++c&ro1SLHxDJ3W6&Zf|9R(~`7&!}z4OeMVJ+7Y_StpsJAQTTP!%Ov5<(h61VKpT?ntR2$O%6L!5KS+ z4}an78k&L+yvMiYG)}>f*C`7u{C?Wuj_zXwAu~n);bcgBcmRJCa+20@Qn$Bsay5N) 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