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fibonacci documentation
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* Calculate the the value on Fibonacci's sequence given an
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* Calculate the the value on Fibonacci's sequence given an
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* integer as input.
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* integer as input.
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* \f[\text{fib}(n) = \text{fib}(n-1) + \text{fib}(n-2)\f]
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* \f[\text{fib}(n) = \text{fib}(n-1) + \text{fib}(n-2)\f]
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*
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* @see fibonacci_large.cpp
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*/
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*/
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#include <cassert>
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#include <cassert>
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#include <iostream>
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#include <iostream>
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int fibonacci(unsigned int n) {
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int fibonacci(unsigned int n) {
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/* If the input is 0 or 1 just return the same
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/* If the input is 0 or 1 just return the same
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This will set the first 2 values of the sequence */
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This will set the first 2 values of the sequence */
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if (n <= 1) return n;
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if (n <= 1)
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return n;
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/* Add the last 2 values of the sequence to get next */
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/* Add the last 2 values of the sequence to get next */
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return fibonacci(n - 1) + fibonacci(n - 2);
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return fibonacci(n - 1) + fibonacci(n - 2);
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/**
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/**
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* Computes N^th Fibonacci number given as
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* @file
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* @brief Computes N^th Fibonacci number given as
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* input argument. Uses custom build arbitrary integers library
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* input argument. Uses custom build arbitrary integers library
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* to perform additions and other operations.
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* to perform additions and other operations.
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*
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*
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* Took 0.608246 seconds to compute 50,000^th Fibonacci
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* Took 0.608246 seconds to compute 50,000^th Fibonacci
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* number that contains 10450 digits!
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* number that contains 10450 digits!
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**/
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*
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* @see fibonacci.cpp
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*/
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#include <cinttypes>
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#include <cinttypes>
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#include <ctime>
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#include <ctime>
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#include "./large_number.h"
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#include "./large_number.h"
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/** Compute fibonacci numbers using the relation
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* \f[f(n)=f(n-1)+f(n-2)\f]
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* and returns the result as a large_number type.
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*/
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large_number fib(uint64_t n) {
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large_number fib(uint64_t n) {
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large_number f0(1);
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large_number f0(1);
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large_number f1(1);
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large_number f1(1);
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