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Update math/fibonacci_sum.cpp

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Co-authored-by: Krishna Vedala <7001608+kvedala@users.noreply.github.com>
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Sarthak Sahu
2020-10-22 02:02:26 +05:30
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math/fibonacci_sum.cpp
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/**
* @file
* @brief An algorithm to calculate the sum of Fibonacci Sequence: \f$\mathrm{F}(n) + \mathrm{F}(n+1) + .. + \mathrm{F}(m)\f$
* @brief An algorithm to calculate the sum of [Fibonacci Sequence](https://en.wikipedia.org/wiki/Fibonacci_number): \f$\mathrm{F}(n) + \mathrm{F}(n+1) + .. + \mathrm{F}(m)\f$
* @details An algorithm to calculate the sum of Fibonacci Sequence: \f$\mathrm{F}(n) + \mathrm{F}(n+1) + .. + \mathrm{F}(m)\f$ where \f$\mathrm{F}(i)\f$
* denotes the i-th Fibonacci Number . Note that F(0) = 0 and F(1) = 1.
* The value of the sum is calculated using matrix exponentiation.