solnone / fibonacci

Fibonacci number

fibonacci

Fibonacci number

fibonacci(0) = 0,
fibonacci(1) = 1,
and fibonacci(n) = fibonacci(n-1) + fibonacci(n-2),  per n > 1

Build & Run Fibonacci 64, 128, 256 bits without other libraries

$ cc -Wall -Wextra -g -O3 -march=native -o src/fib src/fib.c src/fibonacci.c src/fibonacci_io.c
$ echo 180 | src/fib
$ src/fib -s 91 -e 93 -b 64
$ src/fib -s 181 -e 186 -b 128
$ src/fib -s 367 -e 370 -b 256

Required libraries

Ubuntu | Debian

$ sudo apt-get install git build-essential
$ sudo apt-get install pkg-config gnuplot
$ sudo apt-get install libgmp-dev libglib2.0-dev
$ sudo apt-get install aspell clang-format cppcheck
$ sudo apt-get install autotools-dev autoconf automake libtool

MacOS with Homebrew

$ xcode-select --install
$ /bin/bash -c "$(curl -fsSL https://raw.githubusercontent.com/Homebrew/install/master/install.sh)"
$ brew install pkg-config gnuplot
$ brew install gmp glib
$ brew install aspell clang-format cppcheck
$ brew install autoconf automake libtool

autoconf

$ autoreconf -ivf

Build & Run Fibonacci with GMP library

$ cc -Wall -Wextra -g -O3 -march=native -o src/fib_doubling_mixing src/fib_doubling_mixing.c src/fibonacci.c src/fibonacci_gmp.c src/fibonacci_io.c -lgmp
$ echo 2000 | src/fib_doubling_mixing

Configure and Make

$ CPPFLAGS="-Wall -Wextra -g -O3 -march=native" ./configure && make

Run

$ echo 1000 | src/fib_doubling_gmp
$ echo 1000 | src/fib_iterative_gmp
$ src/main 183 187

Tests

$ make check

Scripts

$ # python
$ echo 99 | tests/fibonacci.py
$ # perl
$ echo 99 | tests/fibonacci.pl
$ # javascript
$ echo 99 | tests/fibonacci.js
$ # julia
$ echo 99 | tests/fibonacci.jl

Java

$ javac tests/Fibonacci.java
$ echo 99 | java -cp tests Fibonacci

Using AddressSanitizer

$ CC=clang CXX=clang++ CFLAGS="-Wall -Wextra -fsanitize=address -O1 -fno-omit-frame-pointer -g" CXXFLAGS=$CFLAGS ./configure

Clang-Format

$ clang-format -style=file -i src/*.[ch] src/*.cpp

Cppcheck

$ cppcheck --enable=all --inline-suppr --inconclusive --suppress=missingIncludeSystem --verbose src/*.[ch] src/*.cpp

Valgrind

$ valgrind --tool=memcheck --leak-check=full --error-exitcode=1 -s src/main 99

Install Git Hooks

$ scripts/install-git-hooks

Plot

$ make plot

References

2020 年春季 Linux 核心設計課程作業 —— fibdrv - HackMD

Efficient implementations of Fibonacci function with interesting results - Domains / Numerics - JuliaLang

Fast Fibonacci algorithms - Project Nayuki

The Fastest Way to Compute the Nth Fibonacci Number: The Doubling Method - Linus's Blog

AddressSanitizer

int128.h - chenshuo/recipes - GitHub

c - how to print __uint128_t number using gcc? - Stack Overflow

Libraries

The GNU Multiple Precision Arithmetic Library (gmp)

GLib