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Fortran - Exercise 3

Third homework for Fortran university course focusing on Integration and coarrays in Fortran.

Project Structure

├── Rakefile
├── README.md
├── res
├── src
│   ├── interfaces.F90
│   └── main.f90
└── tester.sh

QuickSetup

$ git clone https://github.com/Vetchu/fortran-third_exercise
$ cd fortran-third_exercise
$ rake #to prepare binaries
$ bash tester.sh #to do test

Results

Results given here are of integration in interval [0.10] with 100 equal subintervals.

Rectangular Integration

x^2

333.32500496692955

e^x

22016.291521461022

sin(x)

1.8398380598531630

Trapezoidal Integration###

x^2

 333.35000496730208

e^x

 22043.817619749912

sin(x)

1.8375387413629165

Analytical Integration###

x^2

 1000/3

e^x

 22024

sin(x)

 1.839

Notes

To fully utilize coarrays power please use

$ cafrun -n imgNum ./main Mode ibeg iend subintervals function

Conclusion

Given such starting conditions, we see clear difference between two Integration styles, yet none proves to be better in all cases, yet overall Rectangular one appears to be the winner here (despite the theory).

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Contributors

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