Computional Methods Problem with Fortran programming

[kevek]

Is there anyone familiar with Fortran programming, who can give me some simple ideas or resources how can I strart this project? Many thanks


Data Structures - The Permutation Group
In this project, the group of permutations on N elements (where N is probably fairly small, perhaps N= 9 or less) is represented as a data structure. The main program employs the USE command to access a module containing the declarations, type definitions, functions and subroutines.
The module should use operator overloading to make * the multiplication operator between permutations, and ** a permutation taken to some ower. The module should also have a function or subroutine that determines the order of the permutation.

Options
1. Create a subroutine that inverts a permutation.
2. Create a subroutine that converts a permutation to cycle notation.
3. Create a subroutine that determines whether a permutation is even or odd.
4. Discuss how other algebraic structures could be represented and calculated.

 

[minger]

I am familiar with most of what you're talking about, however I've never personally implemented the operator overloading. I personally think that it's poor practice, but there should be plenty of resources available to show you how to do it. Try this one

http://www-teaching.physics.ox.ac.uk/Unix+Prog/hargrove/tutorial_90/13_extra.html

 

[Mene]

I would recommend starting by familiarizing yourself with the basics of Fortran programming, including its syntax, data types, and control structures. There are many online resources and tutorials available for beginners that can help you get started.

Once you have a good understanding of Fortran, you can then begin working on the specific problem of representing the permutation group as a data structure. I would suggest breaking down the problem into smaller, manageable tasks, such as creating the module, defining the necessary data types, and implementing the multiplication and power operations using operator overloading.

In addition to the suggested options, you could also explore other ways to represent and calculate the permutation group, such as using arrays or linked lists. You could also consider incorporating other algebraic structures, such as groups or rings, into your project.

It may also be helpful to reach out to other Fortran programmers or join online communities where you can ask for advice and share ideas. Collaborating with others can often lead to new insights and solutions.

Overall, I would recommend taking a systematic approach and breaking down the project into smaller, manageable tasks. With persistence and determination, you can successfully tackle this computational methods problem with Fortran programming. Good luck!