ENH: Add random seed parameter to command-line tools

[tturocy]

After commit 6c239f1 closing issue #295, we now have a clean way in C++ of passing random-number generation engines into the new functions that handle creating mixed profiles which are properly distributed uniformly.

Although the best way to generate starting points for the algorithms that make use of them - namely gambit-liap, gambit-simpdiv, gambit-ipa, and gambit-gnm at present - would be to generate them oneself, nevertheless it is quite a convenience for users to have the command-line tools generate these for them, and indeed Gambit offers that feature.

In order to control this better, it would be useful to allow users to control via command-line arguments this process.

Therefore, to the above tools, we should add:

(1) A command-line option which allows users to specify a seed;
(2) If a seed is not specified, then use std::random_device to seed the RNG.

[PushkarP-404]

Hi! I would like to work on this issue

This is my initial plan on how to approach this:

1. Add a --seed flag to the argument parsing logic for gambit-liap, gambit-simpdiv, gambit-ipa, and gambit-gnm.
2. Instantiate a std::mt19937 random engine in the setup phase of each tool before the algorithms are invoked.
3. Conditionally seed the engine: use the parsed integer from --seed if provided by the user, otherwise fall back to std::random_device.
4. Pass this engine by reference into the new Game profile generation functions to properly initialize the starting points.

If the plan looks good, could this issue please be assigned to me ?

[tturocy]

Thank you for your interest. However, we are doing a complete update of the instrumentation of the command-line tools for our upcoming 17.0 release and so this is already in train and not suitable for someone new to the project.