/// Calculates a time which should be allocated for the next move, based on `move_number`, `total_time`, `inc_time` (0 if not available)
/// and `moves_to_go` (0 if not available). Formula and chart used when `moves_to_go` is zeroed can be found in the `/misc/time.xlsx` Excel sheet,
/// but in general outline it tries to allocate more time during mid-game where usually there's a lot of pieces on the board and it's crucial
/// to find some advantage at this phase. Formula used when `moves_to_go` is greater than zero is simpler and allocates time evenly.
pub fn get_time_for_move(move_number: u16, total_time: u32, inc_time: u32, moves_to_go: u32) -> u32 {
    if moves_to_go == 0 {
        const A: f32 = 45.0;
        const B: f32 = -25.0;
        const C: f32 = 25.0;
        const D: f32 = -10.0;
        const E: f32 = 15.0;

        total_time / ((A + B * (C.min((move_number as f32) + D) / E).sin()) as u32) + inc_time
    } else {
        total_time / (moves_to_go + 2) + inc_time
    }
}