/// <summary>
/// Calculates minimum number of picks to match x numbers.
/// Also works out average/chances of other combinations.
/// </summary>
/// <param name="pool"></param>
/// <param name="pickRules"></param>
/// <param name="matches"></param>
/// <returns></returns>
public static double RequiredPicksToWin(Pool pool, PickRules pickRules, int matches)
{
int n = pool.Numbers.Count();
int k = pickRules.Quantity;
int b = matches;
// (k/b)! * ((n-k)/(k-b))
// ¬¬¬¬¬¬¬¬
// (n - k)!
var numerator = SpecialFunctions.Factorial(n);
var denominator = SpecialFunctions.Factorial(n - k);
result = numerator / denominator;
throw new NotImplementedException();
}
/// <summary>
/// Create a pool of numbers; start and end are inclusive.
/// e.g. 1-10 would have start = 1, end = 10
/// </summary>
/// <param name="start"></param>
/// <param name="end"></param>
/// <returns></returns>
public static Pool CreatePool(int start, int end)
{
// Validate inputs
if(start < 1) throw new ArgumentException("Canno CreatePool with start less than 1.");
if(end < 1 ) throw new ArgumentException("Canno CreatePool with end less than 1.");
if(start > end) throw new ArgumentException("Canno CreatePool with start greater than end.");
List<int> numbers = new List<int>();
for(int i=start; i<=end; i++)
{
numbers.Add(i);
}
var pool = new Pool();
pool.Numbers = numbers;
return pool;
}
/// <summary>
/// Create all the possible selections for the pool and pick rules.
/// </summary>
/// <param name="pool"></param>
/// <param name="pickRules"></param>
/// <returns></returns>
public static List<Selection> CreateAllSelections(Pool pool, PickRules pickRules)
{
// Validat the input
if (pool == null) throw new ArgumentNullException("pool");
if (pickRules == null) throw new ArgumentNullException("pickRules");
// Get all possible combinations based on the pickRules
var allSelections = new List<Selection>();
if (!pickRules.DuplicatesAllowed && !pickRules.Ordered)
{
allSelections = NoDuplicatesUnorderedSelections(pool, pickRules.Quantity);
}
//var completed = false;
//while (!completed)
//{
// var selection = new Selection();
// completed = true;
//}
return allSelections;
}
private static List<Selection> NoDuplicatesUnorderedSelections(Pool pool, int quantity)
{
var allSelections = new List<Selection>();
// THIS MIGHT NOT BE A GOOD IDEA..... WOULD TAKE A LARGE AMOUNT OF MEMORY
// PERHAPS WRITE TO DATABASE THEN READ BACK IN CHUNKS
// Calculate how many combinations there are
// Create array of that size
// Fill the array
// Convert to list and return
return allSelections;
}
/// <summary>
/// Create a selection from the pool using the pick rules.
/// </summary>
/// <param name="pool"></param>
/// <param name="pickRules"></param>
/// <returns></returns>
public static Selection CreateSelection(Pool pool, PickRules pickRules)
{
// Validat the input
if (pool == null) throw new ArgumentNullException("pool");
if (pickRules == null) throw new ArgumentNullException("pickRules");
var selection = new Selection();
return selection;
}
/// <summary>
/// The chances of matching x balls for the given selections
/// </summary>
/// <param name="pool"></param>
/// <param name="pickRules"></param>
/// <param name="selections"></param>
/// <returns></returns>
public static double[] ChancesOfMatching(Pool pool, PickRules pickRules, IEnumerable<Selection> selections )
{
throw new NotImplementedException();
}