Какой-то базовый расчёт, просто вероятности без ничего

models/ComputationResult.php

@@ -0,0 +1,7 @@
+<?php
+namespace app\models;
+
+class ComputationResult
+{
+	public $probabilities = [];
+}

models/DeckForm.php

@@ -0,0 +1,156 @@
+<?php
+
+namespace app\models;
+
+use Yii;
+use yii\base\Model;
+
+class DeckForm extends Model
+{
+	const COMPUTE_TRIES = 10000;
+	const COMPUTE_ROUNDS = 10;
+
+	const CARD_ANY = 0;
+	const CARD_WEAPON_ITEM = 1;
+	const CARD_WEAPON_SPELL = 2;
+	const CARD_PREPARED = 3;
+	const CARD_BACKPACK_0 = 4;
+	const CARD_BACKPACK_2 = 5;
+	const CARD_INITIATE = 6;
+
+	public $size = 30;
+	public $weapons_items = 0;
+	public $weapons_spells = 0;
+	public $card_prepared_to_worst = 0;
+	public $card_backpack_0 = 0;
+	public $card_backpack_2 = 0;
+	public $card_initiate = 0;
+
+	/**
+	 * @return array the validation rules.
+	 */
+	public function rules()
+	{
+		return [
+			[['size', 'weapons_items', 'weapons_spells', 'card_prepared_to_worst', 'card_backpack_0', 'card_backpack_2', 'card_initiate'], 'required'],
+			[['size', 'weapons_items', 'weapons_spells', 'card_prepared_to_worst', 'card_backpack_0', 'card_backpack_2', 'card_initiate'], 'integer'],
+		];
+	}
+
+	/**
+	 * @return array customized attribute labels
+	 */
+	public function attributeLabels()
+	{
+		return [
+			'size' => 'Размер колоды',
+			'weapons_items' => 'Оружие (вещь)',
+			'weapons_spells' => 'Оружие (заклинание)',
+			'card_prepared_to_worst' => 'Готовность к худшему',
+			'card_backpack_0' => 'Рюкзак (0)',
+			'card_backpack_2' => 'Рюкзак (2)',
+			'card_initiate' => 'Посвящённая',
+		];
+	}
+
+	private $result;
+
+	public function compute() : ComputationResult
+	{
+		$this->result = new ComputationResult();
+		$this->result->probabilities = [];
+		for ($i = 0; $i < self::COMPUTE_ROUNDS; $i++) $this->result->probabilities[] = 0;
+		for ($i = 0; $i < self::COMPUTE_TRIES; $i++)
+		{
+			$this->generateTry();
+		}
+		for ($i = 0; $i < self::COMPUTE_ROUNDS; $i++) $this->result->probabilities[$i] /= (self::COMPUTE_TRIES + 0.0);
+		return $this->result;
+	}
+
+	private $deck;
+	private $hand;
+
+	private function fillDeck()
+	{
+		$this->deck = [];
+		for ($i = 0; $i < $this->size; $i++) $this->deck[] = self::CARD_ANY;
+		$pos = 0;
+		for ($i = 0; $i < $this->weapons_items && $pos < count($this->deck); $i++)
+		{
+			$this->deck[$pos++] = self::CARD_WEAPON_ITEM;
+		}
+		for ($i = 0; $i < $this->weapons_spells && $pos < count($this->deck); $i++)
+		{
+			$this->deck[$pos++] = self::CARD_WEAPON_SPELL;
+		}
+		for ($i = 0; $i < $this->card_backpack_0 && $pos < count($this->deck); $i++)
+		{
+			$this->deck[$pos++] = self::CARD_BACKPACK_0;
+		}
+		for ($i = 0; $i < $this->card_backpack_2 && $pos < count($this->deck); $i++)
+		{
+			$this->deck[$pos++] = self::CARD_BACKPACK_2;
+		}
+		for ($i = 0; $i < $this->card_prepared_to_worst && $pos < count($this->deck); $i++)
+		{
+			$this->deck[$pos++] = self::CARD_PREPARED;
+		}
+		for ($i = 0; $i < $this->card_initiate && $pos < count($this->deck); $i++)
+		{
+			$this->deck[$pos++] = self::CARD_INITIATE;
+		}
+	}
+
+	private function shuffleDeck()
+	{
+		for ($i = 0; $i < count($this->deck); $i++)
+		{
+			$j = rand(0, $i);
+			$t = $this->deck[$j];
+			$this->deck[$j] = $this->deck[$i];
+			$this->deck[$i] = $t;
+		}
+	}
+
+	private function addProb($round)
+	{
+		for ($i = $round; $i < self::COMPUTE_ROUNDS; $i++) $this->result->probabilities[$i]++;
+	}
+
+	private function haveWeapon()
+	{
+		foreach ($this->hand as $card)
+		{
+			if ($card == self::CARD_WEAPON_ITEM) return true;
+			if ($card == self::CARD_WEAPON_SPELL) return true;
+		}
+		return false;
+	}
+
+	private function generateTry()
+	{
+		$this->fillDeck();
+		$this->shuffleDeck();
+		// mulligan
+		$this->hand = [];
+		$replace = [];
+		for ($i = 0; $i < 5; $i++)
+		{
+			$current = array_pop($this->deck);
+			if ($current != self::CARD_ANY)	$this->hand[] = $current;
+			else $replace[] = $current;
+		} 
+		while (count($this->hand) < 5) $this->hand[] = array_pop($this->deck);
+		foreach ($replace as $r) $this->deck[] = $r;
+		$this->shuffleDeck();
+		for ($round = 0; $round < self::COMPUTE_ROUNDS; $round++)
+		{
+			if ($this->haveWeapon())
+			{
+				$this->addProb($round);
+				return;
+			}
+		}
+	}
+}