How to Handle Large Numbers When Evaluating Poker Hands in Python?

Storing and Operating on Large Numbers in Python for Poker Hand Evaluation

To optimize poker hand evaluation in Python, multiplying card faces and suits as prime numbers can efficiently represent hands and enable rapid calculation of values using modulo operations. However, numbers representing seven-card hands can exceed the limits of 32-bit integers.

Python's Bignum Type

Python provides the "bignum" integer type, known as long in Python 2.5 and int in Python 3.0 , which allows for operations with arbitrarily large numbers. Operations performed on integers automatically switch to the bignum type if necessary, ensuring seamless handling of large values.

Example Implementation

Given the PokerCard class provided in the question, the following code demonstrates how to store and perform arithmetic on large hand values:

class PokerCard:
    # Prime representations of card faces and suits
    facePrimes = [11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 53, 59, 61]
    suitPrimes = [2, 3, 5, 7]

    def HashVal(self):
        return PokerCard.facePrimes[self.cardFace] * PokerCard.suitPrimes[self.cardSuit]

hand = [PokerCard("A", "c"), PokerCard("A", "d"), PokerCard("A", "h"), PokerCard("A", "s"), PokerCard("K", "d"), PokerCard("K", "h"), PokerCard("K", "s")]  # Create a 7-card hand

handValue = 1
for card in hand:
    handValue *= card.HashVal()  # Multiply prime values of cards together

print(handValue)  # Output the large hand value

This code utilizes the bignum type to store and multiply the prime values representing the hand. By switching to the bignum type automatically, Python ensures that the resulting hand value can be represented and manipulated.

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