mtg/analyze.py

import sys
import math
from mtg import *
import database

def combinations(total, n):
    return math.factorial(total) / (math.factorial(n) * math.factorial(total - n))
def h(n, z, x, y):
    return (combinations(x, n) * combinations(y - x, z - n)) / float(combinations(y, z))

def draw_probability(available, deck, count=1, turn=1, used=0):
    if count == 0:
        return h(0, 7 + turn - 1 - used, available, len(deck))
    total = sum([h(n, 7 + turn - 1 - used, available, len(deck)) for n in range(count)])
    return 1 - total

def graph(data, title, hideEmpty=True):
    categories = sorted(data.keys())
    cjust = sorted([len(str(k)) for k in data.keys()]).pop()
    vjust = sorted([len(str(v)) for v in data.values()]).pop()
    max = sorted(data.values()).pop()
    print title
    print '-' * 80
    for category in categories:
        if hideEmpty and not data[category]:
            continue
        heading = str(category).ljust(cjust)
        value = str(data[category]).rjust(vjust)
        bar = '*' * int(data[category] * (80 - cjust - vjust - 6) / float(max))
        print '{0} [{1}] | {2}'.format(heading, value, bar)
    if hideEmpty and not max:
        print ' *** Nothing to display ***'

def mana_curve(deck):
    costs = [c.cost.converted() for c in deck if c.cost.converted() > 0]
    data = {}
    for i in range(1, sorted(costs).pop() + 1):
        data[i] = 0
    for c in costs:
        data[c] += 1
    return data
  
def rampup(deck, type=None):
    print '{0} Rampup'.format((type if type else 'spell').title())
    print '-' * 80
    land = [c for c in deck if 'land' in c.type.split(' ')]
    cards = [c for c in deck if c.cost.converted() > 0]
    if type:
      cards = [c for c in cards if type in c.type.split(' ')]
    avgCost = sum([c.cost.converted() for c in cards]) / float(len(cards))
    maxCost = sorted([c.cost.converted() for c in cards]).pop()
    print 'Average {0} cost: {1:.3f}'.format(type if type else 'spell', avgCost)
    avgCost = int(round(avgCost))
    for turn in range(avgCost, maxCost + 1):
        castable = [c for c in cards if c.cost.converted() <= turn]
        pm = 1 - draw_probability(len(land), deck, avgCost, turn)
        pc = 1 - draw_probability(len(castable), deck, 1, turn, avgCost)
        p = 1 - pm - pc
        print 'Probability of drawing {0} mana in {1} turns with a castable {3}: {2:.3f}'.format(avgCost, turn, p * 100, type if type else 'spell')
def types(deck):
    return {
        'Lands': len([c for c in deck if 'land' in c.type.split(' ')]),
        'Creatures': len([c for c in deck if 'creature' in c.type.split(' ')]),
        'Artifacts': len([c for c in deck if 'artifact' in c.type.split(' ')]),
        'Enchantments': len([c for c in deck if 'enchantment' in c.type.split(' ')]),
        'Sorceries': len([c for c in deck if 'sorcery' in c.type.split(' ')]),
        'Instants': len([c for c in deck if 'instant' in c.type.split(' ')]),
    }
def colors(deck):
    data = {}
    for color in Mana.types.values():
        data[color] = 0
    for card in deck:
        if 'land' in card.type.split(' '):
            if 'swamp' in card.attributes: data[Mana.types['B']] += 1
            if 'island' in card.attributes: data[Mana.types['U']] += 1
            if 'mountain' in card.attributes: data[Mana.types['R']] += 1
            if 'forest' in card.attributes: data[Mana.types['G']] += 1
            if 'plains' in card.attributes: data[Mana.types['W']] += 1
        else:
            for color, value in card.cost.mana.mana.iteritems():
                data[Mana.types[color]] += 1 if value > 0 else 0
    return data
def rarities(deck):
    data = {}
    for rarity in Card.rarities.values():
        data[rarity] = 0
    for card in deck:
        if not card.rarity: continue
        data[Card.rarities[card.rarity]] += 1
    return data

if __name__ == '__main__':
    db = database.TextDB('db.txt')

    if len(sys.argv) < 2:
        print 'No decks specified.'
        sys.exit(1)
    for filename in sys.argv[1:]:
        print 'Loading deck in "{0}"...'.format(filename)
        deck = Deck()
        """
        with open(filename, 'r') as f:
            for line in f:
                line = line.strip()
                if not re.match('^\d+ .+$', line):
                    continue
                line = line.split(' ')
                count = int(line.pop(0))
                name = ' '.join(line)
                card = db.getCard(name)
                if not card:
                    print 'Invalid card: ', name
                    continue
                deck.extend(card * count)
        """
        deck.load(filename, db)
        print 'Loaded', len(deck), 'cards.'
        graph(mana_curve(deck), '\nMana Curve', hideEmpty=False)
        graph(types(deck), '\nCard Types')
        graph(colors(deck), '\nColors')
        graph(rarities(deck), '\nRarities')
        
        print
        rampup(deck)
        print
        rampup(deck, 'creature');