diff --git a/sat.py b/sat.py index cd016d5..44542a5 100644 --- a/sat.py +++ b/sat.py @@ -1,7 +1,7 @@ from pysmt.shortcuts import Symbol, Bool, Not, Implies, Iff, And, Or, AtMostOne, ExactlyOne, get_model, get_atoms, get_formula_size, get_unsat_core from pysmt.rewritings import conjunctive_partition import json -MOVES = 60 +MAX_MOVES = 60 NUM_STRIKES = 3 NUM_PLAYERS = 5 @@ -10,36 +10,36 @@ deck_str = 'p5 p3 b4 r5 y4 y4 y5 r4 b2 y2 y3 g5 g2 g3 g4 p4 r3 b2 b3 b3 p4 b1 p2 deck = [(s[0], int(s[1])) for s in deck_str.split(' ')] # clues[m][i] == "after move m we have at least i clues" -clues = {-1: {i: Bool(i < 9) for i in range(0, 10)}, **{m: {0: Bool(True), 9: Bool(False), **{i: Symbol('m{}c{}'.format(m, i)) for i in range(1, 9)}} for m in range(MOVES)}} +clues = {-1: {i: Bool(i < 9) for i in range(0, 10)}, **{m: {0: Bool(True), 9: Bool(False), **{i: Symbol('m{}c{}'.format(m, i)) for i in range(1, 9)}} for m in range(MAX_MOVES)}} # strikes[m][i] == "after move m we have at least i strikes" -strikes = {-1: {i: Bool(i == 0) for i in range(0,NUM_STRIKES+1)}, **{m: {0: Bool(True), NUM_STRIKES: Bool(False), **{s: Symbol('m{}s{}'.format(m,s)) for s in range(1,NUM_STRIKES)}} for m in range(MOVES)} } +strikes = {-1: {i: Bool(i == 0) for i in range(0,NUM_STRIKES+1)}, **{m: {0: Bool(True), NUM_STRIKES: Bool(False), **{s: Symbol('m{}s{}'.format(m,s)) for s in range(1,NUM_STRIKES)}} for m in range(MAX_MOVES)} } # extraround[m][i] == "after move m, the extraround has started and at least i turns of it have taken place" -# extraround = {28: {i: Bool(False) for i in range(0, NUM_PLAYERS)}, **{m: {NUM_PLAYERS+1: Bool(False), **{e: Symbol('m{}e{}'.format(m,t) for e in range(0, NUM_PLAYERS+1)}} for m in range(MOVES)} } +# extraround = {28: {i: Bool(False) for i in range(0, NUM_PLAYERS)}, **{m: {NUM_PLAYERS+1: Bool(False), **{e: Symbol('m{}e{}'.format(m,t) for e in range(0, NUM_PLAYERS+1)}} for m in range(MAX_MOVES)} } # extraturn[m] = "turn m is a move part of the extra round or a dummy turn" -extraround = {-1: Bool(False), **{m: Symbol('m{}e'.format(m)) for m in range(0, MOVES)}} +extraround = {-1: Bool(False), **{m: Symbol('m{}e'.format(m)) for m in range(0, MAX_MOVES)}} # dummyturn[m] = "turn m is a dummy nurn and not actually part of the game" -dummyturn = {-1: Bool(False), **{m: Symbol('m{}dt'.format(m)) for m in range(0, MOVES)}} +dummyturn = {-1: Bool(False), **{m: Symbol('m{}dt'.format(m)) for m in range(0, MAX_MOVES)}} # strike[m] = "at move m we get a strike" -strike = {-1: Bool(False), **{m: Symbol('m{}s+'.format(m)) for m in range(MOVES)}} +strike = {-1: Bool(False), **{m: Symbol('m{}s+'.format(m)) for m in range(MAX_MOVES)}} # draw[m][i] == "at move m we draw deck[i]" -draw = {-1: {i: Bool(i == 19) for i in range(19, 50)}, **{m: {19: Bool(False), **{i: Symbol('m{}+{}'.format(m, i)) for i in range(20, 50)}} for m in range(MOVES)}} +draw = {-1: {i: Bool(i == 19) for i in range(19, 50)}, **{m: {19: Bool(False), **{i: Symbol('m{}+{}'.format(m, i)) for i in range(20, 50)}} for m in range(MAX_MOVES)}} # draw[m][i] == "at move m we play/discard deck[i]" -discard = {m: {i: Symbol('m{}-{}'.format(m, i)) for i in range(50)} for m in range(MOVES)} +discard = {m: {i: Symbol('m{}-{}'.format(m, i)) for i in range(50)} for m in range(MAX_MOVES)} # progress[m][c, k] == "after move m we have played in color c until k" -progress = {-1: {(c, k): Bool(k == 0) for c in colors for k in range(6)}, **{m: {**{(c, 0): Bool(True) for c in colors}, **{(c, k): Symbol('m{}:{}{}'.format(m, c, k)) for c in colors for k in range(1, 6)}} for m in range(MOVES)}} +progress = {-1: {(c, k): Bool(k == 0) for c in colors for k in range(6)}, **{m: {**{(c, 0): Bool(True) for c in colors}, **{(c, k): Symbol('m{}:{}{}'.format(m, c, k)) for c in colors for k in range(1, 6)}} for m in range(MAX_MOVES)}} # discard_any[m] == "at move m we play/discard a card" -discard_any = {m: Symbol('m{}d'.format(m)) for m in range(MOVES)} +discard_any = {m: Symbol('m{}d'.format(m)) for m in range(MAX_MOVES)} # draw_any[m] == "at move m we draw a card" -draw_any = {m: Symbol('m{}D'.format(m)) for m in range(MOVES)} +draw_any = {m: Symbol('m{}D'.format(m)) for m in range(MAX_MOVES)} # play[m] == "at move m we play a card" -play = {m: Symbol('m{}p'.format(m)) for m in range(MOVES)} +play = {m: Symbol('m{}p'.format(m)) for m in range(MAX_MOVES)} # play5[m] == "at move m we play a 5" -play5 = {m: Symbol('m{}p5'.format(m)) for m in range(MOVES)} +play5 = {m: Symbol('m{}p5'.format(m)) for m in range(MAX_MOVES)} # incr_clues[m] == "at move m we obtain a clue" -incr_clues = {m: Symbol('m{}c+'.format(m)) for m in range(MOVES)} +incr_clues = {m: Symbol('m{}c+'.format(m)) for m in range(MAX_MOVES)} def print_model(model): - for m in range(MOVES): + for m in range(MAX_MOVES): print('=== move {} ==='.format(m)) print('clues: ' + ''.join(str(i) for i in range(1, 9) if model.get_py_value(clues[m][i]))) print('strikes: ' + ''.join(str(i) for i in range(1, NUM_STRIKES) if model.get_py_value(strikes[m][i]))) @@ -55,7 +55,7 @@ def toJSON(model): players = ["Alice", "Bob", "Cathy", "Donald", "Emily"] hands = [deck[4*p:4*(p+1)] for p in range(0,5)] actions = [] - for m in range(MOVES): + for m in range(MAX_MOVES): if model.get_py_value(dummyturn[m]): break if model.get_py_value(discard_any[m]): @@ -148,12 +148,12 @@ valid_move = lambda m: And( win = And( # maximum progress at each color - *[progress[MOVES-1][c, 5] for c in colors], + *[progress[MAX_MOVES-1][c, 5] for c in colors], # played every color/value combination (NOTE: redundant) - *[Or(And(discard[m][i], play[m]) for m in range(MOVES) for i in range(50) if deck[i] == (c, k)) for c in colors for k in range(1, 6)] + *[Or(And(discard[m][i], play[m]) for m in range(MAX_MOVES) for i in range(50) if deck[i] == (c, k)) for c in colors for k in range(1, 6)] ) -constraints = And(*[valid_move(m) for m in range(MOVES)], win) +constraints = And(*[valid_move(m) for m in range(MAX_MOVES)], win) print('{} variables, {} nodes'.format(len(get_atoms(constraints)), get_formula_size(constraints))) model = get_model(constraints)