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search.py
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search.py
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"""Implementation of game search algorithms (minimax and alpha beta search)"""
import chess
import random
from environment import Environment
import numpy as np
from chess_utils import map_side_to_int,get_piece,uci_to_squares,rotate
import chess.gaviota as gav
def minimax(V,F,env,depth):
"""
native minimax without optimizations
params:
V: value function
F: methode to transform data into features
env: environment (chess position)
depth: depth of search
returns:
max_a: best action
max_score: score of this action
"""
as_pairs=env.get_as_pairs()
if depth==0 or len(as_pairs)==0:
return None,map_side_to_int(env.get_turn())*V(F(env.current_state))
else:
max_a=None
max_score=None
for (a,s) in as_pairs:
env=Environment(state=s)
score=-minimax(V,F,env,depth-1)[1]
if score>max_score:
max_score=score
max_a=a
return max_a,max_score
def alphabeta_native(V,F,env,depth,alpha,beta):
"""
minimax with alpha beta pruning
params:
V: value function
F: methode to transform data into features
env: environment (chess position)
depth: depth of search
alpha
beta
returns:
max_a: best action
max_score: score of this action
"""
as_pairs=env.get_as_pairs()
if depth==0 or len(as_pairs)==0:
return None,map_side_to_int(env.get_turn())*V(F(env.current_state))
else:
act=None
for (a,s) in as_pairs:
env=Environment(s)
score=-alphabeta_native(V,F,env,depth-1,-beta,-alpha)[1]
if score>=beta:
return a,beta
elif score>alpha:
alpha=score
act=a
return act, alpha
def alphabeta_batch(V,F,env,depth,alpha,beta):
"""
alpha beta pruning on a batch of positions
params:
V: value function
F: methode to transform data into features
env: batch of environments (chess positions)
depth: depth of search
alpha
beta
returns:
max_a: best action
max_score: score of this action
"""
if depth<1:
S=F(env.current_state)
return None, map_side_to_int(env.get_turn())*V(S)
as_pairs=env.get_as_pairs()
if len(as_pairs)==0:
return None,map_side_to_int(env.get_turn())*V(F(env.current_state))
if depth==1:
S=np.array([F(s) for (a,s) in as_pairs])
S=np.reshape(S,(S.shape[0],S.shape[-1]))
values=map_side_to_int(env.get_turn())*V(S)
index=np.argmax(values)
return as_pairs[index][0],values[index,0]
else:
act=None
for (a,s) in as_pairs:
env=Environment(s)
score=-alphabeta_batch(V,F,env,depth-1,-beta,-alpha)[1]
if score>=beta:
return a,beta
elif score>alpha:
alpha=score
act=a
return act, alpha
def alphabeta_dtm(sp,a,s,depth,alpha,beta):
"""
alpha beta pruning on a ground truth dtm
params:
sp: previous state
a: action
s: current state
depth: depth of search
alpha
beta
returns:
max_a: best action
max_score: score of this action
"""
if depth==0:
ep=Environment(sp)
return None,-map_side_to_int(ep.get_turn())*ep.action_outcome(a)
elif depth==1:
e=Environment(s)
as_pairs=e.get_as_pairs()
outcomes=[-0.5*map_side_to_int(e.get_turn())*e.action_outcome(an) for
(an,sn) in as_pairs]
max_o=max(outcomes)
rand=outcomes.index(max_o)
return as_pairs[rand][0],max_o
else:
best_an=None
e=Environment(s)
as_pairs=e.get_as_pairs()
for (an,sn) in as_pairs:
score=-0.5*alphabeta_dtm(s,an,sn,depth-1,-beta,-alpha)[1]
if score>=beta:
return an, beta
elif score>alpha:
alpha=score
best_an=an
return best_an,alpha
def alphabeta_outcome(sp,a,s,depth,alpha,beta):
"""
alpha beta pruning on a ground truth outcome
params:
sp: previous state
a: action
s: current state
depth: depth of search
alpha
beta
returns:
max_a: best action
max_score: score of this action
"""
if depth<1:
env=Environment(sp)
env.perform_action(a)
o=map_side_to_int(env.get_turn())*env.int_outcome()
#print o
return None,o
env=Environment(s)
as_pairs=env.get_as_pairs()
if len(as_pairs)==0:
env=Environment(sp)
env.perform_action(a)
o=map_side_to_int(env.get_turn())*env.int_outcome()
#print o
return None,o
if depth==1:
outcomes=[0.5*map_side_to_int(env.get_turn())*env.action_outcome(a) for
(a,sn) in as_pairs]
best=np.argmax(np.array(outcomes))
best_o=outcomes[best]
return as_pairs[best][0],best_o
act=None
for (a,sn) in as_pairs:
score=-0.5*alphabeta_outcome(s,a,sn,depth-1,-beta,-alpha)[1]
if score>=beta:
return a, beta
elif score>alpha:
alpha=score
act=a
return act,alpha
def alphabeta_batch_hist(V,F,env,hist,depth,alpha,beta):
"""alpha_beta_batch with added memory (dynamic programming)
params:
hist: history of observed states
"""
if depth<1:
S=F(env.current_state)
return None, map_side_to_int(env.get_turn())*V(S)
as_pairs=env.get_as_pairs()
if len(as_pairs)==0:
return None,map_side_to_int(env.get_turn())*V(F(env.current_state))
# avoid repetition
as_pairs=[(a,s) for (a,s) in as_pairs if s not in hist]
if len(as_pairs)==0:
as_pairs=env.get_as_pairs()
if depth==1:
S=np.array([F(s) for (a,s) in as_pairs if s ])
S=np.reshape(S,(S.shape[0],S.shape[-1]))
values=map_side_to_int(env.get_turn())*V(S)
index=np.argmax(values)
return as_pairs[index][0],values[index,0]
else:
act=None
for (a,s) in as_pairs:
env=Environment(s)
score=-alphabeta_batch_hist(V,F,env,hist+[s],depth-1,-beta,-alpha)[1]
if score>=beta:
return a,beta
elif score>alpha:
alpha=score
act=a
return act, alpha
def alphabeta_batch_hist_leaf(V,F,env,hist,depth,alpha,beta):
if depth<1:
S=F(env.current_state)
return None, map_side_to_int(env.get_turn())*V(S),env.current_state
as_pairs=env.get_as_pairs()
if len(as_pairs)==0:
return None,map_side_to_int(env.get_turn())*V(F(env.current_state)),env.current_state
# avoid repetition
as_pairs=[(a,s) for (a,s) in as_pairs if s not in hist]
if len(as_pairs)==0:
as_pairs=env.get_as_pairs()
if depth==1:
S=np.array([F(s) for (a,s) in as_pairs if s ])
S=np.reshape(S,(S.shape[0],S.shape[-1]))
values=map_side_to_int(env.get_turn())*V(S)
index=np.argmax(values)
#env.draw()
#a0,s0=minimax(V,F,env,1)
#assert np.abs(values[index,0]-s0)<0.0001
return as_pairs[index][0],values[index,0],as_pairs[index][1]
else:
act=None
best_leaf=None
for (a,s) in as_pairs:
env=Environment(s)
_,score,leaf=alphabeta_batch_hist_leaf(V,F,env,hist,depth-1,-beta,-alpha)
score=-score
if score>=beta:
return a,beta,leaf
elif score>alpha:
alpha=score
act=a
best_leaf=leaf
return act, alpha,best_leaf
def trans_add_entry(table,s,d,sc,mv):
table['state']={'depth':d,'score':sc,'move':mv}
pieces=['P','R','B','N','Q','K','p','r','b','n','q','k']
PIECE_MAP=dict()
for i in xrange(len(pieces)):
PIECE_MAP[pieces[i]]=i
def zobrist_array():
# deprecated: not part of chess v22
import chess
#return chess.POLYGLOT_RANDOM_ARRAY
return []
ZOB=zobrist_array()
def zobrist(s):
'''
TODO: ep and castle
'''
b =(s.split()[0]).split('/')
z=None
indexes=[]
for i in xrange(len(b)):
f=0
for j in xrange(len(b[i])):
if ord('0')<=ord(b[i][j])<=ord('9'):
f+=int(b[i][j])
else:
p=b[i][j]
ind=PIECE_MAP[p]*64+i*8+f
indexes.append(ind)
if z is None:
z=ZOB[ind]
else:
z^=ZOB[ind]
f+=1
if s.split()[1]=='w':
z^=ZOB[-1]
print indexes
return z
def new_zobrist(z,s,a):
'''
different kind of xoring for different kind of moves
'''
(sq1,sq2)=uci_to_squares(a)
#print a
#print sq1,sq2
Environment(s).draw()
p1=get_piece(s,sq1)
p2=get_piece(s,sq2)
#print p1,p2
ind1=PIECE_MAP[p1]*64+sq1[0]*8+sq1[1]
ind2=PIECE_MAP[p1]*64+sq2[0]*8+sq2[1]
indexes=[ind1,ind2]
if p2 is not None:
rem=PIECE_MAP[p2]*64+sq2[0]*8+sq2[1]
indexes.append(rem)
z2=z^ZOB[-1]^ZOB[ind1]^ZOB[ind2]
if p2 is not None:
z2^=ZOB[rem]
#print indexes
return z2
def alphabeta_zobtrans(V,F,trans,env,z,depth,alpha,beta):
"""some doodling around with a self written zobrist hash function, did not
perform as good as with the python hash function for dictionaries"""
as_pairs=env.get_as_pairs()
st=env.current_state
if len(as_pairs)==0:
return None,map_side_to_int(env.get_turn())*V(F(env.current_state))
if z in trans:
if trans[z]['depth']>=depth:
return trans[z]['move'],trans[z]['score']
else:
"change order of lookup in favour of pv"
ind=[a for (a,s) in as_pairs].index(trans[z]['move'])
as_pairs[0], as_pairs[ind]=as_pairs[ind],as_pairs[0]
if depth==1:
S=np.array([F(s) for (a,s) in as_pairs])
S=np.reshape(S,(S.shape[0],S.shape[-1]))
values=map_side_to_int(env.get_turn())*V(S)
index=np.argmax(values)
#a0,s0=minimax(V,F,env,1)
#assert np.abs(values[index,0]-s0)<0.0001
trans_add_entry(trans,z,depth,values[index,0],as_pairs[index][0])
return as_pairs[index][0],values[index,0]
else:
act=None
for (a,s) in as_pairs:
zn=new_zobrist(z,st,a)
env=Environment(s)
score=-alphabeta_zobtrans(V,F,trans,env,zn,depth-1,-beta,-alpha)[1]
if score>=beta:
return a,beta
elif score>alpha:
alpha=score
act=a
trans_add_entry(trans,z,depth,alpha,act)
return act, alpha
def alphabeta_trans(V,F,trans,env,depth,alpha,beta):
as_pairs=env.get_as_pairs()
if len(as_pairs)==0:
return None,map_side_to_int(env.get_turn())*V(F(env.current_state))
if env.current_state in trans:
s=env.current_state
if trans[s]['depth']>=depth:
return trans[s]['move'],trans[s]['score']
else:
"change order of lookup in favour of pv"
ind=[a for (a,s) in as_pairs].index(trans[s]['move'])
as_pairs[0], as_pairs[ind]=as_pairs[ind],as_pairs[0]
if depth==1:
S=np.array([F(s) for (a,s) in as_pairs])
S=np.reshape(S,(S.shape[0],S.shape[-1]))
values=map_side_to_int(env.get_turn())*V(S)
index=np.argmax(values)
#a0,s0=minimax(V,F,env,1)
#assert np.abs(values[index,0]-s0)<0.0001
trans_add_entry(trans,env.current_state,depth,values[index,0],as_pairs[index][0])
return as_pairs[index][0],values[index,0]
else:
act=None
for (a,s) in as_pairs:
env=Environment(s)
score=-alphabeta_trans(V,F,trans,env,depth-1,-beta,-alpha)[1]
if score>=beta:
trans_add_entry(trans,env.current_state,depth,beta,a)
return a,beta
elif score>alpha:
alpha=score
act=a
trans_add_entry(trans,env.current_state,depth,alpha,act)
return act, alpha
def test():
from approximator import Approximator
import time
import tensorflow as tf
from learn.preprocessing import faster_featurize
env=Environment(draw_r=-1,move_r=0.001)
env.reset()
model_fn='Models/DeepTDy_m8_krk_3-4_cont__07_05/DeepTDy_m8_krk_3-4_cont__07_05-0_0173614-0'
with tf.Session() as sess:
saver=tf.train.import_meta_graph(model_fn+'.meta')
saver.restore(sess,model_fn)
approx=Approximator(sess)
V=approx.value
F=faster_featurize
flag=False
mv_cnt=0
time1=0
time2=0
trans=dict()
while not flag:
env.draw()
print env.hist
print '\n'
if env.is_terminal():
print env.result()
flag=True
else:
start=time.time()
a,score=alphabeta_batch(V,F,env,3,-float('inf'),float('inf'))
end=time.time()
a2,score2,leaf=alphabeta_batch_hist_leaf(V,F,env,list(env.hist.keys()),3,-float('inf'),float('inf'))
end2=time.time()
#assert np.abs(score-score2)<0.001
env.perform_action(a2)
time1+=end-start
time2+=end2-end
mv_cnt+=1
print('\nLeaf:')
Environment(state=leaf).draw()
print('AB-Minimax Batch: {}\tAB-Minimax hist:{}'.format(time1/mv_cnt,time2/mv_cnt))
def speed_test():
from approximator import Approximator
import time
import tensorflow as tf
from learn.preprocessing import faster_featurize
import settings
from environment import load_DS
settings.init()
load_DS('dataset/krk.epd')
settings.params['PL']=list('KRkr')
model_fn='Models/stem_leaf/TDLeaf/TDLeaf_stem_or_leaf_7__03_07/TDLeaf_stem_or_leaf_7__03_07-1_13299-0'
with tf.Session() as sess:
saver=tf.train.import_meta_graph(model_fn+'.meta')
saver.restore(sess,model_fn)
approx=Approximator(sess)
V=approx.value
F=faster_featurize
avg_time1=0
avg_time2=0
avg_time3=0
for _ in xrange(20):
env=Environment()
flag=False
mv_cnt=0
time1=0
time2=0
time3=0
while not flag:
if env.is_terminal():
flag=True
else:
start=time.time()
a,score=alphabeta_native(V,F,env,3,-float('inf'),float('inf'))
end=time.time()
a2,score2=alphabeta_batch_hist(V,F,env,list(env.hist.keys()),3,-float('inf'),float('inf'))
end2=time.time()
a3,score=alphabeta_batch(V,F,env,3,-float('inf'),float('inf'))
end3=time.time()
env.perform_action(a)
time1+=end-start
time2+=end2-end
time3+=end3-end2
mv_cnt+=1
avg_time1+=time1/mv_cnt
avg_time2+=time2/mv_cnt
avg_time3+=time3/mv_cnt
print avg_time1/100, avg_time2/100, avg_time3/100
def test_outcome():
s0p='5K2/7k/8/2Q5/8/8/8/8 w - -'
u='c5h5'
s0='5K2/7k/8/7Q/8/8/8/8 b - -'
e0=Environment(s0)
e0.draw()
print alphabeta_outcome(s0p,u,s0,0,-float('inf'),float('inf'))
s1=s0p
e1=Environment(s1)
e1.draw()
print alphabeta_outcome(None,None,s1,1,-float('inf'),float('inf'))
s2='7k/1Q3K2/8/8/8/8/8/8 b - -'
e2=Environment(s2)
e2.draw()
print alphabeta_outcome(None,None,s2,2,-float('inf'),float('inf'))
s3='8/8/8/5K1k/8/Q7/8/8 b - -'
e3=Environment(s3)
e3.draw()
print alphabeta_outcome(None,None,s3,2,-float('inf'),float('inf'))
s4='8/8/8/Q4K1k/8/8/8/8 w - -'
e4=Environment(s4)
e4.draw()
print alphabeta_outcome(None,None,s4,3,-float('inf'),float('inf'))
e4.perform_action('f5f6')
e4.draw()
print alphabeta_outcome(None,None,e4.current_state,2,-float('inf'),float('inf'))
if __name__=='__main__':
speed_test()