Created
October 17, 2012 07:15
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sudoku generator for smtlib input format
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import numpy | |
MODEL = """\ | |
53..7.... | |
6..195... | |
.98....6. | |
8...6...3 | |
4..8.3..1 | |
7...2...6 | |
.6....28. | |
...419..5 | |
....8..79 | |
""" | |
def select(list): | |
return ' '.join('(select a {0})'.format(l) for l in list) | |
def main(model): | |
lines = [] | |
lines.append('(set-logic AUFLIRA)') | |
lines.append('(set-option :produce-models true)') | |
lines.append('(declare-fun a () (Array Int Int))') | |
index = numpy.arange(81).reshape(9,9) | |
for i in xrange(9): | |
lines.append('(assert (distinct {}))'.format(select(index[:,i]))) | |
lines.append('(assert (distinct {}))'.format(select(index[i,:]))) | |
r0 = (i % 3) * 3 | |
c0 = (i // 3) * 3 | |
lines.append('(assert (distinct {}))'.format( | |
select(index[r0:r0+3,c0:c0+3].ravel()) | |
)) | |
for i in xrange(81): | |
lines.append('(assert (< 0 (select a {0})))'.format(i)) | |
lines.append('(assert (> 10 (select a {0})))'.format(i)) | |
for i, n in zip(xrange(81), model): | |
if n != '.': | |
lines.append('(assert (= {0} (select a {1})))'.format(n, i)) | |
lines.append('(check-sat)') | |
lines.append('(get-value ({}))'.format(select(xrange(81)))) | |
return lines | |
with open('sod1.smt', 'w') as out: | |
model = MODEL.replace('\n', '').replace('\r', '').strip() | |
out.write('\n'.join(main(model))) | |
out.write('\n') | |
print "Done, now run 'builds/bin/cvc4 --lang smt sod1.smt'" |
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