mirror of
https://github.com/kalmarek/SmallHyperbolic
synced 2024-07-27 21:10:31 +02:00
28 lines
1.4 KiB
Python
28 lines
1.4 KiB
Python
# This script augments creates the magma file small_hyperbolic.magma out of
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# the file small_hyperbolic.magma_template by filling in the lines
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# "hyp_words_a := ..." and "hyp_words_c := ..." with lists of all short words
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# representing short hyperbolic elements.
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from itertools import permutations,product
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import sys
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basic_words_a = ['abcb','abcabc','abcbabcb','abcabcabcb','abcbabcbabcb','abcabcabcabc']#,'abcabcabcbabcb']
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basic_words_c = ['acbc','cbca','acabcb','cabcba','acbcacbc','cbcacbca','acabcabcbc','cabcabcbca','acabcbacabcb','cabcbacabcba','acbcacbcacbc','cbcacbcacbca']
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def words(basic_word):
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for p in permutations('ab'):
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d = dict(zip('abc',p + ('c',)))
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subs_word = ''.join(d[i] for i in basic_word)
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for exps in product(('','^-1'), repeat=len(subs_word)):
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word = ' * '.join((c + e) for (c,e) in zip(subs_word,exps))
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yield word
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with open("small_hyperbolic.magma_template","r") as magma_template:
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with open("small_hyperbolic.magma","w") as magma:
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for line in magma_template:
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if 'hyp_words_a := ' in line:
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magma.write('hyp_words_a := [ %s ];\n' % ' , '.join('{ %s }' % ', '.join(words(basic_word)) for basic_word in basic_words_a))
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elif 'hyp_words_c := ' in line:
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magma.write('hyp_words_c := [ %s ];\n' % ' , '.join('{ %s }' % ', '.join(words(basic_word)) for basic_word in basic_words_c))
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else:
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magma.write(line)
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