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Sage simulation of the Chain Length Problem
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| def reaction(nEthene,nFreeRadicals): | |
| FreeRadicals = [0]*nEthene | |
| ClosedChains = [0]*nEthene | |
| FreeRadicals[0] = nFreeRadicals | |
| nClosedChains = 0 | |
| while nFreeRadicals: | |
| randomType1 = GeneralDiscreteDistribution([nEthene, nFreeRadicals, nClosedChains]).get_random_element() | |
| if randomType1 == 0: #Ethene | |
| nEthene -= 1 | |
| elif randomType1 == 1: #FreeRadical | |
| randomLength1 = GeneralDiscreteDistribution(FreeRadicals).get_random_element() | |
| FreeRadicals[randomLength1] -= 1 | |
| nFreeRadicals -= 1 | |
| elif randomType1 == 2: #ClosedChains | |
| randomLength1 = GeneralDiscreteDistribution(ClosedChains).get_random_element() | |
| ClosedChains[randomLength1] -= 1 | |
| nClosedChains -= 1 | |
| randomType2 = GeneralDiscreteDistribution([nEthene, nFreeRadicals, nClosedChains]).get_random_element() | |
| if randomType2 == 0: #Ethene | |
| nEthene -= 1 | |
| elif randomType2 == 1: #FreeRadical | |
| randomLength2 = GeneralDiscreteDistribution(FreeRadicals).get_random_element() | |
| FreeRadicals[randomLength2] -= 1 | |
| nFreeRadicals -= 1 | |
| elif randomType2 == 2: #ClosedChains | |
| randomLength2 = GeneralDiscreteDistribution(ClosedChains).get_random_element() | |
| ClosedChains[randomLength2] -= 1 | |
| nClosedChains -= 1 | |
| if randomType1 == 0 and randomType2 == 0: #both Ethene | |
| nEthene += 2 | |
| elif randomType1 == 0 and randomType2 == 1: | |
| nFreeRadicals += 1 | |
| FreeRadicals[randomLength2 + 1] += 1 | |
| elif randomType2 == 0 and randomType1 == 1: | |
| nFreeRadicals += 1 | |
| FreeRadicals[randomLength1 + 1] += 1 | |
| elif randomType1 == 0 and randomType2 == 2: | |
| nEthene += 1 | |
| nClosedChains += 1 | |
| ClosedChains[randomLength2] += 1 | |
| elif randomType2 == 0 and randomType1 == 2: | |
| nEthene += 1 | |
| nClosedChains += 1 | |
| ClosedChains[randomLength1] += 1 | |
| elif randomType1 == 1 and randomType2 == 1: | |
| nClosedChains += 1 | |
| ClosedChains[randomLength1 + randomLength2] += 1 | |
| elif randomType1 == 1 and randomType2 == 2: | |
| nFreeRadicals += 1 | |
| FreeRadicals[randomLength1] += 1 | |
| nClosedChains += 1 | |
| ClosedChains[randomLength2] += 1 | |
| elif randomType2 == 1 and randomType1 == 2: | |
| nFreeRadicals += 1 | |
| FreeRadicals[randomLength2] += 1 | |
| nClosedChains += 1 | |
| ClosedChains[randomLength1] += 1 | |
| elif randomType1 == 2 and randomType2 == 2: | |
| nClosedChains += 2 | |
| ClosedChains[randomLength1] += 1 | |
| ClosedChains[randomLength2] += 1 | |
| return nEthene, nFreeRadicals, nClosedChains, FreeRadicals, ClosedChains |
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