| 1 | //This file contains data conversion functions such as index-encoding-to-human-readible-format function, prefix-to-infix-format conversion function, |
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| 2 | //formula-to-latex converters, etc... |
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| 3 | |
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| 4 | |
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| 5 | function binaryToIndex(binaryCombination, baseHypothesesIndexed) |
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| 6 | { |
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| 7 | |
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| 8 | if(binaryCombination.find(1) == -1) |
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| 9 | return null; |
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| 10 | |
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| 11 | var hypothesis = Vector.new(); |
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| 12 | var first = binaryCombination.find(1); |
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| 13 | hypothesis = getIndexedConjunctionFromLiterals(baseHypothesesIndexed[first]); |
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| 14 | var i; |
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| 15 | |
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| 16 | for(i = first + 1; i < binaryCombination.size; i++) |
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| 17 | { |
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| 18 | if(binaryCombination[i] == 1) |
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| 19 | { |
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| 20 | hypothesis = (plainListCopyInsert(mergePlainLists(hypothesis, getIndexedConjunctionFromLiterals(baseHypothesesIndexed[i])), 0, [2])); |
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| 21 | } |
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| 22 | } |
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| 23 | |
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| 24 | return hypothesis; |
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| 25 | } |
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| 26 | |
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| 27 | |
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| 28 | function binaryToForm(binaryCombinations, baseHypotheses) |
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| 29 | { |
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| 30 | |
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| 31 | if(binaryCombinations.find(1) == -1) |
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| 32 | return null; |
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| 33 | |
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| 34 | var hypothesis = ""; |
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| 35 | |
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| 36 | var first = binaryCombinations.find(1); |
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| 37 | hypothesis = baseHypotheses[first]; |
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| 38 | var i; |
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| 39 | |
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| 40 | for(i = first + 1; i < binaryCombinations.size; i++) |
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| 41 | { |
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| 42 | if(binaryCombinations[i] == 1) |
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| 43 | { |
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| 44 | hypothesis = "A" + hypothesis + baseHypotheses[i]; |
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| 45 | } |
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| 46 | } |
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| 47 | |
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| 48 | return hypothesis; |
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| 49 | } |
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| 50 | |
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| 51 | function convertIndexedSetToLatex(listOfIndexedForms) |
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| 52 | { |
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| 53 | |
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| 54 | var i; |
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| 55 | var setLatex = "\\{"; |
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| 56 | var litLatex = ""; |
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| 57 | var allLatex = ""; |
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| 58 | for(i = 0; i < listOfIndexedForms.size; i++) |
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| 59 | { |
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| 60 | var infix = Vector.new(); |
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| 61 | infix = indexesPrefixToInfix(listOfIndexedForms[i], infix); |
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| 62 | var formInfix = createInfixFormFromIndexesInfix(infix); |
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| 63 | var latex = formToLatex(formInfix); |
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| 64 | |
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| 65 | if(i < (listOfIndexedForms.size - 2)) |
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| 66 | setLatex += latex + ", "; |
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| 67 | else if(i == (listOfIndexedForms.size - 2)) |
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| 68 | setLatex += latex; |
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| 69 | else if(i == (listOfIndexedForms.size - 1)) |
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| 70 | litLatex = latex; |
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| 71 | |
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| 72 | } |
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| 73 | if(setLatex != "\\{") |
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| 74 | allLatex = setLatex + ", " + litLatex + "\\}"; |
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| 75 | else |
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| 76 | allLatex = setLatex + litLatex + "\\}"; |
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| 77 | |
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| 78 | return allLatex; |
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| 79 | } |
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| 80 | |
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| 81 | function formToLatex(form) |
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| 82 | { |
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| 83 | var i; |
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| 84 | var len = String.len(form); |
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| 85 | |
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| 86 | var newForm = String.replace(form, "A", " \\lor "); |
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| 87 | newForm = String.replace(newForm, "K", " \\land "); |
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| 88 | newForm = String.replace(newForm, "C", " \\to "); |
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| 89 | newForm = String.replace(newForm, "E", " \\equiv "); |
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| 90 | newForm = String.replace(newForm, "N", " \\lnot "); |
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| 91 | |
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| 92 | return newForm; |
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| 93 | } |
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| 94 | |
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| 95 | function createInfixFormFromIndexesInfix(indexesInfix) |
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| 96 | { |
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| 97 | var form = ""; |
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| 98 | var i; |
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| 99 | var symbolType = 0; |
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| 100 | for(i = 0; i < indexesInfix.size; i++) |
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| 101 | { |
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| 102 | symbolType = typeof(indexesInfix[i]); |
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| 103 | if(symbolType != 0) |
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| 104 | { |
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| 105 | if(symbolType == 3) |
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| 106 | { |
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| 107 | form += indexesInfix[i]; |
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| 108 | } |
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| 109 | else |
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| 110 | { |
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| 111 | form += g_symbolsChart[indexesInfix[i]]; |
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| 112 | } |
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| 113 | } |
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| 114 | else |
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| 115 | return Simulator.print("There is a problem with symbols in the indexed infix form!"); |
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| 116 | } |
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| 117 | |
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| 118 | return form; |
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| 119 | } |
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| 120 | |
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| 121 | function indexesPrefixToInfix(listOfIndexes, infix) |
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| 122 | { |
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| 123 | var symbol = listOfIndexes[0]; |
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| 124 | |
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| 125 | if((symbol == 1) || (symbol == 2) || (symbol == 3)) |
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| 126 | { |
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| 127 | var args = getIndexedMainArgs(listOfIndexes); |
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| 128 | infix.add("("); |
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| 129 | infix = indexesPrefixToInfix(args[0],infix); |
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| 130 | infix.add(symbol); |
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| 131 | infix = indexesPrefixToInfix(args[1], infix); |
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| 132 | infix.add(")"); |
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| 133 | return infix; |
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| 134 | } |
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| 135 | else |
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| 136 | { |
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| 137 | if(symbol == 0) |
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| 138 | { |
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| 139 | infix.add(symbol); |
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| 140 | var args = getIndexedMainArgs(listOfIndexes); |
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| 141 | infix = indexesPrefixToInfix(args[0], infix); |
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| 142 | return infix; |
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| 143 | } |
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| 144 | else |
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| 145 | { |
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| 146 | infix.add(symbol); |
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| 147 | return infix; |
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| 148 | } |
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| 149 | } |
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| 150 | } |
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| 151 | |
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| 152 | function getIndexedConjunctionFromLiterals(indexedListOfLiterals) |
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| 153 | { |
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| 154 | var i,j; |
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| 155 | var result = Vector.new(); |
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| 156 | |
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| 157 | |
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| 158 | |
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| 159 | for(j = 0; j < indexedListOfLiterals[0].size; j++) |
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| 160 | result.add(indexedListOfLiterals[0][j]); |
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| 161 | |
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| 162 | for(i = 1; i < indexedListOfLiterals.size; i++) |
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| 163 | { |
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| 164 | result = plainListCopyInsert(result, 0, [1]); |
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| 165 | for(j = 0; j < indexedListOfLiterals[i].size; j++) |
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| 166 | result.add(indexedListOfLiterals[i][j]); |
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| 167 | |
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| 168 | } |
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| 169 | |
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| 170 | return result; |
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| 171 | } |
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| 172 | |
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| 173 | function formulaFromLiterals(literals) |
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| 174 | { |
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| 175 | var i,j; |
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| 176 | var form = convertIndexesToForm(literals[0]); |
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| 177 | |
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| 178 | |
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| 179 | for(i = 1; i < literals.size; i++) |
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| 180 | form = "K" + form + convertIndexesToForm(literals[i]); |
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| 181 | |
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| 182 | return form; |
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| 183 | } |
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| 184 | |
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| 185 | function convertIndexesToForm(setOfIndexes) |
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| 186 | { |
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| 187 | var form = ""; |
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| 188 | var i; |
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| 189 | |
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| 190 | for(i = 0; i < setOfIndexes.size; i++) |
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| 191 | { |
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| 192 | form += g_symbolsChart[setOfIndexes[i]]; |
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| 193 | } |
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| 194 | |
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| 195 | return form; |
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| 196 | } |
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| 197 | |
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| 198 | function getFormListFromIndexes(literalsListsIndexed) |
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| 199 | { |
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| 200 | var i,j; |
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| 201 | var new = Vector.new(); |
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| 202 | for(i = 0; i < literalsListsIndexed.size; i++) |
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| 203 | { |
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| 204 | new.add(Vector.new()); |
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| 205 | |
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| 206 | for(j = 0; j < literalsListsIndexed[i].size; j++) |
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| 207 | new[i].add(convertIndexesToForm(literalsListsIndexed[i][j])); |
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| 208 | } |
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| 209 | |
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| 210 | return new; |
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| 211 | } |
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| 212 | |
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| 213 | function convertLiteralsToNumbers(setOfLiteralsIndexed) |
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| 214 | { |
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| 215 | var i; |
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| 216 | var result = Vector.new(); |
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| 217 | |
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| 218 | for(i = 0; i < setOfLiteralsIndexed.size; i++) |
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| 219 | { |
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| 220 | if(setOfLiteralsIndexed[i].size > 0 && setOfLiteralsIndexed[i].size < 3) |
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| 221 | { |
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| 222 | if(setOfLiteralsIndexed[i][0] == 0) |
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| 223 | result.add(setOfLiteralsIndexed[i][1]); |
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| 224 | else |
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| 225 | result.add(100+setOfLiteralsIndexed[i][0]); |
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| 226 | } |
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| 227 | else |
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| 228 | { |
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| 229 | Simulator.print("There is a problem with entangled literals!"); |
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| 230 | } |
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| 231 | } |
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| 232 | return result; |
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| 233 | } |
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| 234 | |
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| 235 | function convertNumbersToLiterals(setOfNumbers) |
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| 236 | { |
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| 237 | var i; |
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| 238 | var result = Vector.new(); |
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| 239 | |
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| 240 | for(i = 0; i < setOfNumbers.size; i++) |
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| 241 | { |
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| 242 | if(setOfNumbers[i] != 0) |
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| 243 | { |
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| 244 | if(setOfNumbers[i] < 100) |
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| 245 | { |
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| 246 | result.add([0,setOfNumbers[i]]); |
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| 247 | } |
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| 248 | else |
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| 249 | { |
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| 250 | result.add([setOfNumbers[i]%100]); |
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| 251 | } |
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| 252 | } |
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| 253 | else |
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| 254 | Simulator.print("There is a problem with entangled literals!"); |
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| 255 | } |
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| 256 | |
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| 257 | return result; |
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| 258 | } |
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