| [6f43ab] | 1 | /* | 
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|  | 2 | * Formula.cpp | 
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|  | 3 | * | 
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|  | 4 | *  Created on: Jul 21, 2010 | 
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|  | 5 | *      Author: crueger | 
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|  | 6 | */ | 
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|  | 7 |  | 
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|  | 8 | #include "Formula.hpp" | 
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|  | 9 |  | 
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|  | 10 | #include <sstream> | 
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|  | 11 |  | 
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|  | 12 | #include "World.hpp" | 
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|  | 13 | #include "periodentafel.hpp" | 
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|  | 14 | #include "element.hpp" | 
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|  | 15 | #include "Helpers/Assert.hpp" | 
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| [ee86a0] | 16 | #include "Helpers/Range.hpp" | 
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| [6f43ab] | 17 |  | 
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|  | 18 | using namespace std; | 
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|  | 19 |  | 
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|  | 20 | Formula::Formula() : | 
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|  | 21 | numElements(0) | 
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|  | 22 | {} | 
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|  | 23 |  | 
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|  | 24 | Formula::Formula(const Formula &src) : | 
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|  | 25 | elementCounts(src.elementCounts), | 
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|  | 26 | numElements(src.numElements) | 
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|  | 27 | {} | 
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|  | 28 |  | 
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| [d03bb1] | 29 | Formula::Formula(const string &formula) : | 
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|  | 30 | numElements(0) | 
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|  | 31 | { | 
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|  | 32 | fromString(formula); | 
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|  | 33 | } | 
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|  | 34 |  | 
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| [6f43ab] | 35 | Formula::~Formula() | 
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|  | 36 | {} | 
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|  | 37 |  | 
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|  | 38 | Formula &Formula::operator=(const Formula &rhs){ | 
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|  | 39 | // No self-assignment check needed | 
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|  | 40 | elementCounts=rhs.elementCounts; | 
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|  | 41 | numElements=rhs.numElements; | 
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|  | 42 | return *this; | 
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|  | 43 | } | 
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|  | 44 |  | 
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|  | 45 | std::string Formula::toString() const{ | 
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|  | 46 | stringstream sstr; | 
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| [add42a] | 47 | for(const_iterator iter=end();iter!=begin();){ | 
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|  | 48 | --iter; | 
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| [a6d6a9] | 49 | sstr << (*iter).first->symbol; | 
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|  | 50 | if((*iter).second>1) | 
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|  | 51 | sstr << (*iter).second; | 
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| [6f43ab] | 52 | } | 
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|  | 53 | return sstr.str(); | 
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|  | 54 | } | 
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|  | 55 |  | 
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| [d03bb1] | 56 | void Formula::fromString(const std::string &formula) throw(ParseError){ | 
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| [4d1d43] | 57 | // make this transactional, in case an error is thrown | 
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|  | 58 | Formula res; | 
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|  | 59 | string::const_iterator begin = formula.begin(); | 
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|  | 60 | string::const_iterator end = formula.end(); | 
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|  | 61 | res.parseFromString(begin,end,static_cast<char>(0)); | 
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|  | 62 | (*this)=res; | 
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|  | 63 | } | 
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|  | 64 |  | 
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|  | 65 | int Formula::parseMaybeNumber(string::const_iterator &it,string::const_iterator &end) throw(ParseError){ | 
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|  | 66 | static const range<char> Numbers = makeRange('0',static_cast<char>('9'+1)); | 
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|  | 67 | int count = 0; | 
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|  | 68 | while(it!=end && Numbers.isInRange(*it)) | 
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|  | 69 | count = (count*10) + ((*it++)-Numbers.first); | 
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|  | 70 | // one is implicit | 
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|  | 71 | count = (count!=0)?count:1; | 
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|  | 72 | return count; | 
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|  | 73 | } | 
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|  | 74 |  | 
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|  | 75 | void Formula::parseFromString(string::const_iterator &it,string::const_iterator &end,char delimiter) throw(ParseError){ | 
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| [d03bb1] | 76 | // some constants needed for parsing... Assumes ASCII, change if other encodings are used | 
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| [ee86a0] | 77 | static const range<char> CapitalLetters = makeRange('A',static_cast<char>('Z'+1)); | 
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|  | 78 | static const range<char> SmallLetters = makeRange('a',static_cast<char>('z'+1)); | 
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| [4d1d43] | 79 | map<char,char> delimiters; | 
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|  | 80 | delimiters['('] = ')'; | 
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|  | 81 | delimiters['['] = ']'; | 
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| [d03bb1] | 82 | // clean the formula | 
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|  | 83 | clear(); | 
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| [4d1d43] | 84 | for(/*send from above*/;it!=end && *it!=delimiter;/*updated in loop*/){ | 
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|  | 85 | // we might have a sub formula | 
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|  | 86 | if(delimiters.count(*it)){ | 
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|  | 87 | Formula sub; | 
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|  | 88 | char nextdelim=delimiters[*it]; | 
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|  | 89 | sub.parseFromString(++it,end,nextdelim); | 
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| [38e075] | 90 | if(!sub.getElementCount()){ | 
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|  | 91 | throw(ParseError(__FILE__,__LINE__)); | 
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|  | 92 | } | 
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| [4d1d43] | 93 | int count = parseMaybeNumber(++it,end); | 
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|  | 94 | addFormula(sub,count); | 
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|  | 95 | continue; | 
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|  | 96 | } | 
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| [d03bb1] | 97 | string shorthand; | 
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|  | 98 | // Atom names start with a capital letter | 
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| [ee86a0] | 99 | if(!CapitalLetters.isInRange(*it)) | 
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| [d03bb1] | 100 | throw(ParseError(__FILE__,__LINE__)); | 
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|  | 101 | shorthand+=(*it++); | 
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|  | 102 | // the rest of the name follows | 
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| [ee86a0] | 103 | while(it!=end && SmallLetters.isInRange(*it)) | 
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| [d03bb1] | 104 | shorthand+=(*it++); | 
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| [4d1d43] | 105 | int count = parseMaybeNumber(it,end); | 
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| [fefe0d] | 106 | // test if the shorthand exists | 
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|  | 107 | if(!World::getInstance().getPeriode()->FindElement(shorthand)) | 
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|  | 108 | throw(ParseError(__FILE__,__LINE__)); | 
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| [d03bb1] | 109 | // done, we can get the next one | 
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|  | 110 | addElements(shorthand,count); | 
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|  | 111 | } | 
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| [4d1d43] | 112 | if(it==end && delimiter!=0){ | 
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|  | 113 | throw(ParseError(__FILE__,__LINE__)); | 
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|  | 114 | } | 
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| [d03bb1] | 115 | } | 
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|  | 116 |  | 
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| [6f43ab] | 117 | bool Formula::checkOut(ostream *output) const{ | 
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|  | 118 | bool result = true; | 
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|  | 119 | int No = 1; | 
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|  | 120 |  | 
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|  | 121 | if (output != NULL) { | 
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|  | 122 | *output << "# Ion type data (PP = PseudoPotential, Z = atomic number)" << endl; | 
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|  | 123 | *output << "#Ion_TypeNr.\tAmount\tZ\tRGauss\tL_Max(PP)L_Loc(PP)IonMass\t# chemical name, symbol" << endl; | 
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|  | 124 | for(const_iterator iter=begin(); iter!=end();++iter){ | 
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|  | 125 | result = result && (*iter).first->Checkout(output, No++, (*iter).second); | 
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|  | 126 | } | 
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|  | 127 | return result; | 
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|  | 128 | } else | 
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|  | 129 | return false; | 
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|  | 130 | } | 
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|  | 131 |  | 
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| [a6d6a9] | 132 | unsigned int Formula::getElementCount() const{ | 
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| [6f43ab] | 133 | return numElements; | 
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|  | 134 | } | 
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|  | 135 |  | 
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|  | 136 | bool Formula::hasElement(const element *element) const{ | 
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|  | 137 | ASSERT(element,"Invalid pointer in Formula::hasElement(element*)"); | 
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|  | 138 | return hasElement(element->getNumber()); | 
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|  | 139 | } | 
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|  | 140 |  | 
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|  | 141 | bool Formula::hasElement(atomicNumber_t Z) const{ | 
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|  | 142 | ASSERT(Z>0,"Invalid atomic Number"); | 
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|  | 143 | ASSERT(World::getInstance().getPeriode()->FindElement(Z),"No Element with this number in Periodentafel"); | 
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|  | 144 | return elementCounts.size()>=Z && elementCounts[Z-1]; | 
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|  | 145 | } | 
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|  | 146 |  | 
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|  | 147 | bool Formula::hasElement(const string &shorthand) const{ | 
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|  | 148 | element * element = World::getInstance().getPeriode()->FindElement(shorthand); | 
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|  | 149 | return hasElement(element); | 
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|  | 150 | } | 
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|  | 151 |  | 
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|  | 152 | void Formula::operator+=(const element *element){ | 
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|  | 153 | ASSERT(element,"Invalid pointer in increment of Formula"); | 
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|  | 154 | operator+=(element->getNumber()); | 
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|  | 155 | } | 
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|  | 156 |  | 
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|  | 157 | void Formula::operator+=(atomicNumber_t Z){ | 
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|  | 158 | ASSERT(Z>0,"Invalid atomic Number"); | 
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|  | 159 | ASSERT(World::getInstance().getPeriode()->FindElement(Z),"No Element with this number in Periodentafel"); | 
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| [fefe0d] | 160 | elementCounts.resize(max<atomicNumber_t>(Z,elementCounts.size()),0); // No-op when we already have the right size | 
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| [6f43ab] | 161 | // might need to update number of elements | 
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|  | 162 | if(!elementCounts[Z-1]){ | 
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|  | 163 | numElements++; | 
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|  | 164 | } | 
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|  | 165 | elementCounts[Z-1]++;    // atomic numbers start at 1 | 
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|  | 166 | } | 
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|  | 167 |  | 
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|  | 168 | void Formula::operator+=(const string &shorthand){ | 
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|  | 169 | element * element = World::getInstance().getPeriode()->FindElement(shorthand); | 
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|  | 170 | operator+=(element); | 
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|  | 171 | } | 
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|  | 172 |  | 
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|  | 173 | void Formula::operator-=(const element *element){ | 
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|  | 174 | ASSERT(element,"Invalid pointer in decrement of Formula"); | 
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|  | 175 | operator-=(element->getNumber()); | 
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|  | 176 | } | 
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|  | 177 |  | 
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|  | 178 | void Formula::operator-=(atomicNumber_t Z){ | 
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|  | 179 | ASSERT(Z>0,"Invalid atomic Number"); | 
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|  | 180 | ASSERT(World::getInstance().getPeriode()->FindElement(Z),"No Element with this number in Periodentafel"); | 
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|  | 181 | ASSERT(elementCounts.size()>=Z && elementCounts[Z-1], "Element not in Formula upon decrement"); | 
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|  | 182 | elementCounts[Z-1]--;    // atomic numbers start at 1 | 
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|  | 183 | // might need to update number of elements | 
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|  | 184 | if(!elementCounts[Z-1]){ | 
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|  | 185 | numElements--; | 
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| [d8a0ec] | 186 | // resize the Array if this was at the last position | 
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|  | 187 | if(Z==elementCounts.size()){ | 
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|  | 188 | // find the first element from the back that is not equal to zero | 
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|  | 189 | set_t::reverse_iterator riter = find_if(elementCounts.rbegin(), | 
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|  | 190 | elementCounts.rend(), | 
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|  | 191 | bind1st(not_equal_to<mapped_type>(),0)); | 
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|  | 192 | // see how many elements are in this range | 
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|  | 193 | set_t::reverse_iterator::difference_type diff = riter - elementCounts.rbegin(); | 
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|  | 194 | elementCounts.resize(elementCounts.size()-diff); | 
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|  | 195 | } | 
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| [6f43ab] | 196 | } | 
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|  | 197 | } | 
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|  | 198 |  | 
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|  | 199 | void Formula::operator-=(const string &shorthand){ | 
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|  | 200 | element * element = World::getInstance().getPeriode()->FindElement(shorthand); | 
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|  | 201 | operator-=(element); | 
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|  | 202 | } | 
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|  | 203 |  | 
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| [d03bb1] | 204 | void Formula::addElements(const element *element,unsigned int count){ | 
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|  | 205 | ASSERT(element,"Invalid pointer in Formula::addElements(element*)"); | 
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|  | 206 | addElements(element->getNumber(),count); | 
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|  | 207 | } | 
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|  | 208 |  | 
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|  | 209 | void Formula::addElements(atomicNumber_t Z,unsigned int count){ | 
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|  | 210 | if(count==0) return; | 
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|  | 211 | ASSERT(Z>0,"Invalid atomic Number"); | 
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|  | 212 | ASSERT(World::getInstance().getPeriode()->FindElement(Z),"No Element with this number in Periodentafel"); | 
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| [fefe0d] | 213 | elementCounts.resize(max<atomicNumber_t>(Z,elementCounts.size()),0); // No-op when we already have the right size | 
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| [d03bb1] | 214 | // might need to update number of elements | 
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|  | 215 | if(!elementCounts[Z-1]){ | 
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|  | 216 | numElements++; | 
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|  | 217 | } | 
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|  | 218 | elementCounts[Z-1]+=count; | 
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|  | 219 | } | 
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|  | 220 |  | 
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|  | 221 | void Formula::addElements(const string &shorthand,unsigned int count){ | 
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|  | 222 | element * element = World::getInstance().getPeriode()->FindElement(shorthand); | 
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|  | 223 | addElements(element,count); | 
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|  | 224 | } | 
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|  | 225 |  | 
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| [9d5803] | 226 | void Formula::addFormula(const Formula &formula,unsigned int n){ | 
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|  | 227 | for(Formula::const_iterator iter=formula.begin();iter!=formula.end();++iter){ | 
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|  | 228 | this->addElements(iter->first,iter->second*n); | 
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|  | 229 | } | 
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|  | 230 | } | 
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|  | 231 |  | 
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| [426f2a] | 232 | enumeration<Formula::key_type> Formula::enumerateElements() const{ | 
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|  | 233 | enumeration<key_type> res(1); | 
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|  | 234 | for(Formula::const_iterator iter=begin();iter!=end();++iter){ | 
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|  | 235 | res.add(iter->first); | 
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|  | 236 | } | 
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|  | 237 | return res; | 
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|  | 238 | } | 
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|  | 239 |  | 
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| [a6d6a9] | 240 | const unsigned int Formula::operator[](const element *element) const{ | 
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| [6f43ab] | 241 | ASSERT(element,"Invalid pointer in access of Formula"); | 
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|  | 242 | return operator[](element->getNumber()); | 
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|  | 243 | } | 
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|  | 244 |  | 
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| [a6d6a9] | 245 | const unsigned int Formula::operator[](atomicNumber_t Z) const{ | 
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| [6f43ab] | 246 | ASSERT(Z>0,"Invalid atomic Number"); | 
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|  | 247 | ASSERT(World::getInstance().getPeriode()->FindElement(Z),"No Element with this number in Periodentafel"); | 
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| [a6d6a9] | 248 | if(elementCounts.size()<Z) | 
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|  | 249 | return 0; | 
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| [6f43ab] | 250 | return elementCounts[Z-1]; // atomic numbers start at 1 | 
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|  | 251 | } | 
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|  | 252 |  | 
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| [a6d6a9] | 253 | const unsigned int Formula::operator[](string shorthand) const{ | 
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| [6f43ab] | 254 | element * element = World::getInstance().getPeriode()->FindElement(shorthand); | 
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|  | 255 | return operator[](element); | 
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|  | 256 | } | 
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|  | 257 |  | 
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|  | 258 | bool Formula::operator==(const Formula &rhs) const{ | 
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|  | 259 | // quick check... number of elements used | 
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|  | 260 | if(numElements != rhs.numElements){ | 
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|  | 261 | return false; | 
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|  | 262 | } | 
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| [d8a0ec] | 263 | // second quick check, size of vectors (== last element in formula) | 
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|  | 264 | if(elementCounts.size()!=rhs.elementCounts.size()){ | 
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|  | 265 | return false; | 
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|  | 266 | } | 
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| [6f43ab] | 267 | // slow check: all elements | 
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|  | 268 | // direct access to internal structure means all element-counts have to be compared | 
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|  | 269 | // this avoids access to periodentafel to find elements though and is probably faster | 
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|  | 270 | // in total | 
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|  | 271 | return equal(elementCounts.begin(), | 
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|  | 272 | elementCounts.end(), | 
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|  | 273 | rhs.elementCounts.begin()); | 
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|  | 274 | } | 
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|  | 275 |  | 
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|  | 276 | bool Formula::operator!=(const Formula &rhs) const{ | 
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|  | 277 | return !operator==(rhs); | 
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|  | 278 | } | 
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|  | 279 |  | 
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|  | 280 | Formula::iterator Formula::begin(){ | 
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|  | 281 | return iterator(elementCounts,0); | 
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|  | 282 | } | 
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|  | 283 | Formula::const_iterator Formula::begin() const{ | 
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| [d8a0ec] | 284 | // this is the only place where this is needed, so this is better than making it mutable | 
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|  | 285 | return const_iterator(const_cast<set_t&>(elementCounts),0); | 
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| [6f43ab] | 286 | } | 
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|  | 287 | Formula::iterator Formula::end(){ | 
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|  | 288 | return iterator(elementCounts); | 
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|  | 289 | } | 
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|  | 290 | Formula::const_iterator Formula::end() const{ | 
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| [d8a0ec] | 291 | // this is the only place where this is needed, so this is better than making it mutable | 
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|  | 292 | return const_iterator(const_cast<set_t&>(elementCounts)); | 
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| [6f43ab] | 293 | } | 
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|  | 294 |  | 
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| [d03bb1] | 295 | void Formula::clear(){ | 
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|  | 296 | elementCounts.clear(); | 
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|  | 297 | numElements = 0; | 
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|  | 298 | } | 
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|  | 299 |  | 
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| [6f43ab] | 300 | /**************** Iterator structure ********************/ | 
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|  | 301 |  | 
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|  | 302 | template <class result_type> | 
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|  | 303 | Formula::_iterator<result_type>::_iterator(set_t &_set) : | 
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|  | 304 | set(&_set) | 
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|  | 305 | { | 
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|  | 306 | pos=set->size(); | 
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|  | 307 | } | 
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|  | 308 |  | 
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|  | 309 | template <class result_type> | 
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|  | 310 | Formula::_iterator<result_type>::_iterator(set_t &_set,size_t _pos) : | 
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|  | 311 | set(&_set),pos(_pos) | 
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|  | 312 | { | 
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|  | 313 | ASSERT(pos<=set->size(),"invalid position in iterator construction"); | 
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| [a6d6a9] | 314 | while(pos<set->size() && (*set)[pos]==0) ++pos; | 
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| [6f43ab] | 315 | } | 
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|  | 316 |  | 
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| [a6d6a9] | 317 | template <class result_type> | 
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|  | 318 | Formula::_iterator<result_type>::_iterator(const _iterator &rhs) : | 
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|  | 319 | set(rhs.set),pos(rhs.pos) | 
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|  | 320 | {} | 
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|  | 321 |  | 
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| [6f43ab] | 322 | template <class result_type> | 
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|  | 323 | Formula::_iterator<result_type>::~_iterator(){} | 
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|  | 324 |  | 
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|  | 325 | template <class result_type> | 
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|  | 326 | Formula::_iterator<result_type>& | 
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|  | 327 | Formula::_iterator<result_type>::operator=(const _iterator<result_type> &rhs){ | 
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|  | 328 | set=rhs.set; | 
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|  | 329 | pos=rhs.pos; | 
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|  | 330 | return *this; | 
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|  | 331 | } | 
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|  | 332 |  | 
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|  | 333 | template <class result_type> | 
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|  | 334 | bool | 
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|  | 335 | Formula::_iterator<result_type>::operator==(const _iterator<result_type> &rhs){ | 
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|  | 336 | return set==rhs.set && pos==rhs.pos; | 
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|  | 337 | } | 
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|  | 338 |  | 
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|  | 339 | template <class result_type> | 
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|  | 340 | bool | 
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|  | 341 | Formula::_iterator<result_type>::operator!=(const _iterator<result_type> &rhs){ | 
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|  | 342 | return !operator==(rhs); | 
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|  | 343 | } | 
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|  | 344 |  | 
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|  | 345 | template <class result_type> | 
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|  | 346 | Formula::_iterator<result_type> | 
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|  | 347 | Formula::_iterator<result_type>::operator++(){ | 
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|  | 348 | ASSERT(pos!=set->size(),"Incrementing Formula::iterator beyond end"); | 
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| [a6d6a9] | 349 | pos++; | 
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|  | 350 | while(pos<set->size() && (*set)[pos]==0) ++pos; | 
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| [6f43ab] | 351 | return *this; | 
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|  | 352 | } | 
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|  | 353 |  | 
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| [a6d6a9] | 354 | template <class result_type> | 
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|  | 355 | Formula::_iterator<result_type> | 
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|  | 356 | Formula::_iterator<result_type>::operator++(int){ | 
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|  | 357 | Formula::_iterator<result_type> retval = *this; | 
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|  | 358 | ++(*this); | 
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|  | 359 | return retval; | 
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|  | 360 | } | 
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|  | 361 |  | 
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| [6f43ab] | 362 | template <class result_type> | 
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|  | 363 | Formula::_iterator<result_type> | 
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|  | 364 | Formula::_iterator<result_type>::operator--(){ | 
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| [a6d6a9] | 365 | ASSERT(pos!=0,"Decrementing Formula::iterator beyond begin"); | 
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|  | 366 | pos--; | 
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|  | 367 | while(pos>0 && (*set)[pos]==0) --pos; | 
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| [6f43ab] | 368 | return *this; | 
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|  | 369 | } | 
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|  | 370 |  | 
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| [a6d6a9] | 371 | template <class result_type> | 
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|  | 372 | Formula::_iterator<result_type> | 
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|  | 373 | Formula::_iterator<result_type>::operator--(int){ | 
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|  | 374 | Formula::_iterator<result_type> retval = *this; | 
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|  | 375 | --(*this); | 
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|  | 376 | return retval; | 
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|  | 377 | } | 
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|  | 378 |  | 
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| [6f43ab] | 379 | template <class result_type> | 
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|  | 380 | result_type | 
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|  | 381 | Formula::_iterator<result_type>::operator*(){ | 
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|  | 382 | element *element = World::getInstance().getPeriode()->FindElement(pos+1); | 
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|  | 383 | ASSERT(element,"Element with position of iterator not found"); | 
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|  | 384 | return make_pair(element,(*set)[pos]); | 
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|  | 385 | } | 
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|  | 386 |  | 
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|  | 387 | template <class result_type> | 
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|  | 388 | result_type* | 
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|  | 389 | Formula::_iterator<result_type>::operator->(){ | 
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|  | 390 | // no one can keep this value around, so a static is ok to avoid temporaries | 
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|  | 391 | static value_type value=make_pair(reinterpret_cast<element*>(0),0); // no default constructor for std::pair | 
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|  | 392 | element *element = World::getInstance().getPeriode()->FindElement(pos+1); | 
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|  | 393 | ASSERT(element,"Element with position of iterator not found"); | 
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|  | 394 | value = make_pair(element,(*set)[pos]); | 
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|  | 395 | return &value; | 
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|  | 396 | } | 
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|  | 397 |  | 
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| [a6d6a9] | 398 | // explicit instantiation of all iterator template methods | 
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|  | 399 | // this is quite ugly, but there is no better way unless we expose iterator implementation | 
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|  | 400 |  | 
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|  | 401 | // instantiate Formula::iterator | 
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| [c83b98] | 402 | template Formula::iterator::_iterator(set_t&); | 
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|  | 403 | template Formula::iterator::_iterator(set_t&,size_t); | 
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|  | 404 | template Formula::iterator::_iterator(const Formula::iterator&); | 
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|  | 405 | template Formula::iterator::~_iterator(); | 
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|  | 406 | template Formula::iterator &Formula::iterator::operator=(const Formula::iterator&); | 
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|  | 407 | template bool Formula::iterator::operator==(const Formula::iterator&); | 
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|  | 408 | template bool Formula::iterator::operator!=(const Formula::iterator&); | 
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|  | 409 | template Formula::iterator Formula::iterator::operator++(); | 
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|  | 410 | template Formula::iterator Formula::iterator::operator++(int); | 
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|  | 411 | template Formula::iterator Formula::iterator::operator--(); | 
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|  | 412 | template Formula::iterator Formula::iterator::operator--(int); | 
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|  | 413 | template Formula::value_type Formula::iterator::operator*(); | 
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|  | 414 | template Formula::value_type *Formula::iterator::operator->(); | 
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| [a6d6a9] | 415 |  | 
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|  | 416 | // instantiate Formula::const_iterator | 
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| [c83b98] | 417 | template Formula::const_iterator::_iterator(set_t&); | 
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|  | 418 | template Formula::const_iterator::_iterator(set_t&,size_t); | 
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|  | 419 | template Formula::const_iterator::_iterator(const Formula::const_iterator&); | 
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|  | 420 | template Formula::const_iterator::~_iterator(); | 
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|  | 421 | template Formula::const_iterator &Formula::const_iterator::operator=(const Formula::const_iterator&); | 
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|  | 422 | template bool Formula::const_iterator::operator==(const Formula::const_iterator&); | 
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|  | 423 | template bool Formula::const_iterator::operator!=(const Formula::const_iterator&); | 
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|  | 424 | template Formula::const_iterator Formula::const_iterator::operator++(); | 
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|  | 425 | template Formula::Formula::const_iterator Formula::const_iterator::operator++(int); | 
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|  | 426 | template Formula::Formula::const_iterator Formula::const_iterator::operator--(); | 
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|  | 427 | template Formula::Formula::const_iterator Formula::const_iterator::operator--(int); | 
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|  | 428 | template const Formula::value_type Formula::const_iterator::operator*(); | 
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|  | 429 | template const Formula::value_type *Formula::const_iterator::operator->(); | 
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| [a6d6a9] | 430 |  | 
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| [6f43ab] | 431 | /********************** I/O of Formulas ************************************************/ | 
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|  | 432 |  | 
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|  | 433 | std::ostream &operator<<(std::ostream &ost,const Formula &formula){ | 
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|  | 434 | ost << formula.toString(); | 
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|  | 435 | return ost; | 
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|  | 436 | } | 
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