/* * Cppcheck - A tool for static C/C++ code analysis * Copyright (C) 2007-2012 Daniel Marjamäki and Cppcheck team. * * This program is free software: you can redistribute it and/or modify * it under the terms of the GNU General Public License as published by * the Free Software Foundation, either version 3 of the License, or * (at your option) any later version. * * This program is distributed in the hope that it will be useful, * but WITHOUT ANY WARRANTY; without even the implied warranty of * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * GNU General Public License for more details. * * You should have received a copy of the GNU General Public License * along with this program. If not, see . */ #include "mathlib.h" #include "errorlogger.h" #include #include #include #include #include MathLib::bigint MathLib::toLongNumber(const std::string &str) { // hexadecimal numbers: if (isHex(str)) { bigint ret = 0; std::istringstream istr(str); istr >> std::hex >> ret; return ret; } // octal numbers: if (isOct(str)) { bigint ret = 0; std::istringstream istr(str); istr >> std::oct >> ret; return ret; } if (str.find_first_of("eE") != std::string::npos) return static_cast(std::atof(str.c_str())); bigint ret = 0; std::istringstream istr(str); istr >> ret; return ret; } double MathLib::toDoubleNumber(const std::string &str) { if (isHex(str)) return static_cast(toLongNumber(str)); // nullcheck else if (isNullValue(str)) return 0.0; // otherwise, convert to double std::istringstream istr(str); double ret; istr >> ret; return ret; } bool MathLib::isFloat(const std::string &s) { // every number that contains a . is a float if (s.find("." , 0) != std::string::npos) return true; // scientific notation return(s.find("E-", 0) != std::string::npos || s.find("e-", 0) != std::string::npos); } bool MathLib::isNegative(const std::string &s) { // remember position std::string::size_type n = 0; // eat up whitespace while (std::isspace(s[n])) ++n; // every negative number has a negative sign return(s[n] == '-'); } bool MathLib::isOct(const std::string& str) { bool sign = str[0]=='-' || str[0]=='+'; return(str[sign?1:0] == '0' && (str.size() == 1 || isOctalDigit(str[sign?2:1])) && !isFloat(str)); } bool MathLib::isHex(const std::string& str) { bool sign = str[0]=='-' || str[0]=='+'; return(str.compare(sign?1:0, 2, "0x") == 0 || str.compare(sign?1:0, 2, "0X") == 0); } bool MathLib::isInt(const std::string & s) { // perform prechecks: // ------------------ // first check, if a point is found, it is an floating point value if (s.find(".", 0) != std::string::npos) return false; // check for scientific notation e.g. NumberE-Number this is obvious an floating point value else if (s.find("E-", 0) != std::string::npos || s.find("e-", 0) != std::string::npos) return false; // prechecking has nothing found,... // gather information enum Representation { eScientific = 0, // NumberE+Number or NumberENumber eOctal, // starts with 0 eHex, // starts with 0x eDefault // Numbers with a (possible) trailing u or U or l or L for unsigned or long datatypes }; // create an instance Representation Mode = eDefault; // remember position unsigned long n = 0; // eat up whitespace while (std::isspace(s[n])) ++n; // determine type if (s.find("E", 0) != std::string::npos) { Mode = eScientific; } else if (isHex(s)) { Mode = eHex; } else if (isOct(s)) { Mode = eOctal; } // check sign if (s[n] == '-' || s[n] == '+') ++n; // check scientific notation if (Mode == eScientific) { // check digits while (std::isdigit(s[n])) ++n; // check scientific notation if (std::tolower(s[n]) == 'e') { ++n; // check positive exponent if (s[n] == '+') ++n; // floating pointer number e.g. 124E-2 if (s[n] == '-') return false; // check digits of the exponent while (std::isdigit(s[n])) ++n; } } // check hex notation else if (Mode == eHex) { ++n; // 0 ++n; // x while (std::isxdigit(s[n])) ++n; while (std::tolower(s[n]) == 'u' || std::tolower(s[n]) == 'l') ++n; // unsigned or long (long) } // check octal notation else if (Mode == eOctal) { ++n; // 0 while (isOctalDigit(s[n])) ++n; while (std::tolower(s[n]) == 'u' || std::tolower(s[n]) == 'l') ++n; // unsigned or long (long) } else if (Mode == eDefault) { // starts with digit bool bStartsWithDigit=false; while (std::isdigit(s[n])) { bStartsWithDigit=true; ++n; }; while (std::tolower(s[n]) == 'u' || std::tolower(s[n]) == 'l') ++n; // unsigned or long (long) if (!bStartsWithDigit) return false; } // eat up whitespace while (std::isspace(s[n])) ++n; // if everything goes good, we are at the end of the string and no digits/character // is here --> return true, but if something was found eg. 12E+12AA return false return(n >= s.length()); } std::string MathLib::add(const std::string & first, const std::string & second) { if (MathLib::isInt(first) && MathLib::isInt(second)) { return toString(toLongNumber(first) + toLongNumber(second)); } return toString(toDoubleNumber(first) + toDoubleNumber(second)); } std::string MathLib::subtract(const std::string &first, const std::string &second) { if (MathLib::isInt(first) && MathLib::isInt(second)) { return toString(toLongNumber(first) - toLongNumber(second)); } return toString(toDoubleNumber(first) - toDoubleNumber(second)); } std::string MathLib::divide(const std::string &first, const std::string &second) { if (MathLib::isInt(first) && MathLib::isInt(second)) { return toString(toLongNumber(first) / toLongNumber(second)); } return toString(toDoubleNumber(first) / toDoubleNumber(second)); } std::string MathLib::multiply(const std::string &first, const std::string &second) { if (MathLib::isInt(first) && MathLib::isInt(second)) { return toString(toLongNumber(first) * toLongNumber(second)); } return toString(toDoubleNumber(first) * toDoubleNumber(second)); } std::string MathLib::calculate(const std::string &first, const std::string &second, char action) { switch (action) { case '+': return MathLib::add(first, second); case '-': return MathLib::subtract(first, second); case '*': return MathLib::multiply(first, second); case '/': return MathLib::divide(first, second); default: throw InternalError(0, std::string("Unexpected action '") + action + "' in MathLib::calculate(). Please report this to Cppcheck developers."); } return "0"; } std::string MathLib::sin(const std::string &tok) { return toString(std::sin(toDoubleNumber(tok))); } std::string MathLib::cos(const std::string &tok) { return toString(std::cos(toDoubleNumber(tok))); } std::string MathLib::tan(const std::string &tok) { return toString(std::tan(toDoubleNumber(tok))); } std::string MathLib::abs(const std::string &tok) { return toString(std::abs(toDoubleNumber(tok))); } bool MathLib::isEqual(const std::string &first, const std::string &second) { // this conversion is needed for formating // e.g. if first=0.1 and second=1.0E-1, the direct comparison of the strings whould fail return toString(toDoubleNumber(first)) == toString(toDoubleNumber(second)); } bool MathLib::isNotEqual(const std::string &first, const std::string &second) { return !isEqual(first, second); } bool MathLib::isGreater(const std::string &first, const std::string &second) { return toDoubleNumber(first) > toDoubleNumber(second); } bool MathLib::isGreaterEqual(const std::string &first, const std::string &second) { return toDoubleNumber(first) >= toDoubleNumber(second); } bool MathLib::isLess(const std::string &first, const std::string &second) { return toDoubleNumber(first) < toDoubleNumber(second); } bool MathLib::isLessEqual(const std::string &first, const std::string &second) { return toDoubleNumber(first) <= toDoubleNumber(second); } bool MathLib::isNullValue(const std::string &str) { return (str == "-0" || str == "0" || str == "+0" || str == "-0.0" || str == "0.0" || str == "+0.0" || str == "-0." || str == "+0." || str == "-0E-00" || str == "-0E+00" || str == "+0E+00" || str == "+0E-00" || str == "-0e-00" || str == "-0e+00" || str == "+0e+00" || str == "+0e-00" || str == "-0E-0"); } bool MathLib::isOctalDigit(char c) { return(c == '0' || c == '1' || c == '2' || c == '3' || c == '4' || c == '5' || c == '6' || c == '7'); }