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cppcheck/lib/mathlib.cpp

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/*
* Cppcheck - A tool for static C/C++ code analysis
* Copyright (C) 2007-2023 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 <http://www.gnu.org/licenses/>.
*/
#include "mathlib.h"
#include "errortypes.h"
#include "utils.h"
#include <cctype>
#include <cmath>
#include <cstdint>
#include <cstdlib>
#include <exception>
#include <limits>
#include <locale>
#include <sstream>
#include <stdexcept>
#include <numeric>
#include <simplecpp.h>
const int MathLib::bigint_bits = 64;
MathLib::value::value(const std::string &s)
{
if (MathLib::isFloat(s)) {
mType = MathLib::value::Type::FLOAT;
mDoubleValue = MathLib::toDoubleNumber(s);
return;
}
if (!MathLib::isInt(s))
throw InternalError(nullptr, "Invalid value: " + s);
mType = MathLib::value::Type::INT;
mIntValue = MathLib::toLongNumber(s);
if (isIntHex(s) && mIntValue < 0)
mIsUnsigned = true;
// read suffix
if (s.size() >= 2U) {
for (std::size_t i = s.size() - 1U; i > 0U; --i) {
const char c = s[i];
if (c == 'u' || c == 'U')
mIsUnsigned = true;
else if (c == 'l' || c == 'L') {
if (mType == MathLib::value::Type::INT)
mType = MathLib::value::Type::LONG;
else if (mType == MathLib::value::Type::LONG)
mType = MathLib::value::Type::LONGLONG;
} else if (i > 2U && c == '4' && s[i-1] == '6' && s[i-2] == 'i')
mType = MathLib::value::Type::LONGLONG;
}
}
}
std::string MathLib::value::str() const
{
std::ostringstream ostr;
if (mType == MathLib::value::Type::FLOAT) {
if (std::isnan(mDoubleValue))
return "nan.0";
if (std::isinf(mDoubleValue))
return (mDoubleValue > 0) ? "inf.0" : "-inf.0";
ostr.precision(9);
ostr << std::fixed << mDoubleValue;
// remove trailing zeros
std::string ret(ostr.str());
std::string::size_type pos = ret.size() - 1U;
while (ret[pos] == '0')
pos--;
if (ret[pos] == '.')
++pos;
return ret.substr(0, pos+1);
}
if (mIsUnsigned)
ostr << static_cast<biguint>(mIntValue) << "U";
else
ostr << mIntValue;
if (mType == MathLib::value::Type::LONG)
ostr << "L";
else if (mType == MathLib::value::Type::LONGLONG)
ostr << "LL";
return ostr.str();
}
void MathLib::value::promote(const MathLib::value &v)
{
if (isInt() && v.isInt()) {
if (mType < v.mType) {
mType = v.mType;
mIsUnsigned = v.mIsUnsigned;
} else if (mType == v.mType) {
mIsUnsigned |= v.mIsUnsigned;
}
} else if (!isFloat()) {
mIsUnsigned = false;
mDoubleValue = mIntValue;
mType = MathLib::value::Type::FLOAT;
}
}
MathLib::value MathLib::value::calc(char op, const MathLib::value &v1, const MathLib::value &v2)
{
value temp(v1);
temp.promote(v2);
if (temp.isFloat()) {
switch (op) {
case '+':
temp.mDoubleValue += v2.getDoubleValue();
break;
case '-':
temp.mDoubleValue -= v2.getDoubleValue();
break;
case '*':
temp.mDoubleValue *= v2.getDoubleValue();
break;
case '/':
temp.mDoubleValue /= v2.getDoubleValue();
break;
case '%':
case '&':
case '|':
case '^':
throw InternalError(nullptr, "Invalid calculation");
default:
throw InternalError(nullptr, "Unhandled calculation");
}
} else if (temp.mIsUnsigned) {
switch (op) {
case '+':
temp.mIntValue += (unsigned long long)v2.mIntValue;
break;
case '-':
temp.mIntValue -= (unsigned long long)v2.mIntValue;
break;
case '*':
temp.mIntValue *= (unsigned long long)v2.mIntValue;
break;
case '/':
if (v2.mIntValue == 0)
throw InternalError(nullptr, "Internal Error: Division by zero");
if (v1.mIntValue == std::numeric_limits<bigint>::min() && std::abs(v2.mIntValue)<=1)
throw InternalError(nullptr, "Internal Error: Division overflow");
temp.mIntValue /= (unsigned long long)v2.mIntValue;
break;
case '%':
if (v2.mIntValue == 0)
throw InternalError(nullptr, "Internal Error: Division by zero");
temp.mIntValue %= (unsigned long long)v2.mIntValue;
break;
case '&':
temp.mIntValue &= (unsigned long long)v2.mIntValue;
break;
case '|':
temp.mIntValue |= (unsigned long long)v2.mIntValue;
break;
case '^':
temp.mIntValue ^= (unsigned long long)v2.mIntValue;
break;
default:
throw InternalError(nullptr, "Unhandled calculation");
}
} else {
switch (op) {
case '+':
temp.mIntValue += v2.mIntValue;
break;
case '-':
temp.mIntValue -= v2.mIntValue;
break;
case '*':
temp.mIntValue *= v2.mIntValue;
break;
case '/':
if (v2.mIntValue == 0)
throw InternalError(nullptr, "Internal Error: Division by zero");
if (v1.mIntValue == std::numeric_limits<bigint>::min() && std::abs(v2.mIntValue)<=1)
throw InternalError(nullptr, "Internal Error: Division overflow");
temp.mIntValue /= v2.mIntValue;
break;
case '%':
if (v2.mIntValue == 0)
throw InternalError(nullptr, "Internal Error: Division by zero");
temp.mIntValue %= v2.mIntValue;
break;
case '&':
temp.mIntValue &= v2.mIntValue;
break;
case '|':
temp.mIntValue |= v2.mIntValue;
break;
case '^':
temp.mIntValue ^= v2.mIntValue;
break;
default:
throw InternalError(nullptr, "Unhandled calculation");
}
}
return temp;
}
int MathLib::value::compare(const MathLib::value &v) const
{
value temp(*this);
temp.promote(v);
if (temp.isFloat()) {
if (temp.mDoubleValue < v.getDoubleValue())
return -1;
if (temp.mDoubleValue > v.getDoubleValue())
return 1;
return 0;
}
if (temp.mIsUnsigned) {
if ((unsigned long long)mIntValue < (unsigned long long)v.mIntValue)
return -1;
if ((unsigned long long)mIntValue > (unsigned long long)v.mIntValue)
return 1;
return 0;
}
if (mIntValue < v.mIntValue)
return -1;
if (mIntValue > v.mIntValue)
return 1;
return 0;
}
MathLib::value MathLib::value::add(int v) const
{
MathLib::value temp(*this);
if (temp.isInt())
temp.mIntValue += v;
else
temp.mDoubleValue += v;
return temp;
}
MathLib::value MathLib::value::shiftLeft(const MathLib::value &v) const
{
if (!isInt() || !v.isInt())
throw InternalError(nullptr, "Shift operand is not integer");
MathLib::value ret(*this);
if (v.mIntValue >= MathLib::bigint_bits) {
return ret;
}
ret.mIntValue <<= v.mIntValue;
return ret;
}
MathLib::value MathLib::value::shiftRight(const MathLib::value &v) const
{
if (!isInt() || !v.isInt())
throw InternalError(nullptr, "Shift operand is not integer");
MathLib::value ret(*this);
if (v.mIntValue >= MathLib::bigint_bits) {
return ret;
}
ret.mIntValue >>= v.mIntValue;
return ret;
}
// TODO: remove handling of non-literal stuff
MathLib::biguint MathLib::toULongNumber(const std::string & str)
{
// hexadecimal numbers:
if (isIntHex(str)) {
try {
const biguint ret = std::stoull(str, nullptr, 16);
return ret;
} catch (const std::out_of_range& /*e*/) {
throw InternalError(nullptr, "Internal Error. MathLib::toULongNumber: out_of_range: " + str);
} catch (const std::invalid_argument& /*e*/) {
throw InternalError(nullptr, "Internal Error. MathLib::toULongNumber: invalid_argument: " + str);
}
}
// octal numbers:
if (isOct(str)) {
try {
const biguint ret = std::stoull(str, nullptr, 8);
return ret;
} catch (const std::out_of_range& /*e*/) {
throw InternalError(nullptr, "Internal Error. MathLib::toULongNumber: out_of_range: " + str);
} catch (const std::invalid_argument& /*e*/) {
throw InternalError(nullptr, "Internal Error. MathLib::toULongNumber: invalid_argument: " + str);
}
}
// binary numbers:
if (isBin(str)) {
biguint ret = 0;
for (std::string::size_type i = str[0] == '0'?2:3; i < str.length(); i++) {
if (str[i] != '1' && str[i] != '0')
break;
ret <<= 1;
if (str[i] == '1')
ret |= 1;
}
if (str[0] == '-')
ret = -ret;
return ret;
}
if (isFloat(str)) {
// Things are going to be less precise now: the value can't be represented in the biguint type.
// Use min/max values as an approximation. See #5843
// TODO: bail out when we are out of range?
const double doubleval = toDoubleNumber(str);
if (doubleval > (double)std::numeric_limits<biguint>::max())
return std::numeric_limits<biguint>::max();
// cast to bigint to avoid UBSAN warning about negative double being out-of-range
return static_cast<biguint>(static_cast<bigint>(doubleval));
}
if (isCharLiteral(str))
return simplecpp::characterLiteralToLL(str);
try {
std::size_t idx = 0;
const biguint ret = std::stoull(str, &idx, 10);
if (idx != str.size()) {
const std::string s = str.substr(idx);
if (!isValidIntegerSuffix(s, true))
throw InternalError(nullptr, "Internal Error. MathLib::toULongNumber: input was not completely consumed: " + str);
}
return ret;
} catch (const std::out_of_range& /*e*/) {
throw InternalError(nullptr, "Internal Error. MathLib::toULongNumber: out_of_range: " + str);
} catch (const std::invalid_argument& /*e*/) {
throw InternalError(nullptr, "Internal Error. MathLib::toULongNumber: invalid_argument: " + str);
}
}
unsigned int MathLib::encodeMultiChar(const std::string& str)
{
return std::accumulate(str.cbegin(), str.cend(), uint32_t(), [](uint32_t v, char c) {
return (v << 8) | c;
});
}
// TODO: remove handling of non-literal stuff
MathLib::bigint MathLib::toLongNumber(const std::string & str)
{
// hexadecimal numbers:
if (isIntHex(str)) {
try {
const biguint ret = std::stoull(str, nullptr, 16);
return (bigint)ret;
} catch (const std::out_of_range& /*e*/) {
throw InternalError(nullptr, "Internal Error. MathLib::toLongNumber: out_of_range: " + str);
} catch (const std::invalid_argument& /*e*/) {
throw InternalError(nullptr, "Internal Error. MathLib::toLongNumber: invalid_argument: " + str);
}
}
// octal numbers:
if (isOct(str)) {
try {
const biguint ret = std::stoull(str, nullptr, 8);
return ret;
} catch (const std::out_of_range& /*e*/) {
throw InternalError(nullptr, "Internal Error. MathLib::toLongNumber: out_of_range: " + str);
} catch (const std::invalid_argument& /*e*/) {
throw InternalError(nullptr, "Internal Error. MathLib::toLongNumber: invalid_argument: " + str);
}
}
// binary numbers:
if (isBin(str)) {
bigint ret = 0;
for (std::string::size_type i = str[0] == '0'?2:3; i < str.length(); i++) {
if (str[i] != '1' && str[i] != '0')
break;
ret <<= 1;
if (str[i] == '1')
ret |= 1;
}
if (str[0] == '-')
ret = -ret;
return ret;
}
if (isFloat(str)) {
// Things are going to be less precise now: the value can't be represented in the bigint type.
// Use min/max values as an approximation. See #5843
// TODO: bail out when we are out of range?
const double doubleval = toDoubleNumber(str);
if (doubleval > (double)std::numeric_limits<bigint>::max())
return std::numeric_limits<bigint>::max();
if (doubleval < (double)std::numeric_limits<bigint>::min())
return std::numeric_limits<bigint>::min();
return static_cast<bigint>(doubleval);
}
if (isCharLiteral(str))
return simplecpp::characterLiteralToLL(str);
try {
std::size_t idx = 0;
const biguint ret = std::stoull(str, &idx, 10);
if (idx != str.size()) {
const std::string s = str.substr(idx);
if (!isValidIntegerSuffix(s, true))
throw InternalError(nullptr, "Internal Error. MathLib::toLongNumber: input was not completely consumed: " + str);
}
return ret;
} catch (const std::out_of_range& /*e*/) {
throw InternalError(nullptr, "Internal Error. MathLib::toLongNumber: out_of_range: " + str);
} catch (const std::invalid_argument& /*e*/) {
throw InternalError(nullptr, "Internal Error. MathLib::toLongNumber: invalid_argument: " + str);
}
}
// in-place conversion of (sub)string to double. Requires no heap.
static double myStod(const std::string& str, std::string::const_iterator from, std::string::const_iterator to, int base)
{
double result = 0.;
bool positivesign = true;
std::string::const_iterator it;
if ('+' == *from) {
it = from + 1;
} else if ('-' == *from) {
it = from + 1;
positivesign = false;
} else
it = from;
const std::size_t decimalsep = str.find('.', it-str.begin());
int distance;
if (std::string::npos == decimalsep) {
distance = to - it;
} else if (decimalsep > (to - str.begin()))
return 0.; // error handling??
else
distance = int(decimalsep)-(from - str.begin());
auto digitval = [&](char c) {
if ((10 < base) && (c > '9'))
return 10 + std::tolower(c) - 'a';
return c - '0';
};
for (; it!=to; ++it) {
if ('.' == *it)
continue;
--distance;
result += digitval(*it)* std::pow(base, distance);
}
return positivesign ? result : -result;
}
// Assuming a limited support of built-in hexadecimal floats (see C99, C++17) that is a fall-back implementation.
// Performance has been optimized WRT to heap activity, however the calculation part is not optimized.
static double floatHexToDoubleNumber(const std::string& str)
{
const std::size_t p = str.find_first_of("pP",3);
const double factor1 = myStod(str, str.cbegin() + 2, str.cbegin()+p, 16);
const bool suffix = (str.back() == 'f') || (str.back() == 'F') || (str.back() == 'l') || (str.back() == 'L');
const double exponent = myStod(str, str.cbegin() + p + 1, suffix ? str.cend()-1:str.cend(), 10);
const double factor2 = std::pow(2, exponent);
return factor1 * factor2;
}
double MathLib::toDoubleNumber(const std::string &str)
{
if (isCharLiteral(str)) {
try {
return simplecpp::characterLiteralToLL(str);
} catch (const std::exception& e) {
throw InternalError(nullptr, "Internal Error. MathLib::toDoubleNumber: characterLiteralToLL(" + str + ") => " + e.what());
}
}
if (isIntHex(str))
return static_cast<double>(toLongNumber(str));
#ifdef _LIBCPP_VERSION
if (isFloat(str)) // Workaround libc++ bug at https://github.com/llvm/llvm-project/issues/18156
// TODO: handle locale
// TODO: make sure all characters are being consumed
return std::strtod(str.c_str(), nullptr);
#endif
if (isFloatHex(str))
return floatHexToDoubleNumber(str);
// otherwise, convert to double
std::istringstream istr(str);
istr.imbue(std::locale::classic());
double ret;
if (!(istr >> ret))
throw InternalError(nullptr, "Internal Error. MathLib::toDoubleNumber: conversion failed: " + str);
std::string s;
if (istr >> s) {
if (isDecimalFloat(str))
return ret;
if (!isValidIntegerSuffix(s, true))
throw InternalError(nullptr, "Internal Error. MathLib::toDoubleNumber: input was not completely consumed: " + str);
}
return ret;
}
template<> std::string MathLib::toString<double>(double value)
{
std::ostringstream result;
result.precision(12);
result << value;
std::string s = result.str();
if (s == "-0")
return "0.0";
if (s.find_first_of(".e") == std::string::npos)
return s + ".0";
return s;
}
bool MathLib::isFloat(const std::string &str)
{
return isDecimalFloat(str) || isFloatHex(str);
}
bool MathLib::isDecimalFloat(const std::string &str)
{
if (str.empty())
return false;
enum class State {
START, BASE_DIGITS1, LEADING_DECIMAL, TRAILING_DECIMAL, BASE_DIGITS2, E, MANTISSA_PLUSMINUS, MANTISSA_DIGITS, SUFFIX_F, SUFFIX_L, SUFFIX_LITERAL_LEADER, SUFFIX_LITERAL
} state = State::START;
std::string::const_iterator it = str.cbegin();
if ('+' == *it || '-' == *it)
++it;
for (; it != str.cend(); ++it) {
switch (state) {
case State::START:
if (*it=='.')
state = State::LEADING_DECIMAL;
else if (std::isdigit(static_cast<unsigned char>(*it)))
state = State::BASE_DIGITS1;
else
return false;
break;
case State::LEADING_DECIMAL:
if (std::isdigit(static_cast<unsigned char>(*it)))
state = State::BASE_DIGITS2;
else
return false;
break;
case State::BASE_DIGITS1:
if (*it=='e' || *it=='E')
state = State::E;
else if (*it=='.')
state = State::TRAILING_DECIMAL;
else if (!std::isdigit(static_cast<unsigned char>(*it)))
return false;
break;
case State::TRAILING_DECIMAL:
if (*it=='e' || *it=='E')
state = State::E;
else if (*it=='f' || *it=='F')
state = State::SUFFIX_F;
else if (*it=='l' || *it=='L')
state = State::SUFFIX_L;
else if (*it == '_')
state = State::SUFFIX_LITERAL_LEADER;
else if (std::isdigit(static_cast<unsigned char>(*it)))
state = State::BASE_DIGITS2;
else
return false;
break;
case State::BASE_DIGITS2:
if (*it=='e' || *it=='E')
state = State::E;
else if (*it=='f' || *it=='F')
state = State::SUFFIX_F;
else if (*it=='l' || *it=='L')
state = State::SUFFIX_L;
else if (*it == '_')
state = State::SUFFIX_LITERAL_LEADER;
else if (!std::isdigit(static_cast<unsigned char>(*it)))
return false;
break;
case State::E:
if (*it=='+' || *it=='-')
state = State::MANTISSA_PLUSMINUS;
else if (std::isdigit(static_cast<unsigned char>(*it)))
state = State::MANTISSA_DIGITS;
else
return false;
break;
case State::MANTISSA_PLUSMINUS:
if (!std::isdigit(static_cast<unsigned char>(*it)))
return false;
else
state = State::MANTISSA_DIGITS;
break;
case State::MANTISSA_DIGITS:
if (*it=='f' || *it=='F')
state = State::SUFFIX_F;
else if (*it=='l' || *it=='L')
state = State::SUFFIX_L;
else if (!std::isdigit(static_cast<unsigned char>(*it)))
return false;
break;
// Ensure at least one post _ char for user defined literals
case State::SUFFIX_LITERAL:
case State::SUFFIX_LITERAL_LEADER:
state = State::SUFFIX_LITERAL;
break;
case State::SUFFIX_F:
return false;
case State::SUFFIX_L:
return false;
}
}
return (state==State::BASE_DIGITS2 || state==State::MANTISSA_DIGITS || state==State::TRAILING_DECIMAL || state==State::SUFFIX_F || state==State::SUFFIX_L || (state==State::SUFFIX_LITERAL));
}
bool MathLib::isNegative(const std::string &str)
{
if (str.empty())
return false;
return (str[0] == '-');
}
bool MathLib::isPositive(const std::string &str)
{
if (str.empty())
return false;
return !MathLib::isNegative(str);
}
static bool isValidIntegerSuffixIt(std::string::const_iterator it, std::string::const_iterator end, bool supportMicrosoftExtensions=true)
{
enum class Status { START, SUFFIX_U, SUFFIX_UL, SUFFIX_ULL, SUFFIX_UZ, SUFFIX_L, SUFFIX_LU, SUFFIX_LL, SUFFIX_LLU, SUFFIX_I, SUFFIX_I6, SUFFIX_I64, SUFFIX_UI, SUFFIX_UI6, SUFFIX_UI64, SUFFIX_Z, SUFFIX_LITERAL_LEADER, SUFFIX_LITERAL } state = Status::START;
for (; it != end; ++it) {
switch (state) {
case Status::START:
if (*it == 'u' || *it == 'U')
state = Status::SUFFIX_U;
else if (*it == 'l' || *it == 'L')
state = Status::SUFFIX_L;
else if (*it == 'z' || *it == 'Z')
state = Status::SUFFIX_Z;
else if (supportMicrosoftExtensions && (*it == 'i' || *it == 'I'))
state = Status::SUFFIX_I;
else if (*it == '_')
state = Status::SUFFIX_LITERAL_LEADER;
else
return false;
break;
case Status::SUFFIX_U:
if (*it == 'l' || *it == 'L')
state = Status::SUFFIX_UL; // UL
else if (*it == 'z' || *it == 'Z')
state = Status::SUFFIX_UZ; // UZ
else if (supportMicrosoftExtensions && (*it == 'i' || *it == 'I'))
state = Status::SUFFIX_UI;
else
return false;
break;
case Status::SUFFIX_UL:
if (*it == 'l' || *it == 'L')
state = Status::SUFFIX_ULL; // ULL
else
return false;
break;
case Status::SUFFIX_L:
if (*it == 'u' || *it == 'U')
state = Status::SUFFIX_LU; // LU
else if (*it == 'l' || *it == 'L')
state = Status::SUFFIX_LL; // LL
else
return false;
break;
case Status::SUFFIX_LU:
return false;
case Status::SUFFIX_LL:
if (*it == 'u' || *it == 'U')
state = Status::SUFFIX_LLU; // LLU
else
return false;
break;
case Status::SUFFIX_I:
if (*it == '6')
state = Status::SUFFIX_I6;
else
return false;
break;
case Status::SUFFIX_I6:
if (*it == '4')
state = Status::SUFFIX_I64;
else
return false;
break;
case Status::SUFFIX_UI:
if (*it == '6')
state = Status::SUFFIX_UI6;
else
return false;
break;
case Status::SUFFIX_UI6:
if (*it == '4')
state = Status::SUFFIX_UI64;
else
return false;
break;
case Status::SUFFIX_Z:
if (*it == 'u' || *it == 'U')
state = Status::SUFFIX_UZ;
else
return false;
break;
// Ensure at least one post _ char for user defined literals
case Status::SUFFIX_LITERAL:
case Status::SUFFIX_LITERAL_LEADER:
state = Status::SUFFIX_LITERAL;
break;
default:
return false;
}
}
return ((state == Status::SUFFIX_U) ||
(state == Status::SUFFIX_L) ||
(state == Status::SUFFIX_Z) ||
(state == Status::SUFFIX_UL) ||
(state == Status::SUFFIX_UZ) ||
(state == Status::SUFFIX_LU) ||
(state == Status::SUFFIX_LL) ||
(state == Status::SUFFIX_ULL) ||
(state == Status::SUFFIX_LLU) ||
(state == Status::SUFFIX_I64) ||
(state == Status::SUFFIX_UI64) ||
(state == Status::SUFFIX_LITERAL));
}
// cppcheck-suppress unusedFunction
bool MathLib::isValidIntegerSuffix(const std::string& str, bool supportMicrosoftExtensions)
{
return isValidIntegerSuffixIt(str.cbegin(), str.cend(), supportMicrosoftExtensions);
}
/*! \brief Does the string represent an octal number?
* In case leading or trailing white space is provided, the function
* returns false.
* Additional information can be found here:
* http://gcc.gnu.org/onlinedocs/gcc/Binary-constants.html
*
* \param str The string to check. In case the string is empty, the function returns false.
* \return Return true in case a octal number is provided and false otherwise.
**/
bool MathLib::isOct(const std::string& str)
{
enum class Status {
START, OCTAL_PREFIX, DIGITS
} state = Status::START;
if (str.empty())
return false;
std::string::const_iterator it = str.cbegin();
if ('+' == *it || '-' == *it)
++it;
for (; it != str.cend(); ++it) {
switch (state) {
case Status::START:
if (*it == '0')
state = Status::OCTAL_PREFIX;
else
return false;
break;
case Status::OCTAL_PREFIX:
if (isOctalDigit(static_cast<unsigned char>(*it)))
state = Status::DIGITS;
else
return false;
break;
case Status::DIGITS:
if (isOctalDigit(static_cast<unsigned char>(*it)))
state = Status::DIGITS;
else
return isValidIntegerSuffixIt(it,str.end());
break;
}
}
return state == Status::DIGITS;
}
bool MathLib::isIntHex(const std::string& str)
{
enum class Status {
START, HEX_0, HEX_X, DIGIT
} state = Status::START;
if (str.empty())
return false;
std::string::const_iterator it = str.cbegin();
if ('+' == *it || '-' == *it)
++it;
for (; it != str.cend(); ++it) {
switch (state) {
case Status::START:
if (*it == '0')
state = Status::HEX_0;
else
return false;
break;
case Status::HEX_0:
if (*it == 'x' || *it == 'X')
state = Status::HEX_X;
else
return false;
break;
case Status::HEX_X:
if (isxdigit(static_cast<unsigned char>(*it)))
state = Status::DIGIT;
else
return false;
break;
case Status::DIGIT:
if (isxdigit(static_cast<unsigned char>(*it)))
; // state = Status::DIGIT;
else
return isValidIntegerSuffixIt(it,str.end());
break;
}
}
return Status::DIGIT == state;
}
bool MathLib::isFloatHex(const std::string& str)
{
enum class Status {
START, HEX_0, HEX_X, WHOLE_NUMBER_DIGIT, POINT, FRACTION, EXPONENT_P, EXPONENT_SIGN, EXPONENT_DIGITS, EXPONENT_SUFFIX
} state = Status::START;
if (str.empty())
return false;
std::string::const_iterator it = str.cbegin();
if ('+' == *it || '-' == *it)
++it;
for (; it != str.cend(); ++it) {
switch (state) {
case Status::START:
if (*it == '0')
state = Status::HEX_0;
else
return false;
break;
case Status::HEX_0:
if (*it == 'x' || *it == 'X')
state = Status::HEX_X;
else
return false;
break;
case Status::HEX_X:
if (isxdigit(static_cast<unsigned char>(*it)))
state = Status::WHOLE_NUMBER_DIGIT;
else if (*it == '.')
state = Status::POINT;
else
return false;
break;
case Status::WHOLE_NUMBER_DIGIT:
if (isxdigit(static_cast<unsigned char>(*it)))
; // state = Status::WHOLE_NUMBER_DIGITS;
else if (*it=='.')
state = Status::FRACTION;
else if (*it=='p' || *it=='P')
state = Status::EXPONENT_P;
else
return false;
break;
case Status::POINT:
case Status::FRACTION:
if (isxdigit(static_cast<unsigned char>(*it)))
state = Status::FRACTION;
else if (*it == 'p' || *it == 'P')
state = Status::EXPONENT_P;
else
return false;
break;
case Status::EXPONENT_P:
if (isdigit(static_cast<unsigned char>(*it)))
state = Status::EXPONENT_DIGITS;
else if (*it == '+' || *it == '-')
state = Status::EXPONENT_SIGN;
else
return false;
break;
case Status::EXPONENT_SIGN:
if (isdigit(static_cast<unsigned char>(*it)))
state = Status::EXPONENT_DIGITS;
else
return false;
break;
case Status::EXPONENT_DIGITS:
if (isdigit(static_cast<unsigned char>(*it)))
; // state = Status::EXPONENT_DIGITS;
else if (*it == 'f' || *it == 'F' || *it == 'l' || *it == 'L')
state = Status::EXPONENT_SUFFIX;
else
return false;
break;
case Status::EXPONENT_SUFFIX:
return false;
}
}
return (Status::EXPONENT_DIGITS == state) || (Status::EXPONENT_SUFFIX == state);
}
/*! \brief Does the string represent a binary number?
* In case leading or trailing white space is provided, the function
* returns false.
* Additional information can be found here:
* http://gcc.gnu.org/onlinedocs/gcc/Binary-constants.html
*
* \param str The string to check. In case the string is empty, the function returns false.
* \return Return true in case a binary number is provided and false otherwise.
**/
bool MathLib::isBin(const std::string& str)
{
enum class Status {
START, GNU_BIN_PREFIX_0, GNU_BIN_PREFIX_B, DIGIT
} state = Status::START;
if (str.empty())
return false;
std::string::const_iterator it = str.cbegin();
if ('+' == *it || '-' == *it)
++it;
for (; it != str.cend(); ++it) {
switch (state) {
case Status::START:
if (*it == '0')
state = Status::GNU_BIN_PREFIX_0;
else
return false;
break;
case Status::GNU_BIN_PREFIX_0:
if (*it == 'b' || *it == 'B')
state = Status::GNU_BIN_PREFIX_B;
else
return false;
break;
case Status::GNU_BIN_PREFIX_B:
if (*it == '0' || *it == '1')
state = Status::DIGIT;
else
return false;
break;
case Status::DIGIT:
if (*it == '0' || *it == '1')
; // state = Status::DIGIT;
else
return isValidIntegerSuffixIt(it,str.end());
break;
}
}
return state == Status::DIGIT;
}
bool MathLib::isDec(const std::string & str)
{
enum class Status {
START, DIGIT
} state = Status::START;
if (str.empty())
return false;
std::string::const_iterator it = str.cbegin();
if ('+' == *it || '-' == *it)
++it;
for (; it != str.cend(); ++it) {
switch (state) {
case Status::START:
if (isdigit(static_cast<unsigned char>(*it)))
state = Status::DIGIT;
else
return false;
break;
case Status::DIGIT:
if (isdigit(static_cast<unsigned char>(*it)))
state = Status::DIGIT;
else
return isValidIntegerSuffixIt(it,str.end());
break;
}
}
return state == Status::DIGIT;
}
bool MathLib::isInt(const std::string & str)
{
return isDec(str) || isIntHex(str) || isOct(str) || isBin(str);
}
std::string MathLib::getSuffix(const std::string& value)
{
if (value.size() > 3 && value[value.size() - 3] == 'i' && value[value.size() - 2] == '6' && value[value.size() - 1] == '4') {
if (value[value.size() - 4] == 'u')
return "ULL";
return "LL";
}
bool isUnsigned = false;
unsigned int longState = 0;
for (std::size_t i = 1U; i < value.size(); ++i) {
const char c = value[value.size() - i];
if (c == 'u' || c == 'U')
isUnsigned = true;
else if (c == 'L' || c == 'l')
longState++;
else break;
}
if (longState == 0)
return isUnsigned ? "U" : "";
if (longState == 1)
return isUnsigned ? "UL" : "L";
if (longState == 2)
return isUnsigned ? "ULL" : "LL";
return "";
}
static std::string intsuffix(const std::string & first, const std::string & second)
{
const std::string suffix1 = MathLib::getSuffix(first);
const std::string suffix2 = MathLib::getSuffix(second);
if (suffix1 == "ULL" || suffix2 == "ULL")
return "ULL";
if (suffix1 == "LL" || suffix2 == "LL")
return "LL";
if (suffix1 == "UL" || suffix2 == "UL")
return "UL";
if (suffix1 == "L" || suffix2 == "L")
return "L";
if (suffix1 == "U" || suffix2 == "U")
return "U";
return suffix1.empty() ? suffix2 : suffix1;
}
std::string MathLib::add(const std::string & first, const std::string & second)
{
#ifdef TEST_MATHLIB_VALUE
return (value(first) + value(second)).str();
#else
if (MathLib::isInt(first) && MathLib::isInt(second)) {
return std::to_string(toLongNumber(first) + toLongNumber(second)) + intsuffix(first, second);
}
double d1 = toDoubleNumber(first);
double d2 = toDoubleNumber(second);
int count = 0;
while (d1 > 100000.0 * d2 && toString(d1+d2)==first && ++count<5)
d2 *= 10.0;
while (d2 > 100000.0 * d1 && toString(d1+d2)==second && ++count<5)
d1 *= 10.0;
return toString(d1 + d2);
#endif
}
std::string MathLib::subtract(const std::string &first, const std::string &second)
{
#ifdef TEST_MATHLIB_VALUE
return (value(first) - value(second)).str();
#else
if (MathLib::isInt(first) && MathLib::isInt(second)) {
return std::to_string(toLongNumber(first) - toLongNumber(second)) + intsuffix(first, second);
}
if (first == second)
return "0.0";
double d1 = toDoubleNumber(first);
double d2 = toDoubleNumber(second);
int count = 0;
while (d1 > 100000.0 * d2 && toString(d1-d2)==first && ++count<5)
d2 *= 10.0;
while (d2 > 100000.0 * d1 && toString(d1-d2)==second && ++count<5)
d1 *= 10.0;
return toString(d1 - d2);
#endif
}
std::string MathLib::divide(const std::string &first, const std::string &second)
{
#ifdef TEST_MATHLIB_VALUE
return (value(first) / value(second)).str();
#else
if (MathLib::isInt(first) && MathLib::isInt(second)) {
const bigint a = toLongNumber(first);
const bigint b = toLongNumber(second);
if (b == 0)
throw InternalError(nullptr, "Internal Error: Division by zero");
if (a == std::numeric_limits<bigint>::min() && std::abs(b)<=1)
throw InternalError(nullptr, "Internal Error: Division overflow");
return std::to_string(toLongNumber(first) / b) + intsuffix(first, second);
}
if (isNullValue(second)) {
if (isNullValue(first))
return "nan.0";
return isPositive(first) == isPositive(second) ? "inf.0" : "-inf.0";
}
return toString(toDoubleNumber(first) / toDoubleNumber(second));
#endif
}
std::string MathLib::multiply(const std::string &first, const std::string &second)
{
#ifdef TEST_MATHLIB_VALUE
return (value(first) * value(second)).str();
#else
if (MathLib::isInt(first) && MathLib::isInt(second)) {
return std::to_string(toLongNumber(first) * toLongNumber(second)) + intsuffix(first, second);
}
return toString(toDoubleNumber(first) * toDoubleNumber(second));
#endif
}
std::string MathLib::mod(const std::string &first, const std::string &second)
{
#ifdef TEST_MATHLIB_VALUE
return (value(first) % value(second)).str();
#else
if (MathLib::isInt(first) && MathLib::isInt(second)) {
const bigint b = toLongNumber(second);
if (b == 0)
throw InternalError(nullptr, "Internal Error: Division by zero");
return std::to_string(toLongNumber(first) % b) + intsuffix(first, second);
}
return toString(std::fmod(toDoubleNumber(first),toDoubleNumber(second)));
#endif
}
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);
case '%':
return MathLib::mod(first, second);
case '&':
return std::to_string(MathLib::toLongNumber(first) & MathLib::toLongNumber(second)) + intsuffix(first,second);
case '|':
return std::to_string(MathLib::toLongNumber(first) | MathLib::toLongNumber(second)) + intsuffix(first,second);
case '^':
return std::to_string(MathLib::toLongNumber(first) ^ MathLib::toLongNumber(second)) + intsuffix(first,second);
default:
throw InternalError(nullptr, std::string("Unexpected action '") + action + "' in MathLib::calculate(). Please report this to Cppcheck developers.");
}
}
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)
{
if (isNegative(tok))
return tok.substr(1, tok.length() - 1);
return tok;
}
bool MathLib::isEqual(const std::string &first, const std::string &second)
{
// this conversion is needed for formatting
// e.g. if first=0.1 and second=1.0E-1, the direct comparison of the strings would fail
return toString(toDoubleNumber(first)) == toString(toDoubleNumber(second));
}
bool MathLib::isNotEqual(const std::string &first, const std::string &second)
{
return !isEqual(first, second);
}
// cppcheck-suppress unusedFunction
bool MathLib::isGreater(const std::string &first, const std::string &second)
{
return toDoubleNumber(first) > toDoubleNumber(second);
}
// cppcheck-suppress unusedFunction
bool MathLib::isGreaterEqual(const std::string &first, const std::string &second)
{
return toDoubleNumber(first) >= toDoubleNumber(second);
}
// cppcheck-suppress unusedFunction
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);
}
/*! \brief Does the string represent the numerical value of 0?
* In case leading or trailing white space is provided, the function
* returns false.
* Requirement for this function:
* - This code is allowed to be slow because of simplicity of the code.
*
* \param[in] str The string to check. In case the string is empty, the function returns false.
* \return Return true in case the string represents a numerical null value.
**/
bool MathLib::isNullValue(const std::string &str)
{
if (str.empty() || (!std::isdigit(static_cast<unsigned char>(str[0])) && (str[0] != '.' && str[0] != '-' && str[0] != '+')))
return false; // Has to be a number
if (!isInt(str) && !isFloat(str))
return false;
const bool isHex = isIntHex(str) || isFloatHex(str);
for (const char i : str) {
if (std::isdigit(static_cast<unsigned char>(i)) && i != '0') // May not contain digits other than 0
return false;
if (i == 'p' || i == 'P' || (!isHex && (i == 'E' || i == 'e')))
return true;
if (isHex && isxdigit(i) && i != '0')
return false;
}
return true;
}
bool MathLib::isOctalDigit(char c)
{
return (c >= '0' && c <= '7');
}
bool MathLib::isDigitSeparator(const std::string& iCode, std::string::size_type iPos)
{
if (iPos == 0 || iPos >= iCode.size() || iCode[iPos] != '\'')
return false;
std::string::size_type i = iPos - 1;
while (std::isxdigit(iCode[i])) {
if (i == 0)
return true; // Only xdigits before '
--i;
}
if (i == iPos - 1) // No xdigit before '
return false;
switch (iCode[i]) {
case ' ':
case '.':
case ',':
case 'x':
case '(':
case '{':
case '+':
case '-':
case '*':
case '%':
case '/':
case '&':
case '|':
case '^':
case '~':
case '=':
return true;
case '\'':
return isDigitSeparator(iCode, i);
default:
return false;
}
}
MathLib::value operator+(const MathLib::value &v1, const MathLib::value &v2)
{
return MathLib::value::calc('+',v1,v2);
}
MathLib::value operator-(const MathLib::value &v1, const MathLib::value &v2)
{
return MathLib::value::calc('-',v1,v2);
}
MathLib::value operator*(const MathLib::value &v1, const MathLib::value &v2)
{
return MathLib::value::calc('*',v1,v2);
}
MathLib::value operator/(const MathLib::value &v1, const MathLib::value &v2)
{
return MathLib::value::calc('/',v1,v2);
}
MathLib::value operator%(const MathLib::value &v1, const MathLib::value &v2)
{
return MathLib::value::calc('%',v1,v2);
}
MathLib::value operator&(const MathLib::value &v1, const MathLib::value &v2)
{
return MathLib::value::calc('&',v1,v2);
}
MathLib::value operator|(const MathLib::value &v1, const MathLib::value &v2)
{
return MathLib::value::calc('|',v1,v2);
}
MathLib::value operator^(const MathLib::value &v1, const MathLib::value &v2)
{
return MathLib::value::calc('^',v1,v2);
}
MathLib::value operator<<(const MathLib::value &v1, const MathLib::value &v2)
{
return v1.shiftLeft(v2);
}
MathLib::value operator>>(const MathLib::value &v1, const MathLib::value &v2)
{
return v1.shiftRight(v2);
}
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