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csv.h
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csv.h
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// Copyright: (2012-2015) Ben Strasser <[email protected]>
// License: BSD-3
//
// All rights reserved.
//
// Redistribution and use in source and binary forms, with or without
// modification, are permitted provided that the following conditions are met:
//
// 1. Redistributions of source code must retain the above copyright notice,
// this list of conditions and the following disclaimer.
//
//2. Redistributions in binary form must reproduce the above copyright notice,
// this list of conditions and the following disclaimer in the documentation
// and/or other materials provided with the distribution.
//
//3. Neither the name of the copyright holder nor the names of its contributors
// may be used to endorse or promote products derived from this software
// without specific prior written permission.
//
// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
// AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
// IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
// ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE
// LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
// CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
// SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
// INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
// CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
// ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
// POSSIBILITY OF SUCH DAMAGE.
#ifndef CSV_H
#define CSV_H
#include <vector>
#include <string>
#include <cstring>
#include <algorithm>
#include <utility>
#include <cstdio>
#include <exception>
#ifndef CSV_IO_NO_THREAD
#include <mutex>
#include <thread>
#include <condition_variable>
#endif
#include <memory>
#include <cassert>
#include <cerrno>
#include <istream>
namespace io{
////////////////////////////////////////////////////////////////////////////
// LineReader //
////////////////////////////////////////////////////////////////////////////
namespace error{
struct base : std::exception{
virtual void format_error_message()const = 0;
const char*what()const noexcept override{
format_error_message();
return error_message_buffer;
}
mutable char error_message_buffer[512];
};
const int max_file_name_length = 255;
struct with_file_name{
with_file_name(){
std::memset(file_name, 0, sizeof(file_name));
}
void set_file_name(const char*file_name){
if(file_name != nullptr){
strncpy(this->file_name, file_name, sizeof(this->file_name));
this->file_name[sizeof(this->file_name)-1] = '\0';
}else{
this->file_name[0] = '\0';
}
}
char file_name[max_file_name_length+1];
};
struct with_file_line{
with_file_line(){
file_line = -1;
}
void set_file_line(int file_line){
this->file_line = file_line;
}
int file_line;
};
struct with_errno{
with_errno(){
errno_value = 0;
}
void set_errno(int errno_value){
this->errno_value = errno_value;
}
int errno_value;
};
struct can_not_open_file :
base,
with_file_name,
with_errno{
void format_error_message()const override{
if(errno_value != 0)
std::snprintf(error_message_buffer, sizeof(error_message_buffer),
"Can not open file \"%s\" because \"%s\"."
, file_name, std::strerror(errno_value));
else
std::snprintf(error_message_buffer, sizeof(error_message_buffer),
"Can not open file \"%s\"."
, file_name);
}
};
struct line_length_limit_exceeded :
base,
with_file_name,
with_file_line{
void format_error_message()const override{
std::snprintf(error_message_buffer, sizeof(error_message_buffer),
"Line number %d in file \"%s\" exceeds the maximum length of 2^24-1."
, file_line, file_name);
}
};
}
class ByteSourceBase{
public:
virtual int read(char*buffer, int size)=0;
virtual ~ByteSourceBase(){}
};
namespace detail{
class OwningStdIOByteSourceBase : public ByteSourceBase{
public:
explicit OwningStdIOByteSourceBase(FILE*file):file(file){
// Tell the std library that we want to do the buffering ourself.
std::setvbuf(file, 0, _IONBF, 0);
}
int read(char*buffer, int size){
return std::fread(buffer, 1, size, file);
}
~OwningStdIOByteSourceBase(){
std::fclose(file);
}
private:
FILE*file;
};
class NonOwningIStreamByteSource : public ByteSourceBase{
public:
explicit NonOwningIStreamByteSource(std::istream&in):in(in){}
int read(char*buffer, int size){
in.read(buffer, size);
return in.gcount();
}
~NonOwningIStreamByteSource(){}
private:
std::istream∈
};
class NonOwningStringByteSource : public ByteSourceBase{
public:
NonOwningStringByteSource(const char*str, long long size):str(str), remaining_byte_count(size){}
int read(char*buffer, int desired_byte_count){
int to_copy_byte_count = desired_byte_count;
if(remaining_byte_count < to_copy_byte_count)
to_copy_byte_count = remaining_byte_count;
std::memcpy(buffer, str, to_copy_byte_count);
remaining_byte_count -= to_copy_byte_count;
str += to_copy_byte_count;
return to_copy_byte_count;
}
~NonOwningStringByteSource(){}
private:
const char*str;
long long remaining_byte_count;
};
#ifndef CSV_IO_NO_THREAD
class AsynchronousReader{
public:
void init(std::unique_ptr<ByteSourceBase>arg_byte_source){
std::unique_lock<std::mutex>guard(lock);
byte_source = std::move(arg_byte_source);
desired_byte_count = -1;
termination_requested = false;
worker = std::thread(
[&]{
std::unique_lock<std::mutex>guard(lock);
try{
for(;;){
read_requested_condition.wait(
guard,
[&]{
return desired_byte_count != -1 || termination_requested;
}
);
if(termination_requested)
return;
read_byte_count = byte_source->read(buffer, desired_byte_count);
desired_byte_count = -1;
if(read_byte_count == 0)
break;
read_finished_condition.notify_one();
}
}catch(...){
read_error = std::current_exception();
}
read_finished_condition.notify_one();
}
);
}
bool is_valid()const{
return byte_source != nullptr;
}
void start_read(char*arg_buffer, int arg_desired_byte_count){
std::unique_lock<std::mutex>guard(lock);
buffer = arg_buffer;
desired_byte_count = arg_desired_byte_count;
read_byte_count = -1;
read_requested_condition.notify_one();
}
int finish_read(){
std::unique_lock<std::mutex>guard(lock);
read_finished_condition.wait(
guard,
[&]{
return read_byte_count != -1 || read_error;
}
);
if(read_error)
std::rethrow_exception(read_error);
else
return read_byte_count;
}
~AsynchronousReader(){
if(byte_source != nullptr){
{
std::unique_lock<std::mutex>guard(lock);
termination_requested = true;
}
read_requested_condition.notify_one();
worker.join();
}
}
private:
std::unique_ptr<ByteSourceBase>byte_source;
std::thread worker;
bool termination_requested;
std::exception_ptr read_error;
char*buffer;
int desired_byte_count;
int read_byte_count;
std::mutex lock;
std::condition_variable read_finished_condition;
std::condition_variable read_requested_condition;
};
#endif
class SynchronousReader{
public:
void init(std::unique_ptr<ByteSourceBase>arg_byte_source){
byte_source = std::move(arg_byte_source);
}
bool is_valid()const{
return byte_source != nullptr;
}
void start_read(char*arg_buffer, int arg_desired_byte_count){
buffer = arg_buffer;
desired_byte_count = arg_desired_byte_count;
}
int finish_read(){
return byte_source->read(buffer, desired_byte_count);
}
private:
std::unique_ptr<ByteSourceBase>byte_source;
char*buffer;
int desired_byte_count;
};
}
class LineReader{
private:
static const int block_len = 1<<20;
std::unique_ptr<char[]>buffer; // must be constructed before (and thus destructed after) the reader!
#ifdef CSV_IO_NO_THREAD
detail::SynchronousReader reader;
#else
detail::AsynchronousReader reader;
#endif
int data_begin;
int data_end;
char file_name[error::max_file_name_length+1];
unsigned file_line;
static std::unique_ptr<ByteSourceBase> open_file(const char*file_name){
// We open the file in binary mode as it makes no difference under *nix
// and under Windows we handle \r\n newlines ourself.
FILE*file = std::fopen(file_name, "rb");
if(file == 0){
int x = errno; // store errno as soon as possible, doing it after constructor call can fail.
error::can_not_open_file err;
err.set_errno(x);
err.set_file_name(file_name);
throw err;
}
return std::unique_ptr<ByteSourceBase>(new detail::OwningStdIOByteSourceBase(file));
}
void init(std::unique_ptr<ByteSourceBase>byte_source){
file_line = 0;
buffer = std::unique_ptr<char[]>(new char[3*block_len]);
data_begin = 0;
data_end = byte_source->read(buffer.get(), 2*block_len);
// Ignore UTF-8 BOM
if(data_end >= 3 && buffer[0] == '\xEF' && buffer[1] == '\xBB' && buffer[2] == '\xBF')
data_begin = 3;
if(data_end == 2*block_len){
reader.init(std::move(byte_source));
reader.start_read(buffer.get() + 2*block_len, block_len);
}
}
public:
LineReader() = delete;
LineReader(const LineReader&) = delete;
LineReader&operator=(const LineReader&) = delete;
explicit LineReader(const char*file_name){
set_file_name(file_name);
init(open_file(file_name));
}
explicit LineReader(const std::string&file_name){
set_file_name(file_name.c_str());
init(open_file(file_name.c_str()));
}
LineReader(const char*file_name, std::unique_ptr<ByteSourceBase>byte_source){
set_file_name(file_name);
init(std::move(byte_source));
}
LineReader(const std::string&file_name, std::unique_ptr<ByteSourceBase>byte_source){
set_file_name(file_name.c_str());
init(std::move(byte_source));
}
LineReader(const char*file_name, const char*data_begin, const char*data_end){
set_file_name(file_name);
init(std::unique_ptr<ByteSourceBase>(new detail::NonOwningStringByteSource(data_begin, data_end-data_begin)));
}
LineReader(const std::string&file_name, const char*data_begin, const char*data_end){
set_file_name(file_name.c_str());
init(std::unique_ptr<ByteSourceBase>(new detail::NonOwningStringByteSource(data_begin, data_end-data_begin)));
}
LineReader(const char*file_name, FILE*file){
set_file_name(file_name);
init(std::unique_ptr<ByteSourceBase>(new detail::OwningStdIOByteSourceBase(file)));
}
LineReader(const std::string&file_name, FILE*file){
set_file_name(file_name.c_str());
init(std::unique_ptr<ByteSourceBase>(new detail::OwningStdIOByteSourceBase(file)));
}
LineReader(const char*file_name, std::istream&in){
set_file_name(file_name);
init(std::unique_ptr<ByteSourceBase>(new detail::NonOwningIStreamByteSource(in)));
}
LineReader(const std::string&file_name, std::istream&in){
set_file_name(file_name.c_str());
init(std::unique_ptr<ByteSourceBase>(new detail::NonOwningIStreamByteSource(in)));
}
void set_file_name(const std::string&file_name){
set_file_name(file_name.c_str());
}
void set_file_name(const char*file_name){
if(file_name != nullptr){
strncpy(this->file_name, file_name, sizeof(this->file_name));
this->file_name[sizeof(this->file_name)-1] = '\0';
}else{
this->file_name[0] = '\0';
}
}
const char*get_truncated_file_name()const{
return file_name;
}
void set_file_line(unsigned file_line){
this->file_line = file_line;
}
unsigned get_file_line()const{
return file_line;
}
char*next_line(){
if(data_begin == data_end)
return nullptr;
++file_line;
assert(data_begin < data_end);
assert(data_end <= block_len*2);
if(data_begin >= block_len){
std::memcpy(buffer.get(), buffer.get()+block_len, block_len);
data_begin -= block_len;
data_end -= block_len;
if(reader.is_valid())
{
data_end += reader.finish_read();
std::memcpy(buffer.get()+block_len, buffer.get()+2*block_len, block_len);
reader.start_read(buffer.get() + 2*block_len, block_len);
}
}
int line_end = data_begin;
while(buffer[line_end] != '\n' && line_end != data_end){
++line_end;
}
if(line_end - data_begin + 1 > block_len){
error::line_length_limit_exceeded err;
err.set_file_name(file_name);
err.set_file_line(file_line);
throw err;
}
if(buffer[line_end] == '\n' && line_end != data_end){
buffer[line_end] = '\0';
}else{
// some files are missing the newline at the end of the
// last line
++data_end;
buffer[line_end] = '\0';
}
// handle windows \r\n-line breaks
if(line_end != data_begin && buffer[line_end-1] == '\r')
buffer[line_end-1] = '\0';
char*ret = buffer.get() + data_begin;
data_begin = line_end+1;
return ret;
}
};
////////////////////////////////////////////////////////////////////////////
// CSV //
////////////////////////////////////////////////////////////////////////////
namespace error{
const int max_column_name_length = 63;
struct with_column_name{
with_column_name(){
std::memset(column_name, 0, max_column_name_length+1);
}
void set_column_name(const char*column_name){
if(column_name != nullptr){
std::strncpy(this->column_name, column_name, max_column_name_length);
this->column_name[max_column_name_length] = '\0';
}else{
this->column_name[0] = '\0';
}
}
char column_name[max_column_name_length+1];
};
const int max_column_content_length = 63;
struct with_column_content{
with_column_content(){
std::memset(column_content, 0, max_column_content_length+1);
}
void set_column_content(const char*column_content){
if(column_content != nullptr){
std::strncpy(this->column_content, column_content, max_column_content_length);
this->column_content[max_column_content_length] = '\0';
}else{
this->column_content[0] = '\0';
}
}
char column_content[max_column_content_length+1];
};
struct extra_column_in_header :
base,
with_file_name,
with_column_name{
void format_error_message()const override{
std::snprintf(error_message_buffer, sizeof(error_message_buffer),
R"(Extra column "%s" in header of file "%s".)"
, column_name, file_name);
}
};
struct missing_column_in_header :
base,
with_file_name,
with_column_name{
void format_error_message()const override{
std::snprintf(error_message_buffer, sizeof(error_message_buffer),
R"(Missing column "%s" in header of file "%s".)"
, column_name, file_name);
}
};
struct duplicated_column_in_header :
base,
with_file_name,
with_column_name{
void format_error_message()const override{
std::snprintf(error_message_buffer, sizeof(error_message_buffer),
R"(Duplicated column "%s" in header of file "%s".)"
, column_name, file_name);
}
};
struct header_missing :
base,
with_file_name{
void format_error_message()const override{
std::snprintf(error_message_buffer, sizeof(error_message_buffer),
"Header missing in file \"%s\"."
, file_name);
}
};
struct too_few_columns :
base,
with_file_name,
with_file_line{
void format_error_message()const override{
std::snprintf(error_message_buffer, sizeof(error_message_buffer),
"Too few columns in line %d in file \"%s\"."
, file_line, file_name);
}
};
struct too_many_columns :
base,
with_file_name,
with_file_line{
void format_error_message()const override{
std::snprintf(error_message_buffer, sizeof(error_message_buffer),
"Too many columns in line %d in file \"%s\"."
, file_line, file_name);
}
};
struct escaped_string_not_closed :
base,
with_file_name,
with_file_line{
void format_error_message()const override{
std::snprintf(error_message_buffer, sizeof(error_message_buffer),
"Escaped string was not closed in line %d in file \"%s\"."
, file_line, file_name);
}
};
struct integer_must_be_positive :
base,
with_file_name,
with_file_line,
with_column_name,
with_column_content{
void format_error_message()const override{
std::snprintf(error_message_buffer, sizeof(error_message_buffer),
R"(The integer "%s" must be positive or 0 in column "%s" in file "%s" in line "%d".)"
, column_content, column_name, file_name, file_line);
}
};
struct no_digit :
base,
with_file_name,
with_file_line,
with_column_name,
with_column_content{
void format_error_message()const override{
std::snprintf(error_message_buffer, sizeof(error_message_buffer),
R"(The integer "%s" contains an invalid digit in column "%s" in file "%s" in line "%d".)"
, column_content, column_name, file_name, file_line);
}
};
struct integer_overflow :
base,
with_file_name,
with_file_line,
with_column_name,
with_column_content{
void format_error_message()const override{
std::snprintf(error_message_buffer, sizeof(error_message_buffer),
R"(The integer "%s" overflows in column "%s" in file "%s" in line "%d".)"
, column_content, column_name, file_name, file_line);
}
};
struct integer_underflow :
base,
with_file_name,
with_file_line,
with_column_name,
with_column_content{
void format_error_message()const override{
std::snprintf(error_message_buffer, sizeof(error_message_buffer),
R"(The integer "%s" underflows in column "%s" in file "%s" in line "%d".)"
, column_content, column_name, file_name, file_line);
}
};
struct invalid_single_character :
base,
with_file_name,
with_file_line,
with_column_name,
with_column_content{
void format_error_message()const override{
std::snprintf(error_message_buffer, sizeof(error_message_buffer),
R"(The content "%s" of column "%s" in file "%s" in line "%d" is not a single character.)"
, column_content, column_name, file_name, file_line);
}
};
}
using ignore_column = unsigned int;
static const ignore_column ignore_no_column = 0;
static const ignore_column ignore_extra_column = 1;
static const ignore_column ignore_missing_column = 2;
template<char ... trim_char_list>
struct trim_chars{
private:
constexpr static bool is_trim_char(char){
return false;
}
template<class ...OtherTrimChars>
constexpr static bool is_trim_char(char c, char trim_char, OtherTrimChars...other_trim_chars){
return c == trim_char || is_trim_char(c, other_trim_chars...);
}
public:
static void trim(char*&str_begin, char*&str_end){
while(str_begin != str_end && is_trim_char(*str_begin, trim_char_list...))
++str_begin;
while(str_begin != str_end && is_trim_char(*(str_end-1), trim_char_list...))
--str_end;
*str_end = '\0';
}
};
struct no_comment{
static bool is_comment(const char*){
return false;
}
};
template<char ... comment_start_char_list>
struct single_line_comment{
private:
constexpr static bool is_comment_start_char(char){
return false;
}
template<class ...OtherCommentStartChars>
constexpr static bool is_comment_start_char(char c, char comment_start_char, OtherCommentStartChars...other_comment_start_chars){
return c == comment_start_char || is_comment_start_char(c, other_comment_start_chars...);
}
public:
static bool is_comment(const char*line){
return is_comment_start_char(*line, comment_start_char_list...);
}
};
struct empty_line_comment{
static bool is_comment(const char*line){
if(*line == '\0')
return true;
while(*line == ' ' || *line == '\t'){
++line;
if(*line == 0)
return true;
}
return false;
}
};
template<char ... comment_start_char_list>
struct single_and_empty_line_comment{
static bool is_comment(const char*line){
return single_line_comment<comment_start_char_list...>::is_comment(line) || empty_line_comment::is_comment(line);
}
};
template<char sep>
struct no_quote_escape{
static const char*find_next_column_end(const char*col_begin){
while(*col_begin != sep && *col_begin != '\0')
++col_begin;
return col_begin;
}
static void unescape(char*&, char*&){
}
};
template<char sep, char quote>
struct double_quote_escape{
static const char*find_next_column_end(const char*col_begin){
while(*col_begin != sep && *col_begin != '\0')
if(*col_begin != quote)
++col_begin;
else{
do{
++col_begin;
while(*col_begin != quote){
if(*col_begin == '\0')
throw error::escaped_string_not_closed();
++col_begin;
}
++col_begin;
}while(*col_begin == quote);
}
return col_begin;
}
static void unescape(char*&col_begin, char*&col_end){
if(col_end - col_begin >= 2){
if(*col_begin == quote && *(col_end-1) == quote){
++col_begin;
--col_end;
char*out = col_begin;
for(char*in = col_begin; in!=col_end; ++in){
if(*in == quote && (in+1) != col_end && *(in+1) == quote){
++in;
}
*out = *in;
++out;
}
col_end = out;
*col_end = '\0';
}
}
}
};
struct throw_on_overflow{
template<class T>
static void on_overflow(T&){
throw error::integer_overflow();
}
template<class T>
static void on_underflow(T&){
throw error::integer_underflow();
}
};
struct ignore_overflow{
template<class T>
static void on_overflow(T&){}
template<class T>
static void on_underflow(T&){}
};
struct set_to_max_on_overflow{
template<class T>
static void on_overflow(T&x){
x = std::numeric_limits<T>::max();
}
template<class T>
static void on_underflow(T&x){
x = std::numeric_limits<T>::min();
}
};
namespace detail{
template<class quote_policy>
void chop_next_column(
char*&line, char*&col_begin, char*&col_end
){
assert(line != nullptr);
col_begin = line;
// the col_begin + (... - col_begin) removes the constness
col_end = col_begin + (quote_policy::find_next_column_end(col_begin) - col_begin);
if(*col_end == '\0'){
line = nullptr;
}else{
*col_end = '\0';
line = col_end + 1;
}
}
template<class trim_policy, class quote_policy>
void parse_line(
char*line,
char**sorted_col,
const std::vector<int>&col_order
){
for (int i : col_order) {
if(line == nullptr)
throw ::io::error::too_few_columns();
char*col_begin, *col_end;
chop_next_column<quote_policy>(line, col_begin, col_end);
if (i != -1) {
trim_policy::trim(col_begin, col_end);
quote_policy::unescape(col_begin, col_end);
sorted_col[i] = col_begin;
}
}
if(line != nullptr)
throw ::io::error::too_many_columns();
}
template<unsigned column_count, class trim_policy, class quote_policy>
void parse_header_line(
char*line,
std::vector<int>&col_order,
const std::string*col_name,
ignore_column ignore_policy
){
col_order.clear();
bool found[column_count];
std::fill(found, found + column_count, false);
while(line){
char*col_begin,*col_end;
chop_next_column<quote_policy>(line, col_begin, col_end);
trim_policy::trim(col_begin, col_end);
quote_policy::unescape(col_begin, col_end);
for(unsigned i=0; i<column_count; ++i)
if(col_begin == col_name[i]){
if(found[i]){
error::duplicated_column_in_header err;
err.set_column_name(col_begin);
throw err;
}
found[i] = true;
col_order.push_back(i);
col_begin = 0;
break;
}
if(col_begin){
if(ignore_policy & ::io::ignore_extra_column)
col_order.push_back(-1);
else{
error::extra_column_in_header err;
err.set_column_name(col_begin);
throw err;
}
}
}
if(!(ignore_policy & ::io::ignore_missing_column)){
for(unsigned i=0; i<column_count; ++i){
if(!found[i]){
error::missing_column_in_header err;
err.set_column_name(col_name[i].c_str());
throw err;
}
}
}
}
template<class overflow_policy>
void parse(char*col, char &x){
if(!*col)
throw error::invalid_single_character();
x = *col;
++col;
if(*col)
throw error::invalid_single_character();
}
template<class overflow_policy>
void parse(char*col, std::string&x){
x = col;
}
template<class overflow_policy>
void parse(char*col, const char*&x){
x = col;
}
template<class overflow_policy>
void parse(char*col, char*&x){
x = col;
}
template<class overflow_policy, class T>
void parse_unsigned_integer(const char*col, T&x){
x = 0;
while(*col != '\0'){
if('0' <= *col && *col <= '9'){
T y = *col - '0';
if(x > (std::numeric_limits<T>::max()-y)/10){
overflow_policy::on_overflow(x);
return;
}
x = 10*x+y;
}else
throw error::no_digit();
++col;
}
}
template<class overflow_policy>void parse(char*col, unsigned char &x)
{parse_unsigned_integer<overflow_policy>(col, x);}
template<class overflow_policy>void parse(char*col, unsigned short &x)
{parse_unsigned_integer<overflow_policy>(col, x);}
template<class overflow_policy>void parse(char*col, unsigned int &x)
{parse_unsigned_integer<overflow_policy>(col, x);}
template<class overflow_policy>void parse(char*col, unsigned long &x)
{parse_unsigned_integer<overflow_policy>(col, x);}
template<class overflow_policy>void parse(char*col, unsigned long long &x)
{parse_unsigned_integer<overflow_policy>(col, x);}
template<class overflow_policy, class T>
void parse_signed_integer(const char*col, T&x){
if(*col == '-'){
++col;
x = 0;
while(*col != '\0'){
if('0' <= *col && *col <= '9'){
T y = *col - '0';
if(x < (std::numeric_limits<T>::min()+y)/10){
overflow_policy::on_underflow(x);
return;