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#pragma once
#include <type_traits>
#include <IO/ReadHelpers.h>
#include <Core/Defines.h>
#include <base/shift10.h>
#include <Common/StringUtils/StringUtils.h>
#include <double-conversion/double-conversion.h>
#ifdef __clang__
#pragma clang diagnostic push
#pragma clang diagnostic ignored "-Wunneeded-internal-declaration"
#endif
#include <fast_float/fast_float.h>
#ifdef __clang__
#pragma clang diagnostic pop
#endif
/** Methods for reading floating point numbers from text with decimal representation.
* There are "precise", "fast" and "simple" implementations.
*
* Neither of methods support hexadecimal numbers (0xABC), binary exponent (1p100), leading plus sign.
*
* Precise method always returns a number that is the closest machine representable number to the input.
*
* Fast method is faster (up to 3 times) and usually return the same value,
* but in rare cases result may differ by lest significant bit (for Float32)
* and by up to two least significant bits (for Float64) from precise method.
* Also fast method may parse some garbage as some other unspecified garbage.
*
* Simple method is little faster for cases of parsing short (few digit) integers, but less precise and slower in other cases.
* It's not recommended to use simple method and it is left only for reference.
*
* For performance test, look at 'read_float_perf' test.
*
* For precision test.
* Parse all existing Float32 numbers:
CREATE TABLE test.floats ENGINE = Log AS SELECT reinterpretAsFloat32(reinterpretAsString(toUInt32(number))) AS x FROM numbers(0x100000000);
WITH
toFloat32(toString(x)) AS y,
reinterpretAsUInt32(reinterpretAsString(x)) AS bin_x,
reinterpretAsUInt32(reinterpretAsString(y)) AS bin_y,
abs(bin_x - bin_y) AS diff
SELECT
diff,
count()
FROM test.floats
WHERE NOT isNaN(x)
GROUP BY diff
ORDER BY diff ASC
LIMIT 100
* Here are the results:
*
Precise:
┌─diff─┬────count()─┐
│ 0 │ 4278190082 │
└──────┴────────────┘
(100% roundtrip property)
Fast:
┌─diff─┬────count()─┐
│ 0 │ 3685260580 │
│ 1 │ 592929502 │
└──────┴────────────┘
(The difference is 1 in least significant bit in 13.8% of numbers.)
Simple:
┌─diff─┬────count()─┐
│ 0 │ 2169879994 │
│ 1 │ 1807178292 │
│ 2 │ 269505944 │
│ 3 │ 28826966 │
│ 4 │ 2566488 │
│ 5 │ 212878 │
│ 6 │ 18276 │
│ 7 │ 1214 │
│ 8 │ 30 │
└──────┴────────────┘
* Parse random Float64 numbers:
WITH
rand64() AS bin_x,
reinterpretAsFloat64(reinterpretAsString(bin_x)) AS x,
toFloat64(toString(x)) AS y,
reinterpretAsUInt64(reinterpretAsString(y)) AS bin_y,
abs(bin_x - bin_y) AS diff
SELECT
diff,
count()
FROM numbers(100000000)
WHERE NOT isNaN(x)
GROUP BY diff
ORDER BY diff ASC
LIMIT 100
*/
namespace DB
{
namespace ErrorCodes
{
extern const int CANNOT_PARSE_NUMBER;
}
/// Returns true, iff parsed.
bool parseInfinity(ReadBuffer & buf);
bool parseNaN(ReadBuffer & buf);
void assertInfinity(ReadBuffer & buf);
void assertNaN(ReadBuffer & buf);
template <bool throw_exception>
bool assertOrParseInfinity(ReadBuffer & buf)
{
if constexpr (throw_exception)
{
assertInfinity(buf);
return true;
}
else
return parseInfinity(buf);
}
template <bool throw_exception>
bool assertOrParseNaN(ReadBuffer & buf)
{
if constexpr (throw_exception)
{
assertNaN(buf);
return true;
}
else
return parseNaN(buf);
}
template <typename T, typename ReturnType>
ReturnType readFloatTextPreciseImpl(T & x, ReadBuffer & buf)
{
static_assert(std::is_same_v<T, double> || std::is_same_v<T, float>, "Argument for readFloatTextPreciseImpl must be float or double");
static_assert('a' > '.' && 'A' > '.' && '\n' < '.' && '\t' < '.' && '\'' < '.' && '"' < '.', "Layout of char is not like ASCII");
static constexpr bool throw_exception = std::is_same_v<ReturnType, void>;
/// Fast path (avoid copying) if the buffer have at least MAX_LENGTH bytes.
static constexpr int MAX_LENGTH = 316;
if (likely(!buf.eof() && buf.position() + MAX_LENGTH <= buf.buffer().end()))
{
auto * initial_position = buf.position();
auto res = fast_float::from_chars(initial_position, buf.buffer().end(), x);
if (unlikely(res.ec != std::errc()))
{
if constexpr (throw_exception)
throw ParsingException(ErrorCodes::CANNOT_PARSE_NUMBER, "Cannot read floating point value");
else
return ReturnType(false);
}
buf.position() += res.ptr - initial_position;
return ReturnType(true);
}
else
{
/// Slow path. Copy characters that may be present in floating point number to temporary buffer.
bool negative = false;
/// We check eof here because we can parse +inf +nan
while (!buf.eof())
{
switch (*buf.position())
{
case '+':
++buf.position();
continue;
case '-':
{
negative = true;
++buf.position();
continue;
}
case 'i': [[fallthrough]];
case 'I':
{
if (assertOrParseInfinity<throw_exception>(buf))
{
x = std::numeric_limits<T>::infinity();
if (negative)
x = -x;
return ReturnType(true);
}
return ReturnType(false);
}
case 'n': [[fallthrough]];
case 'N':
{
if (assertOrParseNaN<throw_exception>(buf))
{
x = std::numeric_limits<T>::quiet_NaN();
if (negative)
x = -x;
return ReturnType(true);
}
return ReturnType(false);
}
default:
break;
}
break;
}
char tmp_buf[MAX_LENGTH];
int num_copied_chars = 0;
while (!buf.eof() && num_copied_chars < MAX_LENGTH)
{
char c = *buf.position();
if (!(isNumericASCII(c) || c == '-' || c == '+' || c == '.' || c == 'e' || c == 'E'))
break;
tmp_buf[num_copied_chars] = c;
++buf.position();
++num_copied_chars;
}
auto res = fast_float::from_chars(tmp_buf, tmp_buf + num_copied_chars, x);
if (unlikely(res.ec != std::errc()))
{
if constexpr (throw_exception)
throw ParsingException(ErrorCodes::CANNOT_PARSE_NUMBER, "Cannot read floating point value");
else
return ReturnType(false);
}
if (negative)
x = -x;
return ReturnType(true);
}
}
// credit: https://johnnylee-sde.github.io/Fast-numeric-string-to-int/
static inline bool is_made_of_eight_digits_fast(uint64_t val) noexcept
{
return (((val & 0xF0F0F0F0F0F0F0F0) | (((val + 0x0606060606060606) & 0xF0F0F0F0F0F0F0F0) >> 4)) == 0x3333333333333333);
}
static inline bool is_made_of_eight_digits_fast(const char * chars) noexcept
{
uint64_t val;
::memcpy(&val, chars, 8);
return is_made_of_eight_digits_fast(val);
}
template <size_t N, typename T>
static inline void readUIntTextUpToNSignificantDigits(T & x, ReadBuffer & buf)
{
/// In optimistic case we can skip bound checking for first loop.
if (buf.position() + N <= buf.buffer().end())
{
for (size_t i = 0; i < N; ++i)
{
if (isNumericASCII(*buf.position()))
{
x *= 10;
x += *buf.position() & 0x0F;
++buf.position();
}
else
return;
}
}
else
{
for (size_t i = 0; i < N; ++i)
{
if (!buf.eof() && isNumericASCII(*buf.position()))
{
x *= 10;
x += *buf.position() & 0x0F;
++buf.position();
}
else
return;
}
}
while (!buf.eof() && (buf.position() + 8 <= buf.buffer().end()) &&
is_made_of_eight_digits_fast(buf.position()))
{
buf.position() += 8;
}
while (!buf.eof() && isNumericASCII(*buf.position()))
++buf.position();
}
template <typename T, typename ReturnType>
ReturnType readFloatTextFastImpl(T & x, ReadBuffer & in)
{
static_assert(std::is_same_v<T, double> || std::is_same_v<T, float>, "Argument for readFloatTextImpl must be float or double");
static_assert('a' > '.' && 'A' > '.' && '\n' < '.' && '\t' < '.' && '\'' < '.' && '"' < '.', "Layout of char is not like ASCII");
static constexpr bool throw_exception = std::is_same_v<ReturnType, void>;
bool negative = false;
x = 0;
UInt64 before_point = 0;
UInt64 after_point = 0;
int after_point_exponent = 0;
int exponent = 0;
if (in.eof())
{
if constexpr (throw_exception)
throw ParsingException(ErrorCodes::CANNOT_PARSE_NUMBER, "Cannot read floating point value");
else
return false;
}
if (*in.position() == '-')
{
negative = true;
++in.position();
}
else if (*in.position() == '+')
++in.position();
auto count_after_sign = in.count();
constexpr int significant_digits = std::numeric_limits<UInt64>::digits10;
readUIntTextUpToNSignificantDigits<significant_digits>(before_point, in);
size_t read_digits = in.count() - count_after_sign;
if (unlikely(read_digits > significant_digits))
{
int before_point_additional_exponent = static_cast<int>(read_digits) - significant_digits;
x = static_cast<T>(shift10(before_point, before_point_additional_exponent));
}
else
{
x = before_point;
/// Shortcut for the common case when there is an integer that fit in Int64.
if (read_digits && (in.eof() || *in.position() < '.'))
{
if (negative)
x = -x;
return ReturnType(true);
}
}
if (checkChar('.', in))
{
auto after_point_count = in.count();
while (!in.eof() && *in.position() == '0')
++in.position();
auto after_leading_zeros_count = in.count();
int after_point_num_leading_zeros = static_cast<int>(after_leading_zeros_count - after_point_count);
readUIntTextUpToNSignificantDigits<significant_digits>(after_point, in);
read_digits = in.count() - after_leading_zeros_count;
after_point_exponent = (read_digits > significant_digits ? -significant_digits : static_cast<int>(-read_digits)) - after_point_num_leading_zeros;
}
if (checkChar('e', in) || checkChar('E', in))
{
if (in.eof())
{
if constexpr (throw_exception)
throw ParsingException(ErrorCodes::CANNOT_PARSE_NUMBER, "Cannot read floating point value: nothing after exponent");
else
return false;
}
bool exponent_negative = false;
if (*in.position() == '-')
{
exponent_negative = true;
++in.position();
}
else if (*in.position() == '+')
{
++in.position();
}
readUIntTextUpToNSignificantDigits<4>(exponent, in);
if (exponent_negative)
exponent = -exponent;
}
if (after_point)
x += static_cast<T>(shift10(after_point, after_point_exponent));
if (exponent)
x = static_cast<T>(shift10(x, exponent));
if (negative)
x = -x;
auto num_characters_without_sign = in.count() - count_after_sign;
/// Denormals. At most one character is read before denormal and it is '-'.
if (num_characters_without_sign == 0)
{
if (in.eof())
{
if constexpr (throw_exception)
throw ParsingException(ErrorCodes::CANNOT_PARSE_NUMBER, "Cannot read floating point value: no digits read");
else
return false;
}
if (*in.position() == '+')
{
++in.position();
if (in.eof())
{
if constexpr (throw_exception)
throw ParsingException(ErrorCodes::CANNOT_PARSE_NUMBER, "Cannot read floating point value: nothing after plus sign");
else
return false;
}
else if (negative)
{
if constexpr (throw_exception)
throw ParsingException(ErrorCodes::CANNOT_PARSE_NUMBER, "Cannot read floating point value: plus after minus sign");
else
return false;
}
}
if (*in.position() == 'i' || *in.position() == 'I')
{
if (assertOrParseInfinity<throw_exception>(in))
{
x = std::numeric_limits<T>::infinity();
if (negative)
x = -x;
return ReturnType(true);
}
return ReturnType(false);
}
else if (*in.position() == 'n' || *in.position() == 'N')
{
if (assertOrParseNaN<throw_exception>(in))
{
x = std::numeric_limits<T>::quiet_NaN();
if (negative)
x = -x;
return ReturnType(true);
}
return ReturnType(false);
}
}
return ReturnType(true);
}
template <typename T, typename ReturnType>
ReturnType readFloatTextSimpleImpl(T & x, ReadBuffer & buf)
{
static constexpr bool throw_exception = std::is_same_v<ReturnType, void>;
bool negative = false;
x = 0;
bool after_point = false;
T power_of_ten = 1;
if (buf.eof())
throwReadAfterEOF();
while (!buf.eof())
{
switch (*buf.position())
{
case '+':
break;
case '-':
negative = true;
break;
case '.':
after_point = true;
break;
case '0': [[fallthrough]];
case '1': [[fallthrough]];
case '2': [[fallthrough]];
case '3': [[fallthrough]];
case '4': [[fallthrough]];
case '5': [[fallthrough]];
case '6': [[fallthrough]];
case '7': [[fallthrough]];
case '8': [[fallthrough]];
case '9':
if (after_point)
{
power_of_ten /= 10;
x += (*buf.position() - '0') * power_of_ten;
}
else
{
x *= 10;
x += *buf.position() - '0';
}
break;
case 'e': [[fallthrough]];
case 'E':
{
++buf.position();
Int32 exponent = 0;
readIntText(exponent, buf);
x = shift10(x, exponent);
if (negative)
x = -x;
return ReturnType(true);
}
case 'i': [[fallthrough]];
case 'I':
{
if (assertOrParseInfinity<throw_exception>(buf))
{
x = std::numeric_limits<T>::infinity();
if (negative)
x = -x;
return ReturnType(true);
}
return ReturnType(false);
}
case 'n': [[fallthrough]];
case 'N':
{
if (assertOrParseNaN<throw_exception>(buf))
{
x = std::numeric_limits<T>::quiet_NaN();
if (negative)
x = -x;
return ReturnType(true);
}
return ReturnType(false);
}
default:
{
if (negative)
x = -x;
return ReturnType(true);
}
}
++buf.position();
}
if (negative)
x = -x;
return ReturnType(true);
}
template <typename T> void readFloatTextPrecise(T & x, ReadBuffer & in) { readFloatTextPreciseImpl<T, void>(x, in); }
template <typename T> bool tryReadFloatTextPrecise(T & x, ReadBuffer & in) { return readFloatTextPreciseImpl<T, bool>(x, in); }
template <typename T> void readFloatTextFast(T & x, ReadBuffer & in) { readFloatTextFastImpl<T, void>(x, in); }
template <typename T> bool tryReadFloatTextFast(T & x, ReadBuffer & in) { return readFloatTextFastImpl<T, bool>(x, in); }
template <typename T> void readFloatTextSimple(T & x, ReadBuffer & in) { readFloatTextSimpleImpl<T, void>(x, in); }
template <typename T> bool tryReadFloatTextSimple(T & x, ReadBuffer & in) { return readFloatTextSimpleImpl<T, bool>(x, in); }
/// Implementation that is selected as default.
template <typename T> void readFloatText(T & x, ReadBuffer & in) { readFloatTextFast(x, in); }
template <typename T> bool tryReadFloatText(T & x, ReadBuffer & in) { return tryReadFloatTextFast(x, in); }
}
|