Optimizations for integer to decimal output.

Using a lookup table of digit pairs reduces the number of divisions
needed, and calculating the length upfront saves some work; these
ideas are taken from the code previously committed for floats.

David Fetter, reviewed by Kyotaro Horiguchi, Tels, and me.

Discussion: https://postgr.es/m/20190924052620.GP31596%40fetter.org
This commit is contained in:
Andrew Gierth 2020-02-01 21:57:14 +00:00
parent 7bae0ad9fc
commit 1fd687a035
5 changed files with 300 additions and 240 deletions

View File

@ -112,7 +112,7 @@ printsimple(TupleTableSlot *slot, DestReceiver *self)
case INT8OID:
{
int64 num = DatumGetInt64(value);
char str[23]; /* sign, 21 digits and '\0' */
char str[MAXINT8LEN + 1];
pg_lltoa(num, str);
pq_sendcountedtext(&buf, str, strlen(str), false);

View File

@ -388,9 +388,9 @@ AppendSeconds(char *cp, int sec, fsec_t fsec, int precision, bool fillzeros)
Assert(precision >= 0);
if (fillzeros)
cp = pg_ltostr_zeropad(cp, Abs(sec), 2);
cp = pg_ultostr_zeropad(cp, Abs(sec), 2);
else
cp = pg_ltostr(cp, Abs(sec));
cp = pg_ultostr(cp, Abs(sec));
/* fsec_t is just an int32 */
if (fsec != 0)
@ -430,7 +430,7 @@ AppendSeconds(char *cp, int sec, fsec_t fsec, int precision, bool fillzeros)
* which will generate a correct answer in the minimum valid width.
*/
if (value)
return pg_ltostr(cp, Abs(fsec));
return pg_ultostr(cp, Abs(fsec));
return end;
}
@ -3831,20 +3831,20 @@ EncodeTimezone(char *str, int tz, int style)
if (sec != 0)
{
str = pg_ltostr_zeropad(str, hour, 2);
str = pg_ultostr_zeropad(str, hour, 2);
*str++ = ':';
str = pg_ltostr_zeropad(str, min, 2);
str = pg_ultostr_zeropad(str, min, 2);
*str++ = ':';
str = pg_ltostr_zeropad(str, sec, 2);
str = pg_ultostr_zeropad(str, sec, 2);
}
else if (min != 0 || style == USE_XSD_DATES)
{
str = pg_ltostr_zeropad(str, hour, 2);
str = pg_ultostr_zeropad(str, hour, 2);
*str++ = ':';
str = pg_ltostr_zeropad(str, min, 2);
str = pg_ultostr_zeropad(str, min, 2);
}
else
str = pg_ltostr_zeropad(str, hour, 2);
str = pg_ultostr_zeropad(str, hour, 2);
return str;
}
@ -3861,40 +3861,40 @@ EncodeDateOnly(struct pg_tm *tm, int style, char *str)
case USE_ISO_DATES:
case USE_XSD_DATES:
/* compatible with ISO date formats */
str = pg_ltostr_zeropad(str,
str = pg_ultostr_zeropad(str,
(tm->tm_year > 0) ? tm->tm_year : -(tm->tm_year - 1), 4);
*str++ = '-';
str = pg_ltostr_zeropad(str, tm->tm_mon, 2);
str = pg_ultostr_zeropad(str, tm->tm_mon, 2);
*str++ = '-';
str = pg_ltostr_zeropad(str, tm->tm_mday, 2);
str = pg_ultostr_zeropad(str, tm->tm_mday, 2);
break;
case USE_SQL_DATES:
/* compatible with Oracle/Ingres date formats */
if (DateOrder == DATEORDER_DMY)
{
str = pg_ltostr_zeropad(str, tm->tm_mday, 2);
str = pg_ultostr_zeropad(str, tm->tm_mday, 2);
*str++ = '/';
str = pg_ltostr_zeropad(str, tm->tm_mon, 2);
str = pg_ultostr_zeropad(str, tm->tm_mon, 2);
}
else
{
str = pg_ltostr_zeropad(str, tm->tm_mon, 2);
str = pg_ultostr_zeropad(str, tm->tm_mon, 2);
*str++ = '/';
str = pg_ltostr_zeropad(str, tm->tm_mday, 2);
str = pg_ultostr_zeropad(str, tm->tm_mday, 2);
}
*str++ = '/';
str = pg_ltostr_zeropad(str,
str = pg_ultostr_zeropad(str,
(tm->tm_year > 0) ? tm->tm_year : -(tm->tm_year - 1), 4);
break;
case USE_GERMAN_DATES:
/* German-style date format */
str = pg_ltostr_zeropad(str, tm->tm_mday, 2);
str = pg_ultostr_zeropad(str, tm->tm_mday, 2);
*str++ = '.';
str = pg_ltostr_zeropad(str, tm->tm_mon, 2);
str = pg_ultostr_zeropad(str, tm->tm_mon, 2);
*str++ = '.';
str = pg_ltostr_zeropad(str,
str = pg_ultostr_zeropad(str,
(tm->tm_year > 0) ? tm->tm_year : -(tm->tm_year - 1), 4);
break;
@ -3903,18 +3903,18 @@ EncodeDateOnly(struct pg_tm *tm, int style, char *str)
/* traditional date-only style for Postgres */
if (DateOrder == DATEORDER_DMY)
{
str = pg_ltostr_zeropad(str, tm->tm_mday, 2);
str = pg_ultostr_zeropad(str, tm->tm_mday, 2);
*str++ = '-';
str = pg_ltostr_zeropad(str, tm->tm_mon, 2);
str = pg_ultostr_zeropad(str, tm->tm_mon, 2);
}
else
{
str = pg_ltostr_zeropad(str, tm->tm_mon, 2);
str = pg_ultostr_zeropad(str, tm->tm_mon, 2);
*str++ = '-';
str = pg_ltostr_zeropad(str, tm->tm_mday, 2);
str = pg_ultostr_zeropad(str, tm->tm_mday, 2);
}
*str++ = '-';
str = pg_ltostr_zeropad(str,
str = pg_ultostr_zeropad(str,
(tm->tm_year > 0) ? tm->tm_year : -(tm->tm_year - 1), 4);
break;
}
@ -3939,9 +3939,9 @@ EncodeDateOnly(struct pg_tm *tm, int style, char *str)
void
EncodeTimeOnly(struct pg_tm *tm, fsec_t fsec, bool print_tz, int tz, int style, char *str)
{
str = pg_ltostr_zeropad(str, tm->tm_hour, 2);
str = pg_ultostr_zeropad(str, tm->tm_hour, 2);
*str++ = ':';
str = pg_ltostr_zeropad(str, tm->tm_min, 2);
str = pg_ultostr_zeropad(str, tm->tm_min, 2);
*str++ = ':';
str = AppendSeconds(str, tm->tm_sec, fsec, MAX_TIME_PRECISION, true);
if (print_tz)
@ -3984,16 +3984,16 @@ EncodeDateTime(struct pg_tm *tm, fsec_t fsec, bool print_tz, int tz, const char
case USE_ISO_DATES:
case USE_XSD_DATES:
/* Compatible with ISO-8601 date formats */
str = pg_ltostr_zeropad(str,
str = pg_ultostr_zeropad(str,
(tm->tm_year > 0) ? tm->tm_year : -(tm->tm_year - 1), 4);
*str++ = '-';
str = pg_ltostr_zeropad(str, tm->tm_mon, 2);
str = pg_ultostr_zeropad(str, tm->tm_mon, 2);
*str++ = '-';
str = pg_ltostr_zeropad(str, tm->tm_mday, 2);
str = pg_ultostr_zeropad(str, tm->tm_mday, 2);
*str++ = (style == USE_ISO_DATES) ? ' ' : 'T';
str = pg_ltostr_zeropad(str, tm->tm_hour, 2);
str = pg_ultostr_zeropad(str, tm->tm_hour, 2);
*str++ = ':';
str = pg_ltostr_zeropad(str, tm->tm_min, 2);
str = pg_ultostr_zeropad(str, tm->tm_min, 2);
*str++ = ':';
str = AppendTimestampSeconds(str, tm, fsec);
if (print_tz)
@ -4004,23 +4004,23 @@ EncodeDateTime(struct pg_tm *tm, fsec_t fsec, bool print_tz, int tz, const char
/* Compatible with Oracle/Ingres date formats */
if (DateOrder == DATEORDER_DMY)
{
str = pg_ltostr_zeropad(str, tm->tm_mday, 2);
str = pg_ultostr_zeropad(str, tm->tm_mday, 2);
*str++ = '/';
str = pg_ltostr_zeropad(str, tm->tm_mon, 2);
str = pg_ultostr_zeropad(str, tm->tm_mon, 2);
}
else
{
str = pg_ltostr_zeropad(str, tm->tm_mon, 2);
str = pg_ultostr_zeropad(str, tm->tm_mon, 2);
*str++ = '/';
str = pg_ltostr_zeropad(str, tm->tm_mday, 2);
str = pg_ultostr_zeropad(str, tm->tm_mday, 2);
}
*str++ = '/';
str = pg_ltostr_zeropad(str,
str = pg_ultostr_zeropad(str,
(tm->tm_year > 0) ? tm->tm_year : -(tm->tm_year - 1), 4);
*str++ = ' ';
str = pg_ltostr_zeropad(str, tm->tm_hour, 2);
str = pg_ultostr_zeropad(str, tm->tm_hour, 2);
*str++ = ':';
str = pg_ltostr_zeropad(str, tm->tm_min, 2);
str = pg_ultostr_zeropad(str, tm->tm_min, 2);
*str++ = ':';
str = AppendTimestampSeconds(str, tm, fsec);
@ -4043,16 +4043,16 @@ EncodeDateTime(struct pg_tm *tm, fsec_t fsec, bool print_tz, int tz, const char
case USE_GERMAN_DATES:
/* German variant on European style */
str = pg_ltostr_zeropad(str, tm->tm_mday, 2);
str = pg_ultostr_zeropad(str, tm->tm_mday, 2);
*str++ = '.';
str = pg_ltostr_zeropad(str, tm->tm_mon, 2);
str = pg_ultostr_zeropad(str, tm->tm_mon, 2);
*str++ = '.';
str = pg_ltostr_zeropad(str,
str = pg_ultostr_zeropad(str,
(tm->tm_year > 0) ? tm->tm_year : -(tm->tm_year - 1), 4);
*str++ = ' ';
str = pg_ltostr_zeropad(str, tm->tm_hour, 2);
str = pg_ultostr_zeropad(str, tm->tm_hour, 2);
*str++ = ':';
str = pg_ltostr_zeropad(str, tm->tm_min, 2);
str = pg_ultostr_zeropad(str, tm->tm_min, 2);
*str++ = ':';
str = AppendTimestampSeconds(str, tm, fsec);
@ -4078,7 +4078,7 @@ EncodeDateTime(struct pg_tm *tm, fsec_t fsec, bool print_tz, int tz, const char
*str++ = ' ';
if (DateOrder == DATEORDER_DMY)
{
str = pg_ltostr_zeropad(str, tm->tm_mday, 2);
str = pg_ultostr_zeropad(str, tm->tm_mday, 2);
*str++ = ' ';
memcpy(str, months[tm->tm_mon - 1], 3);
str += 3;
@ -4088,16 +4088,16 @@ EncodeDateTime(struct pg_tm *tm, fsec_t fsec, bool print_tz, int tz, const char
memcpy(str, months[tm->tm_mon - 1], 3);
str += 3;
*str++ = ' ';
str = pg_ltostr_zeropad(str, tm->tm_mday, 2);
str = pg_ultostr_zeropad(str, tm->tm_mday, 2);
}
*str++ = ' ';
str = pg_ltostr_zeropad(str, tm->tm_hour, 2);
str = pg_ultostr_zeropad(str, tm->tm_hour, 2);
*str++ = ':';
str = pg_ltostr_zeropad(str, tm->tm_min, 2);
str = pg_ultostr_zeropad(str, tm->tm_min, 2);
*str++ = ':';
str = AppendTimestampSeconds(str, tm, fsec);
*str++ = ' ';
str = pg_ltostr_zeropad(str,
str = pg_ultostr_zeropad(str,
(tm->tm_year > 0) ? tm->tm_year : -(tm->tm_year - 1), 4);
if (print_tz)

View File

@ -26,7 +26,6 @@
#include "utils/builtins.h"
#include "utils/int8.h"
#define MAXINT8LEN 25
typedef struct
{

View File

@ -20,6 +20,68 @@
#include "common/int.h"
#include "utils/builtins.h"
#include "port/pg_bitutils.h"
/*
* A table of all two-digit numbers. This is used to speed up decimal digit
* generation by copying pairs of digits into the final output.
*/
static const char DIGIT_TABLE[200] =
"00" "01" "02" "03" "04" "05" "06" "07" "08" "09"
"10" "11" "12" "13" "14" "15" "16" "17" "18" "19"
"20" "21" "22" "23" "24" "25" "26" "27" "28" "29"
"30" "31" "32" "33" "34" "35" "36" "37" "38" "39"
"40" "41" "42" "43" "44" "45" "46" "47" "48" "49"
"50" "51" "52" "53" "54" "55" "56" "57" "58" "59"
"60" "61" "62" "63" "64" "65" "66" "67" "68" "69"
"70" "71" "72" "73" "74" "75" "76" "77" "78" "79"
"80" "81" "82" "83" "84" "85" "86" "87" "88" "89"
"90" "91" "92" "93" "94" "95" "96" "97" "98" "99";
/*
* Adapted from http://graphics.stanford.edu/~seander/bithacks.html#IntegerLog10
*/
static inline int
decimalLength32(const uint32 v)
{
int t;
static uint32 PowersOfTen[] =
{1, 10, 100,
1000, 10000, 100000,
1000000, 10000000, 100000000,
1000000000};
/*
* Compute base-10 logarithm by dividing the base-2 logarithm by a
* good-enough approximation of the base-2 logarithm of 10
*/
t = (pg_leftmost_one_pos32(v) + 1) * 1233 / 4096;
return t + (v >= PowersOfTen[t]);
}
static inline int
decimalLength64(const uint64 v)
{
int t;
static uint64 PowersOfTen[] = {
UINT64CONST(1), UINT64CONST(10),
UINT64CONST(100), UINT64CONST(1000),
UINT64CONST(10000), UINT64CONST(100000),
UINT64CONST(1000000), UINT64CONST(10000000),
UINT64CONST(100000000), UINT64CONST(1000000000),
UINT64CONST(10000000000), UINT64CONST(100000000000),
UINT64CONST(1000000000000), UINT64CONST(10000000000000),
UINT64CONST(100000000000000), UINT64CONST(1000000000000000),
UINT64CONST(10000000000000000), UINT64CONST(100000000000000000),
UINT64CONST(1000000000000000000), UINT64CONST(10000000000000000000)
};
/*
* Compute base-10 logarithm by dividing the base-2 logarithm by a
* good-enough approximation of the base-2 logarithm of 10
*/
t = (pg_leftmost_one_pos64(v) + 1) * 1233 / 4096;
return t + (v >= PowersOfTen[t]);
}
/*
* pg_atoi: convert string to integer
@ -276,116 +338,201 @@ pg_itoa(int16 i, char *a)
}
/*
* pg_ltoa: converts a signed 32-bit integer to its string representation
* pg_ultoa_n: converts an unsigned 32-bit integer to its string representation,
* not NUL-terminated, and returns the length of that string representation
*
* Caller must ensure that 'a' points to enough memory to hold the result
* (at least 12 bytes, counting a leading sign and trailing NUL).
* Caller must ensure that 'a' points to enough memory to hold the result (at
* least 10 bytes)
*/
int
pg_ultoa_n(uint32 value, char *a)
{
int olength,
i = 0;
/* Degenerate case */
if (value == 0)
{
*a = '0';
return 1;
}
olength = decimalLength32(value);
/* Compute the result string. */
while (value >= 10000)
{
const uint32 c = value - 10000 * (value / 10000);
const uint32 c0 = (c % 100) << 1;
const uint32 c1 = (c / 100) << 1;
char *pos = a + olength - i;
value /= 10000;
memcpy(pos - 2, DIGIT_TABLE + c0, 2);
memcpy(pos - 4, DIGIT_TABLE + c1, 2);
i += 4;
}
if (value >= 100)
{
const uint32 c = (value % 100) << 1;
char *pos = a + olength - i;
value /= 100;
memcpy(pos - 2, DIGIT_TABLE + c, 2);
i += 2;
}
if (value >= 10)
{
const uint32 c = value << 1;
char *pos = a + olength - i;
memcpy(pos - 2, DIGIT_TABLE + c, 2);
}
else
{
*a = (char) ('0' + value);
}
return olength;
}
/*
* NUL-terminate the output of pg_ultoa_n.
*
* It is the caller's responsibility to ensure that a is at least 12 bytes long,
* which is enough room to hold a minus sign, a maximally long int32, and the
* above terminating NUL.
*/
void
pg_ltoa(int32 value, char *a)
{
char *start = a;
bool neg = false;
/*
* Avoid problems with the most negative integer not being representable
* as a positive integer.
*/
if (value == PG_INT32_MIN)
uint32 uvalue = (uint32) value;
int len;
if (value < 0)
{
memcpy(a, "-2147483648", 12);
return;
}
else if (value < 0)
{
value = -value;
neg = true;
}
/* Compute the result string backwards. */
do
{
int32 remainder;
int32 oldval = value;
value /= 10;
remainder = oldval - value * 10;
*a++ = '0' + remainder;
} while (value != 0);
if (neg)
uvalue = (uint32) 0 - uvalue;
*a++ = '-';
/* Add trailing NUL byte, and back up 'a' to the last character. */
*a-- = '\0';
/* Reverse string. */
while (start < a)
{
char swap = *start;
*start++ = *a;
*a-- = swap;
}
len = pg_ultoa_n(uvalue, a);
a[len] = '\0';
}
/*
* Get the decimal representation, not NUL-terminated, and return the length of
* same. Caller must ensure that a points to at least MAXINT8LEN bytes.
*/
int
pg_ulltoa_n(uint64 value, char *a)
{
int olength,
i = 0;
uint32 value2;
/* Degenerate case */
if (value == 0)
{
*a = '0';
return 1;
}
olength = decimalLength64(value);
/* Compute the result string. */
while (value >= 100000000)
{
const uint64 q = value / 100000000;
uint32 value2 = (uint32) (value - 100000000 * q);
const uint32 c = value2 % 10000;
const uint32 d = value2 / 10000;
const uint32 c0 = (c % 100) << 1;
const uint32 c1 = (c / 100) << 1;
const uint32 d0 = (d % 100) << 1;
const uint32 d1 = (d / 100) << 1;
char *pos = a + olength - i;
value = q;
memcpy(pos - 2, DIGIT_TABLE + c0, 2);
memcpy(pos - 4, DIGIT_TABLE + c1, 2);
memcpy(pos - 6, DIGIT_TABLE + d0, 2);
memcpy(pos - 8, DIGIT_TABLE + d1, 2);
i += 8;
}
/* Switch to 32-bit for speed */
value2 = (uint32) value;
if (value2 >= 10000)
{
const uint32 c = value2 - 10000 * (value2 / 10000);
const uint32 c0 = (c % 100) << 1;
const uint32 c1 = (c / 100) << 1;
char *pos = a + olength - i;
value2 /= 10000;
memcpy(pos - 2, DIGIT_TABLE + c0, 2);
memcpy(pos - 4, DIGIT_TABLE + c1, 2);
i += 4;
}
if (value2 >= 100)
{
const uint32 c = (value2 % 100) << 1;
char *pos = a + olength - i;
value2 /= 100;
memcpy(pos - 2, DIGIT_TABLE + c, 2);
i += 2;
}
if (value2 >= 10)
{
const uint32 c = value2 << 1;
char *pos = a + olength - i;
memcpy(pos - 2, DIGIT_TABLE + c, 2);
}
else
*a = (char) ('0' + value2);
return olength;
}
/*
* pg_lltoa: convert a signed 64-bit integer to its string representation
*
* Caller must ensure that 'a' points to enough memory to hold the result
* (at least MAXINT8LEN+1 bytes, counting a leading sign and trailing NUL).
* (at least MAXINT8LEN + 1 bytes, counting a leading sign and trailing NUL).
*/
void
pg_lltoa(int64 value, char *a)
{
char *start = a;
bool neg = false;
int len;
uint64 uvalue = value;
/*
* Avoid problems with the most negative integer not being representable
* as a positive integer.
*/
if (value == PG_INT64_MIN)
if (value < 0)
{
memcpy(a, "-9223372036854775808", 21);
return;
}
else if (value < 0)
{
value = -value;
neg = true;
}
/* Compute the result string backwards. */
do
{
int64 remainder;
int64 oldval = value;
value /= 10;
remainder = oldval - value * 10;
*a++ = '0' + remainder;
} while (value != 0);
if (neg)
*a++ = '-';
/* Add trailing NUL byte, and back up 'a' to the last character. */
*a-- = '\0';
/* Reverse string. */
while (start < a)
{
char swap = *start;
*start++ = *a;
*a-- = swap;
uvalue = (uint64) 0 - uvalue;
}
len = pg_ulltoa_n(uvalue, a);
a[len] = 0;
}
/*
* pg_ltostr_zeropad
* pg_ultostr_zeropad
* Converts 'value' into a decimal string representation stored at 'str'.
* 'minwidth' specifies the minimum width of the result; any extra space
* is filled up by prefixing the number with zeros.
@ -407,62 +554,25 @@ pg_lltoa(int64 value, char *a)
* result.
*/
char *
pg_ltostr_zeropad(char *str, int32 value, int32 minwidth)
pg_ultostr_zeropad(char *str, uint32 value, int32 minwidth)
{
char *start = str;
char *end = &str[minwidth];
int32 num = value;
int len;
Assert(minwidth > 0);
/*
* Handle negative numbers in a special way. We can't just write a '-'
* prefix and reverse the sign as that would overflow for INT32_MIN.
*/
if (num < 0)
if (value < 100 && minwidth == 2) /* Short cut for common case */
{
*start++ = '-';
minwidth--;
/*
* Build the number starting at the last digit. Here remainder will
* be a negative number, so we must reverse the sign before adding '0'
* in order to get the correct ASCII digit.
*/
while (minwidth--)
{
int32 oldval = num;
int32 remainder;
num /= 10;
remainder = oldval - num * 10;
start[minwidth] = '0' - remainder;
}
}
else
{
/* Build the number starting at the last digit */
while (minwidth--)
{
int32 oldval = num;
int32 remainder;
num /= 10;
remainder = oldval - num * 10;
start[minwidth] = '0' + remainder;
}
memcpy(str, DIGIT_TABLE + value * 2, 2);
return str + 2;
}
/*
* If minwidth was not high enough to fit the number then num won't have
* been divided down to zero. We punt the problem to pg_ltostr(), which
* will generate a correct answer in the minimum valid width.
*/
if (num != 0)
return pg_ltostr(str, value);
len = pg_ultoa_n(value, str);
if (len >= minwidth)
return str + len;
/* Otherwise, return last output character + 1 */
return end;
memmove(str + minwidth - len, str, len);
memset(str, '0', minwidth - len);
return str + minwidth;
}
/*
@ -484,64 +594,11 @@ pg_ltostr_zeropad(char *str, int32 value, int32 minwidth)
* result.
*/
char *
pg_ltostr(char *str, int32 value)
pg_ultostr(char *str, uint32 value)
{
char *start;
char *end;
int len = pg_ultoa_n(value, str);
/*
* Handle negative numbers in a special way. We can't just write a '-'
* prefix and reverse the sign as that would overflow for INT32_MIN.
*/
if (value < 0)
{
*str++ = '-';
/* Mark the position we must reverse the string from. */
start = str;
/* Compute the result string backwards. */
do
{
int32 oldval = value;
int32 remainder;
value /= 10;
remainder = oldval - value * 10;
/* As above, we expect remainder to be negative. */
*str++ = '0' - remainder;
} while (value != 0);
}
else
{
/* Mark the position we must reverse the string from. */
start = str;
/* Compute the result string backwards. */
do
{
int32 oldval = value;
int32 remainder;
value /= 10;
remainder = oldval - value * 10;
*str++ = '0' + remainder;
} while (value != 0);
}
/* Remember the end+1 and back up 'str' to the last character. */
end = str--;
/* Reverse string. */
while (start < str)
{
char swap = *start;
*start++ = *str;
*str-- = swap;
}
return end;
return str + len;
}
/*

View File

@ -18,6 +18,8 @@
#include "nodes/nodes.h"
#include "utils/fmgrprotos.h"
/* Sign + the most decimal digits an 8-byte number could have */
#define MAXINT8LEN 20
/* bool.c */
extern bool parse_bool(const char *value, bool *result);
@ -46,10 +48,12 @@ extern int32 pg_atoi(const char *s, int size, int c);
extern int16 pg_strtoint16(const char *s);
extern int32 pg_strtoint32(const char *s);
extern void pg_itoa(int16 i, char *a);
int pg_ultoa_n(uint32 l, char *a);
int pg_ulltoa_n(uint64 l, char *a);
extern void pg_ltoa(int32 l, char *a);
extern void pg_lltoa(int64 ll, char *a);
extern char *pg_ltostr_zeropad(char *str, int32 value, int32 minwidth);
extern char *pg_ltostr(char *str, int32 value);
extern char *pg_ultostr_zeropad(char *str, uint32 value, int32 minwidth);
extern char *pg_ultostr(char *str, uint32 value);
extern uint64 pg_strtouint64(const char *str, char **endptr, int base);
/* oid.c */