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|
/* Copyright (C) 2004 Manuel Novoa III <mjn3@codepoet.org>
*
* GNU Library General Public License (LGPL) version 2 or later.
*
* Dedicated to Toni. See uClibc/DEDICATION.mjn3 for details.
*/
#include "_stdio.h"
#include <printf.h>
#include <float.h>
#include <locale.h>
#include <bits/uClibc_fpmax.h>
typedef size_t (__fp_outfunc_t)(FILE *fp, intptr_t type, intptr_t len,
intptr_t buf);
/* Copyright (C) 2000, 2001, 2003 Manuel Novoa III
*
* Function:
*
* ssize_t _fpmaxtostr(FILE * fp, __fpmax_t x, struct printf_info *info,
* __fp_outfunc_t fp_outfunc);
*
* This is derived from the old _dtostr, whic I wrote for uClibc to provide
* floating point support for the printf functions. It handles +/- infinity,
* nan, and signed 0 assuming you have ieee arithmetic. It also now handles
* digit grouping (for the uClibc supported locales) and hexadecimal float
* notation. Finally, via the fp_outfunc parameter, it now supports wide
* output.
*
* Notes:
*
* At most DECIMAL_DIG significant digits are kept. Any trailing digits
* are treated as 0 as they are really just the results of rounding noise
* anyway. If you want to do better, use an arbitary precision arithmetic
* package. ;-)
*
* It should also be fairly portable, as no assumptions are made about the
* bit-layout of doubles. Of course, that does make it less efficient than
* it could be.
*
*/
/*****************************************************************************/
/* Don't change anything that follows unless you know what you're doing. */
/*****************************************************************************/
/* Fairly portable nan check. Bitwise for i386 generated larger code.
* If you have a better version, comment this out.
*/
#define isnan(x) ((x) != (x))
/* Without seminumerical functions to examine the sign bit, this is
* about the best we can do to test for '-0'.
*/
#define zeroisnegative(x) ((1./(x)) < 0)
/*****************************************************************************/
/* Don't change anything that follows peroid!!! ;-) */
/*****************************************************************************/
#ifdef __UCLIBC_HAS_HEXADECIMAL_FLOATS__
#if FLT_RADIX != 2
#error FLT_RADIX != 2 is not currently supported
#endif
#endif /* __UCLIBC_HAS_HEXADECIMAL_FLOATS__ */
#define NUM_HEX_DIGITS ((FPMAX_MANT_DIG + 3)/ 4)
/* WARNING: Adjust _fp_out_wide() below if this changes! */
/* With 32 bit ints, we can get 9 decimal digits per block. */
#define DIGITS_PER_BLOCK 9
#define HEX_DIGITS_PER_BLOCK 8
/* Maximum number of subcases to output double is...
* 0 - sign
* 1 - padding and initial digit
* 2 - digits left of the radix
* 3 - 0s left of the radix or radix
* 4 - radix or digits right of the radix
* 5 - 0s right of the radix
* 6 - exponent
* 7 - trailing space padding
* although not all cases may occur.
*/
#define MAX_CALLS 8
/*****************************************************************************/
#define NUM_DIGIT_BLOCKS ((DECIMAL_DIG+DIGITS_PER_BLOCK-1)/DIGITS_PER_BLOCK)
#define NUM_HEX_DIGIT_BLOCKS \
((NUM_HEX_DIGITS+HEX_DIGITS_PER_BLOCK-1)/HEX_DIGITS_PER_BLOCK)
/* WARNING: Adjust _fp_out_wide() below if this changes! */
/* extra space for '-', '.', 'e+###', and nul */
#define BUF_SIZE ( 3 + NUM_DIGIT_BLOCKS * DIGITS_PER_BLOCK )
/*****************************************************************************/
static const char fmt[] = "inf\0INF\0nan\0NAN\0.\0,";
#define INF_OFFSET 0 /* must be 1st */
#define NAN_OFFSET 8 /* must be 2nd.. see hex sign handling */
#define DECPT_OFFSET 16
#define THOUSEP_OFFSET 18
#define EMPTY_STRING_OFFSET 3
/*****************************************************************************/
#if FPMAX_MAX_10_EXP < -FPMAX_MIN_10_EXP
#error scaling code can not handle FPMAX_MAX_10_EXP < -FPMAX_MIN_10_EXP
#endif
static const __fpmax_t exp10_table[] =
{
1e1L, 1e2L, 1e4L, 1e8L, 1e16L, 1e32L, /* floats */
#if FPMAX_MAX_10_EXP < 32
#error unsupported FPMAX_MAX_10_EXP (< 32). ANSI/ISO C requires >= 37.
#endif
#if FPMAX_MAX_10_EXP >= 64
1e64L,
#endif
#if FPMAX_MAX_10_EXP >= 128
1e128L,
#endif
#if FPMAX_MAX_10_EXP >= 256
1e256L,
#endif
#if FPMAX_MAX_10_EXP >= 512
1e512L,
#endif
#if FPMAX_MAX_10_EXP >= 1024
1e1024L,
#endif
#if FPMAX_MAX_10_EXP >= 2048
1e2048L,
#endif
#if FPMAX_MAX_10_EXP >= 4096
1e4096L
#endif
#if FPMAX_MAX_10_EXP >= 8192
#error unsupported FPMAX_MAX_10_EXP. please increase table
#endif
};
#define EXP10_TABLE_SIZE (sizeof(exp10_table)/sizeof(exp10_table[0]))
#define EXP10_TABLE_MAX (1U<<(EXP10_TABLE_SIZE-1))
/*****************************************************************************/
#ifdef __UCLIBC_HAS_HEXADECIMAL_FLOATS__
#if FLT_RADIX != 2
#error FLT_RADIX != 2 is not currently supported
#endif
#if FPMAX_MAX_EXP < -FPMAX_MIN_EXP
#error scaling code can not handle FPMAX_MAX_EXP < -FPMAX_MIN_EXP
#endif
static const __fpmax_t exp16_table[] = {
0x1.0p4L, 0x1.0p8L, 0x1.0p16L, 0x1.0p32L, 0x1.0p64L,
#if FPMAX_MAX_EXP >= 128
0x1.0p128L,
#endif
#if FPMAX_MAX_EXP >= 256
0x1.0p256L,
#endif
#if FPMAX_MAX_EXP >= 512
0x1.0p512L,
#endif
#if FPMAX_MAX_EXP >= 1024
0x1.0p1024L,
#endif
#if FPMAX_MAX_EXP >= 2048
0x1.0p2048L,
#endif
#if FPMAX_MAX_EXP >= 4096
0x1.0p4096L,
#endif
#if FPMAX_MAX_EXP >= 8192
0x1.0p8192L,
#endif
#if FPMAX_MAX_EXP >= 16384
0x1.0p16384L
#endif
#if FPMAX_MAX_EXP >= 32768
#error unsupported FPMAX_MAX_EXP. please increase table
#endif
};
#define EXP16_TABLE_SIZE (sizeof(exp16_table)/sizeof(exp16_table[0]))
#define EXP16_TABLE_MAX (1U<<(EXP16_TABLE_SIZE-1))
#endif /* __UCLIBC_HAS_HEXADECIMAL_FLOATS__ */
/*****************************************************************************/
#define FPO_ZERO_PAD (0x80 | '0')
#define FPO_STR_WIDTH (0x80 | ' ');
#define FPO_STR_PREC 'p'
ssize_t attribute_hidden _fpmaxtostr(FILE * fp, __fpmax_t x, struct printf_info *info,
__fp_outfunc_t fp_outfunc)
{
#ifdef __UCLIBC_HAS_HEXADECIMAL_FLOATS__
__fpmax_t lower_bnd;
__fpmax_t upper_bnd = 1e9;
#endif /* __UCLIBC_HAS_HEXADECIMAL_FLOATS__ */
#ifdef __UCLIBC_HAS_HEXADECIMAL_FLOATS__
uint_fast32_t base = 10;
const __fpmax_t *power_table;
int dpb = DIGITS_PER_BLOCK;
int ndb = NUM_DIGIT_BLOCKS;
int nd = DECIMAL_DIG;
int sufficient_precision = 0;
#endif /* __UCLIBC_HAS_HEXADECIMAL_FLOATS__ */
#ifdef __UCLIBC_HAS_GLIBC_DIGIT_GROUPING__
int num_groups = 0;
int initial_group; /* This does not need to be initialized. */
int tslen; /* This does not need to be initialized. */
int nblk2; /* This does not need to be initialized. */
const char *ts; /* This does not need to be initialized. */
#endif /* __UCLIBC_HAS_GLIBC_DIGIT_GROUPING__ */
int round, o_exp;
int exp;
int width, preci;
int cnt;
char *s;
char *e;
intptr_t pc_fwi[3*MAX_CALLS];
intptr_t *ppc;
intptr_t *ppc_last;
#ifdef __UCLIBC_MJN3_ONLY__
#warning TODO: The size of exp_buf[] should really be determined by the float constants.
#endif /* __UCLIBC_MJN3_ONLY__ */
char exp_buf[16];
char buf[BUF_SIZE];
char sign_str[6]; /* Last 2 are for 1st digit + nul. */
char o_mode;
char mode;
width = info->width;
preci = info->prec;
mode = info->spec;
*exp_buf = 'e';
if ((mode|0x20) == 'a') {
#ifdef __UCLIBC_HAS_HEXADECIMAL_FLOATS__
*exp_buf = 'p';
if (preci < 0) {
preci = NUM_HEX_DIGITS;
sufficient_precision = 1;
}
#else
mode += ('g' - 'a');
#endif
}
if (preci < 0) {
preci = 6;
}
*sign_str = '\0';
if (PRINT_INFO_FLAG_VAL(info,showsign)) {
*sign_str = '+';
} else if (PRINT_INFO_FLAG_VAL(info,space)) {
*sign_str = ' ';
}
*(sign_str+1) = 0;
pc_fwi[5] = INF_OFFSET;
if (isnan(x)) { /* First, check for nan. */
pc_fwi[5] = NAN_OFFSET;
goto INF_NAN;
}
if (x == 0) { /* Handle 0 now to avoid false positive. */
#if 1
if (zeroisnegative(x)) { /* Handle 'signed' zero. */
*sign_str = '-';
}
#endif
exp = -1;
goto GENERATE_DIGITS;
}
if (x < 0) { /* Convert negatives to positives. */
*sign_str = '-';
x = -x;
}
if (__FPMAX_ZERO_OR_INF_CHECK(x)) { /* Inf since zero handled above. */
INF_NAN:
info->pad = ' ';
ppc = pc_fwi + 6;
pc_fwi[3] = FPO_STR_PREC;
pc_fwi[4] = 3;
if (mode < 'a') {
pc_fwi[5] += 4;
}
pc_fwi[5] = (intptr_t)(fmt + pc_fwi[5]);
goto EXIT_SPECIAL;
}
{
int i, j;
#ifdef __UCLIBC_MJN3_ONLY__
#warning TODO: Clean up defines when hexadecimal float notation is unsupported.
#endif /* __UCLIBC_MJN3_ONLY__ */
#ifdef __UCLIBC_HAS_HEXADECIMAL_FLOATS__
if ((mode|0x20) == 'a') {
lower_bnd = 0x1.0p31L;
upper_bnd = 0x1.0p32L;
power_table = exp16_table;
exp = HEX_DIGITS_PER_BLOCK - 1;
i = EXP16_TABLE_SIZE;
j = EXP16_TABLE_MAX;
dpb = HEX_DIGITS_PER_BLOCK;
ndb = NUM_HEX_DIGIT_BLOCKS;
nd = NUM_HEX_DIGITS;
base = 16;
} else {
lower_bnd = 1e8;
/* upper_bnd = 1e9; */
power_table = exp10_table;
exp = DIGITS_PER_BLOCK - 1;
i = EXP10_TABLE_SIZE;
j = EXP10_TABLE_MAX;
/* dpb = DIGITS_PER_BLOCK; */
/* ndb = NUM_DIGIT_BLOCKS; */
/* base = 10; */
}
#else /* __UCLIBC_HAS_HEXADECIMAL_FLOATS__ */
#define lower_bnd 1e8
#define upper_bnd 1e9
#define power_table exp10_table
#define dpb DIGITS_PER_BLOCK
#define base 10
#define ndb NUM_DIGIT_BLOCKS
#define nd DECIMAL_DIG
exp = DIGITS_PER_BLOCK - 1;
i = EXP10_TABLE_SIZE;
j = EXP10_TABLE_MAX;
#endif /* __UCLIBC_HAS_HEXADECIMAL_FLOATS__ */
{
int exp_neg = 0;
if (x < lower_bnd) { /* Do we need to scale up or down? */
exp_neg = 1;
}
do {
--i;
if (exp_neg) {
if (x * power_table[i] < upper_bnd) {
x *= power_table[i];
exp -= j;
}
} else {
if (x / power_table[i] >= lower_bnd) {
x /= power_table[i];
exp += j;
}
}
j >>= 1;
} while (i);
}
}
if (x >= upper_bnd) { /* Handle bad rounding case. */
x /= power_table[0];
++exp;
}
assert(x < upper_bnd);
GENERATE_DIGITS:
{
int i, j;
s = buf + 2; /* Leave space for '\0' and '0'. */
i = 0;
do {
uint_fast32_t digit_block = (uint_fast32_t) x;
assert(digit_block < upper_bnd);
#ifdef __UCLIBC_MJN3_ONLY__
#warning CONSIDER: Can rounding be a problem?
#endif /* __UCLIBC_MJN3_ONLY__ */
x = (x - digit_block) * upper_bnd;
s += dpb;
j = 0;
do {
s[- ++j] = '0' + (digit_block % base);
digit_block /= base;
} while (j < dpb);
} while (++i < ndb);
}
/*************************************************************************/
if (mode < 'a') {
*exp_buf -= ('a' - 'A'); /* e->E and p->P */
mode += ('a' - 'A');
}
o_mode = mode;
if ((mode == 'g') && (preci > 0)){
--preci;
}
round = preci;
if (mode == 'f') {
round += exp;
if (round < -1) {
__memset(buf, '0', DECIMAL_DIG); /* OK, since 'f' -> decimal case. */
exp = -1;
round = -1;
}
}
s = buf;
*s++ = 0; /* Terminator for rounding and 0-triming. */
*s = '0'; /* Space to round. */
{
int i;
i = 0;
e = s + nd + 1;
if (round < nd) {
e = s + round + 2;
if (*e >= '0' + (base/2)) { /* NOTE: We always round away from 0! */
i = 1;
}
}
do { /* Handle rounding and trim trailing 0s. */
*--e += i; /* Add the carry. */
} while ((*e == '0') || (*e > '0' - 1 + base));
}
#ifdef __UCLIBC_HAS_HEXADECIMAL_FLOATS__
if ((mode|0x20) == 'a') {
char *q;
for (q = e ; *q ; --q) {
if (*q > '9') {
*q += (*exp_buf - ('p' - 'a') - '9' - 1);
}
}
if (e > s) {
exp *= 4; /* Change from base 16 to base 2. */
}
}
#endif /* __UCLIBC_HAS_HEXADECIMAL_FLOATS__ */
o_exp = exp;
if (e <= s) { /* We carried into an extra digit. */
++o_exp;
e = s; /* Needed if all 0s. */
} else {
++s;
}
*++e = 0; /* Terminating nul char. */
if ((mode == 'g') && ((o_exp >= -4) && (o_exp <= round))) {
mode = 'f';
preci = round - o_exp;
}
exp = o_exp;
if (mode != 'f') {
o_exp = 0;
}
if (o_exp < 0) { /* Exponent is < 0, so */
*--s = '0'; /* fake the first 0 digit. */
}
pc_fwi[3] = FPO_ZERO_PAD;
pc_fwi[4] = 1;
pc_fwi[5] = (intptr_t)(sign_str + 4);
sign_str[4] = *s++;
sign_str[5] = 0;
ppc = pc_fwi + 6;
{
int i = e - s; /* Total digits is 'i'. */
if (o_exp >= 0) {
#ifdef __UCLIBC_HAS_GLIBC_DIGIT_GROUPING__
const char *p;
if (PRINT_INFO_FLAG_VAL(info,group)
&& *(p = __UCLIBC_CURLOCALE_DATA.grouping)
) {
int nblk1;
nblk2 = nblk1 = *p;
if (*++p) {
nblk2 = *p;
assert(!*++p);
}
if (o_exp >= nblk1) {
num_groups = (o_exp - nblk1) / nblk2 + 1;
initial_group = (o_exp - nblk1) % nblk2;
#ifdef __UCLIBC_HAS_WCHAR__
if (PRINT_INFO_FLAG_VAL(info,wide)) {
/* _fp_out_wide() will fix this up. */
ts = fmt + THOUSEP_OFFSET;
tslen = 1;
} else {
#endif /* __UCLIBC_HAS_WCHAR__ */
ts = __UCLIBC_CURLOCALE_DATA.thousands_sep;
tslen = __UCLIBC_CURLOCALE_DATA.thousands_sep_len;
#ifdef __UCLIBC_HAS_WCHAR__
}
#endif /* __UCLIBC_HAS_WCHAR__ */
width -= num_groups * tslen;
}
}
#endif /* __UCLIBC_HAS_GLIBC_DIGIT_GROUPING__ */
ppc[0] = FPO_STR_PREC;
ppc[2] = (intptr_t)(s);
if (o_exp >= i) { /* all digit(s) left of decimal */
ppc[1] = i;
ppc += 3;
o_exp -= i;
i = 0;
if (o_exp>0) { /* have 0s left of decimal */
ppc[0] = FPO_ZERO_PAD;
ppc[1] = o_exp;
ppc[2] = (intptr_t)(fmt + EMPTY_STRING_OFFSET);
ppc += 3;
}
} else if (o_exp > 0) { /* decimal between digits */
ppc[1] = o_exp;
ppc += 3;
s += o_exp;
i -= o_exp;
}
o_exp = -1;
}
if (PRINT_INFO_FLAG_VAL(info,alt)
|| (i)
|| ((o_mode != 'g')
#ifdef __UCLIBC_HAS_HEXADECIMAL_FLOATS__
&& (o_mode != 'a')
#endif /* __UCLIBC_HAS_HEXADECIMAL_FLOATS__ */
&& (preci > 0))
) {
ppc[0] = FPO_STR_PREC;
#ifdef __LOCALE_C_ONLY
ppc[1] = 1;
ppc[2] = (intptr_t)(fmt + DECPT_OFFSET);
#else /* __LOCALE_C_ONLY */
#ifdef __UCLIBC_HAS_WCHAR__
if (PRINT_INFO_FLAG_VAL(info,wide)) {
/* _fp_out_wide() will fix this up. */
ppc[1] = 1;
ppc[2] = (intptr_t)(fmt + DECPT_OFFSET);
} else {
#endif /* __UCLIBC_HAS_WCHAR__ */
ppc[1] = __UCLIBC_CURLOCALE_DATA.decimal_point_len;
ppc[2] = (intptr_t)(__UCLIBC_CURLOCALE_DATA.decimal_point);
#ifdef __UCLIBC_HAS_WCHAR__
}
#endif /* __UCLIBC_HAS_WCHAR__ */
#endif /* __LOCALE_C_ONLY */
ppc += 3;
}
if (++o_exp < 0) { /* Have 0s right of decimal. */
ppc[0] = FPO_ZERO_PAD;
ppc[1] = -o_exp;
ppc[2] = (intptr_t)(fmt + EMPTY_STRING_OFFSET);
ppc += 3;
}
if (i) { /* Have digit(s) right of decimal. */
ppc[0] = FPO_STR_PREC;
ppc[1] = i;
ppc[2] = (intptr_t)(s);
ppc += 3;
}
if (((o_mode != 'g') || PRINT_INFO_FLAG_VAL(info,alt))
#ifdef __UCLIBC_HAS_HEXADECIMAL_FLOATS__
&& !sufficient_precision
#endif /* __UCLIBC_HAS_HEXADECIMAL_FLOATS__ */
) {
i -= o_exp;
if (i < preci) { /* Have 0s right of digits. */
i = preci - i;
ppc[0] = FPO_ZERO_PAD;
ppc[1] = i;
ppc[2] = (intptr_t)(fmt + EMPTY_STRING_OFFSET);
ppc += 3;
}
}
}
/* Build exponent string. */
if (mode != 'f') {
char *p = exp_buf + sizeof(exp_buf);
int j;
char exp_char = *exp_buf;
char exp_sign = '+';
#ifdef __UCLIBC_HAS_HEXADECIMAL_FLOATS__
int min_exp_dig_plus_2 = ((o_mode != 'a') ? (2+2) : (2+1));
#else /* __UCLIBC_HAS_HEXADECIMAL_FLOATS__ */
#define min_exp_dig_plus_2 (2+2)
#endif /* __UCLIBC_HAS_HEXADECIMAL_FLOATS__ */
if (exp < 0) {
exp_sign = '-';
exp = -exp;
}
*--p = 0; /* nul-terminate */
j = 2; /* Count exp_char and exp_sign. */
do {
*--p = '0' + (exp % 10);
exp /= 10;
} while ((++j < min_exp_dig_plus_2) || exp); /* char+sign+mindigits */
*--p = exp_sign;
*--p = exp_char;
ppc[0] = FPO_STR_PREC;
ppc[1] = j;
ppc[2] = (intptr_t)(p);
ppc += 3;
}
EXIT_SPECIAL:
{
int i;
ppc_last = ppc;
ppc = pc_fwi + 4; /* Need width fields starting with second. */
do {
width -= *ppc;
ppc += 3;
} while (ppc < ppc_last);
ppc = pc_fwi;
ppc[0] = FPO_STR_WIDTH;
ppc[1] = i = ((*sign_str) != 0);
ppc[2] = (intptr_t) sign_str;
#ifdef __UCLIBC_HAS_HEXADECIMAL_FLOATS__
if (((mode|0x20) == 'a') && (pc_fwi[3] >= 16)) { /* Hex sign handling. */
/* Hex and not inf or nan, so prefix with 0x. */
char *h = sign_str + i;
*h = '0';
*++h = 'x' - 'p' + *exp_buf;
*++h = 0;
ppc[1] = (i += 2);
}
#endif /* __UCLIBC_HAS_HEXADECIMAL_FLOATS__ */
if ((width -= i) > 0) {
if (PRINT_INFO_FLAG_VAL(info,left)) { /* Left-justified. */
ppc_last[0] = FPO_STR_WIDTH;
ppc_last[1] = width;
ppc_last[2] = (intptr_t)(fmt + EMPTY_STRING_OFFSET);
ppc_last += 3;
} else if (info->pad == '0') { /* 0 padding */
ppc[4] += width; /* Pad second field. */
} else {
ppc[1] += width; /* Pad first (sign) field. */
}
}
cnt = 0;
}
do {
#ifdef __UCLIBC_HAS_GLIBC_DIGIT_GROUPING__
if ((ppc == pc_fwi + 6) && num_groups) {
const char *gp = (const char *) ppc[2];
int len = ppc[1];
int blk = initial_group;
cnt += num_groups * tslen; /* Adjust count now for sep chars. */
/* __printf("\n"); */
do {
if (!blk) { /* Initial group could be 0 digits long! */
blk = nblk2;
} else if (len >= blk) { /* Enough digits for a group. */
/* __printf("norm: len=%d blk=%d \"%.*s\"\n", len, blk, blk, gp); */
if (fp_outfunc(fp, *ppc, blk, (intptr_t) gp) != blk) {
return -1;
}
assert(gp);
if (*gp) {
gp += blk;
}
len -= blk;
} else { /* Transition to 0s. */
/* __printf("trans: len=%d blk=%d \"%.*s\"\n", len, blk, len, gp); */
if (len) {
/* __printf("len\n"); */
if (fp_outfunc(fp, *ppc, len, (intptr_t) gp) != len) {
return -1;
}
gp += len;
}
if (ppc[3] == FPO_ZERO_PAD) { /* Need to group 0s */
/* __printf("zeropad\n"); */
cnt += ppc[1];
ppc += 3;
gp = (const char *) ppc[2];
blk -= len; /* blk > len, so blk still > 0. */
len = ppc[1];
continue; /* Don't decrement num_groups here. */
} else {
assert(num_groups == 0);
break;
}
}
if (num_groups <= 0) {
break;
}
--num_groups;
if (fp_outfunc(fp, FPO_STR_PREC, tslen, (intptr_t) ts) != tslen) {
return -1;
}
blk = nblk2;
/* __printf("num_groups=%d blk=%d\n", num_groups, blk); */
} while (1);
} else
#endif /* __UCLIBC_HAS_GLIBC_DIGIT_GROUPING__ */
{ /* NOTE: Remember 'else' above! */
if (fp_outfunc(fp, *ppc, ppc[1], ppc[2]) != ppc[1]) {
return -1;
}
}
cnt += ppc[1];
ppc += 3;
} while (ppc < ppc_last);
return cnt;
}
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