📄 vasnprintf.c
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* sizeof (mp_limb_t)); if (pow5_ptr == NULL) { free (memory); return NULL; } /* Initialize with 1. */ pow5_ptr[0] = 1; pow5_len = 1; /* Multiply with 5^|n|. */ if (abs_n > 0) { static mp_limb_t const small_pow5[13 + 1] = { 1, 5, 25, 125, 625, 3125, 15625, 78125, 390625, 1953125, 9765625, 48828125, 244140625, 1220703125 }; unsigned int n13; for (n13 = 0; n13 <= abs_n; n13 += 13) { mp_limb_t digit1 = small_pow5[n13 + 13 <= abs_n ? 13 : abs_n - n13]; size_t j; mp_twolimb_t carry = 0; for (j = 0; j < pow5_len; j++) { mp_limb_t digit2 = pow5_ptr[j]; carry += (mp_twolimb_t) digit1 * (mp_twolimb_t) digit2; pow5_ptr[j] = (mp_limb_t) carry; carry = carry >> GMP_LIMB_BITS; } if (carry > 0) pow5_ptr[pow5_len++] = (mp_limb_t) carry; } } s_limbs = abs_s / GMP_LIMB_BITS; s_bits = abs_s % GMP_LIMB_BITS; if (n >= 0 ? s >= 0 : s <= 0) { /* Multiply with 2^|s|. */ if (s_bits > 0) { mp_limb_t *ptr = pow5_ptr; mp_twolimb_t accu = 0; size_t count; for (count = pow5_len; count > 0; count--) { accu += (mp_twolimb_t) *ptr << s_bits; *ptr++ = (mp_limb_t) accu; accu = accu >> GMP_LIMB_BITS; } if (accu > 0) { *ptr = (mp_limb_t) accu; pow5_len++; } } if (s_limbs > 0) { size_t count; for (count = pow5_len; count > 0;) { count--; pow5_ptr[s_limbs + count] = pow5_ptr[count]; } for (count = s_limbs; count > 0;) { count--; pow5_ptr[count] = 0; } pow5_len += s_limbs; } pow5.limbs = pow5_ptr; pow5.nlimbs = pow5_len; if (n >= 0) { /* Multiply m with pow5. No division needed. */ z_memory = multiply (m, pow5, &z); } else { /* Divide m by pow5 and round. */ z_memory = divide (m, pow5, &z); } } else { pow5.limbs = pow5_ptr; pow5.nlimbs = pow5_len; if (n >= 0) { /* n >= 0, s < 0. Multiply m with pow5, then divide by 2^|s|. */ mpn_t numerator; mpn_t denominator; void *tmp_memory; tmp_memory = multiply (m, pow5, &numerator); if (tmp_memory == NULL) { free (pow5_ptr); free (memory); return NULL; } /* Construct 2^|s|. */ { mp_limb_t *ptr = pow5_ptr + pow5_len; size_t i; for (i = 0; i < s_limbs; i++) ptr[i] = 0; ptr[s_limbs] = (mp_limb_t) 1 << s_bits; denominator.limbs = ptr; denominator.nlimbs = s_limbs + 1; } z_memory = divide (numerator, denominator, &z); free (tmp_memory); } else { /* n < 0, s > 0. Multiply m with 2^s, then divide by pow5. */ mpn_t numerator; mp_limb_t *num_ptr; num_ptr = (mp_limb_t *) malloc ((m.nlimbs + s_limbs + 1) * sizeof (mp_limb_t)); if (num_ptr == NULL) { free (pow5_ptr); free (memory); return NULL; } { mp_limb_t *destptr = num_ptr; { size_t i; for (i = 0; i < s_limbs; i++) *destptr++ = 0; } if (s_bits > 0) { const mp_limb_t *sourceptr = m.limbs; mp_twolimb_t accu = 0; size_t count; for (count = m.nlimbs; count > 0; count--) { accu += (mp_twolimb_t) *sourceptr++ << s_bits; *destptr++ = (mp_limb_t) accu; accu = accu >> GMP_LIMB_BITS; } if (accu > 0) *destptr++ = (mp_limb_t) accu; } else { const mp_limb_t *sourceptr = m.limbs; size_t count; for (count = m.nlimbs; count > 0; count--) *destptr++ = *sourceptr++; } numerator.limbs = num_ptr; numerator.nlimbs = destptr - num_ptr; } z_memory = divide (numerator, pow5, &z); free (num_ptr); } } free (pow5_ptr); free (memory); /* Here y = round (x * 10^n) = z * 10^extra_zeroes. */ if (z_memory == NULL) return NULL; digits = convert_to_decimal (z, extra_zeroes); free (z_memory); return digits;}# if NEED_PRINTF_LONG_DOUBLE/* Assuming x is finite and >= 0, and n is an integer: Returns the decimal representation of round (x * 10^n). Return the allocated memory - containing the decimal digits in low-to-high order, terminated with a NUL character - in case of success, NULL in case of memory allocation failure. */static char *scale10_round_decimal_long_double (long double x, int n){ int e; mpn_t m; void *memory = decode_long_double (x, &e, &m); return scale10_round_decimal_decoded (e, m, memory, n);}# endif# if NEED_PRINTF_DOUBLE/* Assuming x is finite and >= 0, and n is an integer: Returns the decimal representation of round (x * 10^n). Return the allocated memory - containing the decimal digits in low-to-high order, terminated with a NUL character - in case of success, NULL in case of memory allocation failure. */static char *scale10_round_decimal_double (double x, int n){ int e; mpn_t m; void *memory = decode_double (x, &e, &m); return scale10_round_decimal_decoded (e, m, memory, n);}# endif# if NEED_PRINTF_LONG_DOUBLE/* Assuming x is finite and > 0: Return an approximation for n with 10^n <= x < 10^(n+1). The approximation is usually the right n, but may be off by 1 sometimes. */static intfloorlog10l (long double x){ int exp; long double y; double z; double l; /* Split into exponential part and mantissa. */ y = frexpl (x, &exp); if (!(y >= 0.0L && y < 1.0L)) abort (); if (y == 0.0L) return INT_MIN; if (y < 0.5L) { while (y < (1.0L / (1 << (GMP_LIMB_BITS / 2)) / (1 << (GMP_LIMB_BITS / 2)))) { y *= 1.0L * (1 << (GMP_LIMB_BITS / 2)) * (1 << (GMP_LIMB_BITS / 2)); exp -= GMP_LIMB_BITS; } if (y < (1.0L / (1 << 16))) { y *= 1.0L * (1 << 16); exp -= 16; } if (y < (1.0L / (1 << 8))) { y *= 1.0L * (1 << 8); exp -= 8; } if (y < (1.0L / (1 << 4))) { y *= 1.0L * (1 << 4); exp -= 4; } if (y < (1.0L / (1 << 2))) { y *= 1.0L * (1 << 2); exp -= 2; } if (y < (1.0L / (1 << 1))) { y *= 1.0L * (1 << 1); exp -= 1; } } if (!(y >= 0.5L && y < 1.0L)) abort (); /* Compute an approximation for l = log2(x) = exp + log2(y). */ l = exp; z = y; if (z < 0.70710678118654752444) { z *= 1.4142135623730950488; l -= 0.5; } if (z < 0.8408964152537145431) { z *= 1.1892071150027210667; l -= 0.25; } if (z < 0.91700404320467123175) { z *= 1.0905077326652576592; l -= 0.125; } if (z < 0.9576032806985736469) { z *= 1.0442737824274138403; l -= 0.0625; } /* Now 0.95 <= z <= 1.01. */ z = 1 - z; /* log(1-z) = - z - z^2/2 - z^3/3 - z^4/4 - ... Four terms are enough to get an approximation with error < 10^-7. */ l -= z * (1.0 + z * (0.5 + z * ((1.0 / 3) + z * 0.25))); /* Finally multiply with log(2)/log(10), yields an approximation for log10(x). */ l *= 0.30102999566398119523; /* Round down to the next integer. */ return (int) l + (l < 0 ? -1 : 0);}# endif# if NEED_PRINTF_DOUBLE/* Assuming x is finite and > 0: Return an approximation for n with 10^n <= x < 10^(n+1). The approximation is usually the right n, but may be off by 1 sometimes. */static intfloorlog10 (double x){ int exp; double y; double z; double l; /* Split into exponential part and mantissa. */ y = frexp (x, &exp); if (!(y >= 0.0 && y < 1.0)) abort (); if (y == 0.0) return INT_MIN; if (y < 0.5) { while (y < (1.0 / (1 << (GMP_LIMB_BITS / 2)) / (1 << (GMP_LIMB_BITS / 2)))) { y *= 1.0 * (1 << (GMP_LIMB_BITS / 2)) * (1 << (GMP_LIMB_BITS / 2)); exp -= GMP_LIMB_BITS; } if (y < (1.0 / (1 << 16))) { y *= 1.0 * (1 << 16); exp -= 16; } if (y < (1.0 / (1 << 8))) { y *= 1.0 * (1 << 8); exp -= 8; } if (y < (1.0 / (1 << 4))) { y *= 1.0 * (1 << 4); exp -= 4; } if (y < (1.0 / (1 << 2))) { y *= 1.0 * (1 << 2); exp -= 2; } if (y < (1.0 / (1 << 1))) { y *= 1.0 * (1 << 1); exp -= 1; } } if (!(y >= 0.5 && y < 1.0)) abort (); /* Compute an approximation for l = log2(x) = exp + log2(y). */ l = exp; z = y; if (z < 0.70710678118654752444) { z *= 1.4142135623730950488; l -= 0.5; } if (z < 0.8408964152537145431) { z *= 1.1892071150027210667; l -= 0.25; } if (z < 0.91700404320467123175) { z *= 1.0905077326652576592; l -= 0.125; } if (z < 0.9576032806985736469) { z *= 1.0442737824274138403; l -= 0.0625; } /* Now 0.95 <= z <= 1.01. */ z = 1 - z; /* log(1-z) = - z - z^2/2 - z^3/3 - z^4/4 - ... Four terms are enough to get an approximation with error < 10^-7. */ l -= z * (1.0 + z * (0.5 + z * ((1.0 / 3) + z * 0.25))); /* Finally multiply with log(2)/log(10), yields an approximation for log10(x). */ l *= 0.30102999566398119523; /* Round down to the next integer. */ return (int) l + (l < 0 ? -1 : 0);}# endif#endifDCHAR_T *VASNPRINTF (DCHAR_T *resultbuf, size_t *lengthp, const FCHAR_T *format, va_list args){ DIRECTIVES d; arguments a; if (PRINTF_PARSE (format, &d, &a) < 0) /* errno is already set. */ return NULL;#define CLEANUP() \ free (d.dir); \ if (a.arg) \ free (a.arg); if (PRINTF_FETCHARGS (args, &a) < 0) { CLEANUP (); errno = EINVAL; return NULL; } { size_t buf_neededlength; TCHAR_T *buf; TCHAR_T *buf_malloced; const FCHAR_T *cp; size_t i; DIRECTIVE *dp; /* Output string accumulator. */ DCHAR_T *result; size_t allocated; size_t length; /* Allocate a small buffer that will hold a directive passed to sprintf or snprintf. */ buf_neededlength = xsum4 (7, d.max_width_length, d.max_precision_length, 6);#if HAVE_ALLOCA if (buf_neededlength < 4000 / sizeof (TCHAR_T)) { buf = (TCHAR_T *) alloca (buf_neededlength * sizeof (TCHAR_T)); buf_malloced = NULL; } else#endif { size_t buf_memsize = xtimes (buf_neededlength, sizeof (TCHAR_T)); if (size_overflow_p (buf_memsize)) goto out_of_memory_1; buf = (TCHAR_T *) malloc (buf_memsize); if (buf == NULL) goto out_of_memory_1; buf_malloced = buf; } if (resultbuf != NULL) { result = resultbuf; allocated = *lengthp; } else { result = NULL; allocated = 0; } length = 0; /* Invariants: result is either == resultbuf or == NULL or malloc-allocated. If length > 0, then result != NULL. */ /* Ensures that allocated >= needed. Aborts through a jump to out_of_memory if needed is SIZE_MAX or otherwise too big. */#define ENSURE_ALLOCATION(needed) \ if ((needed) > allocated) \ { \ size_t memory_size; \ DCHAR_T *memory; \ \ allocated = (allocated > 0 ? xtimes (allocated, 2) : 12); \ if ((needed) > allocated) \ allocated = (needed); \ memory_size = xtimes (allocated, sizeof (DCHAR_T)); \ if (size_overflow_p (memory_size)) \ goto out_of_memory; \ if (result == resultbuf || result == NULL) \ memory = (DCHAR_T *) malloc (memory_size); \ else \ memory = (DCHAR_T *) realloc (result, memory_size); \ if (memory == NULL) \ goto out_of_memory; \ if (result == resultbuf && length > 0) \ DCHAR_CPY (memory, result, length); \ result = memory; \ } for (cp = format, i = 0, dp = &d.dir[0]; ; cp = dp->dir_end, i++, dp++) { if (cp != dp->dir_start) { size_t n = dp->dir_start - cp; size_t augmented_length = xsum (length, n); ENSURE_ALLOCATION (augmented_length); /* This copies a piece of FCHAR_T[] into a DCHAR_T[]. Here we need that the format string contains only ASCII characters if FCHAR_T and DCHAR_T are not the same type. */ if (sizeof (FCHAR_T) == sizeof (DCHAR_T)) { DCHAR_CPY (result + length, (const DCHAR_T *) cp, n);
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