#include "jemalloc/internal/jemalloc_preamble.h" #include "jemalloc/internal/jemalloc_internal_includes.h" #include "jemalloc/internal/fxp.h" static bool fxp_isdigit(char c) { return '0' <= c && c <= '9'; } bool fxp_parse(fxp_t *result, const char *str, char **end) { /* * Using malloc_strtoumax in this method isn't as handy as you might * expect (I tried). In the fractional part, significant leading zeros * mean that you still need to do your own parsing, now with trickier * math. In the integer part, the casting (uintmax_t to uint32_t) * forces more reasoning about bounds than just checking for overflow as * we parse. */ uint32_t integer_part = 0; const char *cur = str; /* The string must start with a digit or a decimal point. */ if (*cur != '.' && !fxp_isdigit(*cur)) { return true; } while ('0' <= *cur && *cur <= '9') { integer_part *= 10; integer_part += *cur - '0'; if (integer_part >= (1U << 16)) { return true; } cur++; } /* * We've parsed all digits at the beginning of the string, without * overflow. Either we're done, or there's a fractional part. */ if (*cur != '.') { *result = (integer_part << 16); if (end != NULL) { *end = (char *)cur; } return false; } /* There's a fractional part. */ cur++; if (!fxp_isdigit(*cur)) { /* Shouldn't end on the decimal point. */ return true; } /* * We use a lot of precision for the fractional part, even though we'll * discard most of it; this lets us get exact values for the important * special case where the denominator is a small power of 2 (for * instance, 1/512 == 0.001953125 is exactly representable even with * only 16 bits of fractional precision). We need to left-shift by 16 * before dividing so we pick the number of digits to be * floor(log(2**48)) = 14. */ uint64_t fractional_part = 0; uint64_t frac_div = 1; for (int i = 0; i < FXP_FRACTIONAL_PART_DIGITS; i++) { fractional_part *= 10; frac_div *= 10; if (fxp_isdigit(*cur)) { fractional_part += *cur - '0'; cur++; } } /* * We only parse the first maxdigits characters, but we can still ignore * any digits after that. */ while (fxp_isdigit(*cur)) { cur++; } assert(fractional_part < frac_div); uint32_t fractional_repr = (uint32_t)( (fractional_part << 16) / frac_div); /* Success! */ *result = (integer_part << 16) + fractional_repr; if (end != NULL) { *end = (char *)cur; } return false; } void fxp_print(fxp_t a, char buf[FXP_BUF_SIZE]) { uint32_t integer_part = fxp_round_down(a); uint32_t fractional_part = (a & ((1U << 16) - 1)); int leading_fraction_zeros = 0; uint64_t fraction_digits = fractional_part; for (int i = 0; i < FXP_FRACTIONAL_PART_DIGITS; i++) { if (fraction_digits < (1U << 16) && fraction_digits * 10 >= (1U << 16)) { leading_fraction_zeros = i; } fraction_digits *= 10; } fraction_digits >>= 16; while (fraction_digits > 0 && fraction_digits % 10 == 0) { fraction_digits /= 10; } size_t printed = malloc_snprintf(buf, FXP_BUF_SIZE, "%"FMTu32".", integer_part); for (int i = 0; i < leading_fraction_zeros; i++) { buf[printed] = '0'; printed++; } malloc_snprintf(&buf[printed], FXP_BUF_SIZE - printed, "%"FMTu64, fraction_digits); }