/**************************************************************************** * libs/libc/stdio/lib_dtoa_engine.c * * Copyright © 2018, Keith Packard * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions * are met: * * 1. Redistributions of source code must retain the above copyright * notice, this list of conditions and the following disclaimer. * 2. Redistributions in binary form must reproduce the above copyright * notice, this list of conditions and the following disclaimer in * the documentation and/or other materials provided with the * distribution. * 3. Neither the name NuttX nor the names of its contributors may be * used to endorse or promote products derived from this software * without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * ****************************************************************************/ /**************************************************************************** * Included Files ****************************************************************************/ #include #include #include "lib_dtoa_engine.h" /**************************************************************************** * Pre-processor Definitions ****************************************************************************/ /* A bit of CPP trickery -- construct the floating-point value 10 ** DBL_DIG * by pasting the value of DBL_DIG onto '1e' to */ #define PASTE(a) 1e##a #define SUBSTITUTE(a) PASTE(a) #define MIN_MANT (SUBSTITUTE(DBL_DIG)) #define MAX_MANT (10.0 * MIN_MANT) #define MIN_MANT_INT ((uint64_t)MIN_MANT) #define MIN_MANT_EXP DBL_DIG /**************************************************************************** * Public Functions ****************************************************************************/ int __dtoa_engine(double x, FAR struct dtoa_s *dtoa, int max_digits, int max_decimals) { int32_t exp = 0; uint8_t flags = 0; int i; if (__builtin_signbit(x)) { flags |= DTOA_MINUS; x = -x; } if (x == 0) { flags |= DTOA_ZERO; for (i = 0; i < max_digits; i++) dtoa->digits[i] = '0'; } else if (isnan(x)) { flags |= DTOA_NAN; } else if (isinf(x)) { flags |= DTOA_INF; } else { double y; exp = MIN_MANT_EXP; /* Bring x within range MIN_MANT <= x < MAX_MANT while computing * exponent value */ if (x < MIN_MANT) { for (i = DTOA_SCALE_UP_NUM - 1; i >= 0; i--) { y = x * g_dtoa_scale_up[i]; if (y < MAX_MANT) { x = y; exp -= (1 << i); } } } else { for (i = DTOA_SCALE_DOWN_NUM - 1; i >= 0; i--) { y = x * g_dtoa_scale_down[i]; if (y >= MIN_MANT) { x = y; exp += (1 << i); } } } /* If limiting decimals, then limit the max digits to no more than the * number of digits left of the decimal plus the number of digits right * of the decimal. If the integer value is 0, there are only values to * the right of the decimal point in dtoa->digits. */ if (max_decimals != 0) { max_digits = MIN(max_digits, max_decimals + MAX(exp + 1, 0)); } /* Round nearest by adding 1/2 of the last digit before converting to * int. Check for overflow and adjust mantissa and exponent values */ x = x + g_dtoa_round[max_digits]; if (x >= MAX_MANT) { x /= 10.0; exp++; } /* Now convert mantissa to decimal. */ uint64_t mant = (uint64_t)x; uint64_t decimal = MIN_MANT_INT; /* Compute digits */ for (i = 0; i < max_digits; i++) { dtoa->digits[i] = mant / decimal + '0'; mant %= decimal; decimal /= 10; } } dtoa->digits[max_digits] = '\0'; dtoa->flags = flags; dtoa->exp = exp; return max_digits; }