/* atof_generic.c - turn a string of digits into a Flonum Copyright (C) 1987-2021 Free Software Foundation, Inc. This file is part of GAS, the GNU Assembler. GAS is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 3, or (at your option) any later version. GAS is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with GAS; see the file COPYING. If not, write to the Free Software Foundation, 51 Franklin Street - Fifth Floor, Boston, MA 02110-1301, USA. */ #include "as.h" #include "safe-ctype.h" #ifdef TRACE static void flonum_print (const FLONUM_TYPE *); #endif #define ASSUME_DECIMAL_MARK_IS_DOT /***********************************************************************\ * * * Given a string of decimal digits , with optional decimal * * mark and optional decimal exponent (place value) of the * * lowest_order decimal digit: produce a floating point * * number. The number is 'generic' floating point: our * * caller will encode it for a specific machine architecture. * * * * Assumptions * * uses base (radix) 2 * * this machine uses 2's complement binary integers * * target flonums use " " " " * * target flonums exponents fit in a long * * * \***********************************************************************/ /* Syntax: ::= ::= '+' | '-' | {empty} ::= | | | ::= {empty} | ::= | ::= '0' | '1' | '2' | '3' | '4' | '5' | '6' | '7' | '8' | '9' ::= {one character from "string_of_decimal_exponent_marks"} ::= {one character from "string_of_decimal_marks"} */ int atof_generic (/* return pointer to just AFTER number we read. */ char **address_of_string_pointer, /* At most one per number. */ const char *string_of_decimal_marks, const char *string_of_decimal_exponent_marks, FLONUM_TYPE *address_of_generic_floating_point_number) { int return_value; /* 0 means OK. */ char *first_digit; unsigned int number_of_digits_before_decimal; unsigned int number_of_digits_after_decimal; long decimal_exponent; unsigned int number_of_digits_available; char digits_sign_char; /* * Scan the input string, abstracting (1)digits (2)decimal mark (3) exponent. * It would be simpler to modify the string, but we don't; just to be nice * to caller. * We need to know how many digits we have, so we can allocate space for * the digits' value. */ char *p; char c; int seen_significant_digit; #ifdef ASSUME_DECIMAL_MARK_IS_DOT gas_assert (string_of_decimal_marks[0] == '.' && string_of_decimal_marks[1] == 0); #define IS_DECIMAL_MARK(c) ((c) == '.') #else #define IS_DECIMAL_MARK(c) (0 != strchr (string_of_decimal_marks, (c))) #endif first_digit = *address_of_string_pointer; c = *first_digit; if (c == '-' || c == '+') { digits_sign_char = c; first_digit++; } else digits_sign_char = '+'; switch (first_digit[0]) { case 's': case 'S': case 'q': case 'Q': if (!strncasecmp ("nan", first_digit + 1, 3)) { address_of_generic_floating_point_number->sign = digits_sign_char == '+' ? TOUPPER (first_digit[0]) : TOLOWER (first_digit[0]); address_of_generic_floating_point_number->exponent = 0; address_of_generic_floating_point_number->leader = address_of_generic_floating_point_number->low; *address_of_string_pointer = first_digit + 4; return 0; } break; case 'n': case 'N': if (!strncasecmp ("nan", first_digit, 3)) { address_of_generic_floating_point_number->sign = digits_sign_char == '+' ? 0 : 'q'; address_of_generic_floating_point_number->exponent = 0; address_of_generic_floating_point_number->leader = address_of_generic_floating_point_number->low; *address_of_string_pointer = first_digit + 3; return 0; } break; case 'i': case 'I': if (!strncasecmp ("inf", first_digit, 3)) { address_of_generic_floating_point_number->sign = digits_sign_char == '+' ? 'P' : 'N'; address_of_generic_floating_point_number->exponent = 0; address_of_generic_floating_point_number->leader = address_of_generic_floating_point_number->low; first_digit += 3; if (!strncasecmp ("inity", first_digit, 5)) first_digit += 5; *address_of_string_pointer = first_digit; return 0; } break; } number_of_digits_before_decimal = 0; number_of_digits_after_decimal = 0; decimal_exponent = 0; seen_significant_digit = 0; for (p = first_digit; (((c = *p) != '\0') && (!c || !IS_DECIMAL_MARK (c)) && (!c || !strchr (string_of_decimal_exponent_marks, c))); p++) { if (ISDIGIT (c)) { if (seen_significant_digit || c > '0') { ++number_of_digits_before_decimal; seen_significant_digit = 1; } else { first_digit++; } } else { break; /* p -> char after pre-decimal digits. */ } } /* For each digit before decimal mark. */ #ifndef OLD_FLOAT_READS /* Ignore trailing 0's after the decimal point. The original code here (ifdef'd out) does not do this, and numbers like 4.29496729600000000000e+09 (2**31) come out inexact for some reason related to length of the digit string. */ /* The case number_of_digits_before_decimal = 0 is handled for deleting zeros after decimal. In this case the decimal mark and the first zero digits after decimal mark are skipped. */ seen_significant_digit = 0; signed long subtract_decimal_exponent = 0; if (c && IS_DECIMAL_MARK (c)) { unsigned int zeros = 0; /* Length of current string of zeros. */ if (number_of_digits_before_decimal == 0) /* Skip decimal mark. */ first_digit++; for (p++; (c = *p) && ISDIGIT (c); p++) { if (c == '0') { if (number_of_digits_before_decimal == 0 && !seen_significant_digit) { /* Skip '0' and the decimal mark. */ first_digit++; subtract_decimal_exponent--; } else zeros++; } else { seen_significant_digit = 1; number_of_digits_after_decimal += 1 + zeros; zeros = 0; } } } #else if (c && IS_DECIMAL_MARK (c)) { for (p++; (((c = *p) != '\0') && (!c || !strchr (string_of_decimal_exponent_marks, c))); p++) { if (ISDIGIT (c)) { /* This may be retracted below. */ number_of_digits_after_decimal++; if ( /* seen_significant_digit || */ c > '0') { seen_significant_digit = true; } } else { if (!seen_significant_digit) { number_of_digits_after_decimal = 0; } break; } } /* For each digit after decimal mark. */ } while (number_of_digits_after_decimal && first_digit[number_of_digits_before_decimal + number_of_digits_after_decimal] == '0') --number_of_digits_after_decimal; #endif if (flag_m68k_mri) { while (c == '_') c = *++p; } if (c && strchr (string_of_decimal_exponent_marks, c)) { char digits_exponent_sign_char; c = *++p; if (flag_m68k_mri) { while (c == '_') c = *++p; } if (c && strchr ("+-", c)) { digits_exponent_sign_char = c; c = *++p; } else { digits_exponent_sign_char = '+'; } for (; (c); c = *++p) { if (ISDIGIT (c)) { decimal_exponent = decimal_exponent * 10 + c - '0'; /* * BUG! If we overflow here, we lose! */ } else { break; } } if (digits_exponent_sign_char == '-') { decimal_exponent = -decimal_exponent; } } #ifndef OLD_FLOAT_READS /* Subtract_decimal_exponent != 0 when number_of_digits_before_decimal = 0 and first digit after decimal is '0'. */ decimal_exponent += subtract_decimal_exponent; #endif *address_of_string_pointer = p; number_of_digits_available = number_of_digits_before_decimal + number_of_digits_after_decimal; return_value = 0; if (number_of_digits_available == 0) { address_of_generic_floating_point_number->exponent = 0; /* Not strictly necessary */ address_of_generic_floating_point_number->leader = -1 + address_of_generic_floating_point_number->low; address_of_generic_floating_point_number->sign = digits_sign_char; /* We have just concocted (+/-)0.0E0 */ } else { int count; /* Number of useful digits left to scan. */ LITTLENUM_TYPE *temporary_binary_low = NULL; LITTLENUM_TYPE *power_binary_low = NULL; LITTLENUM_TYPE *digits_binary_low; unsigned int precision; unsigned int maximum_useful_digits; unsigned int number_of_digits_to_use; unsigned int more_than_enough_bits_for_digits; unsigned int more_than_enough_littlenums_for_digits; unsigned int size_of_digits_in_littlenums; unsigned int size_of_digits_in_chars; FLONUM_TYPE power_of_10_flonum; FLONUM_TYPE digits_flonum; precision = (address_of_generic_floating_point_number->high - address_of_generic_floating_point_number->low + 1); /* Number of destination littlenums. */ /* precision includes two littlenums worth of guard bits, so this gives us 10 decimal guard digits here. */ maximum_useful_digits = (precision * LITTLENUM_NUMBER_OF_BITS * 1000000 / 3321928 + 1); /* round up. */ if (number_of_digits_available > maximum_useful_digits) { number_of_digits_to_use = maximum_useful_digits; } else { number_of_digits_to_use = number_of_digits_available; } /* Cast these to SIGNED LONG first, otherwise, on systems with LONG wider than INT (such as Alpha OSF/1), unsignedness may cause unexpected results. */ decimal_exponent += ((long) number_of_digits_before_decimal - (long) number_of_digits_to_use); more_than_enough_bits_for_digits = (number_of_digits_to_use * 3321928 / 1000000 + 1); more_than_enough_littlenums_for_digits = (more_than_enough_bits_for_digits / LITTLENUM_NUMBER_OF_BITS) + 2; /* Compute (digits) part. In "12.34E56" this is the "1234" part. Arithmetic is exact here. If no digits are supplied then this part is a 0 valued binary integer. Allocate room to build up the binary number as littlenums. We want this memory to disappear when we leave this function. Assume no alignment problems => (room for n objects) == n * (room for 1 object). */ size_of_digits_in_littlenums = more_than_enough_littlenums_for_digits; size_of_digits_in_chars = size_of_digits_in_littlenums * sizeof (LITTLENUM_TYPE); digits_binary_low = (LITTLENUM_TYPE *) xmalloc (size_of_digits_in_chars); memset ((char *) digits_binary_low, '\0', size_of_digits_in_chars); /* Digits_binary_low[] is allocated and zeroed. */ /* * Parse the decimal digits as if * digits_low was in the units position. * Emit a binary number into digits_binary_low[]. * * Use a large-precision version of: * (((1st-digit) * 10 + 2nd-digit) * 10 + 3rd-digit ...) * 10 + last-digit */ for (p = first_digit, count = number_of_digits_to_use; count; p++, --count) { c = *p; if (ISDIGIT (c)) { /* * Multiply by 10. Assume can never overflow. * Add this digit to digits_binary_low[]. */ long carry; LITTLENUM_TYPE *littlenum_pointer; LITTLENUM_TYPE *littlenum_limit; littlenum_limit = digits_binary_low + more_than_enough_littlenums_for_digits - 1; carry = c - '0'; /* char -> binary */ for (littlenum_pointer = digits_binary_low; littlenum_pointer <= littlenum_limit; littlenum_pointer++) { long work; work = carry + 10 * (long) (*littlenum_pointer); *littlenum_pointer = work & LITTLENUM_MASK; carry = work >> LITTLENUM_NUMBER_OF_BITS; } if (carry != 0) { /* * We have a GROSS internal error. * This should never happen. */ as_fatal (_("failed sanity check")); } } else { ++count; /* '.' doesn't alter digits used count. */ } } /* * Digits_binary_low[] properly encodes the value of the digits. * Forget about any high-order littlenums that are 0. */ while (digits_binary_low[size_of_digits_in_littlenums - 1] == 0 && size_of_digits_in_littlenums >= 2) size_of_digits_in_littlenums--; digits_flonum.low = digits_binary_low; digits_flonum.high = digits_binary_low + size_of_digits_in_littlenums - 1; digits_flonum.leader = digits_flonum.high; digits_flonum.exponent = 0; /* * The value of digits_flonum . sign should not be important. * We have already decided the output's sign. * We trust that the sign won't influence the other parts of the number! * So we give it a value for these reasons: * (1) courtesy to humans reading/debugging * these numbers so they don't get excited about strange values * (2) in future there may be more meaning attached to sign, * and what was * harmless noise may become disruptive, ill-conditioned (or worse) * input. */ digits_flonum.sign = '+'; { /* * Compute the mantissa (& exponent) of the power of 10. * If successful, then multiply the power of 10 by the digits * giving return_binary_mantissa and return_binary_exponent. */ int decimal_exponent_is_negative; /* This refers to the "-56" in "12.34E-56". */ /* FALSE: decimal_exponent is positive (or 0) */ /* TRUE: decimal_exponent is negative */ FLONUM_TYPE temporary_flonum; unsigned int size_of_power_in_littlenums; unsigned int size_of_power_in_chars; size_of_power_in_littlenums = precision; /* Precision has a built-in fudge factor so we get a few guard bits. */ decimal_exponent_is_negative = decimal_exponent < 0; if (decimal_exponent_is_negative) { decimal_exponent = -decimal_exponent; } /* From now on: the decimal exponent is > 0. Its sign is separate. */ size_of_power_in_chars = size_of_power_in_littlenums * sizeof (LITTLENUM_TYPE) + 2; power_binary_low = (LITTLENUM_TYPE *) xmalloc (size_of_power_in_chars); temporary_binary_low = (LITTLENUM_TYPE *) xmalloc (size_of_power_in_chars); memset ((char *) power_binary_low, '\0', size_of_power_in_chars); *power_binary_low = 1; power_of_10_flonum.exponent = 0; power_of_10_flonum.low = power_binary_low; power_of_10_flonum.leader = power_binary_low; power_of_10_flonum.high = power_binary_low + size_of_power_in_littlenums - 1; power_of_10_flonum.sign = '+'; temporary_flonum.low = temporary_binary_low; temporary_flonum.high = temporary_binary_low + size_of_power_in_littlenums - 1; /* * (power) == 1. * Space for temporary_flonum allocated. */ /* * ... * * WHILE more bits * DO find next bit (with place value) * multiply into power mantissa * OD */ { int place_number_limit; /* Any 10^(2^n) whose "n" exceeds this */ /* value will fall off the end of */ /* flonum_XXXX_powers_of_ten[]. */ int place_number; const FLONUM_TYPE *multiplicand; /* -> 10^(2^n) */ place_number_limit = table_size_of_flonum_powers_of_ten; multiplicand = (decimal_exponent_is_negative ? flonum_negative_powers_of_ten : flonum_positive_powers_of_ten); for (place_number = 1;/* Place value of this bit of exponent. */ decimal_exponent;/* Quit when no more 1 bits in exponent. */ decimal_exponent >>= 1, place_number++) { if (decimal_exponent & 1) { if (place_number > place_number_limit) { /* The decimal exponent has a magnitude so great that our tables can't help us fragment it. Although this routine is in error because it can't imagine a number that big, signal an error as if it is the user's fault for presenting such a big number. */ return_value = ERROR_EXPONENT_OVERFLOW; /* quit out of loop gracefully */ decimal_exponent = 0; } else { #ifdef TRACE printf ("before multiply, place_number = %d., power_of_10_flonum:\n", place_number); flonum_print (&power_of_10_flonum); (void) putchar ('\n'); #endif #ifdef TRACE printf ("multiplier:\n"); flonum_print (multiplicand + place_number); (void) putchar ('\n'); #endif flonum_multip (multiplicand + place_number, &power_of_10_flonum, &temporary_flonum); #ifdef TRACE printf ("after multiply:\n"); flonum_print (&temporary_flonum); (void) putchar ('\n'); #endif flonum_copy (&temporary_flonum, &power_of_10_flonum); #ifdef TRACE printf ("after copy:\n"); flonum_print (&power_of_10_flonum); (void) putchar ('\n'); #endif } /* If this bit of decimal_exponent was computable.*/ } /* If this bit of decimal_exponent was set. */ } /* For each bit of binary representation of exponent */ #ifdef TRACE printf ("after computing power_of_10_flonum:\n"); flonum_print (&power_of_10_flonum); (void) putchar ('\n'); #endif } } /* * power_of_10_flonum is power of ten in binary (mantissa) , (exponent). * It may be the number 1, in which case we don't NEED to multiply. * * Multiply (decimal digits) by power_of_10_flonum. */ flonum_multip (&power_of_10_flonum, &digits_flonum, address_of_generic_floating_point_number); /* Assert sign of the number we made is '+'. */ address_of_generic_floating_point_number->sign = digits_sign_char; free (temporary_binary_low); free (power_binary_low); free (digits_binary_low); } return return_value; } #ifdef TRACE static void flonum_print (f) const FLONUM_TYPE *f; { LITTLENUM_TYPE *lp; char littlenum_format[10]; sprintf (littlenum_format, " %%0%dx", sizeof (LITTLENUM_TYPE) * 2); #define print_littlenum(LP) (printf (littlenum_format, LP)) printf ("flonum @%p %c e%ld", f, f->sign, f->exponent); if (f->low < f->high) for (lp = f->high; lp >= f->low; lp--) print_littlenum (*lp); else for (lp = f->low; lp <= f->high; lp++) print_littlenum (*lp); printf ("\n"); fflush (stdout); } #endif /* end of atof_generic.c */