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      1 /* IEEE floating point support routines, for GDB, the GNU Debugger.
      2    Copyright 1991, 1994, 1999, 2000, 2003, 2005, 2006, 2010, 2012
      3    Free Software Foundation, Inc.
      4 
      5 This file is part of GDB.
      6 
      7 This program is free software; you can redistribute it and/or modify
      8 it under the terms of the GNU General Public License as published by
      9 the Free Software Foundation; either version 2 of the License, or
     10 (at your option) any later version.
     11 
     12 This program is distributed in the hope that it will be useful,
     13 but WITHOUT ANY WARRANTY; without even the implied warranty of
     14 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
     15 GNU General Public License for more details.
     16 
     17 You should have received a copy of the GNU General Public License
     18 along with this program; if not, write to the Free Software
     19 Foundation, Inc., 51 Franklin Street - Fifth Floor, Boston, MA 02110-1301, USA.  */
     20 
     21 /* This is needed to pick up the NAN macro on some systems.  */
     22 #define _GNU_SOURCE
     23 
     24 #ifdef HAVE_CONFIG_H
     25 #include "config.h"
     26 #endif
     27 
     28 #include <math.h>
     29 
     30 #ifdef HAVE_STRING_H
     31 #include <string.h>
     32 #endif
     33 
     34 /* On some platforms, <float.h> provides DBL_QNAN.  */
     35 #ifdef STDC_HEADERS
     36 #include <float.h>
     37 #endif
     38 
     39 #include "ansidecl.h"
     40 #include "libiberty.h"
     41 #include "floatformat.h"
     42 
     43 #ifndef INFINITY
     44 #ifdef HUGE_VAL
     45 #define INFINITY HUGE_VAL
     46 #else
     47 #define INFINITY (1.0 / 0.0)
     48 #endif
     49 #endif
     50 
     51 #ifndef NAN
     52 #ifdef DBL_QNAN
     53 #define NAN DBL_QNAN
     54 #else
     55 #define NAN (0.0 / 0.0)
     56 #endif
     57 #endif
     58 
     59 static int mant_bits_set (const struct floatformat *, const unsigned char *);
     60 static unsigned long get_field (const unsigned char *,
     61                                 enum floatformat_byteorders,
     62                                 unsigned int,
     63                                 unsigned int,
     64                                 unsigned int);
     65 static int floatformat_always_valid (const struct floatformat *fmt,
     66                                      const void *from);
     67 
     68 static int
     69 floatformat_always_valid (const struct floatformat *fmt ATTRIBUTE_UNUSED,
     70                           const void *from ATTRIBUTE_UNUSED)
     71 {
     72   return 1;
     73 }
     74 
     75 /* The odds that CHAR_BIT will be anything but 8 are low enough that I'm not
     76    going to bother with trying to muck around with whether it is defined in
     77    a system header, what we do if not, etc.  */
     78 #define FLOATFORMAT_CHAR_BIT 8
     79 
     80 /* floatformats for IEEE half, single and double, big and little endian.  */
     81 const struct floatformat floatformat_ieee_half_big =
     82 {
     83   floatformat_big, 16, 0, 1, 5, 15, 31, 6, 10,
     84   floatformat_intbit_no,
     85   "floatformat_ieee_half_big",
     86   floatformat_always_valid,
     87   NULL
     88 };
     89 const struct floatformat floatformat_ieee_half_little =
     90 {
     91   floatformat_little, 16, 0, 1, 5, 15, 31, 6, 10,
     92   floatformat_intbit_no,
     93   "floatformat_ieee_half_little",
     94   floatformat_always_valid,
     95   NULL
     96 };
     97 const struct floatformat floatformat_ieee_single_big =
     98 {
     99   floatformat_big, 32, 0, 1, 8, 127, 255, 9, 23,
    100   floatformat_intbit_no,
    101   "floatformat_ieee_single_big",
    102   floatformat_always_valid,
    103   NULL
    104 };
    105 const struct floatformat floatformat_ieee_single_little =
    106 {
    107   floatformat_little, 32, 0, 1, 8, 127, 255, 9, 23,
    108   floatformat_intbit_no,
    109   "floatformat_ieee_single_little",
    110   floatformat_always_valid,
    111   NULL
    112 };
    113 const struct floatformat floatformat_ieee_double_big =
    114 {
    115   floatformat_big, 64, 0, 1, 11, 1023, 2047, 12, 52,
    116   floatformat_intbit_no,
    117   "floatformat_ieee_double_big",
    118   floatformat_always_valid,
    119   NULL
    120 };
    121 const struct floatformat floatformat_ieee_double_little =
    122 {
    123   floatformat_little, 64, 0, 1, 11, 1023, 2047, 12, 52,
    124   floatformat_intbit_no,
    125   "floatformat_ieee_double_little",
    126   floatformat_always_valid,
    127   NULL
    128 };
    129 
    130 /* floatformat for IEEE double, little endian byte order, with big endian word
    131    ordering, as on the ARM.  */
    132 
    133 const struct floatformat floatformat_ieee_double_littlebyte_bigword =
    134 {
    135   floatformat_littlebyte_bigword, 64, 0, 1, 11, 1023, 2047, 12, 52,
    136   floatformat_intbit_no,
    137   "floatformat_ieee_double_littlebyte_bigword",
    138   floatformat_always_valid,
    139   NULL
    140 };
    141 
    142 /* floatformat for VAX.  Not quite IEEE, but close enough.  */
    143 
    144 const struct floatformat floatformat_vax_f =
    145 {
    146   floatformat_vax, 32, 0, 1, 8, 129, 0, 9, 23,
    147   floatformat_intbit_no,
    148   "floatformat_vax_f",
    149   floatformat_always_valid,
    150   NULL
    151 };
    152 const struct floatformat floatformat_vax_d =
    153 {
    154   floatformat_vax, 64, 0, 1, 8, 129, 0, 9, 55,
    155   floatformat_intbit_no,
    156   "floatformat_vax_d",
    157   floatformat_always_valid,
    158   NULL
    159 };
    160 const struct floatformat floatformat_vax_g =
    161 {
    162   floatformat_vax, 64, 0, 1, 11, 1025, 0, 12, 52,
    163   floatformat_intbit_no,
    164   "floatformat_vax_g",
    165   floatformat_always_valid,
    166   NULL
    167 };
    168 
    169 static int floatformat_i387_ext_is_valid (const struct floatformat *fmt,
    170 					  const void *from);
    171 
    172 static int
    173 floatformat_i387_ext_is_valid (const struct floatformat *fmt, const void *from)
    174 {
    175   /* In the i387 double-extended format, if the exponent is all ones,
    176      then the integer bit must be set.  If the exponent is neither 0
    177      nor ~0, the intbit must also be set.  Only if the exponent is
    178      zero can it be zero, and then it must be zero.  */
    179   unsigned long exponent, int_bit;
    180   const unsigned char *ufrom = (const unsigned char *) from;
    181 
    182   exponent = get_field (ufrom, fmt->byteorder, fmt->totalsize,
    183 			fmt->exp_start, fmt->exp_len);
    184   int_bit = get_field (ufrom, fmt->byteorder, fmt->totalsize,
    185 		       fmt->man_start, 1);
    186 
    187   if ((exponent == 0) != (int_bit == 0))
    188     return 0;
    189   else
    190     return 1;
    191 }
    192 
    193 const struct floatformat floatformat_i387_ext =
    194 {
    195   floatformat_little, 80, 0, 1, 15, 0x3fff, 0x7fff, 16, 64,
    196   floatformat_intbit_yes,
    197   "floatformat_i387_ext",
    198   floatformat_i387_ext_is_valid,
    199   NULL
    200 };
    201 const struct floatformat floatformat_m68881_ext =
    202 {
    203   /* Note that the bits from 16 to 31 are unused.  */
    204   floatformat_big, 96, 0, 1, 15, 0x3fff, 0x7fff, 32, 64,
    205   floatformat_intbit_yes,
    206   "floatformat_m68881_ext",
    207   floatformat_always_valid,
    208   NULL
    209 };
    210 const struct floatformat floatformat_i960_ext =
    211 {
    212   /* Note that the bits from 0 to 15 are unused.  */
    213   floatformat_little, 96, 16, 17, 15, 0x3fff, 0x7fff, 32, 64,
    214   floatformat_intbit_yes,
    215   "floatformat_i960_ext",
    216   floatformat_always_valid,
    217   NULL
    218 };
    219 const struct floatformat floatformat_m88110_ext =
    220 {
    221   floatformat_big, 80, 0, 1, 15, 0x3fff, 0x7fff, 16, 64,
    222   floatformat_intbit_yes,
    223   "floatformat_m88110_ext",
    224   floatformat_always_valid,
    225   NULL
    226 };
    227 const struct floatformat floatformat_m88110_harris_ext =
    228 {
    229   /* Harris uses raw format 128 bytes long, but the number is just an ieee
    230      double, and the last 64 bits are wasted. */
    231   floatformat_big,128, 0, 1, 11,  0x3ff,  0x7ff, 12, 52,
    232   floatformat_intbit_no,
    233   "floatformat_m88110_ext_harris",
    234   floatformat_always_valid,
    235   NULL
    236 };
    237 const struct floatformat floatformat_arm_ext_big =
    238 {
    239   /* Bits 1 to 16 are unused.  */
    240   floatformat_big, 96, 0, 17, 15, 0x3fff, 0x7fff, 32, 64,
    241   floatformat_intbit_yes,
    242   "floatformat_arm_ext_big",
    243   floatformat_always_valid,
    244   NULL
    245 };
    246 const struct floatformat floatformat_arm_ext_littlebyte_bigword =
    247 {
    248   /* Bits 1 to 16 are unused.  */
    249   floatformat_littlebyte_bigword, 96, 0, 17, 15, 0x3fff, 0x7fff, 32, 64,
    250   floatformat_intbit_yes,
    251   "floatformat_arm_ext_littlebyte_bigword",
    252   floatformat_always_valid,
    253   NULL
    254 };
    255 const struct floatformat floatformat_ia64_spill_big =
    256 {
    257   floatformat_big, 128, 0, 1, 17, 65535, 0x1ffff, 18, 64,
    258   floatformat_intbit_yes,
    259   "floatformat_ia64_spill_big",
    260   floatformat_always_valid,
    261   NULL
    262 };
    263 const struct floatformat floatformat_ia64_spill_little =
    264 {
    265   floatformat_little, 128, 0, 1, 17, 65535, 0x1ffff, 18, 64,
    266   floatformat_intbit_yes,
    267   "floatformat_ia64_spill_little",
    268   floatformat_always_valid,
    269   NULL
    270 };
    271 const struct floatformat floatformat_ia64_quad_big =
    272 {
    273   floatformat_big, 128, 0, 1, 15, 16383, 0x7fff, 16, 112,
    274   floatformat_intbit_no,
    275   "floatformat_ia64_quad_big",
    276   floatformat_always_valid,
    277   NULL
    278 };
    279 const struct floatformat floatformat_ia64_quad_little =
    280 {
    281   floatformat_little, 128, 0, 1, 15, 16383, 0x7fff, 16, 112,
    282   floatformat_intbit_no,
    283   "floatformat_ia64_quad_little",
    284   floatformat_always_valid,
    285   NULL
    286 };
    287 
    288 static int
    289 floatformat_ibm_long_double_is_valid (const struct floatformat *fmt,
    290 				      const void *from)
    291 {
    292   const unsigned char *ufrom = (const unsigned char *) from;
    293   const struct floatformat *hfmt = fmt->split_half;
    294   long top_exp, bot_exp;
    295   int top_nan = 0;
    296 
    297   top_exp = get_field (ufrom, hfmt->byteorder, hfmt->totalsize,
    298 		       hfmt->exp_start, hfmt->exp_len);
    299   bot_exp = get_field (ufrom + 8, hfmt->byteorder, hfmt->totalsize,
    300 		       hfmt->exp_start, hfmt->exp_len);
    301 
    302   if ((unsigned long) top_exp == hfmt->exp_nan)
    303     top_nan = mant_bits_set (hfmt, ufrom);
    304 
    305   /* A NaN is valid with any low part.  */
    306   if (top_nan)
    307     return 1;
    308 
    309   /* An infinity, zero or denormal requires low part 0 (positive or
    310      negative).  */
    311   if ((unsigned long) top_exp == hfmt->exp_nan || top_exp == 0)
    312     {
    313       if (bot_exp != 0)
    314 	return 0;
    315 
    316       return !mant_bits_set (hfmt, ufrom + 8);
    317     }
    318 
    319   /* The top part is now a finite normal value.  The long double value
    320      is the sum of the two parts, and the top part must equal the
    321      result of rounding the long double value to nearest double.  Thus
    322      the bottom part must be <= 0.5ulp of the top part in absolute
    323      value, and if it is < 0.5ulp then the long double is definitely
    324      valid.  */
    325   if (bot_exp < top_exp - 53)
    326     return 1;
    327   if (bot_exp > top_exp - 53 && bot_exp != 0)
    328     return 0;
    329   if (bot_exp == 0)
    330     {
    331       /* The bottom part is 0 or denormal.  Determine which, and if
    332 	 denormal the first two set bits.  */
    333       int first_bit = -1, second_bit = -1, cur_bit;
    334       for (cur_bit = 0; (unsigned int) cur_bit < hfmt->man_len; cur_bit++)
    335 	if (get_field (ufrom + 8, hfmt->byteorder, hfmt->totalsize,
    336 		       hfmt->man_start + cur_bit, 1))
    337 	  {
    338 	    if (first_bit == -1)
    339 	      first_bit = cur_bit;
    340 	    else
    341 	      {
    342 		second_bit = cur_bit;
    343 		break;
    344 	      }
    345 	  }
    346       /* Bottom part 0 is OK.  */
    347       if (first_bit == -1)
    348 	return 1;
    349       /* The real exponent of the bottom part is -first_bit.  */
    350       if (-first_bit < top_exp - 53)
    351 	return 1;
    352       if (-first_bit > top_exp - 53)
    353 	return 0;
    354       /* The bottom part is at least 0.5ulp of the top part.  For this
    355 	 to be OK, the bottom part must be exactly 0.5ulp (i.e. no
    356 	 more bits set) and the top part must have last bit 0.  */
    357       if (second_bit != -1)
    358 	return 0;
    359       return !get_field (ufrom, hfmt->byteorder, hfmt->totalsize,
    360 			 hfmt->man_start + hfmt->man_len - 1, 1);
    361     }
    362   else
    363     {
    364       /* The bottom part is at least 0.5ulp of the top part.  For this
    365 	 to be OK, it must be exactly 0.5ulp (i.e. no explicit bits
    366 	 set) and the top part must have last bit 0.  */
    367       if (get_field (ufrom, hfmt->byteorder, hfmt->totalsize,
    368 		     hfmt->man_start + hfmt->man_len - 1, 1))
    369 	return 0;
    370       return !mant_bits_set (hfmt, ufrom + 8);
    371     }
    372 }
    373 
    374 const struct floatformat floatformat_ibm_long_double_big =
    375 {
    376   floatformat_big, 128, 0, 1, 11, 1023, 2047, 12, 52,
    377   floatformat_intbit_no,
    378   "floatformat_ibm_long_double_big",
    379   floatformat_ibm_long_double_is_valid,
    380   &floatformat_ieee_double_big
    381 };
    382 
    383 const struct floatformat floatformat_ibm_long_double_little =
    384 {
    385   floatformat_little, 128, 0, 1, 11, 1023, 2047, 12, 52,
    386   floatformat_intbit_no,
    387   "floatformat_ibm_long_double_little",
    388   floatformat_ibm_long_double_is_valid,
    389   &floatformat_ieee_double_little
    390 };
    391 
    392 
    394 #ifndef min
    395 #define min(a, b) ((a) < (b) ? (a) : (b))
    396 #endif
    397 
    398 /* Return 1 if any bits are explicitly set in the mantissa of UFROM,
    399    format FMT, 0 otherwise.  */
    400 static int
    401 mant_bits_set (const struct floatformat *fmt, const unsigned char *ufrom)
    402 {
    403   unsigned int mant_bits, mant_off;
    404   int mant_bits_left;
    405 
    406   mant_off = fmt->man_start;
    407   mant_bits_left = fmt->man_len;
    408   while (mant_bits_left > 0)
    409     {
    410       mant_bits = min (mant_bits_left, 32);
    411 
    412       if (get_field (ufrom, fmt->byteorder, fmt->totalsize,
    413 		     mant_off, mant_bits) != 0)
    414 	return 1;
    415 
    416       mant_off += mant_bits;
    417       mant_bits_left -= mant_bits;
    418     }
    419   return 0;
    420 }
    421 
    422 /* Extract a field which starts at START and is LEN bits long.  DATA and
    423    TOTAL_LEN are the thing we are extracting it from, in byteorder ORDER.  */
    424 static unsigned long
    425 get_field (const unsigned char *data, enum floatformat_byteorders order,
    426            unsigned int total_len, unsigned int start, unsigned int len)
    427 {
    428   unsigned long result = 0;
    429   unsigned int cur_byte;
    430   int lo_bit, hi_bit, cur_bitshift = 0;
    431   int nextbyte = (order == floatformat_little) ? 1 : -1;
    432 
    433   /* Start is in big-endian bit order!  Fix that first.  */
    434   start = total_len - (start + len);
    435 
    436   /* Start at the least significant part of the field.  */
    437   if (order == floatformat_little)
    438     cur_byte = start / FLOATFORMAT_CHAR_BIT;
    439   else
    440     cur_byte = (total_len - start - 1) / FLOATFORMAT_CHAR_BIT;
    441 
    442   lo_bit = start % FLOATFORMAT_CHAR_BIT;
    443   hi_bit = min (lo_bit + len, FLOATFORMAT_CHAR_BIT);
    444 
    445   do
    446     {
    447       unsigned int shifted = *(data + cur_byte) >> lo_bit;
    448       unsigned int bits = hi_bit - lo_bit;
    449       unsigned int mask = (1 << bits) - 1;
    450       result |= (shifted & mask) << cur_bitshift;
    451       len -= bits;
    452       cur_bitshift += bits;
    453       cur_byte += nextbyte;
    454       lo_bit = 0;
    455       hi_bit = min (len, FLOATFORMAT_CHAR_BIT);
    456     }
    457   while (len != 0);
    458 
    459   return result;
    460 }
    461 
    462 /* Convert from FMT to a double.
    463    FROM is the address of the extended float.
    464    Store the double in *TO.  */
    465 
    466 void
    467 floatformat_to_double (const struct floatformat *fmt,
    468                        const void *from, double *to)
    469 {
    470   const unsigned char *ufrom = (const unsigned char *) from;
    471   double dto;
    472   long exponent;
    473   unsigned long mant;
    474   unsigned int mant_bits, mant_off;
    475   int mant_bits_left;
    476 
    477   /* Split values are not handled specially, since the top half has
    478      the correctly rounded double value (in the only supported case of
    479      split values).  */
    480 
    481   exponent = get_field (ufrom, fmt->byteorder, fmt->totalsize,
    482 			fmt->exp_start, fmt->exp_len);
    483 
    484   /* If the exponent indicates a NaN, we don't have information to
    485      decide what to do.  So we handle it like IEEE, except that we
    486      don't try to preserve the type of NaN.  FIXME.  */
    487   if ((unsigned long) exponent == fmt->exp_nan)
    488     {
    489       int nan = mant_bits_set (fmt, ufrom);
    490 
    491       /* On certain systems (such as GNU/Linux), the use of the
    492 	 INFINITY macro below may generate a warning that can not be
    493 	 silenced due to a bug in GCC (PR preprocessor/11931).  The
    494 	 preprocessor fails to recognise the __extension__ keyword in
    495 	 conjunction with the GNU/C99 extension for hexadecimal
    496 	 floating point constants and will issue a warning when
    497 	 compiling with -pedantic.  */
    498       if (nan)
    499 	dto = NAN;
    500       else
    501 	dto = INFINITY;
    502 
    503       if (get_field (ufrom, fmt->byteorder, fmt->totalsize, fmt->sign_start, 1))
    504 	dto = -dto;
    505 
    506       *to = dto;
    507 
    508       return;
    509     }
    510 
    511   mant_bits_left = fmt->man_len;
    512   mant_off = fmt->man_start;
    513   dto = 0.0;
    514 
    515   /* Build the result algebraically.  Might go infinite, underflow, etc;
    516      who cares. */
    517 
    518   /* For denorms use minimum exponent.  */
    519   if (exponent == 0)
    520     exponent = 1 - fmt->exp_bias;
    521   else
    522     {
    523       exponent -= fmt->exp_bias;
    524 
    525       /* If this format uses a hidden bit, explicitly add it in now.
    526 	 Otherwise, increment the exponent by one to account for the
    527 	 integer bit.  */
    528 
    529       if (fmt->intbit == floatformat_intbit_no)
    530 	dto = ldexp (1.0, exponent);
    531       else
    532 	exponent++;
    533     }
    534 
    535   while (mant_bits_left > 0)
    536     {
    537       mant_bits = min (mant_bits_left, 32);
    538 
    539       mant = get_field (ufrom, fmt->byteorder, fmt->totalsize,
    540 			 mant_off, mant_bits);
    541 
    542       dto += ldexp ((double) mant, exponent - mant_bits);
    543       exponent -= mant_bits;
    544       mant_off += mant_bits;
    545       mant_bits_left -= mant_bits;
    546     }
    547 
    548   /* Negate it if negative.  */
    549   if (get_field (ufrom, fmt->byteorder, fmt->totalsize, fmt->sign_start, 1))
    550     dto = -dto;
    551   *to = dto;
    552 }
    553 
    554 static void put_field (unsigned char *, enum floatformat_byteorders,
    556                        unsigned int,
    557                        unsigned int,
    558                        unsigned int,
    559                        unsigned long);
    560 
    561 /* Set a field which starts at START and is LEN bits long.  DATA and
    562    TOTAL_LEN are the thing we are extracting it from, in byteorder ORDER.  */
    563 static void
    564 put_field (unsigned char *data, enum floatformat_byteorders order,
    565            unsigned int total_len, unsigned int start, unsigned int len,
    566            unsigned long stuff_to_put)
    567 {
    568   unsigned int cur_byte;
    569   int lo_bit, hi_bit;
    570   int nextbyte = (order == floatformat_little) ? 1 : -1;
    571 
    572   /* Start is in big-endian bit order!  Fix that first.  */
    573   start = total_len - (start + len);
    574 
    575   /* Start at the least significant part of the field.  */
    576   if (order == floatformat_little)
    577     cur_byte = start / FLOATFORMAT_CHAR_BIT;
    578   else
    579     cur_byte = (total_len - start - 1) / FLOATFORMAT_CHAR_BIT;
    580 
    581   lo_bit = start % FLOATFORMAT_CHAR_BIT;
    582   hi_bit = min (lo_bit + len, FLOATFORMAT_CHAR_BIT);
    583 
    584   do
    585     {
    586       unsigned char *byte_ptr = data + cur_byte;
    587       unsigned int bits = hi_bit - lo_bit;
    588       unsigned int mask = ((1 << bits) - 1) << lo_bit;
    589       *byte_ptr = (*byte_ptr & ~mask) | ((stuff_to_put << lo_bit) & mask);
    590       stuff_to_put >>= bits;
    591       len -= bits;
    592       cur_byte += nextbyte;
    593       lo_bit = 0;
    594       hi_bit = min (len, FLOATFORMAT_CHAR_BIT);
    595     }
    596   while (len != 0);
    597 }
    598 
    599 /* The converse: convert the double *FROM to an extended float
    600    and store where TO points.  Neither FROM nor TO have any alignment
    601    restrictions.  */
    602 
    603 void
    604 floatformat_from_double (const struct floatformat *fmt,
    605                          const double *from, void *to)
    606 {
    607   double dfrom;
    608   int exponent;
    609   double mant;
    610   unsigned int mant_bits, mant_off;
    611   int mant_bits_left;
    612   unsigned char *uto = (unsigned char *) to;
    613 
    614   dfrom = *from;
    615   memset (uto, 0, fmt->totalsize / FLOATFORMAT_CHAR_BIT);
    616 
    617   /* Split values are not handled specially, since a bottom half of
    618      zero is correct for any value representable as double (in the
    619      only supported case of split values).  */
    620 
    621   /* If negative, set the sign bit.  */
    622   if (dfrom < 0)
    623     {
    624       put_field (uto, fmt->byteorder, fmt->totalsize, fmt->sign_start, 1, 1);
    625       dfrom = -dfrom;
    626     }
    627 
    628   if (dfrom == 0)
    629     {
    630       /* 0.0.  */
    631       return;
    632     }
    633 
    634   if (dfrom != dfrom)
    635     {
    636       /* NaN.  */
    637       put_field (uto, fmt->byteorder, fmt->totalsize, fmt->exp_start,
    638 		 fmt->exp_len, fmt->exp_nan);
    639       /* Be sure it's not infinity, but NaN value is irrelevant.  */
    640       put_field (uto, fmt->byteorder, fmt->totalsize, fmt->man_start,
    641 		 32, 1);
    642       return;
    643     }
    644 
    645   if (dfrom + dfrom == dfrom)
    646     {
    647       /* This can only happen for an infinite value (or zero, which we
    648 	 already handled above).  */
    649       put_field (uto, fmt->byteorder, fmt->totalsize, fmt->exp_start,
    650 		 fmt->exp_len, fmt->exp_nan);
    651       return;
    652     }
    653 
    654   mant = frexp (dfrom, &exponent);
    655   if (exponent + fmt->exp_bias - 1 > 0)
    656     put_field (uto, fmt->byteorder, fmt->totalsize, fmt->exp_start,
    657 	       fmt->exp_len, exponent + fmt->exp_bias - 1);
    658   else
    659     {
    660       /* Handle a denormalized number.  FIXME: What should we do for
    661 	 non-IEEE formats?  */
    662       put_field (uto, fmt->byteorder, fmt->totalsize, fmt->exp_start,
    663 		 fmt->exp_len, 0);
    664       mant = ldexp (mant, exponent + fmt->exp_bias - 1);
    665     }
    666 
    667   mant_bits_left = fmt->man_len;
    668   mant_off = fmt->man_start;
    669   while (mant_bits_left > 0)
    670     {
    671       unsigned long mant_long;
    672       mant_bits = mant_bits_left < 32 ? mant_bits_left : 32;
    673 
    674       mant *= 4294967296.0;
    675       mant_long = (unsigned long)mant;
    676       mant -= mant_long;
    677 
    678       /* If the integer bit is implicit, and we are not creating a
    679 	 denormalized number, then we need to discard it.  */
    680       if ((unsigned int) mant_bits_left == fmt->man_len
    681 	  && fmt->intbit == floatformat_intbit_no
    682 	  && exponent + fmt->exp_bias - 1 > 0)
    683 	{
    684 	  mant_long &= 0x7fffffff;
    685 	  mant_bits -= 1;
    686 	}
    687       else if (mant_bits < 32)
    688 	{
    689 	  /* The bits we want are in the most significant MANT_BITS bits of
    690 	     mant_long.  Move them to the least significant.  */
    691 	  mant_long >>= 32 - mant_bits;
    692 	}
    693 
    694       put_field (uto, fmt->byteorder, fmt->totalsize,
    695 		 mant_off, mant_bits, mant_long);
    696       mant_off += mant_bits;
    697       mant_bits_left -= mant_bits;
    698     }
    699 }
    700 
    701 /* Return non-zero iff the data at FROM is a valid number in format FMT.  */
    702 
    703 int
    704 floatformat_is_valid (const struct floatformat *fmt, const void *from)
    705 {
    706   return fmt->is_valid (fmt, from);
    707 }
    708 
    709 
    710 #ifdef IEEE_DEBUG
    711 
    712 #include <stdio.h>
    713 
    714 /* This is to be run on a host which uses IEEE floating point.  */
    715 
    716 void
    717 ieee_test (double n)
    718 {
    719   double result;
    720 
    721   floatformat_to_double (&floatformat_ieee_double_little, &n, &result);
    722   if ((n != result && (! isnan (n) || ! isnan (result)))
    723       || (n < 0 && result >= 0)
    724       || (n >= 0 && result < 0))
    725     printf ("Differ(to): %.20g -> %.20g\n", n, result);
    726 
    727   floatformat_from_double (&floatformat_ieee_double_little, &n, &result);
    728   if ((n != result && (! isnan (n) || ! isnan (result)))
    729       || (n < 0 && result >= 0)
    730       || (n >= 0 && result < 0))
    731     printf ("Differ(from): %.20g -> %.20g\n", n, result);
    732 
    733 #if 0
    734   {
    735     char exten[16];
    736 
    737     floatformat_from_double (&floatformat_m68881_ext, &n, exten);
    738     floatformat_to_double (&floatformat_m68881_ext, exten, &result);
    739     if (n != result)
    740       printf ("Differ(to+from): %.20g -> %.20g\n", n, result);
    741   }
    742 #endif
    743 
    744 #if IEEE_DEBUG > 1
    745   /* This is to be run on a host which uses 68881 format.  */
    746   {
    747     long double ex = *(long double *)exten;
    748     if (ex != n)
    749       printf ("Differ(from vs. extended): %.20g\n", n);
    750   }
    751 #endif
    752 }
    753 
    754 int
    755 main (void)
    756 {
    757   ieee_test (0.0);
    758   ieee_test (0.5);
    759   ieee_test (1.1);
    760   ieee_test (256.0);
    761   ieee_test (0.12345);
    762   ieee_test (234235.78907234);
    763   ieee_test (-512.0);
    764   ieee_test (-0.004321);
    765   ieee_test (1.2E-70);
    766   ieee_test (1.2E-316);
    767   ieee_test (4.9406564584124654E-324);
    768   ieee_test (- 4.9406564584124654E-324);
    769   ieee_test (- 0.0);
    770   ieee_test (- INFINITY);
    771   ieee_test (- NAN);
    772   ieee_test (INFINITY);
    773   ieee_test (NAN);
    774   return 0;
    775 }
    776 #endif
    777