1 | /* Print floating point number in hexadecimal notation according to ISO C99. |
2 | Copyright (C) 1997-2012 Free Software Foundation, Inc. |
3 | This file is part of the GNU C Library. |
4 | Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997. |
5 | |
6 | The GNU C Library is free software; you can redistribute it and/or |
7 | modify it under the terms of the GNU Lesser General Public |
8 | License as published by the Free Software Foundation; either |
9 | version 2.1 of the License, or (at your option) any later version. |
10 | |
11 | The GNU C Library is distributed in the hope that it will be useful, |
12 | but WITHOUT ANY WARRANTY; without even the implied warranty of |
13 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
14 | Lesser General Public License for more details. |
15 | |
16 | You should have received a copy of the GNU Lesser General Public |
17 | License along with the GNU C Library; if not, see |
18 | <http://www.gnu.org/licenses/>. */ |
19 | |
20 | #include <config.h> |
21 | #include <math.h> |
22 | #include <stdlib.h> |
23 | #include <stdio.h> |
24 | #include <string.h> |
25 | #include <stdbool.h> |
26 | #define NDEBUG |
27 | #include <assert.h> |
28 | #include "quadmath-rounding-mode.h" |
29 | #include "quadmath-printf.h" |
30 | #include "_itoa.h" |
31 | #include "_itowa.h" |
32 | |
33 | |
34 | /* Macros for doing the actual output. */ |
35 | |
36 | #define outchar(ch) \ |
37 | do \ |
38 | { \ |
39 | register const int outc = (ch); \ |
40 | if (PUTC (outc, fp) == EOF) \ |
41 | return -1; \ |
42 | ++done; \ |
43 | } while (0) |
44 | |
45 | #define PRINT(ptr, wptr, len) \ |
46 | do \ |
47 | { \ |
48 | register size_t outlen = (len); \ |
49 | if (wide) \ |
50 | while (outlen-- > 0) \ |
51 | outchar (*wptr++); \ |
52 | else \ |
53 | while (outlen-- > 0) \ |
54 | outchar (*ptr++); \ |
55 | } while (0) |
56 | |
57 | #define PADN(ch, len) \ |
58 | do \ |
59 | { \ |
60 | if (PAD (fp, ch, len) != len) \ |
61 | return -1; \ |
62 | done += len; \ |
63 | } \ |
64 | while (0) |
65 | |
66 | |
67 | |
68 | int |
69 | __quadmath_printf_fphex (struct __quadmath_printf_file *fp, |
70 | const struct printf_info *info, |
71 | const void *const *args) |
72 | { |
73 | /* The floating-point value to output. */ |
74 | ieee854_float128 fpnum; |
75 | |
76 | /* Locale-dependent representation of decimal point. */ |
77 | const char *decimal; |
78 | wchar_t decimalwc; |
79 | |
80 | /* "NaN" or "Inf" for the special cases. */ |
81 | const char *special = NULL; |
82 | const wchar_t *wspecial = NULL; |
83 | |
84 | /* Buffer for the generated number string for the mantissa. The |
85 | maximal size for the mantissa is 128 bits. */ |
86 | char numbuf[32]; |
87 | char *numstr; |
88 | char *numend; |
89 | wchar_t wnumbuf[32]; |
90 | wchar_t *wnumstr; |
91 | wchar_t *wnumend; |
92 | int negative; |
93 | |
94 | /* The maximal exponent of two in decimal notation has 5 digits. */ |
95 | char expbuf[5]; |
96 | char *expstr; |
97 | wchar_t wexpbuf[5]; |
98 | wchar_t *wexpstr; |
99 | int expnegative; |
100 | int exponent; |
101 | |
102 | /* Non-zero is mantissa is zero. */ |
103 | int zero_mantissa; |
104 | |
105 | /* The leading digit before the decimal point. */ |
106 | char leading; |
107 | |
108 | /* Precision. */ |
109 | int precision = info->prec; |
110 | |
111 | /* Width. */ |
112 | int width = info->width; |
113 | |
114 | /* Number of characters written. */ |
115 | int done = 0; |
116 | |
117 | /* Nonzero if this is output on a wide character stream. */ |
118 | int wide = info->wide; |
119 | |
120 | bool do_round_away; |
121 | |
122 | /* Figure out the decimal point character. */ |
123 | #ifdef USE_NL_LANGINFO |
124 | if (info->extra == 0) |
125 | decimal = nl_langinfo (DECIMAL_POINT); |
126 | else |
127 | { |
128 | decimal = nl_langinfo (MON_DECIMAL_POINT); |
129 | if (*decimal == '\0') |
130 | decimal = nl_langinfo (DECIMAL_POINT); |
131 | } |
132 | /* The decimal point character must never be zero. */ |
133 | assert (*decimal != '\0'); |
134 | #elif defined USE_LOCALECONV |
135 | const struct lconv *lc = localeconv (); |
136 | if (info->extra == 0) |
137 | decimal = lc->decimal_point; |
138 | else |
139 | { |
140 | decimal = lc->mon_decimal_point; |
141 | if (decimal == NULL || *decimal == '\0') |
142 | decimal = lc->decimal_point; |
143 | } |
144 | if (decimal == NULL || *decimal == '\0') |
145 | decimal = "." ; |
146 | #else |
147 | decimal = "." ; |
148 | #endif |
149 | #ifdef USE_NL_LANGINFO_WC |
150 | if (info->extra == 0) |
151 | decimalwc = nl_langinfo_wc (_NL_NUMERIC_DECIMAL_POINT_WC); |
152 | else |
153 | { |
154 | decimalwc = nl_langinfo_wc (_NL_MONETARY_DECIMAL_POINT_WC); |
155 | if (decimalwc == L_('\0')) |
156 | decimalwc = nl_langinfo_wc (_NL_NUMERIC_DECIMAL_POINT_WC); |
157 | } |
158 | /* The decimal point character must never be zero. */ |
159 | assert (decimalwc != L_('\0')); |
160 | #else |
161 | decimalwc = L_('.'); |
162 | #endif |
163 | |
164 | /* Fetch the argument value. */ |
165 | { |
166 | fpnum.value = **(const __float128 **) args[0]; |
167 | |
168 | /* Check for special values: not a number or infinity. */ |
169 | if (isnanq (fpnum.value)) |
170 | { |
171 | negative = fpnum.ieee.negative != 0; |
172 | if (isupper (info->spec)) |
173 | { |
174 | special = "NAN" ; |
175 | wspecial = L_("NAN" ); |
176 | } |
177 | else |
178 | { |
179 | special = "nan" ; |
180 | wspecial = L_("nan" ); |
181 | } |
182 | } |
183 | else |
184 | { |
185 | if (isinfq (fpnum.value)) |
186 | { |
187 | if (isupper (info->spec)) |
188 | { |
189 | special = "INF" ; |
190 | wspecial = L_("INF" ); |
191 | } |
192 | else |
193 | { |
194 | special = "inf" ; |
195 | wspecial = L_("inf" ); |
196 | } |
197 | } |
198 | |
199 | negative = signbitq (fpnum.value); |
200 | } |
201 | } |
202 | |
203 | if (special) |
204 | { |
205 | int width = info->width; |
206 | |
207 | if (negative || info->showsign || info->space) |
208 | --width; |
209 | width -= 3; |
210 | |
211 | if (!info->left && width > 0) |
212 | PADN (' ', width); |
213 | |
214 | if (negative) |
215 | outchar ('-'); |
216 | else if (info->showsign) |
217 | outchar ('+'); |
218 | else if (info->space) |
219 | outchar (' '); |
220 | |
221 | PRINT (special, wspecial, 3); |
222 | |
223 | if (info->left && width > 0) |
224 | PADN (' ', width); |
225 | |
226 | return done; |
227 | } |
228 | |
229 | { |
230 | /* We have 112 bits of mantissa plus one implicit digit. Since |
231 | 112 bits are representable without rest using hexadecimal |
232 | digits we use only the implicit digits for the number before |
233 | the decimal point. */ |
234 | uint64_t num0, num1; |
235 | |
236 | assert (sizeof (long double) == 16); |
237 | |
238 | num0 = fpnum.ieee.mant_high; |
239 | num1 = fpnum.ieee.mant_low; |
240 | |
241 | zero_mantissa = (num0|num1) == 0; |
242 | |
243 | if (sizeof (unsigned long int) > 6) |
244 | { |
245 | numstr = _itoa_word (num1, numbuf + sizeof numbuf, 16, |
246 | info->spec == 'A'); |
247 | wnumstr = _itowa_word (num1, |
248 | wnumbuf + sizeof (wnumbuf) / sizeof (wchar_t), |
249 | 16, info->spec == 'A'); |
250 | } |
251 | else |
252 | { |
253 | numstr = _itoa (num1, numbuf + sizeof numbuf, 16, |
254 | info->spec == 'A'); |
255 | wnumstr = _itowa (num1, |
256 | wnumbuf + sizeof (wnumbuf) / sizeof (wchar_t), |
257 | 16, info->spec == 'A'); |
258 | } |
259 | |
260 | while (numstr > numbuf + (sizeof numbuf - 64 / 4)) |
261 | { |
262 | *--numstr = '0'; |
263 | *--wnumstr = L_('0'); |
264 | } |
265 | |
266 | if (sizeof (unsigned long int) > 6) |
267 | { |
268 | numstr = _itoa_word (num0, numstr, 16, info->spec == 'A'); |
269 | wnumstr = _itowa_word (num0, wnumstr, 16, info->spec == 'A'); |
270 | } |
271 | else |
272 | { |
273 | numstr = _itoa (num0, numstr, 16, info->spec == 'A'); |
274 | wnumstr = _itowa (num0, wnumstr, 16, info->spec == 'A'); |
275 | } |
276 | |
277 | /* Fill with zeroes. */ |
278 | while (numstr > numbuf + (sizeof numbuf - 112 / 4)) |
279 | { |
280 | *--wnumstr = L_('0'); |
281 | *--numstr = '0'; |
282 | } |
283 | |
284 | leading = fpnum.ieee.exponent == 0 ? '0' : '1'; |
285 | |
286 | exponent = fpnum.ieee.exponent; |
287 | |
288 | if (exponent == 0) |
289 | { |
290 | if (zero_mantissa) |
291 | expnegative = 0; |
292 | else |
293 | { |
294 | /* This is a denormalized number. */ |
295 | expnegative = 1; |
296 | exponent = IEEE854_FLOAT128_BIAS - 1; |
297 | } |
298 | } |
299 | else if (exponent >= IEEE854_FLOAT128_BIAS) |
300 | { |
301 | expnegative = 0; |
302 | exponent -= IEEE854_FLOAT128_BIAS; |
303 | } |
304 | else |
305 | { |
306 | expnegative = 1; |
307 | exponent = -(exponent - IEEE854_FLOAT128_BIAS); |
308 | } |
309 | } |
310 | |
311 | /* Look for trailing zeroes. */ |
312 | if (! zero_mantissa) |
313 | { |
314 | wnumend = &wnumbuf[sizeof wnumbuf / sizeof wnumbuf[0]]; |
315 | numend = &numbuf[sizeof numbuf / sizeof numbuf[0]]; |
316 | while (wnumend[-1] == L_('0')) |
317 | { |
318 | --wnumend; |
319 | --numend; |
320 | } |
321 | |
322 | do_round_away = false; |
323 | |
324 | if (precision != -1 && precision < numend - numstr) |
325 | { |
326 | char last_digit = precision > 0 ? numstr[precision - 1] : leading; |
327 | char next_digit = numstr[precision]; |
328 | int last_digit_value = (last_digit >= 'A' && last_digit <= 'F' |
329 | ? last_digit - 'A' + 10 |
330 | : (last_digit >= 'a' && last_digit <= 'f' |
331 | ? last_digit - 'a' + 10 |
332 | : last_digit - '0')); |
333 | int next_digit_value = (next_digit >= 'A' && next_digit <= 'F' |
334 | ? next_digit - 'A' + 10 |
335 | : (next_digit >= 'a' && next_digit <= 'f' |
336 | ? next_digit - 'a' + 10 |
337 | : next_digit - '0')); |
338 | bool more_bits = ((next_digit_value & 7) != 0 |
339 | || precision + 1 < numend - numstr); |
340 | #ifdef HAVE_FENV_H |
341 | int rounding_mode = get_rounding_mode (); |
342 | do_round_away = round_away (negative, last_digit_value & 1, |
343 | next_digit_value >= 8, more_bits, |
344 | rounding_mode); |
345 | #endif |
346 | } |
347 | |
348 | if (precision == -1) |
349 | precision = numend - numstr; |
350 | else if (do_round_away) |
351 | { |
352 | /* Round up. */ |
353 | int cnt = precision; |
354 | while (--cnt >= 0) |
355 | { |
356 | char ch = numstr[cnt]; |
357 | /* We assume that the digits and the letters are ordered |
358 | like in ASCII. This is true for the rest of GNU, too. */ |
359 | if (ch == '9') |
360 | { |
361 | wnumstr[cnt] = (wchar_t) info->spec; |
362 | numstr[cnt] = info->spec; /* This is tricky, |
363 | think about it! */ |
364 | break; |
365 | } |
366 | else if (tolower (ch) < 'f') |
367 | { |
368 | ++numstr[cnt]; |
369 | ++wnumstr[cnt]; |
370 | break; |
371 | } |
372 | else |
373 | { |
374 | numstr[cnt] = '0'; |
375 | wnumstr[cnt] = L_('0'); |
376 | } |
377 | } |
378 | if (cnt < 0) |
379 | { |
380 | /* The mantissa so far was fff...f Now increment the |
381 | leading digit. Here it is again possible that we |
382 | get an overflow. */ |
383 | if (leading == '9') |
384 | leading = info->spec; |
385 | else if (tolower (leading) < 'f') |
386 | ++leading; |
387 | else |
388 | { |
389 | leading = '1'; |
390 | if (expnegative) |
391 | { |
392 | exponent -= 4; |
393 | if (exponent <= 0) |
394 | { |
395 | exponent = -exponent; |
396 | expnegative = 0; |
397 | } |
398 | } |
399 | else |
400 | exponent += 4; |
401 | } |
402 | } |
403 | } |
404 | } |
405 | else |
406 | { |
407 | if (precision == -1) |
408 | precision = 0; |
409 | numend = numstr; |
410 | wnumend = wnumstr; |
411 | } |
412 | |
413 | /* Now we can compute the exponent string. */ |
414 | expstr = _itoa_word (exponent, expbuf + sizeof expbuf, 10, 0); |
415 | wexpstr = _itowa_word (exponent, |
416 | wexpbuf + sizeof wexpbuf / sizeof (wchar_t), 10, 0); |
417 | |
418 | /* Now we have all information to compute the size. */ |
419 | width -= ((negative || info->showsign || info->space) |
420 | /* Sign. */ |
421 | + 2 + 1 + 0 + precision + 1 + 1 |
422 | /* 0x h . hhh P ExpoSign. */ |
423 | + ((expbuf + sizeof expbuf) - expstr)); |
424 | /* Exponent. */ |
425 | |
426 | /* Count the decimal point. |
427 | A special case when the mantissa or the precision is zero and the `#' |
428 | is not given. In this case we must not print the decimal point. */ |
429 | if (precision > 0 || info->alt) |
430 | width -= wide ? 1 : strlen (decimal); |
431 | |
432 | if (!info->left && info->pad != '0' && width > 0) |
433 | PADN (' ', width); |
434 | |
435 | if (negative) |
436 | outchar ('-'); |
437 | else if (info->showsign) |
438 | outchar ('+'); |
439 | else if (info->space) |
440 | outchar (' '); |
441 | |
442 | outchar ('0'); |
443 | if ('X' - 'A' == 'x' - 'a') |
444 | outchar (info->spec + ('x' - 'a')); |
445 | else |
446 | outchar (info->spec == 'A' ? 'X' : 'x'); |
447 | |
448 | if (!info->left && info->pad == '0' && width > 0) |
449 | PADN ('0', width); |
450 | |
451 | outchar (leading); |
452 | |
453 | if (precision > 0 || info->alt) |
454 | { |
455 | const wchar_t *wtmp = &decimalwc; |
456 | PRINT (decimal, wtmp, wide ? 1 : strlen (decimal)); |
457 | } |
458 | |
459 | if (precision > 0) |
460 | { |
461 | ssize_t tofill = precision - (numend - numstr); |
462 | PRINT (numstr, wnumstr, MIN (numend - numstr, precision)); |
463 | if (tofill > 0) |
464 | PADN ('0', tofill); |
465 | } |
466 | |
467 | if ('P' - 'A' == 'p' - 'a') |
468 | outchar (info->spec + ('p' - 'a')); |
469 | else |
470 | outchar (info->spec == 'A' ? 'P' : 'p'); |
471 | |
472 | outchar (expnegative ? '-' : '+'); |
473 | |
474 | PRINT (expstr, wexpstr, (expbuf + sizeof expbuf) - expstr); |
475 | |
476 | if (info->left && info->pad != '0' && width > 0) |
477 | PADN (info->pad, width); |
478 | |
479 | return done; |
480 | } |
481 | |