1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
|
/* Internal function for converting integers to ASCII.
Copyright (C) 1994-2021 Free Software Foundation, Inc.
This file is part of the GNU C Library.
Contributed by Torbjorn Granlund <tege@matematik.su.se>
and Ulrich Drepper <drepper@gnu.org>.
The GNU C Library is free software; you can redistribute it and/or
modify it under the terms of the GNU Lesser General Public
License as published by the Free Software Foundation; either
version 2.1 of the License, or (at your option) any later version.
The GNU C Library 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
Lesser General Public License for more details.
You should have received a copy of the GNU Lesser General Public
License along with the GNU C Library; if not, see
<https://www.gnu.org/licenses/>. */
#include <gmp-mparam.h>
#include <gmp.h>
#include <limits.h>
#include <stdlib/gmp-impl.h>
#include <stdlib/longlong.h>
#include <_itowa.h>
/* Canonize environment. For some architectures not all values might
be defined in the GMP header files. */
#ifndef UMUL_TIME
# define UMUL_TIME 1
#endif
#ifndef UDIV_TIME
# define UDIV_TIME 3
#endif
/* Control memory layout. */
#ifdef PACK
# undef PACK
# define PACK __attribute__ ((packed))
#else
# define PACK
#endif
/* Declare local types. */
struct base_table_t
{
#if (UDIV_TIME > 2 * UMUL_TIME)
mp_limb_t base_multiplier;
#endif
char flag;
char post_shift;
#if BITS_PER_MP_LIMB == 32
struct
{
char normalization_steps;
char ndigits;
mp_limb_t base PACK;
#if UDIV_TIME > 2 * UMUL_TIME
mp_limb_t base_ninv PACK;
#endif
} big;
#endif
};
/* To reduce the memory needed we include some fields of the tables
only conditionally. */
#if UDIV_TIME > 2 * UMUL_TIME
# define SEL1(X) X,
# define SEL2(X) ,X
#else
# define SEL1(X)
# define SEL2(X)
#endif
/* Factor table for the different bases. */
extern const struct base_table_t _itoa_base_table[] attribute_hidden;
/* Lower-case digits. */
extern const wchar_t _itowa_lower_digits[] attribute_hidden;
/* Upper-case digits. */
extern const wchar_t _itowa_upper_digits[] attribute_hidden;
#if _ITOA_NEEDED
wchar_t *
_itowa (unsigned long long int value, wchar_t *buflim, unsigned int base,
int upper_case)
{
const wchar_t *digits = (upper_case
? _itowa_upper_digits : _itowa_lower_digits);
wchar_t *bp = buflim;
const struct base_table_t *brec = &_itoa_base_table[base - 2];
switch (base)
{
# define RUN_2N(BITS) \
do \
{ \
/* `unsigned long long int' always has 64 bits. */ \
mp_limb_t work_hi = value >> (64 - BITS_PER_MP_LIMB); \
\
if (BITS_PER_MP_LIMB == 32) \
{ \
if (work_hi != 0) \
{ \
mp_limb_t work_lo; \
int cnt; \
\
work_lo = value & 0xfffffffful; \
for (cnt = BITS_PER_MP_LIMB / BITS; cnt > 0; --cnt) \
{ \
*--bp = digits[work_lo & ((1ul << BITS) - 1)]; \
work_lo >>= BITS; \
} \
if (BITS_PER_MP_LIMB % BITS != 0) \
{ \
work_lo \
|= ((work_hi \
& ((1 << (BITS - BITS_PER_MP_LIMB%BITS)) \
- 1)) \
<< BITS_PER_MP_LIMB % BITS); \
work_hi >>= BITS - BITS_PER_MP_LIMB % BITS; \
if (work_hi == 0) \
work_hi = work_lo; \
else \
*--bp = digits[work_lo]; \
} \
} \
else \
work_hi = value & 0xfffffffful; \
} \
do \
{ \
*--bp = digits[work_hi & ((1 << BITS) - 1)]; \
work_hi >>= BITS; \
} \
while (work_hi != 0); \
} \
while (0)
case 8:
RUN_2N (3);
break;
case 16:
RUN_2N (4);
break;
default:
{
# if BITS_PER_MP_LIMB == 64
mp_limb_t base_multiplier = brec->base_multiplier;
if (brec->flag)
while (value != 0)
{
mp_limb_t quo, rem, x;
mp_limb_t dummy __attribute__ ((unused));
umul_ppmm (x, dummy, value, base_multiplier);
quo = (x + ((value - x) >> 1)) >> (brec->post_shift - 1);
rem = value - quo * base;
*--bp = digits[rem];
value = quo;
}
else
while (value != 0)
{
mp_limb_t quo, rem, x;
mp_limb_t dummy __attribute__ ((unused));
umul_ppmm (x, dummy, value, base_multiplier);
quo = x >> brec->post_shift;
rem = value - quo * base;
*--bp = digits[rem];
value = quo;
}
# endif
# if BITS_PER_MP_LIMB == 32
mp_limb_t t[3];
int n;
/* First convert x0 to 1-3 words in base s->big.base.
Optimize for frequent cases of 32 bit numbers. */
if ((mp_limb_t) (value >> 32) >= 1)
{
# if UDIV_TIME > 2 * UMUL_TIME || UDIV_NEEDS_NORMALIZATION
int big_normalization_steps = brec->big.normalization_steps;
mp_limb_t big_base_norm
= brec->big.base << big_normalization_steps;
# endif
if ((mp_limb_t) (value >> 32) >= brec->big.base)
{
mp_limb_t x1hi, x1lo, r;
/* If you want to optimize this, take advantage of
that the quotient in the first udiv_qrnnd will
always be very small. It might be faster just to
subtract in a tight loop. */
# if UDIV_TIME > 2 * UMUL_TIME
mp_limb_t x, xh, xl;
if (big_normalization_steps == 0)
xh = 0;
else
xh = (mp_limb_t) (value >> (64 - big_normalization_steps));
xl = (mp_limb_t) (value >> (32 - big_normalization_steps));
udiv_qrnnd_preinv (x1hi, r, xh, xl, big_base_norm,
brec->big.base_ninv);
xl = ((mp_limb_t) value) << big_normalization_steps;
udiv_qrnnd_preinv (x1lo, x, r, xl, big_base_norm,
brec->big.base_ninv);
t[2] = x >> big_normalization_steps;
if (big_normalization_steps == 0)
xh = x1hi;
else
xh = ((x1hi << big_normalization_steps)
| (x1lo >> (32 - big_normalization_steps)));
xl = x1lo << big_normalization_steps;
udiv_qrnnd_preinv (t[0], x, xh, xl, big_base_norm,
brec->big.base_ninv);
t[1] = x >> big_normalization_steps;
# elif UDIV_NEEDS_NORMALIZATION
mp_limb_t x, xh, xl;
if (big_normalization_steps == 0)
xh = 0;
else
xh = (mp_limb_t) (value >> 64 - big_normalization_steps);
xl = (mp_limb_t) (value >> 32 - big_normalization_steps);
udiv_qrnnd (x1hi, r, xh, xl, big_base_norm);
xl = ((mp_limb_t) value) << big_normalization_steps;
udiv_qrnnd (x1lo, x, r, xl, big_base_norm);
t[2] = x >> big_normalization_steps;
if (big_normalization_steps == 0)
xh = x1hi;
else
xh = ((x1hi << big_normalization_steps)
| (x1lo >> 32 - big_normalization_steps));
xl = x1lo << big_normalization_steps;
udiv_qrnnd (t[0], x, xh, xl, big_base_norm);
t[1] = x >> big_normalization_steps;
# else
udiv_qrnnd (x1hi, r, 0, (mp_limb_t) (value >> 32),
brec->big.base);
udiv_qrnnd (x1lo, t[2], r, (mp_limb_t) value, brec->big.base);
udiv_qrnnd (t[0], t[1], x1hi, x1lo, brec->big.base);
# endif
n = 3;
}
else
{
# if UDIV_TIME > 2 * UMUL_TIME
mp_limb_t x;
value <<= brec->big.normalization_steps;
udiv_qrnnd_preinv (t[0], x, (mp_limb_t) (value >> 32),
(mp_limb_t) value, big_base_norm,
brec->big.base_ninv);
t[1] = x >> brec->big.normalization_steps;
# elif UDIV_NEEDS_NORMALIZATION
mp_limb_t x;
value <<= big_normalization_steps;
udiv_qrnnd (t[0], x, (mp_limb_t) (value >> 32),
(mp_limb_t) value, big_base_norm);
t[1] = x >> big_normalization_steps;
# else
udiv_qrnnd (t[0], t[1], (mp_limb_t) (value >> 32),
(mp_limb_t) value, brec->big.base);
# endif
n = 2;
}
}
else
{
t[0] = value;
n = 1;
}
/* Convert the 1-3 words in t[], word by word, to ASCII. */
do
{
mp_limb_t ti = t[--n];
int ndig_for_this_limb = 0;
# if UDIV_TIME > 2 * UMUL_TIME
mp_limb_t base_multiplier = brec->base_multiplier;
if (brec->flag)
while (ti != 0)
{
mp_limb_t quo, rem, x;
mp_limb_t dummy __attribute__ ((unused));
umul_ppmm (x, dummy, ti, base_multiplier);
quo = (x + ((ti - x) >> 1)) >> (brec->post_shift - 1);
rem = ti - quo * base;
*--bp = digits[rem];
ti = quo;
++ndig_for_this_limb;
}
else
while (ti != 0)
{
mp_limb_t quo, rem, x;
mp_limb_t dummy __attribute__ ((unused));
umul_ppmm (x, dummy, ti, base_multiplier);
quo = x >> brec->post_shift;
rem = ti - quo * base;
*--bp = digits[rem];
ti = quo;
++ndig_for_this_limb;
}
# else
while (ti != 0)
{
mp_limb_t quo, rem;
quo = ti / base;
rem = ti % base;
*--bp = digits[rem];
ti = quo;
++ndig_for_this_limb;
}
# endif
/* If this wasn't the most significant word, pad with zeros. */
if (n != 0)
while (ndig_for_this_limb < brec->big.ndigits)
{
*--bp = '0';
++ndig_for_this_limb;
}
}
while (n != 0);
# endif
}
break;
}
return bp;
}
#endif
|
