-
Notifications
You must be signed in to change notification settings - Fork 1
/
mpfr.c
1655 lines (1408 loc) · 34.7 KB
/
mpfr.c
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
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
/*
* mpfr.c - routines for arbitrary-precision number support in gawk.
*/
/*
* Copyright (C) 2012, 2013 the Free Software Foundation, Inc.
*
* This file is part of GAWK, the GNU implementation of the
* AWK Programming Language.
*
* GAWK 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 of the License, or
* (at your option) any later version.
*
* GAWK 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 this program; if not, write to the Free Software
* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA
*/
#include "awk.h"
#ifdef HAVE_MPFR
#if !defined(MPFR_VERSION_MAJOR) || MPFR_VERSION_MAJOR < 3
typedef mp_exp_t mpfr_exp_t;
#endif
extern NODE **fmt_list; /* declared in eval.c */
mpz_t mpzval; /* GMP integer type, used as temporary in few places */
mpz_t MNR;
mpz_t MFNR;
bool do_ieee_fmt; /* IEEE-754 floating-point emulation */
mpfr_rnd_t ROUND_MODE;
static mpfr_rnd_t get_rnd_mode(const char rmode);
static NODE *mpg_force_number(NODE *n);
static NODE *mpg_make_number(double);
static NODE *mpg_format_val(const char *format, int index, NODE *s);
static int mpg_interpret(INSTRUCTION **cp);
static mpfr_exp_t min_exp = MPFR_EMIN_DEFAULT;
static mpfr_exp_t max_exp = MPFR_EMAX_DEFAULT;
/* temporary MPFR floats used to hold converted GMP integer operands */
static mpfr_t _mpf_t1;
static mpfr_t _mpf_t2;
/*
* PRECISION_MIN is the precision used to initialize _mpf_t1 and _mpf_t2.
* 64 bits should be enough for exact conversion of most integers to floats.
*/
#define PRECISION_MIN 64
/* mf = { _mpf_t1, _mpf_t2 } */
static inline mpfr_ptr mpg_tofloat(mpfr_ptr mf, mpz_ptr mz);
/* T = {t1, t2} */
#define MP_FLOAT(T) is_mpg_integer(T) ? mpg_tofloat(_mpf_##T, (T)->mpg_i) : (T)->mpg_numbr
/* init_mpfr --- set up MPFR related variables */
void
init_mpfr(mpfr_prec_t prec, const char *rmode)
{
mpfr_set_default_prec(prec);
ROUND_MODE = get_rnd_mode(rmode[0]);
mpfr_set_default_rounding_mode(ROUND_MODE);
make_number = mpg_make_number;
str2number = mpg_force_number;
format_val = mpg_format_val;
cmp_numbers = mpg_cmp;
mpz_init(MNR);
mpz_init(MFNR);
do_ieee_fmt = false;
mpfr_init2(_mpf_t1, PRECISION_MIN);
mpfr_init2(_mpf_t2, PRECISION_MIN);
mpz_init(mpzval);
register_exec_hook(mpg_interpret, 0);
}
/* mpg_node --- allocate a node to store MPFR float or GMP integer */
NODE *
mpg_node(unsigned int tp)
{
NODE *r;
getnode(r);
r->type = Node_val;
if (tp == MPFN) {
/* Initialize, set precision to the default precision, and value to NaN */
mpfr_init(r->mpg_numbr);
r->flags = MPFN;
} else {
/* Initialize and set value to 0 */
mpz_init(r->mpg_i);
r->flags = MPZN;
}
r->valref = 1;
r->flags |= MALLOC|NUMBER|NUMCUR;
r->stptr = NULL;
r->stlen = 0;
#if MBS_SUPPORT
r->wstptr = NULL;
r->wstlen = 0;
#endif /* defined MBS_SUPPORT */
return r;
}
/*
* mpg_make_number --- make a arbitrary-precision number node
* and initialize with a C double
*/
static NODE *
mpg_make_number(double x)
{
NODE *r;
double ival;
if ((ival = double_to_int(x)) != x) {
int tval;
r = mpg_float();
tval = mpfr_set_d(r->mpg_numbr, x, ROUND_MODE);
IEEE_FMT(r->mpg_numbr, tval);
} else {
r = mpg_integer();
mpz_set_d(r->mpg_i, ival);
}
return r;
}
/* mpg_strtoui --- assign arbitrary-precision integral value from a string */
int
mpg_strtoui(mpz_ptr zi, char *str, size_t len, char **end, int base)
{
char *s = str;
char *start;
int ret = -1;
/*
* mpz_set_str does not like leading 0x or 0X for hex (or 0 for octal)
* with a non-zero base argument.
*/
if (base == 16 && len >= 2 && *s == '0' && (s[1] == 'x' || s[1] == 'X')) {
s += 2; len -= 2;
} else if (base == 8 && len >= 1 && *s == '0') {
s++; len--;
}
start = s;
while (len > 0) {
switch (*s) {
case '0':
case '1':
case '2':
case '3':
case '4':
case '5':
case '6':
case '7':
break;
case '8':
case '9':
if (base == 8)
goto done;
break;
case 'a':
case 'b':
case 'c':
case 'd':
case 'e':
case 'f':
case 'A':
case 'B':
case 'C':
case 'D':
case 'E':
case 'F':
if (base == 16)
break;
default:
goto done;
}
s++; len--;
}
done:
if (s > start) {
char save = *s;
*s = '\0';
ret = mpz_set_str(zi, start, base);
*s = save;
}
if (end != NULL)
*end = s;
return ret;
}
/* mpg_maybe_float --- test if a string may contain arbitrary-precision float */
static int
mpg_maybe_float(const char *str, int use_locale)
{
int dec_point = '.';
const char *s = str;
#if defined(HAVE_LOCALE_H)
/*
* loc.decimal_point may not have been initialized yet,
* so double check it before using it.
*/
if (use_locale && loc.decimal_point != NULL && loc.decimal_point[0] != '\0')
dec_point = loc.decimal_point[0]; /* XXX --- assumes one char */
#endif
if (strlen(s) >= 3
&& ( ( (s[0] == 'i' || s[0] == 'I')
&& (s[1] == 'n' || s[1] == 'N')
&& (s[2] == 'f' || s[2] == 'F'))
|| ( (s[0] == 'n' || s[0] == 'N')
&& (s[1] == 'a' || s[1] == 'A')
&& (s[2] == 'n' || s[2] == 'N'))))
return true;
for (; *s != '\0'; s++) {
if (*s == dec_point || *s == 'e' || *s == 'E')
return true;
}
return false;
}
/* mpg_zero --- initialize with arbitrary-precision integer(GMP) and set value to zero */
static inline void
mpg_zero(NODE *n)
{
if (is_mpg_float(n)) {
mpfr_clear(n->mpg_numbr);
n->flags &= ~MPFN;
}
if (! is_mpg_integer(n)) {
mpz_init(n->mpg_i); /* this also sets its value to 0 */
n->flags |= MPZN;
} else
mpz_set_si(n->mpg_i, 0);
}
/* force_mpnum --- force a value to be a GMP integer or MPFR float */
static int
force_mpnum(NODE *n, int do_nondec, int use_locale)
{
char *cp, *cpend, *ptr, *cp1;
char save;
int tval, base = 10;
if (n->stlen == 0) {
mpg_zero(n);
return false;
}
cp = n->stptr;
cpend = n->stptr + n->stlen;
while (cp < cpend && isspace((unsigned char) *cp))
cp++;
if (cp == cpend) { /* only spaces */
mpg_zero(n);
return false;
}
save = *cpend;
*cpend = '\0';
if (*cp == '+' || *cp == '-')
cp1 = cp + 1;
else
cp1 = cp;
if (do_nondec)
base = get_numbase(cp1, use_locale);
if (! mpg_maybe_float(cp1, use_locale)) {
mpg_zero(n);
errno = 0;
mpg_strtoui(n->mpg_i, cp1, cpend - cp1, & ptr, base);
if (*cp == '-')
mpz_neg(n->mpg_i, n->mpg_i);
goto done;
}
if (is_mpg_integer(n)) {
mpz_clear(n->mpg_i);
n->flags &= ~MPZN;
}
if (! is_mpg_float(n)) {
mpfr_init(n->mpg_numbr);
n->flags |= MPFN;
}
errno = 0;
tval = mpfr_strtofr(n->mpg_numbr, cp, & ptr, base, ROUND_MODE);
IEEE_FMT(n->mpg_numbr, tval);
done:
/* trailing space is OK for NUMBER */
while (isspace((unsigned char) *ptr))
ptr++;
*cpend = save;
if (errno == 0 && ptr == cpend)
return true;
errno = 0;
return false;
}
/* mpg_force_number --- force a value to be a multiple-precision number */
static NODE *
mpg_force_number(NODE *n)
{
unsigned int newflags = 0;
if (is_mpg_number(n) && (n->flags & NUMCUR) != 0)
return n;
if ((n->flags & MAYBE_NUM) != 0) {
n->flags &= ~MAYBE_NUM;
newflags = NUMBER;
}
if (force_mpnum(n, (do_non_decimal_data && ! do_traditional), true)) {
n->flags |= newflags;
n->flags |= NUMCUR;
}
return n;
}
/* mpg_format_val --- format a numeric value based on format */
static NODE *
mpg_format_val(const char *format, int index, NODE *s)
{
NODE *dummy[2], *r;
unsigned int oflags;
/* create dummy node for a sole use of format_tree */
dummy[1] = s;
oflags = s->flags;
if (is_mpg_integer(s) || mpfr_integer_p(s->mpg_numbr)) {
/* integral value, use %d */
r = format_tree("%d", 2, dummy, 2);
s->stfmt = -1;
} else {
r = format_tree(format, fmt_list[index]->stlen, dummy, 2);
assert(r != NULL);
s->stfmt = (char) index;
}
s->flags = oflags;
s->stlen = r->stlen;
if ((s->flags & STRCUR) != 0)
efree(s->stptr);
s->stptr = r->stptr;
freenode(r); /* Do not unref(r)! We want to keep s->stptr == r->stpr. */
s->flags |= STRCUR;
free_wstr(s);
return s;
}
/* mpg_cmp --- compare two numbers */
int
mpg_cmp(const NODE *t1, const NODE *t2)
{
/*
* For the purposes of sorting, NaN is considered greater than
* any other value, and all NaN values are considered equivalent and equal.
*/
if (is_mpg_float(t1)) {
if (is_mpg_float(t2)) {
if (mpfr_nan_p(t1->mpg_numbr))
return ! mpfr_nan_p(t2->mpg_numbr);
if (mpfr_nan_p(t2->mpg_numbr))
return -1;
return mpfr_cmp(t1->mpg_numbr, t2->mpg_numbr);
}
if (mpfr_nan_p(t1->mpg_numbr))
return 1;
return mpfr_cmp_z(t1->mpg_numbr, t2->mpg_i);
} else if (is_mpg_float(t2)) {
int ret;
if (mpfr_nan_p(t2->mpg_numbr))
return -1;
ret = mpfr_cmp_z(t2->mpg_numbr, t1->mpg_i);
return ret > 0 ? -1 : (ret < 0);
} else if (is_mpg_integer(t1)) {
return mpz_cmp(t1->mpg_i, t2->mpg_i);
}
/* t1 and t2 are AWKNUMs */
return cmp_awknums(t1, t2);
}
/*
* mpg_update_var --- update NR or FNR.
* NR_node->var_value(mpz_t) = MNR(mpz_t) * LONG_MAX + NR(long)
*/
NODE *
mpg_update_var(NODE *n)
{
NODE *val = n->var_value;
long nr = 0;
mpz_ptr nq = 0;
if (n == NR_node) {
nr = NR;
nq = MNR;
} else if (n == FNR_node) {
nr = FNR;
nq = MFNR;
} else
cant_happen();
if (mpz_sgn(nq) == 0) {
/* Efficiency hack similar to that for AWKNUM */
if (is_mpg_float(val) || mpz_get_si(val->mpg_i) != nr) {
unref(n->var_value);
val = n->var_value = mpg_integer();
mpz_set_si(val->mpg_i, nr);
}
} else {
unref(n->var_value);
val = n->var_value = mpg_integer();
mpz_set_si(val->mpg_i, nr);
mpz_addmul_ui(val->mpg_i, nq, LONG_MAX); /* val->mpg_i += nq * LONG_MAX */
}
return val;
}
/* mpg_set_var --- set NR or FNR */
long
mpg_set_var(NODE *n)
{
long nr = 0;
mpz_ptr nq = 0, r;
NODE *val = n->var_value;
if (n == NR_node)
nq = MNR;
else if (n == FNR_node)
nq = MFNR;
else
cant_happen();
if (is_mpg_integer(val))
r = val->mpg_i;
else {
/* convert float to integer */
mpfr_get_z(mpzval, val->mpg_numbr, MPFR_RNDZ);
r = mpzval;
}
nr = mpz_fdiv_q_ui(nq, r, LONG_MAX); /* nq (MNR or MFNR) is quotient */
return nr; /* remainder (NR or FNR) */
}
/* set_PREC --- update MPFR PRECISION related variables when PREC assigned to */
void
set_PREC()
{
long prec = 0;
NODE *val;
static const struct ieee_fmt {
const char *name;
mpfr_prec_t precision;
mpfr_exp_t emax;
mpfr_exp_t emin;
} ieee_fmts[] = {
{ "half", 11, 16, -23 }, /* binary16 */
{ "single", 24, 128, -148 }, /* binary32 */
{ "double", 53, 1024, -1073 }, /* binary64 */
{ "quad", 113, 16384, -16493 }, /* binary128 */
{ "oct", 237, 262144, -262377 }, /* binary256, not in the IEEE 754-2008 standard */
/*
* For any bitwidth = 32 * k ( k >= 4),
* precision = 13 + bitwidth - int(4 * log2(bitwidth))
* emax = 1 << bitwidth - precision - 1
* emin = 4 - emax - precision
*/
};
if (! do_mpfr)
return;
val = PREC_node->var_value;
if ((val->flags & MAYBE_NUM) != 0)
force_number(val);
if ((val->flags & (STRING|NUMBER)) == STRING) {
int i, j;
/* emulate IEEE-754 binary format */
for (i = 0, j = sizeof(ieee_fmts)/sizeof(ieee_fmts[0]); i < j; i++) {
if (strcasecmp(ieee_fmts[i].name, val->stptr) == 0)
break;
}
if (i < j) {
prec = ieee_fmts[i].precision;
/*
* We *DO NOT* change the MPFR exponent range using
* mpfr_set_{emin, emax} here. See format_ieee() for details.
*/
max_exp = ieee_fmts[i].emax;
min_exp = ieee_fmts[i].emin;
do_ieee_fmt = true;
}
}
if (prec <= 0) {
force_number(val);
prec = get_number_si(val);
if (prec < MPFR_PREC_MIN || prec > MPFR_PREC_MAX) {
force_string(val);
warning(_("PREC value `%.*s' is invalid"), (int) val->stlen, val->stptr);
prec = 0;
} else
do_ieee_fmt = false;
}
if (prec > 0)
mpfr_set_default_prec(prec);
}
/* get_rnd_mode --- convert string to MPFR rounding mode */
static mpfr_rnd_t
get_rnd_mode(const char rmode)
{
switch (rmode) {
case 'N':
case 'n':
return MPFR_RNDN; /* round to nearest (IEEE-754 roundTiesToEven) */
case 'Z':
case 'z':
return MPFR_RNDZ; /* round toward zero (IEEE-754 roundTowardZero) */
case 'U':
case 'u':
return MPFR_RNDU; /* round toward plus infinity (IEEE-754 roundTowardPositive) */
case 'D':
case 'd':
return MPFR_RNDD; /* round toward minus infinity (IEEE-754 roundTowardNegative) */
#if defined(MPFR_VERSION_MAJOR) && MPFR_VERSION_MAJOR > 2
case 'A':
case 'a':
return MPFR_RNDA; /* round away from zero (IEEE-754 roundTiesToAway) */
#endif
default:
break;
}
return -1;
}
/*
* set_ROUNDMODE --- update MPFR rounding mode related variables
* when ROUNDMODE assigned to
*/
void
set_ROUNDMODE()
{
if (do_mpfr) {
mpfr_rnd_t rndm = -1;
NODE *n;
n = force_string(ROUNDMODE_node->var_value);
if (n->stlen == 1)
rndm = get_rnd_mode(n->stptr[0]);
if (rndm != -1) {
mpfr_set_default_rounding_mode(rndm);
ROUND_MODE = rndm;
} else
warning(_("RNDMODE value `%.*s' is invalid"), (int) n->stlen, n->stptr);
}
}
/* format_ieee --- make sure a number follows IEEE-754 floating-point standard */
int
format_ieee(mpfr_ptr x, int tval)
{
/*
* The MPFR doc says that it's our responsibility to make sure all numbers
* including those previously created are in range after we've changed the
* exponent range. Most MPFR operations and functions require
* the input arguments to have exponents within the current exponent range.
* Any argument outside the range results in a MPFR assertion failure
* like this:
*
* $ gawk -M 'BEGIN { x=1.0e-10000; print x+0; PREC="double"; print x+0}'
* 1e-10000
* init2.c:52: MPFR assertion failed ....
*
* A "naive" approach would be to keep track of the ternary state and
* the rounding mode for each number, and make sure it is in the current
* exponent range (using mpfr_check_range) before using it in an
* operation or function. Instead, we adopt the following strategy.
*
* When gawk starts, the exponent range is the MPFR default
* [MPFR_EMIN_DEFAULT, MPFR_EMAX_DEFAULT]. Any number that gawk
* creates must have exponent in this range (excluding infinities, NaNs and zeros).
* Each MPFR operation or function is performed with this default exponent
* range.
*
* When emulating IEEE-754 format, the exponents are *temporarily* changed,
* mpfr_check_range is called to make sure the number is in the new range,
* and mpfr_subnormalize is used to round following the rules of subnormal
* arithmetic. The exponent range is then *restored* to the original value
* [MPFR_EMIN_DEFAULT, MPFR_EMAX_DEFAULT].
*/
(void) mpfr_set_emin(min_exp);
(void) mpfr_set_emax(max_exp);
tval = mpfr_check_range(x, tval, ROUND_MODE);
tval = mpfr_subnormalize(x, tval, ROUND_MODE);
(void) mpfr_set_emin(MPFR_EMIN_DEFAULT);
(void) mpfr_set_emax(MPFR_EMAX_DEFAULT);
return tval;
}
/* do_mpfr_atan2 --- do the atan2 function */
NODE *
do_mpfr_atan2(int nargs)
{
NODE *t1, *t2, *res;
mpfr_ptr p1, p2;
int tval;
t2 = POP_SCALAR();
t1 = POP_SCALAR();
if (do_lint) {
if ((t1->flags & (NUMCUR|NUMBER)) == 0)
lintwarn(_("atan2: received non-numeric first argument"));
if ((t2->flags & (NUMCUR|NUMBER)) == 0)
lintwarn(_("atan2: received non-numeric second argument"));
}
force_number(t1);
force_number(t2);
p1 = MP_FLOAT(t1);
p2 = MP_FLOAT(t2);
res = mpg_float();
/* See MPFR documentation for handling of special values like +inf as an argument */
tval = mpfr_atan2(res->mpg_numbr, p1, p2, ROUND_MODE);
IEEE_FMT(res->mpg_numbr, tval);
DEREF(t1);
DEREF(t2);
return res;
}
#define SPEC_MATH(X) \
NODE *t1, *res; \
mpfr_ptr p1; \
int tval; \
t1 = POP_SCALAR(); \
if (do_lint && (t1->flags & (NUMCUR|NUMBER)) == 0) \
lintwarn(_("%s: received non-numeric argument"), #X); \
force_number(t1); \
p1 = MP_FLOAT(t1); \
res = mpg_float(); \
tval = mpfr_##X(res->mpg_numbr, p1, ROUND_MODE); \
IEEE_FMT(res->mpg_numbr, tval); \
DEREF(t1); \
return res
/* do_mpfr_sin --- do the sin function */
NODE *
do_mpfr_sin(int nargs)
{
SPEC_MATH(sin);
}
/* do_mpfr_cos --- do the cos function */
NODE *
do_mpfr_cos(int nargs)
{
SPEC_MATH(cos);
}
/* do_mpfr_exp --- exponential function */
NODE *
do_mpfr_exp(int nargs)
{
SPEC_MATH(exp);
}
/* do_mpfr_log --- the log function */
NODE *
do_mpfr_log(int nargs)
{
SPEC_MATH(log);
}
/* do_mpfr_sqrt --- do the sqrt function */
NODE *
do_mpfr_sqrt(int nargs)
{
SPEC_MATH(sqrt);
}
/* do_mpfr_int --- convert double to int for awk */
NODE *
do_mpfr_int(int nargs)
{
NODE *tmp, *r;
tmp = POP_SCALAR();
if (do_lint && (tmp->flags & (NUMCUR|NUMBER)) == 0)
lintwarn(_("int: received non-numeric argument"));
force_number(tmp);
if (is_mpg_integer(tmp)) {
r = mpg_integer();
mpz_set(r->mpg_i, tmp->mpg_i);
} else {
if (! mpfr_number_p(tmp->mpg_numbr)) {
/* [+-]inf or NaN */
return tmp;
}
r = mpg_integer();
mpfr_get_z(r->mpg_i, tmp->mpg_numbr, MPFR_RNDZ);
}
DEREF(tmp);
return r;
}
/* do_mpfr_compl --- perform a ~ operation */
NODE *
do_mpfr_compl(int nargs)
{
NODE *tmp, *r;
mpz_ptr zptr;
tmp = POP_SCALAR();
if (do_lint && (tmp->flags & (NUMCUR|NUMBER)) == 0)
lintwarn(_("compl: received non-numeric argument"));
force_number(tmp);
if (is_mpg_float(tmp)) {
mpfr_ptr p = tmp->mpg_numbr;
if (! mpfr_number_p(p)) {
/* [+-]inf or NaN */
return tmp;
}
if (do_lint) {
if (mpfr_sgn(p) < 0)
lintwarn("%s",
mpg_fmt(_("compl(%Rg): negative value will give strange results"), p)
);
if (! mpfr_integer_p(p))
lintwarn("%s",
mpg_fmt(_("comp(%Rg): fractional value will be truncated"), p)
);
}
mpfr_get_z(mpzval, p, MPFR_RNDZ); /* float to integer conversion */
zptr = mpzval;
} else {
/* (tmp->flags & MPZN) != 0 */
zptr = tmp->mpg_i;
if (do_lint) {
if (mpz_sgn(zptr) < 0)
lintwarn("%s",
mpg_fmt(_("cmpl(%Zd): negative values will give strange results"), zptr)
);
}
}
r = mpg_integer();
mpz_com(r->mpg_i, zptr);
DEREF(tmp);
return r;
}
/* get_intval --- get the (converted) integral operand of a binary function. */
static mpz_ptr
get_intval(NODE *t1, int argnum, const char *op)
{
mpz_ptr pz;
if (do_lint && (t1->flags & (NUMCUR|NUMBER)) == 0)
lintwarn(_("%s: received non-numeric argument #%d"), op, argnum);
(void) force_number(t1);
if (is_mpg_float(t1)) {
mpfr_ptr left = t1->mpg_numbr;
if (! mpfr_number_p(left)) {
/* inf or NaN */
if (do_lint)
lintwarn("%s",
mpg_fmt(_("%s: argument #%d has invalid value %Rg, using 0"),
op, argnum, left)
);
emalloc(pz, mpz_ptr, sizeof (mpz_t), "get_intval");
mpz_init(pz);
return pz; /* should be freed */
}
if (do_lint) {
if (mpfr_sgn(left) < 0)
lintwarn("%s",
mpg_fmt(_("%s: argument #%d negative value %Rg will give strange results"),
op, argnum, left)
);
if (! mpfr_integer_p(left))
lintwarn("%s",
mpg_fmt(_("%s: argument #%d fractional value %Rg will be truncated"),
op, argnum, left)
);
}
emalloc(pz, mpz_ptr, sizeof (mpz_t), "get_intval");
mpz_init(pz);
mpfr_get_z(pz, left, MPFR_RNDZ); /* float to integer conversion */
return pz; /* should be freed */
}
/* (t1->flags & MPZN) != 0 */
pz = t1->mpg_i;
if (do_lint) {
if (mpz_sgn(pz) < 0)
lintwarn("%s",
mpg_fmt(_("%s: argument #%d negative value %Zd will give strange results"),
op, argnum, pz)
);
}
return pz; /* must not be freed */
}
/* free_intval --- free the converted integer value returned by get_intval() */
static inline void
free_intval(NODE *t, mpz_ptr pz)
{
if ((t->flags & MPZN) == 0) {
mpz_clear(pz);
efree(pz);
}
}
/* do_mpfr_lshift --- perform a << operation */
NODE *
do_mpfr_lshift(int nargs)
{
NODE *t1, *t2, *res;
unsigned long shift;
mpz_ptr pz1, pz2;
t2 = POP_SCALAR();
t1 = POP_SCALAR();
pz1 = get_intval(t1, 1, "lshift");
pz2 = get_intval(t2, 2, "lshift");
/*
* mpz_get_ui: If op is too big to fit an unsigned long then just
* the least significant bits that do fit are returned.
* The sign of op is ignored, only the absolute value is used.
*/
shift = mpz_get_ui(pz2); /* GMP integer => unsigned long conversion */
res = mpg_integer();
mpz_mul_2exp(res->mpg_i, pz1, shift); /* res = pz1 * 2^shift */
free_intval(t1, pz1);
free_intval(t2, pz2);
DEREF(t2);
DEREF(t1);
return res;
}
/* do_mpfr_rshift --- perform a >> operation */
NODE *
do_mpfr_rshift(int nargs)
{
NODE *t1, *t2, *res;
unsigned long shift;
mpz_ptr pz1, pz2;
t2 = POP_SCALAR();
t1 = POP_SCALAR();
pz1 = get_intval(t1, 1, "rshift");
pz2 = get_intval(t2, 2, "rshift");
/* N.B: See do_mpfp_lshift. */
shift = mpz_get_ui(pz2); /* GMP integer => unsigned long conversion */
res = mpg_integer();
mpz_fdiv_q_2exp(res->mpg_i, pz1, shift); /* res = pz1 / 2^shift, round towards −inf */
free_intval(t1, pz1);
free_intval(t2, pz2);
DEREF(t2);
DEREF(t1);
return res;
}
/* do_mpfr_and --- perform an & operation */
NODE *
do_mpfr_and(int nargs)
{
NODE *t1, *t2, *res;
mpz_ptr pz1, pz2;
int i;
if (nargs < 2)
fatal(_("and: called with less than two arguments"));
t2 = POP_SCALAR();
pz2 = get_intval(t2, nargs, "and");
res = mpg_integer();
for (i = 1; i < nargs; i++) {
t1 = POP_SCALAR();
pz1 = get_intval(t1, nargs - i, "and");
mpz_and(res->mpg_i, pz1, pz2);
free_intval(t1, pz1);
DEREF(t1);
if (i == 1) {
free_intval(t2, pz2);
DEREF(t2);
}
pz2 = res->mpg_i;
}
return res;
}
/* do_mpfr_or --- perform an | operation */
NODE *
do_mpfr_or(int nargs)
{
NODE *t1, *t2, *res;
mpz_ptr pz1, pz2;
int i;
if (nargs < 2)
fatal(_("or: called with less than two arguments"));