3 * $Id: mp-arith.c,v 1.17 2003/10/12 15:03:35 mdw Exp $
5 * Basic arithmetic on multiprecision integers
7 * (c) 1999 Straylight/Edgeware
10 /*----- Licensing notice --------------------------------------------------*
12 * This file is part of Catacomb.
14 * Catacomb is free software; you can redistribute it and/or modify
15 * it under the terms of the GNU Library General Public License as
16 * published by the Free Software Foundation; either version 2 of the
17 * License, or (at your option) any later version.
19 * Catacomb is distributed in the hope that it will be useful,
20 * but WITHOUT ANY WARRANTY; without even the implied warranty of
21 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
22 * GNU Library General Public License for more details.
24 * You should have received a copy of the GNU Library General Public
25 * License along with Catacomb; if not, write to the Free
26 * Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
30 /*----- Revision history --------------------------------------------------*
32 * $Log: mp-arith.c,v $
33 * Revision 1.17 2003/10/12 15:03:35 mdw
34 * Merge fix from other branch.
36 * Revision 1.16.2.1 2003/06/10 13:21:10 mdw
37 * Fix bug dividing small things by large ones.
39 * Revision 1.16 2003/05/16 09:09:24 mdw
40 * Fix @mp_lsl2c@. Turns out to be surprisingly tricky.
42 * Revision 1.15 2002/10/19 17:56:50 mdw
43 * Fix bit operations. Test them (a bit) better.
45 * Revision 1.14 2002/10/15 19:18:31 mdw
46 * New operation to negate numbers.
48 * Revision 1.13 2002/10/15 00:19:40 mdw
49 * Bit setting and clearing functions.
51 * Revision 1.12 2002/10/09 00:36:03 mdw
52 * Fix bounds on workspace for Karatsuba operations.
54 * Revision 1.11 2002/10/06 22:52:50 mdw
55 * Pile of changes for supporting two's complement properly.
57 * Revision 1.10 2001/04/03 19:36:05 mdw
58 * Add some simple bitwise operations so that Perl can use them.
60 * Revision 1.9 2000/10/08 15:48:35 mdw
61 * Rename Karatsuba constants now that we have @gfx_kmul@ too.
63 * Revision 1.8 2000/10/08 12:02:21 mdw
64 * Use @MP_EQ@ instead of @MP_CMP@.
66 * Revision 1.7 2000/06/22 19:02:53 mdw
67 * New function @mp_odd@ to extract powers of two from an integer. This is
68 * common code from the Rabin-Miller test, RSA key recovery and modular
69 * square-root extraction.
71 * Revision 1.6 2000/06/17 11:45:09 mdw
72 * Major memory management overhaul. Added arena support. Use the secure
73 * arena for secret integers. Replace and improve the MP management macros
74 * (e.g., replace MP_MODIFY by MP_DEST).
76 * Revision 1.5 1999/12/22 15:54:41 mdw
77 * Adjust Karatsuba parameters. Calculate destination size better.
79 * Revision 1.4 1999/12/13 15:35:16 mdw
80 * Slightly different rules on memory allocation.
82 * Revision 1.3 1999/12/11 10:57:43 mdw
83 * Karatsuba squaring algorithm.
85 * Revision 1.2 1999/12/10 23:18:39 mdw
86 * Change interface for suggested destinations.
88 * Revision 1.1 1999/11/17 18:02:16 mdw
89 * New multiprecision integer arithmetic suite.
93 /*----- Header files ------------------------------------------------------*/
97 /*----- Macros ------------------------------------------------------------*/
99 #define MAX(x, y) ((x) >= (y) ? (x) : (y))
101 /*----- Main code ---------------------------------------------------------*/
103 /* --- @mp_lsl@, @mp_lslc@, @mp_lsr@ --- *
105 * Arguments: @mp *d@ = destination
107 * @size_t n@ = number of bits to move
109 * Returns: Result, @a@ shifted left or right by @n@.
111 * Use: Bitwise shift operators. @mp_lslc@ fills the bits introduced
112 * on the right with ones instead of zeroes: it's used
113 * internally by @mp_lsl2c@, though it may be useful on its
117 mp
*mp_lsl(mp
*d
, mp
*a
, size_t n
)
119 MP_DEST(d
, MP_LEN(a
) + (n
+ MPW_BITS
- 1) / MPW_BITS
, a
->f
);
120 mpx_lsl(d
->v
, d
->vl
, a
->v
, a
->vl
, n
);
121 d
->f
= a
->f
& (MP_NEG
| MP_BURN
);
126 mp
*mp_lslc(mp
*d
, mp
*a
, size_t n
)
128 MP_DEST(d
, MP_LEN(a
) + (n
+ MPW_BITS
- 1) / MPW_BITS
, a
->f
);
129 mpx_lslc(d
->v
, d
->vl
, a
->v
, a
->vl
, n
);
130 d
->f
= a
->f
& (MP_NEG
| MP_BURN
);
135 mp
*mp_lsr(mp
*d
, mp
*a
, size_t n
)
137 MP_DEST(d
, MP_LEN(a
), a
->f
);
138 mpx_lsr(d
->v
, d
->vl
, a
->v
, a
->vl
, n
);
139 d
->f
= a
->f
& (MP_NEG
| MP_BURN
);
144 /* --- @mp_lsl2c@, @mp_lsr2c@ --- *
146 * Arguments: @mp *d@ = destination
148 * @size_t n@ = number of bits to move
150 * Returns: Result, @a@ shifted left or right by @n@. Handles the
151 * pretence of sign-extension for negative numbers.
154 mp
*mp_lsl2c(mp
*d
, mp
*a
, size_t n
)
156 if (!(a
->f
& MP_NEG
))
157 return (mp_lsl(d
, a
, n
));
159 d
= mp_lslc(d
, d
, n
);
164 mp
*mp_lsr2c(mp
*d
, mp
*a
, size_t n
)
166 if (!(a
->f
& MP_NEG
))
167 return (mp_lsr(d
, a
, n
));
174 /* --- @mp_testbit@ --- *
176 * Arguments: @mp *x@ = a large integer
177 * @unsigned long n@ = which bit to test
179 * Returns: Nonzero if the bit is set, zero if not.
182 int mp_testbit(mp
*x
, unsigned long n
)
184 if (n
> MPW_BITS
* MP_LEN(x
))
186 return ((x
->v
[n
/MPW_BITS
] >> n
%MPW_BITS
) & 1u);
189 /* --- @mp_testbit2c@ --- *
191 * Arguments: @mp *x@ = a large integer
192 * @unsigned long n@ = which bit to test
194 * Returns: Nonzero if the bit is set, zero if not. Fakes up two's
195 * complement representation.
198 int mp_testbit2c(mp
*x
, unsigned long n
)
201 if (!(x
->f
& MP_NEG
))
202 return (mp_testbit(x
, n
));
203 x
= mp_not2c(MP_NEW
, x
);
204 r
= !mp_testbit(x
, n
);
209 /* --- @mp_setbit@, @mp_clearbit@ --- *
211 * Arguments: @mp *d@ = a destination
212 * @mp *x@ = a large integer
213 * @unsigned long n@ = which bit to modify
215 * Returns: The argument @x@, with the appropriate bit set or cleared.
218 mp
*mp_setbit(mp
*d
, mp
*x
, unsigned long n
)
222 rq
= n
+ MPW_BITS
; rq
-= rq
% MPW_BITS
;
227 MP_DEST(d
, rq
, x
->f
& (MP_NEG
| MP_BURN
));
228 d
->v
[n
/MPW_BITS
] |= 1 << n
%MPW_BITS
;
232 mp
*mp_clearbit(mp
*d
, mp
*x
, unsigned long n
)
236 rq
= n
+ MPW_BITS
; rq
-= rq
% MPW_BITS
;
241 MP_DEST(d
, rq
, x
->f
& (MP_NEG
| MP_BURN
));
242 d
->v
[n
/MPW_BITS
] &= ~(1 << n
%MPW_BITS
);
246 /* --- @mp_setbit2c@, @mp_clearbit2c@ --- *
248 * Arguments: @mp *d@ = a destination
249 * @mp *x@ = a large integer
250 * @unsigned long n@ = which bit to modify
252 * Returns: The argument @x@, with the appropriate bit set or cleared.
253 * Fakes up two's complement representation.
256 mp
*mp_setbit2c(mp
*d
, mp
*x
, unsigned long n
)
258 if (!(x
->f
& MP_NEG
))
259 return mp_setbit(d
, x
, n
);
261 d
= mp_clearbit(d
, d
, n
);
266 mp
*mp_clearbit2c(mp
*d
, mp
*x
, unsigned long n
)
268 if (!(x
->f
& MP_NEG
))
269 return mp_clearbit(d
, x
, n
);
271 d
= mp_setbit(d
, d
, n
);
278 * Arguments: @const mp *a, *b@ = two numbers
280 * Returns: Nonzero if the numbers are equal.
283 int mp_eq(const mp
*a
, const mp
*b
) { return (MP_EQ(a
, b
)); }
285 /* --- @mp_cmp@ --- *
287 * Arguments: @const mp *a, *b@ = two numbers
289 * Returns: Less than, equal to or greater than zero, according to
290 * whether @a@ is less than, equal to or greater than @b@.
293 int mp_cmp(const mp
*a
, const mp
*b
)
295 if (!((a
->f
^ b
->f
) & MP_NEG
))
296 return (mpx_ucmp(a
->v
, a
->vl
, b
->v
, b
->vl
));
297 else if (a
->f
& MP_NEG
)
303 /* --- @mp_neg@ --- *
305 * Arguments: @mp *d@ = destination
308 * Returns: The negation of the argument.
310 * Use: Negates its argument.
313 mp
*mp_neg(mp
*d
, mp
*a
)
315 /* --- Surprising amounts of messing about required --- */
323 MP_DEST(a
, MP_LEN(a
), a
->f
);
328 /* --- @mp_bitop@ --- *
330 * Arguments: @mp *d@ = destination
331 * @mp *a, *b@ = sources
333 * Returns: The result of the given bitwise operation. These functions
334 * don't handle negative numbers at all sensibly. For that, use
335 * the @...2c@ variants. The functions are named after the
336 * truth tables they generate:
343 #define MP_BITBINOP(string) \
345 mp *mp_bit##string(mp *d, mp *a, mp *b) \
347 MP_DEST(d, MAX(MP_LEN(a), MP_LEN(b)), (a->f | b->f) & ~MP_NEG); \
348 mpx_bit##string(d->v, d->vl, a->v, a->vl, b->v, b->vl); \
349 d->f = (a->f | b->f) & MP_BURN; \
354 MPX_DOBIN(MP_BITBINOP
)
356 /* --- @mp_not@ --- *
358 * Arguments: @mp *d@ = destination
361 * Returns: The bitwise complement of the source.
364 mp
*mp_not(mp
*d
, mp
*a
)
366 MP_DEST(d
, MP_LEN(a
), a
->f
);
367 mpx_not(d
->v
, d
->vl
, a
->v
, a
->vl
);
368 d
->f
= a
->f
& MP_BURN
;
373 /* --- @mp_bitop2c@ --- *
375 * Arguments: @mp *d@ = destination
376 * @mp *a, *b@ = sources
378 * Returns: The result of the given bitwise operation. Negative numbers
379 * are treated as two's complement, sign-extended infinitely to
380 * the left. The functions are named after the truth tables
388 /* --- How this actually works --- *
390 * The two arguments are inverted (with a sign-swap) if they're currently
391 * negative. This means that we end up using a different function (one which
392 * reinverts as we go) for the main operation. Also, if the sign would be
393 * negative at the end, we preinvert the output and then invert again with a
396 * Start with: wxyz WXYZ
397 * If @a@ negative: yzwx or YZWX
398 * If @b@ negative: xwzy XWZY
399 * If both negative: zyxw ZYXW
402 #define MP_BIT2CBINOP(n, base, an, bn, abn, p_base, p_an, p_bn, p_abn) \
404 mp *mp_bit##n##2c(mp *d, mp *a, mp *b) \
406 if (!((a->f | b->f) & MP_NEG)) { /* Both positive */ \
407 d = mp_bit##base(d, a, b); \
409 } else if (!(b->f & MP_NEG)) { /* Only @b@ positive */ \
411 d = mp_not2c(d, a); \
412 d = mp_bit##an(d, d, b); \
415 } else if (!(a->f & MP_NEG)) { /* Only @a@ positive */ \
417 d = mp_not2c(d, b); \
418 d = mp_bit##bn(d, a, d); \
421 } else { /* Both negative */ \
422 mp *t = mp_not2c(MP_NEW, a); \
423 mp *d = mp_not2c(d, b); \
424 d = mp_bit##abn(d, t, d); \
431 #define NEG d = mp_not2c(d, d);
433 MP_BIT2CBINOP(0000, 0000, 0000, 0000, 0000, POS
, POS
, POS
, POS
)
434 MP_BIT2CBINOP(0001, 0001, 0100, 0010, 0111, POS
, POS
, POS
, NEG
)
435 MP_BIT2CBINOP(0010, 0010, 0111, 0001, 0100, POS
, NEG
, POS
, POS
)
436 MP_BIT2CBINOP(0011, 0011, 0011, 0011, 0011, POS
, NEG
, POS
, NEG
)
437 MP_BIT2CBINOP(0100, 0100, 0001, 0111, 0010, POS
, POS
, NEG
, POS
)
438 MP_BIT2CBINOP(0101, 0101, 0101, 0101, 0101, POS
, POS
, NEG
, NEG
)
439 MP_BIT2CBINOP(0110, 0110, 0110, 0110, 0110, POS
, NEG
, NEG
, POS
)
440 MP_BIT2CBINOP(0111, 0111, 0010, 0100, 0001, POS
, NEG
, NEG
, NEG
)
441 MP_BIT2CBINOP(1000, 0111, 0010, 0100, 0001, NEG
, POS
, POS
, POS
)
442 MP_BIT2CBINOP(1001, 0110, 0110, 0110, 0110, NEG
, POS
, POS
, NEG
)
443 MP_BIT2CBINOP(1010, 0101, 0101, 0101, 0101, NEG
, NEG
, POS
, POS
)
444 MP_BIT2CBINOP(1011, 0100, 0001, 0111, 0010, NEG
, NEG
, POS
, NEG
)
445 MP_BIT2CBINOP(1100, 0011, 0011, 0011, 0011, NEG
, POS
, NEG
, POS
)
446 MP_BIT2CBINOP(1101, 0010, 0111, 0001, 0100, NEG
, POS
, NEG
, NEG
)
447 MP_BIT2CBINOP(1110, 0001, 0100, 0010, 0111, NEG
, NEG
, NEG
, POS
)
448 MP_BIT2CBINOP(1111, 0000, 0000, 0000, 0000, NEG
, NEG
, NEG
, NEG
)
452 /* --- @mp_not2c@ --- *
454 * Arguments: @mp *d@ = destination
457 * Returns: The sign-extended complement of the argument.
460 mp
*mp_not2c(mp
*d
, mp
*a
)
464 MP_DEST(d
, MP_LEN(a
) + 1, a
->f
);
467 MPX_USUBN(d
->v
, d
->vl
, 1);
469 MPX_UADDN(d
->v
, d
->vl
, 1);
472 mpx_usub(d
->v
, d
->vl
, a
->v
, a
->vl
, &one
, &one
+ 1);
474 mpx_uadd(d
->v
, d
->vl
, a
->v
, a
->vl
, &one
, &one
+ 1);
476 d
->f
= (a
->f
& (MP_NEG
| MP_BURN
)) ^ MP_NEG
;
481 /* --- @mp_add@ --- *
483 * Arguments: @mp *d@ = destination
484 * @mp *a, *b@ = sources
486 * Returns: Result, @a@ added to @b@.
489 mp
*mp_add(mp
*d
, mp
*a
, mp
*b
)
491 MP_DEST(d
, MAX(MP_LEN(a
), MP_LEN(b
)) + 1, a
->f
| b
->f
);
492 if (!((a
->f
^ b
->f
) & MP_NEG
))
493 mpx_uadd(d
->v
, d
->vl
, a
->v
, a
->vl
, b
->v
, b
->vl
);
495 if (MPX_UCMP(a
->v
, a
->vl
, <, b
->v
, b
->vl
)) {
496 mp
*t
= a
; a
= b
; b
= t
;
498 mpx_usub(d
->v
, d
->vl
, a
->v
, a
->vl
, b
->v
, b
->vl
);
500 d
->f
= ((a
->f
| b
->f
) & MP_BURN
) | (a
->f
& MP_NEG
);
505 /* --- @mp_sub@ --- *
507 * Arguments: @mp *d@ = destination
508 * @mp *a, *b@ = sources
510 * Returns: Result, @b@ subtracted from @a@.
513 mp
*mp_sub(mp
*d
, mp
*a
, mp
*b
)
516 MP_DEST(d
, MAX(MP_LEN(a
), MP_LEN(b
)) + 1, a
->f
| b
->f
);
517 if ((a
->f
^ b
->f
) & MP_NEG
)
518 mpx_uadd(d
->v
, d
->vl
, a
->v
, a
->vl
, b
->v
, b
->vl
);
520 if (MPX_UCMP(a
->v
, a
->vl
, <, b
->v
, b
->vl
)) {
521 mp
*t
= a
; a
= b
; b
= t
;
524 mpx_usub(d
->v
, d
->vl
, a
->v
, a
->vl
, b
->v
, b
->vl
);
526 d
->f
= ((a
->f
| b
->f
) & MP_BURN
) | ((a
->f
^ sgn
) & MP_NEG
);
531 /* --- @mp_mul@ --- *
533 * Arguments: @mp *d@ = destination
534 * @mp *a, *b@ = sources
536 * Returns: Result, @a@ multiplied by @b@.
539 mp
*mp_mul(mp
*d
, mp
*a
, mp
*b
)
544 if (MP_LEN(a
) <= MPK_THRESH
|| MP_LEN(b
) <= MPK_THRESH
) {
545 MP_DEST(d
, MP_LEN(a
) + MP_LEN(b
), a
->f
| b
->f
| MP_UNDEF
);
546 mpx_umul(d
->v
, d
->vl
, a
->v
, a
->vl
, b
->v
, b
->vl
);
548 size_t m
= MAX(MP_LEN(a
), MP_LEN(b
));
550 MP_DEST(d
, 3 * m
, a
->f
| b
->f
| MP_UNDEF
);
551 s
= mpalloc(d
->a
, 5 * m
);
552 mpx_kmul(d
->v
, d
->vl
, a
->v
, a
->vl
, b
->v
, b
->vl
, s
, s
+ 5 * m
);
556 d
->f
= ((a
->f
| b
->f
) & MP_BURN
) | ((a
->f
^ b
->f
) & MP_NEG
);
563 /* --- @mp_sqr@ --- *
565 * Arguments: @mp *d@ = destination
568 * Returns: Result, @a@ squared.
571 mp
*mp_sqr(mp
*d
, mp
*a
)
573 size_t m
= MP_LEN(a
);
576 if (m
> MPK_THRESH
) {
578 MP_DEST(d
, 3 * m
, a
->f
| MP_UNDEF
);
579 s
= mpalloc(d
->a
, 5 * m
);
580 mpx_ksqr(d
->v
, d
->vl
, a
->v
, a
->vl
, s
, s
+ 5 * m
);
583 MP_DEST(d
, 2 * m
+ 2, a
->f
| MP_UNDEF
);
584 mpx_usqr(d
->v
, d
->vl
, a
->v
, a
->vl
);
586 d
->f
= a
->f
& MP_BURN
;
592 /* --- @mp_div@ --- *
594 * Arguments: @mp **qq, **rr@ = destination, quotient and remainder
595 * @mp *a, *b@ = sources
597 * Use: Calculates the quotient and remainder when @a@ is divided by
598 * @b@. The destinations @*qq@ and @*rr@ must be distinct.
599 * Either of @qq@ or @rr@ may be null to indicate that the
600 * result is irrelevant. (Discarding both results is silly.)
601 * There is a performance advantage if @a == *rr@.
603 * The behaviour when @a@ and @b@ have the same sign is
604 * straightforward. When the signs differ, this implementation
605 * chooses @r@ to have the same sign as @b@, rather than the
606 * more normal choice that the remainder has the same sign as
607 * the dividend. This makes modular arithmetic a little more
611 void mp_div(mp
**qq
, mp
**rr
, mp
*a
, mp
*b
)
613 mp
*r
= rr ?
*rr
: MP_NEW
;
614 mp
*q
= qq ?
*qq
: MP_NEW
;
617 /* --- Set the remainder up right --- *
619 * Just in case the divisor is larger, be able to cope with this. It's not
620 * important in @mpx_udiv@, but it is here because of the sign correction.
628 MP_DEST(r
, MAX(MP_LEN(a
), MP_LEN(b
)) + 2, a
->f
| b
->f
);
630 /* --- Fix up the quotient too --- */
633 MP_DEST(q
, MP_LEN(r
), r
->f
| MP_UNDEF
);
636 /* --- Set up some temporary workspace --- */
639 size_t rq
= MP_LEN(b
) + 1;
640 sv
= mpalloc(r
->a
, rq
);
644 /* --- Perform the calculation --- */
646 mpx_udiv(q
->v
, q
->vl
, r
->v
, r
->vl
, b
->v
, b
->vl
, sv
, svl
);
648 /* --- Sort out the sign of the results --- *
650 * If the signs of the arguments differ, and the remainder is nonzero, I
651 * must add one to the absolute value of the quotient and subtract the
652 * remainder from @b@.
655 q
->f
= ((r
->f
| b
->f
) & MP_BURN
) | ((r
->f
^ b
->f
) & MP_NEG
);
658 for (v
= r
->v
; v
< r
->vl
; v
++) {
660 MPX_UADDN(q
->v
, q
->vl
, 1);
661 mpx_usub(r
->v
, r
->vl
, b
->v
, b
->vl
, r
->v
, r
->vl
);
667 r
->f
= ((r
->f
| b
->f
) & MP_BURN
) | (b
->f
& MP_NEG
);
669 /* --- Store the return values --- */
689 /* --- @mp_odd@ --- *
691 * Arguments: @mp *d@ = pointer to destination integer
692 * @mp *m@ = pointer to source integer
693 * @size_t *s@ = where to store the power of 2
695 * Returns: An odd integer integer %$t$% such that %$m = 2^s t$%.
697 * Use: Computes a power of two and an odd integer which, when
698 * multiplied, give a specified result. This sort of thing is
699 * useful in number theory quite often.
702 mp
*mp_odd(mp
*d
, mp
*m
, size_t *s
)
709 for (; !*v
&& v
< vl
; v
++)
716 unsigned z
= MPW_BITS
/ 2;
729 return (mp_lsr(d
, m
, ss
));
732 /*----- Test rig ----------------------------------------------------------*/
736 static int verify(const char *op
, mp
*expect
, mp
*result
, mp
*a
, mp
*b
)
738 if (!MP_EQ(expect
, result
)) {
739 fprintf(stderr
, "\n*** %s failed", op
);
740 fputs("\n*** a = ", stderr
); mp_writefile(a
, stderr
, 10);
741 fputs("\n*** b = ", stderr
); mp_writefile(b
, stderr
, 10);
742 fputs("\n*** result = ", stderr
); mp_writefile(result
, stderr
, 10);
743 fputs("\n*** expect = ", stderr
); mp_writefile(expect
, stderr
, 10);
750 #define RIG(name, op) \
751 static int t##name(dstr *v) \
753 mp *a = *(mp **)v[0].buf; \
754 mpw n = *(int *)v[1].buf; \
756 mp *r = *(mp **)v[2].buf; \
757 mp *c = op(MP_NEW, a, n); \
759 mp_build(&b, &n, &n + 1); \
760 ok = verify(#name, r, c, a, &b); \
761 mp_drop(a); mp_drop(c); mp_drop(r); \
762 assert(mparena_count(MPARENA_GLOBAL) == 0); \
773 #define RIG(name, op) \
774 static int t##name(dstr *v) \
776 mp *a = *(mp **)v[0].buf; \
777 mp *b = *(mp **)v[1].buf; \
778 mp *r = *(mp **)v[2].buf; \
779 mp *c = op(MP_NEW, a, b); \
780 int ok = verify(#name, r, c, a, b); \
781 mp_drop(a); mp_drop(b); mp_drop(c); mp_drop(r); \
782 assert(mparena_count(MPARENA_GLOBAL) == 0); \
792 static int tdiv(dstr
*v
)
794 mp
*a
= *(mp
**)v
[0].buf
;
795 mp
*b
= *(mp
**)v
[1].buf
;
796 mp
*q
= *(mp
**)v
[2].buf
;
797 mp
*r
= *(mp
**)v
[3].buf
;
798 mp
*c
= MP_NEW
, *d
= MP_NEW
;
800 mp_div(&c
, &d
, a
, b
);
801 ok
&= verify("div(quotient)", q
, c
, a
, b
);
802 ok
&= verify("div(remainder)", r
, d
, a
, b
);
803 mp_drop(a
); mp_drop(b
); mp_drop(c
); mp_drop(d
); mp_drop(r
); mp_drop(q
);
804 assert(mparena_count(MPARENA_GLOBAL
) == 0);
808 static int tbin(dstr
*v
)
810 static mp
*(*fn
[])(mp
*, mp
*, mp
*) = {
811 #define DO(string) mp_bit##string##2c,
817 mp
*a
= *(mp
**)v
[1].buf
;
818 mp
*b
= *(mp
**)v
[2].buf
;
819 mp
*r
= *(mp
**)v
[3].buf
;
822 if (strcmp(v
[0].buf
, "and") == 0) op
= 1;
823 else if (strcmp(v
[0].buf
, "or") == 0) op
= 7;
824 else if (strcmp(v
[0].buf
, "nand") == 0) op
= 14;
825 else if (strcmp(v
[0].buf
, "nor") == 0) op
= 8;
826 else if (strcmp(v
[0].buf
, "xor") == 0) op
= 6;
836 c
= fn
[op
](MP_NEW
, a
, b
);
837 ok
= verify(v
[0].buf
, r
, c
, a
, b
);
838 mp_drop(a
); mp_drop(b
); mp_drop(r
); mp_drop(c
);
839 assert(mparena_count(MPARENA_GLOBAL
) == 0);
843 static int tset(dstr
*v
)
845 mp
*a
= *(mp
**)v
[0].buf
;
846 unsigned long n
= *(unsigned long *)v
[1].buf
;
847 mp
*r
= *(mp
**)v
[2].buf
;
851 c
= mp_setbit2c(MP_NEW
, a
, n
);
854 fprintf(stderr
, "\n***setbit (set) failed");
855 fputs("\n*** a = ", stderr
); mp_writefile(a
, stderr
, 16);
856 fprintf(stderr
, "\n*** n = %lu", n
);
857 fputs("\n*** r = ", stderr
); mp_writefile(r
, stderr
, 16);
858 fputs("\n*** c = ", stderr
); mp_writefile(c
, stderr
, 16);
861 if (!mp_testbit2c(r
, n
)) {
863 fprintf(stderr
, "\n***setbit (test) failed");
864 fprintf(stderr
, "\n*** n = %lu", n
);
865 fputs("\n*** r = ", stderr
); mp_writefile(r
, stderr
, 16);
871 assert(mparena_count(MPARENA_GLOBAL
) == 0);
875 static int tclr(dstr
*v
)
877 mp
*a
= *(mp
**)v
[0].buf
;
878 unsigned long n
= *(unsigned long *)v
[1].buf
;
879 mp
*r
= *(mp
**)v
[2].buf
;
883 c
= mp_clearbit2c(MP_NEW
, a
, n
);
886 fprintf(stderr
, "\n***clrbit (set) failed");
887 fputs("\n*** a = ", stderr
); mp_writefile(a
, stderr
, 16);
888 fprintf(stderr
, "\n*** n = %lu", n
);
889 fputs("\n*** r = ", stderr
); mp_writefile(r
, stderr
, 16);
890 fputs("\n*** c = ", stderr
); mp_writefile(c
, stderr
, 16);
893 if (mp_testbit2c(r
, n
)) {
895 fprintf(stderr
, "\n***clrbit (test) failed");
896 fprintf(stderr
, "\n*** n = %lu", n
);
897 fputs("\n*** r = ", stderr
); mp_writefile(r
, stderr
, 16);
903 assert(mparena_count(MPARENA_GLOBAL
) == 0);
907 static int tneg(dstr
*v
)
909 mp
*a
= *(mp
**)v
[0].buf
;
910 mp
*r
= *(mp
**)v
[1].buf
;
912 mp
*n
= mp_neg(MP_NEW
, a
);
915 fprintf(stderr
, "\n*** neg failed\n");
916 fputs("\n*** a = ", stderr
); mp_writefile(a
, stderr
, 10);
917 fputs("\n*** r = ", stderr
); mp_writefile(r
, stderr
, 10);
918 fputs("\n*** n = ", stderr
); mp_writefile(n
, stderr
, 10);
925 fprintf(stderr
, "\n*** neg failed\n");
926 fputs("\n*** a* = ", stderr
); mp_writefile(a
, stderr
, 10);
927 fputs("\n*** r = ", stderr
); mp_writefile(r
, stderr
, 10);
928 fputs("\n*** n = ", stderr
); mp_writefile(n
, stderr
, 10);
933 assert(mparena_count(MPARENA_GLOBAL
) == 0);
937 static int todd(dstr
*v
)
939 mp
*a
= *(mp
**)v
[0].buf
;
940 size_t rs
= *(uint32
*)v
[1].buf
;
941 mp
*rt
= *(mp
**)v
[2].buf
;
945 t
= mp_odd(MP_NEW
, a
, &s
);
946 if (s
!= rs
|| !MP_EQ(t
, rt
)) {
948 fprintf(stderr
, "\n*** odd failed");
949 fputs("\n*** a = ", stderr
); mp_writefile(a
, stderr
, 10);
950 fprintf(stderr
, "\n*** s = %lu", (unsigned long)s
);
951 fputs("\n*** t = ", stderr
); mp_writefile(t
, stderr
, 10);
952 fprintf(stderr
, "\n*** rs = %lu", (unsigned long)rs
);
953 fputs("\n*** rt = ", stderr
); mp_writefile(rt
, stderr
, 10);
959 assert(mparena_count(MPARENA_GLOBAL
) == 0);
963 static test_chunk tests
[] = {
964 { "lsl", tlsl
, { &type_mp
, &type_int
, &type_mp
, 0 } },
965 { "lsr", tlsr
, { &type_mp
, &type_int
, &type_mp
, 0 } },
966 { "lsl2c", tlsl2c
, { &type_mp
, &type_int
, &type_mp
, 0 } },
967 { "lsr2c", tlsr2c
, { &type_mp
, &type_int
, &type_mp
, 0 } },
968 { "setbit", tset
, { &type_mp
, &type_ulong
, &type_mp
, 0 } },
969 { "clrbit", tclr
, { &type_mp
, &type_ulong
, &type_mp
, 0 } },
970 { "add", tadd
, { &type_mp
, &type_mp
, &type_mp
, 0 } },
971 { "sub", tsub
, { &type_mp
, &type_mp
, &type_mp
, 0 } },
972 { "mul", tmul
, { &type_mp
, &type_mp
, &type_mp
, 0 } },
973 { "div", tdiv
, { &type_mp
, &type_mp
, &type_mp
, &type_mp
, 0 } },
974 { "bin2c", tbin
, { &type_string
, &type_mp
, &type_mp
, &type_mp
, 0 } },
975 { "odd", todd
, { &type_mp
, &type_uint32
, &type_mp
, 0 } },
976 { "neg", tneg
, { &type_mp
, &type_mp
, 0 } },
980 int main(int argc
, char *argv
[])
983 test_run(argc
, argv
, tests
, SRCDIR
"/tests/mp");
989 /*----- That's all, folks -------------------------------------------------*/