Code coverage tests

This page documents the degree to which the PARI/GP source code is tested by our public test suite, distributed with the source distribution in directory src/test/. This is measured by the gcov utility; we then process gcov output using the lcov frond-end.

We test a few variants depending on Configure flags on the pari.math.u-bordeaux.fr machine (x86_64 architecture), and agregate them in the final report:

The target is to exceed 90% coverage for all mathematical modules (given that branches depending on DEBUGLEVEL or DEBUGMEM are not covered). This script is run to produce the results below.

LCOV - code coverage report
Current view: top level - kernel/none - level1.h (source / functions) Hit Total Coverage
Test: PARI/GP v2.16.2 lcov report (development 29115-f22e516b23) Lines: 604 765 79.0 %
Date: 2024-04-22 08:08:03 Functions: 218 285 76.5 %
Legend: Lines: hit not hit

          Line data    Source code
       1             : #line 2 "../src/kernel/none/level1.h"
       2             : /* Copyright (C) 2000  The PARI group.
       3             : 
       4             : This file is part of the PARI/GP package.
       5             : 
       6             : PARI/GP is free software; you can redistribute it and/or modify it under the
       7             : terms of the GNU General Public License as published by the Free Software
       8             : Foundation; either version 2 of the License, or (at your option) any later
       9             : version. It is distributed in the hope that it will be useful, but WITHOUT
      10             : ANY WARRANTY WHATSOEVER.
      11             : 
      12             : Check the License for details. You should have received a copy of it, along
      13             : with the package; see the file 'COPYING'. If not, write to the Free Software
      14             : Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA. */
      15             : 
      16             : /* This file defines "level 1" kernel functions.
      17             :  * These functions can be inline; they are also defined externally in
      18             :  * mpinl.c, which includes this file and never needs to be changed */
      19             : 
      20             : INLINE long
      21  2337527527 : nbits2lg(long x) {
      22  2337527527 :   return (long)(((ulong)x+3*BITS_IN_LONG-1) >> TWOPOTBITS_IN_LONG);
      23             : }
      24             : INLINE long
      25   793198584 : lg2prec(long x){ return (x-2) * BITS_IN_LONG; }
      26             : 
      27             : INLINE long
      28 87091958310 : evallg(long x)
      29             : {
      30 87091958310 :   if (x & ~LGBITS) pari_err_OVERFLOW("lg()");
      31 87095694689 :   return _evallg(x);
      32             : }
      33             : INLINE long
      34    36277382 : evalvalp(long x)
      35             : {
      36    36277382 :   long v = _evalvalp(x);
      37    36277382 :   if (v & ~VALPBITS) pari_err_OVERFLOW("valp()");
      38    36277113 :   return v;
      39             : }
      40             : INLINE long
      41    21353062 : evalvalser(long x)
      42             : {
      43    21353062 :   long v = _evalvalser(x);
      44    21353062 :   if (v & ~VALSERBITS) pari_err_OVERFLOW("valser()");
      45    21353062 :   return v;
      46             : }
      47             : INLINE long
      48 12776949899 : evalexpo(long x)
      49             : {
      50 12776949899 :   long v = _evalexpo(x);
      51 12776949899 :   if (v & ~EXPOBITS) pari_err_OVERFLOW("expo()");
      52 12780235720 :   return v;
      53             : }
      54             : INLINE long
      55    19356592 : evalprecp(long x)
      56             : {
      57    19356592 :   long v = _evalprecp(x);
      58    19356592 :   if (x & ~((1UL<<(BITS_IN_LONG-VALPnumBITS))-1)) pari_err_OVERFLOW("precp()");
      59    19356551 :   return v;
      60             : }
      61             : 
      62             : INLINE int
      63   162309705 : varncmp(long x, long y)
      64             : {
      65   162309705 :   if (varpriority[x] < varpriority[y]) return  1;
      66   126096295 :   if (varpriority[x] > varpriority[y]) return -1;
      67    68403061 :   return 0;
      68             : }
      69             : INLINE long
      70           0 : varnmin(long x, long y)
      71           0 : { return (varpriority[x] <= varpriority[y])? x: y; }
      72             : INLINE long
      73         203 : varnmax(long x, long y)
      74         203 : { return (varpriority[x] >= varpriority[y])? x: y; }
      75             : 
      76             : /* Inhibit some area gerepile-wise: declare it to be a non recursive
      77             :  * type, of length l. Thus gerepile won't inspect the zone, just copy it.
      78             :  * For the following situation:
      79             :  *   z = cgetg(t,a); av = avma; garbage(); ltop = avma;
      80             :  *   for (i=1; i<HUGE; i++) gel(z,i) = blah();
      81             :  *   stackdummy(av,ltop);
      82             :  * loses (av-ltop) words but save a costly gerepile. */
      83             : INLINE void
      84  3309845178 : stackdummy(pari_sp av, pari_sp ltop) {
      85  3309845178 :   long l = ((GEN)av) - ((GEN)ltop);
      86  3309845178 :   if (l > 0) {
      87  1110889854 :     GEN z = (GEN)ltop;
      88  1110889854 :     z[0] = evaltyp(t_VECSMALL) | evallg(l);
      89             : #ifdef DEBUG
      90             :     { long i; for (i = 1; i < l; i++) z[i] = 0; }
      91             : #endif
      92             :   }
      93  3309712200 : }
      94             : INLINE void
      95   104102934 : fixlg(GEN x, long ly) {
      96   104102934 :   long lx = lg(x), l = lx - ly;
      97   104102934 :   if (l > 0)
      98             :   { /* stackdummy(x+lx, x+ly) */
      99    47604115 :     GEN z = x + ly;
     100    47604115 :     z[0] = evaltyp(t_VECSMALL) | evallg(l);
     101    47604097 :     setlg(x, ly);
     102             : #ifdef DEBUG
     103             :     { long i; for (i = 1; i < l; i++) z[i] = 0; }
     104             : #endif
     105             :   }
     106   104102866 : }
     107             : /* update lg(z) before affrr(y, z)  [ to cater for precision loss ]*/
     108             : INLINE void
     109    56512074 : affrr_fixlg(GEN y, GEN z) { fixlg(z, lg(y)); affrr(y, z); }
     110             : 
     111             : /*******************************************************************/
     112             : /*                                                                 */
     113             : /*                       ALLOCATE ON STACK                         */
     114             : /*                                                                 */
     115             : /*******************************************************************/
     116             : INLINE ulong
     117           0 : get_avma(void) { return avma; }
     118             : INLINE void
     119 >11639*10^7 : set_avma(ulong av) { avma = av; }
     120             : 
     121             : INLINE double
     122   176788985 : gc_double(pari_sp av, double d) { set_avma(av); return d; }
     123             : INLINE long
     124   223793547 : gc_long(pari_sp av, long s) { set_avma(av); return s; }
     125             : INLINE ulong
     126    29135426 : gc_ulong(pari_sp av, ulong s) { set_avma(av); return s; }
     127             : INLINE int
     128    48094956 : gc_bool(pari_sp av, int s) { set_avma(av); return s; }
     129             : INLINE int
     130     2557313 : gc_int(pari_sp av, int s) { set_avma(av); return s; }
     131             : INLINE GEN
     132     6941506 : gc_NULL(pari_sp av) { set_avma(av); return NULL; }
     133             : INLINE GEN
     134 13949920969 : gc_const(pari_sp av, GEN x) { set_avma(av); return x; }
     135             : INLINE GEN
     136      150823 : gc_stoi(pari_sp av, long x) { set_avma(av); return stoi(x); }
     137             : INLINE GEN
     138      469047 : gc_utoi(pari_sp av, ulong x) { set_avma(av); return utoi(x); }
     139             : INLINE GEN
     140     1115772 : gc_utoipos(pari_sp av, ulong x) { set_avma(av); return utoipos(x); }
     141             : 
     142             : INLINE GEN
     143 84040873429 : new_chunk(size_t x) /* x is a number of longs */
     144             : {
     145 84040873429 :   GEN z = ((GEN) avma) - x;
     146             :   CHECK_CTRLC
     147 84040873429 :   if (x > (avma-pari_mainstack->bot) / sizeof(long))
     148          14 :     new_chunk_resize(x);
     149 84040873415 :   set_avma((pari_sp)z);
     150             : #ifdef MEMSTEP
     151             :   if (DEBUGMEM>1 && pari_mainstack->memused != DISABLE_MEMUSED) {
     152             :     long d = (long)pari_mainstack->memused - (long)z;
     153             :     if (labs(d) > 4*MEMSTEP)
     154             :     {
     155             :       pari_mainstack->memused = (pari_sp)z;
     156             :       err_printf("...%4.0lf Mbytes used\n",
     157             :                 (pari_mainstack->top-pari_mainstack->memused)/1048576.);
     158             :     }
     159             :   }
     160             : #endif
     161 84013385919 :   return z;
     162             : }
     163             : 
     164             : INLINE char *
     165    12562518 : stack_malloc(size_t N)
     166             : {
     167    12562518 :   long n = nchar2nlong(N);
     168    12562513 :   return (char*)new_chunk(n);
     169             : }
     170             : 
     171             : INLINE char *
     172    54689377 : stack_malloc_align(size_t N, long k)
     173             : {
     174    54689377 :   ulong d = ((ulong)avma) % k, e = ((ulong)N) % k;
     175    54689377 :   if (d) (void)new_chunk(d/sizeof(long));
     176    54689377 :   if (e) N += k-e;
     177    54689377 :   return (char*) new_chunk(nchar2nlong(N));
     178             : }
     179             : 
     180             : INLINE char *
     181       91845 : stack_calloc(size_t N)
     182             : {
     183       91845 :   char *p = stack_malloc(N);
     184       91845 :   memset(p, 0, N); return p;
     185             : }
     186             : 
     187             : INLINE char *
     188         956 : stack_calloc_align(size_t N, long k)
     189             : {
     190         956 :   ulong d = ((ulong)avma) % k, e = ((ulong)N) % k;
     191         956 :   if (d) (void)new_chunk(d/sizeof(long));
     192         956 :   if (e) N += k-e;
     193         956 :   return stack_calloc(N);
     194             : }
     195             : 
     196             : /* cgetg(lg(x), typ(x)), set *lx. Implicit unsetisclone() */
     197             : INLINE GEN
     198  1221528980 : cgetg_copy(GEN x, long *plx) {
     199             :   GEN y;
     200  1221528980 :   *plx = lg(x); y = new_chunk((size_t)*plx);
     201  1221519125 :   y[0] = x[0] & (TYPBITS|LGBITS); return y;
     202             : }
     203             : INLINE GEN
     204      363904 : cgetg_block(long x, long y)
     205             : {
     206      363904 :   GEN z = newblock((size_t)x);
     207      363841 :   z[0] = CLONEBIT | evaltyp(y) | evallg(x);
     208      363808 :   return z;
     209             : }
     210             : INLINE GEN
     211 23264578757 : cgetg(long x, long y)
     212             : {
     213 23264578757 :   GEN z = new_chunk((size_t)x);
     214 23234947365 :   z[0] = evaltyp(y) | evallg(x);
     215 23222893463 :   return z;
     216             : }
     217             : INLINE GEN
     218 24444734238 : cgeti(long x)
     219             : {
     220 24444734238 :   GEN z = new_chunk((size_t)x);
     221 24413141627 :   z[0] = evaltyp(t_INT) | evallg(x);
     222 24395273082 :   return z;
     223             : }
     224             : INLINE GEN
     225 14568509358 : cgetipos(long x)
     226             : {
     227 14568509358 :   GEN z = cgeti(x);
     228 14540426209 :   z[1] = evalsigne(1) | evallgefint(x);
     229 14540426209 :   return z;
     230             : }
     231             : INLINE GEN
     232   247950398 : cgetineg(long x)
     233             : {
     234   247950398 :   GEN z = cgeti(x);
     235   247947835 :   z[1] = evalsigne(-1) | evallgefint(x);
     236   247947835 :   return z;
     237             : }
     238             : INLINE GEN
     239       32395 : cgetr_block(long x)
     240             : {
     241       32395 :   long l = nbits2lg(x);
     242       32396 :   GEN z = newblock((size_t)l);
     243       32403 :   z[0] = CLONEBIT | evaltyp(t_REAL) | evallg(l);
     244       32402 :   return z;
     245             : }
     246             : INLINE GEN
     247  1801418314 : cgetr(long x)
     248             : {
     249  1801418314 :   long l = nbits2lg(x);
     250  1801101786 :   GEN z = new_chunk((size_t)l);
     251  1800588084 :   z[0] = evaltyp(t_REAL) | evallg(l);
     252  1800368362 :   return z;
     253             : }
     254             : 
     255             : /*******************************************************************/
     256             : /*                                                                 */
     257             : /*                     COPY, NEGATION, ABSOLUTE VALUE              */
     258             : /*                                                                 */
     259             : /*******************************************************************/
     260             : /* cannot do memcpy because sometimes x and y overlap */
     261             : INLINE GEN
     262  3504867777 : leafcopy(GEN x)
     263             : {
     264  3504867777 :   long lx = lg(x);
     265  3504867777 :   GEN y = new_chunk(lx); /* can't use cgetg_copy, in case x,y overlap */
     266 18475126989 :   while (--lx > 0) y[lx] = x[lx];
     267  3504547051 :   y[0] = x[0] & (TYPBITS|LGBITS); return y;
     268             : }
     269             : INLINE GEN
     270  7651667853 : icopy(GEN x)
     271             : {
     272  7651667853 :   long i = lgefint(x), lx = i;
     273  7651667853 :   GEN y = new_chunk(lx); /* can't use cgeti, in case x,y overlap */
     274 34289656586 :   while (--i > 0) y[i] = x[i];
     275  7649555757 :   y[0] = evaltyp(t_INT) | evallg(lx);
     276  7663088924 :   return y;
     277             : }
     278             : INLINE GEN
     279   114606348 : icopyspec(GEN x, long nx)
     280             : {
     281   114606348 :   long i = nx+2, lx = i;
     282   114606348 :   GEN y = new_chunk(lx); /* can't use cgeti, in case x,y overlap */
     283  3066089653 :   x -= 2; while (--i >= 2) y[i] = x[i];
     284   114606002 :   y[1] = evalsigne(1) | evallgefint(lx);
     285   114606002 :   y[0] = evaltyp(t_INT) | evallg(lx);
     286   114605927 :   return y;
     287             : }
     288   905441033 : INLINE GEN rcopy(GEN x) { return leafcopy(x); }
     289         707 : INLINE GEN mpcopy(GEN x) { return leafcopy(x); }
     290             : 
     291             : INLINE GEN
     292   761010586 : mpabs(GEN x) { GEN y = leafcopy(x); setabssign(y); return y; }
     293             : INLINE GEN
     294    13431420 : mpabs_shallow(GEN x) { return signe(x) < 0? mpabs(x): x; }
     295   691508104 : INLINE GEN absi(GEN x) { return mpabs(x); }
     296    50482806 : INLINE GEN absi_shallow(GEN x) { return signe(x) < 0? negi(x): x; }
     297         140 : INLINE GEN absr(GEN x) { return mpabs(x); }
     298             : 
     299             : INLINE GEN
     300   864087013 : mpneg(GEN x) { GEN y = leafcopy(x); togglesign(y); return y; }
     301   593829312 : INLINE GEN negi(GEN x) { return mpneg(x); }
     302     3526531 : INLINE GEN negr(GEN x) { return mpneg(x); }
     303             : 
     304             : /* negate in place */
     305             : INLINE void
     306  1826783771 : togglesign(GEN x) { if (x[1] & SIGNBITS) { x[1] ^= HIGHBIT; } }
     307             : INLINE void
     308   832840400 : setabssign(GEN x) { x[1] &= ~HIGHBIT; }
     309             : /* negate in place, except universal constants */
     310             : INLINE void
     311   122228846 : togglesign_safe(GEN *px)
     312             : {
     313   122228846 :   switch(*px - gen_1) /* gen_1, gen_2, gen_m1, gen_m2 */
     314             :   {
     315     2491763 :     case 0: *px = gen_m1; break;
     316           4 :     case 3: *px = gen_m2;  break;
     317      554239 :     case 6: *px = gen_1; break;
     318           0 :     case 9: *px = gen_2;  break;
     319   119182840 :     default: togglesign(*px);
     320             :   }
     321   122229980 : }
     322             : /* setsigne(y, signe(x)) */
     323             : INLINE void
     324           0 : affectsign(GEN x, GEN y)
     325             : {
     326           0 :   y[1] = (x[1] & SIGNBITS) | (y[1] & ~SIGNBITS);
     327           0 : }
     328             : /* copies sign in place, except for universal constants */
     329             : INLINE void
     330     9997197 : affectsign_safe(GEN x, GEN *py)
     331             : {
     332     9997197 :   if (((*py)[1] ^ x[1]) & HIGHBIT) togglesign_safe(py);
     333     9997197 : }
     334             : /*******************************************************************/
     335             : /*                                                                 */
     336             : /*                     GEN -> LONG, LONG -> GEN                    */
     337             : /*                                                                 */
     338             : /*******************************************************************/
     339             : /* assume x != 0, return -x as a t_INT */
     340             : INLINE GEN
     341   247103773 : utoineg(ulong x) { GEN y = cgetineg(3); y[2] = x; return y; }
     342             : /* assume x != 0, return utoi(x) */
     343             : INLINE GEN
     344 12650070187 : utoipos(ulong x) { GEN y = cgetipos(3); y[2] = x; return y; }
     345             : INLINE GEN
     346 10661128870 : utoi(ulong x) { return x? utoipos(x): gen_0; }
     347             : INLINE GEN
     348   717853095 : stoi(long x)
     349             : {
     350   717853095 :   if (!x) return gen_0;
     351   499087026 :   return x > 0? utoipos((ulong)x): utoineg((ulong)-x);
     352             : }
     353             : 
     354             : /* x 2^BIL + y */
     355             : INLINE GEN
     356  7947849603 : uutoi(ulong x, ulong y)
     357             : {
     358             :   GEN z;
     359  7947849603 :   if (!x) return utoi(y);
     360   768311544 :   z = cgetipos(4);
     361   775872597 :   *int_W_lg(z, 1, 4) = x;
     362   775872597 :   *int_W_lg(z, 0, 4) = y; return z;
     363             : }
     364             : /* - (x 2^BIL + y) */
     365             : INLINE GEN
     366      246431 : uutoineg(ulong x, ulong y)
     367             : {
     368             :   GEN z;
     369      246431 :   if (!x) return y? utoineg(y): gen_0;
     370       10425 :   z = cgetineg(4);
     371       10425 :   *int_W_lg(z, 1, 4) = x;
     372       10425 :   *int_W_lg(z, 0, 4) = y; return z;
     373             : }
     374             : 
     375             : INLINE long
     376   451954468 : itos(GEN x)
     377             : {
     378   451954468 :   long s = signe(x);
     379             :   long u;
     380             : 
     381   451954468 :   if (!s) return 0;
     382   423519734 :   u = x[2];
     383   423519734 :   if (lgefint(x) > 3 || u < 0)
     384          29 :     pari_err_OVERFLOW("t_INT-->long assignment");
     385   423522420 :   return (s>0) ? u : -u;
     386             : }
     387             : /* as itos, but return 0 if too large. Cf is_bigint */
     388             : INLINE long
     389    22427793 : itos_or_0(GEN x) {
     390             :   long n;
     391    22427793 :   if (lgefint(x) != 3 || (n = x[2]) & HIGHBIT) return 0;
     392    20564768 :   return signe(x) > 0? n: -n;
     393             : }
     394             : INLINE ulong
     395   153888203 : itou(GEN x)
     396             : {
     397   153888203 :   switch(lgefint(x)) {
     398    10194697 :     case 2: return 0;
     399   143693628 :     case 3: return x[2];
     400           0 :     default:
     401           0 :       pari_err_OVERFLOW("t_INT-->ulong assignment");
     402             :       return 0; /* LCOV_EXCL_LINE */
     403             :   }
     404             : }
     405             : 
     406             : /* as itou, but return 0 if too large. Cf is_bigint */
     407             : INLINE ulong
     408     2524537 : itou_or_0(GEN x) {
     409     2524537 :   if (lgefint(x) != 3) return 0;
     410     2503466 :   return (ulong)x[2];
     411             : }
     412             : 
     413             : INLINE ulong
     414     5362019 : umuluu_or_0(ulong x, ulong y)
     415             : {
     416             :   ulong z;
     417             :   LOCAL_HIREMAINDER;
     418     5362019 :   z = mulll(x, y);
     419     5362019 :   return hiremainder? 0: z;
     420             : }
     421             : /* return x*y if <= n, else 0. Beware overflow */
     422             : INLINE ulong
     423     5620307 : umuluu_le(ulong x, ulong y, ulong n)
     424             : {
     425             :   ulong z;
     426             :   LOCAL_HIREMAINDER;
     427     5620307 :   z = mulll(x, y);
     428     5620307 :   return (hiremainder || z > n)? 0: z;
     429             : }
     430             : 
     431             : INLINE GEN
     432   487951512 : real_0_bit(long bitprec) { GEN x=cgetg(2, t_REAL); x[1]=evalexpo(bitprec); return x; }
     433             : INLINE GEN
     434      775659 : real_0(long prec) { return real_0_bit(-prec); }
     435             : INLINE GEN
     436     4478662 : real_1_bit(long bit) { return real_1(nbits2prec(bit)); }
     437             : INLINE GEN
     438   126594970 : real_1(long prec) {
     439   126594970 :   GEN x = cgetr(prec);
     440   126574044 :   long i, l = lg(x);
     441   126574044 :   x[1] = evalsigne(1) | _evalexpo(0);
     442   615620759 :   x[2] = (long)HIGHBIT; for (i=3; i<l; i++) x[i] = 0;
     443   126574044 :   return x;
     444             : }
     445             : INLINE GEN
     446         393 : real_m1(long prec) {
     447         393 :   GEN x = cgetr(prec);
     448         393 :   long i, l = lg(x);
     449         393 :   x[1] = evalsigne(-1) | _evalexpo(0);
     450        1685 :   x[2] = (long)HIGHBIT; for (i=3; i<l; i++) x[i] = 0;
     451         393 :   return x;
     452             : }
     453             : 
     454             : /* 2.^n */
     455             : INLINE GEN
     456     1019571 : real2n(long n, long prec) { GEN z = real_1(prec); setexpo(z, n); return z; }
     457             : INLINE GEN
     458           0 : real_m2n(long n, long prec) { GEN z = real_m1(prec); setexpo(z, n); return z; }
     459             : INLINE GEN
     460   486560420 : stor(long s, long prec) { GEN z = cgetr(prec); affsr(s,z); return z; }
     461             : INLINE GEN
     462    13242668 : utor(ulong s, long prec){ GEN z = cgetr(prec); affur(s,z); return z; }
     463             : INLINE GEN
     464   684889199 : itor(GEN x, long prec) { GEN z = cgetr(prec); affir(x,z); return z; }
     465             : INLINE GEN
     466   290488291 : rtor(GEN x, long prec) { GEN z = cgetr(prec); affrr(x,z); return z; }
     467             : 
     468             : INLINE ulong
     469    21928777 : int_bit(GEN x, long n)
     470             : {
     471    21928777 :   long r, q = dvmdsBIL(n, &r);
     472    21909607 :   return q < lgefint(x)-2?((ulong)*int_W(x,q) >> r) & 1UL:0;
     473             : }
     474             : 
     475             : /*******************************************************************/
     476             : /*                                                                 */
     477             : /*                           COMPARISON                            */
     478             : /*                                                                 */
     479             : /*******************************************************************/
     480             : INLINE int
     481     1289805 : cmpss(long a, long b)
     482     1289805 : { return a>b? 1: (a<b? -1: 0); }
     483             : 
     484             : INLINE int
     485  1441013629 : cmpuu(ulong a, ulong b)
     486  1441013629 : { return a>b? 1: (a<b? -1: 0); }
     487             : 
     488             : INLINE int
     489    10414701 : cmpir(GEN x, GEN y)
     490             : {
     491             :   pari_sp av;
     492             :   GEN z;
     493             : 
     494    10414701 :   if (!signe(x)) return -signe(y);
     495      565756 :   if (!signe(y))
     496             :   {
     497        5573 :     if (expo(y) >= expi(x)) return 0;
     498        5545 :     return signe(x);
     499             :   }
     500      560183 :   av=avma; z = itor(x, realprec(y)); set_avma(av);
     501      560198 :   return cmprr(z,y); /* cmprr does no memory adjustment */
     502             : }
     503             : INLINE int
     504      445376 : cmpri(GEN x, GEN y) { return -cmpir(y,x); }
     505             : INLINE int
     506      644812 : cmpsr(long x, GEN y)
     507             : {
     508             :   pari_sp av;
     509             :   GEN z;
     510             : 
     511      644812 :   if (!x) return -signe(y);
     512      644812 :   av=avma; z = stor(x, LOWDEFAULTPREC); set_avma(av);
     513      644812 :   return cmprr(z,y);
     514             : }
     515             : INLINE int
     516       40996 : cmprs(GEN x, long y) { return -cmpsr(y,x); }
     517             : /* compare x and y */
     518             : INLINE int
     519     8743167 : cmpui(ulong x, GEN y)
     520             : {
     521             :   ulong p;
     522     8743167 :   if (!x) return -signe(y);
     523     8743104 :   if (signe(y) <= 0) return 1;
     524     8615186 :   if (lgefint(y) > 3) return -1;
     525     8386968 :   p = y[2]; if (p == x) return 0;
     526     8317004 :   return p < x ? 1 : -1;
     527             : }
     528             : INLINE int
     529     8743149 : cmpiu(GEN x, ulong y) { return -cmpui(y,x); }
     530             : /* compare x and |y| */
     531             : INLINE int
     532    34110055 : abscmpui(ulong x, GEN y)
     533             : {
     534    34110055 :   long l = lgefint(y);
     535             :   ulong p;
     536             : 
     537    34110055 :   if (!x) return (l > 2)? -1: 0;
     538    34110041 :   if (l == 2) return 1;
     539    33762907 :   if (l > 3) return -1;
     540    33734880 :   p = y[2]; if (p == x) return 0;
     541    33106596 :   return p < x ? 1 : -1;
     542             : }
     543             : INLINE int
     544    34109832 : abscmpiu(GEN x, ulong y) { return -abscmpui(y,x); }
     545             : INLINE int
     546     3516791 : cmpsi(long x, GEN y)
     547             : {
     548             :   ulong p;
     549             : 
     550     3516791 :   if (!x) return -signe(y);
     551             : 
     552     3513619 :   if (x > 0)
     553             :   {
     554     3512639 :     if (signe(y)<=0) return 1;
     555     3501467 :     if (lgefint(y)>3) return -1;
     556     3486146 :     p = y[2]; if (p == (ulong)x) return 0;
     557     3416416 :     return p < (ulong)x ? 1 : -1;
     558             :   }
     559             : 
     560         980 :   if (signe(y)>=0) return -1;
     561         119 :   if (lgefint(y)>3) return 1;
     562         119 :   p = y[2]; if (p == (ulong)-x) return 0;
     563          14 :   return p < (ulong)(-x) ? -1 : 1;
     564             : }
     565             : INLINE int
     566     3491449 : cmpis(GEN x, long y) { return -cmpsi(y,x); }
     567             : INLINE int
     568     2126083 : mpcmp(GEN x, GEN y)
     569             : {
     570     2126083 :   if (typ(x)==t_INT)
     571       60316 :     return (typ(y)==t_INT) ? cmpii(x,y) : cmpir(x,y);
     572     2065767 :   return (typ(y)==t_INT) ? -cmpir(y,x) : cmprr(x,y);
     573             : }
     574             : 
     575             : /* x == y ? */
     576             : INLINE int
     577     2916480 : equalui(ulong x, GEN y)
     578             : {
     579     2916480 :   if (!x) return !signe(y);
     580     2915787 :   if (signe(y) <= 0 || lgefint(y) != 3) return 0;
     581     2904225 :   return ((ulong)y[2] == (ulong)x);
     582             : }
     583             : /* x == y ? */
     584             : INLINE int
     585     1025603 : equalsi(long x, GEN y)
     586             : {
     587     1025603 :   if (!x) return !signe(y);
     588     1025603 :   if (x > 0)
     589             :   {
     590     1023405 :     if (signe(y) <= 0 || lgefint(y) != 3) return 0;
     591      970986 :     return ((ulong)y[2] == (ulong)x);
     592             :   }
     593        2198 :   if (signe(y) >= 0 || lgefint(y) != 3) return 0;
     594        2078 :   return ((ulong)y[2] == (ulong)-x);
     595             : }
     596             : /* x == |y| ? */
     597             : INLINE int
     598    41604709 : absequalui(ulong x, GEN y)
     599             : {
     600    41604709 :   if (!x) return !signe(y);
     601    41604709 :   return (lgefint(y) == 3 && (ulong)y[2] == x);
     602             : }
     603             : INLINE int
     604    39879307 : absequaliu(GEN x, ulong y) { return absequalui(y,x); }
     605             : INLINE int
     606     1025420 : equalis(GEN x, long y) { return equalsi(y,x); }
     607             : INLINE int
     608     2916479 : equaliu(GEN x, ulong y) { return equalui(y,x); }
     609             : 
     610             : /* assume x != 0, is |x| == 2^n ? */
     611             : INLINE int
     612     1345498 : absrnz_equal2n(GEN x) {
     613     1345498 :   if ((ulong)x[2]==HIGHBIT)
     614             :   {
     615       44212 :     long i, lx = lg(x);
     616      142496 :     for (i = 3; i < lx; i++)
     617      105851 :       if (x[i]) return 0;
     618       36645 :     return 1;
     619             :   }
     620     1301286 :   return 0;
     621             : }
     622             : /* assume x != 0, is |x| == 1 ? */
     623             : INLINE int
     624     4205946 : absrnz_equal1(GEN x) { return !expo(x) && absrnz_equal2n(x); }
     625             : 
     626             : INLINE long
     627  9067910065 : maxss(long x, long y) { return x>y?x:y; }
     628             : INLINE long
     629  1646469894 : minss(long x, long y) { return x<y?x:y; }
     630             : INLINE long
     631     9450548 : minuu(ulong x, ulong y) { return x<y?x:y; }
     632             : INLINE long
     633    19548271 : maxuu(ulong x, ulong y) { return x>y?x:y; }
     634             : INLINE double
     635     3025576 : maxdd(double x, double y) { return x>y?x:y; }
     636             : INLINE double
     637      251167 : mindd(double x, double y) { return x<y?x:y; }
     638             : 
     639             : /*******************************************************************/
     640             : /*                                                                 */
     641             : /*                             ADD / SUB                           */
     642             : /*                                                                 */
     643             : /*******************************************************************/
     644             : INLINE GEN
     645       25067 : subuu(ulong x, ulong y)
     646             : {
     647             :   ulong z;
     648             :   LOCAL_OVERFLOW;
     649       25067 :   z = subll(x, y);
     650       25067 :   return overflow? utoineg(-z): utoi(z);
     651             : }
     652             : INLINE GEN
     653  3126339604 : adduu(ulong x, ulong y) { ulong t = x+y; return uutoi((t < x), t); }
     654             : 
     655             : INLINE GEN
     656       25067 : addss(long x, long y)
     657             : {
     658       25067 :   if (!x) return stoi(y);
     659       25067 :   if (!y) return stoi(x);
     660       25067 :   if (x > 0) return y > 0? adduu(x,y): subuu(x, -y);
     661             : 
     662       25067 :   if (y > 0) return subuu(y, -x);
     663             :   else { /* - adduu(-x, -y) */
     664           0 :     ulong t = (-x)+(-y); return uutoineg((t < (ulong)(-x)), t);
     665             :   }
     666             : }
     667       25067 : INLINE GEN subss(long x, long y) { return addss(-y,x); }
     668             : 
     669             : INLINE GEN
     670  7506422648 : subii(GEN x, GEN y)
     671             : {
     672  7506422648 :   if (x==y) return gen_0; /* frequent with x = y = gen_0 */
     673  6180587121 :   return addii_sign(x, signe(x), y, -signe(y));
     674             : }
     675             : INLINE GEN
     676 10321545036 : addii(GEN x, GEN y) { return addii_sign(x, signe(x), y, signe(y)); }
     677             : INLINE GEN
     678  2827496645 : addrr(GEN x, GEN y) { return addrr_sign(x, signe(x), y, signe(y)); }
     679             : INLINE GEN
     680   958749613 : subrr(GEN x, GEN y) { return addrr_sign(x, signe(x), y, -signe(y)); }
     681             : INLINE GEN
     682   472793350 : addir(GEN x, GEN y) { return addir_sign(x, signe(x), y, signe(y)); }
     683             : INLINE GEN
     684     3011511 : subir(GEN x, GEN y) { return addir_sign(x, signe(x), y, -signe(y)); }
     685             : INLINE GEN
     686     5964927 : subri(GEN x, GEN y) { return addir_sign(y, -signe(y), x, signe(x)); }
     687             : INLINE GEN
     688   295959615 : addsi(long x, GEN y) { return addsi_sign(x, y, signe(y)); }
     689             : INLINE GEN
     690    95466169 : addui(ulong x, GEN y) { return addui_sign(x, y, signe(y)); }
     691             : INLINE GEN
     692     5820367 : subsi(long x, GEN y) { return addsi_sign(x, y, -signe(y)); }
     693             : INLINE GEN
     694   131276168 : subui(ulong x, GEN y) { return addui_sign(x, y, -signe(y)); }
     695             : 
     696             : /*******************************************************************/
     697             : /*                                                                 */
     698             : /*                           MOD, REM, DIV                         */
     699             : /*                                                                 */
     700             : /*******************************************************************/
     701    92807978 : INLINE ulong mod2BIL(GEN x) { return *int_LSW(x); }
     702           0 : INLINE long mod64(GEN x) { return mod2BIL(x) & 63; }
     703         259 : INLINE long mod32(GEN x) { return mod2BIL(x) & 31; }
     704      236259 : INLINE long mod16(GEN x) { return mod2BIL(x) & 15; }
     705    12786133 : INLINE long mod8(GEN x)  { return mod2BIL(x) & 7; }
     706     4084386 : INLINE long mod4(GEN x)  { return mod2BIL(x) & 3; }
     707    52980232 : INLINE long mod2(GEN x)  { return mod2BIL(x) & 1; }
     708             : INLINE int
     709    84259832 : mpodd(GEN x) { return signe(x) && mod2(x); }
     710             : /* x mod 2^n, n < BITS_IN_LONG */
     711             : INLINE ulong
     712    46430749 : umodi2n(GEN x, long n)
     713             : {
     714    46430749 :   long s = signe(x);
     715    46430749 :   const ulong _2n = 1UL << n;
     716             :   ulong m;
     717    46430749 :   if (!s) return 0;
     718    44936457 :   m = *int_LSW(x) & (_2n - 1);
     719    44936457 :   if (s < 0 && m) m = _2n - m;
     720    44936457 :   return m;
     721             : }
     722           0 : INLINE ulong Mod64(GEN x){ return umodi2n(x,6); }
     723      183225 : INLINE ulong Mod32(GEN x){ return umodi2n(x,5); }
     724      260401 : INLINE ulong Mod16(GEN x){ return umodi2n(x,4); }
     725     1780954 : INLINE ulong Mod8(GEN x) { return umodi2n(x,3); }
     726    42488311 : INLINE ulong Mod4(GEN x) { return umodi2n(x,2); }
     727     1717695 : INLINE ulong Mod2(GEN x) { return umodi2n(x,1); }
     728             : 
     729             : INLINE GEN
     730    45882323 : truedivii(GEN a,GEN b) { return truedvmdii(a,b,NULL); }
     731             : INLINE GEN
     732      248123 : truedivis(GEN a, long b) { return truedvmdis(a,b,NULL); }
     733             : INLINE GEN
     734     6197775 : truedivsi(long a, GEN b) { return truedvmdsi(a,b,NULL); }
     735             : 
     736             : INLINE GEN
     737    13167777 : divii(GEN a, GEN b) { return dvmdii(a,b,NULL); }
     738             : INLINE GEN
     739  2474029459 : remii(GEN a, GEN b) { return dvmdii(a,b,ONLY_REM); }
     740             : 
     741             : INLINE GEN
     742           0 : divss(long x, long y) { return stoi(x / y); }
     743             : INLINE GEN
     744           0 : modss(long x, long y) { return utoi(smodss(x, y)); }
     745             : INLINE GEN
     746           0 : remss(long x, long y) { return stoi(x % y); }
     747             : INLINE long
     748        6914 : smodss(long x, long y)
     749             : {
     750        6914 :   long r = x%y;
     751        6914 :   return (r >= 0)? r: labs(y) + r;
     752             : }
     753             : INLINE ulong
     754   715972196 : umodsu(long x, ulong y)
     755             : {
     756   715972196 :   return x>=0 ? x%y: Fl_neg((-x)%y, y);
     757             : }
     758             : 
     759             : INLINE long
     760           0 : sdivss_rem(long x, long y, long *r)
     761             : {
     762             :   long q;
     763             :   LOCAL_HIREMAINDER;
     764           0 :   if (!y) pari_err_INV("sdivss_rem",gen_0);
     765           0 :   hiremainder = 0; q = divll((ulong)labs(x),(ulong)labs(y));
     766           0 :   if (x < 0) { hiremainder = -((long)hiremainder); q = -q; }
     767           0 :   if (y < 0) q = -q;
     768           0 :   *r = hiremainder; return q;
     769             : }
     770             : INLINE GEN
     771           0 : divss_rem(long x, long y, long *r) { return stoi(sdivss_rem(x,y,r)); }
     772             : INLINE ulong
     773   158565677 : udivuu_rem(ulong x, ulong y, ulong *r)
     774             : {
     775   158565677 :   if (!y) pari_err_INV("udivuu_rem",gen_0);
     776   158565677 :   *r = x % y; return x / y;
     777             : }
     778             : INLINE ulong
     779     2013797 : ceildivuu(ulong a, ulong b)
     780             : {
     781             :   ulong c;
     782     2013797 :   if (!a) return 0;
     783     1835521 :   c = a / b; return (a % b)? c+1: c;
     784             : }
     785             : 
     786             : INLINE ulong
     787       15773 : uabsdivui_rem(ulong x, GEN y, ulong *r)
     788             : {
     789       15773 :   long q, s = signe(y);
     790             :   LOCAL_HIREMAINDER;
     791             : 
     792       15773 :   if (!s) pari_err_INV("uabsdivui_rem",gen_0);
     793       15773 :   if (!x || lgefint(y)>3) { *r = x; return 0; }
     794       15109 :   hiremainder=0; q = (long)divll(x, (ulong)y[2]);
     795       15109 :   if (s < 0) q = -q;
     796       15109 :   *r = hiremainder; return q;
     797             : }
     798             : 
     799             : /* assume d != 0 and |n| / d can be represented as an ulong.
     800             :  * Return |n|/d, set *r = |n| % d */
     801             : INLINE ulong
     802     8349446 : uabsdiviu_rem(GEN n, ulong d, ulong *r)
     803             : {
     804     8349446 :   switch(lgefint(n))
     805             :   {
     806           0 :     case 2: *r = 0; return 0;
     807     8349446 :     case 3:
     808             :     {
     809     8349446 :       ulong nn = n[2];
     810     8349446 :       *r = nn % d; return nn / d;
     811             :     }
     812           0 :     default: /* 4 */
     813             :     {
     814             :       ulong n1, n0, q;
     815             :       LOCAL_HIREMAINDER;
     816           0 :       n0 = *int_W(n,0);
     817           0 :       n1 = *int_W(n,1);
     818           0 :       hiremainder = n1;
     819           0 :       q = divll(n0, d);
     820           0 :       *r = hiremainder; return q;
     821             :     }
     822             :   }
     823             : }
     824             : 
     825             : INLINE long
     826    51415368 : sdivsi_rem(long x, GEN y, long *r)
     827             : {
     828    51415368 :   long q, s = signe(y);
     829             :   LOCAL_HIREMAINDER;
     830             : 
     831    51415368 :   if (!s) pari_err_INV("sdivsi_rem",gen_0);
     832    51415368 :   if (!x || lgefint(y)>3 || ((long)y[2]) < 0) { *r = x; return 0; }
     833    49461283 :   hiremainder=0; q = (long)divll(labs(x), (ulong)y[2]);
     834    49461283 :   if (x < 0) { hiremainder = -((long)hiremainder); q = -q; }
     835    49461283 :   if (s < 0) q = -q;
     836    49461283 :   *r = hiremainder; return q;
     837             : }
     838             : INLINE GEN
     839           0 : divsi_rem(long s, GEN y, long *r) { return stoi(sdivsi_rem(s,y,r)); }
     840             : 
     841             : INLINE long
     842      100946 : sdivsi(long x, GEN y)
     843             : {
     844      100946 :   long q, s = signe(y);
     845             : 
     846      100946 :   if (!s) pari_err_INV("sdivsi",gen_0);
     847      100946 :   if (!x || lgefint(y)>3 || ((long)y[2]) < 0) return 0;
     848      100841 :   q = labs(x) / y[2];
     849      100841 :   if (x < 0) q = -q;
     850      100841 :   if (s < 0) q = -q;
     851      100841 :   return q;
     852             : }
     853             : 
     854             : INLINE GEN
     855           0 : dvmdss(long x, long y, GEN *z)
     856             : {
     857             :   long r;
     858           0 :   GEN q = divss_rem(x,y, &r);
     859           0 :   *z = stoi(r); return q;
     860             : }
     861             : INLINE long
     862  6812948689 : dvmdsBIL(long n, long *r) { *r = remsBIL(n); return divsBIL(n); }
     863             : INLINE ulong
     864   164255009 : dvmduBIL(ulong n, ulong *r) { *r = remsBIL(n); return divsBIL(n); }
     865             : INLINE GEN
     866           0 : dvmdsi(long x, GEN y, GEN *z)
     867             : {
     868             :   long r;
     869           0 :   GEN q = divsi_rem(x,y, &r);
     870           0 :   *z = stoi(r); return q;
     871             : }
     872             : INLINE GEN
     873           0 : dvmdis(GEN x, long y, GEN *z)
     874             : {
     875             :   long r;
     876           0 :   GEN q = divis_rem(x,y, &r);
     877           0 :   *z = stoi(r); return q;
     878             : }
     879             : 
     880             : INLINE long
     881    21063940 : smodis(GEN x, long y)
     882             : {
     883    21063940 :   pari_sp av = avma;
     884    21063940 :   long r; (void)divis_rem(x,y, &r);
     885    21063940 :   return gc_long(av, (r >= 0)? r: labs(y) + r);
     886             : }
     887             : INLINE GEN
     888    19602389 : modis(GEN x, long y) { return stoi(smodis(x,y)); }
     889             : INLINE GEN
     890    45217348 : modsi(long x, GEN y) {
     891    45217348 :   long r; (void)sdivsi_rem(x, y, &r);
     892    45217348 :   return (r >= 0)? stoi(r): addsi_sign(r, y, 1);
     893             : }
     894             : 
     895             : INLINE ulong
     896     1511727 : umodui(ulong x, GEN y)
     897             : {
     898     1511727 :   if (!signe(y)) pari_err_INV("umodui",gen_0);
     899     1511727 :   if (!x || lgefint(y) > 3) return x;
     900      415241 :   return x % (ulong)y[2];
     901             : }
     902             : 
     903             : INLINE ulong
     904      211590 : ugcdiu(GEN x, ulong y) { return ugcd(umodiu(x,y), y); }
     905             : INLINE ulong
     906        2737 : ugcdui(ulong y, GEN x) { return ugcd(umodiu(x,y), y); }
     907             : 
     908             : INLINE GEN
     909           0 : remsi(long x, GEN y)
     910           0 : { long r; (void)sdivsi_rem(x,y, &r); return stoi(r); }
     911             : INLINE GEN
     912           0 : remis(GEN x, long y)
     913             : {
     914           0 :   pari_sp av = avma;
     915             :   long r;
     916           0 :   (void)divis_rem(x,y, &r); return gc_stoi(av, r);
     917             : }
     918             : 
     919             : INLINE GEN
     920           0 : rdivis(GEN x, long y, long prec)
     921             : {
     922           0 :   GEN z = cgetr(prec);
     923           0 :   pari_sp av = avma;
     924           0 :   affrr(divrs(itor(x,prec), y),z);
     925           0 :   set_avma(av); return z;
     926             : }
     927             : INLINE GEN
     928           0 : rdivsi(long x, GEN y, long prec)
     929             : {
     930           0 :   GEN z = cgetr(prec);
     931           0 :   pari_sp av = avma;
     932           0 :   affrr(divsr(x, itor(y,prec)), z);
     933           0 :   set_avma(av); return z;
     934             : }
     935             : INLINE GEN
     936      839647 : rdivss(long x, long y, long prec)
     937             : {
     938      839647 :   GEN z = cgetr(prec);
     939      839647 :   pari_sp av = avma;
     940      839647 :   affrr(divrs(stor(x, prec), y), z);
     941      839647 :   set_avma(av); return z;
     942             : }
     943             : 
     944             : INLINE void
     945    11942101 : rdiviiz(GEN x, GEN y, GEN z)
     946             : {
     947    11942101 :   long lz = lg(z), lx = lgefint(x), ly = lgefint(y);
     948    11942101 :   if (lx == 2) { affur(0, z); return; }
     949    11942101 :   if (ly == 3)
     950             :   {
     951     2219841 :     affir(x, z); if (signe(y) < 0) togglesign(z);
     952     2219831 :     affrr(divru(z, y[2]), z);
     953             :   }
     954     9722260 :   else if (lx > lz + 1 || ly > lz + 1)
     955             :   {
     956     4960361 :     affir(x,z); affrr(divri(z, y), z);
     957             :   }
     958             :   else
     959             :   {
     960     4761899 :     long b = lg2prec(lz) + expi(y) - expi(x) + 1;
     961     4762259 :     GEN q = divii(b > 0? shifti(x, b): x, y);
     962     4762550 :     affir(q, z); if (b > 0) shiftr_inplace(z, -b);
     963             :   }
     964    11947956 :   set_avma((ulong)z);
     965             : }
     966             : INLINE GEN
     967    11897851 : rdivii(GEN x, GEN y, long prec)
     968    11897851 : { GEN z = cgetr(prec); rdiviiz(x, y, z); return z; }
     969             : INLINE GEN
     970     7353735 : fractor(GEN x, long prec)
     971     7353735 : { return rdivii(gel(x,1), gel(x,2), prec); }
     972             : 
     973             : INLINE int
     974    16542449 : dvdii(GEN x, GEN y)
     975             : {
     976    16542449 :   pari_sp av = avma;
     977             :   GEN r;
     978    16542449 :   if (!signe(x)) return 1;
     979    15248577 :   if (!signe(y)) return 0;
     980    15248577 :   r = remii(x,y);
     981    15254835 :   return gc_bool(av, r == gen_0);
     982             : }
     983             : INLINE int
     984         371 : dvdsi(long x, GEN y)
     985             : {
     986         371 :   if (x == 0) return 1;
     987         266 :   if (!signe(y)) return 0;
     988         266 :   if (lgefint(y) != 3) return 0;
     989         259 :   return x % y[2] == 0;
     990             : }
     991             : INLINE int
     992      167195 : dvdui(ulong x, GEN y)
     993             : {
     994      167195 :   if (x == 0) return 1;
     995      167195 :   if (!signe(y)) return 0;
     996      167195 :   if (lgefint(y) != 3) return 0;
     997      156574 :   return x % y[2] == 0;
     998             : }
     999             : INLINE int
    1000       33520 : dvdis(GEN x, long y)
    1001       33520 : { return y? smodis(x, y) == 0: signe(x) == 0; }
    1002             : INLINE int
    1003      576510 : dvdiu(GEN x, ulong y)
    1004      576510 : { return y? umodiu(x, y) == 0: signe(x) == 0; }
    1005             : 
    1006             : INLINE int
    1007           0 : dvdisz(GEN x, long y, GEN z)
    1008             : {
    1009           0 :   const pari_sp av = avma;
    1010             :   long r;
    1011           0 :   GEN p1 = divis_rem(x,y, &r);
    1012           0 :   set_avma(av); if (r) return 0;
    1013           0 :   affii(p1,z); return 1;
    1014             : }
    1015             : INLINE int
    1016           0 : dvdiuz(GEN x, ulong y, GEN z)
    1017             : {
    1018           0 :   const pari_sp av = avma;
    1019             :   ulong r;
    1020           0 :   GEN p1 = absdiviu_rem(x,y, &r);
    1021           0 :   set_avma(av); if (r) return 0;
    1022           0 :   affii(p1,z); return 1;
    1023             : }
    1024             : INLINE int
    1025        5431 : dvdiiz(GEN x, GEN y, GEN z)
    1026             : {
    1027        5431 :   const pari_sp av=avma;
    1028        5431 :   GEN p2, p1 = dvmdii(x,y,&p2);
    1029        5431 :   if (signe(p2)) return gc_bool(av,0);
    1030        4230 :   affii(p1,z); return gc_bool(av,1);
    1031             : }
    1032             : 
    1033             : INLINE ulong
    1034    81847230 : remlll_pre(ulong u2, ulong u1, ulong u0, ulong n, ulong ninv)
    1035             : {
    1036    81847230 :   u1 = remll_pre(u2, u1, n, ninv);
    1037    82734371 :   return remll_pre(u1, u0, n, ninv);
    1038             : }
    1039             : 
    1040             : INLINE ulong
    1041  1991276351 : Fl_sqr_pre(ulong a, ulong p, ulong pi)
    1042             : {
    1043             :   ulong x;
    1044             :   LOCAL_HIREMAINDER;
    1045  1991276351 :   x = mulll(a,a);
    1046  1991276351 :   return remll_pre(hiremainder, x, p, pi);
    1047             : }
    1048             : 
    1049             : INLINE ulong
    1050  3324475158 : Fl_mul_pre(ulong a, ulong b, ulong p, ulong pi)
    1051             : {
    1052             :   ulong x;
    1053             :   LOCAL_HIREMAINDER;
    1054  3324475158 :   x = mulll(a,b);
    1055  3324475158 :   return remll_pre(hiremainder, x, p, pi);
    1056             : }
    1057             : 
    1058             : INLINE ulong
    1059  7057622246 : Fl_addmul_pre(ulong y0, ulong x0, ulong x1, ulong p, ulong pi)
    1060             : {
    1061             :   ulong l0, h0;
    1062             :   LOCAL_HIREMAINDER;
    1063  7057622246 :   hiremainder = y0;
    1064  7057622246 :   l0 = addmul(x0, x1); h0 = hiremainder;
    1065  7057622246 :   return remll_pre(h0, l0, p, pi);
    1066             : }
    1067             : 
    1068             : INLINE ulong
    1069    55551433 : Fl_addmulmul_pre(ulong x0, ulong y0, ulong x1, ulong y1, ulong p, ulong pi)
    1070             : {
    1071             :   ulong l0, l1, h0, h1;
    1072             :   LOCAL_OVERFLOW;
    1073             :   LOCAL_HIREMAINDER;
    1074    55551433 :   l0 = mulll(x0, y0); h0 = hiremainder;
    1075    55551433 :   l1 = mulll(x1, y1); h1 = hiremainder;
    1076    55551433 :   l0 = addll(l0, l1); h0 = addllx(h0, h1);
    1077    55551433 :   return overflow ? remlll_pre(1, h0, l0, p, pi): remll_pre(h0, l0, p, pi);
    1078             : }
    1079             : 
    1080             : INLINE ulong
    1081      219831 : Fl_ellj_pre(ulong a4, ulong a6, ulong p, ulong pi)
    1082             : {
    1083             :   /* a43 = 4 a4^3 */
    1084      219831 :   ulong a43 = Fl_double(Fl_double(
    1085             :               Fl_mul_pre(a4, Fl_sqr_pre(a4, p, pi), p, pi), p), p);
    1086             :   /* a62 = 27 a6^2 */
    1087      219836 :   ulong a62 = Fl_mul_pre(Fl_sqr_pre(a6, p, pi), 27 % p, p, pi);
    1088      219837 :   ulong z1 = Fl_mul_pre(a43, 1728 % p, p, pi);
    1089      219837 :   ulong z2 = Fl_add(a43, a62, p);
    1090      219836 :   return Fl_div(z1, z2, p);
    1091             : }
    1092             : 
    1093             : /*******************************************************************/
    1094             : /*                                                                 */
    1095             : /*                        MP (INT OR REAL)                         */
    1096             : /*                                                                 */
    1097             : /*******************************************************************/
    1098             : INLINE GEN
    1099          49 : mptrunc(GEN x) { return typ(x)==t_INT? icopy(x): truncr(x); }
    1100             : INLINE GEN
    1101           0 : mpfloor(GEN x) { return typ(x)==t_INT? icopy(x): floorr(x); }
    1102             : INLINE GEN
    1103           0 : mpceil(GEN x) { return typ(x)==t_INT? icopy(x): ceilr(x); }
    1104             : INLINE GEN
    1105     1848104 : mpround(GEN x) { return typ(x) == t_INT? icopy(x): roundr(x); }
    1106             : 
    1107             : INLINE long
    1108    33227861 : mpexpo(GEN x) { return typ(x) == t_INT? expi(x): expo(x); }
    1109             : 
    1110             : INLINE GEN
    1111   590146011 : mpadd(GEN x, GEN y)
    1112             : {
    1113   590146011 :   if (typ(x)==t_INT)
    1114    20171652 :     return (typ(y)==t_INT) ? addii(x,y) : addir(x,y);
    1115   569974359 :   return (typ(y)==t_INT) ? addir(y,x) : addrr(x,y);
    1116             : }
    1117             : INLINE GEN
    1118   250232420 : mpsub(GEN x, GEN y)
    1119             : {
    1120   250232420 :   if (typ(x)==t_INT)
    1121      500376 :     return (typ(y)==t_INT) ? subii(x,y) : subir(x,y);
    1122   249732044 :   return (typ(y)==t_INT) ? subri(x,y) : subrr(x,y);
    1123             : }
    1124             : INLINE GEN
    1125   841673590 : mpmul(GEN x, GEN y)
    1126             : {
    1127   841673590 :   if (typ(x)==t_INT)
    1128    37411971 :     return (typ(y)==t_INT) ? mulii(x,y) : mulir(x,y);
    1129   804261619 :   return (typ(y)==t_INT) ? mulir(y,x) : mulrr(x,y);
    1130             : }
    1131             : INLINE GEN
    1132    82505250 : mpsqr(GEN x) { return (typ(x)==t_INT) ? sqri(x) : sqrr(x); }
    1133             : INLINE GEN
    1134      663951 : mpdiv(GEN x, GEN y)
    1135             : {
    1136      663951 :   if (typ(x)==t_INT)
    1137      260444 :     return (typ(y)==t_INT) ? divii(x,y) : divir(x,y);
    1138      403507 :   return (typ(y)==t_INT) ? divri(x,y) : divrr(x,y);
    1139             : }
    1140             : 
    1141             : /*******************************************************************/
    1142             : /*                                                                 */
    1143             : /*                          Z/nZ, n ULONG                          */
    1144             : /*                                                                 */
    1145             : /*******************************************************************/
    1146             : INLINE ulong
    1147   440098428 : Fl_double(ulong a, ulong p)
    1148             : {
    1149   440098428 :   ulong res = a << 1;
    1150   440098428 :   return (res >= p || res < a) ? res - p : res;
    1151             : }
    1152             : INLINE ulong
    1153    88529872 : Fl_triple(ulong a, ulong p)
    1154             : {
    1155    88529872 :   ulong res = a << 1;
    1156    88529872 :   if (res >= p || res < a) res -= p;
    1157    88529872 :   res += a;
    1158    88529872 :   return (res >= p || res < a)? res - p: res;
    1159             : }
    1160             : INLINE ulong
    1161    16876456 : Fl_halve(ulong a, ulong p)
    1162             : {
    1163             :   ulong ap, ap2;
    1164    16876456 :   if ((a&1UL)==0) return a>>1;
    1165     8489866 :   ap = a + p; ap2 = ap>>1;
    1166     8489866 :   return ap>=a ? ap2: (ap2|HIGHBIT);
    1167             : }
    1168             : 
    1169             : INLINE ulong
    1170  4076275069 : Fl_add(ulong a, ulong b, ulong p)
    1171             : {
    1172  4076275069 :   ulong res = a + b;
    1173  4076275069 :   return (res >= p || res < a) ? res - p : res;
    1174             : }
    1175             : INLINE ulong
    1176   697520091 : Fl_neg(ulong x, ulong p) { return x ? p - x: 0; }
    1177             : 
    1178             : INLINE ulong
    1179  6737811217 : Fl_sub(ulong a, ulong b, ulong p)
    1180             : {
    1181  6737811217 :   ulong res = a - b;
    1182  6737811217 :   return (res > a) ? res + p: res;
    1183             : }
    1184             : 
    1185             : /* centerlift(u mod p) */
    1186             : INLINE long
    1187     3928665 : Fl_center(ulong u, ulong p, ulong ps2) { return (long) (u > ps2)? u - p: u; }
    1188             : 
    1189             : INLINE ulong
    1190  2264095273 : Fl_mul(ulong a, ulong b, ulong p)
    1191             : {
    1192             :   ulong x;
    1193             :   LOCAL_HIREMAINDER;
    1194  2264095273 :   x = mulll(a,b);
    1195  2264095273 :   if (!hiremainder) return x % p;
    1196   349795038 :   (void)divll(x,p); return hiremainder;
    1197             : }
    1198             : INLINE ulong
    1199    96579256 : Fl_sqr(ulong a, ulong p)
    1200             : {
    1201             :   ulong x;
    1202             :   LOCAL_HIREMAINDER;
    1203    96579256 :   x = mulll(a,a);
    1204    96579256 :   if (!hiremainder) return x % p;
    1205    25797630 :   (void)divll(x,p); return hiremainder;
    1206             : }
    1207             : /* don't assume that p is prime: can't special case a = 0 */
    1208             : INLINE ulong
    1209    33021427 : Fl_div(ulong a, ulong b, ulong p)
    1210    33021427 : { return Fl_mul(a, Fl_inv(b, p), p); }
    1211             : 
    1212             : /*******************************************************************/
    1213             : /*                                                                 */
    1214             : /*        DEFINED FROM EXISTING ONE EXPLOITING COMMUTATIVITY       */
    1215             : /*                                                                 */
    1216             : /*******************************************************************/
    1217             : INLINE GEN
    1218     1098707 : addri(GEN x, GEN y) { return addir(y,x); }
    1219             : INLINE GEN
    1220   170789366 : addis(GEN x, long s) { return addsi(s,x); }
    1221             : INLINE GEN
    1222    92185127 : addiu(GEN x, ulong s) { return addui(s,x); }
    1223             : INLINE GEN
    1224    12007968 : addrs(GEN x, long s) { return addsr(s,x); }
    1225             : 
    1226             : INLINE GEN
    1227   127063101 : subiu(GEN x, long y) { GEN z = subui(y, x); togglesign(z); return z; }
    1228             : INLINE GEN
    1229      169859 : subis(GEN x, long y) { return addsi(-y,x); }
    1230             : INLINE GEN
    1231    15990061 : subrs(GEN x, long y) { return addsr(-y,x); }
    1232             : 
    1233             : INLINE GEN
    1234   482701502 : mulis(GEN x, long s) { return mulsi(s,x); }
    1235             : INLINE GEN
    1236   363613444 : muliu(GEN x, ulong s) { return mului(s,x); }
    1237             : INLINE GEN
    1238     2766284 : mulru(GEN x, ulong s) { return mulur(s,x); }
    1239             : INLINE GEN
    1240    34230211 : mulri(GEN x, GEN s) { return mulir(s,x); }
    1241             : INLINE GEN
    1242     7114592 : mulrs(GEN x, long s) { return mulsr(s,x); }
    1243             : 
    1244             : /*******************************************************************/
    1245             : /*                                                                 */
    1246             : /*                  VALUATION, EXPONENT, SHIFTS                    */
    1247             : /*                                                                 */
    1248             : /*******************************************************************/
    1249             : INLINE long
    1250   177695763 : vali(GEN x)
    1251             : {
    1252             :   long i;
    1253             :   GEN xp;
    1254             : 
    1255   177695763 :   if (!signe(x)) return -1;
    1256   177618954 :   xp=int_LSW(x);
    1257   182786251 :   for (i=0; !*xp; i++) xp=int_nextW(xp);
    1258   177618954 :   return vals(*xp) + i * BITS_IN_LONG;
    1259             : }
    1260             : 
    1261             : /* assume x > 0 */
    1262             : INLINE long
    1263   776187541 : expu(ulong x) { return (BITS_IN_LONG-1) - (long)bfffo(x); }
    1264             : 
    1265             : INLINE long
    1266  1986170188 : expi(GEN x)
    1267             : {
    1268  1986170188 :   const long lx=lgefint(x);
    1269  1986170188 :   return lx==2? -(long)HIGHEXPOBIT: bit_accuracy(lx)-(long)bfffo(*int_MSW(x))-1;
    1270             : }
    1271             : 
    1272             : INLINE GEN
    1273   170224874 : shiftr(GEN x, long n)
    1274             : {
    1275   170224874 :   const long e = evalexpo(expo(x)+n);
    1276   170220704 :   const GEN y = rcopy(x);
    1277             : 
    1278   170215073 :   if (e & ~EXPOBITS) pari_err_OVERFLOW("expo()");
    1279   170213712 :   y[1] = (y[1]&~EXPOBITS) | e; return y;
    1280             : }
    1281             : INLINE GEN
    1282   147640667 : mpshift(GEN x,long s) { return (typ(x)==t_INT)?shifti(x,s):shiftr(x,s); }
    1283             : 
    1284             : /* FIXME: adapt/use mpn_[lr]shift instead */
    1285             : /* z2[imin..imax] := z1[imin..imax].f shifted left sh bits
    1286             :  * (feeding f from the right). Assume sh > 0 */
    1287             : INLINE void
    1288  7129833481 : shift_left(GEN z2, GEN z1, long imin, long imax, ulong f,  ulong sh)
    1289             : {
    1290  7129833481 :   GEN sb = z1 + imin, se = z1 + imax, te = z2 + imax;
    1291  7129833481 :   ulong l, m = BITS_IN_LONG - sh, k = f >> m;
    1292 45619863035 :   while (se > sb) {
    1293 38490029554 :     l     = *se--;
    1294 38490029554 :     *te-- = (l << sh) | k;
    1295 38490029554 :     k     = l >> m;
    1296             :   }
    1297  7129833481 :   *te = (((ulong)*se) << sh) | k;
    1298  7129833481 : }
    1299             : /* z2[imin..imax] := f.z1[imin..imax-1] shifted right sh bits
    1300             :  * (feeding f from the left). Assume sh > 0 */
    1301             : INLINE void
    1302  5480865311 : shift_right(GEN z2, GEN z1, long imin, long imax, ulong f, ulong sh)
    1303             : {
    1304  5480865311 :   GEN sb = z1 + imin, se = z1 + imax, tb = z2 + imin;
    1305  5480865311 :   ulong k, l = *sb++, m = BITS_IN_LONG - sh;
    1306  5480865311 :   *tb++ = (l >> sh) | (f << m);
    1307 27225330170 :   while (sb < se) {
    1308 21744464859 :     k     = l << m;
    1309 21744464859 :     l     = *sb++;
    1310 21744464859 :     *tb++ = (l >> sh) | k;
    1311             :   }
    1312  5480865311 : }
    1313             : 
    1314             : /* Backward compatibility. Inefficient && unused */
    1315             : extern ulong hiremainder;
    1316             : INLINE ulong
    1317           0 : shiftl(ulong x, ulong y)
    1318           0 : { hiremainder = x>>(BITS_IN_LONG-y); return (x<<y); }
    1319             : 
    1320             : INLINE ulong
    1321           0 : shiftlr(ulong x, ulong y)
    1322           0 : { hiremainder = x<<(BITS_IN_LONG-y); return (x>>y); }
    1323             : 
    1324             : INLINE void
    1325   455038835 : shiftr_inplace(GEN z, long d)
    1326             : {
    1327   455038835 :   setexpo(z, expo(z)+d);
    1328   454876408 : }
    1329             : 
    1330             : /*******************************************************************/
    1331             : /*                                                                 */
    1332             : /*                           ASSIGNMENT                            */
    1333             : /*                                                                 */
    1334             : /*******************************************************************/
    1335             : INLINE void
    1336   588118811 : affii(GEN x, GEN y)
    1337             : {
    1338   588118811 :   long lx = lgefint(x);
    1339   588118811 :   if (lg(y)<lx) pari_err_OVERFLOW("t_INT-->t_INT assignment");
    1340 36646542428 :   while (--lx) y[lx] = x[lx];
    1341   588119061 : }
    1342             : INLINE void
    1343     5927007 : affsi(long s, GEN x)
    1344             : {
    1345     5927007 :   if (!s) x[1] = evalsigne(0) | evallgefint(2);
    1346             :   else
    1347             :   {
    1348     5659265 :     if (s > 0) { x[1] = evalsigne( 1) | evallgefint(3); x[2] =  s; }
    1349     1933892 :     else       { x[1] = evalsigne(-1) | evallgefint(3); x[2] = -s; }
    1350             :   }
    1351     5927007 : }
    1352             : INLINE void
    1353    44603025 : affui(ulong u, GEN x)
    1354             : {
    1355    44603025 :   if (!u) x[1] = evalsigne(0) | evallgefint(2);
    1356    44563839 :   else  { x[1] = evalsigne(1) | evallgefint(3); x[2] = u; }
    1357    44603025 : }
    1358             : 
    1359             : INLINE void
    1360   486204468 : affsr(long x, GEN y)
    1361             : {
    1362   486204468 :   long sh, i, ly = lg(y);
    1363             : 
    1364   486204468 :   if (!x)
    1365             :   {
    1366         896 :     y[1] = evalexpo(-bit_accuracy(ly));
    1367         896 :     return;
    1368             :   }
    1369   486203572 :   if (x < 0) {
    1370        8215 :     x = -x; sh = bfffo(x);
    1371        8215 :     y[1] = evalsigne(-1) | _evalexpo((BITS_IN_LONG-1)-sh);
    1372             :   }
    1373             :   else
    1374             :   {
    1375   486195357 :     sh = bfffo(x);
    1376   486195357 :     y[1] = evalsigne(1) | _evalexpo((BITS_IN_LONG-1)-sh);
    1377             :   }
    1378  4928013819 :   y[2] = ((ulong)x)<<sh; for (i=3; i<ly; i++) y[i]=0;
    1379             : }
    1380             : 
    1381             : INLINE void
    1382    13242764 : affur(ulong x, GEN y)
    1383             : {
    1384    13242764 :   long sh, i, ly = lg(y);
    1385             : 
    1386    13242764 :   if (!x)
    1387             :   {
    1388     1369414 :     y[1] = evalexpo(-bit_accuracy(ly));
    1389     1369414 :     return;
    1390             :   }
    1391    11873350 :   sh = bfffo(x);
    1392    11873350 :   y[1] = evalsigne(1) | _evalexpo((BITS_IN_LONG-1)-sh);
    1393    46109106 :   y[2] = x<<sh; for (i=3; i<ly; i++) y[i] = 0;
    1394             : }
    1395             : 
    1396             : INLINE void
    1397      266760 : affiz(GEN x, GEN y) { if (typ(y)==t_INT) affii(x,y); else affir(x,y); }
    1398             : INLINE void
    1399           0 : affsz(long x, GEN y) { if (typ(y)==t_INT) affsi(x,y); else affsr(x,y); }
    1400             : INLINE void
    1401      658462 : mpaff(GEN x, GEN y) { if (typ(x)==t_INT) affiz(x, y); else affrr(x,y); }
    1402             : 
    1403             : /*******************************************************************/
    1404             : /*                                                                 */
    1405             : /*                    OPERATION + ASSIGNMENT                       */
    1406             : /*                                                                 */
    1407             : /*******************************************************************/
    1408             : 
    1409           0 : INLINE void addiiz(GEN x, GEN y, GEN z)
    1410           0 : { pari_sp av = avma; affii(addii(x,y),z); set_avma(av); }
    1411           0 : INLINE void addirz(GEN x, GEN y, GEN z)
    1412           0 : { pari_sp av = avma; affrr(addir(x,y),z); set_avma(av); }
    1413           0 : INLINE void addriz(GEN x, GEN y, GEN z)
    1414           0 : { pari_sp av = avma; affrr(addri(x,y),z); set_avma(av); }
    1415     1307078 : INLINE void addrrz(GEN x, GEN y, GEN z)
    1416     1307078 : { pari_sp av = avma; affrr(addrr(x,y),z); set_avma(av); }
    1417           0 : INLINE void addsiz(long s, GEN y, GEN z)
    1418           0 : { pari_sp av = avma; affii(addsi(s,y),z); set_avma(av); }
    1419           0 : INLINE void addsrz(long s, GEN y, GEN z)
    1420           0 : { pari_sp av = avma; affrr(addsr(s,y),z); set_avma(av); }
    1421           0 : INLINE void addssz(long s, long y, GEN z)
    1422           0 : { pari_sp av = avma; affii(addss(s,y),z); set_avma(av); }
    1423             : 
    1424           0 : INLINE void diviiz(GEN x, GEN y, GEN z)
    1425           0 : { pari_sp av = avma; affii(divii(x,y),z); set_avma(av); }
    1426           0 : INLINE void divirz(GEN x, GEN y, GEN z)
    1427           0 : { pari_sp av = avma; mpaff(divir(x,y),z); set_avma(av); }
    1428           0 : INLINE void divisz(GEN x, long y, GEN z)
    1429           0 : { pari_sp av = avma; affii(divis(x,y),z); set_avma(av); }
    1430           0 : INLINE void divriz(GEN x, GEN y, GEN z)
    1431           0 : { pari_sp av = avma; affrr(divri(x,y),z); set_avma(av); }
    1432         504 : INLINE void divrrz(GEN x, GEN y, GEN z)
    1433         504 : { pari_sp av = avma; affrr(divrr(x,y),z); set_avma(av); }
    1434           0 : INLINE void divrsz(GEN y, long s, GEN z)
    1435           0 : { pari_sp av = avma; affrr(divrs(y,s),z); set_avma(av); }
    1436           0 : INLINE void divsiz(long x, GEN y, GEN z)
    1437           0 : { long junk; affsi(sdivsi_rem(x,y,&junk), z); }
    1438           0 : INLINE void divsrz(long s, GEN y, GEN z)
    1439           0 : { pari_sp av = avma; mpaff(divsr(s,y),z); set_avma(av); }
    1440           0 : INLINE void divssz(long x, long y, GEN z)
    1441           0 : { affsi(x/y, z); }
    1442             : 
    1443           0 : INLINE void modisz(GEN y, long s, GEN z)
    1444           0 : { affsi(smodis(y,s),z); }
    1445           0 : INLINE void modsiz(long s, GEN y, GEN z)
    1446           0 : { pari_sp av = avma; affii(modsi(s,y),z); set_avma(av); }
    1447           0 : INLINE void modssz(long s, long y, GEN z)
    1448           0 : { affsi(smodss(s,y),z); }
    1449             : 
    1450           0 : INLINE void mpaddz(GEN x, GEN y, GEN z)
    1451           0 : { pari_sp av = avma; mpaff(mpadd(x,y),z); set_avma(av); }
    1452           0 : INLINE void mpsubz(GEN x, GEN y, GEN z)
    1453           0 : { pari_sp av = avma; mpaff(mpsub(x,y),z); set_avma(av); }
    1454           0 : INLINE void mpmulz(GEN x, GEN y, GEN z)
    1455           0 : { pari_sp av = avma; mpaff(mpmul(x,y),z); set_avma(av); }
    1456             : 
    1457           0 : INLINE void muliiz(GEN x, GEN y, GEN z)
    1458           0 : { pari_sp av = avma; affii(mulii(x,y),z); set_avma(av); }
    1459           0 : INLINE void mulirz(GEN x, GEN y, GEN z)
    1460           0 : { pari_sp av = avma; mpaff(mulir(x,y),z); set_avma(av); }
    1461           0 : INLINE void mulriz(GEN x, GEN y, GEN z)
    1462           0 : { pari_sp av = avma; mpaff(mulri(x,y),z); set_avma(av); }
    1463      192514 : INLINE void mulrrz(GEN x, GEN y, GEN z)
    1464      192514 : { pari_sp av = avma; affrr(mulrr(x,y),z); set_avma(av); }
    1465           0 : INLINE void mulsiz(long s, GEN y, GEN z)
    1466           0 : { pari_sp av = avma; affii(mulsi(s,y),z); set_avma(av); }
    1467           0 : INLINE void mulsrz(long s, GEN y, GEN z)
    1468           0 : { pari_sp av = avma; mpaff(mulsr(s,y),z); set_avma(av); }
    1469           0 : INLINE void mulssz(long s, long y, GEN z)
    1470           0 : { pari_sp av = avma; affii(mulss(s,y),z); set_avma(av); }
    1471             : 
    1472           0 : INLINE void remiiz(GEN x, GEN y, GEN z)
    1473           0 : { pari_sp av = avma; affii(remii(x,y),z); set_avma(av); }
    1474           0 : INLINE void remisz(GEN y, long s, GEN z)
    1475           0 : { pari_sp av = avma; affii(remis(y,s),z); set_avma(av); }
    1476           0 : INLINE void remsiz(long s, GEN y, GEN z)
    1477           0 : { pari_sp av = avma; affii(remsi(s,y),z); set_avma(av); }
    1478           0 : INLINE void remssz(long s, long y, GEN z)
    1479           0 : { pari_sp av = avma; affii(remss(s,y),z); set_avma(av); }
    1480             : 
    1481          28 : INLINE void subiiz(GEN x, GEN y, GEN z)
    1482          28 : { pari_sp av = avma; affii(subii(x,y),z); set_avma(av); }
    1483           0 : INLINE void subirz(GEN x, GEN y, GEN z)
    1484           0 : { pari_sp av = avma; affrr(subir(x,y),z); set_avma(av); }
    1485           0 : INLINE void subisz(GEN y, long s, GEN z)
    1486           0 : { pari_sp av = avma; affii(addsi(-s,y),z); set_avma(av); }
    1487           0 : INLINE void subriz(GEN x, GEN y, GEN z)
    1488           0 : { pari_sp av = avma; affrr(subri(x,y),z); set_avma(av); }
    1489     1296706 : INLINE void subrrz(GEN x, GEN y, GEN z)
    1490     1296706 : { pari_sp av = avma; affrr(subrr(x,y),z); set_avma(av); }
    1491           0 : INLINE void subrsz(GEN y, long s, GEN z)
    1492           0 : { pari_sp av = avma; affrr(addsr(-s,y),z); set_avma(av); }
    1493           0 : INLINE void subsiz(long s, GEN y, GEN z)
    1494           0 : { pari_sp av = avma; affii(subsi(s,y),z); set_avma(av); }
    1495           0 : INLINE void subsrz(long s, GEN y, GEN z)
    1496           0 : { pari_sp av = avma; affrr(subsr(s,y),z); set_avma(av); }
    1497           0 : INLINE void subssz(long x, long y, GEN z) { addssz(x,-y,z); }
    1498             : 
    1499             : INLINE void
    1500           0 : dvmdssz(long x, long y, GEN z, GEN t) {
    1501           0 :   pari_sp av = avma;
    1502             :   long r;
    1503           0 :   affii(divss_rem(x,y, &r), z); set_avma(av); affsi(r,t);
    1504           0 : }
    1505             : INLINE void
    1506           0 : dvmdsiz(long x, GEN y, GEN z, GEN t) {
    1507           0 :   pari_sp av = avma;
    1508             :   long r;
    1509           0 :   affii(divsi_rem(x,y, &r), z); set_avma(av); affsi(r,t);
    1510           0 : }
    1511             : INLINE void
    1512           0 : dvmdisz(GEN x, long y, GEN z, GEN t) {
    1513           0 :   pari_sp av = avma;
    1514             :   long r;
    1515           0 :   affii(divis_rem(x,y, &r),z); set_avma(av); affsi(r,t);
    1516           0 : }
    1517             : INLINE void
    1518           0 : dvmdiiz(GEN x, GEN y, GEN z, GEN t) {
    1519           0 :   pari_sp av = avma;
    1520             :   GEN r;
    1521           0 :   affii(dvmdii(x,y,&r),z); affii(r,t); set_avma(av);
    1522           0 : }

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