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 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 - add.c (source / functions) Hit Total Coverage
Test: PARI/GP v2.10.0 lcov report (development 20422-b487f4d) Lines: 187 187 100.0 %
Date: 2017-03-22 05:51:54 Functions: 10 10 100.0 %
Legend: Lines: hit not hit

          Line data    Source code
       1             : #line 2 "../src/kernel/none/add.c"
       2             : /* Copyright (C) 2002-2003  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. It is distributed in the hope that it will be useful, but WITHOUT
       9             : ANY WARRANTY WHATSOEVER.
      10             : 
      11             : Check the License for details. You should have received a copy of it, along
      12             : with the package; see the file 'COPYING'. If not, write to the Free Software
      13             : Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA. */
      14             : 
      15             : INLINE GEN
      16  1431501843 : icopy_sign(GEN x, long sx)
      17             : {
      18  1431501843 :   GEN y=icopy(x);
      19  1432345043 :   setsigne(y,sx);
      20  1432345043 :   return y;
      21             : }
      22             : 
      23             : GEN
      24    53887069 : addsi_sign(long x, GEN y, long sy)
      25             : {
      26             :   long sx,ly;
      27             :   GEN z;
      28             : 
      29    53887069 :   if (!x) return icopy_sign(y, sy);
      30    53009215 :   if (!sy) return stoi(x);
      31    50450589 :   if (x<0) { sx=-1; x=-x; } else sx=1;
      32    50450589 :   if (sx==sy)
      33             :   {
      34    28450269 :     z = adduispec(x,y+2, lgefint(y)-2);
      35    28450274 :     setsigne(z,sy); return z;
      36             :   }
      37    22000320 :   ly=lgefint(y);
      38    22000320 :   if (ly==3)
      39             :   {
      40     2479222 :     const long d = (long)(uel(y,2) - (ulong)x);
      41     2479222 :     if (!d) return gen_0;
      42     2327622 :     z=cgeti(3);
      43     2327622 :     if (y[2] < 0 || d > 0) {
      44     1867571 :       z[1] = evalsigne(sy) | evallgefint(3);
      45     1867571 :       z[2] = d;
      46             :     }
      47             :     else {
      48      460051 :       z[1] = evalsigne(-sy) | evallgefint(3);
      49      460051 :       z[2] =-d;
      50             :     }
      51     2327622 :     return z;
      52             :   }
      53    19521098 :   z = subiuspec(y+2,x, ly-2);
      54    19519957 :   setsigne(z,sy); return z;
      55             : }
      56             : GEN
      57    54607948 : addui_sign(ulong x, GEN y, long sy)
      58             : {
      59             :   long ly;
      60             :   GEN z;
      61             : 
      62    54607948 :   if (!x) return icopy_sign(y, sy);
      63    51034647 :   if (!sy) return utoipos(x);
      64    49636304 :   if (sy == 1) return adduispec(x,y+2, lgefint(y)-2);
      65     8993286 :   ly=lgefint(y);
      66     8993286 :   if (ly==3)
      67             :   {
      68     3544038 :     const ulong t = y[2];
      69     3544038 :     if (x == t) return gen_0;
      70     3277968 :     z=cgeti(3);
      71     3277967 :     if (x < t) {
      72     3277253 :       z[1] = evalsigne(-1) | evallgefint(3);
      73     3277253 :       z[2] = t - x;
      74             :     }
      75             :     else {
      76         714 :       z[1] = evalsigne(1) | evallgefint(3);
      77         714 :       z[2] = x - t;
      78             :     }
      79     3277967 :     return z;
      80             :   }
      81     5449248 :   z = subiuspec(y+2,x, ly-2);
      82     5449268 :   setsigne(z,-1); return z;
      83             : }
      84             : 
      85             : /* return gen_0 when the sign is 0 */
      86             : GEN
      87  7199292741 : addii_sign(GEN x, long sx, GEN y, long sy)
      88             : {
      89             :   long lx,ly;
      90             :   GEN z;
      91             : 
      92  7199292741 :   if (!sx) return sy? icopy_sign(y, sy): gen_0;
      93  6090831469 :   if (!sy) return icopy_sign(x, sx);
      94  4983036733 :   lx = lgefint(x);
      95  4983036733 :   ly = lgefint(y);
      96  4983036733 :   if (sx==sy)
      97  2749774538 :     z = addiispec(x+2,y+2,lx-2,ly-2);
      98             :   else
      99             :   { /* sx != sy */
     100  2233262195 :     long i = cmpiispec(x+2,y+2,lx-2,ly-2);
     101  2233958002 :     if (!i) return gen_0;
     102             :     /* we must ensure |x| > |y| for subiispec */
     103  2131772425 :     if (i < 0) {
     104   840664487 :       sx = sy;
     105   840664487 :       z = subiispec(y+2,x+2,ly-2,lx-2);
     106             :     }
     107             :     else
     108  1291107938 :       z = subiispec(x+2,y+2,lx-2,ly-2);
     109             :   }
     110  4877894452 :   setsigne(z,sx); return z;
     111             : }
     112             : 
     113             : INLINE GEN
     114    87094271 : rcopy_sign(GEN x, long sx) { GEN y = rcopy(x); setsigne(y,sx); return y; }
     115             : 
     116             : GEN
     117   173805420 : addir_sign(GEN x, long sx, GEN y, long sy)
     118             : {
     119             :   long e, l, ly;
     120             :   GEN z;
     121             : 
     122   173805420 :   if (!sx) return rcopy_sign(y, sy);
     123   101641774 :   e = expo(y) - expi(x);
     124   101641774 :   if (!sy)
     125             :   {
     126     5035173 :     if (e >= 0) return rcopy_sign(y, sy);
     127     5035085 :     z = itor(x, nbits2prec(-e));
     128     5035085 :     setsigne(z, sx); return z;
     129             :   }
     130             : 
     131    96606601 :   ly = lg(y);
     132    96606601 :   if (e > 0)
     133             :   {
     134    11840346 :     l = ly - divsBIL(e);
     135    11840346 :     if (l < 3) return rcopy_sign(y, sy);
     136             :   }
     137    84766255 :   else l = ly + nbits2extraprec(-e);
     138    96427358 :   z = (GEN)avma;
     139    96427358 :   y = addrr_sign(itor(x,l), sx, y, sy);
     140    96427358 :   ly = lg(y); while (ly--) *--z = y[ly];
     141    96427358 :   avma = (pari_sp)z; return z;
     142             : }
     143             : 
     144             : static GEN
     145   139655750 : addsr_sign(long x, GEN y, long sy)
     146             : {
     147             :   long e, l, ly, sx;
     148             :   GEN z;
     149             : 
     150   139655750 :   if (!x) return rcopy_sign(y, sy);
     151   139655463 :   if (x < 0) { sx = -1; x = -x; } else sx = 1;
     152   139655463 :   e = expo(y) - expu(x);
     153   139655463 :   if (!sy)
     154             :   {
     155      388080 :     if (e >= 0) return rcopy_sign(y, sy);
     156      388080 :     if (sx == -1) x = -x;
     157      388080 :     return stor(x, nbits2prec(-e));
     158             :   }
     159             : 
     160   139267383 :   ly = lg(y);
     161   139267383 :   if (e > 0)
     162             :   {
     163      727667 :     l = ly - divsBIL(e);
     164      727667 :     if (l < 3) return rcopy_sign(y, sy);
     165             :   }
     166   138539716 :   else l = ly + nbits2extraprec(-e);
     167   139221038 :   z = (GEN)avma;
     168   139221038 :   y = addrr_sign(stor(x,l), sx, y, sy);
     169   139221038 :   ly = lg(y); while (ly--) *--z = y[ly];
     170   139221038 :   avma = (pari_sp)z; return z;
     171             : }
     172             : 
     173             : GEN
     174   137411656 : addsr(long x, GEN y) { return addsr_sign(x, y, signe(y)); }
     175             : 
     176             : GEN
     177     2244094 : subsr(long x, GEN y) { return addsr_sign(x, y, -signe(y)); }
     178             : 
     179             : GEN
     180  1852831803 : addrr_sign(GEN x, long sx, GEN y, long sy)
     181             : {
     182  1852831803 :   long lx, ex = expo(x);
     183  1852831803 :   long ly, ey = expo(y), e = ey - ex;
     184             :   long i, j, lz, ez, m;
     185             :   int extend, f2;
     186             :   GEN z;
     187             :   LOCAL_OVERFLOW;
     188             : 
     189  1852831803 :   if (!sy)
     190             :   {
     191    28859146 :     if (!sx)
     192             :     {
     193     8122147 :       if (e > 0) ex = ey;
     194     8122147 :       return real_0_bit(ex);
     195             :     }
     196    20736999 :     if (e >= 0) return real_0_bit(ey);
     197    20631433 :     lz = nbits2prec(-e);
     198    20631433 :     lx = lg(x); if (lz > lx) lz = lx;
     199    20631433 :     z = cgetr(lz); while(--lz) z[lz] = x[lz];
     200    20631433 :     setsigne(z,sx); return z;
     201             :   }
     202  1823972657 :   if (!sx)
     203             :   {
     204     6791504 :     if (e <= 0) return real_0_bit(ex);
     205     6485510 :     lz = nbits2prec(e);
     206     6485510 :     ly = lg(y); if (lz > ly) lz = ly;
     207     6485510 :     z = cgetr(lz); while (--lz) z[lz] = y[lz];
     208     6485510 :     setsigne(z,sy); return z;
     209             :   }
     210             : 
     211  1817181153 :   if (e < 0) { swap(x,y); lswap(sx,sy); ey=ex; e=-e; }
     212             :   /* now ey >= ex */
     213  1817181153 :   lx = lg(x);
     214  1817181153 :   ly = lg(y);
     215             :   /* If exponents differ, need to shift one argument, here x. If
     216             :    * extend = 1: extension of x,z by m < BIL bits (round to 1 word) */
     217             :   /* in this case, lz = lx + d + 1, otherwise lx + d */
     218  1817181153 :   extend = 0;
     219  1817181153 :   if (e)
     220             :   {
     221  1607222080 :     long d = dvmdsBIL(e, &m), l = ly-d;
     222  1607222080 :     if (l <= 2) return rcopy_sign(y, sy);
     223  1592517418 :     if (l > lx) { lz = lx + d + 1; extend = 1; }
     224  1237587155 :     else        { lz = ly; lx = l; }
     225  1592517418 :     if (m)
     226             :     { /* shift x right m bits */
     227  1591208657 :       const pari_sp av = avma;
     228  1591208657 :       const ulong sh = BITS_IN_LONG-m;
     229  1591208657 :       GEN p1 = x; x = new_chunk(lx + lz + 1);
     230  1591208657 :       shift_right(x,p1,2,lx, 0,m);
     231  1591208657 :       if (extend) uel(x,lx) = uel(p1,lx-1) << sh;
     232  1591208657 :       avma = av; /* HACK: cgetr(lz) will not overwrite x */
     233             :     }
     234             :   }
     235             :   else
     236             :   { /* d = 0 */
     237   209959073 :     m = 0;
     238   209959073 :     if (lx > ly) lx = ly;
     239   209959073 :     lz = lx;
     240             :   }
     241             : 
     242  1802476491 :   if (sx == sy)
     243             :   { /* addition */
     244   847163138 :     i = lz-1;
     245   847163138 :     j = lx-1;
     246   847163138 :     if (extend) {
     247   213391637 :       ulong garde = addll(x[lx], y[i]);
     248   213391637 :       if (m < 4) /* don't extend for few correct bits */
     249    32996234 :         z = cgetr(--lz);
     250             :       else
     251             :       {
     252   180395403 :         z = cgetr(lz);
     253   180395403 :         z[i] = garde;
     254             :       }
     255             :     }
     256             :     else
     257             :     {
     258   633771501 :       z = cgetr(lz);
     259   633771501 :       z[i] = addll(x[j], y[i]); j--;
     260             :     }
     261   847163138 :     i--;
     262   847163138 :     for (; j>=2; i--,j--) z[i] = addllx(x[j],y[i]);
     263   847163138 :     if (overflow)
     264             :     {
     265   201812023 :       z[1] = 1; /* stops since z[1] != 0 */
     266   202196565 :       for (;;) { z[i] = uel(y,i)+1; if (z[i--]) break; }
     267   201812023 :       if (i <= 0)
     268             :       {
     269   200914322 :         shift_right(z,z, 2,lz, 1,1);
     270   200914322 :         z[1] = evalsigne(sx) | evalexpo(ey+1); return z;
     271             :       }
     272             :     }
     273   646248816 :     for (; i>=2; i--) z[i] = y[i];
     274   646248816 :     z[1] = evalsigne(sx) | evalexpo(ey); return z;
     275             :   }
     276             : 
     277             :   /* subtraction */
     278   955313353 :   if (e) f2 = 1;
     279             :   else
     280             :   {
     281   128718820 :     i = 2; while (i < lx && x[i] == y[i]) i++;
     282   128718820 :     if (i==lx) return real_0_bit(ey+1 - prec2nbits(lx));
     283   125076654 :     f2 = (uel(y,i) > uel(x,i));
     284             :   }
     285             :   /* result is non-zero. f2 = (y > x) */
     286   951671187 :   i = lz-1; z = cgetr(lz);
     287   951671187 :   if (f2)
     288             :   {
     289   898266682 :     j = lx-1;
     290   898266682 :     if (extend) z[i] = subll(y[i], x[lx]);
     291   756728056 :     else        z[i] = subll(y[i], x[j--]);
     292   898266682 :     for (i--; j>=2; i--) z[i] = subllx(y[i], x[j--]);
     293   898266682 :     if (overflow) /* stops since y[1] != 0 */
     294     7554978 :       for (;;) { z[i] = uel(y,i)-1; if (y[i--]) break; }
     295   898266682 :     for (; i>=2; i--) z[i] = y[i];
     296   898266682 :     sx = sy;
     297             :   }
     298             :   else
     299             :   {
     300    53404505 :     if (extend) z[i] = subll(x[lx], y[i]);
     301    53404505 :     else        z[i] = subll(x[i],  y[i]);
     302    53404505 :     for (i--; i>=2; i--) z[i] = subllx(x[i], y[i]);
     303             :   }
     304             : 
     305   951671187 :   x = z+2; i = 0; while (!x[i]) i++;
     306   951671187 :   lz -= i; z += i;
     307   951671187 :   j = bfffo(z[2]); /* need to shift left by j bits to normalize mantissa */
     308   951671187 :   ez = ey - (j | (i * BITS_IN_LONG));
     309   951671187 :   if (extend)
     310             :   { /* z was extended by d+1 words [should be e bits = d words + m bits] */
     311             :     /* not worth keeping extra word if less than 5 significant bits in there */
     312   141538626 :     if (m - j < 5 && lz > 3)
     313    45314896 :     { /* shorten z */
     314    45314896 :       ulong last = (ulong)z[--lz]; /* cancelled word */
     315             : 
     316             :       /* if we need to shift anyway, shorten from left
     317             :        * If not, shorten from right, neutralizing last word of z */
     318    45314896 :       if (j == 0)
     319             :         /* stackdummy((pari_sp)(z + lz+1), (pari_sp)(z + lz)); */
     320    22910387 :         z[lz] = evaltyp(t_VECSMALL) | _evallg(1);
     321             :       else
     322             :       {
     323    22404509 :         GEN t = z;
     324    22404509 :         z++; shift_left(z,t,2,lz-1, last,j);
     325             :       }
     326    45314896 :       if ((last<<j) & HIGHBIT)
     327             :       { /* round up */
     328    19661495 :         i = lz-1;
     329    19661495 :         while (++((ulong*)z)[i] == 0 && i > 1) i--;
     330    19661495 :         if (i == 1) { ez++; z[2] = (long)HIGHBIT; }
     331             :       }
     332             :     }
     333    96223730 :     else if (j) shift_left(z,z,2,lz-1, 0,j);
     334             :   }
     335   810132561 :   else if (j) shift_left(z,z,2,lz-1, 0,j);
     336   951671187 :   z[1] = evalsigne(sx) | evalexpo(ez);
     337   951671187 :   z[0] = evaltyp(t_REAL) | evallg(lz);
     338   951671187 :   avma = (pari_sp)z; return z;
     339             : }

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