This file is indexed.

/usr/share/doc/perl-doc-html/bigint.html is in perl-doc-html 5.22.0-1.

This file is owned by root:root, with mode 0o644.

The actual contents of the file can be viewed below.

  1
  2
  3
  4
  5
  6
  7
  8
  9
 10
 11
 12
 13
 14
 15
 16
 17
 18
 19
 20
 21
 22
 23
 24
 25
 26
 27
 28
 29
 30
 31
 32
 33
 34
 35
 36
 37
 38
 39
 40
 41
 42
 43
 44
 45
 46
 47
 48
 49
 50
 51
 52
 53
 54
 55
 56
 57
 58
 59
 60
 61
 62
 63
 64
 65
 66
 67
 68
 69
 70
 71
 72
 73
 74
 75
 76
 77
 78
 79
 80
 81
 82
 83
 84
 85
 86
 87
 88
 89
 90
 91
 92
 93
 94
 95
 96
 97
 98
 99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
"http://www.w3.org/TR/html4/loose.dtd">
<html>
<head>
  <title>bigint - perldoc.perl.org</title>
  <meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1">
  <meta http-equiv="Content-Language" content="en-gb">
  <link rel="search" type="application/opensearchdescription+xml" title="Search perldoc.perl.org" href="/static/search.xml"/>
  <link href="static/css-20100830.css" rel="stylesheet" rev="stylesheet" type="text/css" media="screen">
  <link href="static/exploreperl.css" rel="stylesheet" rev="stylesheet" type="text/css">
</head>

<body onLoad="perldoc.startup();" onPageShow="if (event.persisted) perldoc.startup();">
    <div id="page">
      
      <div id="header">
	<div id="homepage_link">
	  <a href="index.html"></a>
	</div>
	<div id="strapline">
	  Perl Programming Documentation
	</div>
	<div id="download_link" class="download">
	  <a href="http://www.perl.org/get.html">Download Perl</a>
	</div>
	<div id="explore_link" class="download">
	  <a id="explore_anchor" href="#">Explore</a>
	</div>
      </div>
      
      <div id="body">
        <div id="left_column">
          <div class="side_group">
            
	    <div class="side_panel doc_panel">
              <p>Manual</p>
              <ul>
                <li><a href="index-overview.html">Overview</a>
                <li><a href="index-tutorials.html">Tutorials</a>
                <li><a href="index-faq.html">FAQs</a>
                <li><a href="index-history.html">History / Changes</a>
                <li><a href="index-licence.html">License</a>
              </ul>
            </div>
            <div class="side_panel doc_panel">
              <p>Reference</p>
              <ul>
                <li><a href="index-language.html">Language</a>
                <li><a href="index-functions.html">Functions</a>
                <li><a href="perlop.html">Operators</a>
                <li><a href="perlvar.html">Special Variables</a>
                <li><a href="index-pragmas.html">Pragmas</a>
                <li><a href="index-utilities.html">Utilities</a>
                <li><a href="index-internals.html">Internals</a>
                <li><a href="index-platforms.html">Platform Specific</a>
              </ul>
            </div>
            <div class="side_panel doc_panel">
              <p>Modules</p>
              <ul>
		<li>
		
                
                  
		    
		  
		
                  
		    
		  
		
                  
		    
		  
		
                  
		    
		  
		
                  
		    
		  
		
                  
		    
		  
		
                  
		    
		  
		
                  
		    
		  
		
                  
		    
		  
		
                  
		
                  
		
                  
		    
		  
		
                  
		    
		  
		
                  
		    
		  
		
                  
		    
		  
		
                  
		    
		  
		
                  
		
                  
		
                  
		    
		  
		
                  
		    
		  
		
                  
		    
		  
		
                  
		
                  
		
                  
		    
		  
		
                  
		
                  
		
		
                    <a href="index-modules-A.html">A</a>
                    
                      
                        &bull;
                      
                    
                
                    <a href="index-modules-B.html">B</a>
                    
                      
                        &bull;
                      
                    
                
                    <a href="index-modules-C.html">C</a>
                    
                      
                        &bull;
                      
                    
                
                    <a href="index-modules-D.html">D</a>
                    
                      
                        &bull;
                      
                    
                
                    <a href="index-modules-E.html">E</a>
                    
                      
                        <li>
                      
                    
                
                    <a href="index-modules-F.html">F</a>
                    
                      
                        &bull;
                      
                    
                
                    <a href="index-modules-G.html">G</a>
                    
                      
                        &bull;
                      
                    
                
                    <a href="index-modules-H.html">H</a>
                    
                      
                        &bull;
                      
                    
                
                    <a href="index-modules-I.html">I</a>
                    
                      
                        &bull;
                      
                    
                
                    <a href="index-modules-L.html">L</a>
                    
                      
                        <li>
                      
                    
                
                    <a href="index-modules-M.html">M</a>
                    
                      
                        &bull;
                      
                    
                
                    <a href="index-modules-N.html">N</a>
                    
                      
                        &bull;
                      
                    
                
                    <a href="index-modules-O.html">O</a>
                    
                      
                        &bull;
                      
                    
                
                    <a href="index-modules-P.html">P</a>
                    
                      
                        &bull;
                      
                    
                
                    <a href="index-modules-S.html">S</a>
                    
                      
                        <li>
                      
                    
                
                    <a href="index-modules-T.html">T</a>
                    
                      
                        &bull;
                      
                    
                
                    <a href="index-modules-U.html">U</a>
                    
                      
                        &bull;
                      
                    
                
                    <a href="index-modules-X.html">X</a>
                    
                
              </ul>
            </div>
            
	      <div class="side_panel doc_panel">
		<p>Tools</p>
		<ul>
		  <li><a href="preferences.html">Preferences</a>
		</ul>
	      </div>
            
          </div>
        </div>
        <div id="centre_column">
          <div id="content_header">
            <div id="title_bar">
              <div id="page_name">
                <h1>bigint</h1>
              </div>
              <div id="perl_version">
                Perl 5 version 22.0 documentation
              </div>
              <div class="page_links" id="page_links_top">
                <a href="#" onClick="toolbar.goToTop();return false;">Go to top</a>
		
              </div>
	      <div class="page_links" id="page_links_bottom">
		
                  <a href="#" id="page_index_toggle">Show page index</a> &bull;
		
                <a href="#" id="recent_pages_toggle">Show recent pages</a>		
	      </div>
	      <div id="search_form">
		<form action="search.html" method="GET" id="search">
		  <input type="text" name="q" id="search_box" alt="Search">
		</form>
	      </div>
            </div>
            <div id="breadcrumbs">
                
    <a href="index.html">Home</a> &gt;
    
      
        <a href="index-pragmas.html">Pragmas</a> &gt;
      
    
    bigint
  

            </div>
          </div>
          <div id="content_body">
	    <!--[if lt IE 7]>
 <div class="noscript">
   <p>
     <strong>It looks like you're using Internet Explorer 6. This is a very old
     browser which does not offer full support for modern websites.</strong>
   </p>
   <p>
     Unfortunately this means that this website will not work on
     your computer.
   </p>
   <p>
     Don't miss out though! To view the site (and get a better experience from
     many other websites), simply upgrade to
     <a href="http://www.microsoft.com/windows/Internet-explorer/default.aspx">Internet
Explorer 8</a>
     or download an alternative browser such as
     <a href="http://www.mozilla.com/en-US/firefox/firefox.html">Firefox</a>,
     <a href="http://www.apple.com/safari/download/">Safari</a>, or
     <a href="http://www.google.co.uk/chrome">Google Chrome</a>.
   </p>
   <p>
     All of these browsers are free. If you're using a PC at work, you may
     need to contact your IT administrator.
   </p>
 </div>
<![endif]-->
	    <noscript>
	      <div class="noscript">
	      <p>
                <strong>Please note: Many features of this site require JavaScript. You appear to have JavaScript disabled,
	        or are running a non-JavaScript capable web browser.</strong>
	      </p>
	      <p>
		To get the best experience, please enable JavaScript or download a modern web browser such as <a href="http://www.microsoft.com/windows/Internet-explorer/default.aspx">Internet Explorer 8</a>, <a href="http://www.mozilla.com/en-US/firefox/firefox.html">Firefox</a>, <a href="http://www.apple.com/safari/download/">Safari</a>, or <a href="http://www.google.co.uk/chrome">Google Chrome</a>.
              </p>
	      </div>
	    </noscript>

	    <div id="recent_pages" class="hud_container">
	      <div id="recent_pages_header" class="hud_header">
		<div id="recent_pages_close" class="hud_close"><a href="#" onClick="recentPages.hide();return false;"></a></div>
		<div id="recent_pages_title" class="hud_title"><span class="hud_span_top">Recently read</span></div>
		<div id="recent_pages_topright" class="hud_topright"></div>
	      </div>
	      <div id="recent_pages_content" class="hud_content">
	      </div>
	      <div id="recent_pages_footer" class="hud_footer">
		<div id="recent_pages_bottomleft" class="hud_bottomleft"></div>
		<div id="recent_pages_bottom" class="hud_bottom"><span class="hud_span_bottom"></span></div>
		<div id="recent_pages_resize" class="hud_resize"></div>
	      </div>
	    </div>
  
	    <div id="from_search"></div>
            <h1>bigint</h1>


  <!--    -->
<ul><li><a href="#NAME">NAME</a><li><a href="#SYNOPSIS">SYNOPSIS</a><li><a href="#DESCRIPTION">DESCRIPTION</a><ul><li><a href="#use-integer-vs.-use-bigint">use integer vs. use bigint</a><li><a href="#Options">Options</a><li><a href="#Math-Library">Math Library</a><li><a href="#Internal-Format">Internal Format</a><li><a href="#Sign">Sign</a><li><a href="#Method-calls">Method calls</a><li><a href="#Methods">Methods</a></ul><li><a href="#CAVEATS">CAVEATS</a><li><a href="#MODULES-USED">MODULES USED</a><li><a href="#EXAMPLES">EXAMPLES</a><li><a href="#LICENSE">LICENSE</a><li><a href="#SEE-ALSO">SEE ALSO</a><li><a href="#AUTHORS">AUTHORS</a></ul><a name="NAME"></a><h1>NAME</h1>
<p>bigint - Transparent BigInteger support for Perl</p>
<a name="SYNOPSIS"></a><h1>SYNOPSIS</h1>
<pre class="verbatim"><ol><li>  <a class="l_k" href="functions/use.html">use</a> <span class="w">bigint</span><span class="sc">;</span></li><li></li><li>  <span class="i">$x</span> = <span class="n">2</span> + <span class="n">4.5</span><span class="cm">,</span><span class="q">&quot;\n&quot;</span><span class="sc">;</span>			<span class="c"># BigInt 6</span></li><li>  <a class="l_k" href="functions/print.html">print</a> <span class="n">2</span> ** <span class="n">512</span><span class="cm">,</span><span class="q">&quot;\n&quot;</span><span class="sc">;</span>			<span class="c"># really is what you think it is</span></li><li>  <a class="l_k" href="functions/print.html">print</a> <span class="i">inf</span> + <span class="n">42</span><span class="cm">,</span><span class="q">&quot;\n&quot;</span><span class="sc">;</span>			<span class="c"># inf</span></li><li>  <a class="l_k" href="functions/print.html">print</a> <span class="i">NaN</span> <span class="i">* 7</span><span class="cm">,</span><span class="q">&quot;\n&quot;</span><span class="sc">;</span>			<span class="c"># NaN</span></li><li>  <a class="l_k" href="functions/print.html">print</a> <a class="l_k" href="functions/hex.html">hex</a><span class="s">(</span><span class="q">&quot;0x1234567890123490&quot;</span><span class="s">)</span><span class="cm">,</span><span class="q">&quot;\n&quot;</span><span class="sc">;</span>	<span class="c"># Perl v5.10.0 or later</span></li><li></li><li>  <span class="s">{</span></li><li>    <a class="l_k" href="functions/no.html">no</a> <span class="w">bigint</span><span class="sc">;</span></li><li>    <a class="l_k" href="functions/print.html">print</a> <span class="n">2</span> ** <span class="n">256</span><span class="cm">,</span><span class="q">&quot;\n&quot;</span><span class="sc">;</span>		<span class="c"># a normal Perl scalar now</span></li><li>  <span class="s">}</span></li><li></li><li>  <span class="c"># Import into current package:</span></li><li>  <a class="l_k" href="functions/use.html">use</a> <span class="w">bigint</span> <span class="q">qw/hex oct/</span><span class="sc">;</span></li><li>  <a class="l_k" href="functions/print.html">print</a> <a class="l_k" href="functions/hex.html">hex</a><span class="s">(</span><span class="q">&quot;0x1234567890123490&quot;</span><span class="s">)</span><span class="cm">,</span><span class="q">&quot;\n&quot;</span><span class="sc">;</span></li><li>  <a class="l_k" href="functions/print.html">print</a> <a class="l_k" href="functions/oct.html">oct</a><span class="s">(</span><span class="q">&quot;01234567890123490&quot;</span><span class="s">)</span><span class="cm">,</span><span class="q">&quot;\n&quot;</span><span class="sc">;</span></li></ol></pre><a name="DESCRIPTION"></a><h1>DESCRIPTION</h1>
<p>All operators (including basic math operations) except the range operator <code class="inline">..</code>

are overloaded. Integer constants are created as proper BigInts.</p>
<p>Floating point constants are truncated to integer. All parts and results of
expressions are also truncated.</p>
<p>Unlike <a href="integer.html">integer</a>, this pragma creates integer constants that are only
limited in their size by the available memory and CPU time.</p>
<a name="use-integer-vs.-use-bigint"></a><h2>use integer vs. use bigint</h2>
<p>There is one small difference between <code class="inline"><a class="l_k" href="functions/use.html">use</a> <span class="w">integer</span></code>
 and <code class="inline"><a class="l_k" href="functions/use.html">use</a> <span class="w">bigint</span></code>
: the
former will not affect assignments to variables and the return value of
some functions. <code class="inline"><span class="w">bigint</span></code>
 truncates these results to integer too:</p>
<pre class="verbatim"><ol><li>	# perl -Minteger -wle 'print 3.2'</li><li>	3.2</li><li>	# perl -Minteger -wle 'print 3.2 + 0'</li><li>	3</li><li>	# perl -Mbigint -wle 'print 3.2'</li><li>	3</li><li>	# perl -Mbigint -wle 'print 3.2 + 0'</li><li>	3</li><li></li><li>	# perl -Mbigint -wle 'print exp(1) + 0'</li><li>	2</li><li>	# perl -Mbigint -wle 'print exp(1)'</li><li>	2</li><li>	# perl -Minteger -wle 'print exp(1)'</li><li>	2.71828182845905</li><li>	# perl -Minteger -wle 'print exp(1) + 0'</li><li>	2</li></ol></pre><p>In practice this makes seldom a difference as <b>parts and results</b> of
expressions will be truncated anyway, but this can, for instance, affect the
return value of subroutines:</p>
<pre class="verbatim"><ol><li><a name="three_integer"></a>    sub <span class="m">three_integer</span> <span class="s">{</span> <a class="l_k" href="functions/use.html">use</a> <span class="w">integer</span><span class="sc">;</span> <a class="l_k" href="functions/return.html">return</a> <span class="n">3.2</span><span class="sc">;</span> <span class="s">}</span> </li><li><a name="three_bigint"></a>    sub <span class="m">three_bigint</span> <span class="s">{</span> <a class="l_k" href="functions/use.html">use</a> <span class="w">bigint</span><span class="sc">;</span> <a class="l_k" href="functions/return.html">return</a> <span class="n">3.2</span><span class="sc">;</span> <span class="s">}</span></li><li></li><li>    <a class="l_k" href="functions/print.html">print</a> <span class="i">three_integer</span><span class="s">(</span><span class="s">)</span><span class="cm">,</span> <span class="q">&quot; &quot;</span><span class="cm">,</span> <span class="i">three_bigint</span><span class="s">(</span><span class="s">)</span><span class="cm">,</span><span class="q">&quot;\n&quot;</span><span class="sc">;</span>	<span class="c"># prints &quot;3.2 3&quot;</span></li></ol></pre><a name="Options"></a><h2>Options</h2>
<p>bigint recognizes some options that can be passed while loading it via use.
The options can (currently) be either a single letter form, or the long form.
The following options exist:</p>
<ul>
<li><a name="a-or-accuracy"></a><b>a or accuracy</b>
<p>This sets the accuracy for all math operations. The argument must be greater
than or equal to zero. See Math::BigInt's bround() function for details.</p>
<pre class="verbatim"><ol><li>	<span class="w">perl</span> -<span class="w">Mbigint</span>=<span class="w">a</span><span class="cm">,</span><span class="n">2</span> -le <span class="q">&#39;print 12345+1&#39;</span></li></ol></pre><p>Note that setting precision and accuracy at the same time is not possible.</p>
</li>
<li><a name="p-or-precision"></a><b>p or precision</b>
<p>This sets the precision for all math operations. The argument can be any
integer. Negative values mean a fixed number of digits after the dot, and
are &lt;B&gt;ignored&lt;/B&gt; since all operations happen in integer space.
A positive value rounds to this digit left from the dot. 0 or 1 mean round to
integer and are ignore like negative values.</p>
<p>See Math::BigInt's bfround() function for details.</p>
<pre class="verbatim"><ol><li>	<span class="w">perl</span> -<span class="w">Mbignum</span>=<span class="w">p</span><span class="cm">,</span><span class="n">5</span> -le <span class="q">&#39;print 123456789+123&#39;</span></li></ol></pre><p>Note that setting precision and accuracy at the same time is not possible.</p>
</li>
<li><a name="t-or-trace"></a><b>t or trace</b>
<p>This enables a trace mode and is primarily for debugging bigint or
Math::BigInt.</p>
</li>
<li><a name="hex"></a><b>hex</b>
<p>Override the built-in hex() method with a version that can handle big
integers. This overrides it by exporting it to the current package. Under
Perl v5.10.0 and higher, this is not so necessary, as hex() is lexically
overridden in the current scope whenever the bigint pragma is active.</p>
</li>
<li><a name="oct"></a><b>oct</b>
<p>Override the built-in oct() method with a version that can handle big
integers. This overrides it by exporting it to the current package. Under
Perl v5.10.0 and higher, this is not so necessary, as oct() is lexically
overridden in the current scope whenever the bigint pragma is active.</p>
</li>
<li><a name="l%2c-lib%2c-try-or-only"></a><b>l, lib, try or only</b>
<p>Load a different math lib, see <a href="#Math-Library">Math Library</a>.</p>
<pre class="verbatim"><ol><li>	perl -Mbigint=lib,GMP -e 'print 2 ** 512'</li><li>	perl -Mbigint=try,GMP -e 'print 2 ** 512'</li><li>	perl -Mbigint=only,GMP -e 'print 2 ** 512'</li></ol></pre><p>Currently there is no way to specify more than one library on the command
line. This means the following does not work:</p>
<pre class="verbatim"><ol><li>	<span class="w">perl</span> -<span class="w">Mbignum</span>=<span class="w">l</span><span class="cm">,</span><span class="w">GMP</span><span class="cm">,</span><span class="w">Pari</span> -e <span class="q">'print 2 ** 512'</span></li></ol></pre><p>This will be hopefully fixed soon ;)</p>
</li>
<li><a name="v-or-version"></a><b>v or version</b>
<p>This prints out the name and version of all modules used and then exits.</p>
<pre class="verbatim"><ol><li>	<span class="w">perl</span> -<span class="w">Mbigint</span>=<span class="w">v</span></li></ol></pre></li>
</ul>
<a name="Math-Library"></a><h2>Math Library</h2>
<p>Math with the numbers is done (by default) by a module called
Math::BigInt::Calc. This is equivalent to saying:</p>
<pre class="verbatim"><ol><li>	<a class="l_k" href="functions/use.html">use</a> <span class="w">bigint</span> <span class="w">lib</span> <span class="cm">=&gt;</span> <span class="q">&#39;Calc&#39;</span><span class="sc">;</span></li></ol></pre><p>You can change this by using:</p>
<pre class="verbatim"><ol><li>	<a class="l_k" href="functions/use.html">use</a> <span class="w">bignum</span> <span class="w">lib</span> <span class="cm">=&gt;</span> <span class="q">'GMP'</span><span class="sc">;</span></li></ol></pre><p>The following would first try to find Math::BigInt::Foo, then
Math::BigInt::Bar, and when this also fails, revert to Math::BigInt::Calc:</p>
<pre class="verbatim"><ol><li>	<a class="l_k" href="functions/use.html">use</a> <span class="w">bigint</span> <span class="w">lib</span> <span class="cm">=&gt;</span> <span class="q">&#39;Foo,Math::BigInt::Bar&#39;</span><span class="sc">;</span></li></ol></pre><p>Using <code class="inline"><span class="w">lib</span></code>
 warns if none of the specified libraries can be found and
<a href="Math/BigInt.html">Math::BigInt</a> did fall back to one of the default libraries.
To suppress this warning, use <code class="inline"><span class="w">try</span></code>
 instead:</p>
<pre class="verbatim"><ol><li>        <a class="l_k" href="functions/use.html">use</a> <span class="w">bignum</span> <span class="w">try</span> <span class="cm">=&gt;</span> <span class="q">'GMP'</span><span class="sc">;</span></li></ol></pre><p>If you want the code to die instead of falling back, use <code class="inline"><span class="w">only</span></code>
 instead:</p>
<pre class="verbatim"><ol><li>        <a class="l_k" href="functions/use.html">use</a> <span class="w">bignum</span> <span class="w">only</span> <span class="cm">=&gt;</span> <span class="q">'GMP'</span><span class="sc">;</span></li></ol></pre><p>Please see respective module documentation for further details.</p>
<a name="Internal-Format"></a><h2>Internal Format</h2>
<p>The numbers are stored as objects, and their internals might change at anytime,
especially between math operations. The objects also might belong to different
classes, like Math::BigInt, or Math::BigInt::Lite. Mixing them together, even
with normal scalars is not extraordinary, but normal and expected.</p>
<p>You should not depend on the internal format, all accesses must go through
accessor methods. E.g. looking at $x-&gt;{sign} is not a good idea since there
is no guaranty that the object in question has such a hash key, nor is a hash
underneath at all.</p>
<a name="Sign"></a><h2>Sign</h2>
<p>The sign is either '+', '-', 'NaN', '+inf' or '-inf'.
You can access it with the sign() method.</p>
<p>A sign of 'NaN' is used to represent the result when input arguments are not
numbers or as a result of 0/0. '+inf' and '-inf' represent plus respectively
minus infinity. You will get '+inf' when dividing a positive number by 0, and
'-inf' when dividing any negative number by 0.</p>
<a name="Method-calls"></a><h2>Method calls</h2>
<p>Since all numbers are now objects, you can use all functions that are part of
the BigInt API. You can only use the bxxx() notation, and not the fxxx()
notation, though.</p>
<p>But a warning is in order. When using the following to make a copy of a number,
only a shallow copy will be made.</p>
<pre class="verbatim"><ol><li>	<span class="i">$x</span> = <span class="n">9</span><span class="sc">;</span> <span class="i">$y</span> = <span class="i">$x</span><span class="sc">;</span></li><li>	<span class="i">$x</span> = <span class="i">$y</span> = <span class="n">7</span><span class="sc">;</span></li></ol></pre><p>Using the copy or the original with overloaded math is okay, e.g. the
following work:</p>
<pre class="verbatim"><ol><li>	<span class="i">$x</span> = <span class="n">9</span><span class="sc">;</span> <span class="i">$y</span> = <span class="i">$x</span><span class="sc">;</span></li><li>	<a class="l_k" href="functions/print.html">print</a> <span class="i">$x</span> + <span class="n">1</span><span class="cm">,</span> <span class="q">&quot; &quot;</span><span class="cm">,</span> <span class="i">$y</span><span class="cm">,</span><span class="q">&quot;\n&quot;</span><span class="sc">;</span>	<span class="c"># prints 10 9</span></li></ol></pre><p>but calling any method that modifies the number directly will result in
<b>both</b> the original and the copy being destroyed:</p>
<pre class="verbatim"><ol><li>	<span class="i">$x</span> = <span class="n">9</span><span class="sc">;</span> <span class="i">$y</span> = <span class="i">$x</span><span class="sc">;</span></li><li>	<a class="l_k" href="functions/print.html">print</a> <span class="i">$x</span><span class="i">-&gt;badd</span><span class="s">(</span><span class="n">1</span><span class="s">)</span><span class="cm">,</span> <span class="q">&quot; &quot;</span><span class="cm">,</span> <span class="i">$y</span><span class="cm">,</span><span class="q">&quot;\n&quot;</span><span class="sc">;</span>	<span class="c"># prints 10 10</span></li><li></li><li>	<span class="i">$x</span> = <span class="n">9</span><span class="sc">;</span> <span class="i">$y</span> = <span class="i">$x</span><span class="sc">;</span></li><li>	<a class="l_k" href="functions/print.html">print</a> <span class="i">$x</span><span class="i">-&gt;binc</span><span class="s">(</span><span class="n">1</span><span class="s">)</span><span class="cm">,</span> <span class="q">&quot; &quot;</span><span class="cm">,</span> <span class="i">$y</span><span class="cm">,</span><span class="q">&quot;\n&quot;</span><span class="sc">;</span>	<span class="c"># prints 10 10</span></li><li></li><li>	<span class="i">$x</span> = <span class="n">9</span><span class="sc">;</span> <span class="i">$y</span> = <span class="i">$x</span><span class="sc">;</span></li><li>	<a class="l_k" href="functions/print.html">print</a> <span class="i">$x</span><span class="i">-&gt;bmul</span><span class="s">(</span><span class="n">2</span><span class="s">)</span><span class="cm">,</span> <span class="q">&quot; &quot;</span><span class="cm">,</span> <span class="i">$y</span><span class="cm">,</span><span class="q">&quot;\n&quot;</span><span class="sc">;</span>	<span class="c"># prints 18 18</span></li></ol></pre><p>Using methods that do not modify, but test that the contents works:</p>
<pre class="verbatim"><ol><li>	<span class="i">$x</span> = <span class="n">9</span><span class="sc">;</span> <span class="i">$y</span> = <span class="i">$x</span><span class="sc">;</span></li><li>	<span class="i">$z</span> = <span class="n">9</span> if <span class="i">$x</span><span class="i">-&gt;is_zero</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>		<span class="c"># works fine</span></li></ol></pre><p>See the documentation about the copy constructor and <code class="inline">=</code>
 in overload, as
well as the documentation in BigInt for further details.</p>
<a name="Methods"></a><h2>Methods</h2>
<ul>
<li><a name="inf()"></a><b>inf()</b>
<p>A shortcut to return Math::BigInt-&gt;binf(). Useful because Perl does not always
handle bareword <code class="inline"><span class="w">inf</span></code>
 properly.</p>
</li>
<li><a name="NaN()"></a><b>NaN()</b>
<p>A shortcut to return Math::BigInt-&gt;bnan(). Useful because Perl does not always
handle bareword <code class="inline"><span class="w">NaN</span></code>
 properly.</p>
</li>
<li><a name="e"></a><b>e</b>
<pre class="verbatim"><ol><li>	<span class="c"># perl -Mbigint=e -wle 'print e'</span></li></ol></pre><p>Returns Euler's number <code class="inline"><span class="w">e</span></code>
, aka exp(1). Note that under bigint, this is
truncated to an integer, and hence simple '2'.</p>
</li>
<li><a name="PI"></a><b>PI</b>
<pre class="verbatim"><ol><li>	<span class="c"># perl -Mbigint=PI -wle 'print PI'</span></li></ol></pre><p>Returns PI. Note that under bigint, this is truncated to an integer, and hence
simple '3'.</p>
</li>
<li><a name="bexp()"></a><b>bexp()</b>
<pre class="verbatim"><ol><li>	<span class="i">bexp</span><span class="s">(</span><span class="i">$power</span><span class="cm">,</span><span class="i">$accuracy</span><span class="s">)</span><span class="sc">;</span></li></ol></pre><p>Returns Euler's number <code class="inline"><span class="w">e</span></code>
 raised to the appropriate power, to
the wanted accuracy.</p>
<p>Note that under bigint, the result is truncated to an integer.</p>
<p>Example:</p>
<pre class="verbatim"><ol><li>	<span class="c"># perl -Mbigint=bexp -wle 'print bexp(1,80)'</span></li></ol></pre></li>
<li><a name="bpi()"></a><b>bpi()</b>
<pre class="verbatim"><ol><li>	<span class="i">bpi</span><span class="s">(</span><span class="i">$accuracy</span><span class="s">)</span><span class="sc">;</span></li></ol></pre><p>Returns PI to the wanted accuracy. Note that under bigint, this is truncated
to an integer, and hence simple '3'.</p>
<p>Example:</p>
<pre class="verbatim"><ol><li>	<span class="c"># perl -Mbigint=bpi -wle 'print bpi(80)'</span></li></ol></pre></li>
<li><a name="upgrade()"></a><b>upgrade()</b>
<p>Return the class that numbers are upgraded to, is in fact returning
<code class="inline"><span class="i">$Math::BigInt::upgrade</span></code>
.</p>
</li>
<li><a name="in_effect()"></a><b>in_effect()</b>
<pre class="verbatim"><ol><li>	<a class="l_k" href="functions/use.html">use</a> <span class="w">bigint</span><span class="sc">;</span></li><li></li><li>	<a class="l_k" href="functions/print.html">print</a> <span class="q">&quot;in effect\n&quot;</span> if <span class="w">bigint::in_effect</span><span class="sc">;</span>	<span class="c"># true</span></li><li>	<span class="s">{</span></li><li>	  <a class="l_k" href="functions/no.html">no</a> <span class="w">bigint</span><span class="sc">;</span></li><li>	  <a class="l_k" href="functions/print.html">print</a> <span class="q">&quot;in effect\n&quot;</span> if <span class="w">bigint::in_effect</span><span class="sc">;</span>	<span class="c"># false</span></li><li>	<span class="s">}</span></li></ol></pre><p>Returns true or false if <code class="inline"><span class="w">bigint</span></code>
 is in effect in the current scope.</p>
<p>This method only works on Perl v5.9.4 or later.</p>
</li>
</ul>
<a name="CAVEATS"></a><h1>CAVEATS</h1>
<ul>
<li><a name="Operator-vs-literal-overloading"></a><b>Operator vs literal overloading</b>
<p><code class="inline"><span class="w">bigint</span></code>
 works by overloading handling of integer and floating point
literals, converting them to <a href="Math/BigInt.html">Math::BigInt</a> objects.</p>
<p>This means that arithmetic involving only string values or string
literals will be performed using Perl's built-in operators.</p>
<p>For example:</p>
<pre class="verbatim"><ol><li>    <a class="l_k" href="functions/use.html">use</a> <span class="w">bignum</span><span class="sc">;</span></li><li>    <a class="l_k" href="functions/my.html">my</a> <span class="i">$x</span> = <span class="q">&quot;900000000000000009&quot;</span><span class="sc">;</span></li><li>    <a class="l_k" href="functions/my.html">my</a> <span class="i">$y</span> = <span class="q">&quot;900000000000000007&quot;</span><span class="sc">;</span></li><li>    <a class="l_k" href="functions/print.html">print</a> <span class="i">$x</span> - <span class="i">$y</span><span class="sc">;</span></li></ol></pre><p>will output <code class="inline"><span class="n">0</span></code>
 on default 32-bit builds, since <code class="inline"><span class="w">bigint</span></code>
 never sees
the string literals.  To ensure the expression is all treated as
<code class="inline"><span class="w">Math::BigInt</span></code>
 objects, use a literal number in the expression:</p>
<pre class="verbatim"><ol><li>    <a class="l_k" href="functions/print.html">print</a> +<span class="s">(</span><span class="n">0</span>+<span class="i">$x</span><span class="s">)</span> - <span class="i">$y</span><span class="sc">;</span></li></ol></pre></li>
<li><a name="ranges"></a><b>ranges</b>
<p>Perl does not allow overloading of ranges, so you can neither safely use
ranges with bigint endpoints, nor is the iterator variable a bigint.</p>
<pre class="verbatim"><ol><li>	<a class="l_k" href="functions/use.html">use</a> <span class="n">5.010</span><span class="sc">;</span></li><li>	<a class="l_k" href="functions/for.html">for</a> <a class="l_k" href="functions/my.html">my</a> <span class="i">$i</span> <span class="s">(</span><span class="n">12</span>..<span class="n">13</span><span class="s">)</span> <span class="s">{</span></li><li>	  <a class="l_k" href="functions/for.html">for</a> <a class="l_k" href="functions/my.html">my</a> <span class="i">$j</span> <span class="s">(</span><span class="n">20</span>..<span class="n">21</span><span class="s">)</span> <span class="s">{</span></li><li>	    <a class="l_k" href="functions/say.html">say</a> <span class="i">$i</span> <span class="i">**</span> <span class="i">$j</span><span class="sc">;</span>  <span class="c"># produces a floating-point number,</span></li><li>	                   <span class="c"># not a big integer</span></li><li>	  <span class="s">}</span></li><li>	<span class="s">}</span></li></ol></pre></li>
<li><a name="in_effect()"></a><b>in_effect()</b>
<p>This method only works on Perl v5.9.4 or later.</p>
</li>
<li><a name="hex()%2foct()"></a><b>hex()/oct()</b>
<p><code class="inline"><span class="w">bigint</span></code>
 overrides these routines with versions that can also handle
big integer values. Under Perl prior to version v5.9.4, however, this
will not happen unless you specifically ask for it with the two
import tags "hex" and "oct" - and then it will be global and cannot be
disabled inside a scope with "no bigint":</p>
<pre class="verbatim"><ol><li>	<a class="l_k" href="functions/use.html">use</a> <span class="w">bigint</span> <span class="q">qw/hex oct/</span><span class="sc">;</span></li><li></li><li>	<a class="l_k" href="functions/print.html">print</a> <a class="l_k" href="functions/hex.html">hex</a><span class="s">(</span><span class="q">&quot;0x1234567890123456&quot;</span><span class="s">)</span><span class="sc">;</span></li><li>	<span class="s">{</span></li><li>		<a class="l_k" href="functions/no.html">no</a> <span class="w">bigint</span><span class="sc">;</span></li><li>		<a class="l_k" href="functions/print.html">print</a> <a class="l_k" href="functions/hex.html">hex</a><span class="s">(</span><span class="q">&quot;0x1234567890123456&quot;</span><span class="s">)</span><span class="sc">;</span></li><li>	<span class="s">}</span></li></ol></pre><p>The second call to hex() will warn about a non-portable constant.</p>
<p>Compare this to:</p>
<pre class="verbatim"><ol><li>	<a class="l_k" href="functions/use.html">use</a> <span class="w">bigint</span><span class="sc">;</span></li><li></li><li>	<span class="c"># will warn only under Perl older than v5.9.4</span></li><li>	<a class="l_k" href="functions/print.html">print</a> <a class="l_k" href="functions/hex.html">hex</a><span class="s">(</span><span class="q">&quot;0x1234567890123456&quot;</span><span class="s">)</span><span class="sc">;</span></li></ol></pre></li>
</ul>
<a name="MODULES-USED"></a><h1>MODULES USED</h1>
<p><code class="inline"><span class="w">bigint</span></code>
 is just a thin wrapper around various modules of the Math::BigInt
family. Think of it as the head of the family, who runs the shop, and orders
the others to do the work.</p>
<p>The following modules are currently used by bigint:</p>
<pre class="verbatim"><ol><li>	Math::BigInt::Lite	(for speed, and only if it is loadable)</li><li>	Math::BigInt</li></ol></pre><a name="EXAMPLES"></a><h1>EXAMPLES</h1>
<p>Some cool command line examples to impress the Python crowd ;) You might want
to compare them to the results under -Mbignum or -Mbigrat:</p>
<pre class="verbatim"><ol><li>	perl -Mbigint -le 'print sqrt(33)'</li><li>	perl -Mbigint -le 'print 2*255'</li><li>	perl -Mbigint -le 'print 4.5+2*255'</li><li>	perl -Mbigint -le 'print 3/7 + 5/7 + 8/3'</li><li>	perl -Mbigint -le 'print 123-&gt;is_odd()'</li><li>	perl -Mbigint -le 'print log(2)'</li><li>	perl -Mbigint -le 'print 2 ** 0.5'</li><li>	perl -Mbigint=a,65 -le 'print 2 ** 0.2'</li><li>	perl -Mbignum=a,65,l,GMP -le 'print 7 ** 7777'</li></ol></pre><a name="LICENSE"></a><h1>LICENSE</h1>
<p>This program is free software; you may redistribute it and/or modify it under
the same terms as Perl itself.</p>
<a name="SEE-ALSO"></a><h1>SEE ALSO</h1>
<p>Especially <a href="bigrat.html">bigrat</a> as in <code class="inline"><span class="w">perl</span> -<span class="w">Mbigrat</span> -le <span class="q">&#39;print 1/3+1/4&#39;</span></code>
 and
<a href="bignum.html">bignum</a> as in <code class="inline"><span class="w">perl</span> -<span class="w">Mbignum</span> -le <span class="q">&#39;print sqrt(2)&#39;</span></code>
.</p>
<p><a href="Math/BigInt.html">Math::BigInt</a>, <a href="Math/BigRat.html">Math::BigRat</a> and <a href="http://search.cpan.org/perldoc/Math::Big">Math::Big</a> as well
as <a href="http://search.cpan.org/perldoc/Math::BigInt::Pari">Math::BigInt::Pari</a> and  <a href="http://search.cpan.org/perldoc/Math::BigInt::GMP">Math::BigInt::GMP</a>.</p>
<a name="AUTHORS"></a><h1>AUTHORS</h1>
<p>(C) by Tels <a href="http://bloodgate.com/">http://bloodgate.com/</a> in early 2002 - 2007.</p>




  <div id="page_index" class="hud_container">
    <div id="page_index_header" class="hud_header">
      <div id="page_index_close" class="hud_close"><a href="#" onClick="pageIndex.hide();return false;"></a></div>
      <div id="page_index_title" class="hud_title"><span class="hud_span_top">Page index</span></div>
      <div id="page_index_topright" class="hud_topright"></div>
    </div>
    <div id="page_index_content" class="hud_content">
      <ul><li><a href="#NAME">NAME</a><li><a href="#SYNOPSIS">SYNOPSIS</a><li><a href="#DESCRIPTION">DESCRIPTION</a><ul><li><a href="#use-integer-vs.-use-bigint">use integer vs. use bigint</a><li><a href="#Options">Options</a><li><a href="#Math-Library">Math Library</a><li><a href="#Internal-Format">Internal Format</a><li><a href="#Sign">Sign</a><li><a href="#Method-calls">Method calls</a><li><a href="#Methods">Methods</a></ul><li><a href="#CAVEATS">CAVEATS</a><li><a href="#MODULES-USED">MODULES USED</a><li><a href="#EXAMPLES">EXAMPLES</a><li><a href="#LICENSE">LICENSE</a><li><a href="#SEE-ALSO">SEE ALSO</a><li><a href="#AUTHORS">AUTHORS</a></ul>
    </div>
    <div id="page_index_footer" class="hud_footer">
      <div id="page_index_bottomleft" class="hud_bottomleft"></div>
      <div id="page_index_bottom" class="hud_bottom"><span class="hud_span_bottom"></span></div>
      <div id="page_index_resize" class="hud_resize"></div>
    </div>
  </div>


	    &nbsp;
          </div>
          <div id="content_footer">
          </div>
        </div>
        <div class="clear"></div>
      </div>
      
    <div id="footer">
      <div id="footer_content">
        <div id="footer_strapline">
          perldoc.perl.org - Official documentation for the Perl programming language
        </div>
        <div id="footer_links">
          <div id="address">
            <p class="name">Contact details</p>
            <p class="address">
	      Site maintained by <a href="mailto:jj@jonallen.info">Jon Allen (JJ)</a><br>
	    </p>
            <p class="contact">
              Documentation maintained by the <a href="http://lists.cpan.org/showlist.cgi?name=perl5-porters">Perl 5 Porters</a>
            </p>
          </div>
          <ul class="f1">
            <li>Manual
              <ul class="f2">
                <li><a href="index-overview.html">Overview</a>
                <li><a href="index-tutorials.html">Tutorials</a>
                <li><a href="index-faq.html">FAQs</a>
                <li><a href="index-history.html">Changes</a>
              </ul>
            <li>Reference
              <ul class="f2">
                <li><a href="index-language.html">Language</a>
                <li><a href="index-functions.html">Functions</a>
                <li><a href="perlop.html">Operators</a>
                <li><a href="perlvar.html">Variables</a>
              </ul>
            <li>Modules
              <ul class="f2">
                <li><a href="index-modules-A.html">Modules</a>
                <li><a href="index-pragmas.html">Pragmas</a>
                <li><a href="index-utilities.html">Utilities</a>
              </ul>
            <li>Misc
              <ul class="f2">
                <li><a href="index-licence.html">License</a>
                <li><a href="index-internals.html">Internals</a>
                <li><a href="index-platforms.html">Platforms</a>
              </ul>          </ul>
          <div class="clear"></div>
        </div>
      </div>
      <div id="footer_end">
      </div>
    </div>
      
    </div>
      <script language="JavaScript" type="text/javascript" src="static/exploreperl.js"></script>
      <script language="JavaScript" src="static/combined-20100403.js" type="text/javascript"></script>
<script language="JavaScript" type="text/javascript">
  perldoc.setPath(0);
  perldoc.pageName    = 'bigint';
  perldoc.pageAddress = 'bigint.html';
  perldoc.contentPage = 1;
  explorePerl.render();
  explorePerl.addEvents('explore_anchor');
</script>
    
  </body>
</html>