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Bug #61414 bindec result give unexpected result
Submitted: 2012-03-16 10:58 UTC Modified: 2012-03-16 21:48 UTC
From: charlie at 8opus dot com Assigned:
Status: Not a bug Package: Math related
PHP Version: 5.3.10 OS: Linux
Private report: No CVE-ID: None
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From: charlie at 8opus dot com
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 [2012-03-16 10:58 UTC] charlie at 8opus dot com 
Description:
------------
I have used the following script to generate bindec. But for some of binary code 
are different, but the decimal number are the same. 



Test script:
---------------
for($j = 0; $j < 15; $j++) {
   $binary_string = str_repeat('1', 64);
   for ($i = 0; $i < $j; $i++) {
      $binary_string[$i] = '0';
   }
   $ret = bindec($binary_string);
   $dec = sprintf("%.0f", $ret);
   echo "\n{$binary_string}\t{$ret}\t{$dec}";

   for ($i=63; $i>$j; $i--) {
      $binary_string[$i] = '0';
      $ret = bindec($binary_string);
      $dec = sprintf("%.0f", $ret);
      echo "\n{$binary_string}\t{$ret}\t{$dec}";
   }
   echo "\n";
}

Actual result:
--------------
1111111111111111111111111111111111111111111111111111111111111111	
1.844674407371E+19	18446744073709551616
1111111111111111111111111111111111111111111111111111111111111110	
1.844674407371E+19	18446744073709551616
1111111111111111111111111111111111111111111111111111111111111100	
1.844674407371E+19	18446744073709551616
1111111111111111111111111111111111111111111111111111111111111000	
1.844674407371E+19	18446744073709551616
1111111111111111111111111111111111111111111111111111111111110000	
1.844674407371E+19	18446744073709551616
1111111111111111111111111111111111111111111111111111111111100000	
1.844674407371E+19	18446744073709551616
1111111111111111111111111111111111111111111111111111111111000000	
1.844674407371E+19	18446744073709551616
1111111111111111111111111111111111111111111111111111111110000000	
1.844674407371E+19	18446744073709551616
1111111111111111111111111111111111111111111111111111111100000000	
1.844674407371E+19	18446744073709551616
1111111111111111111111111111111111111111111111111111111000000000	
1.844674407371E+19	18446744073709551616
1111111111111111111111111111111111111111111111111111110000000000	
1.844674407371E+19	18446744073709551616
1111111111111111111111111111111111111111111111111111100000000000	
1.844674407371E+19	18446744073709549568
1111111111111111111111111111111111111111111111111111000000000000	
1.844674407371E+19	18446744073709547520
1111111111111111111111111111111111111111111111111110000000000000	
1.844674407371E+19	18446744073709543424
1111111111111111111111111111111111111111111111111100000000000000	
1.844674407371E+19	18446744073709535232
1111111111111111111111111111111111111111111111111000000000000000	
1.844674407371E+19	18446744073709518848
1111111111111111111111111111111111111111111111110000000000000000	
1.8446744073709E+19	18446744073709486080
1111111111111111111111111111111111111111111111100000000000000000	
1.8446744073709E+19	18446744073709420544
1111111111111111111111111111111111111111111111000000000000000000	
1.8446744073709E+19	18446744073709289472
1111111111111111111111111111111111111111111110000000000000000000	
1.8446744073709E+19	18446744073709027328
1111111111111111111111111111111111111111111100000000000000000000	
1.8446744073709E+19	18446744073708503040
1111111111111111111111111111111111111111111000000000000000000000	
1.8446744073707E+19	18446744073707454464
1111111111111111111111111111111111111111110000000000000000000000	
1.8446744073705E+19	18446744073705357312
1111111111111111111111111111111111111111100000000000000000000000	
1.8446744073701E+19	18446744073701163008
1111111111111111111111111111111111111111000000000000000000000000	
1.8446744073693E+19	18446744073692774400
1111111111111111111111111111111111111110000000000000000000000000	
1.8446744073676E+19	18446744073675997184
1111111111111111111111111111111111111100000000000000000000000000	
1.8446744073642E+19	18446744073642442752
1111111111111111111111111111111111111000000000000000000000000000	
1.8446744073575E+19	18446744073575333888
1111111111111111111111111111111111110000000000000000000000000000	
1.8446744073441E+19	18446744073441116160
1111111111111111111111111111111111100000000000000000000000000000	
1.8446744073173E+19	18446744073172680704
1111111111111111111111111111111111000000000000000000000000000000	
1.8446744072636E+19	18446744072635809792
1111111111111111111111111111111110000000000000000000000000000000	
1.8446744071562E+19	18446744071562067968
1111111111111111111111111111111100000000000000000000000000000000	
1.8446744069415E+19	18446744069414584320
1111111111111111111111111111111000000000000000000000000000000000	
1.844674406512E+19	18446744065119617024
1111111111111111111111111111110000000000000000000000000000000000	
1.844674405653E+19	18446744056529682432
1111111111111111111111111111100000000000000000000000000000000000	
1.844674403935E+19	18446744039349813248
1111111111111111111111111111000000000000000000000000000000000000	
1.844674400499E+19	18446744004990074880
1111111111111111111111111110000000000000000000000000000000000000	
1.8446743936271E+19	18446743936270598144
1111111111111111111111111100000000000000000000000000000000000000	
1.8446743798832E+19	18446743798831644672
1111111111111111111111111000000000000000000000000000000000000000	
1.8446743523954E+19	18446743523953737728
1111111111111111111111110000000000000000000000000000000000000000	
1.8446742974198E+19	18446742974197923840
1111111111111111111111100000000000000000000000000000000000000000	
1.8446741874686E+19	18446741874686296064
1111111111111111111111000000000000000000000000000000000000000000	
1.8446739675663E+19	18446739675663040512
1111111111111111111110000000000000000000000000000000000000000000	
1.8446735277617E+19	18446735277616529408
1111111111111111111100000000000000000000000000000000000000000000	
1.8446726481524E+19	18446726481523507200
1111111111111111111000000000000000000000000000000000000000000000	
1.8446708889337E+19	18446708889337462784
1111111111111111110000000000000000000000000000000000000000000000	
1.8446673704965E+19	18446673704965373952
1111111111111111100000000000000000000000000000000000000000000000	
1.8446603336221E+19	18446603336221196288
1111111111111111000000000000000000000000000000000000000000000000	
1.8446462598733E+19	18446462598732840960
1111111111111110000000000000000000000000000000000000000000000000	
1.8446181123756E+19	18446181123756130304
1111111111111100000000000000000000000000000000000000000000000000	
1.8445618173803E+19	18445618173802708992
1111111111111000000000000000000000000000000000000000000000000000	
1.8444492273896E+19	18444492273895866368
1111111111110000000000000000000000000000000000000000000000000000	
1.8442240474082E+19	18442240474082181120
1111111111100000000000000000000000000000000000000000000000000000	
1.8437736874455E+19	18437736874454810624
1111111111000000000000000000000000000000000000000000000000000000	
1.84287296752E+19	18428729675200069632
1111111110000000000000000000000000000000000000000000000000000000	
1.8410715276691E+19	18410715276690587648
1111111100000000000000000000000000000000000000000000000000000000	
1.8374686479672E+19	18374686479671623680
1111111000000000000000000000000000000000000000000000000000000000	
1.8302628885634E+19	18302628885633695744
1111110000000000000000000000000000000000000000000000000000000000	
1.8158513697558E+19	18158513697557839872
1111100000000000000000000000000000000000000000000000000000000000	
1.7870283321406E+19	17870283321406128128
1111000000000000000000000000000000000000000000000000000000000000	
1.7293822569103E+19	17293822569102704640
1110000000000000000000000000000000000000000000000000000000000000	
1.6140901064496E+19	16140901064495857664
1100000000000000000000000000000000000000000000000000000000000000	
1.3835058055282E+19	13835058055282163712
1000000000000000000000000000000000000000000000000000000000000000	
9.2233720368548E+18	9223372036854775808

0111111111111111111111111111111111111111111111111111111111111111	
9223372036854775807	9223372036854775808
0111111111111111111111111111111111111111111111111111111111111110	
9223372036854775806	9223372036854775808
0111111111111111111111111111111111111111111111111111111111111100	
9223372036854775804	9223372036854775808
0111111111111111111111111111111111111111111111111111111111111000	
9223372036854775800	9223372036854775808
0111111111111111111111111111111111111111111111111111111111110000	
9223372036854775792	9223372036854775808
0111111111111111111111111111111111111111111111111111111111100000	
9223372036854775776	9223372036854775808
0111111111111111111111111111111111111111111111111111111111000000	
9223372036854775744	9223372036854775808
0111111111111111111111111111111111111111111111111111111110000000	
9223372036854775680	9223372036854775808
0111111111111111111111111111111111111111111111111111111100000000	
9223372036854775552	9223372036854775808
0111111111111111111111111111111111111111111111111111111000000000	
9223372036854775296	9223372036854775808
0111111111111111111111111111111111111111111111111111110000000000	
9223372036854774784	9223372036854774784
0111111111111111111111111111111111111111111111111111100000000000	
9223372036854773760	9223372036854773760
0111111111111111111111111111111111111111111111111111000000000000	
9223372036854771712	9223372036854771712
0111111111111111111111111111111111111111111111111110000000000000	
9223372036854767616	9223372036854767616
0111111111111111111111111111111111111111111111111100000000000000	
9223372036854759424	9223372036854759424
0111111111111111111111111111111111111111111111111000000000000000	
9223372036854743040	9223372036854743040
0111111111111111111111111111111111111111111111110000000000000000	
9223372036854710272	9223372036854710272
0111111111111111111111111111111111111111111111100000000000000000	
9223372036854644736	9223372036854644736
0111111111111111111111111111111111111111111111000000000000000000	
9223372036854513664	9223372036854513664
0111111111111111111111111111111111111111111110000000000000000000	
9223372036854251520	9223372036854251520
0111111111111111111111111111111111111111111100000000000000000000	
9223372036853727232	9223372036853727232
0111111111111111111111111111111111111111111000000000000000000000	
9223372036852678656	9223372036852678656
0111111111111111111111111111111111111111110000000000000000000000	
9223372036850581504	9223372036850581504
0111111111111111111111111111111111111111100000000000000000000000	
9223372036846387200	9223372036846387200
0111111111111111111111111111111111111111000000000000000000000000	
9223372036837998592	9223372036837998592
0111111111111111111111111111111111111110000000000000000000000000	
9223372036821221376	9223372036821221376
0111111111111111111111111111111111111100000000000000000000000000	
9223372036787666944	9223372036787666944
0111111111111111111111111111111111111000000000000000000000000000	
9223372036720558080	9223372036720558080
0111111111111111111111111111111111110000000000000000000000000000	
9223372036586340352	9223372036586340352
0111111111111111111111111111111111100000000000000000000000000000	
9223372036317904896	9223372036317904896
0111111111111111111111111111111111000000000000000000000000000000	
9223372035781033984	9223372035781033984
0111111111111111111111111111111110000000000000000000000000000000	
9223372034707292160	9223372034707292160
0111111111111111111111111111111100000000000000000000000000000000	
9223372032559808512	9223372032559808512
0111111111111111111111111111111000000000000000000000000000000000	
9223372028264841216	9223372028264841216
0111111111111111111111111111110000000000000000000000000000000000	
9223372019674906624	9223372019674906624
0111111111111111111111111111100000000000000000000000000000000000	
9223372002495037440	9223372002495037440
0111111111111111111111111111000000000000000000000000000000000000	
9223371968135299072	9223371968135299072
0111111111111111111111111110000000000000000000000000000000000000	
9223371899415822336	9223371899415822336
0111111111111111111111111100000000000000000000000000000000000000	
9223371761976868864	9223371761976868864
0111111111111111111111111000000000000000000000000000000000000000	
9223371487098961920	9223371487098961920
0111111111111111111111110000000000000000000000000000000000000000	
9223370937343148032	9223370937343148032
0111111111111111111111100000000000000000000000000000000000000000	
9223369837831520256	9223369837831520256
0111111111111111111111000000000000000000000000000000000000000000	
9223367638808264704	9223367638808264704
0111111111111111111110000000000000000000000000000000000000000000	
9223363240761753600	9223363240761753600
0111111111111111111100000000000000000000000000000000000000000000	
9223354444668731392	9223354444668731392
0111111111111111111000000000000000000000000000000000000000000000	
9223336852482686976	9223336852482686976
0111111111111111110000000000000000000000000000000000000000000000	
9223301668110598144	9223301668110598144
0111111111111111100000000000000000000000000000000000000000000000	
9223231299366420480	9223231299366420480
0111111111111111000000000000000000000000000000000000000000000000	
9223090561878065152	9223090561878065152
0111111111111110000000000000000000000000000000000000000000000000	
9222809086901354496	9222809086901354496
0111111111111100000000000000000000000000000000000000000000000000	
9222246136947933184	9222246136947933184
0111111111111000000000000000000000000000000000000000000000000000	
9221120237041090560	9221120237041090560
0111111111110000000000000000000000000000000000000000000000000000	
9218868437227405312	9218868437227405312
0111111111100000000000000000000000000000000000000000000000000000	
9214364837600034816	9214364837600034816
0111111111000000000000000000000000000000000000000000000000000000	
9205357638345293824	9205357638345293824
0111111110000000000000000000000000000000000000000000000000000000	
9187343239835811840	9187343239835811840
0111111100000000000000000000000000000000000000000000000000000000	
9151314442816847872	9151314442816847872
0111111000000000000000000000000000000000000000000000000000000000	
9079256848778919936	9079256848778919936
0111110000000000000000000000000000000000000000000000000000000000	
8935141660703064064	8935141660703064064
0111100000000000000000000000000000000000000000000000000000000000	
8646911284551352320	8646911284551352320
0111000000000000000000000000000000000000000000000000000000000000	
8070450532247928832	8070450532247928832
0110000000000000000000000000000000000000000000000000000000000000	
6917529027641081856	6917529027641081856
0100000000000000000000000000000000000000000000000000000000000000	
4611686018427387904	4611686018427387904

0011111111111111111111111111111111111111111111111111111111111111	
4611686018427387903	4611686018427387904
0011111111111111111111111111111111111111111111111111111111111110	
4611686018427387902	4611686018427387904
0011111111111111111111111111111111111111111111111111111111111100	
4611686018427387900	4611686018427387904
0011111111111111111111111111111111111111111111111111111111111000	
4611686018427387896	4611686018427387904
0011111111111111111111111111111111111111111111111111111111110000	
4611686018427387888	4611686018427387904
0011111111111111111111111111111111111111111111111111111111100000	
4611686018427387872	4611686018427387904
0011111111111111111111111111111111111111111111111111111111000000	
4611686018427387840	4611686018427387904
0011111111111111111111111111111111111111111111111111111110000000	
4611686018427387776	4611686018427387904
0011111111111111111111111111111111111111111111111111111100000000	
4611686018427387648	4611686018427387904
0011111111111111111111111111111111111111111111111111111000000000	
4611686018427387392	4611686018427387392
0011111111111111111111111111111111111111111111111111110000000000	
4611686018427386880	4611686018427386880
0011111111111111111111111111111111111111111111111111100000000000	
4611686018427385856	4611686018427385856
0011111111111111111111111111111111111111111111111111000000000000	
4611686018427383808	4611686018427383808
0011111111111111111111111111111111111111111111111110000000000000	
4611686018427379712	4611686018427379712
0011111111111111111111111111111111111111111111111100000000000000	
4611686018427371520	4611686018427371520
0011111111111111111111111111111111111111111111111000000000000000	
4611686018427355136	4611686018427355136
0011111111111111111111111111111111111111111111110000000000000000	
4611686018427322368	4611686018427322368
0011111111111111111111111111111111111111111111100000000000000000	
4611686018427256832	4611686018427256832
0011111111111111111111111111111111111111111111000000000000000000	
4611686018427125760	4611686018427125760
0011111111111111111111111111111111111111111110000000000000000000	
4611686018426863616	4611686018426863616
0011111111111111111111111111111111111111111100000000000000000000	
4611686018426339328	4611686018426339328
0011111111111111111111111111111111111111111000000000000000000000	
4611686018425290752	4611686018425290752
0011111111111111111111111111111111111111110000000000000000000000	
4611686018423193600	4611686018423193600
0011111111111111111111111111111111111111100000000000000000000000	
4611686018418999296	4611686018418999296
0011111111111111111111111111111111111111000000000000000000000000	
4611686018410610688	4611686018410610688
0011111111111111111111111111111111111110000000000000000000000000	
4611686018393833472	4611686018393833472
0011111111111111111111111111111111111100000000000000000000000000	
4611686018360279040	4611686018360279040
0011111111111111111111111111111111111000000000000000000000000000	
4611686018293170176	4611686018293170176
0011111111111111111111111111111111110000000000000000000000000000	
4611686018158952448	4611686018158952448
0011111111111111111111111111111111100000000000000000000000000000	
4611686017890516992	4611686017890516992
0011111111111111111111111111111111000000000000000000000000000000	
4611686017353646080	4611686017353646080
0011111111111111111111111111111110000000000000000000000000000000	
4611686016279904256	4611686016279904256
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4611686014132420608	4611686014132420608
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4611686009837453312	4611686009837453312
0011111111111111111111111111110000000000000000000000000000000000	
4611686001247518720	4611686001247518720
0011111111111111111111111111100000000000000000000000000000000000	
4611685984067649536	4611685984067649536
0011111111111111111111111111000000000000000000000000000000000000	
4611685949707911168	4611685949707911168
0011111111111111111111111110000000000000000000000000000000000000	
4611685880988434432	4611685880988434432
0011111111111111111111111100000000000000000000000000000000000000	
4611685743549480960	4611685743549480960
0011111111111111111111111000000000000000000000000000000000000000	
4611685468671574016	4611685468671574016
0011111111111111111111110000000000000000000000000000000000000000	
4611684918915760128	4611684918915760128
0011111111111111111111100000000000000000000000000000000000000000	
4611683819404132352	4611683819404132352
0011111111111111111111000000000000000000000000000000000000000000	
4611681620380876800	4611681620380876800
0011111111111111111110000000000000000000000000000000000000000000	
4611677222334365696	4611677222334365696
0011111111111111111100000000000000000000000000000000000000000000	
4611668426241343488	4611668426241343488
0011111111111111111000000000000000000000000000000000000000000000	
4611650834055299072	4611650834055299072
0011111111111111110000000000000000000000000000000000000000000000	
4611615649683210240	4611615649683210240
0011111111111111100000000000000000000000000000000000000000000000	
4611545280939032576	4611545280939032576
0011111111111111000000000000000000000000000000000000000000000000	
4611404543450677248	4611404543450677248
0011111111111110000000000000000000000000000000000000000000000000	
4611123068473966592	4611123068473966592
0011111111111100000000000000000000000000000000000000000000000000	
4610560118520545280	4610560118520545280
0011111111111000000000000000000000000000000000000000000000000000	
4609434218613702656	4609434218613702656
0011111111110000000000000000000000000000000000000000000000000000	
4607182418800017408	4607182418800017408
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4602678819172646912	4602678819172646912
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4323455642275676160	4323455642275676160
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0011000000000000000000000000000000000000000000000000000000000000	
3458764513820540928	3458764513820540928
0010000000000000000000000000000000000000000000000000000000000000	
2305843009213693952	2305843009213693952

0001111111111111111111111111111111111111111111111111111111111111	
2305843009213693951	2305843009213693952
0001111111111111111111111111111111111111111111111111111111111110	
2305843009213693950	2305843009213693952
0001111111111111111111111111111111111111111111111111111111111100	
2305843009213693948	2305843009213693952
0001111111111111111111111111111111111111111111111111111111111000	
2305843009213693944	2305843009213693952
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2305843009213693936	2305843009213693952
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2305843009213693920	2305843009213693952
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2305843009213693888	2305843009213693952
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2305843009213693824	2305843009213693952
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2305843009213693696	2305843009213693696
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2305843009213693440	2305843009213693440
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2305843009213692928	2305843009213692928
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2305843009213691904	2305843009213691904
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2305843009213689856	2305843009213689856
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2305843009213685760	2305843009213685760
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2305843009213677568	2305843009213677568
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Patches

Pull Requests

History

AllCommentsChangesGit/SVN commitsRelated reports
 [2012-03-16 15:19 UTC] cataphract@php.net 
You're fedding 64-bit numbers to bindec. Since PHP 64-bit integers are signed and your first digit is 1, the number cannot be represented as a PHP integer. PHP then uses a float, as the documentation describes, but at this point the ULP is much smaller than 1 and changing the least significant bits has no effect.

Closing (bogus report).
 [2012-03-16 15:19 UTC] cataphract@php.net
-Status: Open +Status: Not a bug
 [2012-03-16 15:20 UTC] cataphract@php.net 
read: ... much larger than 1 ...
 [2012-03-16 20:39 UTC] charlie at 8opus dot com 
It will happen for first 10 digits
 [2012-03-16 21:48 UTC] cataphract@php.net 
Sounds about right, as IEEE 754-2008 double precision numbers have 53 bit mantissas.
 
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