1 #include this file into another for subclass testing
3 # This file is nearly identical to bigintpm.t, except that certain results
4 # are _requird_ to be different due to "upgrading" or "promoting" to BigFloat.
5 # The reverse is not true, any unmarked results can be either BigInt or
6 # BigFloat, depending on how good the internal optimization is (e.g. it
7 # is usually desirable to have 2 ** 2 return an BigInt, not an BigFloat).
9 # Results that are required to be BigFloat are marked with an "^" at the end.
11 # Please note that the testcount goes up by two for each extra result marked
12 # with ^, since then we test whether it has the proper class and that it left
13 # the upgrade variable alone.
15 my $version = ${"$class\::VERSION"};
17 ##############################################################################
18 # for testing inheritance of _swap
22 use Math::BigInt lib => $main::CL;
24 @ISA = (qw/Math::BigInt/);
27 # customized overload for sub, since original does not use swap there
28 '-' => sub { my @a = ref($_[0])->_swap(@_);
33 # a fake _swap, which reverses the params
34 my $self = shift; # for override in subclass
37 my $c = ref ($_[0] ) || 'Math::Foo';
38 return ( $_[0]->copy(), $_[1] );
42 return ( Math::Foo->new($_[1]), $_[0] );
46 ##############################################################################
49 my $CALC = $class->config()->{lib}; ok ($CALC,$CL);
51 my ($f,$z,$a,$exp,@a,$m,$e,$round_mode,$expected_class);
56 next if /^#/; # skip comments
63 $round_mode = $_; $round_mode =~ s/^\$/$class\->/; next;
66 @args = split(/:/,$_,99); $ans = pop(@args);
67 $expected_class = $class;
70 $expected_class = $ECL; $ans =~ s/\^$//;
72 $try = "\$x = $class->new(\"$args[0]\");";
75 $try = "\$x = $class->bnorm(\"$args[0]\");";
77 } elsif ($f =~ /^is_(zero|one|odd|even|negative|positive|nan|int)$/) {
79 } elsif ($f eq "as_hex") {
80 $try .= '$x->as_hex();';
81 } elsif ($f eq "as_bin") {
82 $try .= '$x->as_bin();';
83 } elsif ($f eq "is_inf") {
84 $try .= "\$x->is_inf('$args[1]');";
85 } elsif ($f eq "binf") {
86 $try .= "\$x->binf('$args[1]');";
87 } elsif ($f eq "bone") {
88 $try .= "\$x->bone('$args[1]');";
90 } elsif ($f =~ /^b(nan|floor|ceil|sstr|neg|abs|inc|dec|not|sqrt|fac)$/) {
92 } elsif ($f eq "length") {
93 $try .= '$x->length();';
94 } elsif ($f eq "exponent"){
95 # ->bstr() to see if an object is returned
96 $try .= '$x = $x->exponent()->bstr();';
97 } elsif ($f eq "mantissa"){
98 # ->bstr() to see if an object is returned
99 $try .= '$x = $x->mantissa()->bstr();';
100 } elsif ($f eq "parts"){
101 $try .= '($m,$e) = $x->parts();';
102 # ->bstr() to see if an object is returned
103 $try .= '$m = $m->bstr(); $m = "NaN" if !defined $m;';
104 $try .= '$e = $e->bstr(); $e = "NaN" if !defined $e;';
107 if ($args[1] !~ /\./)
109 $try .= "\$y = $class->new(\"$args[1]\");"; # BigInt
113 $try .= "\$y = $ECL->new(\"$args[1]\");"; # BigFloat
117 $try .= '$x <=> $y;';
118 } elsif ($f eq "bround") {
119 $try .= "$round_mode; \$x->bround(\$y);";
120 } elsif ($f eq "bacmp"){
121 $try .= '$x->bacmp($y);';
122 } elsif ($f eq "badd"){
124 } elsif ($f eq "bsub"){
126 } elsif ($f eq "bmul"){
128 } elsif ($f eq "bdiv"){
130 } elsif ($f eq "bdiv-list"){
131 $try .= 'join (",",$x->bdiv($y));';
133 } elsif ($f =~ /^.=$/){
134 $try .= "\$x $f \$y;";
136 } elsif ($f =~ /^.$/){
137 $try .= "\$x $f \$y;";
138 } elsif ($f eq "bmod"){
140 } elsif ($f eq "bgcd")
142 if (defined $args[2])
144 $try .= " \$z = $class->new('$args[2]'); ";
146 $try .= "$class\::bgcd(\$x, \$y";
147 $try .= ", \$z" if (defined $args[2]);
152 if (defined $args[2])
154 $try .= " \$z = $class->new('$args[2]'); ";
156 $try .= "$class\::blcm(\$x, \$y";
157 $try .= ", \$z" if (defined $args[2]);
159 }elsif ($f eq "blsft"){
160 if (defined $args[2])
162 $try .= "\$x->blsft(\$y,$args[2]);";
166 $try .= "\$x << \$y;";
168 }elsif ($f eq "brsft"){
169 if (defined $args[2])
171 $try .= "\$x->brsft(\$y,$args[2]);";
175 $try .= "\$x >> \$y;";
177 }elsif ($f eq "band"){
178 $try .= "\$x & \$y;";
179 }elsif ($f eq "bior"){
180 $try .= "\$x | \$y;";
181 }elsif ($f eq "bxor"){
182 $try .= "\$x ^ \$y;";
183 }elsif ($f eq "bpow"){
184 $try .= "\$x ** \$y;";
185 }elsif ($f eq "digit"){
186 $try = "\$x = $class->new('$args[0]'); \$x->digit($args[1]);";
187 } else { warn "Unknown op '$f'"; }
188 } # end else all other ops
191 # convert hex/binary targets to decimal
192 if ($ans =~ /^(0x0x|0b0b)/)
194 $ans =~ s/^0[xb]//; $ans = Math::BigInt->new($ans)->bstr();
202 # print "try: $try ans: $ans1 $ans\n";
203 print "# Tried: '$try'\n" if !ok ($ans1, $ans);
204 if ($expected_class ne $class)
206 ok (ref($ans1),$expected_class); # also checks that it really is ref!
207 ok ($Math::BigInt::upgrade,'Math::BigFloat'); # still okay?
210 # check internal state of number objects
211 is_valid($ans1,$f) if ref $ans1;
212 } # endwhile data tests
219 ###############################################################################
220 ###############################################################################
221 # Perl 5.005 does not like ok ($x,undef)
227 ok (1,1) and return if !defined $x;
231 ###############################################################################
232 # sub to check validity of a BigInt internally, to ensure that no op leaves a
233 # number object in an invalid state (f.i. "-0")
239 # The checks here are loosened a bit to allow BigInt or BigFloats to pass
243 # $e = "Not a reference to $c" if (ref($x) || '') ne $c;
246 $e = "Illegal sign $x->{sign} (expected: '+', '-', '-inf', '+inf' or 'NaN'"
247 if $e eq '0' && $x->{sign} !~ /^(\+|-|\+inf|-inf|NaN)$/;
249 $e = "-0 is invalid!" if $e ne '0' && $x->{sign} eq '-' && $x == 0;
250 #$e = $CALC->_check($x->{value}) if $e eq '0';
252 # test done, see if error did crop up
253 ok (1,1), return if ($e eq '0');
255 ok (1,$e." after op '$f'");
274 100:3:33.33333333333333333333333333333333333333
334 -123456789:+987654321:-1
335 +123456789:-987654321:-1
336 +987654321:+123456789:1
337 -987654321:+123456789:1
380 0b10000000000001:8193
381 0b100000000000001:16385
382 0b1000000000000001:32769
383 0b10000000000000001:65537
384 0b100000000000000001:131073
385 0b1000000000000000001:262145
386 0b10000000000000000001:524289
387 0b100000000000000000001:1048577
388 0b1000000000000000000001:2097153
389 0b10000000000000000000001:4194305
390 0b100000000000000000000001:8388609
391 0b1000000000000000000000001:16777217
392 0b10000000000000000000000001:33554433
393 0b100000000000000000000000001:67108865
394 0b1000000000000000000000000001:134217729
395 0b10000000000000000000000000001:268435457
396 0b100000000000000000000000000001:536870913
397 0b1000000000000000000000000000001:1073741825
398 0b10000000000000000000000000000001:2147483649
399 0b100000000000000000000000000000001:4294967297
400 0b1000000000000000000000000000000001:8589934593
401 0b10000000000000000000000000000000001:17179869185
413 0x1_2_3_4_56_78:305419896
414 0xa_b_c_d_e_f:11259375
443 0x40000001:1073741825
444 0x80000001:2147483649
445 0x100000001:4294967297
446 0x200000001:8589934593
447 0x400000001:17179869185
448 0x800000001:34359738369
462 # only one underscore between two digits
480 # bug with two E's in number beeing valid
493 01234567891:1234567891
494 012345678912:12345678912
495 0123456789123:123456789123
496 01234567891234:1234567891234
513 -123456789:-123456789
522 # floating point input
530 # non-integer numbers
565 # it must be exactly /^[+-]inf$/
572 +1:+48:281474976710656
575 +12345:4:10:123450000
581 1234567890123:12:10:1234567890123000000000000
586 +281474976710656:+48:1
597 1230000000000:10:10:123
598 09876123456789067890:12:10:9876123
599 1234561234567890123:13:10:123456
613 +123456789:-123456789
648 -123456789:987654321:-1
649 +123456789:-987654321:1
650 -987654321:123456789:-1
710 +99999999:+1:100000000
711 +999999999:+1:1000000000
712 +9999999999:+1:10000000000
713 +99999999999:+1:100000000000
721 +100000000:-1:99999999
722 +1000000000:-1:999999999
723 +10000000000:-1:9999999999
724 +123456789:987654321:1111111110
725 -123456789:987654321:864197532
726 -123456789:-987654321:-1111111110
727 +123456789:-987654321:-864197532
755 +99999999:+1:99999998
756 +999999999:+1:999999998
757 +9999999999:+1:9999999998
758 +99999999999:+1:99999999998
765 +10000000:-1:10000001
766 +100000000:-1:100000001
767 +1000000000:-1:1000000001
768 +10000000000:-1:10000000001
769 +123456789:+987654321:-864197532
770 -123456789:+987654321:-1111111110
771 -123456789:-987654321:864197532
772 +123456789:-987654321:1111111110
790 123456789123456789:0:0
791 0:123456789123456789:0
801 10101:10101:102030201
802 1001001:1001001:1002003002001
803 100010001:100010001:10002000300020001
804 10000100001:10000100001:100002000030000200001
805 11111111111:9:99999999999
806 22222222222:9:199999999998
807 33333333333:9:299999999997
808 44444444444:9:399999999996
809 55555555555:9:499999999995
810 66666666666:9:599999999994
811 77777777777:9:699999999993
812 88888888888:9:799999999992
813 99999999999:9:899999999991
815 +12345:+12345:152399025
816 +99999:+11111:1111088889
818 99999:100000:9999900000
819 999999:1000000:999999000000
820 9999999:10000000:99999990000000
821 99999999:100000000:9999999900000000
822 999999999:1000000000:999999999000000000
823 9999999999:10000000000:99999999990000000000
824 99999999999:100000000000:9999999999900000000000
825 999999999999:1000000000000:999999999999000000000000
826 9999999999999:10000000000000:99999999999990000000000000
827 99999999999999:100000000000000:9999999999999900000000000000
828 999999999999999:1000000000000000:999999999999999000000000000000
829 9999999999999999:10000000000000000:99999999999999990000000000000000
830 99999999999999999:100000000000000000:9999999999999999900000000000000000
831 999999999999999999:1000000000000000000:999999999999999999000000000000000000
832 9999999999999999999:10000000000000000000:99999999999999999990000000000000000000
844 # inf handling and general remainder
850 # see table in documentation in MBI
869 # exceptions to reminder rule
878 # inf handling (see table in doc)
912 1000000000:9:111111111.1111111111111111111111111111111^
913 2000000000:9:222222222.2222222222222222222222222222222^
914 3000000000:9:333333333.3333333333333333333333333333333^
915 4000000000:9:444444444.4444444444444444444444444444444^
916 5000000000:9:555555555.5555555555555555555555555555556^
917 6000000000:9:666666666.6666666666666666666666666666667^
918 7000000000:9:777777777.7777777777777777777777777777778^
919 8000000000:9:888888888.8888888888888888888888888888889^
920 9000000000:9:1000000000
921 35500000:113:314159.2920353982300884955752212389380531^
922 71000000:226:314159.2920353982300884955752212389380531^
923 106500000:339:314159.2920353982300884955752212389380531^
924 1000000000:3:333333333.3333333333333333333333333333333^
929 999999999999:9:111111111111
930 999999999999:99:10101010101
931 999999999999:999:1001001001
932 999999999999:9999:100010001
933 999999999999999:99999:10000100001
934 +1111088889:99999:11111
935 -5:-3:1.666666666666666666666666666666666666667^
936 -5:3:-1.666666666666666666666666666666666666667^
937 4:3:1.333333333333333333333333333333333333333^
938 4:-3:-1.333333333333333333333333333333333333333^
939 1:3:0.3333333333333333333333333333333333333333^
940 1:-3:-0.3333333333333333333333333333333333333333^
941 -2:-3:0.6666666666666666666666666666666666666667^
942 -2:3:-0.6666666666666666666666666666666666666667^
945 14:-3:-4.666666666666666666666666666666666666667^
946 -14:3:-4.666666666666666666666666666666666666667^
947 -14:-3:4.666666666666666666666666666666666666667^
948 14:3:4.666666666666666666666666666666666666667^
949 # bug in Calc with '99999' vs $BASE-1
950 #10000000000000000000000000000000000000000000000000000000000000000000000000000000000:10000000375084540248994272022843165711074:999999962491547381984643365663244474111576
953 # inf handling, see table in doc
972 # exceptions to reminder rule
1011 999999999999999:99999:0
1025 152403346:12345:4321
1059 +281474976710656:0:0
1060 +281474976710656:1:0
1061 +281474976710656:+281474976710656:281474976710656
1068 # equal arguments are treated special, so also do some test with unequal ones
1069 0xFFFF:0xFFFF:0x0xFFFF
1070 0xFFFFFF:0xFFFFFF:0x0xFFFFFF
1071 0xFFFFFFFF:0xFFFFFFFF:0x0xFFFFFFFF
1072 0xFFFFFFFFFF:0xFFFFFFFFFF:0x0xFFFFFFFFFF
1073 0xFFFFFFFFFFFF:0xFFFFFFFFFFFF:0x0xFFFFFFFFFFFF
1074 0xF0F0:0xF0F0:0x0xF0F0
1075 0x0F0F:0x0F0F:0x0x0F0F
1076 0xF0F0F0:0xF0F0F0:0x0xF0F0F0
1077 0x0F0F0F:0x0F0F0F:0x0x0F0F0F
1078 0xF0F0F0F0:0xF0F0F0F0:0x0xF0F0F0F0
1079 0x0F0F0F0F:0x0F0F0F0F:0x0x0F0F0F0F
1080 0xF0F0F0F0F0:0xF0F0F0F0F0:0x0xF0F0F0F0F0
1081 0x0F0F0F0F0F:0x0F0F0F0F0F:0x0x0F0F0F0F0F
1082 0xF0F0F0F0F0F0:0xF0F0F0F0F0F0:0x0xF0F0F0F0F0F0
1083 0x0F0F0F0F0F0F:0x0F0F0F0F0F0F:0x0x0F0F0F0F0F0F
1084 0x1F0F0F0F0F0F:0x3F0F0F0F0F0F:0x0x1F0F0F0F0F0F
1091 +281474976710656:0:281474976710656
1092 +281474976710656:1:281474976710657
1093 +281474976710656:281474976710656:281474976710656
1099 # equal arguments are treated special, so also do some test with unequal ones
1100 0xFFFF:0xFFFF:0x0xFFFF
1101 0xFFFFFF:0xFFFFFF:0x0xFFFFFF
1102 0xFFFFFFFF:0xFFFFFFFF:0x0xFFFFFFFF
1103 0xFFFFFFFFFF:0xFFFFFFFFFF:0x0xFFFFFFFFFF
1104 0xFFFFFFFFFFFF:0xFFFFFFFFFFFF:0x0xFFFFFFFFFFFF
1106 0:0xFFFFFF:0x0xFFFFFF
1107 0:0xFFFFFFFF:0x0xFFFFFFFF
1108 0:0xFFFFFFFFFF:0x0xFFFFFFFFFF
1109 0:0xFFFFFFFFFFFF:0x0xFFFFFFFFFFFF
1111 0xFFFFFF:0:0x0xFFFFFF
1112 0xFFFFFFFF:0:0x0xFFFFFFFF
1113 0xFFFFFFFFFF:0:0x0xFFFFFFFFFF
1114 0xFFFFFFFFFFFF:0:0x0xFFFFFFFFFFFF
1115 0xF0F0:0xF0F0:0x0xF0F0
1116 0x0F0F:0x0F0F:0x0x0F0F
1117 0xF0F0:0x0F0F:0x0xFFFF
1118 0xF0F0F0:0xF0F0F0:0x0xF0F0F0
1119 0x0F0F0F:0x0F0F0F:0x0x0F0F0F
1120 0x0F0F0F:0xF0F0F0:0x0xFFFFFF
1121 0xF0F0F0F0:0xF0F0F0F0:0x0xF0F0F0F0
1122 0x0F0F0F0F:0x0F0F0F0F:0x0x0F0F0F0F
1123 0x0F0F0F0F:0xF0F0F0F0:0x0xFFFFFFFF
1124 0xF0F0F0F0F0:0xF0F0F0F0F0:0x0xF0F0F0F0F0
1125 0x0F0F0F0F0F:0x0F0F0F0F0F:0x0x0F0F0F0F0F
1126 0x0F0F0F0F0F:0xF0F0F0F0F0:0x0xFFFFFFFFFF
1127 0xF0F0F0F0F0F0:0xF0F0F0F0F0F0:0x0xF0F0F0F0F0F0
1128 0x0F0F0F0F0F0F:0x0F0F0F0F0F0F:0x0x0F0F0F0F0F0F
1129 0x0F0F0F0F0F0F:0xF0F0F0F0F0F0:0x0xFFFFFFFFFFFF
1130 0x1F0F0F0F0F0F:0xF0F0F0F0F0F0:0x0xFFFFFFFFFFFF
1137 +281474976710656:0:281474976710656
1138 +281474976710656:1:281474976710657
1139 +281474976710656:281474976710656:0
1147 # equal arguments are treated special, so also do some test with unequal ones
1150 0xFFFFFFFF:0xFFFFFFFF:0
1151 0xFFFFFFFFFF:0xFFFFFFFFFF:0
1152 0xFFFFFFFFFFFF:0xFFFFFFFFFFFF:0
1154 0:0xFFFFFF:0x0xFFFFFF
1155 0:0xFFFFFFFF:0x0xFFFFFFFF
1156 0:0xFFFFFFFFFF:0x0xFFFFFFFFFF
1157 0:0xFFFFFFFFFFFF:0x0xFFFFFFFFFFFF
1159 0xFFFFFF:0:0x0xFFFFFF
1160 0xFFFFFFFF:0:0x0xFFFFFFFF
1161 0xFFFFFFFFFF:0:0x0xFFFFFFFFFF
1162 0xFFFFFFFFFFFF:0:0x0xFFFFFFFFFFFF
1165 0xF0F0:0x0F0F:0x0xFFFF
1168 0x0F0F0F:0xF0F0F0:0x0xFFFFFF
1169 0xF0F0F0F0:0xF0F0F0F0:0
1170 0x0F0F0F0F:0x0F0F0F0F:0
1171 0x0F0F0F0F:0xF0F0F0F0:0x0xFFFFFFFF
1172 0xF0F0F0F0F0:0xF0F0F0F0F0:0
1173 0x0F0F0F0F0F:0x0F0F0F0F0F:0
1174 0x0F0F0F0F0F:0xF0F0F0F0F0:0x0xFFFFFFFFFF
1175 0xF0F0F0F0F0F0:0xF0F0F0F0F0F0:0
1176 0x0F0F0F0F0F0F:0x0F0F0F0F0F0F:0
1177 0x0F0F0F0F0F0F:0xF0F0F0F0F0F0:0x0xFFFFFFFFFFFF
1182 +281474976710656:-281474976710657
1277 -inf:1234500012:-inf
1278 +inf:-12345000123:inf
1279 -inf:-12345000123:-inf
1280 # 1 ** -x => 1 / (1 ** x)
1300 10:20:100000000000000000000
1301 123456:2:15241383936
1309 10000000000000000:17
1311 215960156869840440586892398248:30
1313 145:12.04159457879229548012824103037860805243^
1315 143:11.95826074310139802112984075619561661399^
1317 170:13.03840481040529742916594311485836883306^
1319 168:12.96148139681572046193193487217599331541^
1321 3:1.732050807568877293527446341505872366943^
1322 2:1.41421356237309504880168872420969807857^
1324 12:3.464101615137754587054892683011744733886^
1327 4000000000000:2000000
1328 152399026:12345.00004050222755607815159966235881398^
1330 152399024:12344.99995949777231103967404745303741942^
1338 $round_mode('trunc')
1348 +10123456789:5:10123000000
1349 -10123456789:5:-10123000000
1350 +10123456789:9:10123456700
1351 -10123456789:9:-10123456700
1352 +101234500:6:101234000
1353 -101234500:6:-101234000
1354 #+101234500:-4:101234000
1355 #-101234500:-4:-101234000
1357 +20123456789:5:20123000000
1358 -20123456789:5:-20123000000
1359 +20123456789:9:20123456800
1360 -20123456789:9:-20123456800
1361 +201234500:6:201234000
1362 -201234500:6:-201234000
1363 #+201234500:-4:201234000
1364 #-201234500:-4:-201234000
1365 +12345000:4:12340000
1366 -12345000:4:-12340000
1368 +30123456789:5:30123000000
1369 -30123456789:5:-30123000000
1370 +30123456789:9:30123456800
1371 -30123456789:9:-30123456800
1372 +301234500:6:301235000
1373 -301234500:6:-301234000
1374 #+301234500:-4:301235000
1375 #-301234500:-4:-301234000
1376 +12345000:4:12350000
1377 -12345000:4:-12340000
1379 +40123456789:5:40123000000
1380 -40123456789:5:-40123000000
1381 +40123456789:9:40123456800
1382 -40123456789:9:-40123456800
1383 +401234500:6:401234000
1384 +401234500:6:401234000
1385 #-401234500:-4:-401235000
1386 #-401234500:-4:-401235000
1387 +12345000:4:12340000
1388 -12345000:4:-12350000
1390 +50123456789:5:50123000000
1391 -50123456789:5:-50123000000
1392 +50123456789:9:50123456800
1393 -50123456789:9:-50123456800
1394 +501234500:6:501235000
1395 -501234500:6:-501235000
1396 #+501234500:-4:501235000
1397 #-501234500:-4:-501235000
1398 +12345000:4:12350000
1399 -12345000:4:-12350000
1401 +60123456789:5:60123000000
1402 -60123456789:5:-60123000000
1403 +60123456789:9:60123456800
1404 -60123456789:9:-60123456800
1405 +601234500:6:601234000
1406 -601234500:6:-601234000
1407 #+601234500:-4:601234000
1408 #-601234500:-4:-601234000
1415 +12345000:4:12340000
1416 -12345000:4:-12340000
1434 # floor and ceil tests are pretty pointless in integer space...but play safe
1461 0x123456789123456789:0x123456789123456789
1471 0b1010111101010101010110110110110110101:0b1010111101010101010110110110110110101