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
215 my $warn = ''; $SIG{__WARN__} = sub { $warn = shift; };
217 # these should not warn
218 $warn = ''; eval "\$z = 3.17 <= \$y"; ok ($z, 1); ok ($warn, '');
219 $warn = ''; eval "\$z = \$y >= 3.17"; ok ($z, 1); ok ($warn, '');
225 ###############################################################################
226 ###############################################################################
227 # Perl 5.005 does not like ok ($x,undef)
233 ok (1,1) and return if !defined $x;
237 ###############################################################################
238 # sub to check validity of a BigInt internally, to ensure that no op leaves a
239 # number object in an invalid state (f.i. "-0")
245 # The checks here are loosened a bit to allow BigInt or BigFloats to pass
249 # $e = "Not a reference to $c" if (ref($x) || '') ne $c;
252 $e = "Illegal sign $x->{sign} (expected: '+', '-', '-inf', '+inf' or 'NaN'"
253 if $e eq '0' && $x->{sign} !~ /^(\+|-|\+inf|-inf|NaN)$/;
255 $e = "-0 is invalid!" if $e ne '0' && $x->{sign} eq '-' && $x == 0;
256 #$e = $CALC->_check($x->{value}) if $e eq '0';
258 # test done, see if error did crop up
259 ok (1,1), return if ($e eq '0');
261 ok (1,$e." after op '$f'");
280 100:3:33.33333333333333333333333333333333333333
340 -123456789:+987654321:-1
341 +123456789:-987654321:-1
342 +987654321:+123456789:1
343 -987654321:+123456789:1
386 0b10000000000001:8193
387 0b100000000000001:16385
388 0b1000000000000001:32769
389 0b10000000000000001:65537
390 0b100000000000000001:131073
391 0b1000000000000000001:262145
392 0b10000000000000000001:524289
393 0b100000000000000000001:1048577
394 0b1000000000000000000001:2097153
395 0b10000000000000000000001:4194305
396 0b100000000000000000000001:8388609
397 0b1000000000000000000000001:16777217
398 0b10000000000000000000000001:33554433
399 0b100000000000000000000000001:67108865
400 0b1000000000000000000000000001:134217729
401 0b10000000000000000000000000001:268435457
402 0b100000000000000000000000000001:536870913
403 0b1000000000000000000000000000001:1073741825
404 0b10000000000000000000000000000001:2147483649
405 0b100000000000000000000000000000001:4294967297
406 0b1000000000000000000000000000000001:8589934593
407 0b10000000000000000000000000000000001:17179869185
419 0x1_2_3_4_56_78:305419896
420 0xa_b_c_d_e_f:11259375
449 0x40000001:1073741825
450 0x80000001:2147483649
451 0x100000001:4294967297
452 0x200000001:8589934593
453 0x400000001:17179869185
454 0x800000001:34359738369
468 # only one underscore between two digits
486 # bug with two E's in number beeing valid
499 01234567891:1234567891
500 012345678912:12345678912
501 0123456789123:123456789123
502 01234567891234:1234567891234
519 -123456789:-123456789
528 # floating point input
536 # non-integer numbers
571 # it must be exactly /^[+-]inf$/
578 +1:+48:281474976710656
581 +12345:4:10:123450000
587 1234567890123:12:10:1234567890123000000000000
592 +281474976710656:+48:1
603 1230000000000:10:10:123
604 09876123456789067890:12:10:9876123
605 1234561234567890123:13:10:123456
619 +123456789:-123456789
654 -123456789:987654321:-1
655 +123456789:-987654321:1
656 -987654321:123456789:-1
716 +99999999:+1:100000000
717 +999999999:+1:1000000000
718 +9999999999:+1:10000000000
719 +99999999999:+1:100000000000
727 +100000000:-1:99999999
728 +1000000000:-1:999999999
729 +10000000000:-1:9999999999
730 +123456789:987654321:1111111110
731 -123456789:987654321:864197532
732 -123456789:-987654321:-1111111110
733 +123456789:-987654321:-864197532
761 +99999999:+1:99999998
762 +999999999:+1:999999998
763 +9999999999:+1:9999999998
764 +99999999999:+1:99999999998
771 +10000000:-1:10000001
772 +100000000:-1:100000001
773 +1000000000:-1:1000000001
774 +10000000000:-1:10000000001
775 +123456789:+987654321:-864197532
776 -123456789:+987654321:-1111111110
777 -123456789:-987654321:864197532
778 +123456789:-987654321:1111111110
796 123456789123456789:0:0
797 0:123456789123456789:0
807 10101:10101:102030201
808 1001001:1001001:1002003002001
809 100010001:100010001:10002000300020001
810 10000100001:10000100001:100002000030000200001
811 11111111111:9:99999999999
812 22222222222:9:199999999998
813 33333333333:9:299999999997
814 44444444444:9:399999999996
815 55555555555:9:499999999995
816 66666666666:9:599999999994
817 77777777777:9:699999999993
818 88888888888:9:799999999992
819 99999999999:9:899999999991
821 +12345:+12345:152399025
822 +99999:+11111:1111088889
824 99999:100000:9999900000
825 999999:1000000:999999000000
826 9999999:10000000:99999990000000
827 99999999:100000000:9999999900000000
828 999999999:1000000000:999999999000000000
829 9999999999:10000000000:99999999990000000000
830 99999999999:100000000000:9999999999900000000000
831 999999999999:1000000000000:999999999999000000000000
832 9999999999999:10000000000000:99999999999990000000000000
833 99999999999999:100000000000000:9999999999999900000000000000
834 999999999999999:1000000000000000:999999999999999000000000000000
835 9999999999999999:10000000000000000:99999999999999990000000000000000
836 99999999999999999:100000000000000000:9999999999999999900000000000000000
837 999999999999999999:1000000000000000000:999999999999999999000000000000000000
838 9999999999999999999:10000000000000000000:99999999999999999990000000000000000000
850 # inf handling and general remainder
856 # see table in documentation in MBI
875 # exceptions to reminder rule
884 # inf handling (see table in doc)
918 1000000000:9:111111111.1111111111111111111111111111111^
919 2000000000:9:222222222.2222222222222222222222222222222^
920 3000000000:9:333333333.3333333333333333333333333333333^
921 4000000000:9:444444444.4444444444444444444444444444444^
922 5000000000:9:555555555.5555555555555555555555555555556^
923 6000000000:9:666666666.6666666666666666666666666666667^
924 7000000000:9:777777777.7777777777777777777777777777778^
925 8000000000:9:888888888.8888888888888888888888888888889^
926 9000000000:9:1000000000
927 35500000:113:314159.2920353982300884955752212389380531^
928 71000000:226:314159.2920353982300884955752212389380531^
929 106500000:339:314159.2920353982300884955752212389380531^
930 1000000000:3:333333333.3333333333333333333333333333333^
935 999999999999:9:111111111111
936 999999999999:99:10101010101
937 999999999999:999:1001001001
938 999999999999:9999:100010001
939 999999999999999:99999:10000100001
940 +1111088889:99999:11111
941 -5:-3:1.666666666666666666666666666666666666667^
942 -5:3:-1.666666666666666666666666666666666666667^
943 4:3:1.333333333333333333333333333333333333333^
944 4:-3:-1.333333333333333333333333333333333333333^
945 1:3:0.3333333333333333333333333333333333333333^
946 1:-3:-0.3333333333333333333333333333333333333333^
947 -2:-3:0.6666666666666666666666666666666666666667^
948 -2:3:-0.6666666666666666666666666666666666666667^
951 14:-3:-4.666666666666666666666666666666666666667^
952 -14:3:-4.666666666666666666666666666666666666667^
953 -14:-3:4.666666666666666666666666666666666666667^
954 14:3:4.666666666666666666666666666666666666667^
955 # bug in Calc with '99999' vs $BASE-1
956 #10000000000000000000000000000000000000000000000000000000000000000000000000000000000:10000000375084540248994272022843165711074:999999962491547381984643365663244474111576
959 # inf handling, see table in doc
978 # exceptions to reminder rule
1017 999999999999999:99999:0
1031 152403346:12345:4321
1065 +281474976710656:0:0
1066 +281474976710656:1:0
1067 +281474976710656:+281474976710656:281474976710656
1074 # equal arguments are treated special, so also do some test with unequal ones
1075 0xFFFF:0xFFFF:0x0xFFFF
1076 0xFFFFFF:0xFFFFFF:0x0xFFFFFF
1077 0xFFFFFFFF:0xFFFFFFFF:0x0xFFFFFFFF
1078 0xFFFFFFFFFF:0xFFFFFFFFFF:0x0xFFFFFFFFFF
1079 0xFFFFFFFFFFFF:0xFFFFFFFFFFFF:0x0xFFFFFFFFFFFF
1080 0xF0F0:0xF0F0:0x0xF0F0
1081 0x0F0F:0x0F0F:0x0x0F0F
1082 0xF0F0F0:0xF0F0F0:0x0xF0F0F0
1083 0x0F0F0F:0x0F0F0F:0x0x0F0F0F
1084 0xF0F0F0F0:0xF0F0F0F0:0x0xF0F0F0F0
1085 0x0F0F0F0F:0x0F0F0F0F:0x0x0F0F0F0F
1086 0xF0F0F0F0F0:0xF0F0F0F0F0:0x0xF0F0F0F0F0
1087 0x0F0F0F0F0F:0x0F0F0F0F0F:0x0x0F0F0F0F0F
1088 0xF0F0F0F0F0F0:0xF0F0F0F0F0F0:0x0xF0F0F0F0F0F0
1089 0x0F0F0F0F0F0F:0x0F0F0F0F0F0F:0x0x0F0F0F0F0F0F
1090 0x1F0F0F0F0F0F:0x3F0F0F0F0F0F:0x0x1F0F0F0F0F0F
1097 +281474976710656:0:281474976710656
1098 +281474976710656:1:281474976710657
1099 +281474976710656:281474976710656:281474976710656
1105 # equal arguments are treated special, so also do some test with unequal ones
1106 0xFFFF:0xFFFF:0x0xFFFF
1107 0xFFFFFF:0xFFFFFF:0x0xFFFFFF
1108 0xFFFFFFFF:0xFFFFFFFF:0x0xFFFFFFFF
1109 0xFFFFFFFFFF:0xFFFFFFFFFF:0x0xFFFFFFFFFF
1110 0xFFFFFFFFFFFF:0xFFFFFFFFFFFF:0x0xFFFFFFFFFFFF
1112 0:0xFFFFFF:0x0xFFFFFF
1113 0:0xFFFFFFFF:0x0xFFFFFFFF
1114 0:0xFFFFFFFFFF:0x0xFFFFFFFFFF
1115 0:0xFFFFFFFFFFFF:0x0xFFFFFFFFFFFF
1117 0xFFFFFF:0:0x0xFFFFFF
1118 0xFFFFFFFF:0:0x0xFFFFFFFF
1119 0xFFFFFFFFFF:0:0x0xFFFFFFFFFF
1120 0xFFFFFFFFFFFF:0:0x0xFFFFFFFFFFFF
1121 0xF0F0:0xF0F0:0x0xF0F0
1122 0x0F0F:0x0F0F:0x0x0F0F
1123 0xF0F0:0x0F0F:0x0xFFFF
1124 0xF0F0F0:0xF0F0F0:0x0xF0F0F0
1125 0x0F0F0F:0x0F0F0F:0x0x0F0F0F
1126 0x0F0F0F:0xF0F0F0:0x0xFFFFFF
1127 0xF0F0F0F0:0xF0F0F0F0:0x0xF0F0F0F0
1128 0x0F0F0F0F:0x0F0F0F0F:0x0x0F0F0F0F
1129 0x0F0F0F0F:0xF0F0F0F0:0x0xFFFFFFFF
1130 0xF0F0F0F0F0:0xF0F0F0F0F0:0x0xF0F0F0F0F0
1131 0x0F0F0F0F0F:0x0F0F0F0F0F:0x0x0F0F0F0F0F
1132 0x0F0F0F0F0F:0xF0F0F0F0F0:0x0xFFFFFFFFFF
1133 0xF0F0F0F0F0F0:0xF0F0F0F0F0F0:0x0xF0F0F0F0F0F0
1134 0x0F0F0F0F0F0F:0x0F0F0F0F0F0F:0x0x0F0F0F0F0F0F
1135 0x0F0F0F0F0F0F:0xF0F0F0F0F0F0:0x0xFFFFFFFFFFFF
1136 0x1F0F0F0F0F0F:0xF0F0F0F0F0F0:0x0xFFFFFFFFFFFF
1143 +281474976710656:0:281474976710656
1144 +281474976710656:1:281474976710657
1145 +281474976710656:281474976710656:0
1153 # equal arguments are treated special, so also do some test with unequal ones
1156 0xFFFFFFFF:0xFFFFFFFF:0
1157 0xFFFFFFFFFF:0xFFFFFFFFFF:0
1158 0xFFFFFFFFFFFF:0xFFFFFFFFFFFF:0
1160 0:0xFFFFFF:0x0xFFFFFF
1161 0:0xFFFFFFFF:0x0xFFFFFFFF
1162 0:0xFFFFFFFFFF:0x0xFFFFFFFFFF
1163 0:0xFFFFFFFFFFFF:0x0xFFFFFFFFFFFF
1165 0xFFFFFF:0:0x0xFFFFFF
1166 0xFFFFFFFF:0:0x0xFFFFFFFF
1167 0xFFFFFFFFFF:0:0x0xFFFFFFFFFF
1168 0xFFFFFFFFFFFF:0:0x0xFFFFFFFFFFFF
1171 0xF0F0:0x0F0F:0x0xFFFF
1174 0x0F0F0F:0xF0F0F0:0x0xFFFFFF
1175 0xF0F0F0F0:0xF0F0F0F0:0
1176 0x0F0F0F0F:0x0F0F0F0F:0
1177 0x0F0F0F0F:0xF0F0F0F0:0x0xFFFFFFFF
1178 0xF0F0F0F0F0:0xF0F0F0F0F0:0
1179 0x0F0F0F0F0F:0x0F0F0F0F0F:0
1180 0x0F0F0F0F0F:0xF0F0F0F0F0:0x0xFFFFFFFFFF
1181 0xF0F0F0F0F0F0:0xF0F0F0F0F0F0:0
1182 0x0F0F0F0F0F0F:0x0F0F0F0F0F0F:0
1183 0x0F0F0F0F0F0F:0xF0F0F0F0F0F0:0x0xFFFFFFFFFFFF
1188 +281474976710656:-281474976710657
1283 -inf:1234500012:-inf
1284 +inf:-12345000123:inf
1285 -inf:-12345000123:-inf
1286 # 1 ** -x => 1 / (1 ** x)
1306 10:20:100000000000000000000
1307 123456:2:15241383936
1315 10000000000000000:17
1317 215960156869840440586892398248:30
1319 145:12.04159457879229548012824103037860805243^
1321 143:11.95826074310139802112984075619561661399^
1323 170:13.03840481040529742916594311485836883306^
1325 168:12.96148139681572046193193487217599331541^
1327 3:1.732050807568877293527446341505872366943^
1328 2:1.41421356237309504880168872420969807857^
1330 12:3.464101615137754587054892683011744733886^
1333 4000000000000:2000000
1334 152399026:12345.00004050222755607815159966235881398^
1336 152399024:12344.99995949777231103967404745303741942^
1344 $round_mode('trunc')
1354 +10123456789:5:10123000000
1355 -10123456789:5:-10123000000
1356 +10123456789:9:10123456700
1357 -10123456789:9:-10123456700
1358 +101234500:6:101234000
1359 -101234500:6:-101234000
1360 #+101234500:-4:101234000
1361 #-101234500:-4:-101234000
1363 +20123456789:5:20123000000
1364 -20123456789:5:-20123000000
1365 +20123456789:9:20123456800
1366 -20123456789:9:-20123456800
1367 +201234500:6:201234000
1368 -201234500:6:-201234000
1369 #+201234500:-4:201234000
1370 #-201234500:-4:-201234000
1371 +12345000:4:12340000
1372 -12345000:4:-12340000
1374 +30123456789:5:30123000000
1375 -30123456789:5:-30123000000
1376 +30123456789:9:30123456800
1377 -30123456789:9:-30123456800
1378 +301234500:6:301235000
1379 -301234500:6:-301234000
1380 #+301234500:-4:301235000
1381 #-301234500:-4:-301234000
1382 +12345000:4:12350000
1383 -12345000:4:-12340000
1385 +40123456789:5:40123000000
1386 -40123456789:5:-40123000000
1387 +40123456789:9:40123456800
1388 -40123456789:9:-40123456800
1389 +401234500:6:401234000
1390 +401234500:6:401234000
1391 #-401234500:-4:-401235000
1392 #-401234500:-4:-401235000
1393 +12345000:4:12340000
1394 -12345000:4:-12350000
1396 +50123456789:5:50123000000
1397 -50123456789:5:-50123000000
1398 +50123456789:9:50123456800
1399 -50123456789:9:-50123456800
1400 +501234500:6:501235000
1401 -501234500:6:-501235000
1402 #+501234500:-4:501235000
1403 #-501234500:-4:-501235000
1404 +12345000:4:12350000
1405 -12345000:4:-12350000
1407 +60123456789:5:60123000000
1408 -60123456789:5:-60123000000
1409 +60123456789:9:60123456800
1410 -60123456789:9:-60123456800
1411 +601234500:6:601234000
1412 -601234500:6:-601234000
1413 #+601234500:-4:601234000
1414 #-601234500:-4:-601234000
1421 +12345000:4:12340000
1422 -12345000:4:-12340000
1440 # floor and ceil tests are pretty pointless in integer space...but play safe
1467 0x123456789123456789:0x123456789123456789
1477 0b1010111101010101010110110110110110101:0b1010111101010101010110110110110110101