use Config qw( %Config );
use List::Util qw( max );
my $max = max( ~0+1, eval( $Config{ nv_overflows_integers_at } ) );
####
[+/-]1._____..._____ * 2**____
##
##
__52 bits__
/ \
1.00000...00000 * 2**53 Large power of two
+ 1.00000...00000 * 2**0 1
--------------------------
1.00000...00000 * 2**53
+ 0.00000...000001 * 2**53 Normalized exponents
--------------------------
1.00000...000001 * 2**53 But we have limited number of bits
--------------------------
1.00000...00000 * 2**53 Original large power of two
##
##
$ perl -MB=svref_2object,SVf_IVisUV,SVf_NOK -e'
$i = 0;
$sv = svref_2object(\$i);
print $sv->FLAGS & SVf_NOK ? "NV\n" # Float
: $sv->FLAGS & SVf_IVisUV ? "UV\n" # Unsigned int
: "IV\n"; # Signed int
'
IV
##
##
$ perl -MConfig -MB=svref_2object,SVf_IVisUV,SVf_NOK -e'
$i = hex("7F".("FF"x($Config{ivsize}-2))."FD");
$sv = svref_2object(\$i);
for (1..4) {
++$i;
printf $sv->FLAGS & SVf_NOK ? "NV %.0f\n"
: $sv->FLAGS & SVf_IVisUV ? "UV %u\n"
: "IV %d\n", $i;
}
'
IV 2147483646
IV 2147483647 <-- 2**31 - 1 Largest IV
UV 2147483648
UV 2147483649
##
##
IV 9223372036854775806
IV 9223372036854775807 <-- 2**63 - 1 Largest IV
UV 9223372036854775808
UV 9223372036854775809
##
##
$ perl -V:[in]vsize
ivsize='4'; # 32-bit integers
nvsize='8'; # 64-bit floats
##
##
$ perl -V:[in]vsize
ivsize='8'; # 64-bit integers
nvsize='8'; # 64-bit floats
##
##
$ perl -MConfig -MB=svref_2object,SVf_IVisUV,SVf_NOK -e'
$i = eval($Config{nv_overflows_integers_at}) - 3;
$sv = svref_2object(\$i);
for (1..4) {
++$i;
printf $sv->FLAGS & SVf_NOK ? "NV %.0f\n"
: $sv->FLAGS & SVf_IVisUV ? "UV %u\n"
: "IV %d\n", $i;
}
'
NV 9007199254740990
NV 9007199254740991 Precision required as a float:
NV 9007199254740992 <-- 2**53 1 bit
NV 9007199254740992 <-- 2**53 + 1 54 bits, but only 53 are available
##
##
$ perl -MConfig -MB=svref_2object,SVf_IVisUV,SVf_NOK -e'
$i = hex(("FF"x($Config{ivsize}-1))."FD");
$sv = svref_2object(\$i);
for (1..4) {
++$i;
printf $sv->FLAGS & SVf_NOK ? "NV %.0f\n"
: $sv->FLAGS & SVf_IVisUV ? "UV %u\n"
: "IV %d\n", $i;
}
'
UV 18446744073709551614
UV 18446744073709551615 <-- 2**64 - 1 Largest UV
NV 18446744073709551616 <-- 2**64 1 bit of precision required
NV 18446744073709551616 <-- 2**64 + 1 65, but only 53 are available