| line |
true |
false |
branch |
|
18
|
0 |
4 |
unless (defined $Math::BigInt::VERSION) |
|
47
|
0 |
0 |
unless &is_prob_prime($n) |
|
72
|
0 |
1 |
if not defined $n or $n < 2 |
|
73
|
0 |
1 |
if $n < 4 |
|
74
|
0 |
1 |
if &is_strong_pseudoprime($n, 2, 15, 325) == 0 |
|
91
|
0 |
1 |
unless Math::BigInt::bgcd($ap, $n) == 1 |
|
93
|
0 |
1 |
unless $ap->copy->bmodpow($nm1, $n) == 1 |
|
96
|
0 |
1 |
if scalar grep({$_ == 1;} map({$ap->copy->bmodpow(int $nm1 / $_, $n);} @factors)) > 0 |
|
102
|
0 |
4 |
if ($isp != 2) |
|
106
|
0 |
4 |
if $f > $_smallval |
|
122
|
0 |
6 |
if not defined $n or $n < 2 |
|
123
|
0 |
6 |
if $n < 4 |
|
124
|
0 |
6 |
if ($n & 1) == 0 |
|
125
|
0 |
6 |
if &is_strong_pseudoprime($n, 2, 15, 325) == 0 |
|
128
|
2 |
4 |
unless ref $n eq "Math::BigInt" |
|
135
|
0 |
6 |
unless $nm1->is_even |
|
139
|
0 |
6 |
if ($B <= $_maxint and prime_get_config()->{'xs'}) { } |
|
141
|
0 |
0 |
if $tf[-1] > 20000 |
|
144
|
5 |
1 |
if $tf[-1] > 5000 |
|
147
|
6 |
24 |
if $f == $factors[-1] |
|
154
|
1 |
5 |
if ($B->is_one) { } |
|
|
4 |
1 |
elsif (&is_prob_prime($B)) { } |
|
165
|
0 |
1 |
if $n < $fpart |
|
169
|
1 |
0 |
if ref $m eq "Math::BigInt" and $m <= $_maxint |
|
174
|
1 |
0 |
if scalar @ftry >= 2 |
|
177
|
0 |
1 |
unless scalar @ftry > 1 |
|
180
|
0 |
2 |
if $f == 1 or $f == $m or not $B->copy->bmod($f)->is_zero |
|
181
|
2 |
0 |
if (&is_prob_prime($f)) { } |
|
202
|
0 |
6 |
if $n >= $fpart |
|
204
|
0 |
6 |
unless $A * $B == $nm1 |
|
205
|
0 |
6 |
unless $A->is_even |
|
206
|
0 |
6 |
unless Math::BigInt::bgcd($A, $B)->is_one |
|
210
|
0 |
6 |
if $s != 0 and $rtestroot * $rtestroot == $rtest |
|
219
|
6 |
30 |
if ($qnum == 0) { } |
|
220
|
0 |
6 |
unless $f == 2 |
|
227
|
0 |
47 |
unless $ap->copy->bmodpow($nm1, $n)->is_one |
|
228
|
11 |
36 |
unless Math::BigInt::bgcd($ap->copy->bmodpow($nm1_div_f, $n)->bdec, $n)->is_one |
|
229
|
9 |
27 |
unless $a == 2 |
|
234
|
0 |
36 |
unless $success |
|
236
|
0 |
36 |
if ($isp != 2) |
|
240
|
0 |
36 |
if $f > $_smallval |
|
257
|
0 |
52 |
if scalar @$pdata == 0 |
|
259
|
3 |
49 |
if (length $n == 1) |
|
260
|
1 |
2 |
if $n =~ /^[2357]$/ |
|
263
|
49 |
0 |
if ref $n ne "Math::BigInt" |
|
264
|
1 |
48 |
if $n->is_even |
|
266
|
45 |
3 |
scalar @$pdata > 0 ? : |
|
268
|
3 |
45 |
if ($method eq "BPSW") |
|
269
|
1 |
2 |
if $n > $_smallval |
|
270
|
2 |
0 |
if &is_prob_prime($n) != 2 |
|
274
|
15 |
30 |
if ($method eq "Pratt" or $method eq "Lucas") |
|
275
|
0 |
12 |
if (scalar @$pdata != 2 or ref $pdata->[0] ne "ARRAY" or ref $pdata->[1] eq "ARRAY") |
|
283
|
4 |
45 |
ref $factors[$i] eq 'ARRAY' ? : |
|
289
|
4 |
45 |
if (ref $farray eq "ARRAY") |
|
295
|
16 |
14 |
if ($method eq "n-1") |
|
296
|
0 |
1 |
if (scalar @$pdata == 3 and ref $pdata->[0] eq "ARRAY" and $pdata->[0][0] =~ /^(B|T7|Theorem\s*7)$/i) |
|
299
|
2 |
13 |
if (scalar @$pdata != 2 or ref $pdata->[0] ne "ARRAY" or ref $pdata->[1] ne "ARRAY") |
|
305
|
1 |
12 |
if (scalar @factors != scalar @as) |
|
311
|
3 |
35 |
ref $factors[$i] eq 'ARRAY' ? : |
|
312
|
0 |
38 |
if ($f == 2) |
|
317
|
1 |
11 |
unless $factors[0] == 2 |
|
320
|
3 |
32 |
ref $factors[$i] eq 'ARRAY' ? : |
|
324
|
7 |
39 |
if $as[$i] != 2 |
|
328
|
3 |
43 |
if (ref $farray eq "ARRAY") |
|
334
|
13 |
1 |
if ($method eq "ECPP" or $method eq "AGKM") |
|
335
|
1 |
12 |
if (scalar @$pdata < 1) |
|
342
|
2 |
17 |
if (ref $block ne "ARRAY" or scalar @$block != 6) |
|
347
|
1 |
16 |
if ("Math::BigInt"->new("$ni") != "Math::BigInt"->new("$q")) |
|
351
|
1 |
15 |
ref $qval eq 'ARRAY' ? : |
|
352
|
2 |
14 |
if (ref $P ne "ARRAY" or scalar @$P != 2) |
|
358
|
1 |
13 |
if (ref $qval eq "ARRAY") |
|
373
|
43 |
2 |
if scalar @pdata == 1 and ref $pdata[0] eq "ARRAY" |
|
375
|
1 |
44 |
if scalar @pdata == 0 |
|
381
|
19 |
25 |
if $cert eq "" |
|
391
|
0 |
0 |
if prime_get_config()->{'verbose'} |
|
396
|
0 |
19 |
if prime_get_config()->{'verbose'} |
|
407
|
0 |
162 |
unless defined $line |
|
409
|
0 |
162 |
if $line =~ /^\s*#/ or $line =~ /^\s*$/ |
|
411
|
0 |
162 |
if $line =~ /^Type / |
|
412
|
162 |
0 |
if ($line =~ /^(\S+)\s+(-?\d+)/) { } |
|
415
|
0 |
162 |
unless defined $vars{$var} |
|
430
|
4 |
0 |
if (ref $n eq 'Math::BigInt') { } |
|
432
|
2 |
0 |
if ($mc == 0 or $mc == 1 or $mc == 4 or $mc == 9 or $mc == 16 or $mc == 17 or $mc == 25) |
|
435
|
0 |
4 |
if $sq == $n |
|
439
|
0 |
0 |
if ($mc == 0 or $mc == 1 or $mc == 4 or $mc == 9 or $mc == 16 or $mc == 17 or $mc == 25) |
|
441
|
0 |
0 |
if $sq * $sq == $n |
|
451
|
0 |
1 |
if $m <= 0 or $m % 2 == 0 |
|
453
|
1 |
0 |
if ($n < 0) |
|
455
|
0 |
1 |
if $m % 4 == 3 |
|
458
|
1 |
0 |
if ($n != 0) |
|
461
|
3 |
0 |
if $m % 8 == 3 or $m % 8 == 5 |
|
464
|
0 |
1 |
if $n % 4 == 3 and $m % 4 == 3 |
|
466
|
1 |
0 |
if ref $n eq "Math::BigInt" and $n <= $_maxint |
|
467
|
1 |
0 |
if ref $m eq "Math::BigInt" and $m <= $_maxint |
|
472
|
0 |
0 |
if $m % 8 == 3 or $m % 8 == 5 |
|
475
|
0 |
0 |
if $n % 4 == 3 and $m % 4 == 3 |
|
478
|
1 |
0 |
$m == 1 ? : |
|
512
|
0 |
125 |
unless defined $line |
|
514
|
0 |
125 |
if $line =~ /^\s*#/ or $line =~ /^\s*$/ |
|
516
|
15 |
110 |
if $line =~ /^-/ |
|
518
|
15 |
95 |
if ($line =~ /^N\s+(\d+)/) { } |
|
|
64 |
31 |
elsif ($line =~ /^Q\[(\d+)\]\s+(\d+)/) { } |
|
|
31 |
0 |
elsif ($line =~ /^A\[(\d+)\]\s+(\d+)/) { } |
|
519
|
0 |
15 |
if defined $n |
|
523
|
0 |
64 |
unless $1 == $index |
|
526
|
0 |
31 |
unless $1 >= 0 and $1 <= $index |
|
542
|
0 |
67 |
unless defined $line |
|
544
|
0 |
67 |
if $line =~ /^\s*#/ or $line =~ /^\s*$/ |
|
546
|
11 |
56 |
if ($line =~ /^N\s+(\d+)/) { } |
|
|
45 |
11 |
elsif ($line =~ /^Q\[(\d+)\]\s+(\d+)/) { } |
|
|
11 |
0 |
elsif ($line =~ /^A\s+(\d+)/) { } |
|
547
|
0 |
11 |
if defined $n |
|
551
|
0 |
45 |
unless $1 == $index |
|
567
|
0 |
14 |
unless defined $n |
|
568
|
0 |
14 |
if $a < 0 |
|
569
|
0 |
14 |
if $b < 0 |
|
570
|
0 |
14 |
unless $n > 0 |
|
571
|
1 |
13 |
unless Math::BigInt::bgcd($n, 6) == 1 |
|
572
|
1 |
12 |
unless Math::BigInt::bgcd(4 * $a * $a * $a + 27 * $b * $b, $n) == 1 |
|
574
|
0 |
12 |
unless $y * $y % $n == ($x * $x * $x + $a * $x + $b) % $n |
|
576
|
1 |
11 |
unless $m >= $n + 1 - $n->copy->bmul(4)->bsqrt |
|
577
|
0 |
11 |
unless $m <= $n + 1 + $n->copy->bmul(4)->bsqrt |
|
578
|
1 |
10 |
unless $q > $n->copy->broot(4)->badd(1)->bpow(2) |
|
579
|
0 |
10 |
unless $q < $n |
|
580
|
0 |
10 |
unless $m != $q |
|
582
|
1 |
9 |
unless $rem == 0 |
|
586
|
0 |
9 |
if (prime_get_config()->{'gmp'} and defined &Math::Prime::Util::GMP::_validate_ecpp_curve) { } |
|
589
|
1 |
8 |
unless (defined $Math::Prime::Util::ECAffinePoint::VERSION) |
|
591
|
0 |
1 |
unless (eval {
do {
require Math::Prime::Util::ECAffinePoint;
1
}
}) |
|
596
|
9 |
0 |
unless ($ECP->is_infinity) |
|
599
|
9 |
0 |
if $ECP->is_infinity |
|
602
|
0 |
9 |
unless $correct_point |
|
607
|
0 |
1 |
unless defined $n |
|
608
|
0 |
1 |
unless abs $a <= $n / 2 |
|
609
|
0 |
1 |
unless abs $b <= $n / 2 |
|
610
|
0 |
1 |
unless $t >= 0 |
|
611
|
0 |
1 |
unless $t < $n |
|
623
|
0 |
0 |
unless defined $n |
|
624
|
0 |
0 |
unless abs $j <= $n / 2 |
|
625
|
0 |
0 |
unless $t >= 0 |
|
626
|
0 |
0 |
unless $t < $n |
|
641
|
0 |
1 |
unless defined $n |
|
642
|
0 |
1 |
unless $q->is_odd |
|
643
|
0 |
1 |
unless $q > 2 |
|
645
|
0 |
1 |
unless $rem == 0 |
|
646
|
0 |
1 |
unless $m * $q - 1 == $n |
|
647
|
0 |
1 |
unless $m > 0 |
|
648
|
0 |
1 |
unless 2 * $q - 1 > $n->copy->bsqrt |
|
650
|
0 |
1 |
unless $D != 0 |
|
651
|
0 |
1 |
unless _jacobi($D, $n) == -1 |
|
652
|
0 |
1 |
unless &lucasvmod($lp, $lq, $m / 2, $n) != 0 |
|
654
|
0 |
1 |
unless &lucasvmod($lp, $lq, ($n + 1) / 2, $n) == 0 |
|
661
|
0 |
3 |
unless defined $n |
|
662
|
0 |
3 |
unless $q->is_odd |
|
663
|
0 |
3 |
unless $q > 2 |
|
665
|
0 |
3 |
unless $rem == 0 |
|
666
|
0 |
3 |
unless $m * $q + 1 == $n |
|
667
|
0 |
3 |
unless $m > 0 |
|
668
|
0 |
3 |
unless 2 * $q + 1 > $n->copy->bsqrt |
|
669
|
0 |
3 |
unless $a->copy->bmodpow(($n - 1) / 2, $n) == $n - 1 |
|
670
|
0 |
3 |
unless $a->copy->bmodpow($m / 2, $n) != $n - 1 |
|
675
|
0 |
3 |
unless defined $n |
|
677
|
0 |
3 |
unless $rem == 0 |
|
678
|
0 |
3 |
unless $m->is_even |
|
679
|
0 |
3 |
unless $m > 0 |
|
680
|
0 |
3 |
unless $m < $q |
|
681
|
0 |
3 |
unless $m * $q + 1 == $n |
|
682
|
0 |
3 |
unless $a > 1 |
|
683
|
0 |
3 |
unless $a->copy->bmodpow($n - 1, $n) == 1 |
|
685
|
0 |
3 |
unless Math::BigInt::bgcd($a->copy->bmodpow($m, $n) - 1, $n) == 1 |
|
691
|
0 |
3 |
unless defined $n |
|
692
|
0 |
3 |
if $n > $_smallval |
|
693
|
0 |
3 |
unless &is_prob_prime($n) |
|
699
|
0 |
15 |
unless defined $n |
|
707
|
0 |
76 |
unless defined $Q[$i] |
|
708
|
45 |
31 |
unless defined $A[$i] |
|
709
|
0 |
76 |
unless $Q[$i] > 1 |
|
710
|
0 |
76 |
unless $Q[$i] < $nm1 |
|
711
|
0 |
76 |
unless $A[$i] > 1 |
|
712
|
0 |
76 |
unless $A[$i] < $n |
|
713
|
1 |
75 |
unless $nm1 % $Q[$i] == 0 |
|
719
|
0 |
14 |
unless $R == $nm1 / $F |
|
720
|
0 |
14 |
unless $F->is_even |
|
721
|
0 |
14 |
unless Math::BigInt::bgcd($F, $R) == 1 |
|
724
|
2 |
12 |
unless $n < $P |
|
725
|
0 |
12 |
unless $s == 0 or not _is_perfect_square($r * $r - 8 * $s) |
|
730
|
0 |
67 |
unless $a->copy->bmodpow($nm1, $n)->is_one |
|
732
|
1 |
66 |
unless Math::BigInt::bgcd($a->copy->bmodpow($nm1 / $q, $n)->bdec, $n)->is_one |
|
740
|
0 |
11 |
unless defined $n |
|
743
|
0 |
11 |
unless $a > 1 |
|
744
|
1 |
10 |
unless $a < $n |
|
748
|
0 |
10 |
unless $a->copy->bmodpow($nm1, $n) == 1 |
|
751
|
0 |
26 |
unless defined $Q[$i] |
|
752
|
0 |
26 |
unless $Q[$i] > 1 |
|
753
|
0 |
26 |
unless $Q[$i] < $nm1 |
|
754
|
3 |
23 |
unless $nm1 % $Q[$i] == 0 |
|
755
|
1 |
22 |
unless $a->copy->bmodpow($nm1 / $Q[$i], $n) != 1 |
|
762
|
1 |
5 |
unless $R == 1 and $F == $nm1 |
|
768
|
58 |
2 |
@_ == 1 ? : |
|
769
|
43 |
17 |
if ref $cert eq "ARRAY" |
|
770
|
20 |
40 |
if $cert eq "" |
|
792
|
91 |
170 |
if $line =~ /^\s*#/ or $line =~ /^\s*$/ |
|
794
|
40 |
130 |
if ($line =~ /^\[(\S+) - Primality Certificate\]/) |
|
795
|
0 |
40 |
if ($1 ne "MPU") |
|
801
|
40 |
90 |
if ($cert_type eq "PRIMO" and $line =~ /^\[Candidate\]/ or $cert_type eq "MPU" and $line =~ /^Proof for:/) |
|
802
|
0 |
40 |
if defined $N |
|
804
|
2 |
38 |
unless (&is_prob_prime($N)) |
|
810
|
0 |
90 |
if ($line =~ /^Base (\d+)/) |
|
812
|
0 |
0 |
unless $base == 10 |
|
815
|
50 |
40 |
if ($line =~ /^Type (.*?)\s*$/) |
|
816
|
0 |
50 |
unless defined $N |
|
819
|
0 |
50 |
unless defined $proof_funcs{$type} |
|
821
|
15 |
35 |
unless defined $n |
|
826
|
0 |
23 |
unless defined $N |
|
831
|
86 |
31 |
if (not defined $parts{$q}) { } |
|
832
|
0 |
86 |
if ($q > $_smallval) |
|
836
|
2 |
84 |
unless (&is_prob_prime($q)) |
|
841
|
0 |
31 |
if ref $parts{$q} ne "ARRAY" |