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Rename aks -> is_aks_prime and add some tests

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1 parent 6331861 commit de1927d7612155b0dbf5aae9d623dff1f104157e @leto committed May 27, 2010
Showing with 74 additions and 4 deletions.
  1. +4 −4 lib/Math/Primality/AKS.pm
  2. +70 −0 t/aks.t
@@ -25,7 +25,7 @@ Version 0.01
our $VERSION = '0.01';
$VERSION = eval $VERSION;
-our @EXPORT_OK = qw/aks/;
+our @EXPORT_OK = qw/is_aks_prime/;
our %EXPORT_TAGS = ( all => \@EXPORT_OK );
@@ -34,7 +34,7 @@ our %EXPORT_TAGS = ( all => \@EXPORT_OK );
use Math::Primality::AKS;
my $n = 123;
- print 'Prime!' if aks($n);
+ print 'Prime!' if is_aks_prime($n);
=head1 DESCRIPTION
@@ -52,7 +52,7 @@ sub debug {
}
}
-sub aks($) {
+sub is_aks_prime($) {
# http://ece.gmu.edu/courses/ECE746/project/F06_Project_resources/Salembier_Southerington_AKS.pdf
# http://islab.oregonstate.edu/koc/ece575/04Project2/Halim-Chanleudfa/Report.pdf
# http://fatphil.org/maths/AKS/
@@ -223,7 +223,7 @@ You can also look for information at:
=head1 COPYRIGHT & LICENSE
-Copyright 2009 Bob Kuo, all rights reserved.
+Copyright 2009-2010 Bob Kuo, all rights reserved.
This program is free software; you can redistribute it and/or modify it
under the same terms as Perl itself.
View
70 t/aks.t
@@ -42,3 +42,73 @@ my $max_a = Math::Primality::AKS::_calculate_max_a(Math::GMPz->new(797), Math::G
is("$max_a", "789", "max a of 10007 (with r of 797) should be 789");
$max_a = Math::Primality::AKS::_calculate_max_a(Math::GMPz->new(691), Math::GMPz->new(4099));
is("$max_a", "682", "max a of 4099 (with r of 691) should be 682");
+
+
+my $z = Math::GMPz->new(3);
+ok( is_aks_prime($z), "is_aks_prime should handle Math::GMPz objects, three is prime" );
+ok( is_aks_prime(2), '2 is prime');
+ok(!is_aks_prime(1), '1 is not prime');
+ok(!is_aks_prime(0), '0 is not prime');
+ok(!is_aks_prime(-1), '-1 is not prime');
+ok(!is_aks_prime(-2), '-2 is not prime');
+ok( !is_aks_prime(20), "20 is not prime");
+
+# powers of 2 are never prime
+for my $k (1..20) {
+ Rmpz_ui_pow_ui($z, 2, ++$k );
+ ok(!is_aks_prime($z), "2**$k=$z is not prime");
+}
+
+my @small_primes = qw/
+5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71
+73 79 83 89 97 101 103 107 109 113 127 131 137 139 149 151 157 163 167 173
+179 181 191 193 197 199 211 223 227 229 233 239 241 251 257 263 269 271 277 281
+283 293 307 311 313 317 331 337 347 349 353 359 367 373 379 383 389 397 401 409
+419 421 431 433 439 443 449 457 461 463 467 479 487 491 499 503 509 521 523 541
+547 557 563 569 571 577 587 593 599 601 607 613 617 619 631 641 643 647 653 659
+661 673 677 683 691 701 709 719 727 733 739 743 751 757 761 769 773 787 797 809
+811 821 823 827 829 839 853 857 859 863 877 881 883 887 907 911 919 929 937 941
+947 953 967 971 977 983 991 997 1009 1013 1019 1021 1031 1033 1039 1049 1051 1061 1063 1069
+1087 1091 1093 1097 1103 1109 1117 1123 1129 1151 1153 1163 1171 1181 1187 1193 1201 1213 1217 1223
+1229 1231 1237 1249 1259 1277 1279 1283 1289 1291 1297 1301 1303 1307 1319 1321 1327 1361 1367 1373
+1381 1399 1409 1423 1427 1429 1433 1439 1447 1451 1453 1459 1471 1481 1483 1487 1489 1493 1499 1511
+1523 1531 1543 1549 1553 1559 1567 1571 1579 1583 1597 1601 1607 1609 1613 1619 1621 1627 1637 1657
+1663 1667 1669 1693 1697 1699 1709 1721 1723 1733 1741 1747 1753 1759 1777 1783 1787 1789 1801 1811
+1823 1831 1847 1861 1867 1871 1873 1877 1879 1889 1901 1907 1913 1931 1933 1949 1951 1973 1979 1987
+1993 1997 1999 2003 2011 2017 2027 2029 2039 2053 2063 2069 2081 2083 2087 2089 2099 2111 2113 2129
+2131 2137 2141 2143 2153 2161 2179 2203 2207 2213 2221 2237 2239 2243 2251 2267 2269 2273 2281 2287
+2293 2297 2309 2311 2333 2339 2341 2347 2351 2357 2371 2377 2381 2383 2389 2393 2399 2411 2417 2423
+2437 2441 2447 2459 2467 2473 2477 2503 2521 2531 2539 2543 2549 2551 2557 2579 2591 2593 2609 2617
+2621 2633 2647 2657 2659 2663 2671 2677 2683 2687 2689 2693 2699 2707 2711 2713 2719 2729 2731 2741
+2749 2753 2767 2777 2789 2791 2797 2801 2803 2819 2833 2837 2843 2851 2857 2861 2879 2887 2897 2903
+2909 2917 2927 2939 2953 2957 2963 2969 2971 2999 3001 3011 3019 3023 3037 3041 3049 3061 3067 3079
+3083 3089 3109 3119 3121 3137 3163 3167 3169 3181 3187 3191 3203 3209 3217 3221 3229 3251 3253 3257
+3259 3271 3299 3301 3307 3313 3319 3323 3329 3331 3343 3347 3359 3361 3371 3373 3389 3391 3407 3413
+3433 3449 3457 3461 3463 3467 3469 3491 3499 3511 3517 3527 3529 3533 3539 3541 3547 3557 3559 3571
+/;
+
+map { ok(is_aks_prime($_), "$_ is an AKS prime") } @small_primes;
+
+my @carmichael = qw/561 1105 1729 2465 2821 6601 8911
+ 10585 15841 29341 41041 46657 52633
+ 62745 63973 75361 101101
+ 999838193331601
+ 999840927672001
+ 999851057445241
+ 999878556600001
+ 999885684921481
+ 999895175363161
+ 999902676805201
+ 999907821232321
+ 999919121100481
+ 999922265173441
+/;
+map { ok(!is_aks_prime($_), "Carmichael Number $_ is not an AKS prime") } @carmichael;
+
+# First 20 psp(2)'s
+map { ok(!is_aks_prime($_), "Pseudoprime (base 2) $_ is not an AKS prime" ) } qw/
+ 341 561 645 1105 1387 1729 1905 2047
+ 2465 2701 2821 3277 4033 4369 4371
+ 4681 5461 6601 7957 8321
+/;
+

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