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January 12, 2018 06:11
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Knuth Arrow custom operators in Perl 6
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| #!/Applications/Rakudo/bin/perl6 | |
| use Test; | |
| multi infix:<↑> ( Int:D \n, Int:D \m --> Int:D ) | |
| is equiv(&infix:<**>) | |
| is assoc<right> | |
| { n ** m } | |
| proto infix:<↑↑> ( Int:D \n, Int:D \m --> Int:D ) | |
| is tighter(&infix:<↑>) | |
| is assoc<right> | |
| { * } | |
| multi infix:<↑↑> ( \n, 0 ) { 1 } | |
| multi infix:<↑↑> ( \n, 1 ) { n } | |
| multi infix:<↑↑> ( \n, \m ) { [↑] n xx m } | |
| proto infix:<↑↑↑> ( Int:D \n, Int:D \m --> Int:D ) | |
| is tighter(&infix:<↑↑>) | |
| is assoc<right> | |
| { * } | |
| multi infix:<↑↑↑> ( \n, 0 ) { 1 } | |
| multi infix:<↑↑↑> ( \n, 1 ) { n } | |
| multi infix:<↑↑↑> ( \n, \m ) { [↑↑] n xx m } | |
| multi infix:<↑⁰> ( Int:D \n, Int:D \m --> Int:D ) is assoc<right> { 1 } | |
| multi infix:<↑²> ( Int:D \n, 0 --> Int:D ) is assoc<right> { 1 } | |
| multi infix:<↑²> ( Int:D \n, Int:D \m --> Int:D ) is assoc<right> { | |
| [↑] n xx m | |
| } | |
| multi infix:<↑³> ( Int:D \n, 0 --> Int:D ) is assoc<right> { 1 } | |
| multi infix:<↑³> ( Int:D \n, Int:D \m --> Int:D ) is assoc<right> { | |
| [↑↑] n xx m | |
| } | |
| # tetration notation | |
| multi prefix:<⁰> ( Int:D \m --> Int:D ) { 1 } | |
| multi prefix:<²> ( Int:D \m --> Int:D ) { m ↑↑ 2 } | |
| multi prefix:<³> ( Int:D \m --> Int:D ) { m ↑↑ 3 } | |
| multi prefix:<⁴> ( Int:D \m --> Int:D ) { m ↑↑ 4 } | |
| # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # | |
| # Now a bunch of tests | |
| is 2↑0, 1, '2↑0 == 1'; | |
| is 2↑1, 2, '2↑1 == 2'; | |
| is 2↑2, 4, '2↑2 == 4'; | |
| is 2↑3, 8, '2↑3 == 8'; | |
| is 2↑4, 16, '2↑4 == 16'; | |
| is 2↑2↑2, 16, '2↑2↑2 == 16'; | |
| is 2↑2↑2↑2, 65536, '2↑2↑2↑2 == 65536'; | |
| is 2↑⁰0, 1, '2↑⁰0 == 1'; | |
| is 2↑2↑2, 16, '2↑2↑2 == 16'; | |
| is 2↑2↑2↑2, 65536, '2↑2↑2↑2 == 65536'; | |
| is 2↑↑0, 1, '2↑↑0 == 1'; | |
| is 2↑↑1, 2, '2↑↑1 == 2'; | |
| is 2↑↑2, 4, '2↑↑2 == 4'; | |
| is 2↑↑3, 16, '2↑↑3 == 16'; | |
| is 2↑↑4, 65536, '2↑↑4 == 65536'; | |
| is ²2, 2↑↑2, '²2 == 4'; | |
| is 2↑²4, 65536, '2↑²4 == 65536'; | |
| is ⁴2, 2↑↑4, '⁴2 == 65536'; | |
| is (2↑↑2)↑↑2, 4↑↑2, '(2↑↑2)↑↑2 == 4↑↑2'; | |
| is ²(²2), (2↑↑2)↑↑2, '²(²2) == 256'; | |
| is 3↑↑2, 27, '3↑↑2 == 27'; | |
| is 3↑²2, 27, '3↑²2 == 27'; | |
| is ²3, 27, '²3 == 27'; | |
| is 3↑↑3, 7625597484987, '3↑↑3 == 7625597484987'; | |
| is 3↑²3, 7625597484987, '3↑²3 == 7625597484987'; | |
| is ³3, 7625597484987, '³3 == 7625597484987'; | |
| is 4↑↑3, 13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096, | |
| '4↑↑3 == 1.34078e154'; | |
| is 4↑²3, 13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096, | |
| '4↑²3 == 1.34078e154'; | |
| is 2↑↑↑3, 65536, '2↑↑↑3 == 65536'; | |
| is 2↑³3, 65536, '2↑³3 == 65536'; |
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