%!PS

% begin included library code
% see https://github.com/Firedrake/postscript-libraries/
/test.end {
    ( ) print
    test.count 0 gt {
        (Passed ) print
        test.pass (...) cvs print
        (/) print
        test.count (...) cvs print
        ( \() print
        test.pass 100 mul test.count idiv (...) cvs print
        (%\)) print
        (\r\n) print
    } if
} bind def

/values { % dict -> array of dict values
    [ exch
      {
          exch pop
      } forall
    ]
} bind def

/reduce { % array proc -> value
    2 dict begin
    /p exch def
    /a exch def
    a 0 get
    1 1 a length 1 sub {
        a exch get
        p
    } for
    end
} bind def

/test {
    /test.count test.count 1 add def
    {
        /test.pass test.pass 1 add def
    } {
        ( ) print
        test.count (....) cvs print
        (-fail) print
    } ifelse
} bind def

/test.start {
    print (:) print
    /test.pass 0 def
    /test.count 0 def
} bind def

/keys { % dict -> array of dict keys
    [ exch
      {
          pop
      } forall
    ]
} bind def

/filter { % array proc(bool) -> array
    1 dict begin
    /p exch def
    [ exch
      {
          dup p not
          {
              pop
          } if
      } forall
    ]
    end
} bind def

/listmax {
    { max } reduce
} bind def

/deepeq {
    2 dict begin
    /a exch def
    /b exch def
    a type b type eq {
        a type /dicttype eq {
            a length b length eq {
                <<
                    a {
                        pop
                        true
                    } forall
                    b {
                        pop
                        true
                    } forall
                >>
                true exch
                {
                    pop
                    dup a exch known {
                        dup b exch known {
                            dup a exch get exch b exch get deepeq not {
                                pop false
                            } if
                        } {
                            false
                        } ifelse
                    } {
                        false
                    } ifelse
                } forall
            } {
                false
            } ifelse
        } {
            a type dup /arraytype eq exch /stringtype eq or {
                a length b length eq {
                    true
                    0 1 a length 1 sub {
                        dup a exch get exch b exch get deepeq not {
                            pop false
                            exit
                        } if
                    } for
                } {
                    false
                } ifelse
            } {
                a b eq
            } ifelse
        } ifelse
    } {
        false
    } ifelse
    end
} bind def


% end included library code

/arraydegree {
    10 dict begin
    /a exch def
    /f 0 dict def
    a {
        /x exch def
        f x known {
            f x f x get 1 add put
        } {
            f x 0 put
        } ifelse
    } forall
    /degree f values listmax def
    /inverse 0 dict def
    0 1 a length 1 sub {
        /i exch def
        /x a i get def
        inverse x known {
            inverse x inverse x get dup 1 i put put
        } {
            inverse x [ i i ] put
        } ifelse
    } for
    /minlen 1 a length add def
    /se [ 0 0 ] def
    f keys { f exch get degree eq } filter {
        /n exch def
        /ll 1 inverse n get 1 get add inverse n get 0 get sub def
        ll minlen lt {
            /minlen ll def
            /se [ inverse n get 0 get inverse n get 1 get ] def
        } if
    } forall
    a se 0 get se 1 get se 0 get sub 1 add getinterval
    end
} bind def

(arraydegree) test.start
[1 3 3 2] arraydegree [3 3] deepeq test
[1 2 1 3] arraydegree [1 2 1] deepeq test
[1 3 2 1 2] arraydegree [2 1 2] deepeq test
[1 1 2 3 2] arraydegree [1 1] deepeq test
[2 1 2 1 1] arraydegree [1 2 1 1] deepeq test
test.end