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+%%% -*- erlang-indent-level: 2 -*-
+%%%-------------------------------------------------------------------
+%%% Author: Kostis Sagonas
+%%%
+%%% A test for list handling created using the 'random' module.
+%%%-------------------------------------------------------------------
+-module(basic_random).
+
+-export([test/0]).
+
+%% It can be used as a benchmark by playing with the following defines
+-define(N, 1000).
+-define(Iter, 500).
+
+test() ->
+ ok = random(?N).
+
+random(N) ->
+ random(N, ?Iter).
+
+random(N, Iter) ->
+ random:seed(1, 2, 3),
+ t(ranlist(N, [], N*100), Iter).
+
+ranlist(0, L, _N) -> L;
+ranlist(N, L, N0) -> ranlist(N-1, [random:uniform(N0)+300 | L], N0).
+
+t(_, 0) -> ok;
+t(L, Iter) ->
+ %% io:format("Sort starting~n"),
+ sort(L),
+ t(L, Iter-1).
+
+sort([X, Y | L]) when X =< Y ->
+ split_1(X, Y, L, [], []);
+sort([X, Y | L]) ->
+ split_2(X, Y, L, [], []);
+sort(L) ->
+ L.
+
+%% Ascending.
+split_1(X, Y, [Z | L], R, Rs) when Z >= Y ->
+ split_1(Y, Z, L, [X | R], Rs);
+split_1(X, Y, [Z | L], R, Rs) when Z >= X ->
+ split_1(Z, Y, L, [X | R], Rs);
+split_1(X, Y, [Z | L], [], Rs) ->
+ split_1(X, Y, L, [Z], Rs);
+split_1(X, Y, [Z | L], R, Rs) ->
+ split_1_1(X, Y, L, R, Rs, Z);
+split_1(X, Y, [], R, Rs) ->
+ rmergel([[Y, X | R] | Rs], []).
+
+%% One out-of-order element, S.
+split_1_1(X, Y, [Z | L], R, Rs, S) when Z >= Y ->
+ split_1_1(Y, Z, L, [X | R], Rs, S);
+split_1_1(X, Y, [Z | L], R, Rs, S) when Z >= X ->
+ split_1_1(Z, Y, L, [X | R], Rs, S);
+split_1_1(X, Y, [Z | L], R, Rs, S) when S =< Z ->
+ split_1(S, Z, L, [], [[Y, X | R] | Rs]);
+split_1_1(X, Y, [Z | L], R, Rs, S) ->
+ split_1(Z, S, L, [], [[Y, X | R] | Rs]);
+split_1_1(X, Y, [], R, Rs, S) ->
+ rmergel([[S], [Y, X | R] | Rs], []).
+
+%% Descending.
+split_2(X, Y, [Z | L], R, Rs) when Z =< Y ->
+ split_2(Y, Z, L, [X | R], Rs);
+split_2(X, Y, [Z | L], R, Rs) when Z =< X ->
+ split_2(Z, Y, L, [X | R], Rs);
+split_2(X, Y, [Z | L], [], Rs) ->
+ split_2(X, Y, L, [Z], Rs);
+split_2(X, Y, [Z | L], R, Rs) ->
+ split_2_1(X, Y, L, R, Rs, Z);
+split_2(X, Y, [], R, Rs) ->
+ mergel([[Y, X | R] | Rs], []).
+
+split_2_1(X, Y, [Z | L], R, Rs, S) when Z =< Y ->
+ split_2_1(Y, Z, L, [X | R], Rs, S);
+split_2_1(X, Y, [Z | L], R, Rs, S) when Z =< X ->
+ split_2_1(Z, Y, L, [X | R], Rs, S);
+split_2_1(X, Y, [Z | L], R, Rs, S) when S > Z ->
+ split_2(S, Z, L, [], [[Y, X | R] | Rs]);
+split_2_1(X, Y, [Z | L], R, Rs, S) ->
+ split_2(Z, S, L, [], [[Y, X | R] | Rs]);
+split_2_1(X, Y, [], R, Rs, S) ->
+ mergel([[S], [Y, X | R] | Rs], []).
+
+mergel([[] | L], Acc) ->
+ mergel(L, Acc);
+mergel([A, [H2 | T2], [H3 | T3] | L], Acc) ->
+ mergel(L, [merge3_1(A, [], H2, T2, H3, T3) | Acc]);
+mergel([A, [H | T]], Acc) ->
+ rmergel([merge2_1(A, H, T, []) | Acc], []);
+mergel([L], []) ->
+ L;
+mergel([L], Acc) ->
+ rmergel([lists:reverse(L, []) | Acc], []);
+mergel([], []) ->
+ [];
+mergel([], Acc) ->
+ rmergel(Acc, []);
+mergel([A, [] | L], Acc) ->
+ mergel([A | L], Acc);
+mergel([A, B, [] | L], Acc) ->
+ mergel([A, B | L], Acc).
+
+rmergel([A, [H2 | T2], [H3 | T3] | L], Acc) ->
+ rmergel(L, [rmerge3_1(A, [], H2, T2, H3, T3) | Acc]);
+rmergel([A, [H | T]], Acc) ->
+ mergel([rmerge2_1(A, H, T, []) | Acc], []);
+rmergel([L], Acc) ->
+ mergel([lists:reverse(L, []) | Acc], []);
+rmergel([], Acc) ->
+ mergel(Acc, []).
+
+%% Take L1 apart.
+merge3_1([H1 | T1], M, H2, T2, H3, T3) when H1 =< H2 ->
+ merge3_12(T1, H1, H2, T2, H3, T3, M);
+merge3_1([H1 | T1], M, H2, T2, H3, T3) ->
+ merge3_21(T1, H1, H2, T2, H3, T3, M);
+merge3_1(_nil, M, H2, T2, H3, T3) when H2 =< H3 ->
+ merge2_1(T2, H3, T3, [H2 | M]);
+merge3_1(_nil, M, H2, T2, H3, T3) ->
+ merge2_1(T3, H2, T2, [H3 | M]).
+
+%% Take L2 apart.
+merge3_2(T1, H1, M, [H2 | T2], H3, T3) when H1 =< H2 ->
+ merge3_12(T1, H1, H2, T2, H3, T3, M);
+merge3_2(T1, H1, M, [H2 | T2], H3, T3) ->
+ merge3_21(T1, H1, H2, T2, H3, T3, M);
+merge3_2(T1, H1, M, _nil, H3, T3) when H1 =< H3 ->
+ merge2_1(T1, H3, T3, [H1 | M]);
+merge3_2(T1, H1, M, _nil, H3, T3) ->
+ merge2_1(T3, H1, T1, [H3 | M]).
+
+%% H1 <= H2. Inlined.
+merge3_12(T1, H1, H2, T2, H3, T3, M) when H3 < H1 ->
+ merge3_12_3(T1, H1, H2, T2, [H3 | M], T3);
+merge3_12(T1, H1, H2, T2, H3, T3, M) ->
+ merge3_1(T1, [H1 | M], H2, T2, H3, T3).
+
+%% H1 <= H2, take L3 apart.
+merge3_12_3(T1, H1, H2, T2, M, [H3 | T3]) when H3 < H1 ->
+ merge3_12_3(T1, H1, H2, T2, [H3 | M], T3);
+merge3_12_3(T1, H1, H2, T2, M, [H3 | T3]) ->
+ merge3_1(T1, [H1 | M], H2, T2, H3, T3);
+merge3_12_3(T1, H1, H2, T2, M, _nil) ->
+ merge2_1(T1, H2, T2, [H1 | M]).
+
+%% H1 > H2. Inlined.
+merge3_21(T1, H1, H2, T2, H3, T3, M) when H3 < H2 ->
+ merge3_21_3(T1, H1, H2, T2, [H3 | M], T3);
+merge3_21(T1, H1, H2, T2, H3, T3, M) ->
+ merge3_2(T1, H1, [H2 | M], T2, H3, T3).
+
+%% H1 > H2, take L3 apart.
+merge3_21_3(T1, H1, H2, T2, M, [H3 | T3]) when H3 < H2 ->
+ merge3_21_3(T1, H1, H2, T2, [H3 | M], T3);
+merge3_21_3(T1, H1, H2, T2, M, [H3 | T3]) ->
+ merge3_2(T1, H1, [H2 | M], T2, H3, T3);
+merge3_21_3(T1, H1, H2, T2, M, _nil) ->
+ merge2_1(T2, H1, T1, [H2 | M]).
+
+%% Take L1 apart.
+rmerge3_1([H1 | T1], M, H2, T2, H3, T3) when H1 > H2 ->
+ rmerge3_12(T1, H1, H2, T2, H3, T3, M);
+rmerge3_1([H1 | T1], M, H2, T2, H3, T3) ->
+ rmerge3_21(T1, H1, H2, T2, H3, T3, M);
+rmerge3_1(_nil, M, H2, T2, H3, T3) when H2 > H3 ->
+ rmerge2_1(T2, H3, T3, [H2 | M]);
+rmerge3_1(_nil, M, H2, T2, H3, T3) ->
+ rmerge2_1(T3, H2, T2, [H3 | M]).
+
+%% Take L2 apart.
+rmerge3_2(T1, H1, M, [H2 | T2], H3, T3) when H1 > H2 ->
+ rmerge3_12(T1, H1, H2, T2, H3, T3, M);
+rmerge3_2(T1, H1, M, [H2 | T2], H3, T3) ->
+ rmerge3_21(T1, H1, H2, T2, H3, T3, M);
+rmerge3_2(T1, H1, M, _nil, H3, T3) when H1 > H3 ->
+ rmerge2_1(T1, H3, T3, [H1 | M]);
+rmerge3_2(T1, H1, M, _nil, H3, T3) ->
+ rmerge2_1(T3, H1, T1, [H3 | M]).
+
+%% H1 > H2. Inlined.
+rmerge3_12(T1, H1, H2, T2, H3, T3, M) when H3 >= H1 ->
+ rmerge3_12_3(T1, H1, H2, T2, [H3 | M], T3);
+rmerge3_12(T1, H1, H2, T2, H3, T3, M) ->
+ rmerge3_1(T1, [H1 | M], H2, T2, H3, T3).
+
+%% H1 > H2, take L3 apart.
+rmerge3_12_3(T1, H1, H2, T2, M, [H3 | T3]) when H3 >= H1 ->
+ rmerge3_12_3(T1, H1, H2, T2, [H3 | M], T3);
+rmerge3_12_3(T1, H1, H2, T2, M, [H3 | T3]) ->
+ rmerge3_1(T1, [H1 | M], H2, T2, H3, T3);
+rmerge3_12_3(T1, H1, H2, T2, M, _nil) ->
+ rmerge2_1(T1, H2, T2, [H1 | M]).
+
+%% H1 =< H2. Inlined.
+rmerge3_21(T1, H1, H2, T2, H3, T3, M) when H3 >= H2 ->
+ rmerge3_21_3(T1, H1, H2, T2, [H3 | M], T3);
+rmerge3_21(T1, H1, H2, T2, H3, T3, M) ->
+ rmerge3_2(T1, H1, [H2 | M], T2, H3, T3).
+
+%% H1 =< H2, take L3 apart.
+rmerge3_21_3(T1, H1, H2, T2, M, [H3 | T3]) when H3 >= H2 ->
+ rmerge3_21_3(T1, H1, H2, T2, [H3 | M], T3);
+rmerge3_21_3(T1, H1, H2, T2, M, [H3 | T3]) ->
+ rmerge3_2(T1, H1, [H2 | M], T2, H3, T3);
+rmerge3_21_3(T1, H1, H2, T2, M, _nil) ->
+ rmerge2_1(T2, H1, T1, [H2 | M]).
+
+merge2_1([H1 | T1], H2, T2, M) when H2 < H1 ->
+ merge2_2(T1, H1, T2, [H2 | M]);
+merge2_1([H1 | T1], H2, T2, M) ->
+ merge2_1(T1, H2, T2, [H1 | M]);
+merge2_1(_nil, H2, T2, M) ->
+ lists:reverse(T2, [H2 | M]).
+
+merge2_2(T1, H1, [H2 | T2], M) when H1 < H2 ->
+ merge2_1(T1, H2, T2, [H1 | M]);
+merge2_2(T1, H1, [H2 | T2], M) ->
+ merge2_2(T1, H1, T2, [H2 | M]);
+merge2_2(T1, H1, _nil, M) ->
+ lists:reverse(T1, [H1 | M]).
+
+rmerge2_1([H1 | T1], H2, T2, M) when H2 >= H1 ->
+ rmerge2_2(T1, H1, T2, [H2 | M]);
+rmerge2_1([H1 | T1], H2, T2, M) ->
+ rmerge2_1(T1, H2, T2, [H1 | M]);
+rmerge2_1(_nil, H2, T2, M) ->
+ lists:reverse(T2, [H2 | M]).
+
+rmerge2_2(T1, H1, [H2 | T2], M) when H1 >= H2 ->
+ rmerge2_1(T1, H2, T2, [H1 | M]);
+rmerge2_2(T1, H1, [H2 | T2], M) ->
+ rmerge2_2(T1, H1, T2, [H2 | M]);
+rmerge2_2(T1, H1, _nil, M) ->
+ lists:reverse(T1, [H1 | M]).