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flp20-log.pl
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983 lines (943 loc) · 28.2 KB
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% FLP 2019/2020
% Logicky projekt
% Rubikova kocka
% Author: Andrej Nano (xnanoa00)
% ------------------- INPUT PARSING -------------------
/** cte radky ze standardniho vstupu, konci na LF nebo EOF */
read_line(L,C) :-
get_char(C),
(isEOFEOL(C), L = [], !;
read_line(LL,_),% atom_codes(C,[Cd]),
[C|LL] = L).
/** testuje znak na EOF nebo LF */
isEOFEOL(C) :-
C == end_of_file;
(char_code(C,Code), Code==10).
read_lines(Ls) :-
read_line(L,C),
( C == end_of_file, Ls = [] ;
read_lines(LLs), Ls = [L|LLs]
).
/** rozdeli radek na podseznamy */
split_line([],[[]]) :- !.
split_line([' '|T], [[]|S1]) :- !, split_line(T,S1).
split_line([32|T], [[]|S1]) :- !, split_line(T,S1). % aby to fungovalo i s retezcem na miste seznamu
split_line([H|T], [[H|G]|S1]) :- split_line(T,[G|S1]). % G je prvni seznam ze seznamu seznamu G|S1
/** vstupem je seznam radku (kazdy radek je seznam znaku) */
split_lines([],[]).
split_lines([L|Ls],[H|T]) :- split_lines(Ls,T), split_line(L,H).
% ------------------- Rubik's cube parsing and internal representation -------------------
% parse cube into internal representation as individual cubeletes /2
parse_cubeletes(
[
[[U18, U19, U20]], % -- Layer 1
[[U10, U11, U12]], % -- Layer 2
[[ U1, U2, U3]], % -- Layer 3 ...
[[ F1, F2, F3], [ R3, R12, R20], [B20, B19, B18], [L18, L10, L1]],
[[ F4, F5, F6], [ R6, R14, R23], [B23, B22, B21], [L21, L13, L4]],
[[ F7, F8, F9], [ R9, R17, R26], [B26, B25, B24], [L24, L15, L7]],
[[ D7, D8, D9]],
[[D15, D16, D17]],
[[D24, D25, D26]]
],
[
[U1, F1, L1], % 1 U,F,L corner
[U2, F2], % 2 U,F edge
[U3, F3, R3], % 3 U,F,R corner
[F4, L4], % 4 F,L edge
[F5], % 5 F center
[F6, R6], % 6 F,R edge
[F7, L7, D7], % 7 F,L,D corner
[F8, D8], % 8 F,D edge
[F9, R9, D9], % 9 F,R,D corner
[U10, L10], % 10 U,L edge
[U11], % 11 U center
[U12, R12], % 12 U,R edge
[L13], % 13 L center
[R14], % 14 R center
[L15, D15], % 15 L,D edge
[D16], % 16 D center
[R17, D17], % 17 R,D edge
[U18, B18, L18], % 18 U,B,L corner
[U19, B19], % 19 U,B edge
[U20, R20, B20], % 20 U,R,B corner
[B21, L21], % 21 B,L edge
[B22], % 21 B center
[R23, B23], % 23 R,B edge
[B24, L24, D24], % 24 B,L,D corner
[B25, D25], % 25 B,D edge
[R26, B26, D26] % 26 R,B,D corner
]
).
% convert between internal cubeletes representation into the readable flat format /2
cubeletes_to_print_format(
[
[U1, F1, L1], % 1 U,F,L corner
[U2, F2], % 2 U,F edge
[U3, F3, R3], % 3 U,F,R corner
[F4, L4], % 4 F,L edge
[F5], % 5 F center
[F6, R6], % 6 F,R edge
[F7, L7, D7], % 7 F,L,D corner
[F8, D8], % 8 F,D edge
[F9, R9, D9], % 9 F,R,D corner
[U10, L10], % 10 U,L edge
[U11], % 11 U center
[U12, R12], % 12 U,R edge
[L13], % 13 L center
[R14], % 14 R center
[L15, D15], % 15 L,D edge
[D16], % 16 D center
[R17, D17], % 17 R,D edge
[U18, B18, L18], % 18 U,B,L corner
[U19, B19], % 19 U,B edge
[U20, R20, B20], % 20 U,R,B corner
[B21, L21], % 21 B,L edge
[B22], % 21 B center
[R23, B23], % 23 R,B edge
[B24, L24, D24], % 24 B,L,D corner
[B25, D25], % 25 B,D edge
[R26, B26, D26] % 26 R,B,D corner
],
[
[U18, U19, U20],
[U10, U11, U12],
[U1, U2, U3],
[[F1, F2, F3], [R3, R12, R20], [B20, B19, B18], [L18, L10, L1]],
[[F4, F5, F6], [R6, R14, R23], [B23, B22, B21], [L21, L13, L4]],
[[F7, F8, F9], [R9, R17, R26], [B26, B25, B24], [L24, L15, L7]],
[D7, D8, D9],
[D15, D16, D17],
[D24, D25, D26]
]
).
% print numbers in a list as a sequence without any whitespace or other symbols /2
print_row([]).
print_row([Tile | Rest]) :- write(Tile), print_row(Rest).
% print whole cube /1
print_cube([U1, U2, U3, [F1, R1, B1, L1], [F2, R2, B2, L2], [F3, R3, B3, L3], D1, D2, D3]) :-
print_row(U1), nl,
print_row(U2), nl,
print_row(U3), nl,
print_row(F1), write(' '), print_row(R1), write(' '), print_row(B1), write(' '), print_row(L1), nl,
print_row(F2), write(' '), print_row(R2), write(' '), print_row(B2), write(' '), print_row(L2), nl,
print_row(F3), write(' '), print_row(R3), write(' '), print_row(B3), write(' '), print_row(L3), nl,
print_row(D1), nl,
print_row(D2), nl,
print_row(D3), nl.
% ------ TYPES OF MOVEMENT (ROTATIONS) ----
% Right Face Rotation (Clockwise) /2
rf_ror(
[
[U1, F1, L1], % 1 U,F,L corner
[U2, F2], % 2 U,F edge
[U3, F3, R3], % 3 U,F,R corner
[F4, L4], % 4 F,L edge
[F5], % 5 F center
[F6, R6], % 6 F,R edge
[F7, L7, D7], % 7 F,L,D corner
[F8, D8], % 8 F,D edge
[F9, R9, D9], % 9 F,R,D corner
[U10, L10], % 10 U,L edge
[U11], % 11 U center
[U12, R12], % 12 U,R edge
[L13], % 13 L center
[R14], % 14 R center
[L15, D15], % 15 L,D edge
[D16], % 16 D center
[R17, D17], % 17 R,D edge
[U18, B18, L18], % 18 U,B,L corner
[U19, B19], % 19 U,B edge
[U20, R20, B20], % 20 U,R,B corner
[B21, L21], % 21 B,L edge
[B22], % 21 B center
[R23, B23], % 23 R,B edge
[B24, L24, D24], % 24 B,L,D corner
[B25, D25], % 25 B,D edge
[R26, B26, D26] % 26 R,B,D corner
],
[
% Change [3, 6, 9, 12, 14, 17, 20, 23, 26]
[U1, F1, L1],
[U2, F2],
[F9, D9, R9], % *
[F4, L4],
[F5],
[D17, R17], % *
[F7, L7, D7],
[F8, D8],
[D26, R26, B26], % *
[U10, L10],
[U11],
[F6, R6], % *
[L13],
[R14], % * [stays fixed]
[L15, D15],
[D16],
[R23, B23], % *
[U18, B18, L18],
[U19, B19],
[F3, R3, U3], % *
[B21, L21],
[B22],
[R12, U12], % *
[B24, L24, D24],
[B25, D25],
[R20, U20, B20] % *
]
).
% Right Face Reverse Rotation (Anticlockwise) /2
rf_rol(
[
[U1, F1, L1], % 1 U,F,L corner
[U2, F2], % 2 U,F edge
[U3, F3, R3], % 3 U,F,R corner
[F4, L4], % 4 F,L edge
[F5], % 5 F center
[F6, R6], % 6 F,R edge
[F7, L7, D7], % 7 F,L,D corner
[F8, D8], % 8 F,D edge
[F9, R9, D9], % 9 F,R,D corner
[U10, L10], % 10 U,L edge
[U11], % 11 U center
[U12, R12], % 12 U,R edge
[L13], % 13 L center
[R14], % 14 R center
[L15, D15], % 15 L,D edge
[D16], % 16 D center
[R17, D17], % 17 R,D edge
[U18, B18, L18], % 18 U,B,L corner
[U19, B19], % 19 U,B edge
[U20, R20, B20], % 20 U,R,B corner
[B21, L21], % 21 B,L edge
[B22], % 21 B center
[R23, B23], % 23 R,B edge
[B24, L24, D24], % 24 B,L,D corner
[B25, D25], % 25 B,D edge
[R26, B26, D26] % 26 R,B,D corner
],
[
% Change [3, 6, 9, 12, 14, 17, 20, 23, 26]
[U1, F1, L1],
[U2, F2],
[B20, U20, R20],
[F4, L4],
[F5], % F center
[U12, R12],
[F7, L7, D7],
[F8, D8],
[U3, R3, F3],
[U10, L10],
[U11], % U center
[B23, R23],
[L13], % L center
[R14], % R center (stays fixed)
[L15, D15],
[D16], % D center
[R6, F6],
[U18, B18, L18],
[U19, B19],
[B26, R26, D26],
[B21, L21],
[B22], % B center
[R17, D17],
[B24, L24, D24],
[B25, D25],
[R9, D9, F9]
]
).
% Left Face Rotation (Clockwise) /2
lf_ror(
[
[U1, F1, L1], % 1 U,F,L corner
[U2, F2], % 2 U,F edge
[U3, F3, R3], % 3 U,F,R corner
[F4, L4], % 4 F,L edge
[F5], % 5 F center
[F6, R6], % 6 F,R edge
[F7, L7, D7], % 7 F,L,D corner
[F8, D8], % 8 F,D edge
[F9, R9, D9], % 9 F,R,D corner
[U10, L10], % 10 U,L edge
[U11], % 11 U center
[U12, R12], % 12 U,R edge
[L13], % 13 L center
[R14], % 14 R center
[L15, D15], % 15 L,D edge
[D16], % 16 D center
[R17, D17], % 17 R,D edge
[U18, B18, L18], % 18 U,B,L corner
[U19, B19], % 19 U,B edge
[U20, R20, B20], % 20 U,R,B corner
[B21, L21], % 21 B,L edge
[B22], % 21 B center
[R23, B23], % 23 R,B edge
[B24, L24, D24], % 24 B,L,D corner
[B25, D25], % 25 B,D edge
[R26, B26, D26] % 26 R,B,D corner
],
[
% Change [1, 4, 7, 10, 13, 15, 18, 21, 24]
[B18, U18, L18],
[U2, F2],
[U3, F3, R3],
[U10, L10],
[F5], % F center
[F6, R6],
[U1, L1, F1],
[F8, D8],
[F9, R9, D9],
[B21, L21],
[U11], % U center
[U12, R12],
[L13], % L center (stays fixed)
[R14], % R center
[L4, F4],
[D16], % D center
[R17, D17],
[B24, D24, L24],
[U19, B19],
[U20, R20, B20],
[D15, L15],
[B22], % B center
[R23, B23],
[D7, L7, F7],
[B25, D25],
[R26, B26, D26]
]
).
% Left Face Reverse Rotation (Anticlockwise) /2
lf_rol(
[
[U1, F1, L1], % 1 U,F,L corner
[U2, F2], % 2 U,F edge
[U3, F3, R3], % 3 U,F,R corner
[F4, L4], % 4 F,L edge
[F5], % 5 F center
[F6, R6], % 6 F,R edge
[F7, L7, D7], % 7 F,L,D corner
[F8, D8], % 8 F,D edge
[F9, R9, D9], % 9 F,R,D corner
[U10, L10], % 10 U,L edge
[U11], % 11 U center
[U12, R12], % 12 U,R edge
[L13], % 13 L center
[R14], % 14 R center
[L15, D15], % 15 L,D edge
[D16], % 16 D center
[R17, D17], % 17 R,D edge
[U18, B18, L18], % 18 U,B,L corner
[U19, B19], % 19 U,B edge
[U20, R20, B20], % 20 U,R,B corner
[B21, L21], % 21 B,L edge
[B22], % 21 B center
[R23, B23], % 23 R,B edge
[B24, L24, D24], % 24 B,L,D corner
[B25, D25], % 25 B,D edge
[R26, B26, D26] % 26 R,B,D corner
],
[
% Change [1, 4, 7, 10, 13, 15, 18, 21, 24]
[F7, D7, L7],
[U2, F2],
[U3, F3, R3],
[D15, L15],
[F5], % F center
[F6, R6],
[D24, L24, B24],
[F8, D8],
[F9, R9, D9],
[F4, L4],
[U11], % U center
[U12, R12],
[L13], % L center (stays fixed)
[R14], % R center
[L21, B21],
[D16], % D center
[R17, D17],
[F1, U1, L1],
[U19, B19],
[U20, R20, B20],
[U10, L10],
[B22], % B center
[R23, B23],
[U18, L18, B18],
[B25, D25],
[R26, B26, D26]
]
).
% Up Face Rotation (Clockwise) /2
uf_ror(
[
[U1, F1, L1], % 1 U,F,L corner
[U2, F2], % 2 U,F edge
[U3, F3, R3], % 3 U,F,R corner
[F4, L4], % 4 F,L edge
[F5], % 5 F center
[F6, R6], % 6 F,R edge
[F7, L7, D7], % 7 F,L,D corner
[F8, D8], % 8 F,D edge
[F9, R9, D9], % 9 F,R,D corner
[U10, L10], % 10 U,L edge
[U11], % 11 U center
[U12, R12], % 12 U,R edge
[L13], % 13 L center
[R14], % 14 R center
[L15, D15], % 15 L,D edge
[D16], % 16 D center
[R17, D17], % 17 R,D edge
[U18, B18, L18], % 18 U,B,L corner
[U19, B19], % 19 U,B edge
[U20, R20, B20], % 20 U,R,B corner
[B21, L21], % 21 B,L edge
[B22], % 21 B center
[R23, B23], % 23 R,B edge
[B24, L24, D24], % 24 B,L,D corner
[B25, D25], % 25 B,D edge
[R26, B26, D26] % 26 R,B,D corner
],
[
% Change [1, 2, 3, 10, 11, 12, 18, 19, 20]
% 1 .. 26
[U3, R3, F3],
[U12, R12],
[U20, R20, B20],
[F4, L4],
[F5], % F center
[F6, R6],
[F7, L7, D7],
[F8, D8],
[F9, R9, D9],
[U2, F2],
[U11], % U center (stays fixed)
[U19, B19],
[L13], % L center
[R14], % R center
[L15, D15],
[D16], % D center
[R17, D17],
[U1, L1, F1],
[U10, L10],
[U18, B18, L18],
[B21, L21],
[B22], % B center
[R23, B23],
[B24, L24, D24],
[B25, D25],
[R26, B26, D26]
]
).
% Up Face Reverse Rotation (Anticlockwise) /2
uf_rol(
[
[U1, F1, L1], % 1 U,F,L corner
[U2, F2], % 2 U,F edge
[U3, F3, R3], % 3 U,F,R corner
[F4, L4], % 4 F,L edge
[F5], % 5 F center
[F6, R6], % 6 F,R edge
[F7, L7, D7], % 7 F,L,D corner
[F8, D8], % 8 F,D edge
[F9, R9, D9], % 9 F,R,D corner
[U10, L10], % 10 U,L edge
[U11], % 11 U center
[U12, R12], % 12 U,R edge
[L13], % 13 L center
[R14], % 14 R center
[L15, D15], % 15 L,D edge
[D16], % 16 D center
[R17, D17], % 17 R,D edge
[U18, B18, L18], % 18 U,B,L corner
[U19, B19], % 19 U,B edge
[U20, R20, B20], % 20 U,R,B corner
[B21, L21], % 21 B,L edge
[B22], % 21 B center
[R23, B23], % 23 R,B edge
[B24, L24, D24], % 24 B,L,D corner
[B25, D25], % 25 B,D edge
[R26, B26, D26] % 26 R,B,D corner
],
[
% Change [1, 2, 3, 10, 11, 12, 18, 19, 20]
% 1 .. 26
[U18, L18, B18], % *
[U10, L10],% *
[U1, L1, F1],% *
[F4, L4],
[F5],
[F6, R6],
[F7, L7, D7],
[F8, D8],
[F9, R9, D9],
[U19, B19],% *
[U11], % *
[U2, F2],% *
[L13],
[R14],
[L15, D15],
[D16],
[R17, D17],
[U20, R20, B20],% *
[U12, R12],% *
[U3, F3, R3],% *
[B21, L21],
[B22],
[R23, B23],
[B24, L24, D24],
[B25, D25],
[R26, B26, D26]
]
).
% Down Face Rotation (Clockwise) /2
df_ror(
[
[U1, F1, L1], % 1 U,F,L corner
[U2, F2], % 2 U,F edge
[U3, F3, R3], % 3 U,F,R corner
[F4, L4], % 4 F,L edge
[F5], % 5 F center
[F6, R6], % 6 F,R edge
[F7, L7, D7], % 7 F,L,D corner
[F8, D8], % 8 F,D edge
[F9, R9, D9], % 9 F,R,D corner
[U10, L10], % 10 U,L edge
[U11], % 11 U center
[U12, R12], % 12 U,R edge
[L13], % 13 L center
[R14], % 14 R center
[L15, D15], % 15 L,D edge
[D16], % 16 D center
[R17, D17], % 17 R,D edge
[U18, B18, L18], % 18 U,B,L corner
[U19, B19], % 19 U,B edge
[U20, R20, B20], % 20 U,R,B corner
[B21, L21], % 21 B,L edge
[B22], % 21 B center
[R23, B23], % 23 R,B edge
[B24, L24, D24], % 24 B,L,D corner
[B25, D25], % 25 B,D edge
[R26, B26, D26] % 26 R,B,D corner
],
[
% Change [7, 8, 9, 15, 16, 17, 24, 25, 26]
% 1 .. 26
[U1, F1, L1],
[U2, F2],
[U3, F3, R3],
[F4, L4],
[F5],
[F6, R6],
[L24, B24, D24], % *
[L15, D15], % *
[L7, F7, D7], % *
[U10, L10],
[U11],
[U12, R12],
[L13],
[R14],
[B25, D25], % *
[D16], % * (stays fixed)
[F8, D8], % *
[U18, B18, L18],
[U19, B19],
[U20, R20, B20],
[B21, L21],
[B22],
[R23, B23],
[R26, B26, D26], % *
[R17, D17], % *
[F9, R9, D9] % *
]
).
% Down Face Reverse Rotation (Anticlockwise) /2
df_rol(
[
[U1, F1, L1], % 1 U,F,L corner
[U2, F2], % 2 U,F edge
[U3, F3, R3], % 3 U,F,R corner
[F4, L4], % 4 F,L edge
[F5], % 5 F center
[F6, R6], % 6 F,R edge
[F7, L7, D7], % 7 F,L,D corner
[F8, D8], % 8 F,D edge
[F9, R9, D9], % 9 F,R,D corner
[U10, L10], % 10 U,L edge
[U11], % 11 U center
[U12, R12], % 12 U,R edge
[L13], % 13 L center
[R14], % 14 R center
[L15, D15], % 15 L,D edge
[D16], % 16 D center
[R17, D17], % 17 R,D edge
[U18, B18, L18], % 18 U,B,L corner
[U19, B19], % 19 U,B edge
[U20, R20, B20], % 20 U,R,B corner
[B21, L21], % 21 B,L edge
[B22], % 21 B center
[R23, B23], % 23 R,B edge
[B24, L24, D24], % 24 B,L,D corner
[B25, D25], % 25 B,D edge
[R26, B26, D26] % 26 R,B,D corner
],
[
% Change [7, 8, 9, 15, 16, 17, 24, 25, 26]
% 1 .. 26
[U1, F1, L1],
[U2, F2],
[U3, F3, R3],
[F4, L4],
[F5],
[F6, R6],
[R9, F9, D9], % *
[R17, D17], % *
[R26, B26, D26], % *
[U10, L10],
[U11],
[U12, R12],
[L13],
[R14],
[F8, D8], % *
[D16], % * (stays fixed)
[B25, D25], % *
[U18, B18, L18],
[U19, B19],
[U20, R20, B20],
[B21, L21],
[B22],
[R23, B23],
[L7, F7, D7], % *
[L15, D15], % *
[B24, L24, D24] % *
]
).
% Front Face Rotation (Clockwise) /2
ff_ror(
[
[U1, F1, L1], % 1 U,F,L corner
[U2, F2], % 2 U,F edge
[U3, F3, R3], % 3 U,F,R corner
[F4, L4], % 4 F,L edge
[F5], % 5 F center
[F6, R6], % 6 F,R edge
[F7, L7, D7], % 7 F,L,D corner
[F8, D8], % 8 F,D edge
[F9, R9, D9], % 9 F,R,D corner
[U10, L10], % 10 U,L edge
[U11], % 11 U center
[U12, R12], % 12 U,R edge
[L13], % 13 L center
[R14], % 14 R center
[L15, D15], % 15 L,D edge
[D16], % 16 D center
[R17, D17], % 17 R,D edge
[U18, B18, L18], % 18 U,B,L corner
[U19, B19], % 19 U,B edge
[U20, R20, B20], % 20 U,R,B corner
[B21, L21], % 21 B,L edge
[B22], % 21 B center
[R23, B23], % 23 R,B edge
[B24, L24, D24], % 24 B,L,D corner
[B25, D25], % 25 B,D edge
[R26, B26, D26] % 26 R,B,D corner
],
[
% Change [1, 2, 3, 4, 5, 6, 7, 8, 9]
% 1 .. 26
[L7, F7, D7], % *
[L4, F4], % *
[L1, F1, U1], % *
[F8, D8], % *
[F5], % * (stays fixed)
[F2, U2], % *
[F9, D9, R9], % *
[F6, R6], % *
[F3, U3, R3], % *
[U10, L10],
[U11],
[U12, R12],
[L13],
[R14],
[L15, D15],
[D16],
[R17, D17],
[U18, B18, L18],
[U19, B19],
[U20, R20, B20],
[B21, L21],
[B22],
[R23, B23],
[B24, L24, D24],
[B25, D25],
[R26, B26, D26]
]
).
% Front Face Reverse Rotation (Anticlockwise) /2
ff_rol(
[
[U1, F1, L1], % 1 U,F,L corner
[U2, F2], % 2 U,F edge
[U3, F3, R3], % 3 U,F,R corner
[F4, L4], % 4 F,L edge
[F5], % 5 F center
[F6, R6], % 6 F,R edge
[F7, L7, D7], % 7 F,L,D corner
[F8, D8], % 8 F,D edge
[F9, R9, D9], % 9 F,R,D corner
[U10, L10], % 10 U,L edge
[U11], % 11 U center
[U12, R12], % 12 U,R edge
[L13], % 13 L center
[R14], % 14 R center
[L15, D15], % 15 L,D edge
[D16], % 16 D center
[R17, D17], % 17 R,D edge
[U18, B18, L18], % 18 U,B,L corner
[U19, B19], % 19 U,B edge
[U20, R20, B20], % 20 U,R,B corner
[B21, L21], % 21 B,L edge
[B22], % 21 B center
[R23, B23], % 23 R,B edge
[B24, L24, D24], % 24 B,L,D corner
[B25, D25], % 25 B,D edge
[R26, B26, D26] % 26 R,B,D corner
],
[
% Change [1, 2, 3, 4, 5, 6, 7, 8, 9]
% 1 .. 26
[R3, F3, U3], % *
[R6, F6], % *
[R9, F9, D9], % *
[F2, U2], % *
[F5], % * (stays fixed)
[F8, D8], % *
[F1, U1, L1], % *
[F4, L4], % *
[F7, D7, L7], % *
[U10, L10],
[U11],
[U12, R12],
[L13],
[R14],
[L15, D15],
[D16],
[R17, D17],
[U18, B18, L18],
[U19, B19],
[U20, R20, B20],
[B21, L21],
[B22],
[R23, B23],
[B24, L24, D24],
[B25, D25],
[R26, B26, D26]
]
).
% Back Face Rotation (Clockwise) /2
bf_ror(
[
[U1, F1, L1], % 1 U,F,L corner
[U2, F2], % 2 U,F edge
[U3, F3, R3], % 3 U,F,R corner
[F4, L4], % 4 F,L edge
[F5], % 5 F center
[F6, R6], % 6 F,R edge
[F7, L7, D7], % 7 F,L,D corner
[F8, D8], % 8 F,D edge
[F9, R9, D9], % 9 F,R,D corner
[U10, L10], % 10 U,L edge
[U11], % 11 U center
[U12, R12], % 12 U,R edge
[L13], % 13 L center
[R14], % 14 R center
[L15, D15], % 15 L,D edge
[D16], % 16 D center
[R17, D17], % 17 R,D edge
[U18, B18, L18], % 18 U,B,L corner
[U19, B19], % 19 U,B edge
[U20, R20, B20], % 20 U,R,B corner
[B21, L21], % 21 B,L edge
[B22], % 21 B center
[R23, B23], % 23 R,B edge
[B24, L24, D24], % 24 B,L,D corner
[B25, D25], % 25 B,D edge
[R26, B26, D26] % 26 R,B,D corner
],
[
% Change [18, 19, 20, 21, 22, 23, 24, 25, 26]
% 1 .. 26
[U1, F1, L1],
[U2, F2],
[U3, F3, R3],
[F4, L4],
[F5],
[F6, R6],
[F7, L7, D7],
[F8, D8],
[F9, R9, D9],
[U10, L10],
[U11],
[U12, R12],
[L13],
[R14],
[L15, D15],
[D16],
[R17, D17],
[R20, B20, U20], % *
[R23, B23], % *
[R26, D26, B26], % *
[B19, U19], % *
[B22], % * (stays fixed)
[D25, B25], % *
[B18, U18, L18], % *
[B21, L21], % *
[D24, B24, L24] % *
]
).
% Back Face Reverse Rotation (Anticlockwise) /2
bf_rol(
[
[U1, F1, L1], % 1 U,F,L corner
[U2, F2], % 2 U,F edge
[U3, F3, R3], % 3 U,F,R corner
[F4, L4], % 4 F,L edge
[F5], % 5 F center
[F6, R6], % 6 F,R edge
[F7, L7, D7], % 7 F,L,D corner
[F8, D8], % 8 F,D edge
[F9, R9, D9], % 9 F,R,D corner
[U10, L10], % 10 U,L edge
[U11], % 11 U center
[U12, R12], % 12 U,R edge
[L13], % 13 L center
[R14], % 14 R center
[L15, D15], % 15 L,D edge
[D16], % 16 D center
[R17, D17], % 17 R,D edge
[U18, B18, L18], % 18 U,B,L corner
[U19, B19], % 19 U,B edge
[U20, R20, B20], % 20 U,R,B corner
[B21, L21], % 21 B,L edge
[B22], % 21 B center
[R23, B23], % 23 R,B edge
[B24, L24, D24], % 24 B,L,D corner
[B25, D25], % 25 B,D edge
[R26, B26, D26] % 26 R,B,D corner
],
[
% Change [18, 19, 20, 21, 22, 23, 24, 25, 26]
% 1 .. 26
[U1, F1, L1],
[U2, F2],
[U3, F3, R3],
[F4, L4],
[F5],
[F6, R6],
[F7, L7, D7],
[F8, D8],
[F9, R9, D9],
[U10, L10],
[U11],
[U12, R12],
[L13],
[R14],
[L15, D15],
[D16],
[R17, D17],
[L24, B24, D24], % *
[L21, B21], % *
[L18, U18, B18], % *
[B25, D25], % *
[B22], % * (stays fixed)
[U19, B19], % *
[B26, D26, R26], % *
[B23, R23], % *
[U20, B20, R20] % *
]
).
% Unification of moves /2
move(CurrentState, NextState):- rf_ror(CurrentState, NextState).
move(CurrentState, NextState):- rf_rol(CurrentState, NextState).
move(CurrentState, NextState):- lf_ror(CurrentState, NextState).
move(CurrentState, NextState):- lf_rol(CurrentState, NextState).
move(CurrentState, NextState):- ff_ror(CurrentState, NextState).
move(CurrentState, NextState):- ff_rol(CurrentState, NextState).
move(CurrentState, NextState):- bf_ror(CurrentState, NextState).
move(CurrentState, NextState):- bf_rol(CurrentState, NextState).
move(CurrentState, NextState):- uf_ror(CurrentState, NextState).
move(CurrentState, NextState):- uf_rol(CurrentState, NextState).
move(CurrentState, NextState):- df_ror(CurrentState, NextState).
move(CurrentState, NextState):- df_rol(CurrentState, NextState).
% Test for equal tiles on the whole face (test all for equality)
% face_equal/1
face_equal(Face) :- maplist(=(_), Face).
% Test if cube in the current state is solved (test tiles for each face)
% solved_cube/1
solved_cube(
[
[U1, F1, L1], % 1 U,F,L corner
[U2, F2], % 2 U,F edge
[U3, F3, R3], % 3 U,F,R corner
[F4, L4], % 4 F,L edge
[F5], % 5 F center
[F6, R6], % 6 F,R edge
[F7, L7, D7], % 7 F,L,D corner
[F8, D8], % 8 F,D edge
[F9, R9, D9], % 9 F,R,D corner
[U10, L10], % 10 U,L edge
[U11], % 11 U center
[U12, R12], % 12 U,R edge
[L13], % 13 L center
[R14], % 14 R center
[L15, D15], % 15 L,D edge
[D16], % 16 D center
[R17, D17], % 17 R,D edge
[U18, B18, L18], % 18 U,B,L corner
[U19, B19], % 19 U,B edge
[U20, R20, B20], % 20 U,R,B corner
[B21, L21], % 21 B,L edge
[B22], % 21 B center
[R23, B23], % 23 R,B edge
[B24, L24, D24], % 24 B,L,D corner
[B25, D25], % 25 B,D edge
[R26, B26, D26] % 26 R,B,D corner
]):-
face_equal([ U1, U2, U3, U10, U11, U12, U18, U19, U20]),
face_equal([ F1, F2, F3, F4, F5, F6, F7, F8, F9]),
face_equal([ L1, L4, L7, L10, L13, L15, L18, L21, L24]),
face_equal([ R3, R6, R9, R12, R14, R17, R20, R23, R26]),
face_equal([B18, B19, B20, B21, B22, B23, B24, B25, B26]),
face_equal([ D7, D8, D9, D15, D16, D17, D24, D25, D26]).
% set a search task goal (i.e. the solved state)
% goal/1
goal(CubeState) :- solved_cube(CubeState).
% Depth Limited Search
% search to a given depth limit
% search/3
search(Depth, CubeState, [CubeState]) :-
Depth == 0,
goal(CubeState).
search(Depth, CubeState, [CubeState | PrevStates]) :-
Depth > 0,
move(CubeState, NextState),
Depth1 is Depth-1,
search(Depth1, NextState, PrevStates).
% Iterative Deepening Search
% if solution not found, increase depth limit and repeat
% ids/3
ids(Depth, InitialCubeState, Solution) :- search(Depth, InitialCubeState, Solution).
ids(Depth, InitialCubeState, Solution) :- Depth1 is Depth+1, ids(Depth1, InitialCubeState, Solution).
% print out the sequence of states that lead to the solution (solved state)
% print_solution/1
print_solution([]).
print_solution([CubeState | PrevStates]) :-
cubeletes_to_print_format(CubeState, PrintCube),
print_cube(PrintCube), nl,
print_solution(PrevStates).
start :-
prompt(_, ''),
read_lines(LL),
split_lines(LL,S),
parse_cubeletes(S, Cube),
ids(0, Cube, Solution),
print_solution(Solution),
halt.