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day16.pl
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:- use_module(library(dcg/basics)).
:- use_module(library(tabling)).
:- use_module(library(clpfd)).
:- use_module(library(assoc)).
:- use_module(library(lists)).
stream([P]) --> packet(P).
packets([P]) --> packet(P).
packets([P|Ps]) --> packet(P), packets(Ps).
zeros([]).
zeros([0]) --> bdigit(0).
zeros([0|Zs]) --> bdigit(0), zeros(Zs).
packet(P) --> literal_value(P).
packet(O) --> operator(O).
literal_value(L) --> packet_header(V, 4), pnumber(N, Count),
{Bits is 6 + Count*5,
L = literal(V, 4, Bits, N)}.
operator(O) --> operator_header(V,T), short_id_type,
number11(N), packets_count(N, [], P, PBits),
{Bits is 7 + 11 + PBits,
O = op(V,T,Bits, P)
}.
operator(O) --> operator_header(V,T), long_id_type,
number15(PBits), packets_bitcount(PBits, [], P),
{Bits is 7 + 15 + PBits,
O = op(V,T,Bits, P)
}.
operator_header(V,T) --> packet_header(V, T), {T \= 4}.
short_id_type --> bdigit(1).
long_id_type --> bdigit(0).
packet_header(V, I) --> version(V), id(I).
packets_count(0, Acc, P, PBits) --> {reverse(Acc, P), packets_bits_length(P, PBits)}.
packets_count(Count, Acc, P, PBits) -->
packet(R), {NewCount is Count - 1}, packets_count(NewCount, [R|Acc], P, PBits).
packets_bitcount(0, Acc, P) --> {reverse(Acc, P)}.
packets_bitcount(PBits, Acc, P) -->
packet(R),
{ packet_bits(R, Bits),
NewBits is PBits - Bits},
packets_bitcount(NewBits, [R|Acc], P).
version(V) --> bdigit(A), bdigit(B), bdigit(C), {binary_decimal([A,B,C], V)}.
id(V) --> bdigit(A), bdigit(B), bdigit(C),{binary_decimal([A,B,C], V)}.
pnumber(N, Count) --> padded_group(G), {flatten(G, H), hex_decimal(H,N), length(G, Count)}.
padded_group(G) --> end_group(E), {G = [E]}.
padded_group(G) --> number_groups(N), end_group(E), { append(N, [E], G)}.
number_groups([G]) --> number_group(G).
number_groups([G|Gs]) --> number_group(G), number_groups(Gs).
number_group(G)--> bdigit(1), nibble(G).
end_group(G)--> bdigit(0), nibble(G).
number11(V) --> bnibble(N1), bnibble(N2), bdigit(A), bdigit(B), bdigit(C),
{ flatten([N1, N2, A, B, C], NB), binary_decimal(NB, V)}.
number15(V) --> bnibble(N1), bnibble(N2), bnibble(N3), bdigit(A), bdigit(B), bdigit(C),
{ flatten([N1, N2, N3, A, B, C], NB),
binary_decimal(NB, V)}.
bnibble(N) --> bdigit(A), bdigit(B), bdigit(C), bdigit(D), {N = [A,B,C,D]}.
nibble(N) --> bnibble(B),{binary_decimal(B, N)}.
bdigit3(B) --> bdigits(B), {length(B, 3)}.
bdigits([B]) --> bdigit(B).
bdigits([B|Bs])--> bdigit(B), bdigits(Bs).
bdigit(0) --> [0].
bdigit(1) --> [1].
hexline(N) --> hex(N), blanks.
hex([H]) --> hexchar(H).
hex([H|Hs]) --> hexchar(H), hex(Hs).
hexchar(V) --> [C], {char_type(C, digit), char_code('0', Zero), V is C - Zero}.
hexchar(V) --> [C], {char_type(C, upper), char_code('A', Zero), V is 10 + C - Zero}.
hex_decimal_([], _, Value, Value).
hex_decimal_([H|Hs], Power , Acc, Value):-
NewAcc is H*Power + Acc,
NewPower is Power * 16,
hex_decimal_(Hs, NewPower, NewAcc, Value).
hex_decimal(HexNumberList, Value):-
reverse(HexNumberList, R), hex_decimal_(R, 1, 0, Value).
dec_binary_(0, Value, Value).
dec_binary_(Decimal, Acc, Value):-
NewValue is getbit(Decimal, 0),
NewAcc = [NewValue|Acc],
NewDecimal is Decimal >> 1,
dec_binary_(NewDecimal, NewAcc, Value).
dec_binary_(0, Value, Value).
dec_binary_(Decimal, Acc, Value):-
NewValue is getbit(Decimal, 0),
NewAcc = [NewValue|Acc],
NewDecimal is Decimal >> 1,
dec_binary_(NewDecimal, NewAcc, Value).
hex_code(0,[0,0,0,0]).
hex_code(1,[0,0,0,1]).
hex_code(2,[0,0,1,0]).
hex_code(3,[0,0,1,1]).
hex_code(4,[0,1,0,0]).
hex_code(5,[0,1,0,1]).
hex_code(6,[0,1,1,0]).
hex_code(7,[0,1,1,1]).
hex_code(8,[1,0,0,0]).
hex_code(9,[1,0,0,1]).
hex_code(10,[1,0,1,0]).
hex_code(11,[1,0,1,1]).
hex_code(12,[1,1,0,0]).
hex_code(13,[1,1,0,1]).
hex_code(14,[1,1,1,0]).
hex_code(15,[1,1,1,1]).
hex_binary_([], Value, Value).
hex_binary_([H|Hs], Acc, Value):-
hex_code(H, [A,B,C,D]),
NewAcc = [A,B,C,D|Acc],
hex_binary_(Hs, NewAcc, Value).
hex_binary(HexNumberList, Value):-
reverse(HexNumberList, R), hex_binary_(R, [], Value).
binary_decimal_([], _, Value, Value).
binary_decimal_([B|Bs], Power, Acc, Value):-
NewAcc is B*Power + Acc,
NewPower is Power * 2,
binary_decimal_(Bs, NewPower, NewAcc, Value).
binary_decimal(Binary, Decimal):-
reverse(Binary, BinaryR),
binary_decimal_(BinaryR, 1, 0, Decimal).
packet_bits(literal(_,_,PBits, _), PBits).
packet_bits(op(_,_,PBits, _), PBits).
packets_bits_length_([], Bits, Bits).
packets_bits_length_([P|Ps], Acc, Bits):-
packet_bits(P, PBits),
NewAcc is Acc + PBits,
packets_bits_length_(Ps, NewAcc, Bits).
packets_bits_length(P, Bits):-
packets_bits_length_(P, 0, Bits).
version_sum_(literal(Version,_,_, _), _, Version).
version_sum_(op(Version,_,_, Packets), _, Sum):-
version_sum_(Packets, 0, PVSum),
Sum is Version + PVSum.
version_sum_([], Sum, Sum).
version_sum_([P|Ps], Acc, Sum):-
version_sum_(P, 0, PSum),
NewAcc is Acc+PSum,
version_sum_(Ps, NewAcc, Sum).
version_sum(Packets, Sum):-
version_sum_(Packets, 0, Sum).
times(In, State, Out):-
Out is State * In.
packet_eval(literal(_, _, _, N), N).
% sum
packet_eval(op(_, 0, _, P), Value):-
maplist(packet_eval, P, Addends),
sum_list(Addends, Value).
% product
packet_eval(op(_, 1, _, P), Value):-
maplist(packet_eval, P, Multipliers),
foldl(times, Multipliers, 1, Value).
% min
packet_eval(op(_, 2, _, P), Value):-
maplist(packet_eval, P, Mins),
min_list(Mins, Value).
% max
packet_eval(op(_, 3, _, P), Value):-
maplist(packet_eval, P, Mins),
max_list(Mins, Value).
% >
packet_eval(op(_, 5, _, [A,B]), Value):-
packet_eval(A, AValue),
packet_eval(B, BValue),
( AValue > BValue ->
Value = 1
;
Value = 0
).
% <
packet_eval(op(_, 6, _, [A,B]), Value):-
packet_eval(A, AValue),
packet_eval(B, BValue),
( AValue < BValue ->
Value = 1
;
Value = 0
).
% =
packet_eval(op(_, 7, _, [A,B]), Value):-
packet_eval(A, AValue),
packet_eval(B, BValue),
( AValue = BValue ->
Value = 1
;
Value = 0
).
day16_p1(File, Score):-
phrase_from_file(hexline(HexNumber), File),
hex_binary(HexNumber, Binary),
phrase(stream(X), Binary, _),
version_sum(X, Score).
day16_p2(File, Score):-
phrase_from_file(hexline(HexNumber), File),
hex_binary(HexNumber, Binary),
phrase(stream([X]), Binary, _),
packet_eval(X, Score).
day16_p1(Score):-
day16_p1("data/day16_p1_data", Score).
day16_p1_test:-
Tests = ["data/day16_p1_test1",
"data/day16_p1_test2",
"data/day16_p1_test3",
"data/day16_p1_test4",
"data/day16_p1_test5",
"data/day16_p1_test6",
"data/day16_p1_test7"],
findall(T-Score,
(member(T, Tests),
day16_p1(T, Score)),
ScoreList),
ScoreList = [_,_,_,_-16,_-12, _-23,_-31].
day16_p2_test:-
Tests = ["data/day16_p2_test1",
"data/day16_p2_test2",
"data/day16_p2_test3",
"data/day16_p2_test4",
"data/day16_p2_test5",
"data/day16_p2_test6",
"data/day16_p2_test7",
"data/day16_p2_test8"],
findall(T-Score,
(member(T, Tests),
day16_p2(T, Score)),
ScoreList),
ScoreList = [_-3,_-54,_-9, _-1, _-0, _-0,_-1, _-7].
day16_p2(Score):-
day16_p2("data/day16_p1_data", Score).
day16_p2_test(Score):-
day16_p2("data/day16_p1_test", Score).
day16:-
day16_p1_test,
day16_p1(971),
day16_p2_test,
day16_p2(831996589851).