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advent-of-code/2020/day12/day12.ex
2021-12-04 21:20:57 -08:00

138 lines
3 KiB
Elixir

defmodule Day12 do
defp read_input do
Path.expand('input', Path.dirname(__ENV__.file))
|> File.read!()
end
defp parse_instructions(text) do
String.split(text, "\n", trim: true)
|> Enum.map(fn line ->
{
String.first(line) |> String.to_atom(),
String.slice(line, 1..-1) |> String.to_integer()
}
end)
end
defp steer([], _heading, position) do
position
end
defp steer([instruction | rest], heading, position = {x, y}) do
{new_heading, new_position} =
case instruction do
{:N, dy} -> {heading, {x, y + dy}}
{:S, dy} -> {heading, {x, y - dy}}
{:E, dx} -> {heading, {x + dx, y}}
{:W, dx} -> {heading, {x - dx, y}}
{:L, deg} -> {turn(heading, deg), position}
{:R, deg} -> {turn(heading, -deg), position}
{:F, dist} -> {heading, move(heading, position, dist)}
end
steer(rest, new_heading, new_position)
end
defp turn(heading, degrees) do
hd = %{E: 0, N: 90, W: 180, S: 270}
dh = Enum.into(hd, %{}, fn {h, d} -> {d, h} end)
new_deg = Map.fetch!(hd, heading) + degrees
Map.fetch!(dh, rem(new_deg + 360, 360))
end
defp move(heading, {x, y}, distance) do
case heading do
:N -> {x, y + distance}
:S -> {x, y - distance}
:E -> {x + distance, y}
:W -> {x - distance, y}
end
end
defp manhattan({x1, y1}, {x2, y2}) do
abs(x1 - x2) + abs(y1 - y2)
end
defp test_input do
"""
F10
N3
F7
R90
F11
"""
end
def part1 do
read_input()
|> parse_instructions()
|> steer(:E, {0, 0})
|> manhattan({0, 0})
end
def part2 do
read_input()
|> parse_instructions()
|> point({0, 0}, {10, 1})
|> manhattan({0, 0})
end
defp point([], ferry, _waypoint) do
ferry
end
defp point([instruction | rest], ferry, waypoint) do
{new_ferry, new_waypoint} =
case instruction do
{:N, dy} -> {ferry, v_add(waypoint, {0, +dy})}
{:S, dy} -> {ferry, v_add(waypoint, {0, -dy})}
{:E, dx} -> {ferry, v_add(waypoint, {+dx, 0})}
{:W, dx} -> {ferry, v_add(waypoint, {-dx, 0})}
{:L, deg} -> {ferry, rotate(waypoint, deg)}
{:R, deg} -> {ferry, rotate(waypoint, -deg)}
{:F, dist} -> {move2(waypoint, ferry, dist), waypoint}
end
point(rest, new_ferry, new_waypoint)
end
defp move2({vx, vy}, {rx, ry}, d) do
{rx + d * vx, ry + d * vy}
end
defp v_add({tx, ty}, {rx, ry}) do
{tx + rx, ty + ry}
end
def c_mul({r1, i1}, {r2, i2}) do
r = r1 * r2 - i1 * i2
i = r1 * i2 + i1 * r2
{r, i}
end
def c_pow(_z, 0), do: {1, 0}
def c_pow(z, n) do
Enum.reduce(Enum.into(1..n, [], fn _ -> z end), &c_mul/2)
end
defp rotate(vector, deg) do
ticks = div(deg, 90)
if ticks < 0 do
c_mul(vector, c_pow({0, -1}, -ticks))
else
c_mul(vector, c_pow({0, 1}, ticks))
end
end
def debug do
IO.inspect({-56, 28})
rotate({56, -28}, 180)
rotate({56, -28}, -180)
end
end
Day12.part1() |> IO.inspect()
Day12.part2() |> IO.inspect()