From dc05a1ed2b7e3694d87a743a31c98a3c88d9714d Mon Sep 17 00:00:00 2001
From: Sloane Perrault <sloane.perrault@gmail.com>
Date: Wed, 21 Sep 2022 09:19:54 -0400
Subject: [PATCH] 2021 day 19 pt 1

---
 2021/lib/2021/19.ex | 122 ++++++++++++++++++++++++++++++++++++++++++++
 1 file changed, 122 insertions(+)
 create mode 100644 2021/lib/2021/19.ex

diff --git a/2021/lib/2021/19.ex b/2021/lib/2021/19.ex
new file mode 100644
index 0000000..d06a658
--- /dev/null
+++ b/2021/lib/2021/19.ex
@@ -0,0 +1,122 @@
+import AOC
+
+aoc 2021, 19 do
+  def p1 do
+    scanners = input()
+
+    align_scanners(scanners)
+    |> MapSet.size()
+  end
+
+  def p2 do
+  end
+
+  def attempt_alignment(source, canidate) do
+    found =
+      source
+      |> potential_transforms(canidate)
+      |> Enum.map(fn transform ->
+        apply_transform(canidate, transform)
+      end)
+      |> Enum.find(:miss, fn transformed ->
+
+        overlap(source, transformed) >= 12
+      end)
+
+    case found do
+      :miss -> :miss
+      transformed -> {:ok, transformed}
+    end
+  end
+
+  def overlap(a, b), do: MapSet.intersection(a, b) |> MapSet.size()
+
+  def union(map_sets), do: Enum.reduce(map_sets, MapSet.new(), &MapSet.union/2)
+
+  def align_scanners([start | rest]) do
+    align_scanners(rest, [start])
+  end
+
+  def align_scanners(scanners, included, skipped \\ [])
+  def align_scanners([], included, []), do: union(included)
+  def align_scanners([], included, skipped) do
+    IO.puts("")
+    align_scanners([union(included) | skipped])
+  end
+  def align_scanners([canidate | rest], included, skipped) do
+    case union(included) |> attempt_alignment(canidate) do
+      :miss -> 
+        IO.write(".")
+        align_scanners(rest, included, [canidate | skipped])
+      {:ok, transformed} ->
+        IO.write("+")
+        align_scanners(rest, [transformed | included], skipped)
+    end
+  end
+
+  def potential_transforms(set_a, set_b) do
+    for point_a <- set_a, point_b <- set_b, rotation <- rotations() do
+      make_transform_fun(point_a, point_b, rotation)
+    end
+  end
+
+  def make_transform_fun(point_a, point_b, rotation) do
+    translation_fun =
+      make_translation_fun(point_a, apply_rotation(point_b, rotation))
+    fn point ->
+      point
+      |> apply_rotation(rotation)
+      |> apply_translation(translation_fun)
+    end
+  end
+
+  def apply_transform(%MapSet{} = set, fun) do
+    for point <- set, into: MapSet.new(), do: fun.(point)
+  end
+
+  def make_translation_fun({x0, y0, z0}, {x1, y1, z1}) do
+    {
+      make_translation_fun(x0, x1),
+      make_translation_fun(y0, y1),
+      make_translation_fun(z0, z1)
+    }
+  end
+
+  def make_translation_fun(a, b) do
+    fn c -> c + (a - b) end
+  end
+
+  def apply_translation({x, y, z}, {tx, ty, tz}) do
+    {tx.(x), ty.(y), tz.(z)}
+  end
+
+  def rotations() do
+    for a <- [:x, :y, :z], b <- [:x, :y, :z] -- [a], c <- [:x, :y, :z] -- [a, b], s_a <- [1, -1], s_b <- [1, -1], s_c <- [1, -1] do
+      {{s_a, a}, {s_b, b}, {s_c, c}}
+    end
+  end
+
+  def apply_rotation({x, y, z}, {{s_a, a}, {s_b, b}, {s_c, c}}) do
+    map = %{ x: x, y: y, z: z}
+
+    {s_a * Map.get(map, a), s_b * Map.get(map, b), s_c * Map.get(map, c)}
+  end
+
+
+  def input(input_string \\ input_string()) do
+    input_string
+    |> String.split("\n\n")
+    |> Enum.map(fn scanner_str ->
+      scanner_str
+      |> String.split("\n", trim: true)
+      |> Enum.drop(1)
+      |> Enum.map(fn line ->
+        line
+        |> String.split(",", trim: true)
+        |> Enum.map(&String.to_integer/1)
+        |> List.to_tuple()
+      end)
+      |> Enum.into(MapSet.new())
+    end)
+  end
+end