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authorWilliam Carroll <wpcarro@gmail.com>2020-01-29T14·43+0000
committerWilliam Carroll <wpcarro@gmail.com>2020-01-29T14·43+0000
commit5c9079a41059e077f2b71b68eb83ff9fcb2e38d1 (patch)
treedce7e3566b04213228fb3c92fc593ca18841d972 /data_structures_and_algorithms/dijkstra-shortest-path.py
parentfb9380ba268b3cd27372acadb87b14cc96163374 (diff)
Splice ./universe directory into ./
Manually merging:
- README.md: I added the description from universe/README.md into the heading of
  dotfiles/README.md.
- .envrc: dotfiles/.envrc was a superset of universe/.envrc
- .gitignore: Adding some of the ignored patterns from universe/.gitignore to
  dotfiles/.gitignore

Everything else here should be a simple rename.
Diffstat (limited to 'data_structures_and_algorithms/dijkstra-shortest-path.py')
-rw-r--r--data_structures_and_algorithms/dijkstra-shortest-path.py48
1 files changed, 48 insertions, 0 deletions
diff --git a/data_structures_and_algorithms/dijkstra-shortest-path.py b/data_structures_and_algorithms/dijkstra-shortest-path.py
new file mode 100644
index 000000000000..03907f604044
--- /dev/null
+++ b/data_structures_and_algorithms/dijkstra-shortest-path.py
@@ -0,0 +1,48 @@
+from collections import deque
+from heapq import heappush, heappop
+from fixtures import weighted_graph
+
+
+def put(t, x, xs):
+    if t == 'stack':
+        return xs.append(x)
+    if t == 'queue':
+        return xs.append(x)
+    if t == 'priority':
+        return heappush(xs, x)
+
+
+def pop(t, xs):
+    if t == 'stack':
+        return xs.pop()
+    if t == 'queue':
+        return xs.popleft()
+    if t == 'priority':
+        return heappop(xs)
+
+
+# shortest_path :: Vertex -> Vertex -> Graph -> [Vertex]
+def shortest_path(a, b, g):
+    """Returns the shortest path from vertex a to vertex b in graph g."""
+    t = 'priority'
+    xs = []
+    seen = set()
+    # Map(Weight, [Vertex])
+    m = {}
+
+    put(t, (0, [a], a), xs)
+
+    while xs:
+        w0, path, v = pop(t, xs)
+
+        seen.add(v)
+        if v == b:
+            m[w0] = path
+        for w1, x in g.get(v):
+            if x not in seen:
+                put(t, (w0 + w1, path + [x], x), xs)
+
+    return m
+
+
+print(shortest_path('a', 'f', graph_a))