made tuple_reorientation to a general utility file

python/tuple_tools.py

@@ -0,0 +1,27 @@
+
+def reorient_tuple(t, n):
+    t, _ = _invert(*_flip(*_rotate(t, n)))
+    return t
+
+def _rotate(t, n) -> tuple[tuple, int]:
+    m = n%3
+    return t[m:] + t[:m], n//3
+
+def _flip(t, n) -> tuple[tuple, int]:
+    match n%4:
+        case 1:
+            return (-t[0], -t[1], t[2]), n//4
+        case 2:
+            return (-t[0], t[1], -t[2]), n//4
+        case 3:
+            return (t[0], -t[1], -t[2]), n//4
+        case _:
+            return t, n//4
+        
+
+def _invert(t, n) -> tuple[tuple, int]:
+    match n%2:
+        case 1:
+            return (-t[0], -t[1], -t[2])[::-1], n//2
+        case _:
+            return t, n//2