Polish parsing of worker-saturation from config

distributed/distributed-schema.yaml

@@ -118,8 +118,13 @@ properties:
               How frequently to balance worker loads
 
           worker-saturation:
-            type: number
-            exclusiveMinimum: 0
+            oneOf:
+              - type: number
+                exclusiveMinimum: 0
+              # String "inf", not to be confused with .inf which in YAML means float
+              # infinity. This is necessary because there's no way to parse a float
+              # infinity from a DASK_* environment variable.
+              - enum: [inf]
             description: |
               Controls how many root tasks are sent to workers (like a `readahead`).
 

distributed/scheduler.py

@@ -1646,13 +1646,22 @@ def __init__(
             / 2.0
         )
 
-        sat = dask.config.get("distributed.scheduler.worker-saturation")
-        try:
-            self.WORKER_SATURATION = float(sat)
-        except ValueError:
-            raise ValueError(
-                f"Unsupported `distributed.scheduler.worker-saturation` value {sat!r}. Must be a float."
+        self.WORKER_SATURATION = dask.config.get(
+            "distributed.scheduler.worker-saturation"
+        )
+        if self.WORKER_SATURATION == "inf":
+            # Special case necessary because there's no way to parse a float infinity
+            # from a DASK_* environment variable
+            self.WORKER_SATURATION = math.inf
+        if (
+            not isinstance(self.WORKER_SATURATION, (int, float))
+            or self.WORKER_SATURATION <= 0
+        ):
+            raise ValueError(  # pragma: nocover
+                "`distributed.scheduler.worker-saturation` must be a float > 0; got "
+                + repr(self.WORKER_SATURATION)
             )
+
         self.transition_counter = 0
         self._idle_transition_counter = 0
         self.transition_counter_max = transition_counter_max

distributed/tests/test_scheduler.py

@@ -505,12 +505,14 @@ def func(first, second):
     "saturation_config, expected_task_counts",
     [
         (2.5, (5, 3)),
-        ("2.5", (5, 3)),
         (2.0, (4, 2)),
         (1.1, (3, 2)),
         (1.0, (2, 1)),
-        (-1.0, (1, 1)),
-        (float("inf"), (6, 4))
+        (0.1, (1, 1)),
+        # This is necessary because there's no way to parse a float infinite from
+        # a DASK_* environment variable
+        ("inf", (6, 4)),
+        (float("inf"), (6, 4)),
         # ^ depends on root task assignment logic; ok if changes, just needs to add up to 10
     ],
 )