Add central material calibration support

src/production_analytics/calculations/material_application.py

@@ -0,0 +1,25 @@
+"""Width-independent process application from actual rotational speeds."""
+
+from collections.abc import Iterable
+from math import isfinite
+
+
+def rotational_application_g_m2(
+    rotational_speeds_rpm: Iterable[float], specific_discharge_kg_per_rev_m: float,
+    line_speed_m_min: float, gate_threshold: float,
+) -> float | None:
+    speeds = tuple(rotational_speeds_rpm)
+    if not speeds or not all(isfinite(value) for value in speeds):
+        raise ValueError("rotational speeds must be non-empty and finite")
+    if not isfinite(specific_discharge_kg_per_rev_m) or specific_discharge_kg_per_rev_m <= 0:
+        raise ValueError("specific discharge must be finite and positive")
+    if not isfinite(gate_threshold) or gate_threshold <= 0:
+        raise ValueError("speed gate threshold must be finite and positive")
+    if not isfinite(line_speed_m_min):
+        raise ValueError("line speed must be finite")
+    if line_speed_m_min <= gate_threshold:
+        return None
+    value = sum(speeds) * specific_discharge_kg_per_rev_m * 1000 / line_speed_m_min
+    if not isfinite(value):
+        raise ValueError("derived application must be finite")
+    return value