Add exponential function spacing option

src/black/__init__.py

@@ -331,6 +331,15 @@ def validate_regex(
         " or existence of any unstable features."
     ),
 )
+@click.option(
+    "--exponential-function-spacing",
+    "exponential_function_spacing",
+    is_flag=True,
+    help=(
+        "Add exponentially increasing empty lines between function definitions to"
+        " discourage creating too many functions in a file."
+    ),
+)
 @click.option(
     "--check",
     is_flag=True,
@@ -532,6 +541,7 @@ def main(
     preview: bool,
     unstable: bool,
     enable_unstable_feature: list[Preview],
+    exponential_function_spacing: bool,
     quiet: bool,
     verbose: bool,
     required_version: str | None,
@@ -640,6 +650,7 @@ def main(
         unstable=unstable,
         python_cell_magics=set(python_cell_magics),
         enabled_features=set(enable_unstable_feature),
+        exponential_function_spacing=exponential_function_spacing,
     )
 
     lines: list[tuple[int, int]] = []

src/black/lines.py

@@ -544,6 +544,7 @@ class EmptyLineTracker:
     previous_block: LinesBlock | None = None
     previous_defs: list[Line] = field(default_factory=list)
     semantic_leading_comment: LinesBlock | None = None
+    function_count_at_depth: dict[int, int] = field(default_factory=dict)
 
     def maybe_empty_lines(self, current_line: Line) -> LinesBlock:
         """Return the number of extra empty lines before and after the `current_line`.
@@ -684,6 +685,10 @@ def _maybe_empty_lines(self, current_line: Line) -> tuple[int, int]:
                     before = 1
                 else:
                     before = 2
+                    if self.mode.exponential_function_spacing and current_line.is_def:
+                        function_index = self.function_count_at_depth.get(depth, 0)
+                        self.function_count_at_depth[depth] = function_index + 1
+                        before = 2 ** function_index
 
         if current_line.is_decorator or current_line.is_def or current_line.is_class:
             return self._maybe_empty_lines_for_class_or_def(
@@ -776,7 +781,10 @@ def _maybe_empty_lines_for_class_or_def(
             else:
                 newlines = 0
         else:
-            newlines = 1 if current_line.depth else 2
+            if self.mode.exponential_function_spacing and current_line.is_def:
+                newlines = before
+            else:
+                newlines = 1 if current_line.depth else 2
             # If a user has left no space after a dummy implementation, don't insert
             # new lines. This is useful for instance for @overload or Protocols.
             if self.previous_line.is_stub_def and not user_had_newline:

src/black/mode.py

@@ -269,6 +269,7 @@ class Mode:
     preview: bool = False
     unstable: bool = False
     enabled_features: set[Preview] = field(default_factory=set)
+    exponential_function_spacing: bool = False
 
     def __contains__(self, feature: Preview) -> bool:
         """
@@ -316,6 +317,7 @@ def get_cache_key(self) -> str:
             str(int(self.preview)),
             str(int(self.unstable)),
             features_and_magics,
+            str(int(self.exponential_function_spacing)),
         ]
         return ".".join(parts)
 
@@ -332,4 +334,5 @@ def __hash__(self) -> int:
             self.preview,
             self.unstable,
             frozenset(self.enabled_features),
+            self.exponential_function_spacing,
         ))