[PATCH v1 2/9] perf jevents metric: Add ability to rewrite metrics in terms of others

[Ian Rogers]

Add RewriteMetricsInTermsOfOthers that iterates over pairs of names
and expressions trying to replace an expression, within the current
expression, with its name.

Signed-off-by: Ian Rogers <irogers@xxxxxxxxxx>
---
 tools/perf/pmu-events/metric.py      | 69 +++++++++++++++++++++++++++-
 tools/perf/pmu-events/metric_test.py | 10 ++++
 2 files changed, 78 insertions(+), 1 deletion(-)

diff --git a/tools/perf/pmu-events/metric.py b/tools/perf/pmu-events/metric.py
index 1fa3478b9ab0..8e4deb8e95e2 100644
--- a/tools/perf/pmu-events/metric.py
+++ b/tools/perf/pmu-events/metric.py
@@ -4,7 +4,7 @@ import ast
 import decimal
 import json
 import re
-from typing import Dict, List, Optional, Set, Union
+from typing import Dict, List, Optional, Set, Tuple, Union
 
 
 class Expression:
@@ -26,6 +26,9 @@ class Expression:
     """Returns true when two expressions are the same."""
     raise NotImplementedError()
 
+  def Substitute(self, name: str, expression: 'Expression') -> 'Expression':
+    raise NotImplementedError()
+
   def __str__(self) -> str:
     return self.ToPerfJson()
 
@@ -186,6 +189,15 @@ class Operator(Expression):
           other.lhs) and self.rhs.Equals(other.rhs)
     return False
 
+  def Substitute(self, name: str, expression: Expression) -> Expression:
+    if self.Equals(expression):
+      return Event(name)
+    lhs = self.lhs.Substitute(name, expression)
+    rhs = None
+    if self.rhs:
+      rhs = self.rhs.Substitute(name, expression)
+    return Operator(self.operator, lhs, rhs)
+
 
 class Select(Expression):
   """Represents a select ternary in the parse tree."""
@@ -225,6 +237,14 @@ class Select(Expression):
           other.false_val) and self.true_val.Equals(other.true_val)
     return False
 
+  def Substitute(self, name: str, expression: Expression) -> Expression:
+    if self.Equals(expression):
+      return Event(name)
+    true_val = self.true_val.Substitute(name, expression)
+    cond = self.cond.Substitute(name, expression)
+    false_val = self.false_val.Substitute(name, expression)
+    return Select(true_val, cond, false_val)
+
 
 class Function(Expression):
   """A function in an expression like min, max, d_ratio."""
@@ -267,6 +287,15 @@ class Function(Expression):
       return result
     return False
 
+  def Substitute(self, name: str, expression: Expression) -> Expression:
+    if self.Equals(expression):
+      return Event(name)
+    lhs = self.lhs.Substitute(name, expression)
+    rhs = None
+    if self.rhs:
+      rhs = self.rhs.Substitute(name, expression)
+    return Function(self.fn, lhs, rhs)
+
 
 def _FixEscapes(s: str) -> str:
   s = re.sub(r'([^\\]),', r'\1\\,', s)
@@ -293,6 +322,9 @@ class Event(Expression):
   def Equals(self, other: Expression) -> bool:
     return isinstance(other, Event) and self.name == other.name
 
+  def Substitute(self, name: str, expression: Expression) -> Expression:
+    return self
+
 
 class Constant(Expression):
   """A constant within the expression tree."""
@@ -317,6 +349,9 @@ class Constant(Expression):
   def Equals(self, other: Expression) -> bool:
     return isinstance(other, Constant) and self.value == other.value
 
+  def Substitute(self, name: str, expression: Expression) -> Expression:
+    return self
+
 
 class Literal(Expression):
   """A runtime literal within the expression tree."""
@@ -336,6 +371,9 @@ class Literal(Expression):
   def Equals(self, other: Expression) -> bool:
     return isinstance(other, Literal) and self.value == other.value
 
+  def Substitute(self, name: str, expression: Expression) -> Expression:
+    return self
+
 
 def min(lhs: Union[int, float, Expression], rhs: Union[int, float,
                                                        Expression]) -> Function:
@@ -461,9 +499,11 @@ class MetricGroup:
 
 
 class _RewriteIfExpToSelect(ast.NodeTransformer):
+  """Transformer to convert if-else nodes to Select expressions."""
 
   def visit_IfExp(self, node):
     # pylint: disable=invalid-name
+    self.generic_visit(node)
     call = ast.Call(
         func=ast.Name(id='Select', ctx=ast.Load()),
         args=[node.body, node.test, node.orelse],
@@ -501,3 +541,30 @@ def ParsePerfJson(orig: str) -> Expression:
   _RewriteIfExpToSelect().visit(parsed)
   parsed = ast.fix_missing_locations(parsed)
   return _Constify(eval(compile(parsed, orig, 'eval')))
+
+
+def RewriteMetricsInTermsOfOthers(metrics: list[Tuple[str, Expression]]
+                                  )-> Dict[str, Expression]:
+  """Shorten metrics by rewriting in terms of others.
+
+  Args:
+    metrics (list): pairs of metric names and their expressions.
+  Returns:
+    Dict: mapping from a metric name to a shortened expression.
+  """
+  updates: Dict[str, Expression] = dict()
+  for outer_name, outer_expression in metrics:
+    updated = outer_expression
+    while True:
+      for inner_name, inner_expression in metrics:
+        if inner_name == outer_name:
+          continue
+        if inner_name in updates:
+          inner_expression = updates[inner_name]
+        updated = updated.Substitute(inner_name, inner_expression)
+      if updated.Equals(outer_expression):
+        break
+      if outer_name in updates and updated.Equals(updates[outer_name]):
+        break
+      updates[outer_name] = updated
+  return updates
diff --git a/tools/perf/pmu-events/metric_test.py b/tools/perf/pmu-events/metric_test.py
index 4741b7b6612d..3a0182898bfe 100644
--- a/tools/perf/pmu-events/metric_test.py
+++ b/tools/perf/pmu-events/metric_test.py
@@ -2,7 +2,9 @@
 import unittest
 from metric import Constant
 from metric import Event
+from metric import Expression
 from metric import ParsePerfJson
+from metric import RewriteMetricsInTermsOfOthers
 
 
 class TestMetricExpressions(unittest.TestCase):
@@ -149,5 +151,13 @@ class TestMetricExpressions(unittest.TestCase):
     after = '0 * SLOTS'
     self.assertEqual(ParsePerfJson(before).Simplify().ToPerfJson(), after)
 
+  def test_RewriteMetricsInTermsOfOthers(self):
+    Expression.__eq__ = lambda e1, e2: e1.Equals(e2)
+    before = [('m1', ParsePerfJson('a + b + c + d')),
+              ('m2', ParsePerfJson('a + b + c'))]
+    after = {'m1': ParsePerfJson('m2 + d')}
+    self.assertEqual(RewriteMetricsInTermsOfOthers(before), after)
+    Expression.__eq__ = None
+
 if __name__ == '__main__':
   unittest.main()
-- 
2.39.0.rc1.256.g54fd8350bd-goog