From a3589c5411186f0a29b661003eaa641d1a63af37 Mon Sep 17 00:00:00 2001
From: Craig Tiller <ctiller@google.com>
Date: Tue, 4 Apr 2017 21:09:08 -0700
Subject: [PATCH] Starting speedup calculation

---
 tools/profiling/microbenchmarks/speedup.py | 59 ++++++++++++++++++++++
 1 file changed, 59 insertions(+)
 create mode 100644 tools/profiling/microbenchmarks/speedup.py

diff --git a/tools/profiling/microbenchmarks/speedup.py b/tools/profiling/microbenchmarks/speedup.py
new file mode 100644
index 00000000000..09222580ef9
--- /dev/null
+++ b/tools/profiling/microbenchmarks/speedup.py
@@ -0,0 +1,59 @@
+# Copyright 2017, Google Inc.
+# All rights reserved.
+#
+# Redistribution and use in source and binary forms, with or without
+# modification, are permitted provided that the following conditions are
+# met:
+#
+#     * Redistributions of source code must retain the above copyright
+# notice, this list of conditions and the following disclaimer.
+#     * Redistributions in binary form must reproduce the above
+# copyright notice, this list of conditions and the following disclaimer
+# in the documentation and/or other materials provided with the
+# distribution.
+#     * Neither the name of Google Inc. nor the names of its
+# contributors may be used to endorse or promote products derived from
+# this software without specific prior written permission.
+#
+# THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+# "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+# LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+# A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
+# OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+# SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
+# LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+# DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+# THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+# (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
+# OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+from scipy import stats
+
+new=[66034560.0, 126765693.0, 99074674.0, 98588433.0, 96731372.0, 110179725.0, 103802110.0, 101139800.0, 102357205.0, 99016353.0, 98840824.0, 99585632.0, 98791720.0, 96171521.0, 95327098.0, 95629704.0, 98209772.0, 99779411.0, 100182488.0, 98354192.0, 99644781.0, 98546709.0, 99019176.0, 99543014.0, 99077269.0, 98046601.0, 99319039.0, 98542572.0, 98886614.0, 72560968.0]
+old=[60423464.0, 71249570.0, 73213089.0, 73200055.0, 72911768.0, 72347798.0, 72494672.0, 72756976.0, 72116565.0, 71541342.0, 73442538.0, 74817383.0, 73007780.0, 72499062.0, 72404945.0, 71843504.0, 73245405.0, 72778304.0, 74004519.0, 73694464.0, 72919931.0, 72955481.0, 71583857.0, 71350467.0, 71836817.0, 70064115.0, 70355345.0, 72516202.0, 71716777.0, 71532266.0]
+
+_THRESHOLD = 0.01
+
+def scale(a, mul):
+  return [x*mul for x in a]
+
+def cmp(a, b):
+  return stats.mannwhitneyu(a, b, True, 'two-sided')
+
+def speedup(new, old):
+  s0, p0 = cmp(new, old)
+  print s0, p0
+  if s0 == 0: return 0
+  if p0 >= _THRESHOLD: return 0
+  if s0 < 0:
+    pass
+  else:
+    pct = 1
+    while True:
+      sp, pp = cmp(new, scale(old, 1 + pct / 100.0))
+      if sp <= 0: break
+      if pp >= _THRESHOLD: break
+      pct += 1
+    return pct - 1
+
+print speedup(new, old)