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1#!/usr/bin/env python2.7
2#
3# Copyright 2017 gRPC authors.
4#
5# Licensed under the Apache License, Version 2.0 (the "License");
6# you may not use this file except in compliance with the License.
7# You may obtain a copy of the License at
8#
9#     http://www.apache.org/licenses/LICENSE-2.0
10#
11# Unless required by applicable law or agreed to in writing, software
12# distributed under the License is distributed on an "AS IS" BASIS,
13# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
14# See the License for the specific language governing permissions and
15# limitations under the License.
16
17from scipy import stats
18import math
19
20_DEFAULT_THRESHOLD = 1e-10
21
22
23def scale(a, mul):
24    return [x * mul for x in a]
25
26
27def cmp(a, b):
28    return stats.ttest_ind(a, b)
29
30
31def speedup(new, old, threshold=_DEFAULT_THRESHOLD):
32    if (len(set(new))) == 1 and new == old: return 0
33    s0, p0 = cmp(new, old)
34    if math.isnan(p0): return 0
35    if s0 == 0: return 0
36    if p0 > threshold: return 0
37    if s0 < 0:
38        pct = 1
39        while pct < 100:
40            sp, pp = cmp(new, scale(old, 1 - pct / 100.0))
41            if sp > 0: break
42            if pp > threshold: break
43            pct += 1
44        return -(pct - 1)
45    else:
46        pct = 1
47        while pct < 10000:
48            sp, pp = cmp(new, scale(old, 1 + pct / 100.0))
49            if sp < 0: break
50            if pp > threshold: break
51            pct += 1
52        return pct - 1
53
54
55if __name__ == "__main__":
56    new = [0.0, 0.0, 0.0, 0.0]
57    old = [2.96608e-06, 3.35076e-06, 3.45384e-06, 3.34407e-06]
58    print speedup(new, old, 1e-5)
59    print speedup(old, new, 1e-5)
60