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#!/usr/bin/env python2.7
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# Copyright 2017, Google Inc.
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# All rights reserved.
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#
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# Redistribution and use in source and binary forms, with or without
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# modification, are permitted provided that the following conditions are
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# met:
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#
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# * Redistributions of source code must retain the above copyright
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# notice, this list of conditions and the following disclaimer.
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# * Redistributions in binary form must reproduce the above
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# copyright notice, this list of conditions and the following disclaimer
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# in the documentation and/or other materials provided with the
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# distribution.
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# * Neither the name of Google Inc. nor the names of its
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# contributors may be used to endorse or promote products derived from
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# this software without specific prior written permission.
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#
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# THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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# "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
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# LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
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# A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
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# OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
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# SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
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# LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
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# DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
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# THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
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# (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
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# OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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""" The math behind the diff functionality """
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from scipy import stats
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import math
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_THRESHOLD = 1e-10
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def scale(a, mul):
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return [x*mul for x in a]
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def cmp(a, b):
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return stats.ttest_ind(a, b)
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def speedup(new, old):
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if (len(set(new))) == 1 and new == old: return 0
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s0, p0 = cmp(new, old)
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if math.isnan(p0): return 0
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if s0 == 0: return 0
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if p0 > _THRESHOLD: return 0
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if s0 < 0:
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pct = 1
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while pct < 101:
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sp, pp = cmp(new, scale(old, 1 - pct/100.0))
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if sp > 0: break
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if pp > _THRESHOLD: break
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pct += 1
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return -(pct - 1)
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else:
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pct = 1
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while pct < 100000:
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sp, pp = cmp(new, scale(old, 1 + pct/100.0))
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if sp < 0: break
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if pp > _THRESHOLD: break
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pct += 1
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return pct - 1
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if __name__ == "__main__":
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new=[1.0, 1.0, 1.0, 1.0]
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old=[2.0, 2.0, 2.0, 2.0]
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print speedup(new, old)
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print speedup(old, new)
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