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authorNicolas Martinelli <nim@odoo.com>2019-08-07 07:28:57 +0000
committerNicolas Martinelli <nim@odoo.com>2019-08-07 08:25:53 +0000
commitfde3b696562a12dc3ec99fcb85004a6a40e040f0 (patch)
tree8ea7907475b0a63f98f3ee291310d9fd4e728bf6 /odoo/addons/base/tests/test_float.py
parent71af1a710ab6892d09156e4a6c61c63820532dee (diff)
[FIX] tools: epsilon magnitude
The following rounding is incorrect: ``` >>> float_round(6.6 * 0.175, precision_digits=2) 1.15 ``` Indeed, 6.6 * 0.175 = 1.155 ≈ 1.16. In this specific case, the `epsilon` computed is not sufficient. A precision of 53 gives: normalized_value = 115.49999999999997 epsilon = 1.2823075934420547e-14 => new normalized_value = 115.49999999999999 Bad luck, this is just not enough to tip the value in the right direction. However, a precision of 52 is sufficient: normalized_value = 115.49999999999997 epsilon = 2.5646151868841094e-14 => new normalized_value = 115.5 The value of 53 was chosen from the `binary64` number format precision. In case of Python, the corresponding machine epsilon is 2^-52 [1]. Therefore, using 52 instead of 53 does make sense. It is worth noting that the value of the machine epsilon 2^-52 = 2.2204460492503131e-16, which is still 2 orders of magnitude below our dynamic estimation. [1] https://en.wikipedia.org/wiki/Machine_epsilon [2] `numpy.finfo(float).eps = 2.2204460492503131e-16` opw-2047368 closes odoo/odoo#35521 Signed-off-by: Nicolas Martinelli (nim) <nim@odoo.com>
Diffstat (limited to 'odoo/addons/base/tests/test_float.py')
-rw-r--r--odoo/addons/base/tests/test_float.py2
1 files changed, 2 insertions, 0 deletions
diff --git a/odoo/addons/base/tests/test_float.py b/odoo/addons/base/tests/test_float.py
index a5f91982303..641c9c2d9e7 100644
--- a/odoo/addons/base/tests/test_float.py
+++ b/odoo/addons/base/tests/test_float.py
@@ -27,6 +27,8 @@ class TestFloatPrecision(TransactionCase):
try_round(0.0049,'0.00') # 0.0049 is closer to 0 than to 0.01, so should round down
try_round(0.005,'0.01') # the rule is to round half away from zero
try_round(-0.005,'-0.01') # the rule is to round half away from zero
+ try_round(6.6 * 0.175, '1.16') # 6.6 * 0.175 is rounded to 1.15 with epsilon = 53
+ try_round(-6.6 * 0.175, '-1.16')
def try_zero(amount, expected):
self.assertEqual(currency.is_zero(amount), expected,