Mathematica Asked on August 22, 2021
The following code attempts to measure the difference in months between the last day of a year and the first day of a month in the following year.
QuantityMagnitude@DateDifference[{2018, 12, 31}, {2019, #, 1}, "Month"] & /@ Range@12
which produces
{0.0322581, 1.03571, 2.03571, 3.03333, 4.03333, .03333,
6.03333, 7.03226, 8.03333, 9.03333, 10.0333, 11.0333}
However, the results are not what I would expect. Specifically, I would expect the denominator in calculating the fractional part to be the number of days in that particular month, i.e.
1/{31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31} // N
{0.0322581, 0.0357143, 0.0322581, 0.0333333, 0.0322581, 0.0333333, 0.0322581, 0.0322581, 0.0333333, 0.0322581, 0.0333333, 0.0322581}
What appears to be used instead is a sequence of days in each month of the year which is;
31, 28, 28, 30, 30, 30, 30, 31, 30, 30, 30, 30
which doesn’t make much sense. Not only that, but it leads to nonsensical results such as the following;
In[359]:= DateDifference[{2018, 12, 31}, {2019, 3, 28}, "Month"]
Out[359]= Quantity[3, "Months"]
In[360]:= DateDifference[{2018, 12, 31}, {2019, 3, 29}, "Month"]
Out[360]= Quantity[3.03571, "Months"]
In[361]:= DateDifference[{2018, 12, 31}, {2019, 3, 30}, "Month"]
Out[361]= Quantity[3.07143, "Months"]
In[362]:= DateDifference[{2018, 12, 31}, {2019, 3, 31}, "Month"]
Out[362]= Quantity[3, "Months"]
Is this a bug or am I missing something? I can’t see how this would be a feature.
Many thanks for your thoughts.
I have noticed this problem too. First, the OP's version.
Denominator@Rationalize@
DateDifference[{2018, 12, 31}, {2019, #, 1}, "Month"][[1]] & /@ Range@12
{31, 28, 28, 30, 30, 30, 30, 31, 30, 30, 30, 30}
This was my solution.
dateDifference[from_, to_, u:"Month"] :=
DateDifference[from + {0, 0, 1}, to + {0, 0, 1}, u]
Denominator@Rationalize@
dateDifference[{2018, 12, 31}, {2019, #, 1}, "Month"][[1]] & /@ Range@12
{31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31}
Correct answer by Chris Degnen on August 22, 2021
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