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BUG: interval_range is incorrect when start/periods or end/periods is specified with float start/end #21161

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@jschendel

Description

@jschendel

Code Sample, a copy-pastable example if possible

In [2]: pd.interval_range(start=0.5, periods=4)
Out[2]:
IntervalIndex([(0.5, 1.375], (1.375, 2.25], (2.25, 3.125], (3.125, 4.0]]
              closed='right',
              dtype='interval[float64]')

In [3]: pd.interval_range(end=4.5, periods=4)
Out[3]:
IntervalIndex([(0.5, 1.375], (1.375, 2.25], (2.25, 3.125], (3.125, 4.0]]
              closed='right',
              dtype='interval[float64]')

Problem description

In [2] the default frequency should be 1 since freq is not specified but instead is 0.875.

In [3] the end=4.5 is not being set correctly, as well as having the same issue with freq as [2].

This appears to be caused by overeager truncation logic for when start/end are both specified and inconsistent with freq:

# force end to be consistent with freq (lower if freq skips end)
if freq is not None:
end -= end % freq

Expected Output

I'd expect both outputs to be:

IntervalIndex([(0.5, 1.5], (1.5, 2.5], (2.5, 3.5], (3.5, 4.5]]
              closed='right',
              dtype='interval[float64]')

Output of pd.show_versions()

INSTALLED VERSIONS

commit: e6864b5
python: 3.6.1.final.0
python-bits: 64
OS: Windows
OS-release: 10
machine: AMD64
processor: Intel64 Family 6 Model 78 Stepping 3, GenuineIntel
byteorder: little
LC_ALL: None
LANG: None
LOCALE: None.None

pandas: 0.24.0.dev0+12.ge6864b5
pytest: 3.1.2
pip: 9.0.1
setuptools: 39.0.1
Cython: 0.28.2
numpy: 1.13.3
scipy: 1.0.0
pyarrow: 0.6.0
xarray: 0.9.6
IPython: 6.1.0
sphinx: 1.5.6
patsy: 0.4.1
dateutil: 2.6.0
pytz: 2017.2
blosc: None
bottleneck: 1.2.1
tables: 3.4.2
numexpr: 2.6.4
feather: 0.4.0
matplotlib: 2.0.2
openpyxl: 2.4.8
xlrd: 1.1.0
xlwt: 1.3.0
xlsxwriter: 0.9.8
lxml: 3.8.0
bs4: None
html5lib: 0.999
sqlalchemy: 1.1.13
pymysql: None
psycopg2: None
jinja2: 2.9.6
s3fs: None
fastparquet: 0.1.5
pandas_gbq: None
pandas_datareader: None

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