code: def test_constructor_infer_periodindex(self):
      xp = period_range("2012-1-1", freq="M", periods=3)
      rs = Index(xp)
      tm.assert_index_equal(rs, xp)
      assert isinstance(rs, PeriodIndex)
  
imports: from datetime import datetime, timedelta, timezone
  from decimal import Decimal
  import numpy
  import pytest
  from pandas._libs.tslibs.timezones import maybe_get_tz
  from pandas import NA, Categorical, CategoricalIndex, DatetimeIndex, Index, IntervalIndex, MultiIndex, NaT, PeriodIndex, Series, TimedeltaIndex, Timestamp, array, date_range, period_range, timedelta_range
  import pandas._testing
label_desc: Use image node_id 8 for calling the TestIndexConstructorInference obj's underlying member method code with example usage: obj.test_constructor_infer_periodindex() without return types