### What changes were proposed in this pull request?
Make unary and comparison operators data-type-based. Refactored operators include:
- Unary operators: `__neg__`, `__abs__`, `__invert__`,
- Comparison operators: `>`, `>=`, `<`, `<=`, `==`, `!=`
Non-goal: Tasks below are inspired during the development of this PR.
[[SPARK-35997] Implement comparison operators for CategoricalDtype in pandas API on Spark](https://issues.apache.org/jira/browse/SPARK-35997)
[[SPARK-36000] Support creating a ps.Series/Index with `Decimal('NaN')` with Arrow disabled](https://issues.apache.org/jira/browse/SPARK-36000)
[[SPARK-36001] Assume result's index to be disordered in tests with operations on different Series](https://issues.apache.org/jira/browse/SPARK-36001)
[[SPARK-36002] Consolidate tests for data-type-based operations of decimal Series](https://issues.apache.org/jira/browse/SPARK-36002)
[[SPARK-36003] Implement unary operator `invert` of numeric ps.Series/Index](https://issues.apache.org/jira/browse/SPARK-36003)
### Why are the changes needed?
We have been refactoring basic operators to be data-type-based for readability, flexibility, and extensibility.
Unary and comparison operators are still not data-type-based yet. We should fill the gaps.
### Does this PR introduce _any_ user-facing change?
Yes.
- Better error messages. For example,
Before:
```py
>>> import pyspark.pandas as ps
>>> psser = ps.Series([b"2", b"3", b"4"])
>>> -psser
Traceback (most recent call last):
...
pyspark.sql.utils.AnalysisException: cannot resolve '(- `0`)' due to data type mismatch: ...
```
After:
```py
>>> import pyspark.pandas as ps
>>> psser = ps.Series([b"2", b"3", b"4"])
>>> -psser
Traceback (most recent call last):
...
TypeError: Unary - can not be applied to binaries.
>>>
```
- Support unary `-` of `bool` Series. For example,
Before:
```py
>>> psser = ps.Series([True, False, True])
>>> -psser
Traceback (most recent call last):
...
pyspark.sql.utils.AnalysisException: cannot resolve '(- `0`)' due to data type mismatch: ...
```
After:
```py
>>> psser = ps.Series([True, False, True])
>>> -psser
0 False
1 True
2 False
dtype: bool
```
### How was this patch tested?
Unit tests.
Closes#33162 from xinrong-databricks/datatypeops_refactor.
Authored-by: Xinrong Meng <xinrong.meng@databricks.com>
Signed-off-by: Takuya UESHIN <ueshin@databricks.com>
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