Code for infeasibility diagnostics called mis (Pyomo#3172)

* getting started moving mis code into Pyomo contrib

* we have a test for mis, but it needs more coverage

* now testing some exceptions

* slight change to doc

* black

* fixing _get_constraint test

* removing some spelling errors

* more spelling errors removed

* update typos.toml for mis

* I forgot to push the __init__.py file in tests

* a little documentation cleanup

* moved mis to be part of iis

* correct bad import in mis test

* I didn't realize it would run every py file in the test directory

* trying to get the Windows tests to pass by explicitly releasing the logger file handle

* run black on test_mis.py

* trying to manage the temp dir using the tempfilemanager as a context

* catch the error that kills windows tests

* run black again

* windows started passing, but linux failing; one quick check to see if logging.info helps:

* run black again

* On windows we are just going to have to leave a log file from the test

* add a test for a feasible model

* Update pyomo/contrib/iis/mis.py

Co-authored-by: Miranda Mundt <55767766+mrmundt@users.noreply.github.com>

* Changes suggested by Miranda

* run black again

* simplifying the code

* take care of Miranda's helpful comments

* add sorely needed f to format error messages

* added suggestions from R. Parker to the comments

---------

Co-authored-by: Bernard Knueven <Bernard.Knueven@nrel.gov>
Co-authored-by: Miranda Mundt <55767766+mrmundt@users.noreply.github.com>

.github/workflows/typos.toml

@@ -40,6 +40,9 @@ WRONLY = "WRONLY"
 Hax = "Hax"
 # Big Sur
 Sur = "Sur"
+# contrib package named mis and the acronym whence the name comes
+mis = "mis"
+MIS = "MIS"
 # Ignore the shorthand ans for answer
 ans = "ans"
 # Ignore the keyword arange

doc/OnlineDocs/conf.py

@@ -84,6 +84,7 @@
     'sphinx.ext.todo',
     'sphinx_copybutton',
     'enum_tools.autoenum',
+    'sphinx.ext.autosectionlabel',
     #'sphinx.ext.githubpages',
 ]
 

doc/OnlineDocs/contributed_packages/iis.rst

@@ -1,6 +1,135 @@
+Infeasibility Diagnostics
+!!!!!!!!!!!!!!!!!!!!!!!!!
+
+There are two closely related tools for infeasibility diagnosis:
+
+  - :ref:`Infeasible Irreducible System (IIS) Tool`
+  - :ref:`Minimal Intractable System finder (MIS) Tool`
+
+The first simply provides a conduit for solvers that compute an
+infeasible irreducible system (e.g., Cplex, Gurobi, or Xpress).  The
+second provides similar functionality, but uses the ``mis`` package
+contributed to Pyomo.
+
+
 Infeasible Irreducible System (IIS) Tool
 ========================================
 
 .. automodule:: pyomo.contrib.iis.iis
 
 .. autofunction:: pyomo.contrib.iis.write_iis
+
+Minimal Intractable System finder (MIS) Tool
+============================================
+
+The file ``mis.py`` finds sets of actions that each, independently,
+would result in feasibility.  The zero-tolerance is whatever the
+solver uses, so users may want to post-process output if it is going
+to be used for analysis. It also computes a minimal intractable system
+(which is not guaranteed to be unique).  It was written by Ben Knueven
+as part of the watertap project (https://github.com/watertap-org/watertap)
+and is therefore governed by a license shown
+at the top of ``mis.py``.
+
+The algorithms come from John Chinneck's slides, see: https://www.sce.carleton.ca/faculty/chinneck/docs/CPAIOR07InfeasibilityTutorial.pdf
+
+Solver
+------
+
+At the time of this writing, you need to use IPopt even for LPs.
+
+Quick Start
+-----------
+
+The file ``trivial_mis.py`` is a tiny example listed at the bottom of
+this help file, which references a Pyomo model with the Python variable
+`m` and has these lines:
+
+.. code-block:: python
+
+   from pyomo.contrib.mis import compute_infeasibility_explanation
+   ipopt = pyo.SolverFactory("ipopt")
+   compute_infeasibility_explanation(m, solver=ipopt)
+
+.. Note::
+   This is done instead of solving the problem.
+
+.. Note::
+   IDAES users can pass ``get_solver()`` imported from ``ideas.core.solvers``
+   as the solver.
+
+Interpreting the Output
+-----------------------
+
+Assuming the dependencies are installed, running ``trivial_mis.py``
+(shown below) will
+produce a lot of warnings from IPopt and then meaningful output (using a logger).
+
+Repair Options
+^^^^^^^^^^^^^^
+
+This output for the trivial example shows three independent ways that the model could be rendered feasible:
+
+
+.. code-block:: text
+   
+   Model Trivial Quad may be infeasible. A feasible solution was found with only the following variable bounds relaxed:
+	ub of var x[1] by 4.464126126706818e-05
+	lb of var x[2] by 0.9999553410114216
+   Another feasible solution was found with only the following variable bounds relaxed:
+	lb of var x[1] by 0.7071067726864677
+	ub of var x[2] by 0.41421355687130673
+	ub of var y by 0.7071067651855212
+   Another feasible solution was found with only the following inequality constraints, equality constraints, and/or variable bounds relaxed:
+	constraint: c by 0.9999999861866736
+
+
+Minimal Intractable System (MIS)
+^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
+
+This output shows a minimal intractable system:
+
+
+.. code-block:: text
+
+   Computed Minimal Intractable System (MIS)!
+   Constraints / bounds in MIS:
+	lb of var x[2]
+	lb of var x[1]
+	constraint: c
+   
+Constraints / bounds in guards for stability
+^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
+
+This part of the report is for nonlinear programs (NLPs).
+
+When we’re trying to reduce the constraint set, for an NLP there may be constraints that when missing cause the solver 
+to fail in some catastrophic fashion. In this implementation this is interpreted as failing to get a `results` 
+object back from the call to `solve`. In these cases we keep the constraint in the problem but it’s in the 
+set of “guard” constraints – we can’t really be sure they’re a source of infeasibility or not, 
+just that “bad things” happen when they’re not included.
+
+Perhaps ideally we would put a constraint in the “guard” set if IPopt failed to converge, and only put it in the 
+MIS if IPopt converged to a point of local infeasibility. However, right now the code generally makes the 
+assumption that if IPopt fails to converge the subproblem is infeasible, though obviously that is far from the truth. 
+Hence for difficult NLPs even the “Phase 1” may “fail” – in that when finished the subproblem containing just the 
+constraints in the elastic filter may be feasible -- because IPopt failed to converge and we assumed that meant the 
+subproblem was not feasible.
+
+Dealing with NLPs is far from clean, but that doesn’t mean the tool can’t return useful results even when its assumptions are not satisfied.
+
+trivial_mis.py
+--------------
+
+.. code-block:: python
+
+   import pyomo.environ as pyo
+   m = pyo.ConcreteModel("Trivial Quad")
+   m.x = pyo.Var([1,2], bounds=(0,1))
+   m.y = pyo.Var(bounds=(0, 1))
+   m.c = pyo.Constraint(expr=m.x[1] * m.x[2] == -1)
+   m.d = pyo.Constraint(expr=m.x[1] + m.y >= 1)
+
+   from pyomo.contrib.mis import compute_infeasibility_explanation
+   ipopt = pyo.SolverFactory("ipopt")
+   compute_infeasibility_explanation(m, solver=ipopt)

pyomo/contrib/iis/__init__.py

@@ -10,3 +10,4 @@
 #  ___________________________________________________________________________
 
 from pyomo.contrib.iis.iis import write_iis
+from pyomo.contrib.iis.mis import compute_infeasibility_explanation