The OrthoManagerTest had several typos in it, which were not found
because all tests that used it were essentially disabled.  The
OrthoManagerTest has been fixed and all TSQR-specific tests have
been placed behind an ifdef.  The Epetra interface test for the
OrthoManager has been enabled and the dependency on TSQR has been
removed due to the change in the tester.

are being run inside cmake (e.g., detect configure vs build time)

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PR Title: Tacho - export supernodes info
PR Author: kyungjoo-kim

Fixes errors in OrthoManagerTest and enables Epetra testing

…or use by Albany (#7359)

* Piro: adding a couple member functions to Piro::TransientSolver class.

* Piro: cleanups to Piro::TempusSolver.

Removing unneeded logic/variables.

Renaming member variables in a consistent way.

* Piro: more cleanups of Piro::TempusSolver.

Adding some unit tests involving transient sensitivities,
which will fail for now since I have not written the code for the sensitivities in the Piro::TempusSolver class.

* Piro: more cleanups.

* Piro: more refactoring/cleanup towards adding transient sensitivities.

Moving response stuff to Piro::TransientSolver.  Extending code to work with >1
parameters and responses (caveat: this case has not been tested yet).

* Piro: adding flags for forward/adjoint sensitivities.

Further refactors.

* Tempus: replacing DERIV_MV_BY_COL with DERIV_MV_JACOBIAN_FORM
and DERIV_TRANS_MV_BY_ROW with DERIV_MV_GRADIENT_FORM.

DERIV_MV_BY_COL and DERIV_TRANS_MV_BY_ROW are deprecated in Thyra.

* Piro: adding ifdef to allow option of disabling sensivity tests.

* Piro: work on transient sensitivities.

* Creating Piro::TempusIntegrator class, which is effectively
a wrapper class of various integrators from Tempus (IntegratorBasic,
IntegratorFowardSensitivity, IntegratorAdjointSensitivity).

* Piro: forgot to check this in with previous commit.

* Piro: filling in TempusIntegrator routines.

* Piro: switching TempusSolver to use new Piro::TempusIntegrator class.

This is an interface to the various integrators in Piro, including the sensitivity
ones. Working tests pass.

* Piro: hooking up setting of sensitivity method based on input parameters
for transient sensitivities.

* Piro: continuing hooking up of relevant Tempus routines
for transient sensitivities.

* Piro: filling in response sensitivities code.

* Piro: continuing work on transient forward sensitivities.

Filling in/cleaning up/documenting response sensitivity calculation.

* Piro: adding getDxDp(), getDxdotDp() and getDxdotdotDp() routines
to Piro::TempusIntegrator class, as well as Piro::TempusIntegrator
member variable to Piro::TransientSolver class.

Populating dxdp_mv in evalConvergedModel() using getDxDp().

* Piro: adding getDgDp() routine to Piro::TempusIntegrator - looking forward
to adjoint sensitivities.

* Piro: correcting comment about clearObservers() routine not existing
for sensitivity integrators in Tempus.

* Piro: cleaning up verbose output.  Removing exception throwing when
requesting sensitivities.

Refactoring Tempus unit tests into sensitivity ones and those w/o
sensitivities.  Creating an EpetraExt and Thyra version of the sensitivity
tests, for debugging.  Sensitivity tests currently fail - need to debug.

* Piro: removing LinearOp sensitivity tests for Tempus - forward
sensitivities do not work with LinearOp.

* Piro: removing unneeded support.

* Piro: bug fix affecting tempus solver forward sensitivity unit tests.

Now the sensitivity tests all pass on 4 procs but 2 of them fail on 1 proc, which is super weird...

Removing forward sensitivity unit tests using the Tpetra version of the MockModel_A, as these
were redundant.

* Piro: creating SinCos example, analogous to the one in Tempus, for testing
forward sensitivities.  Test works in serial and parallel - yay!

* Piro: some cleanup and renaming of tests for forward sensitivities.

* Piro: refactoring transient sensitivity sincos unit tests - creating 4 tests out of one
for 'Staggered' vs. 'Combined' sensitivities, and sensitivities w/ and w/o Tangent operator.

* Piro: rearranging sensitivity calculation to avoid calling getDxDp for each
parameter and response.

* Piro: fixing failing sensitivity tests.  All tests pass once again, including
new sensitivity ones :).

* Piro: adding comments and optional print statements checking response sensitivities.

* Piro: removing obsolete types DERIV_TRANS_MV_BY_ROW and DERIV_MV_BY_COL
for Thyra model evaluator.

* Piro: bug fix - sensitivity type was set too late, causing Albany transient
tests to fail.

* Piro: cleaning up comments.

* Piro: adding back missing bracket that got deleted accidentally.

* Piro: several improvements as follows.

- Removing logic preventing user to start time-integration at time other than 0,
which is possible to do now in Tempus.  Writing corresponding tests.

- Extending Piro::ObserverToTempusIntegrationObserverAdapter class so
that it handles correctly sensitivities.  Adding a test for sensitivities + observer.

* Piro: removing __PRETTY_FUNCTION__ debug output.  Fixing
a couple of the errors caught by the auto-tester.

* Piro: removing debug output from tests.

* Piro: removing initialConditionModel argument/member variable
from Tempus classes.

It is not needed/used and a remnant from the Rythmos solver.

* Piro: corrections to createOutArgs, which was not implemented earlier for >1
parameter and response.

* Piro: changing final difference check to relative difference.

* Piro: changing int sens_method to enum.

* Piro: removing unused variable.

* Piro: fixing Thyra type mismatch that was causing some of the auto-tester
tests to fail.

* Piro: renaming Piro_TempusHelpers.hpp file and removing unneeded enums

* Piro: correcting include.

Co-authored-by: Irina Tezaur <[email protected]>

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PR Author: jjellio