Set<MultipleDeriv> DiffOpEvaluator
::backedDerivs(const MultipleDeriv& mu,
const Set<MultipleDeriv>& W1, int verb) const
{
Tabs tabs;
SUNDANCE_MSG3(verb, tabs << "computing backed-out derivs for mu= " << mu
<< ", W1=" << W1);
Set<MultipleDeriv> rtn;
if (mu.order() != 0)
{
const MultiIndex& alpha = expr()->mi();
for (Set<MultipleDeriv>::const_iterator i=W1.begin(); i!=W1.end(); i++)
{
const MultipleDeriv& md = *i;
TEUCHOS_TEST_FOR_EXCEPT(md.order() != 1);
Deriv lambda = *(md.begin());
if (lambda.isCoordDeriv()) continue;
TEUCHOS_TEST_FOR_EXCEPT(!lambda.isFunctionalDeriv());
FunctionIdentifier lambda_fid = lambda.fid();
const MultiIndex& lambda_mi = lambda.opOnFunc().mi();
for (MultipleDeriv::const_iterator j=mu.begin(); j!=mu.end(); j++)
{
const Deriv& d = *j;
if (d.isCoordDeriv()) continue;
FunctionIdentifier d_fid = d.fid();
const MultiIndex& d_mi = d.opOnFunc().mi();
if (d_fid != lambda_fid) continue;
if (!(alpha + lambda_mi == d_mi)) continue;
MultipleDeriv z = mu.factorOutDeriv(d);
z.put(lambda);
rtn.put(z);
}
}
}
SUNDANCE_MSG3(verb, tabs << "backed-out derivs = " << rtn);
return rtn;
}
bool testVecFunction()
{
bool pass = true;
Tabs tab;
int verb=1;
/* make a vector function */
int dim = 3;
Expr u = new UnknownFunctionStub("u", 1, 3);
Expr phi = new UnknownFunctionStub("u", 0, 1);
Expr v = new TestFunctionStub("v", 1, 3);
Expr alpha = new UnknownParameter("alpha");
TEUCHOS_TEST_EQUALITY(u.size(), dim, Out::os(), pass);
TEUCHOS_TEST_EQUALITY(v.size(), dim, Out::os(), pass);
/* Verify that D_mi u fails for nonzero multiindex. */
// MultiIndex m1(0,1,0);
// TEST_THROW(
// funcDeriv(u, m1), pass
// );
Deriv d_du = funcDeriv(u);
Deriv d_dAlpha = funcDeriv(alpha);
Deriv d_dphi = funcDeriv(phi);
Deriv d_dphi_x = d_dphi.derivWrtMultiIndex(MultiIndex(1,0,0));
Deriv divU = divergenceDeriv(u);
Deriv divV = divergenceDeriv(v);
TEUCHOS_TEST_EQUALITY(divU.fid(), fid(u), Out::os(), pass);
TEUCHOS_TEST_EQUALITY(d_dAlpha.fid(), fid(alpha), Out::os(), pass);
SUNDANCE_BANNER1(verb, tab, "checking algSpec for parameter");
TEUCHOS_TEST_EQUALITY(d_dAlpha.algSpec().isScalar(), true, Out::os(), pass);
TEUCHOS_TEST_EQUALITY(d_dAlpha.algSpec().isVector(), false, Out::os(), pass);
TEUCHOS_TEST_EQUALITY(d_dAlpha.algSpec().isNormal(), false, Out::os(), pass);
TEUCHOS_TEST_EQUALITY(d_dAlpha.algSpec().isCoordinateComponent(), false, Out::os(), pass);
SUNDANCE_BANNER1(verb, tab, "checking algSpec for divergence");
TEUCHOS_TEST_EQUALITY(divU.algSpec().isScalar(), true, Out::os(), pass);
TEUCHOS_TEST_EQUALITY(divU.algSpec().isVector(), false, Out::os(), pass);
TEUCHOS_TEST_EQUALITY(divU.algSpec().isNormal(), false, Out::os(), pass);
TEUCHOS_TEST_EQUALITY(divU.algSpec().isCoordinateComponent(), false, Out::os(), pass);
SUNDANCE_BANNER1(verb, tab, "checking algSpec for vector operative func");
TEUCHOS_TEST_EQUALITY(d_du.algSpec().isScalar(), false, Out::os(), pass);
TEUCHOS_TEST_EQUALITY(d_du.algSpec().isVector(), true, Out::os(), pass);
TEUCHOS_TEST_EQUALITY(d_du.algSpec().isNormal(), false, Out::os(), pass);
TEUCHOS_TEST_EQUALITY(d_du.algSpec().isCoordinateComponent(), false, Out::os(), pass);
SUNDANCE_BANNER1(verb, tab, "checking algSpec for scalar operative func");
TEUCHOS_TEST_EQUALITY(d_dphi.algSpec().isScalar(), true, Out::os(), pass);
TEUCHOS_TEST_EQUALITY(d_dphi.algSpec().isVector(), false, Out::os(), pass);
TEUCHOS_TEST_EQUALITY(d_dphi.algSpec().isNormal(), false, Out::os(), pass);
TEUCHOS_TEST_EQUALITY(d_dphi.algSpec().isCoordinateComponent(), false, Out::os(), pass);
SUNDANCE_BANNER1(verb, tab, "checking algSpec for d/d(Dx(phi))");
TEUCHOS_TEST_EQUALITY(d_dphi_x.algSpec().isScalar(), false, Out::os(), pass);
TEUCHOS_TEST_EQUALITY(d_dphi_x.algSpec().isVector(), false, Out::os(), pass);
TEUCHOS_TEST_EQUALITY(d_dphi_x.algSpec().isNormal(), false, Out::os(), pass);
TEUCHOS_TEST_EQUALITY(d_dphi_x.algSpec().isCoordinateComponent(), true, Out::os(), pass);
SUNDANCE_BANNER1(verb, tab, "checking distinction between functional and spatial derivs");
TEUCHOS_TEST_EQUALITY(d_dAlpha.isFunctionalDeriv(), true, Out::os(), pass);
TEUCHOS_TEST_EQUALITY(d_dAlpha.isCoordDeriv(), false, Out::os(), pass);
TEUCHOS_TEST_EQUALITY(divU.isFunctionalDeriv(), true, Out::os(), pass);
TEUCHOS_TEST_EQUALITY(divU.isCoordDeriv(), false, Out::os(), pass);
TEUCHOS_TEST_EQUALITY(d_du.isFunctionalDeriv(), true, Out::os(), pass);
TEUCHOS_TEST_EQUALITY(d_du.isCoordDeriv(), false, Out::os(), pass);
TEUCHOS_TEST_EQUALITY(d_dphi.isFunctionalDeriv(), true, Out::os(), pass);
TEUCHOS_TEST_EQUALITY(d_dphi.isCoordDeriv(), false, Out::os(), pass);
TEUCHOS_TEST_EQUALITY(d_dphi_x.isFunctionalDeriv(), true, Out::os(), pass);
TEUCHOS_TEST_EQUALITY(d_dphi_x.isCoordDeriv(), false, Out::os(), pass);
SUNDANCE_BANNER1(verb, tab, "checking identification of differentiation order");
TEUCHOS_TEST_EQUALITY(divU.opOnFunc().derivOrder(), 1, Out::os(), pass);
TEUCHOS_TEST_EQUALITY(d_du.opOnFunc().derivOrder(), 0, Out::os(), pass);
TEUCHOS_TEST_EQUALITY(d_dAlpha.opOnFunc().derivOrder(), 0, Out::os(), pass);
TEUCHOS_TEST_EQUALITY(d_dphi.opOnFunc().derivOrder(), 0, Out::os(), pass);
TEUCHOS_TEST_EQUALITY(d_dphi_x.opOnFunc().derivOrder(), 1, Out::os(), pass);
SUNDANCE_BANNER1(verb, tab, "checking identification of test and unk funcs");
TEUCHOS_TEST_EQUALITY(d_du.isTestFunction(), false, Out::os(), pass);
TEUCHOS_TEST_EQUALITY(d_du.isUnknownFunction(), true, Out::os(), pass);
TEUCHOS_TEST_EQUALITY(d_du.isParameter(), false, Out::os(), pass);
TEUCHOS_TEST_EQUALITY(d_dphi.isTestFunction(), false, Out::os(), pass);
TEUCHOS_TEST_EQUALITY(d_dphi.isUnknownFunction(), true, Out::os(), pass);
TEUCHOS_TEST_EQUALITY(d_dphi.isParameter(), false, Out::os(), pass);
TEUCHOS_TEST_EQUALITY(d_dphi_x.isTestFunction(), false, Out::os(), pass);
TEUCHOS_TEST_EQUALITY(d_dphi_x.isUnknownFunction(), true, Out::os(), pass);
TEUCHOS_TEST_EQUALITY(d_dphi.isParameter(), false, Out::os(), pass);
TEUCHOS_TEST_EQUALITY(divU.isTestFunction(), false, Out::os(), pass);
TEUCHOS_TEST_EQUALITY(divU.isUnknownFunction(), true, Out::os(), pass);
TEUCHOS_TEST_EQUALITY(divU.isParameter(), false, Out::os(), pass);
TEUCHOS_TEST_EQUALITY(divV.isTestFunction(), true, Out::os(), pass);
TEUCHOS_TEST_EQUALITY(divV.isUnknownFunction(), false, Out::os(), pass);
TEUCHOS_TEST_EQUALITY(divV.isParameter(), false, Out::os(), pass);
/* unknown parameters are both unknown and parameters */
TEUCHOS_TEST_EQUALITY(d_dAlpha.isTestFunction(), false, Out::os(), pass);
TEUCHOS_TEST_EQUALITY(d_dAlpha.isUnknownFunction(), true, Out::os(), pass);
TEUCHOS_TEST_EQUALITY(d_dAlpha.isParameter(), true, Out::os(), pass);
SUNDANCE_BANNER1(verb, tab, "checking identification of spatial operators acting on operative functions");
TEUCHOS_TEST_EQUALITY(divU.opOnFunc().isDivergence(), true, Out::os(), pass);
TEUCHOS_TEST_EQUALITY(divU.opOnFunc().isNormal(), false, Out::os(), pass);
TEUCHOS_TEST_EQUALITY(divU.opOnFunc().isPartial(), false, Out::os(), pass);
TEUCHOS_TEST_EQUALITY(divU.opOnFunc().isIdentity(), false, Out::os(), pass);
SUNDANCE_BANNER1(verb, tab, "checking that asking for component information from a divergence throws an exception");
TEST_THROW(divU.opOnFunc().normalDerivOrder(), pass);
TEST_THROW(divU.opOnFunc().mi(), pass);
SUNDANCE_BANNER1(verb, tab, "checking that applying a partial derivative to a divergence throws an exception");
TEST_THROW(divU.opOnFunc().derivWrtMultiIndex(MultiIndex(1,0,0)), pass);
TEST_THROW(divU.opOnFunc().derivWrtMultiIndex(MultiIndex(0,1,0)), pass);
TEST_THROW(divU.opOnFunc().derivWrtMultiIndex(MultiIndex(0,0,1)), pass);
SUNDANCE_BANNER1(verb, tab, "checking that applying a zero-order partial derivative to a divergence does not throw an exception");
TEST_NOTHROW(divU.opOnFunc().derivWrtMultiIndex(MultiIndex(0,0,0)), pass);
SUNDANCE_BANNER1(verb, tab, "checking that applying a partial derivative to a divergence throws an exception");
TEST_THROW(divU.derivWrtMultiIndex(MultiIndex(1,0,0)), pass);
TEST_THROW(divU.derivWrtMultiIndex(MultiIndex(0,1,0)), pass);
TEST_THROW(divU.derivWrtMultiIndex(MultiIndex(0,0,1)), pass);
SUNDANCE_BANNER1(verb, tab, "checking that applying a zero-order partial derivative to a divergence does not throw an exception");
TEST_NOTHROW(divU.derivWrtMultiIndex(MultiIndex(0,0,0)), pass);
SUNDANCE_BANNER1(verb, tab, "checking that applying a partial derivative to a parameter throws an exception");
TEST_THROW(d_dAlpha.derivWrtMultiIndex(MultiIndex(1,0,0)), pass);
TEST_THROW(d_dAlpha.derivWrtMultiIndex(MultiIndex(0,1,0)), pass);
TEST_THROW(d_dAlpha.derivWrtMultiIndex(MultiIndex(0,0,1)), pass);
SUNDANCE_BANNER1(verb, tab, "checking that applying a zero-order partial derivative to a divergence does not throw an exception");
TEST_NOTHROW(d_dAlpha.derivWrtMultiIndex(MultiIndex(0,0,0)), pass);
SUNDANCE_BANNER1(verb, tab, "all done!");
return pass;
}
