void values(FieldContainer<double> &values, BasisCachePtr basisCache)
  {
    // sets values(_cellIndex,P,D)
    TEUCHOS_TEST_FOR_EXCEPTION(_cellIndex == -1, std::invalid_argument, "must call setCellIndex before calling values!");

//    cout << "_basisCoefficients:\n" << _basisCoefficients;

    BasisCachePtr spaceTimeBasisCache;
    if (basisCache->cellTopologyIsSpaceTime())
    {
      // then we require that the basisCache provided be a space-time basis cache
      SpaceTimeBasisCache* spaceTimeCache = dynamic_cast<SpaceTimeBasisCache*>(basisCache.get());
      TEUCHOS_TEST_FOR_EXCEPTION(!spaceTimeCache, std::invalid_argument, "space-time requires a SpaceTimeBasisCache");
      spaceTimeBasisCache = basisCache;
      basisCache = spaceTimeCache->getSpatialBasisCache();
    }

    int numDofs = _basis->getCardinality();
    int spaceDim = basisCache->getSpaceDim();

    bool basisIsVolumeBasis = (spaceDim == _basis->domainTopology()->getDimension());
    bool useCubPointsSideRefCell = basisIsVolumeBasis && basisCache->isSideCache();

    int numPoints = values.dimension(1);

    // check if we're taking a temporal derivative
    int component;
    Intrepid::EOperator relatedOp = BasisEvaluation::relatedOperator(_op, _basis->functionSpace(), spaceDim, component);
    if ((relatedOp == Intrepid::OPERATOR_GRAD) && (component==spaceDim)) {
      // then we are taking the temporal part of the Jacobian of the reference to curvilinear-reference space
      // based on our assumptions that curvilinearity is just in the spatial direction (and is orthogonally extruded in the
      // temporal direction), this is always the identity.
      for (int ptIndex=0; ptIndex<numPoints; ptIndex++)
      {
        for (int d=0; d<values.dimension(2); d++)
        {
          if (d < spaceDim)
            values(_cellIndex,ptIndex,d) = 0.0;
          else
            values(_cellIndex,ptIndex,d) = 1.0;
        }
      }
      return;
    }
    constFCPtr transformedValues = basisCache->getTransformedValues(_basis, _op, useCubPointsSideRefCell);

    // transformedValues has dimensions (C,F,P,[D,D])
    // therefore, the rank of the sum is transformedValues->rank() - 3
    int rank = transformedValues->rank() - 3;
    TEUCHOS_TEST_FOR_EXCEPTION(rank != values.rank()-2, std::invalid_argument, "values rank is incorrect.");


    int spaceTimeSideOrdinal = (spaceTimeBasisCache != Teuchos::null) ? spaceTimeBasisCache->getSideIndex() : -1;
    // I'm pretty sure much of this treatment of the time dimension could be simplified by taking advantage of SpaceTimeBasisCache::getTemporalBasisCache()...
    double t0 = -1, t1 = -1;
    if ((spaceTimeSideOrdinal != -1) && (!spaceTimeBasisCache->cellTopology()->sideIsSpatial(spaceTimeSideOrdinal)))
    {
      unsigned sideTime0 = spaceTimeBasisCache->cellTopology()->getTemporalSideOrdinal(0);
      unsigned sideTime1 = spaceTimeBasisCache->cellTopology()->getTemporalSideOrdinal(1);
      // get first node of each of the time-orthogonal sides, and use that to determine t0 and t1:
      unsigned spaceTimeNodeTime0 = spaceTimeBasisCache->cellTopology()->getNodeMap(spaceDim, sideTime0, 0);
      unsigned spaceTimeNodeTime1 = spaceTimeBasisCache->cellTopology()->getNodeMap(spaceDim, sideTime1, 0);
      t0 = spaceTimeBasisCache->getPhysicalCellNodes()(_cellIndex,spaceTimeNodeTime0,spaceDim);
      t1 = spaceTimeBasisCache->getPhysicalCellNodes()(_cellIndex,spaceTimeNodeTime1,spaceDim);
    }

    // initialize the values we're responsible for setting
    if (_op == OP_VALUE)
    {
      for (int ptIndex=0; ptIndex<numPoints; ptIndex++)
      {
        for (int d=0; d<values.dimension(2); d++)
        {
          if (d < spaceDim)
            values(_cellIndex,ptIndex,d) = 0.0;
          else if ((spaceTimeBasisCache != Teuchos::null) && (spaceTimeSideOrdinal == -1))
            values(_cellIndex,ptIndex,spaceDim) = spaceTimeBasisCache->getPhysicalCubaturePoints()(_cellIndex,ptIndex,spaceDim);
          else if ((spaceTimeBasisCache != Teuchos::null) && (spaceTimeSideOrdinal != -1))
          {
            if (spaceTimeBasisCache->cellTopology()->sideIsSpatial(spaceTimeSideOrdinal))
            {
              values(_cellIndex,ptIndex,spaceDim) = spaceTimeBasisCache->getPhysicalCubaturePoints()(_cellIndex,ptIndex,spaceDim-1);
            }
            else
            {
              double temporalPoint;
              unsigned temporalNode = spaceTimeBasisCache->cellTopology()->getTemporalComponentSideOrdinal(spaceTimeSideOrdinal);
              if (temporalNode==0)
                temporalPoint = t0;
              else
                temporalPoint = t1;
              values(_cellIndex,ptIndex,spaceDim) = temporalPoint;
            }
          }
        }
      }
    }
    else if ((_op == OP_DX) || (_op == OP_DY) || (_op == OP_DZ))
    {
      for (int ptIndex=0; ptIndex<numPoints; ptIndex++)
      {
        for (int d=0; d<values.dimension(2); d++)
        {
          if (d < spaceDim)
            values(_cellIndex,ptIndex,d) = 0.0;
          else
            if (_op == OP_DZ)
              values(_cellIndex,ptIndex,d) = 1.0;
            else
              values(_cellIndex,ptIndex,d) = 0.0;
        }
      }
    }
    else
    {
      TEUCHOS_TEST_FOR_EXCEPTION(true, std::invalid_argument, "Unhandled _op");
    }

    int numSpatialPoints = transformedValues->dimension(2);
    int numTemporalPoints = numPoints / numSpatialPoints;
    TEUCHOS_TEST_FOR_EXCEPTION(numTemporalPoints * numSpatialPoints != numPoints, std::invalid_argument, "numPoints is not evenly divisible by numSpatialPoints");

    for (int i=0; i<numDofs; i++)
    {
      double weight = _basisCoefficients(i);
      for (int timePointOrdinal=0; timePointOrdinal<numTemporalPoints; timePointOrdinal++)
      {
        for (int spacePointOrdinal=0; spacePointOrdinal<numSpatialPoints; spacePointOrdinal++)
        {
          int spaceTimePointOrdinal = TENSOR_POINT_ORDINAL(spacePointOrdinal, timePointOrdinal, numSpatialPoints);
          for (int d=0; d<spaceDim; d++)
          {
            values(_cellIndex,spaceTimePointOrdinal,d) += weight * (*transformedValues)(_cellIndex,i,spacePointOrdinal,d);
          }
        }
      }
    }
  }