Intrepid_ArrayToolsDefScalar.hpp

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#ifndef INTREPID_ARRAYTOOLSDEFSCALAR_HPP
#define INTREPID_ARRAYTOOLSDEFSCALAR_HPP
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namespace Intrepid {

template<class Scalar, class ArrayOutFields, class ArrayInData, class ArrayInFields>
void ArrayTools::scalarMultiplyDataField(ArrayOutFields &     outputFields,
                                         const ArrayInData &  inputData,
                                         const ArrayInFields &      inputFields,
                                         const bool           reciprocal) {
#ifdef HAVE_INTREPID_DEBUG
  TEUCHOS_TEST_FOR_EXCEPTION( (getrank(inputData) != 2), std::invalid_argument,
                              ">>> ERROR (ArrayTools::scalarMultiplyDataField): Input data container must have rank 2.");
  if (getrank(outputFields) <= getrank(inputFields)) {
    TEUCHOS_TEST_FOR_EXCEPTION( ( (getrank(inputFields) < 3) || (getrank(inputFields) > 5) ), std::invalid_argument,
                                ">>> ERROR (ArrayTools::scalarMultiplyDataField): Input fields container must have rank 3, 4, or 5.");
    TEUCHOS_TEST_FOR_EXCEPTION( (getrank(outputFields) != getrank(inputFields)), std::invalid_argument,
                                ">>> ERROR (ArrayTools::scalarMultiplyDataField): Input and output fields containers must have the same rank.");
    TEUCHOS_TEST_FOR_EXCEPTION( (inputFields.dimension(0) != inputData.dimension(0) ), std::invalid_argument,
                                ">>> ERROR (ArrayTools::scalarMultiplyDataField): Zeroth dimensions (number of integration domains) of the fields and data input containers must agree!");
    TEUCHOS_TEST_FOR_EXCEPTION( ( (inputFields.dimension(2) != inputData.dimension(1)) && (inputData.dimension(1) != 1) ), std::invalid_argument,
                                ">>> ERROR (ArrayTools::scalarMultiplyDataField): Second dimension of the fields input container and first dimension of data input container (number of integration points) must agree or first data dimension must be 1!");
    for (size_t i=0; i<getrank(inputFields); i++) {
      std::string errmsg  = ">>> ERROR (ArrayTools::scalarMultiplyDataField): Dimension ";
      errmsg += (char)(48+i);
      errmsg += " of the input and output fields containers must agree!";
      TEUCHOS_TEST_FOR_EXCEPTION( (inputFields.dimension(i) != outputFields.dimension(i)), std::invalid_argument, errmsg );
    }
  }
  else {
    TEUCHOS_TEST_FOR_EXCEPTION( ( (getrank(inputFields) < 2) || (getrank(inputFields) > 4) ), std::invalid_argument,
                                ">>> ERROR (ArrayTools::scalarMultiplyDataField): Input fields container must have rank 2, 3, or 4.");
    TEUCHOS_TEST_FOR_EXCEPTION( (getrank(outputFields) != getrank(inputFields)+1), std::invalid_argument,
                                ">>> ERROR (ArrayTools::scalarMultiplyDataField): The rank of the input fields container must be one less than the rank of the output fields container.");
    TEUCHOS_TEST_FOR_EXCEPTION( ( (inputFields.dimension(1) != inputData.dimension(1)) && (inputData.dimension(1) != 1) ), std::invalid_argument,
                                ">>> ERROR (ArrayTools::scalarMultiplyDataField): First dimensions of fields input container and data input container (number of integration points) must agree or first data dimension must be 1!");
    TEUCHOS_TEST_FOR_EXCEPTION( ( inputData.dimension(0) != outputFields.dimension(0) ), std::invalid_argument,
                                ">>> ERROR (ArrayTools::scalarMultiplyDataField): Zeroth dimensions of fields output container and data input containers (number of integration domains) must agree!");
    for (size_t i=0; i<getrank(inputFields); i++) {
      std::string errmsg  = ">>> ERROR (ArrayTools::scalarMultiplyDataField): Dimensions ";
      errmsg += (char)(48+i);
      errmsg += " and ";
      errmsg += (char)(48+i+1);
      errmsg += " of the input and output fields containers must agree!";
      TEUCHOS_TEST_FOR_EXCEPTION( (inputFields.dimension(i) != outputFields.dimension(i+1)), std::invalid_argument, errmsg );
    }
  }
#endif
   ArrayWrapper<Scalar,ArrayOutFields, Rank<ArrayOutFields >::value, false>outputFieldsWrap(outputFields);
   ArrayWrapper<Scalar,ArrayInData, Rank<ArrayInData >::value, true>inputDataWrap(inputData);
   ArrayWrapper<Scalar,ArrayInFields, Rank<ArrayInFields >::value,true>inputFieldsWrap(inputFields);

  // get sizes
  size_t invalRank      = getrank(inputFields);
  size_t outvalRank     = getrank(outputFields);
  int numCells       = outputFields.dimension(0);
  int numFields      = outputFields.dimension(1);
  int numPoints      = outputFields.dimension(2);
  int numDataPoints  = inputData.dimension(1);
  int dim1Tens       = 0;
  int dim2Tens       = 0;
  if (outvalRank > 3) {
    dim1Tens = outputFields.dimension(3);
    if (outvalRank > 4) {
      dim2Tens = outputFields.dimension(4);
    }
  }

  if (outvalRank == invalRank) {

    if (numDataPoints != 1) { // nonconstant data
      switch(invalRank) {
        case 3: {
          if (reciprocal) {
            for(int cl = 0; cl < numCells; cl++) {
              for(int bf = 0; bf < numFields; bf++) {
                for(int pt = 0; pt < numPoints; pt++) {
                  outputFieldsWrap(cl, bf, pt) = inputFieldsWrap(cl, bf, pt)/inputDataWrap(cl, pt);
                } // P-loop
              } // F-loop
            } // C-loop
          }
          else {
                          
                        
            for(int cl = 0; cl < numCells; cl++) {
              for(int bf = 0; bf < numFields; bf++) {
                for(int pt = 0; pt < numPoints; pt++) {
                  outputFieldsWrap(cl, bf, pt) = inputFieldsWrap(cl, bf, pt)*inputDataWrap(cl, pt);
                } // P-loop
              } // F-loop
            } // C-loop
 
          }
        }// case 3
        break;

        case 4: {
          if (reciprocal) {
            for(int cl = 0; cl < numCells; cl++) {
              for(int bf = 0; bf < numFields; bf++) {
                for(int pt = 0; pt < numPoints; pt++) {
                  for( int iVec = 0; iVec < dim1Tens; iVec++) {
                    outputFieldsWrap(cl, bf, pt, iVec) = inputFieldsWrap(cl, bf, pt, iVec)/inputDataWrap(cl, pt);
                  } // D1-loop
                } // P-loop
              } // F-loop
            } // C-loop
          }
          else {
            for(int cl = 0; cl < numCells; cl++) {
              for(int bf = 0; bf < numFields; bf++) {
                for(int pt = 0; pt < numPoints; pt++) {
                  for( int iVec = 0; iVec < dim1Tens; iVec++) {
                    outputFieldsWrap(cl, bf, pt, iVec) = inputFieldsWrap(cl, bf, pt, iVec)*inputDataWrap(cl, pt);
                  } // D1-loop
                } // P-loop
              } // F-loop
            } // C-loop
          }
        }// case 4
        break;

        case 5: {
          if (reciprocal) {
            for(int cl = 0; cl < numCells; cl++) {
              for(int bf = 0; bf < numFields; bf++) {
                for(int pt = 0; pt < numPoints; pt++) {
                  for( int iTens1 = 0; iTens1 < dim1Tens; iTens1++) {
                    for( int iTens2 = 0; iTens2 < dim2Tens; iTens2++) {
                      outputFieldsWrap(cl, bf, pt, iTens1, iTens2) = inputFieldsWrap(cl, bf, pt, iTens1, iTens2)/inputDataWrap(cl, pt);
                    } // D2-loop
                  } // D1-loop
                } // F-loop
              } // P-loop
            } // C-loop
          }
          else {
            for(int cl = 0; cl < numCells; cl++) {
              for(int bf = 0; bf < numFields; bf++) {
                for(int pt = 0; pt < numPoints; pt++) {
                  for( int iTens1 = 0; iTens1 < dim1Tens; iTens1++) {
                    for( int iTens2 = 0; iTens2 < dim2Tens; iTens2++) {
                      outputFieldsWrap(cl, bf, pt, iTens1, iTens2) = inputFieldsWrap(cl, bf, pt, iTens1, iTens2)*inputDataWrap(cl, pt);
                    } // D2-loop
                  } // D1-loop
                } // F-loop
              } // P-loop
            } // C-loop
          }
        }// case 5
        break;

        default:
              TEUCHOS_TEST_FOR_EXCEPTION( !( (invalRank == 3) || (invalRank == 4) || (invalRank == 5) ), std::invalid_argument,
                                  ">>> ERROR (ArrayTools::scalarMultiplyDataField): This branch of the method is defined only for rank-3,4 or 5 containers.");
      }// invalRank

    }
    else { //constant data

      switch(invalRank) {
        case 3: {
          if (reciprocal) {
            for(int cl = 0; cl < numCells; cl++) {
              for(int bf = 0; bf < numFields; bf++) {
                for(int pt = 0; pt < numPoints; pt++) {
                  outputFieldsWrap(cl, bf, pt) = inputFieldsWrap(cl, bf, pt)/inputDataWrap(cl, 0);
                } // P-loop
              } // F-loop
            } // C-loop
          }
          else {
            for(int cl = 0; cl < numCells; cl++) {
              for(int bf = 0; bf < numFields; bf++) {
                for(int pt = 0; pt < numPoints; pt++) {
                  outputFieldsWrap(cl, bf, pt) = inputFieldsWrap(cl, bf, pt)*inputDataWrap(cl, 0);
                } // P-loop
              } // F-loop
            } // C-loop
          }
        }// case 3
        break;

        case 4: {
          if (reciprocal) {
            for(int cl = 0; cl < numCells; cl++) {
              for(int bf = 0; bf < numFields; bf++) {
                for(int pt = 0; pt < numPoints; pt++) {
                  for( int iVec = 0; iVec < dim1Tens; iVec++) {
                    outputFieldsWrap(cl, bf, pt, iVec) = inputFieldsWrap(cl, bf, pt, iVec)/inputDataWrap(cl, 0);
                  } // D1-loop
                } // P-loop
              } // F-loop
            } // C-loop
          }
          else {
            for(int cl = 0; cl < numCells; cl++) {
              for(int bf = 0; bf < numFields; bf++) {
                for(int pt = 0; pt < numPoints; pt++) {
                  for( int iVec = 0; iVec < dim1Tens; iVec++) {
                    outputFieldsWrap(cl, bf, pt, iVec) = inputFieldsWrap(cl, bf, pt, iVec)*inputDataWrap(cl, 0);
                  } // D1-loop
                } // P-loop
              } // F-loop
            } // C-loop
          }
        }// case 4
        break;

        case 5: {
          if (reciprocal) {
            for(int cl = 0; cl < numCells; cl++) {
              for(int bf = 0; bf < numFields; bf++) {
                for(int pt = 0; pt < numPoints; pt++) {
                  for( int iTens1 = 0; iTens1 < dim1Tens; iTens1++) {
                    for( int iTens2 = 0; iTens2 < dim2Tens; iTens2++) {
                      outputFieldsWrap(cl, bf, pt, iTens1, iTens2) = inputFieldsWrap(cl, bf, pt, iTens1, iTens2)/inputDataWrap(cl, 0);
                    } // D2-loop
                  } // D1-loop
                } // F-loop
              } // P-loop
            } // C-loop
          }
          else {
            for(int cl = 0; cl < numCells; cl++) {
              for(int bf = 0; bf < numFields; bf++) {
                for(int pt = 0; pt < numPoints; pt++) {
                  for( int iTens1 = 0; iTens1 < dim1Tens; iTens1++) {
                    for( int iTens2 = 0; iTens2 < dim2Tens; iTens2++) {
                      outputFieldsWrap(cl, bf, pt, iTens1, iTens2) = inputFieldsWrap(cl, bf, pt, iTens1, iTens2)*inputDataWrap(cl, 0);
                    } // D2-loop
                  } // D1-loop
                } // F-loop
              } // P-loop
            } // C-loop
          }
        }// case 5
        break;

        default:
              TEUCHOS_TEST_FOR_EXCEPTION( !( (invalRank == 3) || (invalRank == 4) || (invalRank == 5) ), std::invalid_argument,
                                  ">>> ERROR (ArrayTools::scalarMultiplyDataField): This branch of the method is defined only for rank-3, 4 or 5 input containers.");

      } // invalRank
    } // numDataPoints

  }
  else {

    if (numDataPoints != 1) { // nonconstant data

      switch(invalRank) {
        case 2: {
          if (reciprocal) {
            for(int cl = 0; cl < numCells; cl++) {
              for(int bf = 0; bf < numFields; bf++) {
                for(int pt = 0; pt < numPoints; pt++) {
                  outputFieldsWrap(cl, bf, pt) = inputFieldsWrap(bf, pt)/inputDataWrap(cl, pt);
                } // P-loop
              } // F-loop
            } // C-loop
          }
          else {
            for(int cl = 0; cl < numCells; cl++) {
              for(int bf = 0; bf < numFields; bf++) {
                for(int pt = 0; pt < numPoints; pt++) {
                  outputFieldsWrap(cl, bf, pt) = inputFieldsWrap(bf, pt)*inputDataWrap(cl, pt);
                } // P-loop
              } // F-loop
            } // C-loop
          }
        }// case 2
        break;

        case 3: {
          if (reciprocal) {
            for(int cl = 0; cl < numCells; cl++) {
              for(int bf = 0; bf < numFields; bf++) {
                for(int pt = 0; pt < numPoints; pt++) {
                  for( int iVec = 0; iVec < dim1Tens; iVec++) {
                    outputFieldsWrap(cl, bf, pt, iVec) = inputFieldsWrap(bf, pt, iVec)/inputDataWrap(cl, pt);
                  } // D1-loop
                } // P-loop
              } // F-loop
            } // C-loop
          }
          else {
            for(int cl = 0; cl < numCells; cl++) {
              for(int bf = 0; bf < numFields; bf++) {
                for(int pt = 0; pt < numPoints; pt++) {
                  for( int iVec = 0; iVec < dim1Tens; iVec++) {
                    outputFieldsWrap(cl, bf, pt, iVec) = inputFieldsWrap(bf, pt, iVec)*inputDataWrap(cl, pt);
                  } // D1-loop
                } // P-loop
              } // F-loop
            } // C-loop
          }
        }// case 3
        break;

        case 4: {
          if (reciprocal) {
            for(int cl = 0; cl < numCells; cl++) {
              for(int bf = 0; bf < numFields; bf++) {
                for(int pt = 0; pt < numPoints; pt++) {
                  for( int iTens1 = 0; iTens1 < dim1Tens; iTens1++) {
                    for( int iTens2 = 0; iTens2 < dim2Tens; iTens2++) {
                      outputFieldsWrap(cl, bf, pt, iTens1, iTens2) = inputFieldsWrap(bf, pt, iTens1, iTens2)/inputDataWrap(cl, pt);
                    } // D2-loop
                  } // D1-loop
                } // F-loop
              } // P-loop
            } // C-loop
          }
          else {
            for(int cl = 0; cl < numCells; cl++) {
              for(int bf = 0; bf < numFields; bf++) {
                for(int pt = 0; pt < numPoints; pt++) {
                  for( int iTens1 = 0; iTens1 < dim1Tens; iTens1++) {
                    for( int iTens2 = 0; iTens2 < dim2Tens; iTens2++) {
                      outputFieldsWrap(cl, bf, pt, iTens1, iTens2) = inputFieldsWrap(bf, pt, iTens1, iTens2)*inputDataWrap(cl, pt);
                    } // D2-loop
                  } // D1-loop
                } // F-loop
              } // P-loop
            } // C-loop
          }
        }// case 4
        break;

        default:
              TEUCHOS_TEST_FOR_EXCEPTION( !( (invalRank == 2) || (invalRank == 3) || (invalRank == 4) ), std::invalid_argument,
                                  ">>> ERROR (ArrayTools::scalarMultiplyDataField): This branch of the method is defined only for rank-2, 3 or 4 input containers.");
      }// invalRank

    }
    else { //constant data

      switch(invalRank) {
        case 2: {
          if (reciprocal) {
            for(int cl = 0; cl < numCells; cl++) {
              for(int bf = 0; bf < numFields; bf++) {
                for(int pt = 0; pt < numPoints; pt++) {
                  outputFieldsWrap(cl, bf, pt) = inputFieldsWrap(bf, pt)/inputDataWrap(cl, 0);
                } // P-loop
              } // F-loop
            } // C-loop
          }
          else {
            for(int cl = 0; cl < numCells; cl++) {
              for(int bf = 0; bf < numFields; bf++) {
                for(int pt = 0; pt < numPoints; pt++) {
                  outputFieldsWrap(cl, bf, pt) = inputFieldsWrap(bf, pt)*inputDataWrap(cl, 0);
                } // P-loop
              } // F-loop
            } // C-loop
          }
        }// case 2
        break;

        case 3: {
          if (reciprocal) {
            for(int cl = 0; cl < numCells; cl++) {
              for(int bf = 0; bf < numFields; bf++) {
                for(int pt = 0; pt < numPoints; pt++) {
                  for( int iVec = 0; iVec < dim1Tens; iVec++) {
                    outputFieldsWrap(cl, bf, pt, iVec) = inputFieldsWrap(bf, pt, iVec)/inputDataWrap(cl, 0);
                  } // D1-loop
                } // P-loop
              } // F-loop
            } // C-loop
          }
          else {
            for(int cl = 0; cl < numCells; cl++) {
              for(int bf = 0; bf < numFields; bf++) {
                for(int pt = 0; pt < numPoints; pt++) {
                  for( int iVec = 0; iVec < dim1Tens; iVec++) {
                    outputFieldsWrap(cl, bf, pt, iVec) = inputFieldsWrap(bf, pt, iVec)*inputDataWrap(cl, 0);
                  } // D1-loop
                } // P-loop
              } // F-loop
            } // C-loop
          }
        }// case 3
        break;

        case 4: {
          if (reciprocal) {
            for(int cl = 0; cl < numCells; cl++) {
              for(int bf = 0; bf < numFields; bf++) {
                for(int pt = 0; pt < numPoints; pt++) {
                  for( int iTens1 = 0; iTens1 < dim1Tens; iTens1++) {
                    for( int iTens2 = 0; iTens2 < dim2Tens; iTens2++) {
                      outputFieldsWrap(cl, bf, pt, iTens1, iTens2) = inputFieldsWrap(bf, pt, iTens1, iTens2)/inputDataWrap(cl, 0);
                    } // D2-loop
                  } // D1-loop
                } // F-loop
              } // P-loop
            } // C-loop
          }
          else {
            for(int cl = 0; cl < numCells; cl++) {
              for(int bf = 0; bf < numFields; bf++) {
                for(int pt = 0; pt < numPoints; pt++) {
                  for( int iTens1 = 0; iTens1 < dim1Tens; iTens1++) {
                    for( int iTens2 = 0; iTens2 < dim2Tens; iTens2++) {
                      outputFieldsWrap(cl, bf, pt, iTens1, iTens2) = inputFieldsWrap(bf, pt, iTens1, iTens2)*inputDataWrap(cl, 0);
                    } // D2-loop
                  } // D1-loop
                } // F-loop
              } // P-loop
            } // C-loop
          }
        }// case 4
        break;

        default:
              TEUCHOS_TEST_FOR_EXCEPTION( !( (invalRank == 2) || (invalRank == 3) || (invalRank == 3) ), std::invalid_argument,
                                  ">>> ERROR (ArrayTools::scalarMultiplyDataField): This branch of the method is defined only for rank-2, 3 or 4 input containers.");

      } // invalRank
    } // numDataPoints

  } // end if (outvalRank = invalRank)

} // scalarMultiplyDataField

template<class Scalar, class ArrayOutData, class ArrayInDataLeft, class ArrayInDataRight>
void ArrayTools::scalarMultiplyDataData(ArrayOutData &           outputData,
                                        const ArrayInDataLeft &        inputDataLeft,
                                        const ArrayInDataRight &       inputDataRight,
                                        const bool               reciprocal) {

#ifdef HAVE_INTREPID_DEBUG
  TEUCHOS_TEST_FOR_EXCEPTION( (getrank(inputDataLeft) != 2), std::invalid_argument,
                              ">>> ERROR (ArrayTools::scalarMultiplyDataData): Left input data container must have rank 2.");
  if (getrank(outputData) <= getrank(inputDataRight)) {
    TEUCHOS_TEST_FOR_EXCEPTION( ( (getrank(inputDataRight) < 2) || (getrank(inputDataRight) > 4) ), std::invalid_argument,
                                ">>> ERROR (ArrayTools::scalarMultiplyDataData): Right input data container must have rank 2, 3, or 4.");
    TEUCHOS_TEST_FOR_EXCEPTION( (getrank(outputData) != getrank(inputDataRight)), std::invalid_argument,
                                ">>> ERROR (ArrayTools::scalarMultiplyDataData): Right input and output data containers must have the same rank.");
    TEUCHOS_TEST_FOR_EXCEPTION( (inputDataRight.dimension(0) != inputDataLeft.dimension(0) ), std::invalid_argument,
                                ">>> ERROR (ArrayTools::scalarMultiplyDataData): Zeroth dimensions (number of integration domains) of the left and right data input containers must agree!");
    TEUCHOS_TEST_FOR_EXCEPTION( ( (inputDataRight.dimension(1) != inputDataLeft.dimension(1)) && (inputDataLeft.dimension(1) != 1) ), std::invalid_argument,
                                ">>> ERROR (ArrayTools::scalarMultiplyDataData): First dimensions of the left and right data input containers (number of integration points) must agree or first dimension of the left data input container must be 1!");
    for (size_t i=0; i<getrank(inputDataRight); i++) {
      std::string errmsg  = ">>> ERROR (ArrayTools::scalarMultiplyDataData): Dimension ";
      errmsg += (char)(48+i);
      errmsg += " of the right input and output data containers must agree!";
      TEUCHOS_TEST_FOR_EXCEPTION( (inputDataRight.dimension(i) != outputData.dimension(i)), std::invalid_argument, errmsg );
    }
  }
  else {
    TEUCHOS_TEST_FOR_EXCEPTION( ( (getrank(inputDataRight) < 1) || (getrank(inputDataRight) > 3) ), std::invalid_argument,
                                ">>> ERROR (ArrayTools::scalarMultiplyDataData): Right input data container must have rank 1, 2, or 3.");
    TEUCHOS_TEST_FOR_EXCEPTION( (getrank(outputData) != getrank(inputDataRight)+1), std::invalid_argument,
                                ">>> ERROR (ArrayTools::scalarMultiplyDataData): The rank of the right input data container must be one less than the rank of the output data container.");
    TEUCHOS_TEST_FOR_EXCEPTION( ( (inputDataRight.dimension(0) != inputDataLeft.dimension(1)) && (inputDataLeft.dimension(1) != 1) ), std::invalid_argument,
                                ">>> ERROR (ArrayTools::scalarMultiplyDataData): Zeroth dimension of the right input data container and first dimension of the left data input container (number of integration points) must agree or first dimension of the left data input container must be 1!");
    TEUCHOS_TEST_FOR_EXCEPTION( ( inputDataLeft.dimension(0) != outputData.dimension(0) ), std::invalid_argument,
                                ">>> ERROR (ArrayTools::scalarMultiplyDataData): Zeroth dimensions of data output and left data input containers (number of integration domains) must agree!");
    for (size_t i=0; i<getrank(inputDataRight); i++) {
      std::string errmsg  = ">>> ERROR (ArrayTools::scalarMultiplyDataData): Dimensions ";
      errmsg += (char)(48+i);
      errmsg += " and ";
      errmsg += (char)(48+i+1);
      errmsg += " of the right input and output data containers must agree!";
      TEUCHOS_TEST_FOR_EXCEPTION( (inputDataRight.dimension(i) != outputData.dimension(i+1)), std::invalid_argument, errmsg );
    }
  }
#endif


   ArrayWrapper<Scalar,ArrayOutData, Rank<ArrayOutData >::value, false>outputDataWrap(outputData);
   ArrayWrapper<Scalar,ArrayInDataLeft, Rank<ArrayInDataLeft >::value, true>inputDataLeftWrap(inputDataLeft);
   ArrayWrapper<Scalar,ArrayInDataRight, Rank<ArrayInDataRight >::value,true>inputDataRightWrap(inputDataRight);                                                                                


  // get sizes
  size_t invalRank      = getrank(inputDataRight);
  size_t outvalRank     = getrank(outputData);
  int numCells       = outputData.dimension(0);
  int numPoints      = outputData.dimension(1);
  int numDataPoints  = inputDataLeft.dimension(1);
  int dim1Tens       = 0;
  int dim2Tens       = 0;
  if (outvalRank > 2) {
    dim1Tens = outputData.dimension(2);
    if (outvalRank > 3) {
      dim2Tens = outputData.dimension(3);
    }
  }

  if (outvalRank == invalRank) {

    if (numDataPoints != 1) { // nonconstant data

      switch(invalRank) {
        case 2: {
          if (reciprocal) {
            for(int cl = 0; cl < numCells; cl++) {
              for(int pt = 0; pt < numPoints; pt++) {
                  outputDataWrap(cl, pt) = inputDataRightWrap(cl, pt)/inputDataLeftWrap(cl, pt);
              } // P-loop
            } // C-loop
          }
          else {
            for(int cl = 0; cl < numCells; cl++) {
              for(int pt = 0; pt < numPoints; pt++) {
                  outputDataWrap(cl, pt) = inputDataRightWrap(cl, pt)*inputDataLeftWrap(cl, pt);
              } // P-loop
            } // C-loop
          }
        }// case 2
        break;

        case 3: {
          if (reciprocal) {
            for(int cl = 0; cl < numCells; cl++) {
              for(int pt = 0; pt < numPoints; pt++) {
                for( int iVec = 0; iVec < dim1Tens; iVec++) {
                    outputDataWrap(cl, pt, iVec) = inputDataRightWrap(cl, pt, iVec)/inputDataLeftWrap(cl, pt);
                } // D1-loop
              } // P-loop
            } // C-loop
          }
          else {
            for(int cl = 0; cl < numCells; cl++) {
              for(int pt = 0; pt < numPoints; pt++) {
                for( int iVec = 0; iVec < dim1Tens; iVec++) {
                    outputDataWrap(cl, pt, iVec) = inputDataRightWrap(cl, pt, iVec)*inputDataLeftWrap(cl, pt);
                } // D1-loop
              } // P-loop
            } // C-loop
          }
        }// case 3
        break;

        case 4: {
          if (reciprocal) {
            for(int cl = 0; cl < numCells; cl++) {
              for(int pt = 0; pt < numPoints; pt++) {
                for( int iTens1 = 0; iTens1 < dim1Tens; iTens1++) {
                  for( int iTens2 = 0; iTens2 < dim2Tens; iTens2++) {
                      outputDataWrap(cl, pt, iTens1, iTens2) = inputDataRightWrap(cl, pt, iTens1, iTens2)/inputDataLeftWrap(cl, pt);
                  } // D2-loop
                } // D1-loop
              } // P-loop
            } // C-loop
          }
          else {
            for(int cl = 0; cl < numCells; cl++) {
              for(int pt = 0; pt < numPoints; pt++) {
                for( int iTens1 = 0; iTens1 < dim1Tens; iTens1++) {
                  for( int iTens2 = 0; iTens2 < dim2Tens; iTens2++) {
                      outputDataWrap(cl, pt, iTens1, iTens2) = inputDataRightWrap(cl, pt, iTens1, iTens2)*inputDataLeftWrap(cl, pt);
                  } // D2-loop
                } // D1-loop
              } // P-loop
            } // C-loop
          }
        }// case 4
        break;

        default:
              TEUCHOS_TEST_FOR_EXCEPTION( !( (invalRank == 2) || (invalRank == 3) || (invalRank == 4) ), std::invalid_argument,
                                  ">>> ERROR (ArrayTools::scalarMultiplyDataData): This branch of the method is defined only for rank-2, 3 or 4 containers.");
      }// invalRank

    }
    else { // constant left data

      switch(invalRank) {
        case 2: {
          if (reciprocal) {
            for(int cl = 0; cl < numCells; cl++) {
              for(int pt = 0; pt < numPoints; pt++) {
                  outputDataWrap(cl, pt) = inputDataRightWrap(cl, pt)/inputDataLeftWrap(cl, 0);
              } // P-loop
            } // C-loop
          }
          else {
            for(int cl = 0; cl < numCells; cl++) {
              for(int pt = 0; pt < numPoints; pt++) {
                  outputDataWrap(cl, pt) = inputDataRightWrap(cl, pt)*inputDataLeftWrap(cl, 0);
              } // P-loop
            } // C-loop
          }
        }// case 2
        break;

        case 3: {
          if (reciprocal) {
            for(int cl = 0; cl < numCells; cl++) {
              for(int pt = 0; pt < numPoints; pt++) {
                for( int iVec = 0; iVec < dim1Tens; iVec++) {
                    outputDataWrap(cl, pt, iVec) = inputDataRightWrap(cl, pt, iVec)/inputDataLeftWrap(cl, 0);
                } // D1-loop
              } // P-loop
            } // C-loop
          }
          else {
            for(int cl = 0; cl < numCells; cl++) {
              for(int pt = 0; pt < numPoints; pt++) {
                for( int iVec = 0; iVec < dim1Tens; iVec++) {
                    outputDataWrap(cl, pt, iVec) = inputDataRightWrap(cl, pt, iVec)*inputDataLeftWrap(cl, 0);
                } // D1-loop
              } // P-loop
            } // C-loop
          }
        }// case 3
        break;

        case 4: {
          if (reciprocal) {
            for(int cl = 0; cl < numCells; cl++) {
              for(int pt = 0; pt < numPoints; pt++) {
                for( int iTens1 = 0; iTens1 < dim1Tens; iTens1++) {
                  for( int iTens2 = 0; iTens2 < dim2Tens; iTens2++) {
                      outputDataWrap(cl, pt, iTens1, iTens2) = inputDataRightWrap(cl, pt, iTens1, iTens2)/inputDataLeftWrap(cl, 0);
                  } // D2-loop
                } // D1-loop
              } // P-loop
            } // C-loop
          }
          else {
            for(int cl = 0; cl < numCells; cl++) {
              for(int pt = 0; pt < numPoints; pt++) {
                for( int iTens1 = 0; iTens1 < dim1Tens; iTens1++) {
                  for( int iTens2 = 0; iTens2 < dim2Tens; iTens2++) {
                      outputDataWrap(cl, pt, iTens1, iTens2) = inputDataRightWrap(cl, pt, iTens1, iTens2)*inputDataLeftWrap(cl, 0);
                  } // D2-loop
                } // D1-loop
              } // P-loop
            } // C-loop
          }
        }// case 4
        break;

        default:
              TEUCHOS_TEST_FOR_EXCEPTION( !( (invalRank == 2) || (invalRank == 3) || (invalRank == 4) ), std::invalid_argument,
                                  ">>> ERROR (ArrayTools::scalarMultiplyDataData): This branch of the method is defined only for rank-2, 3 or 4 input containers.");

      } // invalRank
    } // numDataPoints

  }
  else {

    if (numDataPoints != 1) { // nonconstant data

      switch(invalRank) {
        case 1: {
          if (reciprocal) {
            for(int cl = 0; cl < numCells; cl++) {
              for(int pt = 0; pt < numPoints; pt++) {
                  outputDataWrap(cl, pt) = inputDataRightWrap(pt)/inputDataLeftWrap(cl, pt);
              } // P-loop
            } // C-loop
          }
          else {
            for(int cl = 0; cl < numCells; cl++) {
              for(int pt = 0; pt < numPoints; pt++) {
                  outputDataWrap(cl, pt) = inputDataRightWrap(pt)*inputDataLeftWrap(cl, pt);
              } // P-loop
            } // C-loop
          }
        }// case 1
        break;

        case 2: {
          if (reciprocal) {
            for(int cl = 0; cl < numCells; cl++) {
              for(int pt = 0; pt < numPoints; pt++) {
                for( int iVec = 0; iVec < dim1Tens; iVec++) {
                    outputDataWrap(cl, pt, iVec) = inputDataRightWrap(pt, iVec)/inputDataLeftWrap(cl, pt);
                } // D1-loop
              } // P-loop
            } // C-loop
          }
          else {
            for(int cl = 0; cl < numCells; cl++) {
              for(int pt = 0; pt < numPoints; pt++) {
                for( int iVec = 0; iVec < dim1Tens; iVec++) {
                    outputDataWrap(cl, pt, iVec) = inputDataRightWrap(pt, iVec)*inputDataLeftWrap(cl, pt);
                } // D1-loop
              } // P-loop
            } // C-loop
          }
        }// case 2
        break;

        case 3: {
          if (reciprocal) {
            for(int cl = 0; cl < numCells; cl++) {
              for(int pt = 0; pt < numPoints; pt++) {
                for( int iTens1 = 0; iTens1 < dim1Tens; iTens1++) {
                  for( int iTens2 = 0; iTens2 < dim2Tens; iTens2++) {
                      outputDataWrap(cl, pt, iTens1, iTens2) = inputDataRightWrap(pt, iTens1, iTens2)/inputDataLeftWrap(cl, pt);
                  } // D2-loop
                } // D1-loop
              } // P-loop
            } // C-loop
          }
          else {
            for(int cl = 0; cl < numCells; cl++) {
              for(int pt = 0; pt < numPoints; pt++) {
                for( int iTens1 = 0; iTens1 < dim1Tens; iTens1++) {
                  for( int iTens2 = 0; iTens2 < dim2Tens; iTens2++) {
                      outputDataWrap(cl, pt, iTens1, iTens2) = inputDataRightWrap(pt, iTens1, iTens2)*inputDataLeftWrap(cl, pt);
                  } // D2-loop
                } // D1-loop
              } // P-loop
            } // C-loop
          }
        }// case 3
        break;

        default:
              TEUCHOS_TEST_FOR_EXCEPTION( !( (invalRank == 1) || (invalRank == 2) || (invalRank == 3) ), std::invalid_argument,
                                  ">>> ERROR (ArrayTools::scalarMultiplyDataData): This branch of the method is defined only for rank-1, 2 or 3 input containers.");
      }// invalRank

    }
    else { //constant data

      switch(invalRank) {
        case 1: {
          if (reciprocal) {
            for(int cl = 0; cl < numCells; cl++) {
              for(int pt = 0; pt < numPoints; pt++) {
                  outputDataWrap(cl, pt) = inputDataRightWrap(pt)/inputDataLeftWrap(cl, 0);
              } // P-loop
            } // C-loop
          }
          else {
            for(int cl = 0; cl < numCells; cl++) {
              for(int pt = 0; pt < numPoints; pt++) {
                  outputDataWrap(cl, pt) = inputDataRightWrap(pt)*inputDataLeftWrap(cl, 0);
              } // P-loop
            } // C-loop
          }
        }// case 1
        break;

        case 2: {
          if (reciprocal) {
            for(int cl = 0; cl < numCells; cl++) {
              for(int pt = 0; pt < numPoints; pt++) {
                  for( int iVec = 0; iVec < dim1Tens; iVec++) {
                    outputDataWrap(cl, pt, iVec) = inputDataRightWrap(pt, iVec)/inputDataLeftWrap(cl, 0);
                } // D1-loop
              } // P-loop
            } // C-loop
          }
          else {
            for(int cl = 0; cl < numCells; cl++) {
              for(int pt = 0; pt < numPoints; pt++) {
                for( int iVec = 0; iVec < dim1Tens; iVec++) {
                    outputDataWrap(cl, pt, iVec) = inputDataRightWrap(pt, iVec)*inputDataLeftWrap(cl, 0);
                } // D1-loop
              } // P-loop
            } // C-loop
          }
        }// case 2
        break;

        case 3: {
          if (reciprocal) {
            for(int cl = 0; cl < numCells; cl++) {
              for(int pt = 0; pt < numPoints; pt++) {
                for( int iTens1 = 0; iTens1 < dim1Tens; iTens1++) {
                  for( int iTens2 = 0; iTens2 < dim2Tens; iTens2++) {
                      outputDataWrap(cl, pt, iTens1, iTens2) = inputDataRightWrap(pt, iTens1, iTens2)/inputDataLeftWrap(cl, 0);
                  } // D2-loop
                } // D1-loop
              } // P-loop
            } // C-loop
          }
          else {
            for(int cl = 0; cl < numCells; cl++) {
              for(int pt = 0; pt < numPoints; pt++) {
                for( int iTens1 = 0; iTens1 < dim1Tens; iTens1++) {
                  for( int iTens2 = 0; iTens2 < dim2Tens; iTens2++) {
                      outputDataWrap(cl, pt, iTens1, iTens2) = inputDataRightWrap(pt, iTens1, iTens2)*inputDataLeftWrap(cl, 0);
                  } // D2-loop
                } // D1-loop
              } // P-loop
            } // C-loop
          }
        }// case 3
        break;

        default:
              TEUCHOS_TEST_FOR_EXCEPTION( !( (invalRank == 1) || (invalRank == 2) || (invalRank == 3) ), std::invalid_argument,
                                  ">>> ERROR (ArrayTools::scalarMultiplyDataData): This branch of the method is defined only for rank-1, 2 or 3 input containers.");

      } // invalRank
    } // numDataPoints

  } // end if (outvalRank = invalRank)

} // scalarMultiplyDataData
} // end namespace Intrepid
#endif