xref: /libCEED/tests/t524-operator.c (revision 2b730f8b5a9c809740a0b3b302db43a719c636b1)

/// @file
/// Test CeedOperatorApplyAdd for composite operator
/// \test CeedOperatorApplyAdd for composite operator
#include <ceed.h>
#include <math.h>
#include <stdlib.h>

#include "t320-basis.h"
#include "t510-operator.h"

/* The mesh comprises of two rows of 3 quadralaterals followed by one row
     of 6 triangles:
   _ _ _
  |_|_|_|
  |_|_|_|
  |/|/|/|

*/

int main(int argc, char **argv) {
  Ceed                ceed;
  CeedElemRestriction elem_restr_x_tet, elem_restr_u_tet, elem_restr_qd_i_tet, elem_restr_x_hex, elem_restr_u_hex, elem_restr_qd_i_hex;
  CeedBasis           basis_x_tet, basis_u_tet, basis_x_hex, basis_u_hex;
  CeedQFunction       qf_setup_tet, qf_mass_tet, qf_setup_hex, qf_mass_hex;
  CeedOperator        op_setup_tet, op_mass_tet, op_setup_hex, op_mass_hex, op_setup, op_mass;
  CeedVector          q_data_tet, q_data_hex, X, U, V;
  const CeedScalar   *hv;
  CeedInt             nelem_tet = 6, P_tet = 6, Q_tet = 4, nelem_hex = 6, P_hex = 3, Q_hex = 4, dim = 2;
  CeedInt             nx = 3, ny = 3, nx_tet = 3, ny_tet = 1, nx_hex = 3;
  CeedInt             row, col, offset;
  CeedInt             num_dofs = (nx * 2 + 1) * (ny * 2 + 1), num_qpts_tet = nelem_tet * Q_tet, num_qpts_hex = nelem_hex * Q_hex * Q_hex;
  CeedInt             ind_x_tet[nelem_tet * P_tet], ind_x_hex[nelem_hex * P_hex * P_hex];
  CeedScalar          x[dim * num_dofs];
  CeedScalar          q_ref[dim * Q_tet], q_weight[Q_tet];
  CeedScalar          interp[P_tet * Q_tet], grad[dim * P_tet * Q_tet];
  CeedScalar          sum;

  CeedInit(argv[1], &ceed);

  // DoF Coordinates
  for (CeedInt i = 0; i < ny * 2 + 1; i++) {
    for (CeedInt j = 0; j < nx * 2 + 1; j++) {
      x[i + j * (ny * 2 + 1) + 0 * num_dofs] = (CeedScalar)i / (2 * ny);
      x[i + j * (ny * 2 + 1) + 1 * num_dofs] = (CeedScalar)j / (2 * nx);
    }
  }
  CeedVectorCreate(ceed, dim * num_dofs, &X);
  CeedVectorSetArray(X, CEED_MEM_HOST, CEED_USE_POINTER, x);

  // Qdata Vectors
  CeedVectorCreate(ceed, num_qpts_tet, &q_data_tet);
  CeedVectorCreate(ceed, num_qpts_hex, &q_data_hex);

  // _tet Elements
  for (CeedInt i = 0; i < nelem_tet / 2; i++) {
    col    = i % nx_tet;
    row    = i / nx_tet;
    offset = col * 2 + row * (nx_tet * 2 + 1) * 2;

    ind_x_tet[i * 2 * P_tet + 0] = 2 + offset;
    ind_x_tet[i * 2 * P_tet + 1] = 9 + offset;
    ind_x_tet[i * 2 * P_tet + 2] = 16 + offset;
    ind_x_tet[i * 2 * P_tet + 3] = 1 + offset;
    ind_x_tet[i * 2 * P_tet + 4] = 8 + offset;
    ind_x_tet[i * 2 * P_tet + 5] = 0 + offset;

    ind_x_tet[i * 2 * P_tet + 6]  = 14 + offset;
    ind_x_tet[i * 2 * P_tet + 7]  = 7 + offset;
    ind_x_tet[i * 2 * P_tet + 8]  = 0 + offset;
    ind_x_tet[i * 2 * P_tet + 9]  = 15 + offset;
    ind_x_tet[i * 2 * P_tet + 10] = 8 + offset;
    ind_x_tet[i * 2 * P_tet + 11] = 16 + offset;
  }

  // -- Restrictions
  CeedElemRestrictionCreate(ceed, nelem_tet, P_tet, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x_tet, &elem_restr_x_tet);

  CeedElemRestrictionCreate(ceed, nelem_tet, P_tet, 1, 1, num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x_tet, &elem_restr_u_tet);
  CeedInt strides_qd_tet[3] = {1, Q_tet, Q_tet};
  CeedElemRestrictionCreateStrided(ceed, nelem_tet, Q_tet, 1, num_qpts_tet, strides_qd_tet, &elem_restr_qd_i_tet);

  // -- Bases
  buildmats(q_ref, q_weight, interp, grad);
  CeedBasisCreateH1(ceed, CEED_TOPOLOGY_TRIANGLE, dim, P_tet, Q_tet, interp, grad, q_ref, q_weight, &basis_x_tet);

  buildmats(q_ref, q_weight, interp, grad);
  CeedBasisCreateH1(ceed, CEED_TOPOLOGY_TRIANGLE, 1, P_tet, Q_tet, interp, grad, q_ref, q_weight, &basis_u_tet);

  // -- QFunctions
  CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup_tet);
  CeedQFunctionAddInput(qf_setup_tet, "weight", 1, CEED_EVAL_WEIGHT);
  CeedQFunctionAddInput(qf_setup_tet, "dx", dim * dim, CEED_EVAL_GRAD);
  CeedQFunctionAddOutput(qf_setup_tet, "rho", 1, CEED_EVAL_NONE);

  CeedQFunctionCreateInterior(ceed, 1, mass, mass_loc, &qf_mass_tet);
  CeedQFunctionAddInput(qf_mass_tet, "rho", 1, CEED_EVAL_NONE);
  CeedQFunctionAddInput(qf_mass_tet, "u", 1, CEED_EVAL_INTERP);
  CeedQFunctionAddOutput(qf_mass_tet, "v", 1, CEED_EVAL_INTERP);

  // -- Operators
  // ---- Setup _tet
  CeedOperatorCreate(ceed, qf_setup_tet, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_tet);
  CeedOperatorSetField(op_setup_tet, "weight", CEED_ELEMRESTRICTION_NONE, basis_x_tet, CEED_VECTOR_NONE);
  CeedOperatorSetField(op_setup_tet, "dx", elem_restr_x_tet, basis_x_tet, CEED_VECTOR_ACTIVE);
  CeedOperatorSetField(op_setup_tet, "rho", elem_restr_qd_i_tet, CEED_BASIS_COLLOCATED, q_data_tet);
  // ---- Mass _tet
  CeedOperatorCreate(ceed, qf_mass_tet, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_mass_tet);
  CeedOperatorSetField(op_mass_tet, "rho", elem_restr_qd_i_tet, CEED_BASIS_COLLOCATED, q_data_tet);
  CeedOperatorSetField(op_mass_tet, "u", elem_restr_u_tet, basis_u_tet, CEED_VECTOR_ACTIVE);
  CeedOperatorSetField(op_mass_tet, "v", elem_restr_u_tet, basis_u_tet, CEED_VECTOR_ACTIVE);

  // _hex Elements
  for (CeedInt i = 0; i < nelem_hex; i++) {
    col    = i % nx_hex;
    row    = i / nx_hex;
    offset = (nx_tet * 2 + 1) * (ny_tet * 2) * (1 + row) + col * 2;
    for (CeedInt j = 0; j < P_hex; j++) {
      for (CeedInt k = 0; k < P_hex; k++) ind_x_hex[P_hex * (P_hex * i + k) + j] = offset + k * (nx_hex * 2 + 1) + j;
    }
  }

  // -- Restrictions
  CeedElemRestrictionCreate(ceed, nelem_hex, P_hex * P_hex, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x_hex,
                            &elem_restr_x_hex);

  CeedElemRestrictionCreate(ceed, nelem_hex, P_hex * P_hex, 1, 1, num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x_hex, &elem_restr_u_hex);
  CeedInt strides_qd_hex[3] = {1, Q_hex * Q_hex, Q_hex * Q_hex};
  CeedElemRestrictionCreateStrided(ceed, nelem_hex, Q_hex * Q_hex, 1, num_qpts_hex, strides_qd_hex, &elem_restr_qd_i_hex);

  // -- Bases
  CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, P_hex, Q_hex, CEED_GAUSS, &basis_x_hex);
  CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, P_hex, Q_hex, CEED_GAUSS, &basis_u_hex);

  // -- QFunctions
  CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup_hex);
  CeedQFunctionAddInput(qf_setup_hex, "weight", 1, CEED_EVAL_WEIGHT);
  CeedQFunctionAddInput(qf_setup_hex, "dx", dim * dim, CEED_EVAL_GRAD);
  CeedQFunctionAddOutput(qf_setup_hex, "rho", 1, CEED_EVAL_NONE);

  CeedQFunctionCreateInterior(ceed, 1, mass, mass_loc, &qf_mass_hex);
  CeedQFunctionAddInput(qf_mass_hex, "rho", 1, CEED_EVAL_NONE);
  CeedQFunctionAddInput(qf_mass_hex, "u", 1, CEED_EVAL_INTERP);
  CeedQFunctionAddOutput(qf_mass_hex, "v", 1, CEED_EVAL_INTERP);

  // -- Operators
  CeedOperatorCreate(ceed, qf_setup_hex, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_hex);
  CeedOperatorSetField(op_setup_hex, "weight", CEED_ELEMRESTRICTION_NONE, basis_x_hex, CEED_VECTOR_NONE);
  CeedOperatorSetField(op_setup_hex, "dx", elem_restr_x_hex, basis_x_hex, CEED_VECTOR_ACTIVE);
  CeedOperatorSetField(op_setup_hex, "rho", elem_restr_qd_i_hex, CEED_BASIS_COLLOCATED, q_data_hex);

  CeedOperatorCreate(ceed, qf_mass_hex, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_mass_hex);
  CeedOperatorSetField(op_mass_hex, "rho", elem_restr_qd_i_hex, CEED_BASIS_COLLOCATED, q_data_hex);
  CeedOperatorSetField(op_mass_hex, "u", elem_restr_u_hex, basis_u_hex, CEED_VECTOR_ACTIVE);
  CeedOperatorSetField(op_mass_hex, "v", elem_restr_u_hex, basis_u_hex, CEED_VECTOR_ACTIVE);

  // Composite Operators
  CeedCompositeOperatorCreate(ceed, &op_setup);
  CeedCompositeOperatorAddSub(op_setup, op_setup_tet);
  CeedCompositeOperatorAddSub(op_setup, op_setup_hex);

  CeedCompositeOperatorCreate(ceed, &op_mass);
  CeedCompositeOperatorAddSub(op_mass, op_mass_tet);
  CeedCompositeOperatorAddSub(op_mass, op_mass_hex);

  // Apply Setup Operator
  CeedOperatorApply(op_setup, X, CEED_VECTOR_NONE, CEED_REQUEST_IMMEDIATE);

  // Apply Mass Operator
  CeedVectorCreate(ceed, num_dofs, &U);
  CeedVectorSetValue(U, 1.0);
  CeedVectorCreate(ceed, num_dofs, &V);
  CeedVectorSetValue(V, 0.0);

  // Apply
  CeedOperatorApplyAdd(op_mass, U, V, CEED_REQUEST_IMMEDIATE);

  // Check output
  CeedVectorGetArrayRead(V, CEED_MEM_HOST, &hv);
  sum = 0.;
  for (CeedInt i = 0; i < num_dofs; i++) sum += hv[i];
  if (fabs(sum - 1.) > 1000. * CEED_EPSILON) printf("Computed Area: %f != True Area: 1.0\n", sum);
  CeedVectorRestoreArrayRead(V, &hv);

  // Apply Add
  CeedVectorSetValue(V, 1.0);
  CeedOperatorApplyAdd(op_mass, U, V, CEED_REQUEST_IMMEDIATE);

  // Check output
  CeedVectorGetArrayRead(V, CEED_MEM_HOST, &hv);
  sum = -num_dofs;
  for (CeedInt i = 0; i < num_dofs; i++) sum += hv[i];
  if (fabs(sum - 1.) > 1000. * CEED_EPSILON) printf("Computed Area: %f != True Area: 1.0\n", sum);
  CeedVectorRestoreArrayRead(V, &hv);

  // Cleanup
  CeedQFunctionDestroy(&qf_setup_tet);
  CeedQFunctionDestroy(&qf_mass_tet);
  CeedOperatorDestroy(&op_setup_tet);
  CeedOperatorDestroy(&op_mass_tet);
  CeedQFunctionDestroy(&qf_setup_hex);
  CeedQFunctionDestroy(&qf_mass_hex);
  CeedOperatorDestroy(&op_setup_hex);
  CeedOperatorDestroy(&op_mass_hex);
  CeedOperatorDestroy(&op_setup);
  CeedOperatorDestroy(&op_mass);
  CeedElemRestrictionDestroy(&elem_restr_u_tet);
  CeedElemRestrictionDestroy(&elem_restr_x_tet);
  CeedElemRestrictionDestroy(&elem_restr_qd_i_tet);
  CeedElemRestrictionDestroy(&elem_restr_u_hex);
  CeedElemRestrictionDestroy(&elem_restr_x_hex);
  CeedElemRestrictionDestroy(&elem_restr_qd_i_hex);
  CeedBasisDestroy(&basis_u_tet);
  CeedBasisDestroy(&basis_x_tet);
  CeedBasisDestroy(&basis_u_hex);
  CeedBasisDestroy(&basis_x_hex);
  CeedVectorDestroy(&X);
  CeedVectorDestroy(&U);
  CeedVectorDestroy(&V);
  CeedVectorDestroy(&q_data_tet);
  CeedVectorDestroy(&q_data_hex);
  CeedDestroy(&ceed);
  return 0;
}