/// @file
/// Test assembly of mass and Poisson operator QFunction
/// \test Test assembly of mass and Poisson operator QFunction
#include <ceed.h>
#include <stdlib.h>
#include <math.h>
#include "t532-operator.h"

int main(int argc, char **argv) {
  Ceed ceed;
  CeedElemRestriction elem_restr_x, elem_restr_u,
                      elem_restr_qd_mass_i, elem_restr_qd_diff_i, elem_restr_lin_i;
  CeedBasis basis_x, basis_u;
  CeedQFunction qf_setup_mass, qf_setup_diff, qf_apply, qf_apply_lin;
  CeedOperator op_setup_mass, op_setup_diff, op_apply, op_apply_lin;
  CeedVector q_data_mass, q_data_diff, X, A, u, v;
  CeedInt num_elem = 6, P = 3, Q = 4, dim = 2;
  CeedInt nx = 3, ny = 2;
  CeedInt num_dofs = (nx*2+1)*(ny*2+1), num_qpts = num_elem*Q*Q;
  CeedInt ind_x[num_elem*P*P];
  CeedScalar x[dim*num_dofs];

  CeedInit(argv[1], &ceed);

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

  // Qdata Vectors
  CeedVectorCreate(ceed, num_qpts, &q_data_mass);
  CeedVectorCreate(ceed, num_qpts*dim*(dim+1)/2, &q_data_diff);

  // Element Setup
  for (CeedInt i=0; i<num_elem; i++) {
    CeedInt col, row, offset;
    col = i % nx;
    row = i / nx;
    offset = col*(P-1) + row*(nx*2+1)*(P-1);
    for (CeedInt j=0; j<P; j++)
      for (CeedInt k=0; k<P; k++)
        ind_x[P*(P*i+k)+j] = offset + k*(nx*2+1) + j;
  }

  // Restrictions
  CeedElemRestrictionCreate(ceed, num_elem, P*P, dim, num_dofs, dim*num_dofs,
                            CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restr_x);

  CeedElemRestrictionCreate(ceed, num_elem, P*P, 1, 1, num_dofs, CEED_MEM_HOST,
                            CEED_USE_POINTER, ind_x, &elem_restr_u);
  CeedInt strides_qd_mass[3] = {1, Q*Q, Q*Q};
  CeedElemRestrictionCreateStrided(ceed, num_elem, Q*Q, 1, num_qpts,
                                   strides_qd_mass,
                                   &elem_restr_qd_mass_i);

  CeedInt strides_qd_diff[3] = {1, Q*Q, Q *Q *dim *(dim+1)/2};
  CeedElemRestrictionCreateStrided(ceed, num_elem, Q*Q, dim*(dim+1)/2,
                                   dim*(dim+1)/2*num_qpts,
                                   strides_qd_diff, &elem_restr_qd_diff_i);

  // Bases
  CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, P, Q, CEED_GAUSS, &basis_x);
  CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, P, Q, CEED_GAUSS, &basis_u);

  // QFunction - setup mass
  CeedQFunctionCreateInterior(ceed, 1, setup_mass, setup_mass_loc,
                              &qf_setup_mass);
  CeedQFunctionAddInput(qf_setup_mass, "dx", dim*dim, CEED_EVAL_GRAD);
  CeedQFunctionAddInput(qf_setup_mass, "_weight", 1, CEED_EVAL_WEIGHT);
  CeedQFunctionAddOutput(qf_setup_mass, "qdata", 1, CEED_EVAL_NONE);

  // Operator - setup mass
  CeedOperatorCreate(ceed, qf_setup_mass, CEED_QFUNCTION_NONE,
                     CEED_QFUNCTION_NONE, &op_setup_mass);
  CeedOperatorSetField(op_setup_mass, "dx", elem_restr_x, basis_x,
                       CEED_VECTOR_ACTIVE);
  CeedOperatorSetField(op_setup_mass, "_weight", CEED_ELEMRESTRICTION_NONE,
                       basis_x,
                       CEED_VECTOR_NONE);
  CeedOperatorSetField(op_setup_mass, "qdata", elem_restr_qd_mass_i,
                       CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE);

  // QFunction - setup diff
  CeedQFunctionCreateInterior(ceed, 1, setup_diff, setup_diff_loc,
                              &qf_setup_diff);
  CeedQFunctionAddInput(qf_setup_diff, "dx", dim*dim, CEED_EVAL_GRAD);
  CeedQFunctionAddInput(qf_setup_diff, "_weight", 1, CEED_EVAL_WEIGHT);
  CeedQFunctionAddOutput(qf_setup_diff, "qdata", dim*(dim+1)/2, CEED_EVAL_NONE);

  // Operator - setup diff
  CeedOperatorCreate(ceed, qf_setup_diff, CEED_QFUNCTION_NONE,
                     CEED_QFUNCTION_NONE, &op_setup_diff);
  CeedOperatorSetField(op_setup_diff, "dx", elem_restr_x, basis_x,
                       CEED_VECTOR_ACTIVE);
  CeedOperatorSetField(op_setup_diff, "_weight", CEED_ELEMRESTRICTION_NONE,
                       basis_x,
                       CEED_VECTOR_NONE);
  CeedOperatorSetField(op_setup_diff, "qdata", elem_restr_qd_diff_i,
                       CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE);

  // Apply Setup Operators
  CeedOperatorApply(op_setup_mass, X, q_data_mass, CEED_REQUEST_IMMEDIATE);
  CeedOperatorApply(op_setup_diff, X, q_data_diff, CEED_REQUEST_IMMEDIATE);

  // QFunction - apply
  CeedQFunctionCreateInterior(ceed, 1, apply, apply_loc, &qf_apply);
  CeedQFunctionAddInput(qf_apply, "du", dim, CEED_EVAL_GRAD);
  CeedQFunctionAddInput(qf_apply, "qdata_mass", 1, CEED_EVAL_NONE);
  CeedQFunctionAddInput(qf_apply, "qdata_diff", dim*(dim+1)/2, CEED_EVAL_NONE);
  CeedQFunctionAddInput(qf_apply, "u", 1, CEED_EVAL_INTERP);
  CeedQFunctionAddOutput(qf_apply, "v", 1, CEED_EVAL_INTERP);
  CeedQFunctionAddOutput(qf_apply, "dv", dim, CEED_EVAL_GRAD);

  // Operator - apply
  CeedOperatorCreate(ceed, qf_apply, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE,
                     &op_apply);
  CeedOperatorSetField(op_apply, "du", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE);
  CeedOperatorSetField(op_apply, "qdata_mass", elem_restr_qd_mass_i,
                       CEED_BASIS_COLLOCATED, q_data_mass);
  CeedOperatorSetField(op_apply, "qdata_diff", elem_restr_qd_diff_i,
                       CEED_BASIS_COLLOCATED, q_data_diff);
  CeedOperatorSetField(op_apply, "u", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE);
  CeedOperatorSetField(op_apply, "v", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE);
  CeedOperatorSetField(op_apply, "dv", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE);

  // Apply original operator
  CeedVectorCreate(ceed, num_dofs, &u);
  CeedVectorSetValue(u, 1.0);
  CeedVectorCreate(ceed, num_dofs, &v);
  CeedVectorSetValue(v, 0.0);
  CeedOperatorApply(op_apply, u, v, CEED_REQUEST_IMMEDIATE);

  // Check output
  CeedScalar area = 0.0;
  const CeedScalar *vv;
  CeedVectorGetArrayRead(v, CEED_MEM_HOST, &vv);
  for (CeedInt i=0; i<num_dofs; i++)
    area += vv[i];
  CeedVectorRestoreArrayRead(v, &vv);
  if (fabs(area - 1.0) > 1e-14)
    // LCOV_EXCL_START
    printf("Error: True operator computed area = %f != 1.0\n", area);
  // LCOV_EXCL_STOP

  // Assemble QFunction
  CeedOperatorLinearAssembleQFunction(op_apply, &A, &elem_restr_lin_i,
                                      CEED_REQUEST_IMMEDIATE);

  // QFunction - apply assembled
  CeedQFunctionCreateInterior(ceed, 1, apply_lin, apply_lin_loc, &qf_apply_lin);
  CeedQFunctionAddInput(qf_apply_lin, "du", dim, CEED_EVAL_GRAD);
  CeedQFunctionAddInput(qf_apply_lin, "qdata", (dim+1)*(dim+1), CEED_EVAL_NONE);
  CeedQFunctionAddInput(qf_apply_lin, "u", 1, CEED_EVAL_INTERP);
  CeedQFunctionAddOutput(qf_apply_lin, "v", 1, CEED_EVAL_INTERP);
  CeedQFunctionAddOutput(qf_apply_lin, "dv", dim, CEED_EVAL_GRAD);

  // Operator - apply assembled
  CeedOperatorCreate(ceed, qf_apply_lin, CEED_QFUNCTION_NONE,
                     CEED_QFUNCTION_NONE, &op_apply_lin);
  CeedOperatorSetField(op_apply_lin, "du", elem_restr_u, basis_u,
                       CEED_VECTOR_ACTIVE);
  CeedOperatorSetField(op_apply_lin, "qdata", elem_restr_lin_i,
                       CEED_BASIS_COLLOCATED, A);
  CeedOperatorSetField(op_apply_lin, "u", elem_restr_u, basis_u,
                       CEED_VECTOR_ACTIVE);
  CeedOperatorSetField(op_apply_lin, "v", elem_restr_u, basis_u,
                       CEED_VECTOR_ACTIVE);
  CeedOperatorSetField(op_apply_lin, "dv", elem_restr_u, basis_u,
                       CEED_VECTOR_ACTIVE);

  // Apply assembled QFunction operator
  CeedVectorSetValue(v, 0.0);
  CeedOperatorApply(op_apply_lin, u, v, CEED_REQUEST_IMMEDIATE);

  // Check output
  area = 0.0;
  CeedVectorGetArrayRead(v, CEED_MEM_HOST, &vv);
  for (CeedInt i=0; i<num_dofs; i++)
    area += vv[i];
  CeedVectorRestoreArrayRead(v, &vv);
  if (fabs(area - 1.0) > 1e-14)
    // LCOV_EXCL_START
    printf("Error: Assembled operator computed area = %f != 1.0\n", area);
  // LCOV_EXCL_STOP

  // Cleanup
  CeedQFunctionDestroy(&qf_setup_mass);
  CeedQFunctionDestroy(&qf_setup_diff);
  CeedQFunctionDestroy(&qf_apply);
  CeedQFunctionDestroy(&qf_apply_lin);
  CeedOperatorDestroy(&op_setup_mass);
  CeedOperatorDestroy(&op_setup_diff);
  CeedOperatorDestroy(&op_apply);
  CeedOperatorDestroy(&op_apply_lin);
  CeedElemRestrictionDestroy(&elem_restr_u);
  CeedElemRestrictionDestroy(&elem_restr_x);
  CeedElemRestrictionDestroy(&elem_restr_qd_mass_i);
  CeedElemRestrictionDestroy(&elem_restr_qd_diff_i);
  CeedElemRestrictionDestroy(&elem_restr_lin_i);
  CeedBasisDestroy(&basis_u);
  CeedBasisDestroy(&basis_x);
  CeedVectorDestroy(&X);
  CeedVectorDestroy(&A);
  CeedVectorDestroy(&q_data_mass);
  CeedVectorDestroy(&q_data_diff);
  CeedVectorDestroy(&u);
  CeedVectorDestroy(&v);
  CeedDestroy(&ceed);
  return 0;
}