/// @file
/// Test assembly of non-symmetric Poisson operator (multi-component)
/// \test Test assembly of non-symmetric Poisson operator (multi-component)
#include <ceed.h>
#include <stdlib.h>
#include <math.h>
#include "t567-operator.h"

int main(int argc, char **argv) {
  Ceed ceed;
  CeedElemRestriction elem_restr_x, elem_restr_u,
                      elem_restr_qd_i;
  CeedBasis basis_x, basis_u;
  CeedQFunction qf_setup, qf_diff;
  CeedOperator op_setup, op_diff;
  CeedVector q_data, X, U, V;
  CeedInt P = 3, Q = 3, dim = 2, num_comp = 2;
  CeedInt n_x = 1, n_y = 1;
  CeedInt num_elem = n_x * n_y;
  CeedInt num_dofs = (n_x*(P-1)+1)*(n_y*(P-1)+1), num_qpts = num_elem*Q*Q;
  CeedInt ind_x[num_elem*P*P];
  CeedScalar assembled[num_comp*num_comp*num_dofs*num_dofs];
  CeedScalar x[dim*num_dofs], assembled_true[num_comp*num_comp*num_dofs*num_dofs];
  CeedScalar *u;
  const CeedScalar *v;

  CeedInit(argv[1], &ceed);

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

  // Qdata Vector
  CeedVectorCreate(ceed, num_qpts*dim*(dim+1)/2, &q_data);

  // Element Setup
  for (CeedInt i=0; i<num_elem; i++) {
    CeedInt col, row, offset;
    col = i % n_x;
    row = i / n_x;
    offset = col*(P-1) + row*(n_x*(P-1)+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*P + 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, num_comp, num_dofs,
                            num_comp*num_dofs,
                            CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restr_u);
  CeedInt strides_qd[3] = {1, Q*Q*num_elem, Q*Q}; /* *NOPAD* */
  CeedElemRestrictionCreateStrided(ceed, num_elem, Q*Q, dim*(dim+1)/2,
                                   num_qpts*dim*(dim+1)/2, strides_qd, &elem_restr_qd_i);

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

  // QFunctions
  CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup);
  CeedQFunctionAddInput(qf_setup, "weight", 1, CEED_EVAL_WEIGHT);
  CeedQFunctionAddInput(qf_setup, "dx", dim*dim, CEED_EVAL_GRAD);
  CeedQFunctionAddOutput(qf_setup, "qdata", dim*(dim+1)/2, CEED_EVAL_NONE);

  CeedQFunctionCreateInterior(ceed, 1, diff, diff_loc, &qf_diff);
  CeedQFunctionAddInput(qf_diff, "qdata", dim*(dim+1)/2, CEED_EVAL_NONE);
  CeedQFunctionAddInput(qf_diff, "u", num_comp*dim, CEED_EVAL_GRAD);
  CeedQFunctionAddOutput(qf_diff, "v", num_comp*dim, CEED_EVAL_GRAD);

  // Operators
  CeedOperatorCreate(ceed, qf_setup, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE,
                     &op_setup);
  CeedOperatorSetField(op_setup, "weight", CEED_ELEMRESTRICTION_NONE, basis_x,
                       CEED_VECTOR_NONE);
  CeedOperatorSetField(op_setup, "dx", elem_restr_x, basis_x, CEED_VECTOR_ACTIVE);
  CeedOperatorSetField(op_setup, "qdata", elem_restr_qd_i, CEED_BASIS_COLLOCATED,
                       CEED_VECTOR_ACTIVE);

  CeedOperatorCreate(ceed, qf_diff, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE,
                     &op_diff);
  CeedOperatorSetField(op_diff, "qdata", elem_restr_qd_i, CEED_BASIS_COLLOCATED,
                       q_data);
  CeedOperatorSetField(op_diff, "u", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE);
  CeedOperatorSetField(op_diff, "v", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE);

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

  // Fuly assemble operator
  for (CeedInt k=0; k<num_comp*num_comp*num_dofs*num_dofs; k++) {
    assembled[k] = 0.0;
    assembled_true[k] = 0.0;
  }
  CeedSize nentries;
  CeedInt *rows;
  CeedInt *cols;
  CeedVector values;
  CeedOperatorLinearAssembleSymbolic(op_diff, &nentries, &rows, &cols);
  CeedVectorCreate(ceed, nentries, &values);
  CeedOperatorLinearAssemble(op_diff, values);
  const CeedScalar *vals;
  CeedVectorGetArrayRead(values, CEED_MEM_HOST, &vals);
  for (CeedInt k=0; k<nentries; k++) {
    assembled[rows[k]*num_comp*num_dofs + cols[k]] += vals[k];
  }
  CeedVectorRestoreArrayRead(values, &vals);

  // Manually assemble operator
  CeedVectorCreate(ceed, num_comp*num_dofs, &U);
  CeedVectorSetValue(U, 0.0);
  CeedVectorCreate(ceed, num_comp*num_dofs, &V);
  CeedInt indOld = -1;

  for (CeedInt comp_in=0; comp_in<num_comp; comp_in++) {
    for (CeedInt node_in=0; node_in<num_dofs; node_in++) {
      // Set input
      CeedVectorGetArray(U, CEED_MEM_HOST, &u);
      CeedInt ind = node_in + comp_in*num_dofs;
      u[ind] = 1.0;
      if (ind > 0)
        u[indOld] = 0.0;
      indOld = ind;
      CeedVectorRestoreArray(U, &u);

      // Compute effect of DoF j
      CeedOperatorApply(op_diff, U, V, CEED_REQUEST_IMMEDIATE);

      CeedVectorGetArrayRead(V, CEED_MEM_HOST, &v);
      for (CeedInt k=0; k<num_dofs*num_comp; k++) {
        assembled_true[k*num_dofs*num_comp + ind] = v[k];
      }
      CeedVectorRestoreArrayRead(V, &v);
    }
  }

  // Check output
  for (CeedInt node_in=0; node_in<num_dofs; node_in++) {
    for (CeedInt comp_in=0; comp_in<num_comp; comp_in++) {
      for (CeedInt node_out=0; node_out<num_dofs; node_out++) {
        for (CeedInt comp_out=0; comp_out<num_comp; comp_out++) {
          const CeedInt index = (node_out + comp_out*num_dofs)*num_comp + node_in +
                                comp_in*num_dofs;
          const CeedScalar assembled_value = assembled[index];
          const CeedScalar assembled_true_value = assembled_true[index];
          if (fabs(assembled_value - assembled_true_value) >
              100.*CEED_EPSILON)
            // LCOV_EXCL_START
            printf("[(%" CeedInt_FMT ", %" CeedInt_FMT "), (%" CeedInt_FMT
                   ", %" CeedInt_FMT ")] Error in assembly: %f != %f\n",
                   node_out, comp_out, node_in, comp_in,
                   assembled_value, assembled_true_value);
          // LCOV_EXCL_STOP
        }
      }
    }
  }

  // Cleanup
  free(rows);
  free(cols);
  CeedVectorDestroy(&values);
  CeedQFunctionDestroy(&qf_setup);
  CeedQFunctionDestroy(&qf_diff);
  CeedOperatorDestroy(&op_setup);
  CeedOperatorDestroy(&op_diff);
  CeedElemRestrictionDestroy(&elem_restr_u);
  CeedElemRestrictionDestroy(&elem_restr_x);
  CeedElemRestrictionDestroy(&elem_restr_qd_i);
  CeedBasisDestroy(&basis_u);
  CeedBasisDestroy(&basis_x);
  CeedVectorDestroy(&X);
  CeedVectorDestroy(&q_data);
  CeedVectorDestroy(&U);
  CeedVectorDestroy(&V);
  CeedDestroy(&ceed);
  return 0;
}