/// @file
/// Test assembly of mass matrix operator point block diagonal
/// \test Test assembly of mass matrix operator point block diagonal
#include <ceed.h>
#include <stdlib.h>
#include <math.h>
#include "t537-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_mass;
  CeedOperator op_setup, op_mass;
  CeedVector q_data, X, A, U, V;
  CeedInt num_elem = 6, P = 3, Q = 4, dim = 2, num_comp = 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], assembled_true[num_comp*num_comp*num_dofs];
  CeedScalar *u;
  const CeedScalar *a, *v;

  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 Vector
  CeedVectorCreate(ceed, num_qpts, &q_data);

  // 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, 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, Q*Q};
  CeedElemRestrictionCreateStrided(ceed, num_elem, Q*Q, 1, num_qpts, 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, "rho", 1, CEED_EVAL_NONE);

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

  // 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, "rho", elem_restr_qd_i, CEED_BASIS_COLLOCATED,
                       CEED_VECTOR_ACTIVE);

  CeedOperatorCreate(ceed, qf_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE,
                     &op_mass);
  CeedOperatorSetField(op_mass, "rho", elem_restr_qd_i, CEED_BASIS_COLLOCATED,
                       q_data);
  CeedOperatorSetField(op_mass, "u", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE);
  CeedOperatorSetField(op_mass, "v", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE);

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

  // Assemble diagonal
  CeedVectorCreate(ceed, num_comp*num_comp*num_dofs, &A);
  CeedOperatorLinearAssemblePointBlockDiagonal(op_mass, A,
      CEED_REQUEST_IMMEDIATE);

  // Manually assemble diagonal
  CeedVectorCreate(ceed, num_comp*num_dofs, &U);
  CeedVectorSetValue(U, 0.0);
  CeedVectorCreate(ceed, num_comp*num_dofs, &V);
  for (int i=0; i<num_comp*num_comp*num_dofs; i++)
    assembled_true[i] = 0.0;
  CeedInt ind_old = -1;
  for (int i=0; i<num_dofs; i++) {
    for (int j=0; j<num_comp; j++) {
      // Set input
      CeedVectorGetArray(U, CEED_MEM_HOST, &u);
      CeedInt ind = i + j*num_dofs;
      u[ind] = 1.0;
      if (ind > 0)
        u[ind_old] = 0.0;
      ind_old = ind;
      CeedVectorRestoreArray(U, &u);

      // Compute effect of DoF i, comp j
      CeedOperatorApply(op_mass, U, V, CEED_REQUEST_IMMEDIATE);

      // Retrieve entry
      CeedVectorGetArrayRead(V, CEED_MEM_HOST, &v);
      for (int k = 0; k<num_comp; k++)
        assembled_true[i*num_comp*num_comp + k*num_comp + j] += v[i + k*num_dofs];
      CeedVectorRestoreArrayRead(V, &v);
    }
  }

  // Check output
  CeedVectorGetArrayRead(A, CEED_MEM_HOST, &a);
  for (int i=0; i<num_comp*num_comp*num_dofs; i++)
    if (fabs(a[i] - assembled_true[i]) > 100.*CEED_EPSILON)
      // LCOV_EXCL_START
      printf("[%d] Error in assembly: %f != %f\n", i, a[i], assembled_true[i]);
  // LCOV_EXCL_STOP
  CeedVectorRestoreArrayRead(A, &a);

  // Cleanup
  CeedQFunctionDestroy(&qf_setup);
  CeedQFunctionDestroy(&qf_mass);
  CeedOperatorDestroy(&op_setup);
  CeedOperatorDestroy(&op_mass);
  CeedElemRestrictionDestroy(&elem_restr_u);
  CeedElemRestrictionDestroy(&elem_restr_x);
  CeedElemRestrictionDestroy(&elem_restr_qd_i);
  CeedBasisDestroy(&basis_u);
  CeedBasisDestroy(&basis_x);
  CeedVectorDestroy(&X);
  CeedVectorDestroy(&A);
  CeedVectorDestroy(&q_data);
  CeedVectorDestroy(&U);
  CeedVectorDestroy(&V);
  CeedDestroy(&ceed);
  return 0;
}