// Copyright (c) 2017-2026, Lawrence Livermore National Security, LLC and other CEED contributors.
// All Rights Reserved. See the top-level LICENSE and NOTICE files for details.
//
// SPDX-License-Identifier: BSD-2-Clause
//
// This file is part of CEED:  http://github.com/ceed

/// @file
/// Linear elasticity manufactured solution forcing term for solid mechanics example using PETSc

#include <ceed/types.h>
#ifndef CEED_RUNNING_JIT_PASS
#include <math.h>
#endif

#ifndef PHYSICS_STRUCT
#define PHYSICS_STRUCT
typedef struct Physics_private *Physics;
struct Physics_private {
  CeedScalar nu;  // Poisson's ratio
  CeedScalar E;   // Young's Modulus
};
#endif

// -----------------------------------------------------------------------------
// Forcing term for linear elasticity manufactured solution
// -----------------------------------------------------------------------------
CEED_QFUNCTION(SetupMMSForce)(void *ctx, const CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) {
  // Inputs
  const CeedScalar *coords = in[0], *q_data = in[1];

  // Outputs
  CeedScalar *force = out[0];

  // Context
  const Physics    context = (Physics)ctx;
  const CeedScalar E       = context->E;
  const CeedScalar nu      = context->nu;

  // Quadrature Point Loop
  CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) {
    // Setup
    CeedScalar x = coords[i + 0 * Q], y = coords[i + 1 * Q], z = coords[i + 2 * Q];
    CeedScalar wdetJ = q_data[i];

    // Forcing function
    // -- Component 1
    force[i + 0 * Q] = (-(E * (cos(x * 2.0) * cos(y * 3.0) * exp(z * 4.0) * 4.0 - cos(z * 4.0) * sin(y * 3.0) * exp(x * 2.0) * 8.0) * (nu - 0.5)) /
                            ((nu * 2.0 - 1.0) * (nu + 1.0)) +
                        (E * (cos(z * 4.0) * sin(y * 3.0) * exp(x * 2.0) * (4.5) + sin(x * 2.0) * sin(z * 4.0) * exp(y * 3.0) * 3.0) * (nu - 0.5)) /
                            ((nu * 2.0 - 1.0) * (nu + 1.0)) +
                        (E * nu * cos(x * 2.0) * cos(y * 3.0) * exp(z * 4.0) * 8.0) / ((nu * 2.0 - 1.0) * (nu + 1.0)) -
                        (E * nu * sin(x * 2.0) * sin(z * 4.0) * exp(y * 3.0) * 6.0) / ((nu * 2.0 - 1.0) * (nu + 1.0)) -
                        (E * cos(z * 4.0) * sin(y * 3.0) * exp(x * 2.0) * (nu - 1.0) * 4.0) / ((nu * 2.0 - 1.0) * (nu + 1.0))) *
                       wdetJ / 1e8;

    // -- Component 2
    force[i + 1 * Q] = (-(E * (cos(y * 3.0) * cos(z * 4.0) * exp(x * 2.0) * 3.0 - cos(x * 2.0) * sin(z * 4.0) * exp(y * 3.0) * 2.0) * (nu - 0.5)) /
                            ((nu * 2.0 - 1.0) * (nu + 1.0)) +
                        (E * (cos(x * 2.0) * sin(z * 4.0) * exp(y * 3.0) * 8.0 + sin(x * 2.0) * sin(y * 3.0) * exp(z * 4.0) * 6.0) * (nu - 0.5)) /
                            ((nu * 2.0 - 1.0) * (nu + 1.0)) +
                        (E * nu * cos(y * 3.0) * cos(z * 4.0) * exp(x * 2.0) * 6.0) / ((nu * 2.0 - 1.0) * (nu + 1.0)) -
                        (E * nu * sin(x * 2.0) * sin(y * 3.0) * exp(z * 4.0) * 12.0) / ((nu * 2.0 - 1.0) * (nu + 1.0)) -
                        (E * cos(x * 2.0) * sin(z * 4.0) * exp(y * 3.0) * (nu - 1.0) * 9.0) / ((nu * 2.0 - 1.0) * (nu + 1.0))) *
                       wdetJ / 1e8;

    // -- Component 3
    force[i + 2 * Q] = (-(E * (cos(x * 2.0) * cos(z * 4.0) * exp(y * 3.0) * 6.0 - cos(y * 3.0) * sin(x * 2.0) * exp(z * 4.0) * (4.5)) * (nu - 0.5)) /
                            ((nu * 2.0 - 1.0) * (nu + 1.0)) +
                        (E * (cos(y * 3.0) * sin(x * 2.0) * exp(z * 4.0) * 2.0 + sin(y * 3.0) * sin(z * 4.0) * exp(x * 2.0) * 4.0) * (nu - 0.5)) /
                            ((nu * 2.0 - 1.0) * (nu + 1.0)) +
                        (E * nu * cos(x * 2.0) * cos(z * 4.0) * exp(y * 3.0) * 12.0) / ((nu * 2.0 - 1.0) * (nu + 1.0)) -
                        (E * nu * sin(y * 3.0) * sin(z * 4.0) * exp(x * 2.0) * 8.0) / ((nu * 2.0 - 1.0) * (nu + 1.0)) -
                        (E * cos(y * 3.0) * sin(x * 2.0) * exp(z * 4.0) * (nu - 1.0) * 16.0) / ((nu * 2.0 - 1.0) * (nu + 1.0))) *
                       wdetJ / 1e8;

  }  // End of Quadrature Point Loop

  return 0;
}
// -----------------------------------------------------------------------------
