linear-1d.cc (Latest change: Author:Lakshman Anumolu <acrlakshman@yahoo.co.in>, 2019-06-25 17:58:32 -0500, [commit: 0bbc8db])

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// Copyright 2019 Lakshman Anumolu, Raunak Bardia.
//
// Redistribution and use in source and binary forms, with or without
// modification, are permitted provided that the following conditions are
// met:
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// 1. Redistributions of source code must retain the above copyright notice,
// this list of conditions and the following disclaimer.
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// this list of conditions and the following disclaimer in the documentation
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#include "gals/cpu/interpolation/linear.h"

#include <math.h>

template <typename T>
T GALS::INTERPOLATION::Linear<T, GALS::CPU::Grid<T, 1>>::linearInterpolation(
    const GALS::CPU::Grid<typename GALS::CPU::Grid<T, 1>::value_type, GALS::CPU::Grid<T, 1>::dim> &grid,
    const typename GALS::CPU::Grid<T, 1>::position_type &x_interp,
    const GALS::CPU::Array<GALS::CPU::Grid<T, 1>, T> &alpha)
{
  typedef GALS::CPU::Grid<T, 1> T_GRID;

  const int dim = T_GRID::dim;
  const auto &axis_vectors = GALS::CPU::Grid<typename T_GRID::value_type, T_GRID::dim>::axis_vectors;
  const GALS::CPU::Vec3<int> base_node_id = grid.baseNodeId(x_interp);
  const GALS::CPU::Vec3<int> base_node_id_p1 = GALS::CPU::Vec3<int>(base_node_id[0] + axis_vectors(0, 0), 0, 0);

  const typename T_GRID::position_type x_base = grid(base_node_id);
  const auto &one_over_dx = grid.oneOverDX();

  T eta = (x_interp[0] - x_base[0]) * one_over_dx[0];

  T alpha_interpolated = (1. - eta) * alpha(base_node_id) + eta * alpha(base_node_id_p1);

  // TODO (lakshman): DELETE
  // std::cout << "base_node_id = " << base_node_id << "; eta = " << eta
  //<< "; alpha_interpolation = " << alpha_interpolated << std::endl;
  // T xo = 0., ro = 0.5;
  // T alpha_exact = (x_interp[0] - xo) * (x_interp[0] - xo) - ro * ro;
  // std::cout << "error = " << fabs(alpha_interpolated - alpha_exact) << std::endl;

  return alpha_interpolated;
}

template <typename T>
void GALS::INTERPOLATION::Linear<T, GALS::CPU::Grid<T, 1>>::compute(
    const GALS::CPU::Array<GALS::CPU::Grid<T, 1>, typename GALS::CPU::Grid<T, 1>::position_type> &x_interp,
    const GALS::CPU::Array<GALS::CPU::Grid<T, 1>, T> &alpha,
    GALS::CPU::Array<GALS::CPU::Grid<T, 1>, T> &alpha_interpolated)
{
  typedef GALS::CPU::Grid<T, 1> T_GRID;

  const GALS::CPU::Vec3<int> num_cells = alpha.numCells();
  const T_GRID &grid = alpha.grid();
  const GALS::CPU::Vec3<typename T_GRID::value_type> dx = grid.dX();
  const auto &axis_vectors = GALS::CPU::Grid<typename T_GRID::value_type, T_GRID::dim>::axis_vectors;

  // for (int i = 0; i < num_cells[0]; ++i)
  // for (int j = 0; j < num_cells[1]; ++j)
  // for (int k = 0; k < num_cells[2]; ++k)
  // alpha_interpolated(i, j, k) = linearInterpolation(grid, x_interp(i, j, k), alpha);
  for (int i = 0; i < x_interp.grid().numCells()[0]; ++i)
    for (int j = 0; j < x_interp.grid().numCells()[1]; ++j)
      for (int k = 0; k < x_interp.grid().numCells()[2]; ++k)
        alpha_interpolated(i, j, k) = linearInterpolation(grid, x_interp(i, j, k), alpha);
}

template <typename T>
void GALS::INTERPOLATION::Linear<T, GALS::CPU::Grid<T, 1>>::compute(
    const GALS::CPU::Array<GALS::CPU::Grid<T, 1>, typename GALS::CPU::Grid<T, 1>::position_type> &x_interp,
    GALS::CPU::Levelset<GALS::CPU::Grid<T, 1>, T> &levelset)
{
  GALS_FUNCTION_NOT_IMPLEMENTED("linear-1d.cc: compute(...) with levelset.")
}

template class GALS::INTERPOLATION::Linear<double, GALS::CPU::Grid<double, 1>>;