void
MovementSolute::divide_top_incomming (const Geometry& geo, 
                                      const SoilWater& soil_water, 
                                      const double J_above, // [g/cm^2/h]
                                      std::map<size_t, double>& J_primary,
                                      std::map<size_t, double>& J_secondary,
                                      std::map<size_t, double>& J_tertiary)
{
  daisy_assert (J_above < 0.0); // Negative upward flux.
  const std::vector<size_t>& edge_above 
    = geo.cell_edges (Geometry::cell_above);
  const size_t edge_above_size = edge_above.size ();
  double total_water_in = 0.0;  // [cm^3 W/h]
  double total_area = 0.0;      // [cm^2 S]

  // Find incomming water in all domain.
  for (size_t i = 0; i < edge_above_size; i++)
    {
      const size_t edge = edge_above[i];
      const int cell = geo.edge_other (edge, Geometry::cell_above);
      daisy_assert (geo.cell_is_internal (cell));
      const double area = geo.edge_area (edge); // [cm^2 S]
      total_area += area;
      const double in_sign 
        = geo.cell_is_internal (geo.edge_to (edge)) 
        ? 1.0
        : -1.0;
      daisy_assert (in_sign < 0);

      // Tertiary domain.
      const double q_tertiary = soil_water.q_tertiary (edge);
      daisy_assert (std::isfinite (q_tertiary));
      const double tertiary_in = q_tertiary * in_sign; // [cm^3 W/cm^2 S/h]
      if (tertiary_in > 0)
        {
          total_water_in += tertiary_in * area;
          J_tertiary[edge] = q_tertiary; // [cm^3 W/cm^2 S/h]
        }
      else
        J_tertiary[edge] = 0.0;

      // Secondary domain.
      const double q_secondary = soil_water.q_secondary (edge);
      const double secondary_in = q_secondary * in_sign; // [cm^3 W/cm^2 S/h]
      if (secondary_in > 0)
        {
          total_water_in += secondary_in * area;
          J_secondary[edge] = q_secondary; // [cm^3 W/cm^2 S/h]
          
        }
      else
        J_secondary[edge] = 0.0;

      // Primary domain.
      const double q_primary = soil_water.q_primary (edge);
      const double primary_in = q_primary * in_sign; // [cm^3 W/cm^2 S/h]
      if (primary_in > 0)
        {
          total_water_in += primary_in * area;
          J_primary[edge] = q_primary; // [cm^3 W/cm^2 S/h]
        }
      else
        J_primary[edge] = 0.0;
    }
  daisy_approximate (total_area, geo.surface_area ());

  if (total_water_in > 1e-9 * total_area)
    // Scale with incomming solute.
    {
      // [g/cm^3 W] = [g/cm^2 S/h] * [cm^2 S] / [cm^3 W/h] 
      const double C_above = -J_above * total_area / total_water_in;
      daisy_assert (std::isfinite (C_above));
      for (size_t i = 0; i < edge_above_size; i++)
        {
          const size_t edge = edge_above[i];
          // [g/cm^2 S/h] = [cm^3 W/cm^2 S/h] * [g/cm^3 W]
          J_tertiary[edge] *= C_above;
          J_secondary[edge] *= C_above;
          J_primary[edge] *= C_above;
        }
    }
  else
    {
      daisy_assert (total_water_in >= 0.0);
      for (size_t i = 0; i < edge_above_size; i++)
        {
          const size_t edge = edge_above[i];
          const double in_sign 
            = geo.cell_is_internal (geo.edge_to (edge)) ? 1.0 : -1.0;
          J_tertiary[edge] = 0.0;
          J_secondary[edge] = 0.0;
          J_primary[edge] = -J_above * in_sign;
        }
    }
}
void
MovementSolute::primary_transport (const Geometry& geo, const Soil& soil,
                                   const SoilWater& soil_water,
                                   const Transport& transport,
                                   const bool sink_sorbed,
                                   const size_t transport_iteration,
                                   const std::map<size_t, double>& J_forced,
                                   const std::map<size_t, double>& C_border,
                                   Chemical& solute, 
                                   const std::vector<double>& S_extra,
                                   const double dt,
                                   const Scope& scope, Treelog& msg)
{ 
  
  // Edges.
  const size_t edge_size = geo.edge_size ();

  std::vector<double> q (edge_size); // Water flux [cm].
  std::vector<double> J (edge_size); // Flux delivered by flow.

  for (size_t e = 0; e < edge_size; e++)
    {
      q[e] = soil_water.q_primary (e);
      daisy_assert (std::isfinite (q[e]));
      J[e] = 0.0;
    }

  // Cells.
  const size_t cell_size = geo.cell_size ();

  std::vector<double> Theta_old (cell_size); // Water content at start...
  std::vector<double> Theta_new (cell_size); // ...and end of timestep.
  std::vector<double> C (cell_size); // Concentration given to flow.
  std::vector<double> A (cell_size); // Sorbed mass not given to flow.
  std::vector<double> S (cell_size); // Source given to flow.

  for (size_t c = 0; c < cell_size; c++)
    {
      Theta_old[c] = soil_water.Theta_primary_old (c);
      daisy_assert (Theta_old[c] > 0.0);
      Theta_new[c] = soil_water.Theta_primary (c);
      daisy_assert (Theta_new[c] > 0.0);
      C[c] = solute.C_primary (c);
      daisy_assert (C[c] >= 0.0);
      const double M = solute.M_primary (c);
      daisy_assert (M >= 0.0);
      A[c] = M - C[c] * Theta_old[c];
      daisy_assert (std::isfinite (A[c]));
      if (A[c] < 0.0)
        {
          daisy_approximate (M,  C[c] * Theta_old[c]);
          A[c] = 0.0;
        }
      daisy_assert (A[c] >= 0.0);
      S[c] = solute.S_primary (c) + S_extra[c];
      if (sink_sorbed && S[c] < 0.0)
        {
          A[c] += S[c] * dt;
          S[c] = 0.0;
          if (A[c] < 0.0)
            {
              S[c] = A[c] / dt;
              A[c] = 0.0;
            }
        }

      daisy_assert (std::isfinite (S[c]));
    }
  
  // Flow.
  transport.flow (geo, soil, Theta_old, Theta_new, q, solute.objid, 
                  S, J_forced, C_border, C, J, 
                  solute.diffusion_coefficient (), 
                  dt, msg);

  // Check fluxes.
  for (size_t e = 0; e < edge_size; e++)
    daisy_assert (std::isfinite (J[e]));


  // Update with new content.
  std::vector<double> M (cell_size);
  for (size_t c = 0; c < cell_size; c++)
    {
      daisy_assert (std::isfinite (C[c]));
      M[c] = A[c] + C[c] * Theta_new[c];

      if (M[c] < 0.0)
        {
          std::ostringstream tmp;
          tmp << "M[" << c << "] = " << M[c] 
              << " @ " << geo.cell_name (c)
              << ", C = " << C[c]
              << ", A = " << A[c]
              << ", M_new = " << M[c]
              << ", M_old = " << solute.M_primary (c) << ", dt " << dt
              << ", S = " << S[c] 
              << ", S_extra = " << S_extra[c];
          solute.debug_cell (tmp, c);
          tmp << ", Theta_old " << Theta_old[c]
              << ", Theta_new " << Theta_new[c]
              << ", root " << soil_water.S_root (c)
              << ", drain " << soil_water.S_drain (c)
              << ", B2M " << soil_water.S_B2M (c)
              << ", M2B " << soil_water.S_M2B (c)
              << ", forward_total " << soil_water.S_forward_total (c)
              << ", forward_sink " << soil_water.S_forward_sink (c)
              << ", sum " << soil_water.S_sum (c)
              << ", v1 " << soil_water.velocity_cell_primary (geo, c)
              << ", v2 " << soil_water.velocity_cell_secondary (geo, c);
          const std::vector<size_t>& edges = geo.cell_edges (c);
          for (size_t i = 0; i < edges.size (); i++)
            {
              const size_t e = edges[i];
              tmp  << "\n" << geo.edge_name (e) 
                   << ": q = " << q[e] << ", J = " << J[e];
            }
          msg.debug (tmp.str ());
          if (transport_iteration == 0)
            throw "Negative concentration";
        }
    }

  solute.set_primary (soil, soil_water, M, J);
}