// ******************************************************************************
   //
   // Title:       Force Field X.
   // Description: Force Field X - Software for Molecular Biophysics.
   // Copyright:   Copyright (c) Michael J. Schnieders 2001-2025.
   //
   // This file is part of Force Field X.
   //
   // Force Field X is free software; you can redistribute it and/or modify it
  // under the terms of the GNU General Public License version 3 as published by
  // the Free Software Foundation.
  //
  // Force Field X is distributed in the hope that it will be useful, but WITHOUT
  // ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
  // FOR A PARTICULAR PURPOSE. See the GNU General Public License for more
  // details.
  //
  // You should have received a copy of the GNU General Public License along with
  // Force Field X; if not, write to the Free Software Foundation, Inc., 59 Temple
  // Place, Suite 330, Boston, MA 02111-1307 USA
  //
  // Linking this library statically or dynamically with other modules is making a
  // combined work based on this library. Thus, the terms and conditions of the
  // GNU General Public License cover the whole combination.
  //
  // As a special exception, the copyright holders of this library give you
  // permission to link this library with independent modules to produce an
  // executable, regardless of the license terms of these independent modules, and
  // to copy and distribute the resulting executable under terms of your choice,
  // provided that you also meet, for each linked independent module, the terms
  // and conditions of the license of that module. An independent module is a
  // module which is not derived from or based on this library. If you modify this
  // library, you may extend this exception to your version of the library, but
  // you are not obligated to do so. If you do not wish to do so, delete this
  // exception statement from your version.
  //
  // ******************************************************************************
  package ffx.potential.nonbonded;
  
  import ffx.crystal.Crystal;
  import ffx.numerics.tornado.FFXTornado;
  import ffx.potential.bonded.Atom;
  import ffx.potential.bonded.Bond;
  import ffx.potential.parameters.AtomType;
  import ffx.potential.parameters.ForceField;
  import ffx.potential.parameters.VDWType;
  import uk.ac.manchester.tornado.api.ImmutableTaskGraph;
  import uk.ac.manchester.tornado.api.TaskGraph;
  import uk.ac.manchester.tornado.api.TornadoExecutionPlan;
  import uk.ac.manchester.tornado.api.annotations.Parallel;
  import uk.ac.manchester.tornado.api.annotations.Reduce;
  import uk.ac.manchester.tornado.api.common.TornadoDevice;
  import uk.ac.manchester.tornado.api.runtime.TornadoRuntimeProvider;
  
  import java.util.List;
  import java.util.logging.Level;
  import java.util.logging.Logger;
  
  import static java.lang.String.format;
  import static java.util.Arrays.fill;
  import static uk.ac.manchester.tornado.api.enums.DataTransferMode.EVERY_EXECUTION;
  import static uk.ac.manchester.tornado.api.math.TornadoMath.abs;
  import static uk.ac.manchester.tornado.api.math.TornadoMath.floor;
  import static uk.ac.manchester.tornado.api.math.TornadoMath.sqrt;
  
  /**
   * The Van der Waals class computes Van der Waals interaction in parallel using a {@link
   * NeighborList} for P1 (no symmetry) {@link Crystal} systems.
   *
   * <p>The repulsive power (e.g. 12), attractive power (e.g. 6) and buffering (e.g. for the AMOEBA
   * buffered-14-7) can all be specified such that both Lennard-Jones and AMOEBA are supported.
   *
   * @author Michael J. Schnieders
   * @since 1.0
   */
  public class VanDerWaalsTornado extends VanDerWaals {
  
    private static final Logger logger = Logger.getLogger(VanDerWaalsTornado.class.getName());
    private static final byte XX = 0;
    private static final byte YY = 1;
    private static final byte ZZ = 2;
    /**
     * Lennard-Jones or Buffered 14-7 vdW form.
     */
    private final VanDerWaalsForm vdwForm;
    /**
     * Cut-off switch.
     */
    private final double vdwTaper;
  
    private final double vdwCutoff;
    // *************************************************************************
    // Accumulation variables.
    private int interactions;
    private double energy;
    private double[] grad;
    private Crystal crystal;
    /**
     * An array of all atoms in the system.
    */
   private Atom[] atoms;
   /**
    * The Force Field that defines the Van der Waals interactions.
    */
   private ForceField forceField;
   /**
    * A local convenience variable equal to atoms.length.
    */
   private int nAtoms;
   /**
    * A local reference to the atom class of each atom in the system.
    */
   private int[] atomClass;
   /**
    * A local copy of atomic coordinates, including reductions on the hydrogen atoms.
    */
   private double[] coordinates;
   /**
    * Each hydrogen vdW site is located a fraction of the way from the heavy atom nucleus to the
    * hydrogen nucleus (~0.9).
    */
   private double[] reductionValue;
   /**
    * Hydrogen atom vdW sites are located toward their heavy atom relative to their nucleus. This is
    * a look-up that gives the heavy atom index for each hydrogen.
    */
   private int[] reductionIndex;
   /**
    * 1-2, 1-3, 1-4 interactions are masked.
    */
   private int[] mask;
   /**
    * Pointer into the mask array for each atom.
    */
   private int[] maskPointer;
 
   /**
    * The VanDerWaalsTornado class constructor.
    *
    * @param atoms      Atom array to do Van Der Waals calculations on.
    * @param crystal    The periodic boundary conditions information.
    * @param forceField the ForceField parameters to apply.
    * @param vdwCutoff  vdW cutoff.
    * @since 1.0
    */
   public VanDerWaalsTornado(
       Atom[] atoms, Crystal crystal, ForceField forceField, double vdwCutoff) {
     this.atoms = atoms;
     this.crystal = crystal;
     this.forceField = forceField;
     nAtoms = atoms.length;
     vdwForm = new VanDerWaalsForm(forceField);
 
     // Allocate coordinate arrays and set up reduction indices and values.
     initAtomArrays();
 
     /*
      Define the multiplicative switch, which sets vdW energy to zero
      at the cutoff distance using a window that begin at 90% of the
      cutoff distance.
     */
     this.vdwCutoff = vdwCutoff;
     this.vdwTaper = 0.9 * vdwCutoff;
     logger.info(toString());
   }
 
   /**
    * Currently does not use "neighbor-lists" and so is truly N^2.
    */
   private static void tornadoEnergy(
       int[] atomClass,
       double[] eps,
       double[] rMin,
       double[] reducedXYZ,
       int[] reductionIndex,
       double[] reductionValue,
       double[] bondedScaleFactors,
       int[] maskPointers,
       int[] masks,
       double[] A,
       double[] Ai,
       double[] cutoffs,
       @Reduce double[] energy,
       @Reduce int[] interactions,
       @Reduce double[] grad) {
 
     // Matrices to apply the minimum image convention.
     // The columns of A are the reciprocal basis vectors
     double A00 = A[0];
     double A01 = A[1];
     double A02 = A[2];
     double A10 = A[3];
     double A11 = A[4];
     double A12 = A[5];
     double A20 = A[6];
     double A21 = A[7];
     double A22 = A[8];
     // a is the first row of A^(-1).
     double Ai00 = Ai[0];
     double Ai01 = Ai[1];
     double Ai02 = Ai[2];
     // b is the second row of A^(-1).
     double Ai10 = Ai[3];
     double Ai11 = Ai[4];
     double Ai12 = Ai[5];
     // c is the third row of A^(-1).
     double Ai20 = Ai[6];
     double Ai21 = Ai[7];
     double Ai22 = Ai[8];
 
     // Scale factors for bonded atoms.
     double scale12 = bondedScaleFactors[0];
     double scale13 = bondedScaleFactors[1];
     double scale14 = bondedScaleFactors[2];
 
     // Periodic Boundary Conditions
     boolean aperiodic = false;
     if (cutoffs[0] > 0) {
       aperiodic = true;
     }
 
     double vdwTaper = cutoffs[1];
     double vdwCutoff = cutoffs[2];
     double vdwTaper2 = vdwTaper * vdwTaper;
     double vdwCutoff2 = vdwCutoff * vdwCutoff;
     boolean gradient = false;
     if (cutoffs[3] > 0) {
       gradient = true;
     }
 
     // Multiplicative Switch
     double a = vdwTaper;
     double b = vdwCutoff;
     double a2 = a * a;
     double b2 = b * b;
     double ba = b - a;
     double ba2 = ba * ba;
     double denom = ba * ba2 * ba2;
     double c0 = b * b2 * (b2 - 5.0 * a * b + 10.0 * a2) / denom;
     double c1 = -30.0 * a2 * b2 / denom;
     double c2 = 30.0 * b * a * (b + a) / denom;
     double c3 = -10.0 * (a2 + 4.0 * a * b + b2) / denom;
     double c4 = 15.0 * (a + b) / denom;
     double c5 = -6.0 / denom;
     double twoC2 = 2.0 * c2;
     double threeC3 = 3.0 * c3;
     double fourC4 = 4.0 * c4;
     double fiveC5 = 5.0 * c5;
 
     // Interactions between 1-2, 1-3, 1-4 atoms are masked.
     final int nAtoms = atomClass.length;
     double[] mask = new double[nAtoms];
     for (int i = 0; i < nAtoms; i++) {
       mask[i] = 1.0;
     }
 
     // AMOEBA Buffered 14-7 parameters.
     final double delta = 0.07;
     final double gamma = 0.12;
     final double delta1 = 1.0 + delta;
     final double d2 = delta1 * delta1;
     final double d4 = d2 * d2;
     final double t1n = delta1 * d2 * d4;
     final double gamma1 = 1.0 + gamma;
 
     final int XX = 0;
     final int YY = 1;
     final int ZZ = 2;
     // Outer loop over all atoms.
     for (@Parallel int i = 0; i < nAtoms - 1; i++) {
       final int i3 = i * 3;
       final double xi = reducedXYZ[i3 + XX];
       final double yi = reducedXYZ[i3 + YY];
       final double zi = reducedXYZ[i3 + ZZ];
       final int redi = reductionIndex[i];
       final double redv = reductionValue[i];
       final double rediv = 1.0 - redv;
       final int classI = atomClass[i];
       final double ei = eps[classI];
       final double sei = sqrt(ei);
       final double ri = rMin[classI];
       if (ri <= 0.0) {
         continue;
       }
       double gxi = 0.0;
       double gyi = 0.0;
       double gzi = 0.0;
       double gxredi = 0.0;
       double gyredi = 0.0;
       double gzredi = 0.0;
 
       // Apply masks
       for (int ii = maskPointers[i3]; ii < maskPointers[i3 + 1]; ii++) {
         mask[masks[ii]] = scale12;
       }
       for (int ii = maskPointers[i3 + 1]; ii < maskPointers[i3 + 2]; ii++) {
         mask[masks[ii]] = scale13;
       }
       for (int ii = maskPointers[i3 + 2]; ii < maskPointers[i3 + 3]; ii++) {
         mask[masks[ii]] = scale14;
       }
 
       // Inner loop over atoms.
       for (int k = i + 1; k < nAtoms; k++) {
         final int k3 = k * 3;
         final double xk = reducedXYZ[k3 + XX];
         final double yk = reducedXYZ[k3 + YY];
         final double zk = reducedXYZ[k3 + ZZ];
         final double[] dx = new double[3];
         dx[0] = xi - xk;
         dx[1] = yi - yk;
         dx[2] = zi - zk;
         double x = dx[0];
         double y = dx[1];
         double z = dx[2];
         double r2;
         if (!aperiodic) {
           double xf = x * A00 + y * A10 + z * A20;
           double yf = x * A01 + y * A11 + z * A21;
           double zf = x * A02 + y * A12 + z * A22;
           // signum:
           // zero if the argument is zero,
           // 1.0 if the argument is greater than zero,
           // -1.0 if the argument is less than zero.
           // double xfsn = signum(-xf);
           double xfsn = 0.0;
           if (-xf > 0.0) {
             xfsn = 1.0;
           } else if (-xf < 0.0) {
             xfsn = -1.0;
           }
           // double yfsn = signum(-yf);
           double yfsn = 0.0;
           if (-yf > 0.0) {
             yfsn = 1.0;
           } else if (-yf < 0.0) {
             yfsn = -1.0;
           }
           // double zfsn = signum(-zf);
           double zfsn = 0.0;
           if (-zf > 0.0) {
             zfsn = 1.0;
           } else if (-zf < 0.0) {
             zfsn = -1.0;
           }
           xf = floor(abs(xf) + 0.5) * xfsn + xf;
           yf = floor(abs(yf) + 0.5) * yfsn + yf;
           zf = floor(abs(zf) + 0.5) * zfsn + zf;
           x = xf * Ai00 + yf * Ai10 + zf * Ai20;
           y = xf * Ai01 + yf * Ai11 + zf * Ai21;
           z = xf * Ai02 + yf * Ai12 + zf * Ai22;
           dx[0] = x;
           dx[1] = y;
           dx[2] = z;
         }
         r2 = x * x + y * y + z * z;
         final int classK = atomClass[k];
         final double rk = rMin[classK];
         if (r2 <= vdwCutoff2 && mask[k] > 0 && rk > 0) {
           double ri2 = ri * ri;
           double ri3 = ri * ri2;
           double rk2 = rk * rk;
           double rk3 = rk * rk2;
           double irv = 1.0 / (2.0 * (ri3 + rk3) / (ri2 + rk2));
           final double r = sqrt(r2);
           /*
            Calculate Van der Waals interaction energy.
            Notation of Schnieders et al. The structure,
            thermodynamics, and solubility of organic
            crystals from simulation with a polarizable force
            field. J. Chem. Theory Comput. 8, 1721–1736 (2012).
           */
           double ek = eps[classK];
           double sek = sqrt(ek);
           double ev = mask[k] * 4.0 * (ei * ek) / ((sei + sek) * (sei + sek));
           final double rho = r * irv;
           final double rho2 = rho * rho;
           final double rhoDisp1 = rho2 * rho2 * rho2;
           final double rhoDisp = rhoDisp1 * rho;
           final double rhoD = rho + delta;
           final double rhoD2 = rhoD * rhoD;
           final double rhoDelta1 = rhoD2 * rhoD2 * rhoD2;
           final double rhoDelta = rhoDelta1 * (rho + delta);
           final double rhoDispGamma = rhoDisp + gamma;
           final double t1d = 1.0 / rhoDelta;
           final double t2d = 1.0 / rhoDispGamma;
           final double t1 = t1n * t1d;
           final double t2a = gamma1 * t2d;
           final double t2 = t2a - 2.0;
           double eik = ev * t1 * t2;
           /*
            Apply a multiplicative switch if the interaction
            distance is greater than the beginning of the taper.
           */
           double taper = 1.0;
           double dtaper = 0.0;
           if (r2 > vdwTaper2) {
             final double r3 = r2 * r;
             final double r4 = r2 * r2;
             final double r5 = r2 * r3;
             taper = c5 * r5 + c4 * r4 + c3 * r3 + c2 * r2 + c1 * r + c0;
             dtaper = fiveC5 * r4 + fourC4 * r3 + threeC3 * r2 + twoC2 * r + c1;
           }
           eik *= taper;
           energy[0] += eik;
           interactions[0] += 1;
           if (!gradient) {
             continue;
           }
           final int redk = reductionIndex[k];
           final double red = reductionValue[k];
           final double redkv = 1.0 - red;
           final double dt1d_dr = 7.0 * rhoDelta1 * irv;
           final double dt2d_dr = 7.0 * rhoDisp1 * irv;
           final double dt1_dr = t1 * dt1d_dr * t1d;
           final double dt2_dr = t2a * dt2d_dr * t2d;
           final double dedr = -ev * (dt1_dr * t2 + t1 * dt2_dr);
           final double ir = 1.0 / r;
           final double drdx = dx[0] * ir;
           final double drdy = dx[1] * ir;
           final double drdz = dx[2] * ir;
           final double dswitch = (eik * dtaper + dedr * taper);
           final double dedx = dswitch * drdx;
           final double dedy = dswitch * drdy;
           final double dedz = dswitch * drdz;
           gxi += dedx * redv;
           gyi += dedy * redv;
           gzi += dedz * redv;
           gxredi += dedx * rediv;
           gyredi += dedy * rediv;
           gzredi += dedz * rediv;
           // Atom K
           grad[k3 + XX] -= red * dedx;
           grad[k3 + YY] -= red * dedy;
           grad[k3 + ZZ] -= red * dedz;
           // Atom K is reduced by Atom redK;
           int r3 = redk * 3;
           grad[r3 + XX] -= redkv * dedx;
           grad[r3 + YY] -= redkv * dedy;
           grad[r3 + ZZ] -= redkv * dedz;
         }
       }
       if (gradient) {
         // Atom I gradient.
         grad[i3 + XX] += gxi;
         grad[i3 + YY] += gyi;
         grad[i3 + ZZ] += gzi;
         // Atom I is reduced by Atom redI;
         int r3 = redi * 3;
         grad[r3 + XX] += gxredi;
         grad[r3 + YY] += gyredi;
         grad[r3 + ZZ] += gzredi;
       }
 
       // Remove masks
       for (int ii = maskPointers[i3]; ii < maskPointers[i3 + 1]; ii++) {
         mask[masks[ii]] = 1.0;
       }
       for (int ii = maskPointers[i3 + 1]; ii < maskPointers[i3 + 2]; ii++) {
         mask[masks[ii]] = 1.0;
       }
       for (int ii = maskPointers[i3 + 2]; ii < maskPointers[i3 + 3]; ii++) {
         mask[masks[ii]] = 1.0;
       }
     }
   }
 
   /**
    * The energy routine may be called repeatedly.
    *
    * @param gradient If true, gradients with respect to atomic coordinates are computed.
    * @param print    If true, there is verbose printing.
    * @return The energy.
    * @since 1.0
    */
   public double energy(boolean gradient, boolean print) {
 
     if (vdwForm.vdwType != VDWType.VDW_TYPE.BUFFERED_14_7) {
       logger.severe((" TornadoVM vdW only supports AMOEBA."));
     }
 
     // Initialize coordinates and gradient array.
     for (int i = 0; i < nAtoms; i++) {
       Atom atom = atoms[i];
       // Load atomic coordinates.
       double x = atom.getX();
       double y = atom.getY();
       double z = atom.getZ();
       int i3 = i * 3;
       coordinates[i3 + XX] = x;
       coordinates[i3 + YY] = y;
       coordinates[i3 + ZZ] = z;
     }
 
     double[] eps = vdwForm.getEps();
     double[] rmin = vdwForm.getRmin();
 
     // Compute reduced hydrogen atom coordinates.
     double[] reducedXYZ = new double[nAtoms * 3];
     final byte XX = 0;
     final byte YY = 1;
     final byte ZZ = 2;
     for (int i = 0; i < nAtoms; i++) {
       int i3 = i * 3;
       double x = coordinates[i3 + XX];
       double y = coordinates[i3 + YY];
       double z = coordinates[i3 + ZZ];
       int redIndex = reductionIndex[i];
       if (redIndex >= 0) {
         int r3 = redIndex * 3;
         double rx = coordinates[r3 + XX];
         double ry = coordinates[r3 + YY];
         double rz = coordinates[r3 + ZZ];
         double r = reductionValue[i];
         reducedXYZ[i3 + XX] = r * (x - rx) + rx;
         reducedXYZ[i3 + YY] = r * (y - ry) + ry;
         reducedXYZ[i3 + ZZ] = r * (z - rz) + rz;
       } else {
         reducedXYZ[i3 + XX] = x;
         reducedXYZ[i3 + YY] = y;
         reducedXYZ[i3 + ZZ] = z;
       }
     }
 
     // Gradient flag.
     double doGradient = 0.0;
     if (gradient) {
       doGradient = 1.0;
     }
 
     // Initialize periodic boundary conditions.
     Crystal c = crystal;
     double[] A = {c.A00, c.A01, c.A02, c.A10, c.A11, c.A12, c.A20, c.A21, c.A22};
     double[] Ai = {c.Ai00, c.Ai01, c.Ai02, c.Ai10, c.Ai11, c.Ai12, c.Ai20, c.Ai21, c.Ai22};
     double[] bondedScaleFactors = {vdwForm.scale12, vdwForm.scale13, vdwForm.scale14};
     double aperiodic = 0.0;
     if (crystal.aperiodic()) {
       aperiodic = 1.0;
     }
 
     // Periodic boundary information, plus include the gradient flag.
     double[] cutoffs = {aperiodic, vdwTaper, vdwCutoff, doGradient};
 
     // Output
     double[] energy = new double[1];
     int[] interactions = new int[1];
     if (gradient) {
       fill(grad, 0.0);
     }
 
     // Check the method without TornadoVM
     tornadoEnergy(
         atomClass,
         eps,
         rmin,
         reducedXYZ,
         reductionIndex,
         reductionValue,
         bondedScaleFactors,
         maskPointer,
         mask,
         A,
         Ai,
         cutoffs,
         energy,
         interactions,
         grad);
 
     logger.info(format(" JVM: %16.8f %d", energy[0], interactions[0]));
 
     energy[0] = 0.0;
     interactions[0] = 0;
     if (gradient) {
       fill(grad, 0.0);
     }
 
     TornadoDevice device = TornadoRuntimeProvider.getTornadoRuntime().getDefaultDevice();
     FFXTornado.logDevice(device);
     TaskGraph graph =
         new TaskGraph("vdW").transferToDevice(EVERY_EXECUTION,
                 atomClass, eps, rmin, reducedXYZ, reductionIndex, reductionValue,
                 bondedScaleFactors, maskPointer, mask,
                 A, Ai, cutoffs, energy, interactions, grad)
             .task("energy", VanDerWaalsTornado::tornadoEnergy,
                 atomClass, eps, rmin, reducedXYZ, reductionIndex, reductionValue,
                 bondedScaleFactors, maskPointer, mask,
                 A, Ai, cutoffs, energy, interactions, grad)
             .transferToHost(EVERY_EXECUTION, energy, interactions, grad);
 
     ImmutableTaskGraph itg = graph.snapshot();
     TornadoExecutionPlan executionPlan = new TornadoExecutionPlan(itg);
     executionPlan.withWarmUp().withDevice(device);
     executionPlan.execute();
 
     logger.info(format(" Tornado OpenCL: %16.8f %d", energy[0], interactions[0]));
 
     // Add gradient to atoms.
     if (gradient) {
       for (int i = 0; i < nAtoms - 1; i++) {
         Atom ai = atoms[i];
         int i3 = i * 3;
         ai.addToXYZGradient(grad[i3 + XX], grad[i3 + YY], grad[i3 + ZZ]);
       }
     }
 
     this.energy = energy[0];
     this.interactions = interactions[0];
     return this.energy;
   }
 
   /**
    * Get the total Van der Waals potential energy.
    *
    * @return The energy.
    * @since 1.0
    */
   public double getEnergy() {
     return energy;
   }
 
   /**
    * Get the number of interacting pairs.
    *
    * @return The interaction count.
    * @since 1.0
    */
   public int getInteractions() {
     return interactions;
   }
 
   /**
    * Setter for the field <code>atoms</code>.
    *
    * @param atoms an array of {@link Atom} objects.
    */
   public void setAtoms(Atom[] atoms) {
     this.atoms = atoms;
     this.nAtoms = atoms.length;
     initAtomArrays();
   }
 
   /**
    * If the crystal being passed in is not equal to the current crystal, then some Van der Waals
    * data structures may need to updated. If <code>nSymm</code> has changed, update arrays
    * dimensioned by nSymm. Finally, rebuild the neighbor-lists.
    *
    * @param crystal The new crystal instance defining the symmetry and boundary conditions.
    */
   public void setCrystal(Crystal crystal) {
     this.crystal = crystal;
     int newNSymm = crystal.getNumSymOps();
     if (newNSymm != 1) {
       String message = " SymOps are not supported by VanDerWaalsTornado.\n";
       logger.log(Level.SEVERE, message);
     }
   }
 
   /**
    * {@inheritDoc}
    */
   @Override
   public String toString() {
     StringBuffer sb = new StringBuffer("\n  Van der Waals\n");
     sb.append(format("   Switch Start:                         %6.3f (A)\n", vdwTaper));
     sb.append(format("   Cut-Off:                              %6.3f (A)\n", vdwCutoff));
     return sb.toString();
   }
 
   /**
    * Allocate coordinate arrays and set up reduction indices and values.
    */
   private void initAtomArrays() {
     if (atomClass == null || nAtoms > atomClass.length) {
       atomClass = new int[nAtoms];
       coordinates = new double[nAtoms * 3];
       reductionIndex = new int[nAtoms];
       reductionValue = new double[nAtoms];
       grad = new double[nAtoms * 3];
       maskPointer = new int[nAtoms * 3 + 1];
     }
 
     int numBonds = 0;
     int numAngles = 0;
     int numTorsions = 0;
     for (int i = 0; i < nAtoms; i++) {
       Atom ai = atoms[i];
       numBonds += ai.getNumBonds();
       numAngles += ai.getNumAngles();
       numTorsions += ai.getNumDihedrals();
     }
     mask = new int[numBonds + numAngles + numTorsions];
 
     int[][] mask12 = getMask12();
     int[][] mask13 = getMask13();
     int[][] mask14 = getMask14();
 
     int index = 0;
     for (int i = 0; i < nAtoms; i++) {
       Atom ai = atoms[i];
       assert (i == ai.getXyzIndex() - 1);
       double[] xyz = ai.getXYZ(null);
       int i3 = i * 3;
       coordinates[i3 + XX] = xyz[XX];
       coordinates[i3 + YY] = xyz[YY];
       coordinates[i3 + ZZ] = xyz[ZZ];
       AtomType atomType = ai.getAtomType();
       if (atomType == null) {
         logger.severe(ai.toString());
       }
       String vdwIndex = forceField.getString("VDWINDEX", "Class");
       if (vdwIndex.equalsIgnoreCase("Type")) {
         atomClass[i] = atomType.type;
       } else {
         atomClass[i] = atomType.atomClass;
       }
       VDWType type = forceField.getVDWType(Integer.toString(atomClass[i]));
       if (type == null) {
         logger.info(" No VdW type for atom class " + atomClass[i]);
         logger.severe(" No VdW type for atom " + ai);
         return;
       }
       ai.setVDWType(type);
       List<Bond> bonds = ai.getBonds();
       numBonds = bonds.size();
       if (type.reductionFactor > 0.0 && numBonds == 1) {
         Bond bond = bonds.get(0);
         Atom heavyAtom = bond.get1_2(ai);
         // Atom indexes start at 1
         reductionIndex[i] = heavyAtom.getIndex() - 1;
         reductionValue[i] = type.reductionFactor;
       } else {
         reductionIndex[i] = i;
         reductionValue[i] = 0.0;
       }
       // Store bond mask for atom i.
       maskPointer[3 * i] = index;
       for (int value : mask12[i]) {
         mask[index++] = value;
       }
       maskPointer[3 * i + 1] = index;
       for (int value : mask13[i]) {
         mask[index++] = value;
       }
       maskPointer[3 * i + 2] = index;
       for (int value : mask14[i]) {
         mask[index++] = value;
       }
     }
     maskPointer[3 * nAtoms] = index;
   }
 
   /**
    * Log the Van der Waals interaction.
    *
    * @param i    Atom i.
    * @param k    Atom j.
    * @param minr The minimum vdW separation distance.
    * @param r    The distance rij.
    * @param eij  The interaction energy.
    * @since 1.0
    */
   private void log(int i, int k, double minr, double r, double eij) {
     logger.info(
         format(
             "VDW %6d-%s %6d-%s %10.4f  %10.4f  %10.4f",
             atoms[i].getIndex(),
             atoms[i].getAtomType().name,
             atoms[k].getIndex(),
             atoms[k].getAtomType().name,
             1.0 / minr,
             r,
             eij));
   }
 }