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The JCAMP-DX project is the reference implemention of the IUPAC JCAMP-DX spectroscopy data standard.

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package org.jcamp.spectrum;

import org.jcamp.math.AxisMap;
import org.jcamp.math.DataException;
import org.jcamp.math.LinearAxisMap;
import org.jcamp.math.LinearGrid2D;
import org.jcamp.math.Range1D;
import org.jcamp.math.Range3D;
import org.jcamp.math.RectangularGrid2D;

/**
 * 2D spectra.
 * 
 * @author Thomas Weber
 */
abstract public class Spectrum2D
  extends Spectrum {
  
  /** for serialization. */
  
  private static final long serialVersionUID = 8483858856131296895L;
  protected IOrderedDataArray1D yData;
  protected IOrderedDataArray1D xData;
  protected IDataArray1D zData;
  protected AxisMap xAxisMap;
  protected AxisMap yAxisMap;
  protected AxisMap zAxisMap;
  protected boolean fullSpectrum = true;
  private LinearGrid2D xyGrid = null;

  /**
   * standard Spectrum2D ctor.
   */
  protected Spectrum2D(IOrderedDataArray1D x, IOrderedDataArray1D y, IDataArray1D z) {
    super();
    this.xData = x;
    this.yData = y;
    this.zData = z;
    this.fullSpectrum = true;
    if (x instanceof IEquidistant && y instanceof IEquidistant)
      xyGrid = new LinearGrid2D(((IEquidistant) x).getDataGrid(), ((IEquidistant) y).getDataGrid());
  }

  /**
   * cloning.
   * 
   * @return java.lang.Object
   */
  @Override
  public Object clone() {
    return (Spectrum2D) super.clone();
  }

  /**
   * gets data range.
   */
  public Range3D.Double getDataRange() {
    return new Range3D.Double(xAxisMap.getDataRange(), yAxisMap.getDataRange(), zAxisMap.getDataRange());
  }

  /**
   * gets label on x-axis.
   * 
   * @return java.lang.String
   */
  @Override
  public String getXAxisLabel() {
    if (xData != null)
      return xData.getLabel();
    else
      return "";
  }

  /**
   * gets mapping to x axis.
   * @return AxisMap
   */
  @Override
  public AxisMap getXAxisMap() {
    return xAxisMap;
  }

  /**
   * gets x data.
   * 
   * @return com.creon.chem.spectrum.IOrderedDataArray1D
   */
  public IOrderedDataArray1D getXData() {
    return xData;
  }

  /**
   * gets full view range on x axis.
   */
  public Range1D.Double getXFullViewRange() {
    return new Range1D.Double(xAxisMap.getFullViewRange());
  }

  /**
   * gets label on y-axis.
   * 
   * @return java.lang.String
   */
  @Override
  public String getYAxisLabel() {
    if (yData != null)
      return yData.getLabel();
    else
      return "";
  }

  /**
   * gets mapping to y axis.
   * @return AxisMap
   */
  @Override
  public AxisMap getYAxisMap() {
    return yAxisMap;
  }

  /**
   * gets y data.
   * 
   * @return com.creon.chem.spectrum.IOrderedDataArray1D
   */
  public IOrderedDataArray1D getYData() {
    return yData;
  }

  /**
   * gets full view range on y axis.
   */
  public Range1D.Double getYFullViewRange() {
    return new Range1D.Double(yAxisMap.getFullViewRange());
  }

  /**
   * gets label on z-axis.
   * 
   * @return java.lang.String
   */
  public String getZAxisLabel() {
    if (zData != null)
      return zData.getLabel();
    else
      return "";
  }

  /**
   * gets mapping to z axis.
   * @return AxisMap
   */
  public AxisMap getZAxisMap() {
    return zAxisMap;
  }

  /**
   * gets z data.
   * 
   * @return com.creon.chem.spectrum.IDataArray1D
   */
  public IDataArray1D getZData() {
    return zData;
  }

  /**
   * gets full view range on z axis.
   */
  public Range1D.Double getZFullViewRange() {
    return new Range1D.Double(zAxisMap.getFullViewRange());
  }

  /**
   * interpolate spectrum z-value for given spectrum xy coordinate.
   * @param x double
   * @param y double
   * @return double     interpolated height
   */
  public double interpolateZ(double xvalue, double yvalue) {
    if (xyGrid != null)
      return interpolateZGrid(xvalue, yvalue);
    else
      return interpolateZArray(xvalue, yvalue);
  }

  /**
   * interpolate spectrum z-value for given spectrum xy coordinate.
   * @param x double
   * @param y double
   * @return double     interpolated height
   */
  private double interpolateZArray(double xvalue, double yvalue) {
    // slow algo for xy arrays
    final double EPS = 1E-10;
    int lengthX = xData.getLength();

    int[] bx;
    int[] by;
    try {
      bx = xData.boundIndices(xvalue);
      by = yData.boundIndices(yvalue);
    } catch (DataException e) {
      return 0.0;
    };
    double x0, x1, y0, y1, dx, dy;
    if (bx[0] == bx[1]) {
      if (by[0] == by[1]) // on grid!
      return zData.pointAt(by[0] * lengthX + bx[0]);
      // calculate interpolation weights
      x0 = xData.pointAt(bx[0]);
      x1 = x0;
      dx = 0.;
      y1 = yData.pointAt(by[1]);
      y0 = yData.pointAt(by[0]);
      if (yvalue - y0 > EPS)
	if (y1 - yvalue > EPS)
	  dy = Math.max(0., Math.min(1., (yvalue - y0) / (y1 - y0)));
	else
	  dy = 1.0;
      else
	dy = 0.;
    } else {
      x0 = xData.pointAt(bx[0]);
      x1 = xData.pointAt(bx[1]);

      if (xvalue - x0 > EPS)
	if (x1 - xvalue > EPS)
	  dx = Math.max(0., Math.min(1., (xvalue - x0) / (x1 - x0)));
	else
	  dx = 1.0;
      // min max to avoid rounding errors
      else
	dx = 0.;
      if (by[0] == by[1]) {
	y0 = yData.pointAt(by[0]);
	y1 = y0;
	dy = 0;
      } else {
	y0 = yData.pointAt(by[0]);
	y1 = yData.pointAt(by[1]);
	if (yvalue - y0 > EPS)
	  if (y1 - yvalue > EPS)
	    dy = Math.max(0., Math.min(1., (yvalue - y0) / (y1 - y0)));
	  else
	    dy = 1.0;
	else
	  dy = 0.;
      }
    }
    if (dx == 0) {
      if (dy == 0)
	return zData.pointAt(by[0] * lengthX + bx[0]);
      else if (dy == 1)
	return zData.pointAt(by[1] * lengthX + bx[0]);
    } else if (dx == 1) {
      if (dy == 0)
	return zData.pointAt(by[0] * lengthX + bx[1]);
      else if (dy == 1)
	return zData.pointAt(by[1] * lengthX + bx[1]);
    }
    // bounding rectangle:
    int lb = by[0] * lengthX + bx[0];
    int rb = by[0] * lengthX + bx[1];
    int lt = by[1] * lengthX + bx[0];
    int rt = by[1] * lengthX + bx[1];
    double zlb = zData.pointAt(lb);
    double zrb = zData.pointAt(rb);
    double zlt = zData.pointAt(lt);
    double zrt = zData.pointAt(rt);
    double zvalue;
    if (dx + dy - 1 < 0) {
      zvalue = zlb + dx * (zrb - zlb) + dy * (zlt - zlb);
    } else {
      dx = 1.0 - dx;
      dy = 1.0 - dy;
      zvalue = zrt + dx * (zlt - zrt) + dy * (zrb - zrt);
    }
    return zvalue;
  }

  /**
   * interpolate spectrum z-value for given spectrum xy coordinate.
   * @param x double
   * @param y double
   * @return double     interpolated height
   */
  private double interpolateZGrid(double xvalue, double yvalue) {
    // faster algo for xy grids
    int lengthX = xyGrid.getXGrid().getLength();
    int lengthY = xyGrid.getYGrid().getLength();
    double gx = xyGrid.getXGrid().coordinateAt(xvalue);
    double gy = xyGrid.getYGrid().coordinateAt(yvalue);
    if (gx < -0.5 || gx > lengthX - 0.5 || gy < -0.5 || gy > lengthY - 0.5) { // out of bounds
      return Double.NaN;
    }
    // find nearest integer lesser than g
    int gx0 = (int) Math.floor(gx + 0.5);
    if (gx0 < 0)
      gx0 = 0;
    if (gx0 > lengthX - 2)
      gx0 = lengthX - 2;
    int gy0 = (int) Math.floor(gy + 0.5);
    if (gy0 < 0)
      gy0 = 0;
    if (gy0 > lengthY - 2)
      gy0 = lengthY - 2;
    // bounding rectangle:
    int lb = gy0 * lengthX + gx0;
    int rb = gy0 * lengthX + gx0 + 1;
    int lt = (gy0 + 1) * lengthX + gx0;
    int rt = (gy0 + 1) * lengthX + gx0 + 1;
    double dx = Math.max(0.0, Math.min(1.0, gx - gx0));
    double dy = Math.max(0.0, Math.min(1.0, gy - gy0));
    double zlb = zData.pointAt(lb);
    double zrb = zData.pointAt(rb);
    double zlt = zData.pointAt(lt);
    double zrt = zData.pointAt(rt);
    if (dx + dy - 1 < 0) {
      return zlb + dx * (zrb - zlb) + dy * (zlt - zlb);
    } else {
      dx = Math.max(0.0, Math.min(1.0, gx0 + 1 - gx));
      dy = Math.max(0.0, Math.min(1.0, gy0 + 1 - gy));
      dx = gx0 + 1 - gx;
      dy = gy0 + 1 - gy;
      return zrt + dx * (zlt - zrt) + dy * (zrb - zrt);
    }
  }

  /**
   * isFullSpectrum method comment.
   */
  @Override
  public boolean isFullSpectrum() {
    return fullSpectrum;
  }

  /**
   * isSameType method comment.
   */
  @Override
  public boolean isSameType(Spectrum otherSpectrum) {
    return false;
  }

  /**
   * faster complete interpolation
   * 
   * @return double[]
   * @param newGrid com.creon.math.RectangularGrid2D
   */
  public double[] resample(RectangularGrid2D newGrid) {
    if (xyGrid != null)
      return xyGrid.interpolate(newGrid, zData.toArray());
    else {
      int n = newGrid.getLength();
      double[] sampled = new double[n];
      for (int i = 0; i < n; i++) {
	double[] xy = newGrid.gridPointAt(i);
	sampled[i] = interpolateZArray(xy[0], xy[1]);
      }
      return sampled;
    }
  }

  /**
   * sets full spectrum status.
   * 
   * @param newFullSpectrum boolean
   */
  public void setFullSpectrum(boolean newFullSpectrum) {
    fullSpectrum = newFullSpectrum;
  }

  /**
   * set ful view data range in mapping
   * should be overloaded
   * @param range Range3D
   */
  public void setFullViewRange(Range3D.Double range) {
    setXFullViewRange(range.getRange(0));
    setYFullViewRange(range.getRange(1));
    setZFullViewRange(range.getRange(2));
  }

  /**
   * sets full view range on x axis
   */
  public void setXFullViewRange(Range1D.Double dataRange) {
    xAxisMap = new LinearAxisMap(xData, dataRange);
  }

  /**
   * sets full view range on y axis.
   */
  public void setYFullViewRange(Range1D.Double dataRange) {
    yAxisMap = new LinearAxisMap(yData, dataRange);
  }

  /**
   * sets full view range on z axis
   */
  public void setZFullViewRange(Range1D.Double dataRange) {
    zAxisMap = new LinearAxisMap(zData, dataRange);
  }
}




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