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/*
 * Copyright 1998-2014 University Corporation for Atmospheric Research/Unidata
 *
 *   Portions of this software were developed by the Unidata Program at the
 *   University Corporation for Atmospheric Research.
 *
 *   Access and use of this software shall impose the following obligations
 *   and understandings on the user. The user is granted the right, without
 *   any fee or cost, to use, copy, modify, alter, enhance and distribute
 *   this software, and any derivative works thereof, and its supporting
 *   documentation for any purpose whatsoever, provided that this entire
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 *   supporting documentation.  Further, UCAR requests that the user credit
 *   UCAR/Unidata in any publications that result from the use of this
 *   software or in any product that includes this software. The names UCAR
 *   and/or Unidata, however, may not be used in any advertising or publicity
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package ucar.nc2.dataset;

import ucar.ma2.*;
import ucar.nc2.*;
import ucar.nc2.constants.AxisType;
import ucar.nc2.constants.CF;
import ucar.nc2.util.Misc;
import ucar.nc2.util.NamedObject;
import ucar.unidata.util.Format;

import java.io.IOException;
import java.util.ArrayList;
import java.util.List;

/**
 * A 1-dimensional Coordinate Axis. Its values must be monotonic.
 * 

* If this is char valued, it will have rank 2, otherwise it will have rank 1. *

* If string or char valued, only getCoordName() can be called. *

* If the coordinates are regularly spaced, isRegular() is true, and the values are equal to * getStart() + i * getIncrement(). *

* This will also set "cell bounds" for this axis. By default, the cell bounds are midway between the coordinates values, * and are therefore contiguous, and can be accessed though getCoordEdge(i). * The only way the bounds can be set is if the coordinate variable has an attribute "bounds" that points to another variable * bounds(ncoords,2). These contain the cell bounds, and must be ascending or descending as the coordinate values are. In * this case isContiguous() is true when bounds1(i+1) == bounds2(i) for all i. * * @author john caron * @see CoordinateAxis#factory */ public class CoordinateAxis1D extends CoordinateAxis { static private org.slf4j.Logger log = org.slf4j.LoggerFactory.getLogger(CoordinateAxis1D.class); private boolean wasRead = false; // have the data values been read private boolean wasCalcRegular = false; // have we checked if the data is regularly spaced ? private boolean wasBoundsDone = false; // have we created the bounds arrays if exists ? private boolean isInterval = false; // is this an interval coordinates - then should use bounds private boolean isAscending; // read in on doRead() private double[] coords; // coordinate values, must be between edges private String[] names = null; // only set if String or char values // defer making until asked, use makeBounds() private double[] edge; // n+1 edges, edge[k] < midpoint[k] < edge[k+1] private double[] bound1, bound2; // may be contiguous or not /** * Create a 1D coordinate axis from an existing Variable * * @param ncd the containing dataset * @param vds wrap this VariableDS, which is not changed. */ public CoordinateAxis1D(NetcdfDataset ncd, VariableDS vds) { super(ncd, vds); vds.setCaching(true); } /** * Copy constructor * @param ncd ok to reparent * @param org copy from here */ CoordinateAxis1D(NetcdfDataset ncd, CoordinateAxis1D org) { super(ncd, org); this.orgName = org.orgName; this.cache = new Variable.Cache(); // decouple cache org.setCaching(true); // copy rest of state this.increment = org.getIncrement(); this.isAscending = org.isAscending; this.isInterval = org.isInterval(); this.isRegular = org.isRegular(); this.coords = org.getCoordValues(); this.edge = org.getCoordEdges(); this.names = org.names; if (isInterval) { this.bound1 = org.getBound1(); this.bound2 = org.getBound2(); } this.wasBoundsDone = org.wasBoundsDone; this.wasCalcRegular = org.wasCalcRegular; this.wasRead = org.wasRead; } /** * Constructor when theres no underlying variable. You better set the values too! * * @param ds the containing dataset. * @param group the containing group; if null, use rootGroup * @param shortName axis name. * @param dataType data type * @param dims list of dimension names * @param units units of coordinates, preferably udunit compatible. * @param desc long name. */ public CoordinateAxis1D(NetcdfDataset ds, Group group, String shortName, DataType dataType, String dims, String units, String desc) { super(ds, group, shortName, dataType, dims, units, desc); } /** * Create a new CoordinateAxis1D as a section of this CoordinateAxis1D. * * @param r the section range * @return a new CoordinateAxis1D as a section of this CoordinateAxis1D * @throws InvalidRangeException if IllegalRange */ public CoordinateAxis1D section(Range r) throws InvalidRangeException { Section section = new Section().appendRange(r); CoordinateAxis1D result = (CoordinateAxis1D) section(section); int len = r.length(); // deal with the midpoints, bounds double[] new_mids = new double[len]; for (int idx = 0; idx < len; idx++) { int old_idx = r.element(idx); new_mids[idx] = coords[old_idx]; } result.coords = new_mids; if (isInterval) { double[] new_bound1 = new double[len]; double[] new_bound2 = new double[len]; double[] new_edge = new double[len+1]; for (int idx = 0; idx < len; idx++) { int old_idx = r.element(idx); new_bound1[idx] = bound1[old_idx]; new_bound2[idx] = bound2[old_idx]; new_edge[idx] = bound1[old_idx]; new_edge[idx+1] = bound2[old_idx]; // all but last are overwritten } result.bound1 = new_bound1; result.bound2 = new_bound2; result.edge = new_edge; } else { double[] new_edge = new double[len+1]; for (int idx = 0; idx < len; idx++) { int old_idx = r.element(idx); new_edge[idx] = edge[old_idx]; new_edge[idx+1] = edge[old_idx+1]; // all but last are overwritten } result.edge = new_edge; } if (names != null) { String[] new_names = new String[len]; for (int idx = 0; idx < len; idx++) { int old_idx = r.element(idx); new_names[idx] = names[old_idx]; } result.names = new_names; } return result; } // for section and slice @Override protected Variable copy() { return new CoordinateAxis1D(this.ncd, this); } @Override public CoordinateAxis copyNoCache() { CoordinateAxis1D axis = new CoordinateAxis1D(ncd, getParentGroup(), getShortName(), getDataType(), getDimensionsString(), getUnitsString(), getDescription()); // other state axis.axisType = this.axisType; axis.boundaryRef = this.boundaryRef; axis.isContiguous = this.isContiguous; axis.positive = this.positive; axis.cache = new Variable.Cache(); // decouple cache return axis; } /** * Get the list of names, to be used for user selection. * The ith one refers to the ith coordinate. * * @return List of ucar.nc2.util.NamedObject, or empty list. */ public List getNames() { int n = getDimension(0).getLength(); List names = new ArrayList<>(n); for (int i = 0; i < n; i++) names.add(new ucar.nc2.util.NamedAnything(getCoordName(i), getUnitsString())); return names; } /** * The "name" of the ith coordinate. If nominal, this is all there is to a coordinate. * If numeric, this will return a String representation of the coordinate. * * @param index which one ? * @return the ith coordinate value as a String */ public String getCoordName(int index) { if (!wasRead) doRead(); if (isNumeric()) return Format.d(getCoordValue(index), 5, 8); else return names[index]; } /** * Get the ith coordinate value. This is the value of the coordinate axis at which * the data value is associated. These must be strictly monotonic. * * @param index which coordinate. Between 0 and getNumElements()-1 inclusive. * @return coordinate value. * @throws UnsupportedOperationException if !isNumeric() */ public double getCoordValue(int index) { if (!isNumeric()) throw new UnsupportedOperationException("CoordinateAxis1D.getCoordValue() on non-numeric"); if (!wasRead) doRead(); return coords[index]; } @Override public double getMinValue() { if (!isNumeric()) throw new UnsupportedOperationException("CoordinateAxis1D.getCoordValue() on non-numeric"); if (!wasRead) doRead(); return Math.min(coords[0], coords[(int) getSize() - 1]); } @Override public double getMaxValue() { if (!isNumeric()) throw new UnsupportedOperationException("CoordinateAxis1D.getCoordValue() on non-numeric"); if (!wasRead) doRead(); return Math.max(coords[0], coords[(int) getSize() - 1]); } /** * Get the ith coordinate edge. Exact only if isContiguous() is true, otherwise use getBound1() and getBound2(). * This is the value where the underlying grid element switches * from "belonging to" coordinate value i-1 to "belonging to" coordinate value i. * In some grids, this may not be well defined, and so should be considered an * approximation or a visualization hint. *

   *  Coordinate edges must be strictly monotonic:
   *    coordEdge(0) < coordValue(0) < coordEdge(1) < coordValue(1) ...
   *    ... coordEdge(i) < coordValue(i) < coordEdge(i+1) < coordValue(i+1) ...
   *    ... coordEdge(n-1) < coordValue(n-1) < coordEdge(n)
   *  
* * @param index which coordinate. Between 0 and getNumElements() inclusive. * @return coordinate edge. * @throws UnsupportedOperationException if !isNumeric() */ public double getCoordEdge(int index) { if (!isNumeric()) throw new UnsupportedOperationException("CoordinateAxis1D.getCoordEdge() on non-numeric"); if (!wasBoundsDone) makeBounds(); return edge[index]; } /** * Get the coordinate values as a double array. * * @return coordinate value. * @throws UnsupportedOperationException if !isNumeric() */ public double[] getCoordValues() { if (!isNumeric()) throw new UnsupportedOperationException("CoordinateAxis1D.getCoordValues() on non-numeric"); if (!wasRead) doRead(); return coords.clone(); } /** * Get the coordinate edges as a double array. * Exact only if isContiguous() is true, otherwise use getBound1() and getBound2(). * * @return coordinate edges. * @throws UnsupportedOperationException if !isNumeric() */ public double[] getCoordEdges() { if (!isNumeric()) throw new UnsupportedOperationException("CoordinateAxis1D.getCoordEdges() on non-numeric"); if (!wasBoundsDone) makeBounds(); return edge.clone(); } @Override public boolean isContiguous() { if (!wasBoundsDone) makeBounds(); // this sets isContiguous return isContiguous; } /////////////////////////////////////////////// /** * If this coordinate has interval values. * If so, then one should use getBound1, getBound2, and not getCoordEdges() * @return true if coordinate has interval values */ public boolean isInterval() { if (!wasBoundsDone) makeBounds(); // this sets isInterval return isInterval; } /** * Get the coordinate bound1 as a double array. * bound1[i] # coordValue[i] # bound2[i], where # is < if increasing (bound1[i] < bound1[i+1]) * else < if decreasing. * * @return coordinate bound1. * @throws UnsupportedOperationException if !isNumeric() */ public double[] getBound1() { if (!isNumeric()) throw new UnsupportedOperationException("CoordinateAxis1D.getBound1() on non-numeric"); if (!wasBoundsDone) makeBounds(); if (bound1 == null) makeBoundsFromEdges(); assert bound1 != null; return bound1.clone(); } /** * Get the coordinate bound1 as a double array. * bound1[i] # coordValue[i] # bound2[i], where # is < if increasing (bound1[i] < bound1[i+1]) * else < if decreasing. * * @return coordinate bound2. * @throws UnsupportedOperationException if !isNumeric() */ public double[] getBound2() { if (!isNumeric()) throw new UnsupportedOperationException("CoordinateAxis1D.getBound2() on non-numeric"); if (!wasBoundsDone) makeBounds(); if (bound2 == null) makeBoundsFromEdges(); assert bound2 != null; return bound2.clone(); } /** * Get the coordinate bounds for the ith coordinate. * Can use this for isContiguous() true or false. * * @param i coordinate index * @return double[2] edges for ith coordinate */ public double[] getCoordBounds(int i) { if (!wasBoundsDone) makeBounds(); double[] e = new double[2]; if (isContiguous()) { e[0] = getCoordEdge(i); e[1] = getCoordEdge(i + 1); } else { e[0] = bound1[i]; e[1] = bound2[i]; } return e; } /** * Given a coordinate position, find what grid element contains it. * This means that *
   * edge[i] <= pos < edge[i+1] (if values are ascending)
   * edge[i] > pos >= edge[i+1] (if values are descending)
   * 
* * @param coordVal position in this coordinate system * @return index of grid point containing it, or -1 if outside grid area */ public int findCoordElement(double coordVal) { if (!isNumeric()) throw new UnsupportedOperationException("CoordinateAxis.findCoordElement() on non-numeric"); if (isRegular()) return findCoordElementRegular(coordVal, false); if (isContiguous()) return findCoordElementIrregular(coordVal, false); else return findCoordElementNonContiguous(coordVal, false); } /** * Given a coordinate position, find what grid element contains it, or is closest to it. * * @param coordVal position in this coordinate system * @return index of grid point containing it, or best estimate of closest grid interval. */ public int findCoordElementBounded(double coordVal) { if (!isNumeric()) throw new UnsupportedOperationException("CoordinateAxis.findCoordElementBounded() on non-numeric"); if (isRegular()) return findCoordElementRegular(coordVal, true); if (isContiguous()) return findCoordElementIrregular(coordVal, true); else return findCoordElementNonContiguous(coordVal, true); } /** * @deprecated use findCoordElement(coordVal) */ public int findCoordElement(double coordVal, int lastIndex) { return findCoordElement(coordVal); } ////////////////////////////////////////////////////////////////// // following is from Jon Blower's ncWMS // faster routines for coordValue -> index search // significantly modified /** * Optimize the regular case * Gets the index of the given point. Uses index = (value - start) / stride, * hence this is faster than an exhaustive search. * from jon blower's ncWMS. * * @param coordValue The value along this coordinate axis * @param bounded if false and not in range, return -1, else nearest index * @return the index that is nearest to this point, or -1 if the point is * out of range for the axis */ private int findCoordElementRegular(double coordValue, boolean bounded) { int n = (int) this.getSize(); /* if (axisType == AxisType.Lon) { double maxValue = this.start + this.increment * n; if (betweenLon(coordValue, this.start, maxValue)) { double distance = LatLonPointImpl.getClockwiseDistanceTo(this.start, coordValue); double exactNumSteps = distance / this.increment; // This axis might wrap, so we make sure that the returned index is within range return ((int) Math.round(exactNumSteps)) % (int) this.getSize(); } else if (coordValue < this.start) { return bounded ? 0 : -1; } else { return bounded ? n - 1 : -1; } } */ double distance = coordValue - this.start; double exactNumSteps = distance / this.increment; int index = (int) Math.round(exactNumSteps); if (index < 0) return bounded ? 0 : -1; else if (index >= n) return bounded ? n - 1 : -1; return index; } private boolean betweenLon(double lon, double lonBeg, double lonEnd) { while (lon < lonBeg) lon += 360; return (lon >= lonBeg) && (lon <= lonEnd); } /** * Performs a binary search to find the index of the element of the array * whose value is contained in the interval, so must be contiguous. * * @param target The value to search for * @param bounded if false, and not in range, return -1, else nearest index * @return the index of the element in values whose value is closest to target, * or -1 if the target is out of range */ private int findCoordElementIrregular(double target, boolean bounded) { int n = (int) this.getSize(); int low = 0; int high = n; /* special case for longitude if (axisType == AxisType.Lon) { if (target < this.edge[low]) { target += 360.0; if (target > this.edge[high]) return bounded ? 0 : -1; } else if (target > this.edge[high]) { target -= 360.0; if (target < this.edge[low]) return bounded ? n - 1 : -1; } } */ if (isAscending) { // Check that the point is within range if (target < this.edge[low]) return bounded ? 0 : -1; else if (target > this.edge[high]) return bounded ? n - 1 : -1; // do a binary search to find the nearest index int mid = low; while (high > low + 1) { mid = (low + high) / 2; double midVal = this.edge[mid]; if (midVal == target) return mid; else if (midVal < target) low = mid; else high = mid; } return low; } else { // Check that the point is within range if (target > this.edge[low]) return bounded ? 0 : -1; else if (target < this.edge[high]) return bounded ? n - 1 : -1; // do a binary search to find the nearest index int mid = low; while (high > low + 1) { mid = (low + high) / 2; double midVal = this.edge[mid]; if (midVal == target) return mid; else if (midVal < target) high = mid; else low = mid; } return high - 1; } } /** * Given a coordinate position, find what grid element contains it. * Only use if isContiguous() == false * This algorithm does a linear search in the bound1[] amd bound2[] array. *

* This means that *

   * edge[i] <= pos < edge[i+1] (if values are ascending)
   * edge[i] > pos >= edge[i+1] (if values are descending)
   * 
* * @param target The value to search for * @param bounded if false, and not in range, return -1, else nearest index * @return the index of the element in values whose value is closest to target, * or -1 if the target is out of range */ private int findCoordElementNonContiguous(double target, boolean bounded) { double[] bounds1 = getBound1(); double[] bounds2 = getBound2(); int n = bounds1.length; if (isAscending) { // Check that the point is within range if (target < bounds1[0]) return bounded ? 0 : -1; else if (target > bounds2[n-1]) return bounded ? n-1 : -1; // do a linear search to find the nearest index for (int i=0; i target) { if (!bounded) return -1; double d1 = bound1[i] - target; double d2 = target - bound1[i-1]; return (d1 > d2) ? i-1 : i; } } return bounded ? n-1 : -1; } else { // Check that the point is within range if (target > bounds1[0]) return bounded ? 0 : -1; else if (target < bounds2[n-1]) return bounded ? n-1 : -1; // do a linear search to find the nearest index for (int i=0; i d2) ? i-1 : i; } } return bounded ? n-1 : -1; } } //////////////////////////////////// // hmmm dubious // private boolean isLayer = false; /* * Caution: many datasets do not explicitly specify this info, this is often a guess; default is false. * * @return true if coordinate lies between a layer, or false if its at a point. * public boolean isLayer() { return isLayer; } private void setIsLayer() { Attribute att = findAttribute(_Coordinate.ZisLayer); if ((att != null) && att.getStringValue().equalsIgnoreCase("true")) this.isLayer = true; } */ /////////////////////////////////////////////////////////////////////////////// // check if Regular private boolean isRegular = false; private double start, increment; /** * Get starting value if isRegular() * * @return starting value if isRegular() */ public double getStart() { calcIsRegular(); return start; } /** * Get increment value if isRegular() * * @return increment value if isRegular() */ public double getIncrement() { calcIsRegular(); return increment; } /** * If true, then value(i) = getStart() + i * getIncrement(). * * @return if evenly spaced. */ public boolean isRegular() { calcIsRegular(); return isRegular; } private void calcIsRegular() { if (wasCalcRegular) return; if (!wasRead) doRead(); if (!isNumeric()) isRegular = false; else if (getSize() < 2) isRegular = true; else { start = getCoordValue(0); int n = (int) getSize(); increment = (getCoordValue(n - 1) - getCoordValue(0)) / (n - 1); isRegular = true; for (int i = 1; i < getSize(); i++) if (!ucar.nc2.util.Misc.closeEnough(getCoordValue(i) - getCoordValue(i - 1), increment, 5.0e-3)) { isRegular = false; break; } } wasCalcRegular = true; } /////////////////////////////////////////////////////////////////////////////// private void doRead() { if (isNumeric()) { readValues(); wasRead = true; if (getSize() < 2) isAscending = true; else isAscending = getCoordValue(0) < getCoordValue(1); // calcIsRegular(); */ } else if (getDataType() == DataType.STRING) { readStringValues(); wasRead = true; } else { readCharValues(); wasRead = true; } } // turns longitude coordinate into monotonic, dealing with possible wrap. public void correctLongitudeWrap() { // correct non-monotonic longitude coords if (axisType != AxisType.Lon) { return; } if (!wasRead) doRead(); if (!wasBoundsDone) makeBounds(); boolean monotonic = true; for (int i = 0; i < coords.length - 1; i++) monotonic &= isAscending ? coords[i] < coords[i + 1] : coords[i] > coords[i + 1]; if (!monotonic) { boolean cross = false; if (isAscending) { for (int i = 0; i < coords.length; i++) { if (cross) coords[i] += 360; if (!cross && (i < coords.length - 1) && (coords[i] > coords[i + 1])) cross = true; } } else { for (int i = 0; i < coords.length; i++) { if (cross) coords[i] -= 360; if (!cross && (i < coords.length - 1) && (coords[i] < coords[i + 1])) cross = true; } } // LOOK - need to make sure we get stuff from the cache Array cachedData = Array.factory(DataType.DOUBLE, getShape(), coords); if (getDataType() != DataType.DOUBLE) cachedData = MAMath.convert(cachedData, getDataType()); setCachedData(cachedData); if (!isInterval) { makeEdges(); } } } // only used if String private void readStringValues() { int count = 0; Array data; try { data = read(); } catch (IOException ioe) { log.error("Error reading string coordinate values ", ioe); throw new IllegalStateException(ioe); } names = new String[(int) data.getSize()]; IndexIterator ii = data.getIndexIterator(); while (ii.hasNext()) names[count++] = (String) ii.getObjectNext(); } private void readCharValues() { int count = 0; ArrayChar data; try { data = (ArrayChar) read(); } catch (IOException ioe) { log.error("Error reading char coordinate values ", ioe); throw new IllegalStateException(ioe); } ArrayChar.StringIterator iter = data.getStringIterator(); names = new String[iter.getNumElems()]; while (iter.hasNext()) names[count++] = iter.next(); } private void readValues() { coords = new double[(int) getSize()]; int count = 0; Array data; try { // setUseNaNs(false); // missing values not allowed LOOK not true for point data !! data = read(); // if (!hasCachedData()) setCachedData(data, false); //cache data for subsequent reading } catch (IOException ioe) { log.error("Error reading coordinate values ", ioe); throw new IllegalStateException(ioe); } IndexIterator iter = data.getIndexIterator(); while (iter.hasNext()) coords[count++] = iter.getDoubleNext(); } /** * Calculate bounds, set isInterval, isContiguous */ private void makeBounds() { if (!wasRead) doRead(); if (isNumeric()) { if (!makeBoundsFromAux()) { makeEdges(); } } wasBoundsDone = true; } private boolean makeBoundsFromAux() { Attribute boundsAtt = findAttributeIgnoreCase(CF.BOUNDS); if ((null == boundsAtt) || !boundsAtt.isString()) return false; String boundsVarName = boundsAtt.getStringValue(); VariableDS boundsVar = (VariableDS) ncd.findVariable(getParentGroup(), boundsVarName); if (null == boundsVar) return false; if (2 != boundsVar.getRank()) return false; if (getDimension(0) != boundsVar.getDimension(0)) return false; if (2 != boundsVar.getDimension(1).getLength()) return false; Array data; try { boundsVar.setUseNaNs(false); // missing values not allowed data = boundsVar.read(); } catch (IOException e) { log.warn("CoordinateAxis1D.hasBounds read failed ", e); return false; } assert (data.getRank() == 2) && (data.getShape()[1] == 2) : "incorrect shape data for variable " + boundsVar; // extract the bounds int n = shape[0]; double[] value1 = new double[n]; double[] value2 = new double[n]; Index ima = data.getIndex(); for (int i = 0; i < n; i++) { ima.set0(i); value1[i] = data.getDouble(ima.set1(0)); value2[i] = data.getDouble(ima.set1(1)); } // flip if needed boolean firstLower = true; // in the first interval, is lower < upper ? for (int i=0; i value1[0] || (Misc.closeEnough(value1[n-1], value2[0]) && value2[n-1] > value2[0]); if (goesUp != firstLower) { double[] temp = value1; value1 = value2; value2 = temp; } // decide if they are contiguous boolean contig = true; for (int i = 0; i < n - 1; i++) { if (!ucar.nc2.util.Misc.closeEnough(value1[i + 1], value2[i])) contig = false; } if (contig) { edge = new double[n + 1]; edge[0] = value1[0]; for (int i = 1; i < n + 1; i++) edge[i] = value2[i - 1]; } else { // what does edge mean when not contiguous ?? edge = new double[n + 1]; edge[0] = value1[0]; for (int i = 1; i < n; i++) edge[i] = (value1[i] + value2[i - 1]) / 2; edge[n] = value2[n - 1]; isContiguous = false; } bound1 = value1; bound2 = value2; isInterval = true; return true; } private void makeEdges() { int size = (int) getSize(); edge = new double[size + 1]; if (size < 1) return; for (int i = 1; i < size; i++) edge[i] = (coords[i - 1] + coords[i]) / 2; edge[0] = coords[0] - (edge[1] - coords[0]); edge[size] = coords[size - 1] + (coords[size - 1] - edge[size - 1]); isContiguous = true; } private void makeBoundsFromEdges() { int size = (int) getSize(); if (size == 0) return; bound1 = new double[size]; bound2 = new double[size]; for (int i = 0; i < size; i++) { bound1[i] = edge[i]; bound2[i] = edge[i + 1]; } // flip if needed if (bound1[0] > bound2[0]) { double[] temp = bound1; bound1 = bound2; bound2 = temp; } } }




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