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The NetCDF-Java Library is a Java interface to NetCDF files,
as well as to many other types of scientific data formats.
The newest version!
/*
* 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
* notice appears in all copies of the software, derivative works and
* 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
* to endorse or promote any products or commercial entity unless specific
* written permission is obtained from UCAR/Unidata. The user also
* understands that UCAR/Unidata is not obligated to provide the user with
* any support, consulting, training or assistance of any kind with regard
* to the use, operation and performance of this software nor to provide
* the user with any updates, revisions, new versions or "bug fixes."
*
* THIS SOFTWARE IS PROVIDED BY UCAR/UNIDATA "AS IS" AND ANY EXPRESS OR
* IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
* WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
* DISCLAIMED. IN NO EVENT SHALL UCAR/UNIDATA BE LIABLE FOR ANY SPECIAL,
* INDIRECT OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING
* FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION OF CONTRACT,
* NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION
* WITH THE ACCESS, USE OR PERFORMANCE OF THIS SOFTWARE.
*/
package ucar.ma2;
import java.util.*;
/**
* A section of multidimensional array indices.
* Represented as List.
* Immutable if makeImmutable() was called.
*
* @author caron
*/
public class Section {
private List list;
private boolean immutable = false;
private boolean isvariablelength = false;
/**
* Create Section from a shape array, assumes 0 origin.
*
* @param shape array of lengths for each Range. 0 = EMPTY, < 0 = VLEN
*/
public Section(int[] shape) {
list = new ArrayList<>();
for (int aShape : shape) {
if (aShape > 0)
list.add(new Range(aShape));
else if (aShape == 0)
list.add(Range.EMPTY);
else {
list.add(Range.VLEN);
isvariablelength = true;
}
}
}
/**
* Create Section from a shape and origin arrays.
*
* @param origin array of start for each Range
* @param shape array of lengths for each Range
* @throws InvalidRangeException if origin < 0, or shape < 1.
*/
public Section(int[] origin, int[] shape) throws InvalidRangeException {
list = new ArrayList<>();
for (int i = 0; i < shape.length; i++) {
if (shape[i] > 0)
list.add(new Range(origin[i], origin[i] + shape[i] - 1));
else if (shape[i] == 0)
list.add(Range.EMPTY);
else {
list.add(Range.VLEN);
isvariablelength = true;
}
}
}
/**
* Create Section from a shape, origin, and stride arrays.
*
* @param origin array of start for each Range
* @param size array of lengths for each Range (last = origin + size -1)
* @param stride stride between consecutive elements, must be > 0
* @throws InvalidRangeException if origin < 0, or shape < 1.
*/
public Section(int[] origin, int[] size, int[] stride) throws InvalidRangeException {
list = new ArrayList<>();
for (int i = 0; i < size.length; i++) {
if (size[i] > 0)
list.add(new Range(origin[i], origin[i] + size[i] - 1, stride[i]));
else if (size[i] == 0)
list.add(Range.EMPTY);
else {
list.add(Range.VLEN);
isvariablelength = true;
}
}
}
/**
* Create Section from a List.
*
* @param from the list of Range
*/
public Section(List from) {
list = new ArrayList<>(from);
for (Range aFrom : from) {
if (aFrom == Range.VLEN)
isvariablelength = true;
}
}
/**
* Create Section from a variable length list of Ranges
*
* @param ranges the list
*/
public Section(Range... ranges) {
list = new ArrayList<>();
for (Range r : ranges) {
list.add(r);
if (r == Range.VLEN)
isvariablelength = true;
}
}
/**
* Copy Constructor.
* Returned copy is mutable
*
* @param from the Section to copy
*/
public Section(Section from) {
list = new ArrayList<>(from.getRanges());
}
/**
* Create Section from a List.
*
* @param from the list of Range
* @param shape use this as default shape if any of the ranges are null.
* @throws InvalidRangeException if shape and range list done match
*/
public Section(List from, int[] shape) throws InvalidRangeException {
list = new ArrayList<>(from);
setDefaults(shape);
}
/**
* Return a Section guaranteed to be non null, with no null Ranges, and within the bounds set by shape.
* A section with no nulls is called "filled".
* If s is already filled, return it, otherwise return a new Section, filled from the shape.
*
* @param s the original Section, may be null or not filled
* @param shape use this as default shape if any of the ranges are null.
* @return a filled Section
* @throws InvalidRangeException if shape and s and shape rank dont match, or if s has invalid range compared to shape
*/
static public Section fill(Section s, int[] shape) throws InvalidRangeException {
// want all
if (s == null)
return new Section(shape);
String errs = s.checkInRange(shape);
if (errs != null)
throw new InvalidRangeException(errs);
// if s is already filled, use it
boolean ok = true;
for (int i = 0; i < shape.length; i++)
ok &= (s.getRange(i) != null);
if (ok) return s;
// fill in any nulls
return new Section(s.getRanges(), shape);
}
/* public Section subsection(int startElement, int endElement) throws InvalidRangeException {
int[] shape = getShape();
Index index = Index.factory( shape);
index.setCurrentCounter(startElement);
int[] startShape = index.getCurrentCounter();
index.setCurrentCounter(endElement);
int[] endShape = index.getCurrentCounter();
Section result = new Section();
for (int i=0; i
* The sectionSpec string uses fortran90 array section syntax, namely:
*
* sectionSpec := dims
* dims := dim | dim, dims
* dim := ':' | slice | start ':' end | start ':' end ':' stride
* slice := INTEGER
* start := INTEGER
* stride := INTEGER
* end := INTEGER
*
* where nonterminals are in lower case, terminals are in upper case, literals are in single quotes.
*
* Meaning of index selector :
* ':' = all
* slice = hold index to that value
* start:end = all indices from start to end inclusive
* start:end:stride = all indices from start to end inclusive with given stride
*
*
*
* @param sectionSpec the token to parse, eg "(1:20,:,3,10:20:2)", parenthesis optional
* @throws InvalidRangeException when the Range is illegal
* @throws IllegalArgumentException when sectionSpec is misformed
*/
public Section(String sectionSpec) throws InvalidRangeException {
list = new ArrayList<>();
Range range;
StringTokenizer stoke = new StringTokenizer(sectionSpec, "(),");
while (stoke.hasMoreTokens()) {
String s = stoke.nextToken().trim();
if (s.equals(":"))
range = null; // all
else if (s.indexOf(':') < 0) { // just a number : slice
try {
int index = Integer.parseInt(s);
range = new Range(index, index);
} catch (NumberFormatException e) {
throw new IllegalArgumentException(" illegal selector: " + s + " part of <" + sectionSpec + ">");
}
} else { // gotta be "start : end" or "start : end : stride"
StringTokenizer stoke2 = new StringTokenizer(s, ":");
String s1 = stoke2.nextToken();
String s2 = stoke2.nextToken();
String s3 = stoke2.hasMoreTokens() ? stoke2.nextToken() : null;
try {
int index1 = Integer.parseInt(s1);
int index2 = Integer.parseInt(s2);
int stride = (s3 != null) ? Integer.parseInt(s3) : 1;
range = new Range(index1, index2, stride);
} catch (NumberFormatException e) {
throw new IllegalArgumentException(" illegal selector: " + s + " part of <" + sectionSpec + ">");
}
}
list.add(range);
}
}
/**
* Create a new Section by compacting each Range.
* first = first/stride, last=last/stride, stride=1.
*
* @return compacted Section
* @throws InvalidRangeException elements must be nonnegative, 0 <= first <= last
*/
public Section compact() throws InvalidRangeException {
List results = new ArrayList<>(getRank());
for (Range r : list) {
results.add(r.compact());
}
return new Section(results);
}
/**
* Create a new Section by compacting each Range.
* first = first/stride, last=last/stride, stride=1.
*
* @return compacted Section
* @throws InvalidRangeException elements must be nonnegative, 0 <= first <= last
*/
public Section removeVlen() throws InvalidRangeException {
boolean need = false;
for (Range r : list) {
if (r == Range.VLEN) need = true;
}
if (!need) return this;
List results = new ArrayList<>(getRank());
for (Range r : list) {
if (r != Range.VLEN) results.add(r);
}
return new Section(results);
}
/**
* Create a new Section by composing with a Section that is reletive to this Section.
*
* @param want Section reletive to this one. If null, return this. If individual ranges are null, use corresponding Range in this.
* @return new Section, composed
* @throws InvalidRangeException if want.getRank() not equal to this.getRank(), or invalid component Range
*/
public Section compose(Section want) throws InvalidRangeException {
// all nulls
if (want == null) return this; // LOOK maybe a copy ??
if (want.getRank() != getRank())
throw new InvalidRangeException("Invalid Section rank");
// check individual nulls
List results = new ArrayList<>(getRank());
for (int j = 0; j < list.size(); j++) {
Range base = list.get(j);
Range r = want.getRange(j);
if (r == null)
results.add(base);
else
results.add(base.compose(r));
}
return new Section(results);
}
/**
* Create a new Section by intersection with another Section
*
* @param other Section other section
* @return new Section, composed
* @throws InvalidRangeException if want.getRank() not equal to this.getRank(), or invalid component Range
*/
public Section intersect(Section other) throws InvalidRangeException {
if (!compatibleRank(other))
throw new InvalidRangeException("Invalid Section rank");
// check individual nulls
List results = new ArrayList<>(getRank());
for (int j = 0; j < list.size(); j++) {
Range base = list.get(j);
Range r = other.getRange(j);
results.add(base.intersect(r));
}
return new Section(results);
}
public int offset(Section intersect) throws InvalidRangeException {
if (!compatibleRank(intersect))
throw new InvalidRangeException("Invalid Section rank");
int result = 0;
int stride = 1;
for (int j = list.size() - 1; j >= 0; j--) {
Range base = list.get(j);
Range r = intersect.getRange(j);
int offset = base.index(r.first());
result += offset * stride;
stride *= base.length();
}
return result;
}
/**
* Create a new Section by union with another Section
*
* @param other Section other section
* @return new Section, union of the two
* @throws InvalidRangeException if want.getRank() not equal to this.getRank(), or invalid component Range
*/
public Section union(Section other) throws InvalidRangeException {
if (other.getRank() != getRank())
throw new InvalidRangeException("Invalid Section rank");
List results = new ArrayList<>(getRank());
for (int j = 0; j < list.size(); j++) {
Range base = list.get(j);
Range r = other.getRange(j);
results.add(base.union(r));
}
return new Section(results);
}
/**
* Create a new Section by shifting each range by newOrigin.first()
* The result is then a reletive offset from the newOrigin.
*
* @param newOrigin this becomes the origin of the result
* @return new Section, shifted
* @throws InvalidRangeException if want.getRank() not equal to this.getRank()
*/
public Section shiftOrigin(Section newOrigin) throws InvalidRangeException {
if (newOrigin.getRank() != getRank())
throw new InvalidRangeException("Invalid Section rank");
// check individual nulls
List results = new ArrayList<>(getRank());
for (int j = 0; j < list.size(); j++) {
Range base = list.get(j);
Range r = newOrigin.getRange(j);
results.add(base.shiftOrigin(r.first()));
}
return new Section(results);
}
/**
* See if this Section intersects with another Section. ignores strides
*
* @param other another section
* @return true if intersection is non-empty
* @throws InvalidRangeException if want.getRank() not equal to this.getRank(),
* ignoring vlen
*/
public boolean intersects(Section other) throws InvalidRangeException {
if (!compatibleRank(other))
throw new InvalidRangeException("Invalid Section rank");
for (int j = 0; j < list.size(); j++) {
Range base = list.get(j);
Range r = other.getRange(j);
if (base == Range.VLEN || r == Range.VLEN)
continue;
if (!base.intersects(r))
return false;
}
return true;
}
/**
* See if this Section contains another Section. ignores strides
* Must have same rank and last >= other.last.
*
* @param other another section
* @return true if its a subset
*/
public boolean contains(Section other) {
if (other.getRank() != getRank())
return false;
for (int j = 0; j < list.size(); j++) {
Range base = list.get(j);
Range r = other.getRange(j);
if (base.first() > r.first())
return false;
if (base.last() < r.last())
return false;
}
return true;
}
/**
* Convert List of Ranges to String Spec.
* Inverse of new Section(String sectionSpec)
*
* @return index section String specification
*/
public String toString() {
StringBuilder sbuff = new StringBuilder();
for (int i = 0; i < list.size(); i++) {
Range r = list.get(i);
if (i > 0) sbuff.append(",");
if (r == null)
sbuff.append(":");
else
sbuff.append(r.toString());
}
return sbuff.toString();
}
/**
* No-arg Constructor
*/
public Section() {
list = new ArrayList<>();
}
// these make it mutable
/**
* Append a null Range to the Section - meaning "all"
*
* @return this
*/
public Section appendRange() {
if (immutable) throw new IllegalStateException("Cant modify");
list.add(null);
return this;
}
/**
* Append a Range to the Section
*
* @return this
*/
public Section appendRange(Range r) {
if (immutable) throw new IllegalStateException("Cant modify");
list.add(r);
return this;
}
/**
* Append a new Range(0,size-1) to the Section
*
* @param size add this Range
* @return this
* @throws InvalidRangeException if size < 1
*/
public Section appendRange(int size) throws InvalidRangeException {
if (immutable) throw new IllegalStateException("Cant modify");
if (size > 0)
list.add(new Range(size));
else if (size == 0)
list.add(Range.EMPTY);
else
list.add(Range.VLEN);
return this;
}
/**
* Append a new Range(first, last) to the Section
*
* @param first starting index
* @param last last index, inclusive
* @return this
* @throws InvalidRangeException if last < first
*/
public Section appendRange(int first, int last) throws InvalidRangeException {
if (immutable) throw new IllegalStateException("Cant modify");
if (last < 0)
list.add(Range.VLEN);
else
list.add(new Range(first, last));
return this;
}
/**
* Append a new Range(first,last,stride) to the Section
*
* @param first starting index
* @param last last index, inclusive
* @param stride stride
* @return this
* @throws InvalidRangeException if last < first
*/
public Section appendRange(int first, int last, int stride) throws InvalidRangeException {
if (immutable) throw new IllegalStateException("Cant modify");
list.add(new Range(first, last, stride));
return this;
}
/**
* Append a new Range(name,first,last,stride) to the Section
*
* @param name name of Range
* @param first starting index
* @param last last index, inclusive
* @param stride stride
* @return this
* @throws InvalidRangeException if last < first
*/
public Section appendRange(String name, int first, int last, int stride) throws InvalidRangeException {
if (immutable) throw new IllegalStateException("Cant modify");
list.add(new Range(name, first, last, stride));
return this;
}
/**
* Insert a range at the specified index in the list.
*
* @param index insert here in the list, existing ranges at or after this index get shifted by one
* @param r insert this Range
* @return this
* @throws IndexOutOfBoundsException if bad index
*/
public Section insertRange(int index, Range r) {
if (immutable) throw new IllegalStateException("Cant modify");
list.add(index, r);
return this;
}
/**
* Remove a range at the specified index in the list.
*
* @param index remove here in the list, existing ranges after this index get shifted by one
* @return this
* @throws IndexOutOfBoundsException if bad index
*/
public Section removeRange(int index) {
if (immutable) throw new IllegalStateException("Cant modify");
list.remove(index);
return this;
}
/**
* Set the range at the specified index in the list, previous Range is discarded
*
* @param index list index, must be in interval [0,size).
* @param r insert this Range
* @return this
* @throws IndexOutOfBoundsException if bad index
*/
public Section setRange(int index, Range r) {
if (immutable) throw new IllegalStateException("Cant modify");
list.set(index, r);
return this;
}
/**
* Replace a range at the specified index in the list.
*
* @param index replace here in the list.
* @param r use this Range
* @return this
* @throws IndexOutOfBoundsException if bad index
*/
public Section replaceRange(int index, Range r) {
if (immutable) throw new IllegalStateException("Cant modify");
list.set(index, r);
return this;
}
/**
* Remove any ranges of length 1
*
* @return new Section if any Range had length 1, else this
*/
public Section reduce() {
if (immutable) throw new IllegalStateException("Cant modify");
boolean needed = false;
for (Range r : list) {
if (r.length() == 1) needed = true;
}
if (!needed) return this;
List newList = new ArrayList<>(list.size());
for (Range r : list) {
if (r.length() > 1)
newList.add(r);
}
return new Section(newList);
}
public Section subSection(int from, int endExclusive) {
return new Section(list.subList(from, endExclusive));
}
/**
* If any of the ranges are null, which means "all", set the Range from the
* corresponding length in shape[].
*
* @param shape default length for each Range; must have matching rank.
* @throws InvalidRangeException if rank is wrong
*/
public void setDefaults(int[] shape) throws InvalidRangeException {
if (immutable) throw new IllegalStateException("Cant modify");
if (shape.length != list.size())
throw new InvalidRangeException(" shape[] must have same rank as Section");
// check that any individual Range is null
for (int i = 0; i < shape.length; i++) {
Range r = list.get(i);
if (r == null) {
if (shape[i] > 0)
list.set(i, new Range(shape[i]));
else if (shape[i] == 0)
list.set(i, Range.EMPTY);
else {
list.set(i, Range.VLEN);
isvariablelength = true;
}
}
}
}
/**
* Makes the object immutable, so can be safely shared
*
* @return this Section
*/
public Section makeImmutable() {
if (immutable) return this;
immutable = true;
list = Collections.unmodifiableList(list);
return this;
}
// end mutable methods
public boolean isImmutable() {
return immutable;
}
public boolean isVariableLength() {
return isvariablelength;
}
public boolean isStrided() {
for (Range r : list) {
if (r != null && r.stride() != 1) return false;
}
return true;
}
/**
* Get shape array using the Range.length() values.
*
* @return int[] shape
*/
public int[] getShape() {
int[] result = new int[list.size()];
for (int i = 0; i < list.size(); i++) {
result[i] = list.get(i).length();
}
return result;
}
/**
* Get origin array using the Range.first() values.
*
* @return int[] origin
*/
public int[] getOrigin() {
int[] result = new int[list.size()];
for (int i = 0; i < list.size(); i++) {
result[i] = list.get(i).first();
}
return result;
}
/**
* Get stride array using the Range.stride() values.
*
* @return int[] origin
*/
public int[] getStride() {
int[] result = new int[list.size()];
for (int i = 0; i < list.size(); i++) {
result[i] = list.get(i).stride();
}
return result;
}
/**
* Get origin of the ith Range
*
* @param i index of Range
* @return origin of ith Range
*/
public int getOrigin(int i) {
return list.get(i).first();
}
/**
* Get length of the ith Range
*
* @param i index of Range
* @return length of ith Range
*/
public int getShape(int i) {
return list.get(i).length();
}
/**
* Get stride of the ith Range
*
* @param i index of Range
* @return stride of ith Range
*/
public int getStride(int i) {
return list.get(i).stride();
}
/**
* Get rank - number of Ranges.
*
* @return rank
*/
public int getRank() {
return list.size();
}
/**
* Get rank excluding vlens.
*
* @return rank
*/
public int getVlenRank() {
return list.size() - (isvariablelength ? 1 : 0);
}
/**
* Compare this section with another upto the vlen in either
*/
public boolean compatibleRank(Section other) {
return (getRank() == other.getRank());
/*if((isVariableLength() && other.isVariableLength())
|| (!isVariableLength() && !other.isVariableLength()))
return getRank() == other.getRank();
else if(isVariableLength() && !other.isVariableLength())
return getVlenRank() == other.getRank();
else // !isVariableLength() && other.isVariableLength()
return getRank() == other.getVlenRank(); */
}
/**
* Compute total number of elements represented by the section.
* Any VLEN Ranges are effectively skipped.
*
* @return total number of elements
*/
public long computeSize() {
long product = 1;
for (Range r : list) {
if (r != Range.VLEN)
product *= r.length();
}
return product;
}
/**
* Get the list of Ranges.
*
* @return the List
*/
public List getRanges() {
return list;
}
/**
* Get the ith Range
*
* @param i index into the list of Ranges
* @return ith Range
*/
public Range getRange(int i) {
return list.get(i);
}
/**
* Find a Range by its name.
*
* @param rangeName find this Range
* @return named Range or null
*/
public Range find(String rangeName) {
for (Range r : list) {
if (rangeName.equals(r.getName())) return r;
}
return null;
}
public Section addRangeNames(List rangeNames) throws InvalidRangeException {
if (rangeNames.size() != getRank())
throw new InvalidRangeException("Invalid number of Range Names");
int count = 0;
Section result = new Section();
for (Range r : getRanges()) {
Range nr = new Range(rangeNames.get(count++), r);
result.appendRange(nr);
}
return result;
}
/**
* Check if this Section is legal for the given shape.
* [Note: modified by dmh to address the case of unlimited
* where the size is zero]
*
* @param shape range must fit within this shape, rank must match.
* @return error message if illegal, null if all ok
*/
public String checkInRange(int shape[]) {
if (list.size() != shape.length)
return "Number of ranges in section (" + list.size() + ") must be = " + shape.length;
for (int i = 0; i < list.size(); i++) {
Range r = list.get(i);
if (r == null) continue;
if (r == Range.VLEN) continue;
if (r.last() >= shape[i])
return "Illegal Range for dimension " + i + ": last requested " + r.last() + " > max " + (shape[i] - 1);
}
return null;
}
/**
* Is this section equivilent to the given shape.
* All non-null ranges must have origin 0 and length = shape[i]
*
* @param shape the given shape.
* @return true if equivilent
* @throws InvalidRangeException if setion rank doesnt match shape length
*/
public boolean equivalent(int[] shape) throws InvalidRangeException {
if (getRank() != shape.length)
throw new InvalidRangeException("Invalid Section rank");
for (int i = 0; i < list.size(); i++) {
Range r = list.get(i);
if (r == null) continue;
if (r.first() != 0) return false;
if (r.length() != shape[i]) return false;
}
return true;
}
/**
* Sections with equals Ranges are equal.
*/
public boolean equals(Object o) {
if (this == o) return true;
if (!(o instanceof Section)) return false;
Section os = (Section) o;
if (getRank() != os.getRank()) return false;
for (int i = 0; i < getRank(); i++) {
Range r = getRange(i);
Range or = os.getRange(i);
if ((r == null) && (or != null)) return false;
if ((or == null) && (r != null)) return false;
if (r == null) continue; // then or is also null
if (!r.equals(or)) return false;
}
return true;
}
/**
* Override Object.hashCode() to agree with equals.
*/
public int hashCode() {
int result = 17;
for (Range r : list)
if (r != null) result += 37 * result + r.hashCode();
return result;
}
/**
* Iterate over a section, returning the index in an equivilant 1D array of shape[]
* So this is a section in a larger array of shape
*
* @param shape total array shape
* @return iterator over this section
*/
public Iterator getIterator(int[] shape) {
return new Iterator(shape);
}
public class Iterator {
private int[] odo = new int[getRank()];
private int[] stride = new int[getRank()];
private long done, total;
Iterator(int[] shape) {
int ss = 1;
for (int i = getRank() - 1; i >= 0; i--) {
odo[i] = getRange(i).first();
stride[i] = ss;
ss *= shape[i];
}
done = 0;
total = Index.computeSize(getShape()); // total in the section
}
/**
* Return true if there are more elements
*
* @return true if there are more elements
*/
public boolean hasNext() {
return done < total;
}
/**
* Get the position in the equivilant 1D array of shape[]
*
* @param index if not null, return the current nD index
* @return the position in a 1D array
*/
public int next(int[] index) {
int next = currentElement();
if (index != null)
System.arraycopy(odo, 0, index, 0, odo.length);
done++;
if (done < total) incr(); // increment for next call
return next;
}
/**
* Get the current index in the result array, ie in this section
*
* @return result index
*/
public int getResultIndex() {
return (int) done - 1;
}
private void incr() {
int digit = getRank() - 1;
while (digit >= 0) {
Range r = getRange(digit);
odo[digit] += r.stride();
if (odo[digit] <= r.last())
break; // normal exit
odo[digit] = r.first(); // else, carry
digit--;
assert digit >= 0; // catch screw-ups
}
}
private int currentElement() {
int value = 0;
for (int ii = 0; ii < getRank(); ii++)
value += odo[ii] * stride[ii];
return value;
}
}
}
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