/* * Jalview - A Sequence Alignment Editor and Viewer ($$Version-Rel$$) * Copyright (C) $$Year-Rel$$ The Jalview Authors * * This file is part of Jalview. * * Jalview is free software: you can redistribute it and/or * modify it under the terms of the GNU General Public License * as published by the Free Software Foundation, either version 3 * of the License, or (at your option) any later version. * * Jalview 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 Jalview. If not, see . * The Jalview Authors are detailed in the 'AUTHORS' file. */ package jalview.util; import java.util.ArrayList; import java.util.Arrays; import java.util.BitSet; import java.util.List; import jalview.bin.Console; /** * A simple way of bijectively mapping a non-contiguous linear range to another * non-contiguous linear range. * * Use at your own risk! * * TODO: test/ensure that sense of from and to ratio start position is conserved * (codon start position recovery) */ public class MapList { /* * Subregions (base 1) described as { [start1, end1], [start2, end2], ...} */ private List fromShifts; /* * Same format as fromShifts, for the 'mapped to' sequence */ private List toShifts; /* * number of steps in fromShifts to one toRatio unit */ private int fromRatio; /* * number of steps in toShifts to one fromRatio */ private int toRatio; /* * lowest and highest value in the from Map */ private int fromLowest; private int fromHighest; /* * lowest and highest value in the to Map */ private int toLowest; private int toHighest; /** * Constructor */ public MapList() { fromShifts = new ArrayList<>(); toShifts = new ArrayList<>(); } /** * Two MapList objects are equal if they are the same object, or they both * have populated shift ranges and all values are the same. */ @Override public boolean equals(Object o) { if (o == null || !(o instanceof MapList)) { return false; } MapList obj = (MapList) o; if (obj == this) { return true; } if (obj.fromRatio != fromRatio || obj.toRatio != toRatio || obj.fromShifts == null || obj.toShifts == null) { return false; } return Arrays.deepEquals(fromShifts.toArray(), obj.fromShifts.toArray()) && Arrays.deepEquals(toShifts.toArray(), obj.toShifts.toArray()); } /** * Returns a hashcode made from the fromRatio, toRatio, and from/to ranges */ @Override public int hashCode() { int hashCode = 31 * fromRatio; hashCode = 31 * hashCode + toRatio; for (int[] shift : fromShifts) { hashCode = 31 * hashCode + shift[0]; hashCode = 31 * hashCode + shift[1]; } for (int[] shift : toShifts) { hashCode = 31 * hashCode + shift[0]; hashCode = 31 * hashCode + shift[1]; } return hashCode; } /** * Returns the 'from' ranges as {[start1, end1], [start2, end2], ...} * * @return */ public List getFromRanges() { return fromShifts; } /** * Returns the 'to' ranges as {[start1, end1], [start2, end2], ...} * * @return */ public List getToRanges() { return toShifts; } /** * Flattens a list of [start, end] into a single [start1, end1, start2, * end2,...] array. * * @param shifts * @return */ protected static int[] getRanges(List shifts) { int[] rnges = new int[2 * shifts.size()]; int i = 0; for (int[] r : shifts) { rnges[i++] = r[0]; rnges[i++] = r[1]; } return rnges; } /** * * @return length of mapped phrase in from */ public int getFromRatio() { return fromRatio; } /** * * @return length of mapped phrase in to */ public int getToRatio() { return toRatio; } public int getFromLowest() { return fromLowest; } public int getFromHighest() { return fromHighest; } public int getToLowest() { return toLowest; } public int getToHighest() { return toHighest; } /** * Constructor given from and to ranges as [start1, end1, start2, end2,...]. * There is no validation check that the ranges do not overlap each other. * * @param from * contiguous regions as [start1, end1, start2, end2, ...] * @param to * same format as 'from' * @param fromRatio * phrase length in 'from' (e.g. 3 for dna) * @param toRatio * phrase length in 'to' (e.g. 1 for protein) */ public MapList(int from[], int to[], int fromRatio, int toRatio) { this(); this.fromRatio = fromRatio; this.toRatio = toRatio; fromLowest = Integer.MAX_VALUE; fromHighest = Integer.MIN_VALUE; for (int i = 0; i < from.length; i += 2) { /* * note lowest and highest values - bearing in mind the * direction may be reversed */ fromLowest = Math.min(fromLowest, Math.min(from[i], from[i + 1])); fromHighest = Math.max(fromHighest, Math.max(from[i], from[i + 1])); fromShifts.add(new int[] { from[i], from[i + 1] }); } toLowest = Integer.MAX_VALUE; toHighest = Integer.MIN_VALUE; for (int i = 0; i < to.length; i += 2) { toLowest = Math.min(toLowest, Math.min(to[i], to[i + 1])); toHighest = Math.max(toHighest, Math.max(to[i], to[i + 1])); toShifts.add(new int[] { to[i], to[i + 1] }); } } /** * Copy constructor. Creates an identical mapping. * * @param map */ public MapList(MapList map) { this(); // TODO not used - remove? this.fromLowest = map.fromLowest; this.fromHighest = map.fromHighest; this.toLowest = map.toLowest; this.toHighest = map.toHighest; this.fromRatio = map.fromRatio; this.toRatio = map.toRatio; if (map.fromShifts != null) { for (int[] r : map.fromShifts) { fromShifts.add(new int[] { r[0], r[1] }); } } if (map.toShifts != null) { for (int[] r : map.toShifts) { toShifts.add(new int[] { r[0], r[1] }); } } } /** * Constructor given ranges as lists of [start, end] positions. There is no * validation check that the ranges do not overlap each other. * * @param fromRange * @param toRange * @param fromRatio * @param toRatio */ public MapList(List fromRange, List toRange, int fromRatio, int toRatio) { this(); fromRange = coalesceRanges(fromRange); toRange = coalesceRanges(toRange); this.fromShifts = fromRange; this.toShifts = toRange; this.fromRatio = fromRatio; this.toRatio = toRatio; fromLowest = Integer.MAX_VALUE; fromHighest = Integer.MIN_VALUE; for (int[] range : fromRange) { if (range.length != 2) { // throw new IllegalArgumentException(range); Console.error("Invalid format for fromRange " + Arrays.toString(range) + " may cause errors"); } fromLowest = Math.min(fromLowest, Math.min(range[0], range[1])); fromHighest = Math.max(fromHighest, Math.max(range[0], range[1])); } toLowest = Integer.MAX_VALUE; toHighest = Integer.MIN_VALUE; for (int[] range : toRange) { if (range.length != 2) { // throw new IllegalArgumentException(range); Console.error("Invalid format for toRange " + Arrays.toString(range) + " may cause errors"); } toLowest = Math.min(toLowest, Math.min(range[0], range[1])); toHighest = Math.max(toHighest, Math.max(range[0], range[1])); } } /** * Consolidates a list of ranges so that any contiguous ranges are merged. * This assumes the ranges are already in start order (does not sort them). *

* The main use case for this method is when mapping cDNA sequence to its * protein product, based on CDS feature ranges which derive from spliced * exons, but are contiguous on the cDNA sequence. For example * *

   *   CDS 1-20  // from exon1
   *   CDS 21-35 // from exon2
   *   CDS 36-71 // from exon3
   * 'coalesce' to range 1-71
   * 
* * @param ranges * @return the same list (if unchanged), else a new merged list, leaving the * input list unchanged */ public static List coalesceRanges(final List ranges) { if (ranges == null || ranges.size() < 2) { return ranges; } boolean changed = false; List merged = new ArrayList<>(); int[] lastRange = ranges.get(0); int lastDirection = lastRange[1] >= lastRange[0] ? 1 : -1; lastRange = new int[] { lastRange[0], lastRange[1] }; merged.add(lastRange); boolean first = true; for (final int[] range : ranges) { if (first) { first = false; continue; } int direction = range[1] >= range[0] ? 1 : -1; /* * if next range is in the same direction as last and contiguous, * just update the end position of the last range */ boolean sameDirection = range[1] == range[0] || direction == lastDirection; boolean extending = range[0] == lastRange[1] + lastDirection; if (sameDirection && extending) { lastRange[1] = range[1]; changed = true; } else { lastRange = new int[] { range[0], range[1] }; merged.add(lastRange); // careful: merging [5, 5] after [7, 6] should keep negative direction lastDirection = (range[1] == range[0]) ? lastDirection : direction; } } return changed ? merged : ranges; } /** * get all mapped positions from 'from' to 'to' * * @return int[][] { int[] { fromStart, fromFinish, toStart, toFinish }, int * [fromFinish-fromStart+2] { toStart..toFinish mappings}} */ protected int[][] makeFromMap() { // TODO only used for test - remove?? return posMap(fromShifts, fromRatio, toShifts, toRatio); } /** * get all mapped positions from 'to' to 'from' * * @return int[to position]=position mapped in from */ protected int[][] makeToMap() { // TODO only used for test - remove?? return posMap(toShifts, toRatio, fromShifts, fromRatio); } /** * construct an int map for intervals in intVals * * @param shiftTo * @return int[] { from, to pos in range }, int[range.to-range.from+1] * returning mapped position */ private int[][] posMap(List shiftTo, int sourceRatio, List shiftFrom, int targetRatio) { // TODO only used for test - remove?? int iv = 0, ivSize = shiftTo.size(); if (iv >= ivSize) { return null; } int[] intv = shiftTo.get(iv++); int from = intv[0], to = intv[1]; if (from > to) { from = intv[1]; to = intv[0]; } while (iv < ivSize) { intv = shiftTo.get(iv++); if (intv[0] < from) { from = intv[0]; } if (intv[1] < from) { from = intv[1]; } if (intv[0] > to) { to = intv[0]; } if (intv[1] > to) { to = intv[1]; } } int tF = 0, tT = 0; int mp[][] = new int[to - from + 2][]; for (int i = 0; i < mp.length; i++) { int[] m = shift(i + from, shiftTo, sourceRatio, shiftFrom, targetRatio); if (m != null) { if (i == 0) { tF = tT = m[0]; } else { if (m[0] < tF) { tF = m[0]; } if (m[0] > tT) { tT = m[0]; } } } mp[i] = m; } int[][] map = new int[][] { new int[] { from, to, tF, tT }, new int[to - from + 2] }; map[0][2] = tF; map[0][3] = tT; for (int i = 0; i < mp.length; i++) { if (mp[i] != null) { map[1][i] = mp[i][0] - tF; } else { map[1][i] = -1; // indicates an out of range mapping } } return map; } /** * addShift * * @param pos * start position for shift (in original reference frame) * @param shift * length of shift * * public void addShift(int pos, int shift) { int sidx = 0; int[] * rshift=null; while (sidx shiftTo, int fromRatio, List shiftFrom, int toRatio) { // TODO: javadoc; tests int[] fromCount = countPositions(shiftTo, pos); if (fromCount == null) { return null; } int fromRemainder = (fromCount[0] - 1) % fromRatio; int toCount = 1 + (((fromCount[0] - 1) / fromRatio) * toRatio); int[] toPos = traverseToPosition(shiftFrom, toCount); if (toPos == null) { return null; } return new int[] { toPos[0], fromRemainder, toPos[1] }; } /** * Counts how many positions pos is along the series of intervals. Returns an * array of two values: *
    *
  • the number of positions traversed (inclusive) to reach {@code pos}
  • *
  • +1 if the last interval traversed is forward, -1 if in a negative * direction
  • *
* Returns null if {@code pos} does not lie in any of the given intervals. * * @param intervals * a list of start-end intervals * @param pos * a position that may lie in one (or more) of the intervals * @return */ protected static int[] countPositions(List intervals, int pos) { int count = 0; int iv = 0; int ivSize = intervals.size(); while (iv < ivSize) { int[] intv = intervals.get(iv++); if (intv[0] <= intv[1]) { /* * forwards interval */ if (pos >= intv[0] && pos <= intv[1]) { return new int[] { count + pos - intv[0] + 1, +1 }; } else { count += intv[1] - intv[0] + 1; } } else { /* * reverse interval */ if (pos >= intv[1] && pos <= intv[0]) { return new int[] { count + intv[0] - pos + 1, -1 }; } else { count += intv[0] - intv[1] + 1; } } } return null; } /** * Reads through the given intervals until {@code count} positions have been * traversed, and returns an array consisting of two values: *
    *
  • the value at the {@code count'th} position
  • *
  • +1 if the last interval read is forwards, -1 if reverse direction
  • *
* Returns null if the ranges include less than {@code count} positions, or if * {@code count < 1}. * * @param intervals * a list of [start, end] ranges * @param count * the number of positions to traverse * @return */ protected static int[] traverseToPosition(List intervals, final int count) { int traversed = 0; int ivSize = intervals.size(); int iv = 0; if (count < 1) { return null; } while (iv < ivSize) { int[] intv = intervals.get(iv++); int diff = intv[1] - intv[0]; if (diff >= 0) { if (count <= traversed + 1 + diff) { return new int[] { intv[0] + (count - traversed - 1), +1 }; } else { traversed += 1 + diff; } } else { if (count <= traversed + 1 - diff) { return new int[] { intv[0] - (count - traversed - 1), -1 }; } else { traversed += 1 - diff; } } } return null; } /** * like shift - except returns the intervals in the given vector of shifts * which were spanned in traversing fromStart to fromEnd * * @param shiftFrom * @param fromStart * @param fromEnd * @param fromRatio2 * @return series of from,to intervals from from first position of starting * region to final position of ending region inclusive */ protected static int[] getIntervals(List shiftFrom, int[] fromStart, int[] fromEnd, int fromRatio2) { if (fromStart == null || fromEnd == null) { return null; } int startpos, endpos; startpos = fromStart[0]; // first position in fromStart endpos = fromEnd[0]; // last position in fromEnd int endindx = (fromRatio2 - 1); // additional positions to get to last // position from endpos int intv = 0, intvSize = shiftFrom.size(); int iv[], i = 0, fs = -1, fe_s = -1, fe = -1; // containing intervals // search intervals to locate ones containing startpos and count endindx // positions on from endpos while (intv < intvSize && (fs == -1 || fe == -1)) { iv = shiftFrom.get(intv++); if (fe_s > -1) { endpos = iv[0]; // start counting from beginning of interval endindx--; // inclusive of endpos } if (iv[0] <= iv[1]) { if (fs == -1 && startpos >= iv[0] && startpos <= iv[1]) { fs = i; } if (endpos >= iv[0] && endpos <= iv[1]) { if (fe_s == -1) { fe_s = i; } if (fe_s != -1) { if (endpos + endindx <= iv[1]) { fe = i; endpos = endpos + endindx; // end of end token is within this // interval } else { endindx -= iv[1] - endpos; // skip all this interval too } } } } else { if (fs == -1 && startpos <= iv[0] && startpos >= iv[1]) { fs = i; } if (endpos <= iv[0] && endpos >= iv[1]) { if (fe_s == -1) { fe_s = i; } if (fe_s != -1) { if (endpos - endindx >= iv[1]) { fe = i; endpos = endpos - endindx; // end of end token is within this // interval } else { endindx -= endpos - iv[1]; // skip all this interval too } } } } i++; } if (fs == fe && fe == -1) { return null; } List ranges = new ArrayList<>(); if (fs <= fe) { intv = fs; i = fs; // truncate initial interval iv = shiftFrom.get(intv++); iv = new int[] { iv[0], iv[1] };// clone if (i == fs) { iv[0] = startpos; } while (i != fe) { ranges.add(iv); // add initial range iv = shiftFrom.get(intv++); // get next interval iv = new int[] { iv[0], iv[1] };// clone i++; } if (i == fe) { iv[1] = endpos; } ranges.add(iv); // add only - or final range } else { // walk from end of interval. i = shiftFrom.size() - 1; while (i > fs) { i--; } iv = shiftFrom.get(i); iv = new int[] { iv[1], iv[0] };// reverse and clone // truncate initial interval if (i == fs) { iv[0] = startpos; } while (--i != fe) { // fix apparent logic bug when fe==-1 ranges.add(iv); // add (truncated) reversed interval iv = shiftFrom.get(i); iv = new int[] { iv[1], iv[0] }; // reverse and clone } if (i == fe) { // interval is already reversed iv[1] = endpos; } ranges.add(iv); // add only - or final range } // create array of start end intervals. int[] range = null; if (ranges != null && ranges.size() > 0) { range = new int[ranges.size() * 2]; intv = 0; intvSize = ranges.size(); i = 0; while (intv < intvSize) { iv = ranges.get(intv); range[i++] = iv[0]; range[i++] = iv[1]; ranges.set(intv++, null); // remove } } return range; } /** * get the 'initial' position of mpos in To * * @param mpos * position in from * @return position of first word in to reference frame */ public int getToPosition(int mpos) { int[] mp = shiftTo(mpos); if (mp != null) { return mp[0]; } return mpos; } /** * * @return a MapList whose From range is this maplist's To Range, and vice * versa */ public MapList getInverse() { return new MapList(getToRanges(), getFromRanges(), getToRatio(), getFromRatio()); } /** * String representation - for debugging, not guaranteed not to change */ @Override public String toString() { StringBuilder sb = new StringBuilder(64); sb.append("["); for (int[] shift : fromShifts) { sb.append(" ").append(Arrays.toString(shift)); } sb.append(" ] "); sb.append(fromRatio).append(":").append(toRatio); sb.append(" to ["); for (int[] shift : toShifts) { sb.append(" ").append(Arrays.toString(shift)); } sb.append(" ]"); return sb.toString(); } /** * Extend this map list by adding the given map's ranges. There is no * validation check that the ranges do not overlap existing ranges (or each * other), but contiguous ranges are merged. * * @param map */ public void addMapList(MapList map) { if (this.equals(map)) { return; } this.fromLowest = Math.min(fromLowest, map.fromLowest); this.toLowest = Math.min(toLowest, map.toLowest); this.fromHighest = Math.max(fromHighest, map.fromHighest); this.toHighest = Math.max(toHighest, map.toHighest); for (int[] range : map.getFromRanges()) { addRange(range, fromShifts); } for (int[] range : map.getToRanges()) { addRange(range, toShifts); } } /** * Adds the given range to a list of ranges. If the new range just extends * existing ranges, the current endpoint is updated instead. * * @param range * @param addTo */ static void addRange(int[] range, List addTo) { /* * list is empty - add to it! */ if (addTo.size() == 0) { addTo.add(range); return; } int[] last = addTo.get(addTo.size() - 1); boolean lastForward = last[1] >= last[0]; boolean newForward = range[1] >= range[0]; /* * contiguous range in the same direction - just update endpoint */ if (lastForward == newForward && last[1] == range[0]) { last[1] = range[1]; return; } /* * next range starts at +1 in forward sense - update endpoint */ if (lastForward && newForward && range[0] == last[1] + 1) { last[1] = range[1]; return; } /* * next range starts at -1 in reverse sense - update endpoint */ if (!lastForward && !newForward && range[0] == last[1] - 1) { last[1] = range[1]; return; } /* * just add the new range */ addTo.add(range); } /** * Returns true if mapping is from forward strand, false if from reverse * strand. Result is just based on the first 'from' range that is not a single * position. Default is true unless proven to be false. Behaviour is not well * defined if the mapping has a mixture of forward and reverse ranges. * * @return */ public boolean isFromForwardStrand() { return isForwardStrand(getFromRanges()); } /** * Returns true if mapping is to forward strand, false if to reverse strand. * Result is just based on the first 'to' range that is not a single position. * Default is true unless proven to be false. Behaviour is not well defined if * the mapping has a mixture of forward and reverse ranges. * * @return */ public boolean isToForwardStrand() { return isForwardStrand(getToRanges()); } /** * A helper method that returns true unless at least one range has start > * end. Behaviour is undefined for a mixture of forward and reverse ranges. * * @param ranges * @return */ private boolean isForwardStrand(List ranges) { boolean forwardStrand = true; for (int[] range : ranges) { if (range[1] > range[0]) { break; // forward strand confirmed } else if (range[1] < range[0]) { forwardStrand = false; break; // reverse strand confirmed } } return forwardStrand; } /** * * @return true if from, or to is a three to 1 mapping */ public boolean isTripletMap() { return (toRatio == 3 && fromRatio == 1) || (fromRatio == 3 && toRatio == 1); } /** * Returns a map which is the composite of this one and the input map. That * is, the output map has the fromRanges of this map, and its toRanges are the * toRanges of this map as transformed by the input map. *

* Returns null if the mappings cannot be traversed (not all toRanges of this * map correspond to fromRanges of the input), or if this.toRatio does not * match map.fromRatio. * *

   * Example 1:
   *    this:   from [1-100] to [501-600]
   *    input:  from [10-40] to [60-90]
   *    output: from [10-40] to [560-590]
   * Example 2 ('reverse strand exons'):
   *    this:   from [1-100] to [2000-1951], [1000-951] // transcript to loci
   *    input:  from [1-50]  to [41-90] // CDS to transcript
   *    output: from [10-40] to [1960-1951], [1000-971] // CDS to gene loci
   * 
* * @param map * @return */ public MapList traverse(MapList map) { if (map == null) { return null; } /* * compound the ratios by this rule: * A:B with M:N gives A*M:B*N * reduced by greatest common divisor * so 1:3 with 3:3 is 3:9 or 1:3 * 1:3 with 3:1 is 3:3 or 1:1 * 1:3 with 1:3 is 1:9 * 2:5 with 3:7 is 6:35 */ int outFromRatio = getFromRatio() * map.getFromRatio(); int outToRatio = getToRatio() * map.getToRatio(); int gcd = MathUtils.gcd(outFromRatio, outToRatio); outFromRatio /= gcd; outToRatio /= gcd; List toRanges = new ArrayList<>(); for (int[] range : getToRanges()) { int fromLength = Math.abs(range[1] - range[0]) + 1; int[] transferred = map.locateInTo(range[0], range[1]); if (transferred == null || transferred.length % 2 != 0) { return null; } /* * convert [start1, end1, start2, end2, ...] * to [[start1, end1], [start2, end2], ...] */ int toLength = 0; for (int i = 0; i < transferred.length;) { toRanges.add(new int[] { transferred[i], transferred[i + 1] }); toLength += Math.abs(transferred[i + 1] - transferred[i]) + 1; i += 2; } /* * check we mapped the full range - if not, abort */ if (fromLength * map.getToRatio() != toLength * map.getFromRatio()) { return null; } } return new MapList(getFromRanges(), toRanges, outFromRatio, outToRatio); } /** * Answers true if the mapping is from one contiguous range to another, else * false * * @return */ public boolean isContiguous() { return fromShifts.size() == 1 && toShifts.size() == 1; } /** * <<<<<<< HEAD Returns the [start1, end1, start2, end2, ...] positions in the * 'from' range that map to positions between {@code start} and {@code end} in * the 'to' range. Note that for a reverse strand mapping this will return * ranges with end < start. Returns null if no mapped positions are found in * start-end. * * @param start * @param end * @return */ public int[] locateInFrom(int start, int end) { return mapPositions(start, end, toShifts, fromShifts, toRatio, fromRatio); } /** * Returns the [start1, end1, start2, end2, ...] positions in the 'to' range * that map to positions between {@code start} and {@code end} in the 'from' * range. Note that for a reverse strand mapping this will return ranges with * end < start. Returns null if no mapped positions are found in start-end. * * @param start * @param end * @return */ public int[] locateInTo(int start, int end) { return mapPositions(start, end, fromShifts, toShifts, fromRatio, toRatio); } /** * Helper method that returns the [start1, end1, start2, end2, ...] positions * in {@code targetRange} that map to positions between {@code start} and * {@code end} in {@code sourceRange}. Note that for a reverse strand mapping * this will return ranges with end < start. Returns null if no mapped * positions are found in start-end. * * @param start * @param end * @param sourceRange * @param targetRange * @param sourceWordLength * @param targetWordLength * @return */ final static int[] mapPositions(int start, int end, List sourceRange, List targetRange, int sourceWordLength, int targetWordLength) { if (end < start) { int tmp = end; end = start; start = tmp; } /* * traverse sourceRange and mark offsets in targetRange * of any positions that lie in [start, end] */ BitSet offsets = getMappedOffsetsForPositions(start, end, sourceRange, sourceWordLength, targetWordLength); /* * traverse targetRange and collect positions at the marked offsets */ List mapped = getPositionsForOffsets(targetRange, offsets); // TODO: or just return the List and adjust calling code to match return mapped.isEmpty() ? null : MappingUtils.rangeListToArray(mapped); } /** * Scans the list of {@code ranges} for any values (positions) that lie * between start and end (inclusive), and records the offsets from * the start of the list as a BitSet. The offset positions are converted to * corresponding words in blocks of {@code wordLength2}. * *
   * For example:
   * 1:1 (e.g. gene to CDS):
   * ranges { [10-20], [31-40] }, wordLengthFrom = wordLength 2 = 1
   *   for start = 1, end = 9, returns a BitSet with no bits set
   *   for start = 1, end = 11, returns a BitSet with bits 0-1 set
   *   for start = 15, end = 35, returns a BitSet with bits 5-15 set
   * 1:3 (peptide to codon):
   * ranges { [1-200] }, wordLengthFrom = 1, wordLength 2 = 3
   *   for start = 9, end = 9, returns a BitSet with bits 24-26 set
   * 3:1 (codon to peptide):
   * ranges { [101-150], [171-180] }, wordLengthFrom = 3, wordLength 2 = 1
   *   for start = 101, end = 102 (partial first codon), returns a BitSet with bit 0 set
   *   for start = 150, end = 171 (partial 17th codon), returns a BitSet with bit 16 set
   * 3:1 (circular DNA to peptide):
   * ranges { [101-150], [21-30] }, wordLengthFrom = 3, wordLength 2 = 1
   *   for start = 24, end = 40 (spans codons 18-20), returns a BitSet with bits 17-19 set
   * 
* * @param start * @param end * @param sourceRange * @param sourceWordLength * @param targetWordLength * @return */ protected final static BitSet getMappedOffsetsForPositions(int start, int end, List sourceRange, int sourceWordLength, int targetWordLength) { BitSet overlaps = new BitSet(); int offset = 0; final int s1 = sourceRange.size(); for (int i = 0; i < s1; i++) { int[] range = sourceRange.get(i); final int offset1 = offset; int overlapStartOffset = -1; int overlapEndOffset = -1; if (range[1] >= range[0]) { /* * forward direction range */ if (start <= range[1] && end >= range[0]) { /* * overlap */ int overlapStart = Math.max(start, range[0]); overlapStartOffset = offset1 + overlapStart - range[0]; int overlapEnd = Math.min(end, range[1]); overlapEndOffset = offset1 + overlapEnd - range[0]; } } else { /* * reverse direction range */ if (start <= range[0] && end >= range[1]) { /* * overlap */ int overlapStart = Math.max(start, range[1]); int overlapEnd = Math.min(end, range[0]); overlapStartOffset = offset1 + range[0] - overlapEnd; overlapEndOffset = offset1 + range[0] - overlapStart; } } if (overlapStartOffset > -1) { /* * found an overlap */ if (sourceWordLength != targetWordLength) { /* * convert any overlap found to whole words in the target range * (e.g. treat any partial codon overlap as if the whole codon) */ overlapStartOffset -= overlapStartOffset % sourceWordLength; overlapStartOffset = overlapStartOffset / sourceWordLength * targetWordLength; /* * similar calculation for range end, adding * (wordLength2 - 1) for end of mapped word */ overlapEndOffset -= overlapEndOffset % sourceWordLength; overlapEndOffset = overlapEndOffset / sourceWordLength * targetWordLength; overlapEndOffset += targetWordLength - 1; } overlaps.set(overlapStartOffset, overlapEndOffset + 1); } offset += 1 + Math.abs(range[1] - range[0]); } return overlaps; } /** * Returns a (possibly empty) list of the [start-end] values (positions) at * offsets in the {@code targetRange} list that are marked by 'on' bits in the * {@code offsets} bitset. * * @param targetRange * @param offsets * @return */ protected final static List getPositionsForOffsets( List targetRange, BitSet offsets) { List mapped = new ArrayList<>(); if (offsets.isEmpty()) { return mapped; } /* * count of positions preceding ranges[i] */ int traversed = 0; /* * for each [from-to] range in ranges: * - find subranges (if any) at marked offsets * - add the start-end values at the marked positions */ final int toAdd = offsets.cardinality(); int added = 0; final int s2 = targetRange.size(); for (int i = 0; added < toAdd && i < s2; i++) { int[] range = targetRange.get(i); added += addOffsetPositions(mapped, traversed, range, offsets); traversed += Math.abs(range[1] - range[0]) + 1; } return mapped; } /** * Helper method that adds any start-end subranges of {@code range} that are * at offsets in {@code range} marked by set bits in overlaps. * {@code mapOffset} is added to {@code range} offset positions. Returns the * count of positions added. * * @param mapped * @param mapOffset * @param range * @param overlaps * @return */ final static int addOffsetPositions(List mapped, final int mapOffset, final int[] range, final BitSet overlaps) { final int rangeLength = 1 + Math.abs(range[1] - range[0]); final int step = range[1] < range[0] ? -1 : 1; int offsetStart = 0; // offset into range int added = 0; while (offsetStart < rangeLength) { /* * find the start of the next marked overlap offset; * if there is none, or it is beyond range, then finished */ int overlapStart = overlaps.nextSetBit(mapOffset + offsetStart); if (overlapStart == -1 || overlapStart - mapOffset >= rangeLength) { /* * no more overlaps, or no more within range[] */ return added; } overlapStart -= mapOffset; /* * end of the overlap range is just before the next clear bit; * restrict it to end of range if necessary; * note we may add a reverse strand range here (end < start) */ int overlapEnd = overlaps.nextClearBit(mapOffset + overlapStart + 1); overlapEnd = (overlapEnd == -1) ? rangeLength - 1 : Math.min(rangeLength - 1, overlapEnd - mapOffset - 1); int startPosition = range[0] + step * overlapStart; int endPosition = range[0] + step * overlapEnd; mapped.add(new int[] { startPosition, endPosition }); offsetStart = overlapEnd + 1; added += Math.abs(endPosition - startPosition) + 1; } return added; } /* * Returns the [start, end...] positions in the range mapped from, that are * mapped to by part or all of the given begin-end of the range mapped to. * Returns null if begin-end does not overlap any position mapped to. * * @param begin * @param end * @return */ public int[] getOverlapsInFrom(final int begin, final int end) { int[] overlaps = MappingUtils.findOverlap(toShifts, begin, end); return overlaps == null ? null : locateInFrom(overlaps[0], overlaps[1]); } /** * Returns the [start, end...] positions in the range mapped to, that are * mapped to by part or all of the given begin-end of the range mapped from. * Returns null if begin-end does not overlap any position mapped from. * * @param begin * @param end * @return */ public int[] getOverlapsInTo(final int begin, final int end) { int[] overlaps = MappingUtils.findOverlap(fromShifts, begin, end); return overlaps == null ? null : locateInTo(overlaps[0], overlaps[1]); } }