1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243
|
package align2;
import java.util.Arrays;
public class Solver {
public static final long bruteForce(int[] offsets, int[] lengths, int chunk, int minLists, int maxTotalLength){
int bits=offsets.length;
int max=(1<<bits)-1;
for(long i=0; i<=max; i++){
long x=evaluate(offsets, lengths, chunk, i);
}
assert(false);
return 0;
}
public static final void findWorstGreedy(final int[] offsets, final int[] lengths,
final int chunk, final int[] lists, int[] r){
assert(r!=null && r.length==2);
long min=Long.MAX_VALUE;
int worstIndex=-1;
for(int i=0; i<lists.length; i++){
long value=valueOfElement(offsets, lengths, 1f, chunk, lists, i);
if(value<min){
if(min<EARLY_TERMINATION_SCORE){//Can speed up greedy algo
r[0]=i;
r[1]=(value<Integer.MIN_VALUE ? Integer.MIN_VALUE : value>Integer.MAX_VALUE ? Integer.MAX_VALUE : (int)value);
return;
}
min=value;
worstIndex=i;
}
}
// if(min>0){worstIndex=-1;}
r[0]=worstIndex;
r[1]=(min<Integer.MIN_VALUE ? Integer.MIN_VALUE : min>Integer.MAX_VALUE ? Integer.MAX_VALUE : (int)min);
}
public static final void findWorstGreedy(final int[] offsets, final int[] lengths,
final float[] weights, final int chunk, final int[] lists, int[] r){
assert(r!=null && r.length==2);
long min=Long.MAX_VALUE;
int worstIndex=-1;
for(int i=0; i<lists.length; i++){
// for(int i=lists.length-1; i>=0; i--){
long value=valueOfElement(offsets, lengths, weights[i], chunk, lists, i);
if(value<min){
if(min<EARLY_TERMINATION_SCORE && i!=0){//Can speed up greedy algo
r[0]=i;
r[1]=(value<Integer.MIN_VALUE ? Integer.MIN_VALUE : value>Integer.MAX_VALUE ? Integer.MAX_VALUE : (int)value);
// System.out.print(".");
return;
}
min=value;
worstIndex=i;
}
}
// if(min>0){worstIndex=-1;}
r[0]=worstIndex;
r[1]=(min<Integer.MIN_VALUE ? Integer.MIN_VALUE : min>Integer.MAX_VALUE ? Integer.MAX_VALUE : (int)min);
}
public static long valueOfElement(final int[] offsets, final int[] lengths, float keyWeight,
final int chunk, final int[] lists, int index){
final int numlists=lists.length;
if(numlists<1){return 0;}
final int prospect=lists[index];
if(lengths[prospect]==0){return -999999;}
long valuep=POINTS_PER_LIST+(POINTS_PER_LIST*2/lists.length)+((POINTS_PER_LIST*10)/lengths[prospect]);
long valuem=POINTS_PER_SITE*lengths[prospect];
if(prospect==0 || (prospect==offsets.length-1)){
valuep+=BONUS_POINTS_FOR_END_LIST;
}
if(numlists==1){
valuep+=(POINTS_FOR_TOTAL_LIST_WIDTH+POINTS_PER_BASE1)*chunk;
return ((long)(valuep*keyWeight))+valuem;
}
final int first=lists[0];
final int last=lists[numlists-1];
//Offsets of elements to the left and right of the prospect
// final int offL=(prospect==first ? - : offsets[lists[index-1]]);
// final int offP=offsets[prospect];
// final int offR=(prospect==last ? offsets[offsets.length-1] : offsets[lists[index+1]]);
// assert(offL<=offP);
// assert(offP<=offR);
// assert(offL<offR) : "\noffsets.length="+offsets.length+", lengths.length="+lengths.length+"\n"+
// ", chunk="+chunk+", lists.length="+lists.length+", index="+index+"\n"+
// ", offL="+offL+", offR="+offR+", prospect="+prospect+", first="+first+", last="+last+"\n"+
// ", valuep="+valuep+", valuem="+valuem+", weight="+keyWeight+"\n"+
// "offsets = "+Arrays.toString(offsets)+"\tlengths = "+Arrays.toString(lengths)+"\nlists = "+Arrays.toString(lists)+"\n";
final int offL=(prospect==first ? -1 : offsets[lists[index-1]]);
final int offP=offsets[prospect];
final int offR=(prospect==last ? offsets[offsets.length-1]+1 : offsets[lists[index+1]]);
assert(offL<=offP);
assert(offP<=offR);
assert(offL<offR) : "\noffsets.length="+offsets.length+", lengths.length="+lengths.length+"\n"+
", chunk="+chunk+", lists.length="+lists.length+", index="+index+"\n"+
", offL="+offL+", offR="+offR+", prospect="+prospect+", first="+first+", last="+last+"\n"+
", valuep="+valuep+", valuem="+valuem+", weight="+keyWeight+"\n"+
"offsets = "+Arrays.toString(offsets)+"\tlengths = "+Arrays.toString(lengths)+"\nlists = "+Arrays.toString(lists)+"\n";
int oldLeftSpace=offP-offL;
int oldRightSpace=offR-offP;
int newSpace=offR-offL;
// int oldLeftSpace=Tools.max((offP-offL)-1, 0)+1;
// int oldRightSpace=Tools.max((offR-offP)-1, 0)+1;
// int newSpace=Tools.max(offR-offL;
long spaceScore=((oldLeftSpace*oldLeftSpace+oldRightSpace*oldRightSpace)-(newSpace*newSpace))*MULT_FOR_SPACING_PENALTY;
assert(spaceScore>0) : "\n"+spaceScore+", "+oldLeftSpace+", "+oldRightSpace+", "+newSpace+"\n"+
Arrays.toString(offsets)+"\nprospect="+prospect+"\n";
valuep+=spaceScore;
int uniquelyCovered;
if(prospect==first){
uniquelyCovered=offR-offP; //Technically, -1 should be added
}else if(prospect==last){
uniquelyCovered=offP-offL; //Technically, -1 should be added
}else{
int a=offL+chunk;
int b=offR-a;
uniquelyCovered=(b>0 ? b : 0);
}
if(prospect==first || prospect==last){
valuep+=(POINTS_PER_BASE1+POINTS_FOR_TOTAL_LIST_WIDTH)*uniquelyCovered;
}else{
valuep+=POINTS_PER_BASE1*uniquelyCovered;
}
return ((long)(valuep*keyWeight))+valuem;
}
public static int[] toBitList(final int key){
final int numlists=Integer.bitCount(key);
final int[] lists=new int[numlists];
for(int i=0, ptr=0; ptr<numlists; i++){
if((masks32[i]&key)!=0){
lists[ptr]=i;
ptr++;
}
}
return lists;
}
public static int[] toBitList(final long key){
final int numlists=Long.bitCount(key);
assert(numlists>0);
final int[] lists=new int[numlists];
for(int i=0, ptr=0; ptr<numlists; i++){
if((masks[i]&key)!=0){
lists[ptr]=i;
ptr++;
}
}
return lists;
}
public static long evaluate(int[] offsets, int[] lengths, final int chunk, final long key){
long score=0;
final int[] lists=toBitList(key);
final int numlists=lists.length;
final int first=lists[0];
final int last=lists[numlists-1];
score+=numlists*POINTS_PER_LIST;
for(int i=0; i<numlists; i++){
int list=lists[i];
score+=POINTS_PER_SITE*lengths[list];
}
if(first==0){score+=BONUS_POINTS_FOR_END_LIST;}
if(last==offsets.length-1){score+=BONUS_POINTS_FOR_END_LIST;}
score+=(POINTS_FOR_TOTAL_LIST_WIDTH*(offsets[last]-offsets[first]+chunk));
//TODO: Special case both ends
for(int i=1; i<numlists; i++){
int list1=lists[i-1];
int list2=lists[i];
int space=offsets[list2]-offsets[list1];
int uncovered=space>chunk ? space-chunk : 0;
score+=MULT_FOR_SPACING_PENALTY*(space*space);
score-=POINTS_PER_BASE1*uncovered;
}
if(first>0){
long x=offsets[first];
score+=MULT_FOR_SPACING_PENALTY*(x*x);
score-=POINTS_PER_BASE1*x;
}
if(last<(offsets.length-1)){
long x=offsets[offsets.length-1]-offsets[last];
score+=MULT_FOR_SPACING_PENALTY*(x*x);
score-=POINTS_PER_BASE1*x;
}
return score;
}
public static final int BASE_POINTS_PER_SITE=-50; //Used to set POINTS_PER_SITE
public static long POINTS_PER_SITE=-50; //TODO: Make private with a get() and set() function
public static final long MULT_FOR_SPACING_PENALTY=-30;
public static long EARLY_TERMINATION_SCORE=(POINTS_PER_SITE*2000); //TODO: Should be set dynamically
public static final long POINTS_PER_LIST=30000;
public static final long POINTS_PER_BASE1=6000; //Points for a base covered once
public static final long POINTS_PER_BASE2=1000;//POINTS_PER_BASE1/4; //Points for a base covered twice
public static final long BONUS_POINTS_FOR_END_LIST=40000; //Extra points for the first and last list
public static final long POINTS_FOR_TOTAL_LIST_WIDTH=5500; //multiplier for distance between first and last list
public static final long[] masks=new long[64];
public static final int[] masks32=new int[32];
static{
for(int i=0; i<masks.length; i++){masks[i]=(1L<<i);}
for(int i=0; i<masks32.length; i++){masks32[i]=(1<<i);}
}
}
|