Intermediate optimization checkin. LinearExact model now about 10-20% faster than previous commit, by reorganizing and optimizing the if statements and genotype likelihood calculations. Next commit will include a banded implementation.
git-svn-id: file:///humgen/gsa-scr1/gsa-engineering/svn_contents/trunk@5362 348d0f76-0448-11de-a6fe-93d51630548a
This commit is contained in:
parent
f0f4bc3363
commit
0181d95fe4
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@ -38,24 +38,32 @@ import java.util.*;
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import java.io.PrintStream;
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public class ExactAFCalculationModel extends AlleleFrequencyCalculationModel {
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//
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// code for testing purposes
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//
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private final static boolean DEBUG = false;
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private final static boolean PRINT_LIKELIHOODS = false;
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private final static int N_CYCLES = 1;
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private SimpleTimer timerExpt = new SimpleTimer("linearExact");
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private SimpleTimer timerGS = new SimpleTimer("linearExactGS");
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private final static boolean COMPARE_TO_GS = false;
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public enum ExactCalculation {
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N2_GOLD_STANDARD,
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LINEAR_EXPERIMENTAL
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}
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private final static boolean COMPARE_TO_GS = false;
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private final static double MAX_LOG10_ERROR_TO_STOP_EARLY = 6; // we want the calculation to be accurate to 1 / 10^6
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private boolean SIMPLE_GREEDY_GENOTYPER = false;
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private static final double[] log10Cache;
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private static final double[] jacobianLogTable;
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// private static final int JACOBIAN_LOG_TABLE_SIZE = 100001;
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// private static final double JACOBIAN_LOG_TABLE_STEP = 0.0001;
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private static final int JACOBIAN_LOG_TABLE_SIZE = 101;
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private static final double JACOBIAN_LOG_TABLE_STEP = 0.1;
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private static final double MAX_JACOBIAN_TOLERANCE = 10.0;
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private static final int MAXN = 10000;
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private static final int MAXN = 10000; // todo -- warning, this might be hit at some point...
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static {
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log10Cache = new double[2*MAXN];
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@ -66,8 +74,7 @@ public class ExactAFCalculationModel extends AlleleFrequencyCalculationModel {
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log10Cache[k] = Math.log10(k);
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for (int k=0; k < JACOBIAN_LOG_TABLE_SIZE; k++) {
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jacobianLogTable[k] = Math.log10(1.0+Math.pow(10.0,-((double)k)
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* JACOBIAN_LOG_TABLE_STEP));
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jacobianLogTable[k] = Math.log10(1.0+Math.pow(10.0,-((double)k) * JACOBIAN_LOG_TABLE_STEP));
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}
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@ -91,6 +98,22 @@ public class ExactAFCalculationModel extends AlleleFrequencyCalculationModel {
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if ( COMPARE_TO_GS ) // due to annoying special values in incoming array, we have to clone up here
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gsPosteriors = log10AlleleFrequencyPosteriors.clone();
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// todo -- remove me after testing
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if ( N_CYCLES > 1 ) {
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for ( int i = 0; i < N_CYCLES; i++) {
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timerGS.restart();
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linearExactClean(GLs, log10AlleleFrequencyPriors, log10AlleleFrequencyPosteriors.clone());
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timerGS.stop();
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timerExpt.restart();
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linearExact(GLs, log10AlleleFrequencyPriors, log10AlleleFrequencyPosteriors.clone());
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timerExpt.stop();
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}
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System.out.printf("good = %.2f, expt = %.2f, delta = %.2f%n",
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timerGS.getElapsedTime(), timerExpt.getElapsedTime(), timerExpt.getElapsedTime()-timerGS.getElapsedTime());
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}
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int lastK = -1;
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switch ( calcToUse ) {
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case N2_GOLD_STANDARD:
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@ -141,37 +164,45 @@ public class ExactAFCalculationModel extends AlleleFrequencyCalculationModel {
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return genotypeLikelihoods;
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}
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private static class ExactACCache {
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// -------------------------------------------------------------------------------------
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//
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// Linearized, ~O(N), implementation.
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//
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// -------------------------------------------------------------------------------------
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/**
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* A simple data structure that holds the current, prev, and prev->prev likelihoods vectors
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* for the exact model calculation
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*/
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private final static class ExactACCache {
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double[] kMinus2, kMinus1, kMinus0;
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private static double[] create(int n, double defaultValue) {
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double[] v = new double[n];
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Arrays.fill(v, defaultValue);
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return v;
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private final static double[] create(int n) {
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return new double[n];
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}
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public ExactACCache(int n, double defaultValue) {
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kMinus2 = create(n, defaultValue);
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kMinus1 = create(n, defaultValue);
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kMinus0 = create(n, defaultValue);
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public ExactACCache(int n) {
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kMinus2 = create(n);
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kMinus1 = create(n);
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kMinus0 = create(n);
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}
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public void rotate() {
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final public void rotate() {
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double[] tmp = kMinus2;
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kMinus2 = kMinus1;
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kMinus1 = kMinus0;
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kMinus0 = tmp;
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}
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public double[] getkMinus2() {
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final public double[] getkMinus2() {
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return kMinus2;
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}
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public double[] getkMinus1() {
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final public double[] getkMinus1() {
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return kMinus1;
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}
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public double[] getkMinus0() {
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final public double[] getkMinus0() {
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return kMinus0;
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}
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}
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@ -179,6 +210,109 @@ public class ExactAFCalculationModel extends AlleleFrequencyCalculationModel {
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public int linearExact(Map<String, Genotype> GLs,
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double[] log10AlleleFrequencyPriors,
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double[] log10AlleleFrequencyPosteriors) {
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final int numSamples = GLs.size();
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final int numChr = 2*numSamples;
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final double[][] genotypeLikelihoods = getGLs(GLs);
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final ExactACCache logY = new ExactACCache(numSamples+1);
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logY.getkMinus0()[0] = 0.0; // the zero case
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double maxLog10L = Double.NEGATIVE_INFINITY;
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boolean done = false;
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int lastK = -1;
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for (int k=0; k <= numChr && ! done; k++ ) {
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final double[] kMinus0 = logY.getkMinus0();
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if ( k == 0 ) { // special case for k = 0
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for ( int j=1; j <= numSamples; j++ ) {
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kMinus0[j] = kMinus0[j-1] + genotypeLikelihoods[j][GenotypeType.AA.ordinal()];
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}
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} else { // k > 0
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final double[] kMinus1 = logY.getkMinus1();
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final double[] kMinus2 = logY.getkMinus2();
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for ( int j=1; j <= numSamples; j++ ) {
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final double[] gl = genotypeLikelihoods[j];
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final double logDenominator = log10Cache[2*j] + log10Cache[2*j-1];
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double aa = Double.NEGATIVE_INFINITY;
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double ab = Double.NEGATIVE_INFINITY;
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if (k < 2*j-1)
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aa = log10Cache[2*j-k] + log10Cache[2*j-k-1] + kMinus0[j-1] + gl[GenotypeType.AA.ordinal()];
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if (k < 2*j)
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ab = log10Cache[2*k] + log10Cache[2*j-k]+ kMinus1[j-1] + gl[GenotypeType.AB.ordinal()];
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double log10Max;
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if (k > 1) {
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final double bb = log10Cache[k] + log10Cache[k-1] + kMinus2[j-1] + gl[GenotypeType.BB.ordinal()];
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log10Max = approximateLog10SumLog10(aa, ab, bb);
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} else {
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// we know we aren't considering the BB case, so we can use an optimized log10 function
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log10Max = approximateLog10SumLog10(aa, ab);
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}
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// finally, update the L(j,k) value
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kMinus0[j] = log10Max - logDenominator;
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}
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}
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// update the posteriors vector
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final double log10LofK = kMinus0[numSamples];
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log10AlleleFrequencyPosteriors[k] = log10LofK + log10AlleleFrequencyPriors[k];
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// can we abort early?
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lastK = k;
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maxLog10L = Math.max(maxLog10L, log10LofK);
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if ( log10LofK < maxLog10L - MAX_LOG10_ERROR_TO_STOP_EARLY ) {
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if ( DEBUG ) System.out.printf(" *** breaking early k=%d log10L=%.2f maxLog10L=%.2f%n", k, log10LofK, maxLog10L);
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done = true;
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}
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logY.rotate();
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}
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return lastK;
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}
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final static double approximateLog10SumLog10(double a, double b, double c) {
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//return softMax(new double[]{a, b, c});
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return approximateLog10SumLog10(approximateLog10SumLog10(a, b), c);
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}
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final static double approximateLog10SumLog10(double small, double big) {
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// make sure small is really the smaller value
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if ( small > big ) {
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final double t = big;
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big = small;
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small = t;
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}
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if (small == Double.NEGATIVE_INFINITY || big == Double.NEGATIVE_INFINITY )
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return big;
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if (big >= small + MAX_JACOBIAN_TOLERANCE)
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return big;
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// OK, so |y-x| < tol: we use the following identity then:
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// we need to compute log10(10^x + 10^y)
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// By Jacobian logarithm identity, this is equal to
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// max(x,y) + log10(1+10^-abs(x-y))
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// we compute the second term as a table lookup
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// with integer quantization
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// we have pre-stored correction for 0,0.1,0.2,... 10.0
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//final int ind = (int)(((big-small)/JACOBIAN_LOG_TABLE_STEP)); // hard rounding
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int ind = (int)(Math.round((big-small)/JACOBIAN_LOG_TABLE_STEP)); // hard rounding
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//double z =Math.log10(1+Math.pow(10.0,-diff));
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//System.out.format("x: %f, y:%f, app: %f, true: %f ind:%d\n",x,y,t2,z,ind);
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return big + jacobianLogTable[ind];
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}
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public int linearExactClean(Map<String, Genotype> GLs,
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double[] log10AlleleFrequencyPriors,
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double[] log10AlleleFrequencyPosteriors) {
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int numSamples = GLs.size();
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int numChr = 2*numSamples;
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double[][] genotypeLikelihoods = getGLs(GLs); // todo -- remove me, not sure this is helping
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@ -187,7 +321,7 @@ public class ExactAFCalculationModel extends AlleleFrequencyCalculationModel {
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// set posteriors to negative infinity by default:
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//Arrays.fill(log10AlleleFrequencyPosteriors, Double.NEGATIVE_INFINITY);
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ExactACCache logY = new ExactACCache(numSamples+1, Double.NEGATIVE_INFINITY);
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ExactACCache logY = new ExactACCache(numSamples+1);
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logY.getkMinus0()[0] = 0.0; // the zero case
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double maxLog10L = Double.NEGATIVE_INFINITY;
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@ -251,129 +385,6 @@ public class ExactAFCalculationModel extends AlleleFrequencyCalculationModel {
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return lastK;
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}
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public int gdaN2GoldStandard(Map<String, Genotype> GLs,
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double[] log10AlleleFrequencyPriors,
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double[] log10AlleleFrequencyPosteriors) {
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int numSamples = GLs.size();
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int numChr = 2*numSamples;
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double[][] logYMatrix = new double[1+numSamples][1+numChr];
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for (int i=0; i <=numSamples; i++)
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for (int j=0; j <=numChr; j++)
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logYMatrix[i][j] = Double.NEGATIVE_INFINITY;
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//YMatrix[0][0] = 1.0;
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logYMatrix[0][0] = 0.0;
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int j=0;
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for ( Map.Entry<String, Genotype> sample : GLs.entrySet() ) {
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j++;
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if ( !sample.getValue().hasLikelihoods() )
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continue;
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//double[] genotypeLikelihoods = MathUtils.normalizeFromLog10(GLs.get(sample).getLikelihoods());
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double[] genotypeLikelihoods = sample.getValue().getLikelihoods().getAsVector();
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//double logDenominator = Math.log10(2.0*j*(2.0*j-1));
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double logDenominator = log10Cache[2*j] + log10Cache[2*j-1];
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// special treatment for k=0: iteration reduces to:
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//YMatrix[j][0] = YMatrix[j-1][0]*genotypeLikelihoods[GenotypeType.AA.ordinal()];
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logYMatrix[j][0] = logYMatrix[j-1][0] + genotypeLikelihoods[GenotypeType.AA.ordinal()];
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for (int k=1; k <= 2*j; k++ ) {
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//double num = (2.0*j-k)*(2.0*j-k-1)*YMatrix[j-1][k] * genotypeLikelihoods[GenotypeType.AA.ordinal()];
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double logNumerator[];
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logNumerator = new double[3];
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if (k < 2*j-1)
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logNumerator[0] = log10Cache[2*j-k] + log10Cache[2*j-k-1] + logYMatrix[j-1][k] +
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genotypeLikelihoods[GenotypeType.AA.ordinal()];
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else
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logNumerator[0] = Double.NEGATIVE_INFINITY;
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if (k < 2*j)
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logNumerator[1] = log10Cache[2*k] + log10Cache[2*j-k]+ logYMatrix[j-1][k-1] +
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genotypeLikelihoods[GenotypeType.AB.ordinal()];
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else
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logNumerator[1] = Double.NEGATIVE_INFINITY;
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if (k > 1)
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logNumerator[2] = log10Cache[k] + log10Cache[k-1] + logYMatrix[j-1][k-2] +
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genotypeLikelihoods[GenotypeType.BB.ordinal()];
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else
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logNumerator[2] = Double.NEGATIVE_INFINITY;
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double logNum = softMax(logNumerator);
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//YMatrix[j][k] = num/den;
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logYMatrix[j][k] = logNum - logDenominator;
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}
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}
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for (int k=0; k <= numChr; k++)
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log10AlleleFrequencyPosteriors[k] = logYMatrix[j][k] + log10AlleleFrequencyPriors[k];
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return numChr;
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}
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private final static void printLikelihoods(int numChr, double[][] logYMatrix, double[] log10AlleleFrequencyPriors) {
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int j = logYMatrix.length - 1;
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System.out.printf("-----------------------------------%n");
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for (int k=0; k <= numChr; k++) {
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double posterior = logYMatrix[j][k] + log10AlleleFrequencyPriors[k];
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System.out.printf(" %4d\t%8.2f\t%8.2f\t%8.2f%n", k, logYMatrix[j][k], log10AlleleFrequencyPriors[k], posterior);
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}
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}
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double softMax(double[] vec) {
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// compute naively log10(10^x[0] + 10^x[1]+...)
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// return Math.log10(MathUtils.sumLog10(vec));
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// better approximation: do Jacobian logarithm function on data pairs
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double a = softMaxPair(vec[0],vec[1]);
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return softMaxPair(a,vec[2]);
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}
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static public double softMaxPair(double x, double y) {
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if (Double.isInfinite(x))
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return y;
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if (Double.isInfinite(y))
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return x;
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if (y >= x + MAX_JACOBIAN_TOLERANCE)
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return y;
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if (x >= y + MAX_JACOBIAN_TOLERANCE)
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return x;
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// OK, so |y-x| < tol: we use the following identity then:
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// we need to compute log10(10^x + 10^y)
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// By Jacobian logarithm identity, this is equal to
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// max(x,y) + log10(1+10^-abs(x-y))
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// we compute the second term as a table lookup
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// with integer quantization
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double diff = Math.abs(x-y);
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double t1 =x;
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if (y > x)
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t1 = y;
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// t has max(x,y)
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// we have pre-stored correction for 0,0.1,0.2,... 10.0
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int ind = (int)Math.round(diff/JACOBIAN_LOG_TABLE_STEP);
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double t2 = jacobianLogTable[ind];
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// gdebug+
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//double z =Math.log10(1+Math.pow(10.0,-diff));
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//System.out.format("x: %f, y:%f, app: %f, true: %f ind:%d\n",x,y,t2,z,ind);
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//gdebug-
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return t1+t2;
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// return Math.log10(Math.pow(10.0,x) + Math.pow(10.0,y));
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}
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/**
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* Can be overridden by concrete subclasses
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@ -501,456 +512,132 @@ public class ExactAFCalculationModel extends AlleleFrequencyCalculationModel {
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return calls;
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}
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}
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// -------------------------------------------------------------------------------------
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//
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// Gold standard, but O(N^2), implementation.
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//
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// TODO -- remove me for clarity in this code
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//
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// -------------------------------------------------------------------------------------
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public int gdaN2GoldStandard(Map<String, Genotype> GLs,
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double[] log10AlleleFrequencyPriors,
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double[] log10AlleleFrequencyPosteriors) {
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int numSamples = GLs.size();
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int numChr = 2*numSamples;
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// working linearized version
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//public class ExactAFCalculationModel extends AlleleFrequencyCalculationModel {
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// private final static boolean PRINT_LIKELIHOODS = false;
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//
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// public enum ExactCalculation {
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// N2_GOLD_STANDARD,
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// LINEAR_EXPERIMENTAL
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// }
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//
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// private final static boolean COMPARE_TO_GS = false;
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// private final static boolean PRINT_MAD_AC_POSTERIORS = false;
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// private final static double MAX_LOG10_ERROR_TO_STOP_EARLY = 6; // we want the calculation to be accurate to 1 / 10^6
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//
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// private boolean SIMPLE_GREEDY_GENOTYPER = false;
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// private static final double[] log10Cache;
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// private static final double[] jacobianLogTable;
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// private static final int JACOBIAN_LOG_TABLE_SIZE = 101;
|
||||
// private static final double JACOBIAN_LOG_TABLE_STEP = 0.1;
|
||||
// private static final double MAX_JACOBIAN_TOLERANCE = 10.0;
|
||||
// private static final int MAXN = 10000;
|
||||
//
|
||||
// static {
|
||||
// log10Cache = new double[2*MAXN];
|
||||
// jacobianLogTable = new double[JACOBIAN_LOG_TABLE_SIZE];
|
||||
//
|
||||
// log10Cache[0] = Double.NEGATIVE_INFINITY;
|
||||
// for (int k=1; k < 2*MAXN; k++)
|
||||
// log10Cache[k] = Math.log10(k);
|
||||
//
|
||||
// for (int k=0; k < JACOBIAN_LOG_TABLE_SIZE; k++) {
|
||||
// jacobianLogTable[k] = Math.log10(1.0+Math.pow(10.0,-((double)k)
|
||||
// * JACOBIAN_LOG_TABLE_STEP));
|
||||
//
|
||||
// }
|
||||
//
|
||||
// }
|
||||
//
|
||||
// final private ExactCalculation calcToUse;
|
||||
// protected ExactAFCalculationModel(UnifiedArgumentCollection UAC, int N, Logger logger, PrintStream verboseWriter) {
|
||||
// super(UAC, N, logger, verboseWriter);
|
||||
// calcToUse = UAC.EXACT_CALCULATION_TYPE;
|
||||
// }
|
||||
//
|
||||
// public void getLog10PNonRef(RefMetaDataTracker tracker,
|
||||
// ReferenceContext ref,
|
||||
// Map<String, Genotype> GLs,
|
||||
// double[] log10AlleleFrequencyPriors,
|
||||
// double[] log10AlleleFrequencyPosteriors) {
|
||||
// switch ( calcToUse ) {
|
||||
// case N2_GOLD_STANDARD:
|
||||
// gdaN2GoldStandard(GLs, log10AlleleFrequencyPriors, log10AlleleFrequencyPosteriors);
|
||||
// break;
|
||||
// case LINEAR_EXPERIMENTAL:
|
||||
// madByAC(ref, GLs, log10AlleleFrequencyPriors, log10AlleleFrequencyPosteriors);
|
||||
// break;
|
||||
// }
|
||||
// }
|
||||
//
|
||||
// private static final double[][] getGLs(Map<String, Genotype> GLs) {
|
||||
// double[][] genotypeLikelihoods = new double[GLs.size()+1][];
|
||||
//
|
||||
// int j = 0;
|
||||
// for ( Genotype sample : GLs.values() ) {
|
||||
// j++;
|
||||
//
|
||||
// if ( sample.hasLikelihoods() ) {
|
||||
// //double[] genotypeLikelihoods = MathUtils.normalizeFromLog10(GLs.get(sample).getLikelihoods());
|
||||
// genotypeLikelihoods[j] = sample.getLikelihoods().getAsVector();
|
||||
// }
|
||||
// }
|
||||
//
|
||||
// return genotypeLikelihoods;
|
||||
// }
|
||||
//
|
||||
// private static class ExactACCache {
|
||||
// double[] kMinus2, kMinus1, kMinus0;
|
||||
//
|
||||
// private static double[] create(int n, double defaultValue) {
|
||||
// double[] v = new double[n];
|
||||
// Arrays.fill(v, defaultValue);
|
||||
// return v;
|
||||
// }
|
||||
//
|
||||
// public ExactACCache(int nSamples, double defaultValue) {
|
||||
// kMinus2 = create(nSamples, defaultValue);
|
||||
// kMinus1 = create(nSamples, defaultValue);
|
||||
// kMinus0 = create(nSamples, defaultValue);
|
||||
// }
|
||||
//
|
||||
// public void rotate() {
|
||||
// double[] tmp = kMinus2;
|
||||
// kMinus2 = kMinus1;
|
||||
// kMinus1 = kMinus0;
|
||||
// kMinus0 = tmp;
|
||||
// }
|
||||
//
|
||||
// public double[] getkMinus2() {
|
||||
// return kMinus2;
|
||||
// }
|
||||
//
|
||||
// public double[] getkMinus1() {
|
||||
// return kMinus1;
|
||||
// }
|
||||
//
|
||||
// public double[] getkMinus0() {
|
||||
// return kMinus0;
|
||||
// }
|
||||
// }
|
||||
//
|
||||
// public void madByAC(ReferenceContext ref,
|
||||
// Map<String, Genotype> GLs,
|
||||
// double[] log10AlleleFrequencyPriors,
|
||||
// double[] log10AlleleFrequencyPosteriors) {
|
||||
// // todo -- remove me after testing
|
||||
// double[] gsPosteriors = log10AlleleFrequencyPosteriors;
|
||||
// if ( COMPARE_TO_GS ) {
|
||||
// gsPosteriors = log10AlleleFrequencyPosteriors.clone();
|
||||
// gdaN2GoldStandard(GLs, log10AlleleFrequencyPriors, gsPosteriors);
|
||||
// }
|
||||
//
|
||||
// int numSamples = GLs.size();
|
||||
// int numChr = 2*numSamples;
|
||||
// double[][] genotypeLikelihoods = getGLs(GLs); // todo -- remove me, not sure this is helping
|
||||
//
|
||||
// // set posteriors to negative infinity by default:
|
||||
// Arrays.fill(log10AlleleFrequencyPosteriors, Double.NEGATIVE_INFINITY);
|
||||
//
|
||||
// // todo -- replace this matrix with 3 vectors (k, k-1, k-2) and cycle through them
|
||||
// // todo -- this is *CRITICAL* to reduce the algorithm to a true ~linear algorithm
|
||||
// double[][] logYMatrix = new double[1+numSamples][1+numChr];
|
||||
// for (int i=0; i <= numSamples; i++) // initialize
|
||||
// Arrays.fill(logYMatrix[i], Double.NEGATIVE_INFINITY);
|
||||
// logYMatrix[0][0] = 0.0; // the zero case
|
||||
//
|
||||
// double maxLog10L = Double.NEGATIVE_INFINITY;
|
||||
// boolean done = false;
|
||||
// int lastK = -1;
|
||||
//
|
||||
// // todo -- we may be able to start second loop some way down the calculation, since GdAs loop only
|
||||
// // todo -- considers part of the matrix as well
|
||||
// for (int k=0; k <= numChr && ! done; k++ ) {
|
||||
// if ( k == 0 ) {
|
||||
// // special case for k = 0
|
||||
// for ( int j=1; j <= numSamples; j++ ) {
|
||||
// logYMatrix[j][0] = logYMatrix[j-1][0] + genotypeLikelihoods[j][GenotypeType.AA.ordinal()];
|
||||
// }
|
||||
// } else { // k > 0
|
||||
// for ( int j=1; j <= numSamples; j++ ) {
|
||||
// double[] gl = genotypeLikelihoods[j];
|
||||
// double logDenominator = log10Cache[2*j] + log10Cache[2*j-1];
|
||||
//
|
||||
// double[] logNumerator = {Double.NEGATIVE_INFINITY, Double.NEGATIVE_INFINITY, Double.NEGATIVE_INFINITY};
|
||||
// if (k < 2*j-1)
|
||||
// logNumerator[0] = log10Cache[2*j-k] + log10Cache[2*j-k-1] + logYMatrix[j-1][k] +
|
||||
// gl[GenotypeType.AA.ordinal()];
|
||||
//
|
||||
// if (k < 2*j)
|
||||
// logNumerator[1] = log10Cache[2*k] + log10Cache[2*j-k]+ logYMatrix[j-1][k-1] +
|
||||
// gl[GenotypeType.AB.ordinal()];
|
||||
//
|
||||
// if (k > 1)
|
||||
// logNumerator[2] = log10Cache[k] + log10Cache[k-1] + logYMatrix[j-1][k-2] +
|
||||
// gl[GenotypeType.BB.ordinal()];
|
||||
//
|
||||
// logYMatrix[j][k] = softMax(logNumerator) - logDenominator;
|
||||
// }
|
||||
// }
|
||||
//
|
||||
// // update the posteriors vector
|
||||
// double log10LofK = logYMatrix[numSamples][k];
|
||||
// log10AlleleFrequencyPosteriors[k] = log10LofK + log10AlleleFrequencyPriors[k];
|
||||
//
|
||||
// // can we abort early?
|
||||
// lastK = k;
|
||||
// maxLog10L = Math.max(maxLog10L, log10LofK);
|
||||
// if ( log10LofK < maxLog10L - MAX_LOG10_ERROR_TO_STOP_EARLY ) {
|
||||
// if ( PRINT_MAD_AC_POSTERIORS )
|
||||
// System.out.printf(" *** breaking early k=%d log10L=%.2f maxLog10L=%.2f%n", k, log10LofK, maxLog10L);
|
||||
// done = true;
|
||||
// }
|
||||
// }
|
||||
//
|
||||
// if ( PRINT_MAD_AC_POSTERIORS ) {
|
||||
// System.out.printf("----------------------------------------%n");
|
||||
// for (int k=0; k <= numChr; k++) {
|
||||
// System.out.printf(" %d\t%.2f\t%.2f\t%b%n", k,
|
||||
// log10AlleleFrequencyPosteriors[k], gsPosteriors[k],
|
||||
// log10AlleleFrequencyPosteriors[k] == gsPosteriors[k]);
|
||||
// }
|
||||
// double log10thisPVar = Math.log10(MathUtils.normalizeFromLog10(log10AlleleFrequencyPosteriors)[0]);
|
||||
// double log10gsPVar = Math.log10(MathUtils.normalizeFromLog10(gsPosteriors)[0]);
|
||||
// System.out.printf("MAD_AC\t%d\t%d\t%.2f\t%.2f\t%.6f%n",
|
||||
// ref.getLocus().getStart(), lastK, log10thisPVar, log10gsPVar, log10thisPVar - log10gsPVar);
|
||||
// }
|
||||
//
|
||||
// if ( PRINT_LIKELIHOODS ) printLikelihoods(numChr, logYMatrix, log10AlleleFrequencyPriors);
|
||||
// }
|
||||
//
|
||||
//
|
||||
// public void gdaN2GoldStandard(Map<String, Genotype> GLs,
|
||||
// double[] log10AlleleFrequencyPriors,
|
||||
// double[] log10AlleleFrequencyPosteriors) {
|
||||
// int numSamples = GLs.size();
|
||||
// int numChr = 2*numSamples;
|
||||
//
|
||||
// double[][] logYMatrix = new double[1+numSamples][1+numChr];
|
||||
//
|
||||
// for (int i=0; i <=numSamples; i++)
|
||||
// for (int j=0; j <=numChr; j++)
|
||||
// logYMatrix[i][j] = Double.NEGATIVE_INFINITY;
|
||||
//
|
||||
// //YMatrix[0][0] = 1.0;
|
||||
// logYMatrix[0][0] = 0.0;
|
||||
// int j=0;
|
||||
//
|
||||
// for ( Map.Entry<String, Genotype> sample : GLs.entrySet() ) {
|
||||
// j++;
|
||||
//
|
||||
// if ( !sample.getValue().hasLikelihoods() )
|
||||
// continue;
|
||||
//
|
||||
// //double[] genotypeLikelihoods = MathUtils.normalizeFromLog10(GLs.get(sample).getLikelihoods());
|
||||
// double[] genotypeLikelihoods = sample.getValue().getLikelihoods().getAsVector();
|
||||
// //double logDenominator = Math.log10(2.0*j*(2.0*j-1));
|
||||
// double logDenominator = log10Cache[2*j] + log10Cache[2*j-1];
|
||||
//
|
||||
// // special treatment for k=0: iteration reduces to:
|
||||
// //YMatrix[j][0] = YMatrix[j-1][0]*genotypeLikelihoods[GenotypeType.AA.ordinal()];
|
||||
// logYMatrix[j][0] = logYMatrix[j-1][0] + genotypeLikelihoods[GenotypeType.AA.ordinal()];
|
||||
//
|
||||
// for (int k=1; k <= 2*j; k++ ) {
|
||||
//
|
||||
// //double num = (2.0*j-k)*(2.0*j-k-1)*YMatrix[j-1][k] * genotypeLikelihoods[GenotypeType.AA.ordinal()];
|
||||
// double logNumerator[];
|
||||
// logNumerator = new double[3];
|
||||
// if (k < 2*j-1)
|
||||
// logNumerator[0] = log10Cache[2*j-k] + log10Cache[2*j-k-1] + logYMatrix[j-1][k] +
|
||||
// genotypeLikelihoods[GenotypeType.AA.ordinal()];
|
||||
// else
|
||||
// logNumerator[0] = Double.NEGATIVE_INFINITY;
|
||||
//
|
||||
//
|
||||
// if (k < 2*j)
|
||||
// logNumerator[1] = log10Cache[2*k] + log10Cache[2*j-k]+ logYMatrix[j-1][k-1] +
|
||||
// genotypeLikelihoods[GenotypeType.AB.ordinal()];
|
||||
// else
|
||||
// logNumerator[1] = Double.NEGATIVE_INFINITY;
|
||||
//
|
||||
// if (k > 1)
|
||||
// logNumerator[2] = log10Cache[k] + log10Cache[k-1] + logYMatrix[j-1][k-2] +
|
||||
// genotypeLikelihoods[GenotypeType.BB.ordinal()];
|
||||
// else
|
||||
// logNumerator[2] = Double.NEGATIVE_INFINITY;
|
||||
//
|
||||
// double logNum = softMax(logNumerator);
|
||||
//
|
||||
// //YMatrix[j][k] = num/den;
|
||||
// logYMatrix[j][k] = logNum - logDenominator;
|
||||
// }
|
||||
//
|
||||
// }
|
||||
//
|
||||
//
|
||||
// for (int k=0; k <= numChr; k++)
|
||||
// log10AlleleFrequencyPosteriors[k] = logYMatrix[j][k] + log10AlleleFrequencyPriors[k];
|
||||
//
|
||||
// if ( PRINT_LIKELIHOODS ) printLikelihoods(numChr, logYMatrix, log10AlleleFrequencyPriors);
|
||||
// }
|
||||
//
|
||||
// private final static void printLikelihoods(int numChr, double[][] logYMatrix, double[] log10AlleleFrequencyPriors) {
|
||||
// int j = logYMatrix.length - 1;
|
||||
// System.out.printf("-----------------------------------%n");
|
||||
// for (int k=0; k <= numChr; k++) {
|
||||
// double posterior = logYMatrix[j][k] + log10AlleleFrequencyPriors[k];
|
||||
// System.out.printf(" %4d\t%8.2f\t%8.2f\t%8.2f%n", k, logYMatrix[j][k], log10AlleleFrequencyPriors[k], posterior);
|
||||
// }
|
||||
// }
|
||||
//
|
||||
// double softMax(double[] vec) {
|
||||
// // compute naively log10(10^x[0] + 10^x[1]+...)
|
||||
// // return Math.log10(MathUtils.sumLog10(vec));
|
||||
//
|
||||
// // better approximation: do Jacobian logarithm function on data pairs
|
||||
// double a = softMaxPair(vec[0],vec[1]);
|
||||
// return softMaxPair(a,vec[2]);
|
||||
// }
|
||||
//
|
||||
// static public double softMaxPair(double x, double y) {
|
||||
// if (Double.isInfinite(x))
|
||||
// return y;
|
||||
//
|
||||
// if (Double.isInfinite(y))
|
||||
// return x;
|
||||
//
|
||||
// if (y >= x + MAX_JACOBIAN_TOLERANCE)
|
||||
// return y;
|
||||
// if (x >= y + MAX_JACOBIAN_TOLERANCE)
|
||||
// return x;
|
||||
//
|
||||
// // OK, so |y-x| < tol: we use the following identity then:
|
||||
// // we need to compute log10(10^x + 10^y)
|
||||
// // By Jacobian logarithm identity, this is equal to
|
||||
// // max(x,y) + log10(1+10^-abs(x-y))
|
||||
// // we compute the second term as a table lookup
|
||||
// // with integer quantization
|
||||
// double diff = Math.abs(x-y);
|
||||
// double t1 =x;
|
||||
// if (y > x)
|
||||
// t1 = y;
|
||||
// // t has max(x,y)
|
||||
// // we have pre-stored correction for 0,0.1,0.2,... 10.0
|
||||
// int ind = (int)Math.round(diff/JACOBIAN_LOG_TABLE_STEP);
|
||||
// double t2 = jacobianLogTable[ind];
|
||||
//
|
||||
// // gdebug+
|
||||
// //double z =Math.log10(1+Math.pow(10.0,-diff));
|
||||
// //System.out.format("x: %f, y:%f, app: %f, true: %f ind:%d\n",x,y,t2,z,ind);
|
||||
// //gdebug-
|
||||
// return t1+t2;
|
||||
// // return Math.log10(Math.pow(10.0,x) + Math.pow(10.0,y));
|
||||
// }
|
||||
//
|
||||
//
|
||||
//
|
||||
// /**
|
||||
// * Can be overridden by concrete subclasses
|
||||
// * @param vc variant context with genotype likelihoods
|
||||
// * @param log10AlleleFrequencyPosteriors allele frequency results
|
||||
// * @param AFofMaxLikelihood allele frequency of max likelihood
|
||||
// *
|
||||
// * @return calls
|
||||
// */
|
||||
// public Map<String, Genotype> assignGenotypes(VariantContext vc,
|
||||
// double[] log10AlleleFrequencyPosteriors,
|
||||
// int AFofMaxLikelihood) {
|
||||
// if ( !vc.isVariant() )
|
||||
// throw new UserException("The VCF record passed in does not contain an ALT allele at " + vc.getChr() + ":" + vc.getStart());
|
||||
//
|
||||
// Allele refAllele = vc.getReference();
|
||||
// Allele altAllele = vc.getAlternateAllele(0);
|
||||
//
|
||||
// Map<String, Genotype> GLs = vc.getGenotypes();
|
||||
// double[][] pathMetricArray = new double[GLs.size()+1][AFofMaxLikelihood+1];
|
||||
// int[][] tracebackArray = new int[GLs.size()+1][AFofMaxLikelihood+1];
|
||||
//
|
||||
// ArrayList<String> sampleIndices = new ArrayList<String>();
|
||||
// int sampleIdx = 0;
|
||||
//
|
||||
// // todo - optimize initialization
|
||||
// for (int k=0; k <= AFofMaxLikelihood; k++)
|
||||
// for (int j=0; j <= GLs.size(); j++)
|
||||
// pathMetricArray[j][k] = -1e30;
|
||||
//
|
||||
// pathMetricArray[0][0] = 0.0;
|
||||
//
|
||||
// if (SIMPLE_GREEDY_GENOTYPER) {
|
||||
// sampleIndices.addAll(GLs.keySet());
|
||||
// sampleIdx = GLs.size();
|
||||
// }
|
||||
// else {
|
||||
//
|
||||
// for ( Map.Entry<String, Genotype> sample : GLs.entrySet() ) {
|
||||
// if ( !sample.getValue().hasLikelihoods() )
|
||||
// continue;
|
||||
//
|
||||
// double[] likelihoods = sample.getValue().getLikelihoods().getAsVector();
|
||||
// sampleIndices.add(sample.getKey());
|
||||
//
|
||||
// for (int k=0; k <= AFofMaxLikelihood; k++) {
|
||||
//
|
||||
// double bestMetric = pathMetricArray[sampleIdx][k] + likelihoods[0];
|
||||
// int bestIndex = k;
|
||||
//
|
||||
// if (k>0) {
|
||||
// double m2 = pathMetricArray[sampleIdx][k-1] + likelihoods[1];
|
||||
// if (m2 > bestMetric) {
|
||||
// bestMetric = m2;
|
||||
// bestIndex = k-1;
|
||||
// }
|
||||
// }
|
||||
//
|
||||
// if (k>1) {
|
||||
// double m2 = pathMetricArray[sampleIdx][k-2] + likelihoods[2];
|
||||
// if (m2 > bestMetric) {
|
||||
// bestMetric = m2;
|
||||
// bestIndex = k-2;
|
||||
// }
|
||||
// }
|
||||
//
|
||||
// pathMetricArray[sampleIdx+1][k] = bestMetric;
|
||||
// tracebackArray[sampleIdx+1][k] = bestIndex;
|
||||
// }
|
||||
// sampleIdx++;
|
||||
// }
|
||||
// }
|
||||
//
|
||||
// HashMap<String, Genotype> calls = new HashMap<String, Genotype>();
|
||||
//
|
||||
// int startIdx = AFofMaxLikelihood;
|
||||
// for (int k = sampleIdx; k > 0; k--) {
|
||||
// int bestGTguess;
|
||||
// String sample = sampleIndices.get(k-1);
|
||||
// Genotype g = GLs.get(sample);
|
||||
// if ( !g.hasLikelihoods() )
|
||||
// continue;
|
||||
//
|
||||
// if (SIMPLE_GREEDY_GENOTYPER)
|
||||
// bestGTguess = Utils.findIndexOfMaxEntry(g.getLikelihoods().getAsVector());
|
||||
// else {
|
||||
// int newIdx = tracebackArray[k][startIdx];
|
||||
// bestGTguess = startIdx - newIdx;
|
||||
// startIdx = newIdx;
|
||||
// }
|
||||
//
|
||||
// ArrayList<Allele> myAlleles = new ArrayList<Allele>();
|
||||
//
|
||||
// double qual;
|
||||
// double[] likelihoods = g.getLikelihoods().getAsVector();
|
||||
//
|
||||
// if (bestGTguess == 0) {
|
||||
// myAlleles.add(refAllele);
|
||||
// myAlleles.add(refAllele);
|
||||
// qual = likelihoods[0] - Math.max(likelihoods[1], likelihoods[2]);
|
||||
// } else if(bestGTguess == 1) {
|
||||
// myAlleles.add(refAllele);
|
||||
// myAlleles.add(altAllele);
|
||||
// qual = likelihoods[1] - Math.max(likelihoods[0], likelihoods[2]);
|
||||
//
|
||||
// } else {
|
||||
// myAlleles.add(altAllele);
|
||||
// myAlleles.add(altAllele);
|
||||
// qual = likelihoods[2] - Math.max(likelihoods[1], likelihoods[0]);
|
||||
// }
|
||||
//
|
||||
//
|
||||
// if (qual < 0) {
|
||||
// // QUAL can be negative if the chosen genotype is not the most likely one individually.
|
||||
// // In this case, we compute the actual genotype probability and QUAL is the likelihood of it not being the chosen on
|
||||
// double[] normalized = MathUtils.normalizeFromLog10(likelihoods);
|
||||
// double chosenGenotype = normalized[bestGTguess];
|
||||
// qual = -1.0 * Math.log10(1.0 - chosenGenotype);
|
||||
// }
|
||||
//
|
||||
// calls.put(sample, new Genotype(sample, myAlleles, qual, null, g.getAttributes(), false));
|
||||
//
|
||||
// }
|
||||
//
|
||||
// return calls;
|
||||
// }
|
||||
//
|
||||
//}
|
||||
double[][] logYMatrix = new double[1+numSamples][1+numChr];
|
||||
|
||||
for (int i=0; i <=numSamples; i++)
|
||||
for (int j=0; j <=numChr; j++)
|
||||
logYMatrix[i][j] = Double.NEGATIVE_INFINITY;
|
||||
|
||||
//YMatrix[0][0] = 1.0;
|
||||
logYMatrix[0][0] = 0.0;
|
||||
int j=0;
|
||||
|
||||
for ( Map.Entry<String, Genotype> sample : GLs.entrySet() ) {
|
||||
j++;
|
||||
|
||||
if ( !sample.getValue().hasLikelihoods() )
|
||||
continue;
|
||||
|
||||
//double[] genotypeLikelihoods = MathUtils.normalizeFromLog10(GLs.get(sample).getLikelihoods());
|
||||
double[] genotypeLikelihoods = sample.getValue().getLikelihoods().getAsVector();
|
||||
//double logDenominator = Math.log10(2.0*j*(2.0*j-1));
|
||||
double logDenominator = log10Cache[2*j] + log10Cache[2*j-1];
|
||||
|
||||
// special treatment for k=0: iteration reduces to:
|
||||
//YMatrix[j][0] = YMatrix[j-1][0]*genotypeLikelihoods[GenotypeType.AA.ordinal()];
|
||||
logYMatrix[j][0] = logYMatrix[j-1][0] + genotypeLikelihoods[GenotypeType.AA.ordinal()];
|
||||
|
||||
for (int k=1; k <= 2*j; k++ ) {
|
||||
|
||||
//double num = (2.0*j-k)*(2.0*j-k-1)*YMatrix[j-1][k] * genotypeLikelihoods[GenotypeType.AA.ordinal()];
|
||||
double logNumerator[];
|
||||
logNumerator = new double[3];
|
||||
if (k < 2*j-1)
|
||||
logNumerator[0] = log10Cache[2*j-k] + log10Cache[2*j-k-1] + logYMatrix[j-1][k] +
|
||||
genotypeLikelihoods[GenotypeType.AA.ordinal()];
|
||||
else
|
||||
logNumerator[0] = Double.NEGATIVE_INFINITY;
|
||||
|
||||
|
||||
if (k < 2*j)
|
||||
logNumerator[1] = log10Cache[2*k] + log10Cache[2*j-k]+ logYMatrix[j-1][k-1] +
|
||||
genotypeLikelihoods[GenotypeType.AB.ordinal()];
|
||||
else
|
||||
logNumerator[1] = Double.NEGATIVE_INFINITY;
|
||||
|
||||
if (k > 1)
|
||||
logNumerator[2] = log10Cache[k] + log10Cache[k-1] + logYMatrix[j-1][k-2] +
|
||||
genotypeLikelihoods[GenotypeType.BB.ordinal()];
|
||||
else
|
||||
logNumerator[2] = Double.NEGATIVE_INFINITY;
|
||||
|
||||
double logNum = softMax(logNumerator);
|
||||
|
||||
//YMatrix[j][k] = num/den;
|
||||
logYMatrix[j][k] = logNum - logDenominator;
|
||||
}
|
||||
|
||||
}
|
||||
|
||||
for (int k=0; k <= numChr; k++)
|
||||
log10AlleleFrequencyPosteriors[k] = logYMatrix[j][k] + log10AlleleFrequencyPriors[k];
|
||||
|
||||
return numChr;
|
||||
}
|
||||
|
||||
private final static void printLikelihoods(int numChr, double[][] logYMatrix, double[] log10AlleleFrequencyPriors) {
|
||||
int j = logYMatrix.length - 1;
|
||||
System.out.printf("-----------------------------------%n");
|
||||
for (int k=0; k <= numChr; k++) {
|
||||
double posterior = logYMatrix[j][k] + log10AlleleFrequencyPriors[k];
|
||||
System.out.printf(" %4d\t%8.2f\t%8.2f\t%8.2f%n", k, logYMatrix[j][k], log10AlleleFrequencyPriors[k], posterior);
|
||||
}
|
||||
}
|
||||
|
||||
double softMax(double[] vec) {
|
||||
// compute naively log10(10^x[0] + 10^x[1]+...)
|
||||
// return Math.log10(MathUtils.sumLog10(vec));
|
||||
|
||||
// better approximation: do Jacobian logarithm function on data pairs
|
||||
double a = softMaxPair(vec[0],vec[1]);
|
||||
return softMaxPair(a,vec[2]);
|
||||
}
|
||||
|
||||
static public double softMaxPair(double x, double y) {
|
||||
if (Double.isInfinite(x))
|
||||
return y;
|
||||
|
||||
if (Double.isInfinite(y))
|
||||
return x;
|
||||
|
||||
if (y >= x + MAX_JACOBIAN_TOLERANCE)
|
||||
return y;
|
||||
if (x >= y + MAX_JACOBIAN_TOLERANCE)
|
||||
return x;
|
||||
|
||||
// OK, so |y-x| < tol: we use the following identity then:
|
||||
// we need to compute log10(10^x + 10^y)
|
||||
// By Jacobian logarithm identity, this is equal to
|
||||
// max(x,y) + log10(1+10^-abs(x-y))
|
||||
// we compute the second term as a table lookup
|
||||
// with integer quantization
|
||||
double diff = Math.abs(x-y);
|
||||
double t1 =x;
|
||||
if (y > x)
|
||||
t1 = y;
|
||||
// t has max(x,y)
|
||||
// we have pre-stored correction for 0,0.1,0.2,... 10.0
|
||||
int ind = (int)Math.round(diff/JACOBIAN_LOG_TABLE_STEP);
|
||||
double t2 = jacobianLogTable[ind];
|
||||
|
||||
// gdebug+
|
||||
//double z =Math.log10(1+Math.pow(10.0,-diff));
|
||||
//System.out.format("x: %f, y:%f, app: %f, true: %f ind:%d\n",x,y,t2,z,ind);
|
||||
//gdebug-
|
||||
return t1+t2;
|
||||
// return Math.log10(Math.pow(10.0,x) + Math.pow(10.0,y));
|
||||
}
|
||||
}
|
||||
|
|
|
|||
Loading…
Reference in New Issue