return new NumberEval(result);
}
}
+
+ /**
+ * Returns the k-th percentile of values in a range. You can use this function to establish a threshold of
+ * acceptance. For example, you can decide to examine candidates who score above the 90th percentile.
+ *
+ * PERCENTILE(array,k)
+ * Array is the array or range of data that defines relative standing.
+ * K is the percentile value in the range 0..1, inclusive.
+ *
+ * <strong>Remarks</strong>
+ * <ul>
+ * <li>if array is empty or contains more than 8,191 data points, PERCENTILE returns the #NUM! error value.</li>
+ * <li>If k is nonnumeric, PERCENTILE returns the #VALUE! error value.</li>
+ * <li>If k is < 0 or if k > 1, PERCENTILE returns the #NUM! error value.</li>
+ * <li>If k is not a multiple of 1/(n - 1), PERCENTILE interpolates to determine the value at the k-th percentile.</li>
+ * </ul>
+ */
+ private static final class Percentile extends Fixed2ArgFunction {
+
+ protected Percentile() {
+ }
+
+ public ValueEval evaluate(int srcRowIndex, int srcColumnIndex, ValueEval arg0,
+ ValueEval arg1) {
+ double dn;
+ try {
+ ValueEval ve1 = OperandResolver.getSingleValue(arg1, srcRowIndex, srcColumnIndex);
+ dn = OperandResolver.coerceValueToDouble(ve1);
+ } catch (EvaluationException e1) {
+ // all errors in the second arg translate to #VALUE!
+ return ErrorEval.VALUE_INVALID;
+ }
+ if (dn < 0 || dn > 1) { // has to be percentage
+ return ErrorEval.NUM_ERROR;
+ }
+
+ double result;
+ try {
+ double[] ds = ValueCollector.collectValues(arg0);
+ int N = ds.length;
+
+ if (N == 0 || N > 8191) {
+ return ErrorEval.NUM_ERROR;
+ }
+
+ double n = (N - 1) * dn + 1;
+ if (n == 1d) {
+ result = StatsLib.kthSmallest(ds, 1);
+ } else if (n == N) {
+ result = StatsLib.kthLargest(ds, 1);
+ } else {
+ int k = (int) n;
+ double d = n - k;
+ result = StatsLib.kthSmallest(ds, k) + d
+ * (StatsLib.kthSmallest(ds, k + 1) - StatsLib.kthSmallest(ds, k));
+ }
+
+ NumericFunction.checkValue(result);
+ } catch (EvaluationException e) {
+ return e.getErrorEval();
+ }
+
+ return new NumberEval(result);
+ }
+ }
+
static final class ValueCollector extends MultiOperandNumericFunction {
private static final ValueCollector instance = new ValueCollector();
public ValueCollector() {
return values.length > 0 ? MathX.min(values) : 0;
}
};
+
+ public static final Function PERCENTILE = new Percentile();
+
public static final Function PRODUCT = new AggregateFunction() {
protected double evaluate(double[] values) {
return MathX.product(values);