in ambari-metrics-common/src/main/java/org/apache/hadoop/metrics2/sink/timeline/PostProcessingUtil.java [85:158]
public static Map<Long, Double> interpolate(Map<Long, Double> valuesMap, List<Long> requiredTimestamps) {
LinearInterpolator linearInterpolator = new LinearInterpolator();
if (valuesMap == null || valuesMap.isEmpty()) {
return null;
}
if (requiredTimestamps == null || requiredTimestamps.isEmpty()) {
return null;
}
Map<Long, Double> interpolatedValuesMap = new HashMap<>();
if (valuesMap.size() == 1) {
//Just one value present in the window. Use that value to interpolate all required timestamps.
Double value = null;
for (Map.Entry<Long, Double> entry : valuesMap.entrySet()) {
value = entry.getValue();
}
for (Long requiredTs : requiredTimestamps) {
interpolatedValuesMap.put(requiredTs, value);
}
return interpolatedValuesMap;
}
double[] timestamps = new double[valuesMap.size()];
double[] metrics = new double[valuesMap.size()];
int i = 0;
for (Map.Entry<Long, Double> entry : valuesMap.entrySet()) {
timestamps[i] = (double) entry.getKey();
metrics[i++] = entry.getValue();
}
PolynomialSplineFunction function = linearInterpolator.interpolate(timestamps, metrics);
PolynomialFunction[] splines = function.getPolynomials();
PolynomialFunction first = splines[0];
for (Long requiredTs : requiredTimestamps) {
Double interpolatedValue = null;
if (timestampInRange(requiredTs, timestamps[0], timestamps[timestamps.length - 1])) {
/*
Interpolation Case
Required TS is within range of the set of values used for interpolation.
Hence, we can use library to get the interpolated value.
*/
interpolatedValue = function.value((double) requiredTs);
} else {
/*
Extrapolation Case
Required TS outside range of the set of values used for interpolation.
We will use the coefficients to make best effort extrapolation
y(x)= y1 + m * (x−x1)
where, m = (y2−y1)/(x2−x1)
*/
if (first.getCoefficients() != null && first.getCoefficients().length > 0) {
/*
y = c0 + c1x
where c0, c1 are coefficients
c1 will not be present if slope is zero.
*/
Double y1 = first.getCoefficients()[0];
Double m = (first.getCoefficients().length > 1) ? first.getCoefficients()[1] : 0.0;
interpolatedValue = y1 + m * (requiredTs - timestamps[0]);
}
}
if (interpolatedValue != null && interpolatedValue >= 0.0) {
interpolatedValuesMap.put(requiredTs, interpolatedValue);
}
}
return interpolatedValuesMap;
}