public class Summation
extends java.lang.Object
implements java.io.Serializable
Summation.Terms, xi, we have
\[
S = \sum (x_i)
\]
If a threshold is specified, the summation is treated as a convergent series.
The summing process stops after \(x_i < \texttt{threshold}\).
Sample usages:
Summation series = new Summation(new Summation.Term() {
public double evaluate(double i) {
return i;
}
});
double sum = series.sum(1, 100);
Summation series = new Summation(new Summation.Term() {
public double evaluate(double i) {
return 1d / i;
}
}, 0.0001);
double sum = series.sumToInfinity(1);
| Modifier and Type | Class and Description |
|---|---|
static interface |
Summation.Term
Define the terms in a summation series.
|
| Constructor and Description |
|---|
Summation(Summation.Term term)
Construct a finite summation series.
|
Summation(Summation.Term term,
double threshold)
Construct a summation series.
|
| Modifier and Type | Method and Description |
|---|---|
double |
sum(double[] indices)
Partial summation of the selected terms.
|
double |
sum(double from,
double to,
double inc)
Sum up the terms from
from to to with the increment inc. |
double |
sum(int from,
int to)
Sum up the terms from
from to to with the increment 1. |
double |
sum(int from,
int to,
int inc)
Sum up the terms from
from to to with the increment inc. |
double |
sumToInfinity(double from,
double inc)
Sum up the terms from
from to infinity with increment inc until the series converges. |
double |
sumToInfinity(int from)
Sum up the terms from
from to infinity with increment 1 until the series converges. |
public Summation(Summation.Term term, double threshold)
threshold for all terms after a certain index.term - the terms to sum upthreshold - the convergence threshold. When a term falls below it, the summing process stops. For a finite summation, it should be set to 0.public Summation(Summation.Term term)
term - the terms to sum uppublic double sum(int from,
int to)
from to to with the increment 1.from - the starting indexto - the ending index (inclusive)public double sum(int from,
int to,
int inc)
from to to with the increment inc.from - the starting indexto - the ending index (inclusive)inc - the incrementpublic double sum(double from,
double to,
double inc)
from to to with the increment inc.from - the starting indexto - the ending index (inclusive)inc - the incrementpublic double sum(double[] indices)
indices - the indices to the selected termspublic double sumToInfinity(int from)
from to infinity with increment 1 until the series converges.from - the starting indexpublic double sumToInfinity(double from,
double inc)
from to infinity with increment inc until the series converges.from - the starting indexinc - the increment