Represents the identity function \(f(x)=x\). More...
Public Member Functions | |
| double | evaluate (double x) |
| Returns the value of the function evaluated at \(x\). | |
| double | derivative (double x) |
| Computes (or estimates) the first derivative of the function at point x. | |
| double | derivative (double x, int n) |
| Computes (or estimates) the \(n\)th derivative of the function at point x. | |
| double | integral (double a, double b) |
| Computes (or estimates) the integral of the function over the interval \([a,
b]\). | |
Detailed Description
Represents the identity function \(f(x)=x\).
Definition at line 32 of file IdentityMathFunction.java.
Member Function Documentation
◆ derivative() [1/2]
| double umontreal.ssj.functions.IdentityMathFunction.derivative | ( | double | x | ) |
Computes (or estimates) the first derivative of the function at point x.
- Parameters
-
x the point to evaluate the derivative to.
- Returns
- the value of the derivative.
Implements umontreal.ssj.functions.MathFunctionWithFirstDerivative.
Definition at line 39 of file IdentityMathFunction.java.
◆ derivative() [2/2]
| double umontreal.ssj.functions.IdentityMathFunction.derivative | ( | double | x, |
| int | n ) |
Computes (or estimates) the \(n\)th derivative of the function at point x.
For \(n=0\), this returns the result of umontreal.ssj.functions.MathFunction.evaluate(double).
- Parameters
-
x the point to evaluate the derivate to. n the order of the derivative.
- Returns
- the resulting derivative.
- Exceptions
-
IllegalArgumentException if `n` is negative or 0.
Implements umontreal.ssj.functions.MathFunctionWithDerivative.
Definition at line 43 of file IdentityMathFunction.java.
◆ evaluate()
| double umontreal.ssj.functions.IdentityMathFunction.evaluate | ( | double | x | ) |
Returns the value of the function evaluated at \(x\).
- Parameters
-
x value at which the function is evaluated
- Returns
- function evaluated at x
Implements umontreal.ssj.functions.MathFunction.
Definition at line 35 of file IdentityMathFunction.java.
◆ integral()
| double umontreal.ssj.functions.IdentityMathFunction.integral | ( | double | a, |
| double | b ) |
Computes (or estimates) the integral of the function over the interval \([a, b]\).
- Parameters
-
a the starting point of the interval. b the ending point of the interval.
- Returns
- the value of the integral.
Implements umontreal.ssj.functions.MathFunctionWithIntegral.
Definition at line 47 of file IdentityMathFunction.java.
The documentation for this class was generated from the following file:
- src/main/java/umontreal/ssj/functions/IdentityMathFunction.java
