Interface DoubleFunction1D
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- All Superinterfaces:
DoubleUnaryOperator
- All Known Implementing Classes:
RealPolynomialFunction1D
public interface DoubleFunction1D extends DoubleUnaryOperator
Defines a family of functions that take real arguments and return real values. The functionality ofFunction
is extended; this class allows arithmetic operations on functions and defines a derivative function.
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Method Summary
All Methods Static Methods Instance Methods Default Methods Modifier and Type Method Description default DoubleFunction1D
add(double a)
For a DoubleFunction1D $g(x)$, adding a constant $a$ returns the function $h(x) = g(x) + a$.default DoubleFunction1D
add(DoubleFunction1D f)
For a DoubleFunction1D $g(x)$, adding a function $f(x)$ returns the function $h(x) = f(x) + g(x)$.default DoubleFunction1D
derivative()
Returns a function that calculates the first derivative.default DoubleFunction1D
derivative(FiniteDifferenceType differenceType, double eps)
Returns a function that calculates the first derivative.default DoubleFunction1D
divide(double a)
For a DoubleFunction1D $g(x)$, dividing by a constant $a$ returns the function $h(x) = \frac{g(x)}{a}$.default DoubleFunction1D
divide(DoubleFunction1D f)
For a DoubleFunction1D $g(x)$, dividing by a function $f(x)$ returns the function $h(x) = \frac{g(x)}{f(x)}$.static DoubleFunction1D
from(Function<Double,Double> f)
Converts a Function<Double, Double> into a DoubleFunction1D.default DoubleFunction1D
multiply(double a)
For a DoubleFunction1D $g(x)$, multiplying by a constant $a$ returns the function $h(x) = a g(x)$.default DoubleFunction1D
multiply(DoubleFunction1D f)
For a DoubleFunction1D $g(x)$, multiplying by a function $f(x)$ returns the function $h(x) = f(x) g(x)$.default DoubleFunction1D
subtract(double a)
For a DoubleFunction1D $g(x)$, subtracting a constant $a$ returns the function $h(x) = g(x) - a$.default DoubleFunction1D
subtract(DoubleFunction1D f)
For a DoubleFunction1D $g(x)$, subtracting a function $f(x)$ returns the function $h(x) = f(x) - g(x)$.-
Methods inherited from interface java.util.function.DoubleUnaryOperator
andThen, applyAsDouble, compose
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Method Detail
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derivative
default DoubleFunction1D derivative()
Returns a function that calculates the first derivative.The method used is central finite difference, with $\epsilon = 10^{-5}$. Implementing classes can override this method to return a function that is the exact functional representation of the first derivative.
- Returns:
- a function that calculates the first derivative of this function
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derivative
default DoubleFunction1D derivative(FiniteDifferenceType differenceType, double eps)
Returns a function that calculates the first derivative. The method used is finite difference, with the differencing type and $\epsilon$ as arguments.- Parameters:
differenceType
- the differencing type to useeps
- the $\epsilon$ to use- Returns:
- a function that calculates the first derivative of this function
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add
default DoubleFunction1D add(DoubleFunction1D f)
For a DoubleFunction1D $g(x)$, adding a function $f(x)$ returns the function $h(x) = f(x) + g(x)$.- Parameters:
f
- the function to add- Returns:
- a function $h(x) = f(x) + g(x)$
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add
default DoubleFunction1D add(double a)
For a DoubleFunction1D $g(x)$, adding a constant $a$ returns the function $h(x) = g(x) + a$.- Parameters:
a
- the constant to add- Returns:
- a function $h(x) = g(x) + a$
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divide
default DoubleFunction1D divide(DoubleFunction1D f)
For a DoubleFunction1D $g(x)$, dividing by a function $f(x)$ returns the function $h(x) = \frac{g(x)}{f(x)}$.- Parameters:
f
- the function to divide by- Returns:
- a function $h(x) = \frac{f(x)}{g(x)}$
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divide
default DoubleFunction1D divide(double a)
For a DoubleFunction1D $g(x)$, dividing by a constant $a$ returns the function $h(x) = \frac{g(x)}{a}$.- Parameters:
a
- the constant to add- Returns:
- a function $h(x) = \frac{g(x)}{a}$
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multiply
default DoubleFunction1D multiply(DoubleFunction1D f)
For a DoubleFunction1D $g(x)$, multiplying by a function $f(x)$ returns the function $h(x) = f(x) g(x)$.- Parameters:
f
- the function to multiply by- Returns:
- a function $h(x) = f(x) g(x)$
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multiply
default DoubleFunction1D multiply(double a)
For a DoubleFunction1D $g(x)$, multiplying by a constant $a$ returns the function $h(x) = a g(x)$.- Parameters:
a
- the constant to add- Returns:
- a function $h(x) = a g(x)$
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subtract
default DoubleFunction1D subtract(DoubleFunction1D f)
For a DoubleFunction1D $g(x)$, subtracting a function $f(x)$ returns the function $h(x) = f(x) - g(x)$.- Parameters:
f
- the function to subtract- Returns:
- a function $h(x) = g(x) - f(x)$
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subtract
default DoubleFunction1D subtract(double a)
For a DoubleFunction1D $g(x)$, subtracting a constant $a$ returns the function $h(x) = g(x) - a$.- Parameters:
a
- the constant to add- Returns:
- a function $h(x) = g(x) - a$
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from
static DoubleFunction1D from(Function<Double,Double> f)
Converts a Function<Double, Double> into a DoubleFunction1D.- Parameters:
f
- the function to convert- Returns:
- the converted function
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