| Package | Description |
|---|---|
| org.apache.commons.math3.analysis |
Parent package for common numerical analysis procedures, including root finding,
function interpolation and integration.
|
| org.apache.commons.math3.analysis.differentiation |
This package holds the main interfaces and basic building block classes
dealing with differentiation.
|
| org.apache.commons.math3.analysis.function |
The
function package contains function objects that wrap the
methods contained in Math, as well as common
mathematical functions such as the gaussian and sinc functions. |
| org.apache.commons.math3.analysis.integration |
Numerical integration (quadrature) algorithms for univariate real functions.
|
| org.apache.commons.math3.analysis.integration.gauss |
Gauss family of quadrature schemes.
|
| org.apache.commons.math3.analysis.interpolation |
Univariate real functions interpolation algorithms.
|
| org.apache.commons.math3.analysis.polynomials |
Univariate real polynomials implementations, seen as differentiable
univariate real functions.
|
| org.apache.commons.math3.analysis.solvers |
Root finding algorithms, for univariate real functions.
|
| org.apache.commons.math3.linear |
Linear algebra support.
|
| org.apache.commons.math3.ml.neuralnet |
Neural networks.
|
| org.apache.commons.math3.optim.univariate |
One-dimensional optimization algorithms.
|
| org.apache.commons.math3.optimization.univariate |
Univariate real functions minimum finding algorithms.
|
| org.apache.commons.math3.special |
Implementations of special functions such as Beta and Gamma.
|
| org.apache.commons.math3.transform |
Implementations of transform methods, including Fast Fourier transforms.
|
| Modifier and Type | Interface and Description |
|---|---|
interface |
DifferentiableUnivariateFunction
Deprecated.
as of 3.1 replaced by
UnivariateDifferentiableFunction |
| Modifier and Type | Method and Description |
|---|---|
static UnivariateFunction |
FunctionUtils.add(UnivariateFunction... f)
Adds functions.
|
static UnivariateFunction |
FunctionUtils.combine(BivariateFunction combiner,
UnivariateFunction f,
UnivariateFunction g)
Returns the univariate function
h(x) = combiner(f(x), g(x)). |
static UnivariateFunction |
FunctionUtils.compose(UnivariateFunction... f)
Composes functions.
|
UnivariateFunction |
DifferentiableUnivariateFunction.derivative()
Deprecated.
Returns the derivative of the function
|
static UnivariateFunction |
FunctionUtils.fix1stArgument(BivariateFunction f,
double fixed)
Creates a unary function by fixing the first argument of a binary function.
|
static UnivariateFunction |
FunctionUtils.fix2ndArgument(BivariateFunction f,
double fixed)
Creates a unary function by fixing the second argument of a binary function.
|
static UnivariateFunction |
FunctionUtils.multiply(UnivariateFunction... f)
Multiplies functions.
|
| Modifier and Type | Method and Description |
|---|---|
static UnivariateFunction |
FunctionUtils.add(UnivariateFunction... f)
Adds functions.
|
static MultivariateFunction |
FunctionUtils.collector(BivariateFunction combiner,
UnivariateFunction f,
double initialValue)
Returns a MultivariateFunction h(x[]) defined by
|
static UnivariateFunction |
FunctionUtils.combine(BivariateFunction combiner,
UnivariateFunction f,
UnivariateFunction g)
Returns the univariate function
h(x) = combiner(f(x), g(x)). |
static UnivariateFunction |
FunctionUtils.compose(UnivariateFunction... f)
Composes functions.
|
static UnivariateFunction |
FunctionUtils.multiply(UnivariateFunction... f)
Multiplies functions.
|
static double[] |
FunctionUtils.sample(UnivariateFunction f,
double min,
double max,
int n)
Samples the specified univariate real function on the specified interval.
|
| Modifier and Type | Interface and Description |
|---|---|
interface |
UnivariateDifferentiableFunction
Interface for univariate functions derivatives.
|
| Modifier and Type | Method and Description |
|---|---|
UnivariateDifferentiableFunction |
FiniteDifferencesDifferentiator.differentiate(UnivariateFunction function)
Create an implementation of a
differential from a regular function. |
UnivariateDifferentiableFunction |
UnivariateFunctionDifferentiator.differentiate(UnivariateFunction function)
Create an implementation of a
differential from a regular function. |
| Modifier and Type | Class and Description |
|---|---|
class |
Abs
Absolute value function.
|
class |
Acos
Arc-cosine function.
|
class |
Acosh
Hyperbolic arc-cosine function.
|
class |
Asin
Arc-sine function.
|
class |
Asinh
Hyperbolic arc-sine function.
|
class |
Atan
Arc-tangent function.
|
class |
Atanh
Hyperbolic arc-tangent function.
|
class |
Cbrt
Cube root function.
|
class |
Ceil
ceil function. |
class |
Constant
Constant function.
|
class |
Cos
Cosine function.
|
class |
Cosh
Hyperbolic cosine function.
|
class |
Exp
Exponential function.
|
class |
Expm1
ex-1 function. |
class |
Floor
floor function. |
class |
Gaussian
Gaussian function.
|
class |
HarmonicOscillator
simple harmonic oscillator function.
|
class |
Identity
Identity function.
|
class |
Inverse
Inverse function.
|
class |
Log
Natural logarithm function.
|
class |
Log10
Base 10 logarithm function.
|
class |
Log1p
log(1 + p) function. |
class |
Logistic
Generalised logistic function.
|
class |
Logit
Logit function.
|
class |
Minus
Minus function.
|
class |
Power
Power function.
|
class |
Rint
rint function. |
class |
Sigmoid
Sigmoid function.
|
class |
Signum
signum function. |
class |
Sin
Sine function.
|
class |
Sinc
Sinc function,
defined by
|
class |
Sinh
Hyperbolic sine function.
|
class |
Sqrt
Square-root function.
|
class |
StepFunction
|
class |
Tan
Tangent function.
|
class |
Tanh
Hyperbolic tangent function.
|
class |
Ulp
ulp function. |
| Modifier and Type | Method and Description |
|---|---|
double |
UnivariateIntegrator.integrate(int maxEval,
UnivariateFunction f,
double min,
double max)
Integrate the function in the given interval.
|
double |
BaseAbstractUnivariateIntegrator.integrate(int maxEval,
UnivariateFunction f,
double lower,
double upper)
Integrate the function in the given interval.
|
protected void |
BaseAbstractUnivariateIntegrator.setup(int maxEval,
UnivariateFunction f,
double lower,
double upper)
Prepare for computation.
|
| Modifier and Type | Method and Description |
|---|---|
double |
SymmetricGaussIntegrator.integrate(UnivariateFunction f)
Returns an estimate of the integral of
f(x) * w(x),
where w is a weight function that depends on the actual
flavor of the Gauss integration scheme. |
double |
GaussIntegrator.integrate(UnivariateFunction f)
Returns an estimate of the integral of
f(x) * w(x),
where w is a weight function that depends on the actual
flavor of the Gauss integration scheme. |
| Modifier and Type | Method and Description |
|---|---|
UnivariateFunction |
UnivariatePeriodicInterpolator.interpolate(double[] xval,
double[] yval)
Compute an interpolating function for the dataset.
|
UnivariateFunction |
UnivariateInterpolator.interpolate(double[] xval,
double[] yval)
Compute an interpolating function for the dataset.
|
| Modifier and Type | Class and Description |
|---|---|
class |
PolynomialFunction
Immutable representation of a real polynomial function with real coefficients.
|
class |
PolynomialFunctionLagrangeForm
Implements the representation of a real polynomial function in
Lagrange Form.
|
class |
PolynomialFunctionNewtonForm
Implements the representation of a real polynomial function in
Newton Form.
|
class |
PolynomialSplineFunction
Represents a polynomial spline function.
|
| Modifier and Type | Method and Description |
|---|---|
UnivariateFunction |
PolynomialSplineFunction.derivative()
Get the derivative of the polynomial spline function.
|
UnivariateFunction |
PolynomialFunction.derivative()
Returns the derivative as a
UnivariateFunction. |
| Modifier and Type | Class and Description |
|---|---|
class |
BaseAbstractUnivariateSolver<FUNC extends UnivariateFunction>
Provide a default implementation for several functions useful to generic
solvers.
|
interface |
BaseUnivariateSolver<FUNC extends UnivariateFunction>
Interface for (univariate real) rootfinding algorithms.
|
interface |
BracketedUnivariateSolver<FUNC extends UnivariateFunction>
Interface for
(univariate real) root-finding
algorithms that maintain a bracketed solution. |
| Modifier and Type | Method and Description |
|---|---|
static double[] |
UnivariateSolverUtils.bracket(UnivariateFunction function,
double initial,
double lowerBound,
double upperBound)
This method simply calls
bracket(function, initial, lowerBound, upperBound, q, r, maximumIterations)
with q and r set to 1.0 and maximumIterations set to Integer.MAX_VALUE. |
static double[] |
UnivariateSolverUtils.bracket(UnivariateFunction function,
double initial,
double lowerBound,
double upperBound,
double q,
double r,
int maximumIterations)
This method attempts to find two values a and b satisfying
lowerBound <= a < initial < b <= upperBound
f(a) * f(b) <= 0
If f is continuous on [a,b], this means that a
and b bracket a root of f. |
static double[] |
UnivariateSolverUtils.bracket(UnivariateFunction function,
double initial,
double lowerBound,
double upperBound,
int maximumIterations)
This method simply calls
bracket(function, initial, lowerBound, upperBound, q, r, maximumIterations)
with q and r set to 1.0. |
static double |
UnivariateSolverUtils.forceSide(int maxEval,
UnivariateFunction f,
BracketedUnivariateSolver<UnivariateFunction> bracketing,
double baseRoot,
double min,
double max,
AllowedSolution allowedSolution)
Force a root found by a non-bracketing solver to lie on a specified side,
as if the solver were a bracketing one.
|
static boolean |
UnivariateSolverUtils.isBracketing(UnivariateFunction function,
double lower,
double upper)
Check whether the interval bounds bracket a root.
|
double |
BracketingNthOrderBrentSolver.solve(int maxEval,
UnivariateFunction f,
double min,
double max,
AllowedSolution allowedSolution)
Solve for a zero in the given interval.
|
double |
BaseSecantSolver.solve(int maxEval,
UnivariateFunction f,
double min,
double max,
AllowedSolution allowedSolution)
Solve for a zero in the given interval.
|
double |
BaseSecantSolver.solve(int maxEval,
UnivariateFunction f,
double min,
double max,
double startValue)
Solve for a zero in the given interval, start at
startValue. |
double |
BracketingNthOrderBrentSolver.solve(int maxEval,
UnivariateFunction f,
double min,
double max,
double startValue,
AllowedSolution allowedSolution)
Solve for a zero in the given interval, start at
startValue. |
double |
BaseSecantSolver.solve(int maxEval,
UnivariateFunction f,
double min,
double max,
double startValue,
AllowedSolution allowedSolution)
Solve for a zero in the given interval, start at
startValue. |
static double |
UnivariateSolverUtils.solve(UnivariateFunction function,
double x0,
double x1)
Convenience method to find a zero of a univariate real function.
|
static double |
UnivariateSolverUtils.solve(UnivariateFunction function,
double x0,
double x1,
double absoluteAccuracy)
Convenience method to find a zero of a univariate real function.
|
static void |
UnivariateSolverUtils.verifyBracketing(UnivariateFunction function,
double lower,
double upper)
Check that the endpoints specify an interval and the end points
bracket a root.
|
| Modifier and Type | Method and Description |
|---|---|
static double |
UnivariateSolverUtils.forceSide(int maxEval,
UnivariateFunction f,
BracketedUnivariateSolver<UnivariateFunction> bracketing,
double baseRoot,
double min,
double max,
AllowedSolution allowedSolution)
Force a root found by a non-bracketing solver to lie on a specified side,
as if the solver were a bracketing one.
|
| Modifier and Type | Method and Description |
|---|---|
RealVector |
RealVector.map(UnivariateFunction function)
Acts as if implemented as:
|
ArrayRealVector |
ArrayRealVector.map(UnivariateFunction function)
Acts as if implemented as:
|
RealVector |
RealVector.mapToSelf(UnivariateFunction function)
Acts as if it is implemented as:
|
ArrayRealVector |
ArrayRealVector.mapToSelf(UnivariateFunction function)
Acts as if it is implemented as:
|
| Modifier and Type | Method and Description |
|---|---|
static FeatureInitializer |
FeatureInitializerFactory.function(UnivariateFunction f,
double init,
double inc)
Creates an initializer from a univariate function
f(x). |
| Modifier and Type | Method and Description |
|---|---|
UnivariateFunction |
UnivariateObjectiveFunction.getObjectiveFunction()
Gets the function to be optimized.
|
| Modifier and Type | Method and Description |
|---|---|
void |
BracketFinder.search(UnivariateFunction func,
GoalType goal,
double xA,
double xB)
Search new points that bracket a local optimum of the function.
|
| Constructor and Description |
|---|
UnivariateObjectiveFunction(UnivariateFunction f) |
| Modifier and Type | Interface and Description |
|---|---|
interface |
BaseUnivariateOptimizer<FUNC extends UnivariateFunction>
Deprecated.
As of 3.1 (to be removed in 4.0).
|
class |
UnivariateMultiStartOptimizer<FUNC extends UnivariateFunction>
Deprecated.
As of 3.1 (to be removed in 4.0).
|
| Modifier and Type | Method and Description |
|---|---|
UnivariatePointValuePair |
BaseAbstractUnivariateOptimizer.optimize(int maxEval,
UnivariateFunction f,
GoalType goalType,
double min,
double max)
Deprecated.
Find an optimum in the given interval.
|
UnivariatePointValuePair |
BaseAbstractUnivariateOptimizer.optimize(int maxEval,
UnivariateFunction f,
GoalType goalType,
double min,
double max,
double startValue)
Deprecated.
Find an optimum in the given interval, start at startValue.
|
void |
BracketFinder.search(UnivariateFunction func,
GoalType goal,
double xA,
double xB)
Deprecated.
Search new points that bracket a local optimum of the function.
|
| Modifier and Type | Class and Description |
|---|---|
class |
BesselJ
This class provides computation methods related to Bessel
functions of the first kind.
|
| Modifier and Type | Method and Description |
|---|---|
Complex[] |
FastFourierTransformer.transform(UnivariateFunction f,
double min,
double max,
int n,
TransformType type)
Returns the (forward, inverse) transform of the specified real function,
sampled on the specified interval.
|
double[] |
FastHadamardTransformer.transform(UnivariateFunction f,
double min,
double max,
int n,
TransformType type)
Returns the (forward, inverse) transform of the specified real function,
sampled on the specified interval.
|
double[] |
FastSineTransformer.transform(UnivariateFunction f,
double min,
double max,
int n,
TransformType type)
Returns the (forward, inverse) transform of the specified real function,
sampled on the specified interval.
|
double[] |
RealTransformer.transform(UnivariateFunction f,
double min,
double max,
int n,
TransformType type)
Returns the (forward, inverse) transform of the specified real function,
sampled on the specified interval.
|
double[] |
FastCosineTransformer.transform(UnivariateFunction f,
double min,
double max,
int n,
TransformType type)
Returns the (forward, inverse) transform of the specified real function,
sampled on the specified interval.
|
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