 | Polynomial Class |
Class Polynomial represents a polynomial function as a vector of
coefficients.
Inheritance HierarchyNamespace: CenterSpace.NMath.Core
Assembly: NMath (in NMath.dll) Version: 7.4
SyntaxThe Polynomial type exposes the following members.
Constructors| Name | Description | |
|---|---|---|
 | Polynomial |
Constructs the zero polynomial, that is, the polynomial, p(x), that
satisfies p(x) = 0 for all x.
|
| Polynomial(Double) |
Constructs a Polynomial instance with the given coefficients.
|
| Polynomial(DoubleVector) |
Constructs a Polynomial instance with the given coefficients.
|
| Polynomial(SerializationInfo, StreamingContext) |
Constructs a Polynomial instance from serialization information.
|
| Polynomial(DoubleVector, DoubleVector) |
Constructs a polynomial which passes through the given set of points.
|
| Polynomial(DoubleVector, OneVariableFunction) |
Construct a polynomial that interpolates a function. If the number of interpolation
points is n, then the constructed polynomial, p(x), will be have
degree n - 1 and agree with the passed function at the passed interpolation
points. Specifically, p will satisfy p(interpolationPoints[i]) = function(interpolationPoints[i])
for each i = 0, 1,...,n.
|
Properties| Name | Description | |
|---|---|---|
 | Coeff |
Gets and sets the cofficients of this polynomial.
|
| Degree |
Gets the degree of the polynomial encapsulated by this object.
|
| Differentiator |
Gets and sets the differentiation method object associated with this function.
(Inherited from OneVariableFunction.) |
| Func |
Gets the function encapsulated by this object.
(Inherited from OneVariableFunction.) |
| Integrator |
Gets and sets the integration method object associated with this function.
(Inherited from OneVariableFunction.) |
Methods| Name | Description | |
|---|---|---|
 | Add(Double, Polynomial) |
Adds a polynomial and a scalar.
|
| Add(Polynomial, Polynomial) |
Adds two polynomials.
|
| Add(Polynomial, Double) |
Adds a polynomial and a scalar.
|
| AntiDerivative |
Returns the anti-derivative (indefinite integral) of this polynomial.
|
| Clone |
Creates a deep copy of this polynomial.
(Overrides OneVariableFunctionClone.) |
| Derivative |
Returns the first derivative of this polynomial.
|
| Differentiate |
Computes the numerical derivative of the current function at the given
x-value.
(Inherited from OneVariableFunction.) |
| Divide |
Divides a polynomial by a scalar.
|
| Equals |
Tests for equality of this polynomial and another polynomial. Two polynomials
are equal if their coefficient vectors have the same dimensions and all values are
equal.
(Overrides ObjectEquals(Object).) |
| Evaluate(Double) |
Evaluates the current function at the given x-value.
(Inherited from OneVariableFunction.) |
| Evaluate(DoubleVector) |
Evaluates the current function at the given set of x-values.
(Inherited from OneVariableFunction.) |
| Evaluate(OneVariableFunction) |
Creates a composite function.
(Inherited from OneVariableFunction.) |
| EvaluateComplex |
Evaluates the current function at the given complex x-value.
|
 | EvaluatePoly |
Evaluates the current function at the given x-value.
|
| GetHashCode |
Returns an integer hash code for this polynomial.
(Overrides ObjectGetHashCode.) |
| GetObjectData |
Implemented as part of the ISerializable interface. Serializes self
to a stream.
|
| Integrate |
Computes the integral of the current function over the specified
interval.
(Inherited from OneVariableFunction.) |
| Multiply(Double, Polynomial) |
Multiplies a polynomial and a scalar.
|
| Multiply(Polynomial, Polynomial) |
Multiplies two polynomials.
|
| Multiply(Polynomial, Double) |
Multiplies a scalar and a polynomial.
|
| Negate |
Negates a polynomial.
|
| PolynomialDivide |
Divides two polynomials to yield quotient and remainder Polynomials.
|
| Reduce |
Removes trailing zeros from the coefficient vector.
|
| Subtract(Double, Polynomial) |
Subtracts a polynomial from a scalar.
|
| Subtract(Polynomial, Polynomial) |
Subtracts a polynomial from a polynomial.
|
| Subtract(Polynomial, Double) |
Subtracts a scalar from a polynomial.
|
 | ToString |
Returns a formatted string representation of this polynomial.
(Overrides ObjectToString.) |
| ToString(String) |
Returns a formatted string representation of this polynomial using
specified numeric format.
|
Operators| Name | Description | |
|---|---|---|
 | Addition(Double, Polynomial) |
Adds a scalar and a polynomial.
|
| Addition(Polynomial, Polynomial) |
Adds two polynomials.
|
| Addition(Polynomial, Double) |
Adds a polynomial and a scalar.
|
| Division |
Divides a polynomial by a scalar.
|
| Equality |
Tests for equality of two polynomials. Two polynomials are equal
if their coefficient vector have the same dimensions and all values
are equal.
|
| Inequality |
Tests for inequality of two polynomials. Two polynomials are unequal
if their coefficient vectors have different dimensions or their values are not
all equal.
|
| Multiply(Double, Polynomial) |
Multiplies a scalar and a polynomial.
|
| Multiply(Polynomial, Polynomial) |
Multiplies two polynomials.
|
| Multiply(Polynomial, Double) |
Multiplies a polynomial and a scalar.
|
| Subtraction(Double, Polynomial) |
Adds a polynomial from a scalar.
|
| Subtraction(Polynomial, Polynomial) |
Subtracts a polynomial from another polynomial.
|
| Subtraction(Polynomial, Double) |
Subtracts a scalar from a polynomial.
|
| UnaryNegation |
Negates the polynomial.
|
Fields| Name | Description | |
|---|---|---|
 | differentiator_ | Differentiator (Inherited from OneVariableFunction.) |
| function_ | Captured function (Inherited from OneVariableFunction.) |
| integrator_ | Integrator (Inherited from OneVariableFunction.) |
See Also