Polynomial class - advance_math library

Constructors

Polynomial(List coefficients, {Variable? variable})
Polynomial.fromString(String source, {Variable? variable}): Creates a Polynomial instance from a string representation of a Polynomial.
factory

Properties

coefficients → List<Expression>: final
degree → int: Get the degree of the Polynomial
no setter
hashCode → int: The hash code for this object.
no setteroverride
polynomial ↔ Polynomial: getter/setter pair
runtimeType → Type: A representation of the runtime type of the object.
no setterinherited
variable → Variable: final

Methods

coefficient(int degree) → dynamic: Returns the coefficient of the Polynomial whose degree is degree.
depth() → int: Calculate the depth of the expression tree.
override
differentiate([Variable? v]) → Expression: Returns the derivative of the quadratic equation.
override
discriminant() → dynamic
evaluate([dynamic x]) → dynamic: Evaluates the Polynomial for a given x value.
override
expand() → Expression: Expands the expression, if applicable, and returns a new expanded expression.
override
factorize() → List<Polynomial>: Returns a list of polynomial factors derived from the complex roots of a polynomial.
factorizeString() → String: Returns a list of string polynomial factors derived from the complex roots of a polynomial.
gcd(Polynomial other) → Polynomial: Calculates the Greatest Common Divisor of two polynomials.
getVariables() → Set<Variable>: Retrieves the base variables present in the expression, effectively decomposing composite variables into their constituent parts. For instance, for an expression containing x^2, it returns x, and for x*y, it returns both x and y.
inherited
getVariableTerms() → Set<Variable>: Retrieves all variables present in the expression, including composite variables like x^2 or x*y.
override
integrate([dynamic start, dynamic end]) → Expression: Returns the integral of the Polynomial equation from 0 to x.
override
isIndeterminate(dynamic x) → bool: override
isInfinity(dynamic x) → bool: Simplified. Check if the evaluation at x is infinite.
override
isPoly([bool strict = false]) → bool: Checks if the expression is a polynomial.
override
lcm(Polynomial other) → Polynomial: Calculates the Least Common Multiple of two polynomials.
noSuchMethod(Invocation invocation) → dynamic: Invoked when a nonexistent method or property is accessed.
inherited
roots() → List
simplify() → Polynomial: Simplify the Polynomial using factoring by grouping and difference of squares. This is a placeholder and should be replaced with actual implementation. Return a new simplified Polynomial
override
simplifyBasic() → Expression: Performs basic simplification (arithmetic, combining like terms).
inherited
size() → int: Compute the size of the expression based on the number of nodes in its tree.
override
substitute(Expression oldExpr, Expression newExpr) → Expression: Replace a sub-expression or a variable with another expression.
override
toString([bool useUnicode = true]) → String: Returns the string representation of the expression.
override

Operators

operator %(dynamic other) → Expression: Modulo operator. Creates a Modulo expression.
override
operator *(dynamic other) → Expression: Multiply operator. Creates a Multiply expression.
override
operator +(dynamic other) → Expression: Add operator. Creates an Add expression.
override
operator -(dynamic other) → Expression: Subtract operator. Creates a Subtract expression.
override
operator /(dynamic other) → Expression: Divide operator. Creates a Divide expression.
override
operator ==(Object other) → bool: The equality operator.
override
operator [](int index) → dynamic: Returns the coefficient of the Polynomial at the given index position. For example:
operator ^(dynamic other) → Expression: Power operator. Creates a Pow expression.
inherited

Static Methods

fromList(List coefficientList, {Variable? variable}) → Polynomial: Constructs a Polynomial from a list of coefficients.
isPolynomial(String expression, {String varName = 'x'}) → bool: Check if an expression is a polynomial