Struct PolynomialSolver 

pub struct PolynomialSolver;

Polynomial equation solver

Implementations

impl PolynomialSolver

pub fn new() -> Self

pub fn find_polynomial_degree(expr: &Expression, variable: &Symbol) -> u32

Find the degree of polynomial in given variable Static helper function for recursive degree calculation. Does not require instance state, only performs expression traversal.

pub fn solve_cubic( &self, equation: &Expression, variable: &Symbol, ) -> SolverResult

Solve cubic equation (simplified implementation)

pub fn solve_cubic_rational_root_theorem( &self, equation: &Expression, variable: &Symbol, ) -> SolverResult

Try to solve cubic using rational root theorem

pub fn solve_quartic( &self, equation: &Expression, variable: &Symbol, ) -> SolverResult

Solve quartic equation (simplified implementation)

pub fn solve_quartic_rational_root_theorem( &self, equation: &Expression, variable: &Symbol, ) -> SolverResult

Try to solve quartic using rational root theorem

pub fn evaluate_polynomial_at( &self, poly: &Expression, variable: &Symbol, value: &Expression, ) -> Expression

Evaluate polynomial at specific value

pub fn substitute_variable( expr: &Expression, variable: &Symbol, value: &Expression, ) -> Expression

Substitute variable with value in expression

Static helper function for recursive substitution. Does not require instance state, only performs expression traversal and replacement.

pub fn extract_constant_and_leading( &self, poly: &Expression, _variable: &Symbol, ) -> (i64, i64)

Extract constant term and leading coefficient from polynomial

pub fn get_divisors(&self, n: i64) -> Vec<i64>

Get all divisors of a number

Trait Implementations

impl Clone for PolynomialSolver

fn clone(&self) -> PolynomialSolver

Returns a duplicate of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl Debug for PolynomialSolver

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.

impl Default for PolynomialSolver

fn default() -> Self

Returns the “default value” for a type.

impl EquationSolver for PolynomialSolver

fn solve(&self, equation: &Expression, variable: &Symbol) -> SolverResult

Solve equation for given variable

fn solve_with_explanation( &self, equation: &Expression, variable: &Symbol, ) -> (SolverResult, StepByStepExplanation)

Solve with step-by-step explanation

fn can_solve(&self, equation: &Expression) -> bool

Check if solver can handle this equation type