Struct ImplicitCurveAnalysis 

pub struct ImplicitCurveAnalysis;

Implicit curve analysis

Implementations

impl ImplicitCurveAnalysis

pub fn critical_points( curve: &Expression, x_var: Symbol, y_var: Symbol, ) -> Vec<(Expression, Expression)>

Find critical points of implicitly defined curves

Examples

use mathhook_core::{expr, symbol};
use mathhook_core::calculus::derivatives::ImplicitCurveAnalysis;

let x = symbol!(x);
let y = symbol!(y);
let curve = expr!((x^2) + (y^2));
let critical_points = ImplicitCurveAnalysis::critical_points(&curve, x, y);

pub fn concavity(curve: &Expression, x_var: Symbol, y_var: Symbol) -> Expression

Analyze concavity of implicit curves

Examples

use mathhook_core::{expr, symbol};
use mathhook_core::calculus::derivatives::ImplicitCurveAnalysis;

let x = symbol!(x);
let y = symbol!(y);
let curve = expr!(x^2);
let concavity = ImplicitCurveAnalysis::concavity(&curve, x, y);