Struct ParametricCurveAnalysis 

pub struct ParametricCurveAnalysis;

Parametric curve analysis

Implementations

impl ParametricCurveAnalysis

pub fn critical_points( x_param: &Expression, y_param: &Expression, parameter: Symbol, ) -> Vec<Expression>

Find critical points where dy/dx = 0 or undefined

Examples

use mathhook_core::{Expression};
use mathhook_core::symbol;
use mathhook_core::calculus::derivatives::ParametricCurveAnalysis;

let t = symbol!(t);
let x_param = Expression::pow(Expression::symbol(t.clone()), Expression::integer(2));
let y_param = Expression::pow(Expression::symbol(t.clone()), Expression::integer(3));
let critical_t = ParametricCurveAnalysis::critical_points(&x_param, &y_param, t);

pub fn tangent_vector( x_param: &Expression, y_param: &Expression, parameter: Symbol, ) -> (Expression, Expression)

Analyze tangent vector at parameter value

Examples

use mathhook_core::{Expression};
use mathhook_core::symbol;
use mathhook_core::calculus::derivatives::ParametricCurveAnalysis;

let t = symbol!(t);
let x_param = Expression::symbol(t.clone());
let y_param = Expression::pow(Expression::symbol(t.clone()), Expression::integer(2));
let tangent = ParametricCurveAnalysis::tangent_vector(&x_param, &y_param, t);