Struct lib_rapid::math::equations::quadratic::QuadraticEquation

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pub struct QuadraticEquation<T> { /* private fields */ }

Expand description

A struct for storing quadratic equations of the form f(x) = ax² + bx + c.

Implementations§

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impl<T: Copy + Clone + From<u8> + TryFrom<f64> + PartialEq + PartialOrd + NumTools<T> + Mul<Output = T> + Add<Output = T> + Sub<Output = T> + Div<Output = T> + Neg<Output = T>> QuadraticEquation<T>
where <T as TryFrom<f64>>::Error: Debug, f64: From<T>,

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pub fn new() -> QuadraticEquation<T>

Create a new QuadraticEquation with the values a = 1, b = 0, c = 0.

Examples

use lib_rapid::math::equations::quadratic::QuadraticEquation;
 
let mut f_x = QuadraticEquation::new_from_coefficients(1.0, 0.0, 0.0);
f_x.get_vertex();
f_x.get_solutions();
 
assert_eq!(QuadraticEquation::new(), f_x);

use lib_rapid::math::equations::quadratic::QuadraticEquation;
 
let mut f_x = QuadraticEquation::new_from_coefficients(1.0, 0.0, -1.5);
 
assert_eq!("1x^2 + 0x - 1.5", &f_x.to_string());

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pub fn new_from_coefficients(a: T, b: T, c: T) -> QuadraticEquation<T>

Create a new QuadraticEquation from coefficients.

Examples

use lib_rapid::math::equations::quadratic::QuadraticEquation;
 
let mut f_x = QuadraticEquation::new_from_coefficients(1.0, 0.0, 0.0);
f_x.get_vertex();
f_x.get_solutions();
 
assert_eq!(QuadraticEquation::new(), f_x);

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pub fn a(&self) -> T

Get a of a QuadraticEquation.

Returns

A T.

Examples

use lib_rapid::math::equations::quadratic::QuadraticEquation;
 
let mut f_x = QuadraticEquation::new_from_coefficients(1.0, -2.0, -3.0);
 
assert_eq!(-2.0, f_x.b());

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pub fn b(&self) -> T

Get b of a QuadraticEquation.

Returns

A T.

Examples

use lib_rapid::math::equations::quadratic::QuadraticEquation;
 
let mut f_x = QuadraticEquation::new_from_coefficients(1.0, -2.0, -3.0);
 
assert_eq!(-2.0, f_x.b());

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pub fn c(&self) -> T

Get c of a QuadraticEquation.

Returns

A T.

Examples

use lib_rapid::math::equations::quadratic::QuadraticEquation;
 
let mut f_x = QuadraticEquation::new_from_coefficients(1.0, -2.0, -3.0);
 
assert_eq!(-3.0, f_x.c());

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pub fn set_a(&mut self, value: T)

Set c of a QuadraticEquation.

Panics

Panics if value is zero.

Examples

use lib_rapid::math::equations::quadratic::QuadraticEquation;
 
let mut f_x = QuadraticEquation::new_from_coefficients(1.0, -2.0, -3.0);
 
assert_eq!(1.0, f_x.a());
 
f_x.set_a(-1.0);
 
assert_eq!(-1.0, f_x.a());

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pub fn set_b(&mut self, value: T)

Set b of a QuadraticEquation.

Examples

use lib_rapid::math::equations::quadratic::QuadraticEquation;
 
let mut f_x = QuadraticEquation::new_from_coefficients(1.0, -2.0, -3.0);
 
assert_eq!(-2.0, f_x.b());
 
f_x.set_b(-1.0);
 
assert_eq!(-1.0, f_x.b());

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pub fn set_c(&mut self, value: T)

Set c of a QuadraticEquation.

Examples

use lib_rapid::math::equations::quadratic::QuadraticEquation;
 
let mut f_x = QuadraticEquation::new_from_coefficients(1.0, -2.0, -3.0);
 
assert_eq!(-3.0, f_x.c());
 
f_x.set_c(-1.0);
 
assert_eq!(-1.0, f_x.c());

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pub fn get_solutions(&mut self) -> (Option<T>, Option<T>)

Get the solutions of a quadratic equation.

Returns

A (Option<T>, Option<T>).

Examples

use lib_rapid::math::equations::quadratic::QuadraticEquation;
 
let mut f_x = QuadraticEquation::new_from_coefficients(1.0, -2.0, -3.0);
 
assert_eq!((Some(3.0), Some(-1.0)), f_x.get_solutions());

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pub fn intsect_with( &self, other: &QuadraticEquation<T> ) -> (Option<(T, T)>, Option<(T, T)>)

Get the intersection point(s) between self and other. Returns (None, None) if both arguments are equal.

Arguments

self.
other: &QuadraticEquation.

Returns

A (Option<(T, T)>, Option<(T, T)>) tuple.

use lib_rapid::math::equations::quadratic::QuadraticEquation;
 
let mut f_x = QuadraticEquation::new_from_coefficients(1.0, 2.0, 0.0);
let mut g_x = QuadraticEquation::new_from_coefficients(1.0, 2.0, 0.0);
let mut h_x = QuadraticEquation::new_from_coefficients(0.5, 1.0, 0.0);
 
assert_eq!( (None, None), f_x.intsect_with(&g_x));
assert_eq!( (Some( (0.0, 0.0) ), Some( (-2.0, 0.0) )), g_x.intsect_with(&h_x) );

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pub fn intsect_with_linear( &self, other: &LinearEquation<T> ) -> (Option<(T, T)>, Option<(T, T)>)

Get the intersection point(s) between self and a linear equation if there is some.

Arguments

self.
other: &LinearEquation.

Returns

A (Option<(T, T)>, Option<(T, T)>) tuple.

use lib_rapid::math::equations::linear::LinearEquation;
use lib_rapid::math::equations::quadratic::QuadraticEquation;
 
let mut f_x = LinearEquation::new(2.0, 2.0);
let mut g_x = QuadraticEquation::new_from_coefficients(1.2, 2.0, -2.0);
 
assert_eq!( ( Some((1.8257418583505536, 5.651483716701107)),
              Some((-1.8257418583505536, -1.6514837167011072)) ),
            g_x.intsect_with_linear(&f_x));

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pub fn get_vertex(&mut self) -> (T, T)

Get the vertex (lowest or highest point) of a quadratic equation.

Returns

A (T, T).

Examples

use lib_rapid::math::equations::quadratic::QuadraticEquation;
 
let mut f_x = QuadraticEquation::new_from_coefficients(1.0, -2.0, 3.0);
 
assert_eq!((1.0, 2.0), f_x.get_vertex());

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pub fn eval(&self, x: T) -> T

Get the value of a value x under the function of the QuadraticEquation.

Returns

A T.

Examples

use lib_rapid::math::equations::quadratic::QuadraticEquation;
 
let f_x = QuadraticEquation::new_from_coefficients(1.0, -2.0, 3.0);
 
assert_eq!(2.0, f_x.eval(1.0));

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pub fn get_derivative(&mut self) -> LinearEquation<T>

Get the derivative of a QuadraticEquation<T>. The derivative is the graph of the development of the slope for a given function self.

Returns

A LinearEquation<T>.

Examples

use lib_rapid::math::equations::quadratic::QuadraticEquation;
use lib_rapid::math::equations::linear::LinearEquation;
 
let mut f_x = QuadraticEquation::new_from_coefficients(1.0, -2.0, 3.0);
 
assert_eq!(LinearEquation::new(2.0, -2.0), f_x.get_derivative());