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// Copyright 2018-2020 Stefan Kroboth
//
// Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or
// http://apache.org/licenses/LICENSE-2.0> or the MIT license <LICENSE-MIT or
// http://opensource.org/licenses/MIT>, at your option. This file may not be
// copied, modified, or distributed except according to those terms.

use crate::SphrsFloat;

/// SHCoordinates trait
pub trait SHCoordinates<T> {
    /// Return `theta`
    fn theta(&self) -> T;
    /// Return `phi`
    fn phi(&self) -> T;
    /// Return `r`
    fn r(&self) -> T;
    /// Return `x`
    fn x(&self) -> T;
    /// Return `y`
    fn y(&self) -> T;
    /// Return `z`
    fn z(&self) -> T;
    /// Return `cos(theta)`
    fn theta_cos(&self) -> T;
}

/// Coordinates struct
#[derive(Default, Clone, Debug)]
pub struct Coordinates<T> {
    /// radius (spherical coordinates)
    r: T,
    /// theta (spherical coordinates)
    theta: T,
    /// phi (spherical coordinates)
    phi: T,
    /// x (cartesian coordinates)
    x: T,
    /// y (cartesian coordinates)
    y: T,
    /// z (cartesian coordinates)
    z: T,
    /// cos(theta)
    theta_cos: T,
}

impl<T> Coordinates<T>
where
    T: SphrsFloat,
{
    /// Create `Coordinates` struct from cartesian coordinates
    pub fn cartesian<U: Into<T>>(x: U, y: U, z: U) -> Self {
        let x: T = x.into();
        let y: T = y.into();
        let z: T = z.into();
        let r = (x.powi(2) + y.powi(2) + z.powi(2)).sqrt();
        let theta = (z / r).acos();
        let phi = y.atan2(x);

        let theta_cos = theta.cos();
        Coordinates {
            r,
            theta,
            phi,
            x,
            y,
            z,
            theta_cos,
        }
    }

    /// Create `Coordinates` struct from spherical coordinates
    pub fn spherical<U: Into<T>>(r: U, theta: U, phi: U) -> Self {
        let r: T = r.into();
        let theta: T = theta.into();
        let phi: T = phi.into();
        let x = r * theta.sin() * phi.cos();
        let y = r * theta.sin() * phi.sin();
        let theta_cos = theta.cos();
        let z = r * theta_cos;
        Coordinates {
            r,
            theta,
            phi,
            x,
            y,
            z,
            theta_cos,
        }
    }
}

impl<T> SHCoordinates<T> for Coordinates<T>
where
    T: SphrsFloat,
{
    #[inline]
    fn theta(&self) -> T {
        self.theta
    }

    #[inline]
    fn phi(&self) -> T {
        self.phi
    }

    #[inline]
    fn r(&self) -> T {
        self.r
    }

    #[inline]
    fn x(&self) -> T {
        self.x
    }

    #[inline]
    fn y(&self) -> T {
        self.y
    }

    #[inline]
    fn z(&self) -> T {
        self.z
    }

    #[inline]
    fn theta_cos(&self) -> T {
        self.theta_cos
    }
}