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/*
Copyright 2016 Martin Buck
This file is part of rust-3d.
rust-3d is free software: you can redistribute it and/or modify
it under the terms of the GNU Lesser General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
rust-3d is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU Lesser General Public License for more details.
You should have received a copy of the GNU Lesser General Public License
along with rust-3d. If not, see <http://www.gnu.org/licenses/>.
*/
//! Is2D trait used for types which are positioned within the 2D space
use prelude::*;
use utils::max_f64_3;
/// Is2D is a trait used for types which are positioned within the 2D space
pub trait Is2D : IsND {
/// Should return the x-coordinate
fn x(&self) -> f64;
/// Should return the y-coordinate
fn y(&self) -> f64;
/// Returns the Position as x,y tuple
fn pos(&self) -> (f64, f64) {
( self.x(), self.y() )
}
/// Calculates the dot product with another Is2D
fn dot(&self, other: &Is2D) -> f64 {
self.x() * other.x() + self.y() * other.y()
}
/// Calculates the cross product with another Is2D
fn cross(&self, other: &Is2D) -> f64 {
self.x() * other.y() - self.y() * other.x()
}
/// The absolute / length of this position
fn abs(&self) -> NonNegative {
NonNegative::new(((self.x()).powi(2) + (self.y()).powi(2)).sqrt()).unwrap()
}
/// Calculates the angle to the other Is2D in radians
fn rad_to(&self, other: &Is2D) -> Rad {
Rad{val: (other.y() - self.y()).atan2(other.x() - self.x())}
}
/// Transforms the position in a "x y" string. E.g. "3.72 5.99"
fn to_str(&self) -> String {
let sx: String = self.x().to_string();
let sy: String = self.y().to_string();
sx + " " + &sy
}
}
impl<P> HasDistanceTo<P> for Is2D where
P: Is2D {
fn sqr_distance(&self, other: &P) -> NonNegative {
NonNegative::new((self.x() - other.x()).powi(2) + (self.y() - other.y()).powi(2)).unwrap()
}
}
impl HasDistanceTo<BoundingBox2D> for Is2D {
fn sqr_distance(&self, other: &BoundingBox2D) -> NonNegative {
let dx = max_f64_3(other.min_p().x() - self.x(), 0.0, self.x() - other.max_p().x());
let dy = max_f64_3(other.min_p().y() - self.y(), 0.0, self.y() - other.max_p().y());
NonNegative::new(dx*dx + dy*dy).unwrap()
}
}