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/* Copyright 2016 Martin Buck Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. */ //! Is3D trait used for types which are positioned within the 3D space use crate::*; //------------------------------------------------------------------------------ /// Is3D is a trait used for types which are positioned within the 3D space pub trait Is3D: IsND { /// Should return the x-coordinate fn x(&self) -> f64; /// Should return the y-coordinate fn y(&self) -> f64; /// Should return the z-coordinate fn z(&self) -> f64; /// Returns the position as x,y,z array #[inline(always)] fn xyz(&self) -> [f64; 3] { [self.x(), self.y(), self.z()] } /// Returns the components of the position as array #[inline(always)] fn xy(&self) -> [f64; 2] { [self.x(), self.y()] } /// Returns the components of the position as array #[inline(always)] fn xz(&self) -> [f64; 2] { [self.x(), self.z()] } /// Returns the components of the position as array #[inline(always)] fn yz(&self) -> [f64; 2] { [self.y(), self.z()] } /// Calculates the dot product with another Is3D #[inline(always)] fn dot(&self, other: &dyn Is3D) -> f64 { self.x() * other.x() + self.y() * other.y() + self.z() * other.z() } /// The absolute / length of this position #[inline(always)] fn abs(&self) -> NonNegative { NonNegative::new(((self.x()).powi(2) + (self.y()).powi(2) + (self.z()).powi(2)).sqrt()) .unwrap() } /// Calculates the angle to the other Is3D in radians fn rad_to(&self, other: &dyn Is3D) -> Result<Rad> { if self.abs().get() == 0.0 || other.abs().get() == 0.0 { return Err(ErrorKind::CantCalculateAngleIfZeroLength); } Ok(Rad { val: (self.dot(other) / (self.abs() * other.abs()).get()).acos(), }) } /// Transforms the position in a "x y z" string. E.g. "3.72 5.99 1.01" fn to_str(&self) -> String { let sx: String = self.x().to_string(); let sy: String = self.y().to_string(); let sz: String = self.z().to_string(); sx + " " + &sy + " " + &sz } } impl<P> HasDistanceTo<P> for dyn Is3D where P: Is3D, { fn sqr_distance(&self, other: &P) -> NonNegative { NonNegative::new( (self.x() - other.x()).powi(2) + (self.y() - other.y()).powi(2) + (self.z() - other.z()).powi(2), ) .unwrap() } }