use std::ops::{Add, AddAssign, Div, Mul, MulAssign, Neg, Sub, SubAssign}; #[derive(Clone, Copy, Default, Deserialize, Serialize)] pub struct Vec2 { pub x: f32, pub y: f32, } pub fn vec2(x: f32, y: f32) -> Vec2 { Vec2 { x, y } } impl Vec2 { pub fn splat(v: impl Into) -> Self { let v: f32 = v.into(); Self { x: v, y: v } } #[must_use] pub fn normalized(self) -> Self { let len = self.length(); if len <= 0.0 { self } else { self / len } } pub fn rot90(self) -> Self { vec2(self.y, -self.x) } pub fn length(self) -> f32 { self.x.hypot(self.y) } pub fn length_sq(self) -> f32 { self.x * self.x + self.y * self.y } pub fn dist(a: Self, b: Self) -> f32 { (a - b).length() } pub fn dist_sq(a: Self, b: Self) -> f32 { (a - b).length_sq() } pub fn angled(angle: f32) -> Self { vec2(angle.cos(), angle.sin()) } pub fn floor(self) -> Self { vec2(self.x.floor(), self.y.floor()) } pub fn round(self) -> Self { vec2(self.x.round(), self.y.round()) } pub fn ceil(self) -> Self { vec2(self.x.ceil(), self.y.ceil()) } pub fn is_finite(&self) -> bool { self.x.is_finite() && self.y.is_finite() } pub fn min(self, other: Self) -> Self { vec2(self.x.min(other.x), self.y.min(other.y)) } pub fn max(self, other: Self) -> Self { vec2(self.x.max(other.x), self.y.max(other.y)) } } impl PartialEq for Vec2 { fn eq(&self, other: &Self) -> bool { self.x == other.x && self.y == other.y } } impl Eq for Vec2 {} impl Neg for Vec2 { type Output = Vec2; fn neg(self) -> Vec2 { vec2(-self.x, -self.y) } } impl AddAssign for Vec2 { fn add_assign(&mut self, rhs: Vec2) { *self = Vec2 { x: self.x + rhs.x, y: self.y + rhs.y, }; } } impl SubAssign for Vec2 { fn sub_assign(&mut self, rhs: Vec2) { *self = Vec2 { x: self.x - rhs.x, y: self.y - rhs.y, }; } } impl Add for Vec2 { type Output = Vec2; fn add(self, rhs: Vec2) -> Vec2 { Vec2 { x: self.x + rhs.x, y: self.y + rhs.y, } } } impl Sub for Vec2 { type Output = Vec2; fn sub(self, rhs: Vec2) -> Vec2 { Vec2 { x: self.x - rhs.x, y: self.y - rhs.y, } } } impl MulAssign for Vec2 { fn mul_assign(&mut self, rhs: f32) { self.x *= rhs; self.y *= rhs; } } impl Mul for Vec2 { type Output = Vec2; fn mul(self, factor: f32) -> Vec2 { Vec2 { x: self.x * factor, y: self.y * factor, } } } impl Mul for f32 { type Output = Vec2; fn mul(self, vec: Vec2) -> Vec2 { Vec2 { x: self * vec.x, y: self * vec.y, } } } impl Div for Vec2 { type Output = Vec2; fn div(self, factor: f32) -> Vec2 { Vec2 { x: self.x / factor, y: self.y / factor, } } } impl std::fmt::Debug for Vec2 { fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result { write!(f, "[{} {}]", self.x, self.y) } } // ---------------------------------------------------------------------------- /// Sometimes called a Point. I prefer the shorter Pos2 so it is equal length to Vec2 #[derive(Clone, Copy, Default, Deserialize, Serialize)] pub struct Pos2 { pub x: f32, pub y: f32, // implicit w = 1 } pub fn pos2(x: f32, y: f32) -> Pos2 { Pos2 { x, y } } impl Pos2 { pub fn dist(self: Self, other: Self) -> f32 { (self - other).length() } pub fn dist_sq(self: Self, other: Self) -> f32 { (self - other).length_sq() } pub fn floor(self) -> Self { pos2(self.x.floor(), self.y.floor()) } pub fn round(self) -> Self { pos2(self.x.round(), self.y.round()) } pub fn ceil(self) -> Self { pos2(self.x.ceil(), self.y.ceil()) } pub fn is_finite(&self) -> bool { self.x.is_finite() && self.y.is_finite() } pub fn min(self, other: Self) -> Self { pos2(self.x.min(other.x), self.y.min(other.y)) } pub fn max(self, other: Self) -> Self { pos2(self.x.max(other.x), self.y.max(other.y)) } } impl PartialEq for Pos2 { fn eq(&self, other: &Self) -> bool { self.x == other.x && self.y == other.y } } impl Eq for Pos2 {} impl AddAssign for Pos2 { fn add_assign(&mut self, rhs: Vec2) { *self = Pos2 { x: self.x + rhs.x, y: self.y + rhs.y, }; } } impl SubAssign for Pos2 { fn sub_assign(&mut self, rhs: Vec2) { *self = Pos2 { x: self.x - rhs.x, y: self.y - rhs.y, }; } } impl Add for Pos2 { type Output = Pos2; fn add(self, rhs: Vec2) -> Pos2 { Pos2 { x: self.x + rhs.x, y: self.y + rhs.y, } } } impl Sub for Pos2 { type Output = Vec2; fn sub(self, rhs: Pos2) -> Vec2 { Vec2 { x: self.x - rhs.x, y: self.y - rhs.y, } } } impl Sub for Pos2 { type Output = Pos2; fn sub(self, rhs: Vec2) -> Pos2 { Pos2 { x: self.x - rhs.x, y: self.y - rhs.y, } } } impl std::fmt::Debug for Pos2 { fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result { write!(f, "[{} {}]", self.x, self.y) } } // ---------------------------------------------------------------------------- #[derive(Clone, Copy, Default, Eq, PartialEq, Deserialize, Serialize)] pub struct Rect { min: Pos2, max: Pos2, } impl Rect { /// Infinite rectangle that contains everything pub fn everything() -> Self { let inf = std::f32::INFINITY; Self { min: pos2(-inf, -inf), max: pos2(inf, inf), } } pub fn nothing() -> Self { let inf = std::f32::INFINITY; Self { min: pos2(inf, inf), max: pos2(-inf, -inf), } } pub fn from_min_max(min: Pos2, max: Pos2) -> Self { Rect { min, max: max } } pub fn from_min_size(min: Pos2, size: Vec2) -> Self { Rect { min, max: min + size, } } pub fn from_center_size(center: Pos2, size: Vec2) -> Self { Rect { min: center - size * 0.5, max: center + size * 0.5, } } /// Expand by this much in each direction #[must_use] pub fn expand(self, amnt: f32) -> Self { Rect::from_center_size(self.center(), self.size() + 2.0 * vec2(amnt, amnt)) } #[must_use] pub fn translate(self, amnt: Vec2) -> Self { Rect::from_min_size(self.min() + amnt, self.size()) } #[must_use] pub fn intersect(self, other: Rect) -> Self { Self { min: self.min.max(other.min), max: self.max.min(other.max), } } // keep min pub fn set_width(&mut self, w: f32) { self.max.x = self.min.x + w; } // keep min pub fn set_height(&mut self, h: f32) { self.max.y = self.min.y + h; } pub fn contains(&self, p: Pos2) -> bool { self.min.x <= p.x && p.x <= self.min.x + self.size().x && self.min.y <= p.y && p.y <= self.min.y + self.size().y } pub fn center(&self) -> Pos2 { Pos2 { x: self.min.x + self.size().x / 2.0, y: self.min.y + self.size().y / 2.0, } } pub fn min(&self) -> Pos2 { self.min } pub fn max(&self) -> Pos2 { self.max } pub fn size(&self) -> Vec2 { self.max - self.min } pub fn width(&self) -> f32 { self.max.x - self.min.x } pub fn height(&self) -> f32 { self.max.y - self.min.y } pub fn is_empty(&self) -> bool { self.max.x < self.min.x || self.max.y < self.min.y } pub fn is_finite(&self) -> bool { self.min.is_finite() && self.max.is_finite() } // Convenience functions (assumes origin is towards left top): pub fn left(&self) -> f32 { self.min.x } pub fn right(&self) -> f32 { self.max.x } pub fn top(&self) -> f32 { self.min.y } pub fn bottom(&self) -> f32 { self.max.y } pub fn left_top(&self) -> Pos2 { pos2(self.left(), self.top()) } pub fn center_top(&self) -> Pos2 { pos2(self.center().x, self.top()) } pub fn right_top(&self) -> Pos2 { pos2(self.right(), self.top()) } pub fn left_center(&self) -> Pos2 { pos2(self.left(), self.center().y) } pub fn right_center(&self) -> Pos2 { pos2(self.right(), self.center().y) } pub fn left_bottom(&self) -> Pos2 { pos2(self.left(), self.bottom()) } pub fn center_bottom(&self) -> Pos2 { pos2(self.center().x, self.bottom()) } pub fn right_bottom(&self) -> Pos2 { pos2(self.right(), self.bottom()) } } impl std::fmt::Debug for Rect { fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result { write!(f, "[{:?} - {:?}]", self.min, self.max) } } // ---------------------------------------------------------------------------- pub fn lerp(min: T, max: T, t: f32) -> T where f32: Mul, T: Add, { (1.0 - t) * min + t * max } pub fn remap(from: f32, from_min: f32, from_max: f32, to_min: f32, to_max: f32) -> f32 { let t = (from - from_min) / (from_max - from_min); lerp(to_min, to_max, t) } pub fn remap_clamp(from: f32, from_min: f32, from_max: f32, to_min: f32, to_max: f32) -> f32 { let t = if from <= from_min { 0.0 } else if from >= from_max { 1.0 } else { (from - from_min) / (from_max - from_min) }; lerp(to_min, to_max, t) } pub fn clamp(x: f32, min: f32, max: f32) -> f32 { if x <= min { min } else if x >= max { max } else { x } } /// For t=[0,1], returns [0,1] with a derivate of zero at both ends pub fn ease_in_ease_out(t: f32) -> f32 { return 3.0 * t * t - 2.0 * t * t * t; } pub const TAU: f32 = 2.0 * std::f32::consts::PI;