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use crate::{Point, Direction, Float, Vec2, rand_utils};
use glam::IVec2;
use crate::tracer::{
film::FilmSample, ray::Ray,
onb::Onb, Color
};
/// Common configuration for cameras
pub struct CameraConfig {
/// Camera position in world space
pub origin: Point,
/// Basis of camera space
pub camera_basis: Onb,
/// Image resolution
pub resolution: IVec2,
/// Focal length i.e. distance to focal point behind camera
pub focal_length: Float,
/// Radius of the camera lens
pub lens_radius: Float,
}
impl CameraConfig {
/// Creates a new config with the given arguments
pub fn new(
origin: Point,
towards: Point,
up: Direction,
lens_radius: Float,
focal_length: Float,
resolution: (i32, i32)
) -> Self {
assert!(resolution.0 > 0 && resolution.1 > 0);
assert!(lens_radius >= 0.0);
assert!(origin != towards);
assert!(up.length() != 0.0);
let forward = (towards - origin).normalize();
let right = forward.cross(up).normalize();
let down = forward.cross(right);
// x = right, y = down, z = towards
let camera_basis = Onb::new_from_basis(right, down, forward);
let (width, height) = resolution;
Self {
lens_radius,
focal_length,
origin,
camera_basis,
resolution: IVec2::new(width, height),
}
}
}
/// Camera abstraction
pub enum Camera {
/// Perspective camera with configurable vertical field-of-view
Perspective(CameraConfig, Float),
/// Orthographic camera that preserves angles with configurable image plane scale
Orthographic(CameraConfig, Float),
}
impl Camera {
/// Orthographic camera that preserves angles. All rays are cast in the same
/// direction but from a plane instead of a single point
///
/// # Arguments
/// * `origin` - Camera position in world space
/// * `towards` - Point in world space the camera is looking at
/// * `up` - Up direction of the camera
/// * `image_plane_scale` - Scale of the plane rays are cast from
/// * `lens_radius` - Radius of the lens for depth of field. Bigger means more profound effect
/// * `focal_length` - Distance to the plane of focus for depth of field
/// * `width` - Width of the rendered image
/// * `height` - Height of the rendered image
#[allow(clippy::too_many_arguments)]
pub fn orthographic(
origin: Point,
towards: Point,
up: Direction,
image_plane_scale: Float,
lens_radius: Float,
focal_length: Float,
width: i32,
height: i32,
) -> Self {
assert!(image_plane_scale > 0.0);
Self::Orthographic(
CameraConfig::new(
origin,
towards,
up,
lens_radius,
focal_length,
(width, height)
),
image_plane_scale,
)
}
/// Perspective camera where sense of depth is more profound. Rays are cast
/// from a single point towards points on the image plane.
///
/// # Arguments
/// * `origin` - Camera position in world space
/// * `towards` - Point in world space the camera is looking at
/// * `up` - Up direction of the camera
/// * `vfov` - Vertical field of view of the camera
/// * `lens_radius` - Radius of the lens for depth of field. Bigger means more profound effect
/// * `focal_length` - Distance to the plane of focus for depth of field
/// * `width` - Width of the rendered image
/// * `height` - Height of the rendered image
#[allow(clippy::too_many_arguments)]
pub fn perspective(
origin: Point,
towards: Point,
up: Direction,
vfov: Float,
lens_radius: Float,
focal_length: Float,
width: i32,
height: i32,
) -> Self {
assert!(vfov > 0.0 && vfov < 180.0);
Self::Perspective(
CameraConfig::new(
origin,
towards,
up,
lens_radius,
focal_length,
(width, height)
),
vfov.to_radians() / 2.0,
)
}
/// The "default" camera. Perspective camera at world space origin
/// pointing towards `-z` with `y` as up and vfov at 90° with no DOF
pub fn default(width: i32, height: i32) -> Self {
Self::perspective(
Point::ZERO,
Point::NEG_Z,
Direction::Y,
90.0,
0.0,
0.0,
width,
height,
)
}
fn get_cfg(&self) -> &CameraConfig {
match self {
Self::Orthographic(cfg, _) | Self::Perspective(cfg, _) => cfg,
}
}
/// Returns the resolution of the image
pub fn get_resolution(&self) -> IVec2 {
self.get_cfg().resolution
}
/// Adds depth of field to camera space ray and transform to world space ray
fn add_dof(xo_local: Point, wi_local: Direction, cfg: &CameraConfig) -> Ray {
let (xo_local, wi_local) = if cfg.lens_radius == 0.0 {
(xo_local, wi_local)
} else {
let lens_xy = cfg.lens_radius
* rand_utils::square_to_disk(rand_utils::unit_square());
let lens_xyz = lens_xy.extend(0.0);
let focus_distance = cfg.focal_length / wi_local.z;
let focus_xyz = focus_distance * wi_local;
(lens_xyz, focus_xyz - lens_xyz)
};
// refactor camera basis to DAffine3
let xo = cfg.origin + cfg.camera_basis.to_world(xo_local);
let wi = cfg.camera_basis.to_world(wi_local);
Ray::new(xo, wi)
}
/// Generates a ray given a point in raster space `\[0,width\] x \[0,height\]`
pub fn generate_ray(&self, raster_xy: Vec2) -> Ray {
let resolution = self.get_resolution();
let resolution = Vec2::new(
resolution.x as Float,
resolution.y as Float,
);
let min_res = resolution.min_element();
// raster to screen here
let screen_xy = (2.0 * raster_xy - resolution) / min_res;
match self {
Self::Perspective(cfg, vfov_half) => {
// is this correct ???
let wi_local = screen_xy.extend(
resolution.y / (min_res * vfov_half.tan())
).normalize();
Self::add_dof(Point::ZERO, wi_local, cfg)
}
Self::Orthographic(cfg, scale) => {
let screen_xyz = screen_xy.extend(0.0);
let xo_local = *scale * screen_xyz;
Self::add_dof(xo_local, Direction::Z, cfg)
}
}
}
/// Samples a ray leaving from the lens of the camera towards `xi`
pub fn sample_towards(&self, xi: Point, rand_sq: Vec2) -> Ray {
let cfg = self.get_cfg();
let xo_local = rand_utils::square_to_disk(rand_sq).extend(0.0)
* cfg.lens_radius;
let xo = cfg.origin + cfg.camera_basis.to_world(xo_local);
let wi = (xi - xo).normalize();
Ray::new(xo, wi)
}
/// Probability that `ro` towards `xi` got sampled
pub fn sample_towards_pdf(&self, ro: &Ray, xi: Point) -> Float {
let cfg = self.get_cfg();
let xo = ro.origin;
let wi = ro.dir;
let ng = cfg.camera_basis.to_world(Direction::Z);
let lens_area = if cfg.lens_radius == 0.0 {
1.0
} else {
cfg.lens_radius * cfg.lens_radius * crate::PI
};
let pdf = xi.distance_squared(xo) / (ng.dot(wi) * lens_area);
pdf.max(0.0)
}
/// PDF for `wi` direction.
pub fn pdf(&self, wi: Direction) -> Float {
let cfg = self.get_cfg();
let wi_local = cfg.camera_basis.to_local(wi);
let cos_theta = wi_local.z;
if cos_theta <= 0.0 {
0.0
} else {
let area_coeff = {
let res = self.get_resolution();
let res = Vec2::new(
res.x as Float,
res.y as Float,
);
let min_res = res.min_element();
let screen_bounds = res / min_res;
screen_bounds.x * screen_bounds.y
};
1.0 / (area_coeff * cos_theta * cos_theta * cos_theta)
}
}
/// Incident importance for the ray `ro` starting from the camera lens
pub fn importance_sample(&self, ro: &Ray) -> FilmSample {
match self {
Self::Orthographic(..) => unimplemented!(),
Self::Perspective(cfg, _) => {
let wi = ro.dir;
let wi_local = cfg.camera_basis.to_local(wi);
let cos_theta = wi_local.z;
if cos_theta < 0.0 {
return FilmSample::default();
}
let pdf = self.pdf(wi);
let color = Color::splat(pdf);
let fl = if cfg.lens_radius == 0.0 {
1.0 / cos_theta
} else {
cfg.focal_length / cos_theta
};
let resolution = self.get_resolution();
let resolution = Vec2::new(
resolution.x as Float,
resolution.y as Float,
);
let min_res = resolution.min_element();
let focus = ro.at(fl);
let focus_local = cfg.camera_basis.to_local(focus) + cfg.origin;
let raster_xy = (focus_local.truncate() * min_res + resolution) / 2.0;
FilmSample::new(color, raster_xy, true)
}
}
}
}