Ray intersection

This commit is contained in:
Michael Zhang 2023-01-31 01:15:22 -06:00
parent 00000040d1
commit 0000005024
7 changed files with 533 additions and 0 deletions

1
assignment-1/.gitignore vendored Normal file
View file

@ -0,0 +1 @@
/target

330
assignment-1/Cargo.lock generated Normal file
View file

@ -0,0 +1,330 @@
# This file is automatically @generated by Cargo.
# It is not intended for manual editing.
version = 3
[[package]]
name = "anyhow"
version = "1.0.68"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "2cb2f989d18dd141ab8ae82f64d1a8cdd37e0840f73a406896cf5e99502fab61"
[[package]]
name = "assignment-1"
version = "0.1.0"
dependencies = [
"anyhow",
"clap",
]
[[package]]
name = "bitflags"
version = "1.3.2"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "bef38d45163c2f1dde094a7dfd33ccf595c92905c8f8f4fdc18d06fb1037718a"
[[package]]
name = "cc"
version = "1.0.78"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "a20104e2335ce8a659d6dd92a51a767a0c062599c73b343fd152cb401e828c3d"
[[package]]
name = "clap"
version = "4.1.4"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "f13b9c79b5d1dd500d20ef541215a6423c75829ef43117e1b4d17fd8af0b5d76"
dependencies = [
"bitflags",
"clap_derive",
"clap_lex",
"is-terminal",
"once_cell",
"strsim",
"termcolor",
]
[[package]]
name = "clap_derive"
version = "4.1.0"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "684a277d672e91966334af371f1a7b5833f9aa00b07c84e92fbce95e00208ce8"
dependencies = [
"heck",
"proc-macro-error",
"proc-macro2",
"quote",
"syn",
]
[[package]]
name = "clap_lex"
version = "0.3.1"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "783fe232adfca04f90f56201b26d79682d4cd2625e0bc7290b95123afe558ade"
dependencies = [
"os_str_bytes",
]
[[package]]
name = "errno"
version = "0.2.8"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "f639046355ee4f37944e44f60642c6f3a7efa3cf6b78c78a0d989a8ce6c396a1"
dependencies = [
"errno-dragonfly",
"libc",
"winapi",
]
[[package]]
name = "errno-dragonfly"
version = "0.1.2"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "aa68f1b12764fab894d2755d2518754e71b4fd80ecfb822714a1206c2aab39bf"
dependencies = [
"cc",
"libc",
]
[[package]]
name = "heck"
version = "0.4.0"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "2540771e65fc8cb83cd6e8a237f70c319bd5c29f78ed1084ba5d50eeac86f7f9"
[[package]]
name = "hermit-abi"
version = "0.2.6"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "ee512640fe35acbfb4bb779db6f0d80704c2cacfa2e39b601ef3e3f47d1ae4c7"
dependencies = [
"libc",
]
[[package]]
name = "io-lifetimes"
version = "1.0.4"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "e7d6c6f8c91b4b9ed43484ad1a938e393caf35960fce7f82a040497207bd8e9e"
dependencies = [
"libc",
"windows-sys",
]
[[package]]
name = "is-terminal"
version = "0.4.2"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "28dfb6c8100ccc63462345b67d1bbc3679177c75ee4bf59bf29c8b1d110b8189"
dependencies = [
"hermit-abi",
"io-lifetimes",
"rustix",
"windows-sys",
]
[[package]]
name = "libc"
version = "0.2.139"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "201de327520df007757c1f0adce6e827fe8562fbc28bfd9c15571c66ca1f5f79"
[[package]]
name = "linux-raw-sys"
version = "0.1.4"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "f051f77a7c8e6957c0696eac88f26b0117e54f52d3fc682ab19397a8812846a4"
[[package]]
name = "once_cell"
version = "1.17.0"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "6f61fba1741ea2b3d6a1e3178721804bb716a68a6aeba1149b5d52e3d464ea66"
[[package]]
name = "os_str_bytes"
version = "6.4.1"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "9b7820b9daea5457c9f21c69448905d723fbd21136ccf521748f23fd49e723ee"
[[package]]
name = "proc-macro-error"
version = "1.0.4"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "da25490ff9892aab3fcf7c36f08cfb902dd3e71ca0f9f9517bea02a73a5ce38c"
dependencies = [
"proc-macro-error-attr",
"proc-macro2",
"quote",
"syn",
"version_check",
]
[[package]]
name = "proc-macro-error-attr"
version = "1.0.4"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "a1be40180e52ecc98ad80b184934baf3d0d29f979574e439af5a55274b35f869"
dependencies = [
"proc-macro2",
"quote",
"version_check",
]
[[package]]
name = "proc-macro2"
version = "1.0.50"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "6ef7d57beacfaf2d8aee5937dab7b7f28de3cb8b1828479bb5de2a7106f2bae2"
dependencies = [
"unicode-ident",
]
[[package]]
name = "quote"
version = "1.0.23"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "8856d8364d252a14d474036ea1358d63c9e6965c8e5c1885c18f73d70bff9c7b"
dependencies = [
"proc-macro2",
]
[[package]]
name = "rustix"
version = "0.36.7"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "d4fdebc4b395b7fbb9ab11e462e20ed9051e7b16e42d24042c776eca0ac81b03"
dependencies = [
"bitflags",
"errno",
"io-lifetimes",
"libc",
"linux-raw-sys",
"windows-sys",
]
[[package]]
name = "strsim"
version = "0.10.0"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "73473c0e59e6d5812c5dfe2a064a6444949f089e20eec9a2e5506596494e4623"
[[package]]
name = "syn"
version = "1.0.107"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "1f4064b5b16e03ae50984a5a8ed5d4f8803e6bc1fd170a3cda91a1be4b18e3f5"
dependencies = [
"proc-macro2",
"quote",
"unicode-ident",
]
[[package]]
name = "termcolor"
version = "1.2.0"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "be55cf8942feac5c765c2c993422806843c9a9a45d4d5c407ad6dd2ea95eb9b6"
dependencies = [
"winapi-util",
]
[[package]]
name = "unicode-ident"
version = "1.0.6"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "84a22b9f218b40614adcb3f4ff08b703773ad44fa9423e4e0d346d5db86e4ebc"
[[package]]
name = "version_check"
version = "0.9.4"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "49874b5167b65d7193b8aba1567f5c7d93d001cafc34600cee003eda787e483f"
[[package]]
name = "winapi"
version = "0.3.9"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "5c839a674fcd7a98952e593242ea400abe93992746761e38641405d28b00f419"
dependencies = [
"winapi-i686-pc-windows-gnu",
"winapi-x86_64-pc-windows-gnu",
]
[[package]]
name = "winapi-i686-pc-windows-gnu"
version = "0.4.0"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "ac3b87c63620426dd9b991e5ce0329eff545bccbbb34f3be09ff6fb6ab51b7b6"
[[package]]
name = "winapi-util"
version = "0.1.5"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "70ec6ce85bb158151cae5e5c87f95a8e97d2c0c4b001223f33a334e3ce5de178"
dependencies = [
"winapi",
]
[[package]]
name = "winapi-x86_64-pc-windows-gnu"
version = "0.4.0"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "712e227841d057c1ee1cd2fb22fa7e5a5461ae8e48fa2ca79ec42cfc1931183f"
[[package]]
name = "windows-sys"
version = "0.42.0"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "5a3e1820f08b8513f676f7ab6c1f99ff312fb97b553d30ff4dd86f9f15728aa7"
dependencies = [
"windows_aarch64_gnullvm",
"windows_aarch64_msvc",
"windows_i686_gnu",
"windows_i686_msvc",
"windows_x86_64_gnu",
"windows_x86_64_gnullvm",
"windows_x86_64_msvc",
]
[[package]]
name = "windows_aarch64_gnullvm"
version = "0.42.1"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "8c9864e83243fdec7fc9c5444389dcbbfd258f745e7853198f365e3c4968a608"
[[package]]
name = "windows_aarch64_msvc"
version = "0.42.1"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "4c8b1b673ffc16c47a9ff48570a9d85e25d265735c503681332589af6253c6c7"
[[package]]
name = "windows_i686_gnu"
version = "0.42.1"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "de3887528ad530ba7bdbb1faa8275ec7a1155a45ffa57c37993960277145d640"
[[package]]
name = "windows_i686_msvc"
version = "0.42.1"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "bf4d1122317eddd6ff351aa852118a2418ad4214e6613a50e0191f7004372605"
[[package]]
name = "windows_x86_64_gnu"
version = "0.42.1"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "c1040f221285e17ebccbc2591ffdc2d44ee1f9186324dd3e84e99ac68d699c45"
[[package]]
name = "windows_x86_64_gnullvm"
version = "0.42.1"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "628bfdf232daa22b0d64fdb62b09fcc36bb01f05a3939e20ab73aaf9470d0463"
[[package]]
name = "windows_x86_64_msvc"
version = "0.42.1"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "447660ad36a13288b1db4d4248e857b510e8c3a225c822ba4fb748c0aafecffd"

10
assignment-1/Cargo.toml Normal file
View file

@ -0,0 +1,10 @@
[package]
name = "assignment-1"
version = "0.1.0"
edition = "2021"
# See more keys and their definitions at https://doc.rust-lang.org/cargo/reference/manifest.html
[dependencies]
anyhow = "1.0.68"
clap = { version = "4.1.4", features = ["derive"] }

View file

@ -0,0 +1,9 @@
use std::path::Path;
use anyhow::Result;
use crate::scene_data::Scene;
pub fn parse_input_file(path: impl AsRef<Path>) -> Result<Scene> {
todo!()
}

39
assignment-1/src/main.rs Normal file
View file

@ -0,0 +1,39 @@
mod input_file;
mod ray;
mod scene_data;
use std::path::PathBuf;
use anyhow::Result;
use clap::Parser;
use crate::input_file::parse_input_file;
/// Noise image generator.
#[derive(Parser)]
#[clap(author, version, about, long_about = None)]
struct Opt {
/// Path to the input file to use.
///
/// The input file should follow this format:
///
/// imsize [width] [height]
///
/// Where `imsize' is a keyword, and `width' and `height' are integer values
/// denoting the desired size of the image to be generated.
#[clap()]
input_path: PathBuf,
}
fn main() -> Result<()> {
let opt = Opt::parse();
let scene = parse_input_file(&opt.input_path)?;
// Loop through every single pixel of the output file
for (px, py) in (0..scene.image_width).zip(0..scene.image_height) {
}
Ok(())
}

70
assignment-1/src/ray.rs Normal file
View file

@ -0,0 +1,70 @@
use crate::scene_data::{Sphere, Vec3};
/// A normalized Ray
pub struct Ray {
origin: Vec3,
direction: Vec3,
}
impl Ray {
pub fn eval(&self, time: f64) -> Vec3 {
self.origin + self.direction * time
}
}
/// Given a ray and a sphere, returns the first point at which this ray intersects the sphere.
///
/// If there is no intersection point, returns None.
pub fn ray_intersection_time(ray: &Ray, sphere: &Sphere) -> Option<f64> {
let a =
ray.direction.x.powi(2) + ray.direction.y.powi(2) + ray.direction.z.powi(2);
let b = 2.0
* (ray.direction.x * (ray.origin.x - sphere.center.x)
+ ray.direction.y * (ray.origin.y - sphere.center.y)
+ ray.direction.z * (ray.origin.z - sphere.center.z));
let c = (ray.origin.x - sphere.center.x).powi(2)
+ (ray.origin.y - sphere.center.y).powi(2)
+ (ray.origin.z - sphere.center.z).powi(2)
- sphere.radius.powi(2);
let discriminant = b * b - 4.0 * a * c;
match discriminant {
// Discriminant < 0, means the equation has no solutions.
d if d < 0.0 => return None,
// Discriminant == 0
d if d == 0.0 => {
return Some(-b / (2.0 * a));
}
d if d > 0.0 => {
let solution_1 = (-b + discriminant.sqrt()) / (2.0 * a);
let solution_2 = (-b - discriminant.sqrt()) / (2.0 * a);
return Some(solution_1.min(solution_2));
}
_ => unreachable!("Invalid determinant value: {discriminant}"),
}
}
#[cfg(test)]
mod tests {
use crate::scene_data::{Sphere, Vec3};
use super::{ray_intersection_time, Ray};
#[test]
fn practice_problem_slide_154() {
let ray = Ray {
origin: Vec3::new(0.0, 0.0, 0.0),
direction: Vec3::new(0.0, 0.0, -1.0),
};
let sphere = Sphere {
center: Vec3::new(0.0, 0.0, -10.0),
radius: 4.0,
};
let t = ray_intersection_time(&ray, &sphere).unwrap();
assert_eq!(ray.eval(t), Vec3::new(0.0, 0.0, -6.0));
}
}

View file

@ -0,0 +1,74 @@
use std::ops::{Add, Mul};
#[derive(Copy, Clone, Debug, PartialEq, Eq)]
pub struct Vec3<T = f64> {
pub x: T,
pub y: T,
pub z: T,
}
impl<T> Vec3<T> {
pub fn new(x: T, y: T, z: T) -> Self {
Vec3 { x, y, z }
}
}
/// Vector addition
impl<T> Add<Vec3<T>> for Vec3<T>
where
T: Add<T>,
{
type Output = Vec3<T::Output>;
fn add(self, rhs: Vec3<T>) -> Self::Output {
Vec3::new(self.x + rhs.x, self.y + rhs.y, self.z + rhs.z)
}
}
/// Scalar multiplication
impl<T, U> Mul<U> for Vec3<T>
where
T: Mul<U, Output = U>,
U: Copy,
{
type Output = Vec3<U>;
fn mul(self, rhs: U) -> Self::Output {
Vec3::new(self.x * rhs, self.y * rhs, self.z * rhs)
}
}
pub struct Sphere {
pub center: Vec3,
pub radius: f64,
}
pub enum Object {
Sphere(Sphere),
Cylinder {
center: Vec3,
direction: Vec3,
radius: f64,
length: f64,
},
}
pub struct Scene {
pub eye_pos: Vec3,
pub view_dir: Vec3,
pub up_dir: Vec3,
/// Horizontal field of view (in degrees)
pub hfov: f64,
pub image_width: usize,
pub image_height: usize,
/// Background color
pub bkg_color: Vec3,
/// Material color
pub mtl_color: Vec3,
pub objects: Vec<Object>,
}