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const std = @import("std");
const rand = @import("rand.zig");
const Random = rand.Random;
const randomReal = rand.randomReal;
const randomReal01 = rand.randomReal01;
pub const Vec3 = struct {
x: f64,
y: f64,
z: f64,
pub fn norm(v: Vec3) f64 {
return @sqrt(v.normSquared());
}
pub fn normSquared(v: Vec3) f64 {
return v.x * v.x + v.y * v.y + v.z * v.z;
}
pub fn dot(u: Vec3, v: Vec3) f64 {
return u.x * v.x + u.y * v.y + u.z * v.z;
}
pub fn cross(u: Vec3, v: Vec3) Vec3 {
return Vec3{
.x = u.y * v.z - u.z * v.y,
.y = u.z * v.x - u.x * v.z,
.z = u.x * v.y - u.y * v.x,
};
}
pub fn normalized(v: Vec3) Vec3 {
const n = v.norm();
if (n == 0.0) {
return v;
} else {
return v.div(n);
}
}
pub fn add(u: Vec3, v: Vec3) Vec3 {
return Vec3{
.x = u.x + v.x,
.y = u.y + v.y,
.z = u.z + v.z,
};
}
pub fn sub(u: Vec3, v: Vec3) Vec3 {
return Vec3{
.x = u.x - v.x,
.y = u.y - v.y,
.z = u.z - v.z,
};
}
pub fn mul(v: Vec3, t: f64) Vec3 {
return Vec3{
.x = v.x * t,
.y = v.y * t,
.z = v.z * t,
};
}
pub fn mulV(u: Vec3, v: Vec3) Vec3 {
return Vec3{
.x = u.x * v.x,
.y = u.y * v.y,
.z = u.z * v.z,
};
}
pub fn div(v: Vec3, t: f64) Vec3 {
return Vec3{
.x = v.x / t,
.y = v.y / t,
.z = v.z / t,
};
}
pub fn random01(rng: Random) Vec3 {
return Vec3{
.x = randomReal01(rng),
.y = randomReal01(rng),
.z = randomReal01(rng),
};
}
pub fn random(rng: Random, min: f64, max: f64) Vec3 {
return Vec3{
.x = randomReal(rng, min, max),
.y = randomReal(rng, min, max),
.z = randomReal(rng, min, max),
};
}
pub fn near_zero(v: Vec3) bool {
const epsilon = 1e-8;
return @fabs(v.x) < epsilon and @fabs(v.y) < epsilon and @fabs(v.z) < epsilon;
}
};
pub const Point3 = Vec3;
pub const Color = Vec3;
pub fn rgb(r: f64, g: f64, b: f64) Color {
return .{ .x = r, .y = g, .z = b };
}
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