optimize hitSphere()
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					 2 changed files with 9 additions and 5 deletions
				
			
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			@ -18,14 +18,14 @@ const fps = 60;
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fn hitSphere(center: Point3, radius: f32, ray: Ray) f32 {
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    const ssr = ray.origin.sub(center); // Sphere-space ray, (A - C) in book
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    const a = Vec3.dot(ray.direction, ray.direction);
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    const b = 2.0 * Vec3.dot(ssr, ray.direction);
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    const c = Vec3.dot(ssr, ssr) - (radius * radius);
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    const discriminant = b * b - 4 * a * c;
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    const a = ray.direction.length_squared();
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    const half_b = Vec3.dot(ssr, ray.direction);
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    const c = ssr.length_squared() - (radius * radius);
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    const discriminant = half_b * half_b - a * c;
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    if (discriminant < 0) {
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        return -1;
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    } else {
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        return (-b - std.math.sqrt(discriminant)) / (2 * a);
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        return (-half_b - std.math.sqrt(discriminant)) / a;
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    }
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}
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			@ -41,6 +41,10 @@ pub const Vec3 = packed struct {
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        return math.sqrt(self.x * self.x + self.y * self.y + self.z * self.z);
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    }
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    pub fn length_squared(self: Vec3) f32 {
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        return self.x * self.x + self.y * self.y + self.z * self.z;
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    }
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    pub fn dot(u: Vec3, v: Vec3) f32 {
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        return u.x * v.x + u.y * v.y + u.z * v.z;
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    }
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