Simplified ray intersection for spheres.
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10
wtracer.cpp
10
wtracer.cpp
@ -7,14 +7,14 @@
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double hit_sphere(const Point3& center, double radius, const Ray& r) {
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Vec3 oc = r.origin() - center;
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auto a = dot(r.direction(), r.direction());
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auto b = 2.0 * dot(oc, r.direction());
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auto c = dot(oc, oc) - radius * radius;
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auto disciminant = b*b - 4*a*c;
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auto a = r.direction().length_squared();
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auto half_b = dot(oc, r.direction());
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auto c = oc.length_squared() - radius * radius;
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auto disciminant = half_b*half_b - a*c;
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if (disciminant < 0) {
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return -1.0;
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} else {
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return (-b - std::sqrt(disciminant)) / (2.0 * a);
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return (-half_b - std::sqrt(disciminant)) / a;
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}
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}
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