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I shall be square

Square as in present, or square as in absent?

Rationals have another huge disadvantage that nobody's mentioned yet: If you calculate with rational numbers enough, suddenly you get a fraction with huge numerators and denominators, and that's potentially horrible. Rational number formats therefore have very limited application, such as situations where is explicitly guaranteed that your denominators don't explode, and even in those situations it is usually easy to use integers instead. For situations where you would only need the exact value to test for equality or ordering, it is usually better to use floating-point numbers, then consider sufficiently close values equal (up to a small constant epsilon).

The dwarves are singing and dancing in circles oh my god this is so cute

Quote from: MagmaMcFry on December 01, 2015, 05:06:28 pm

Quote from: Graknorke on November 30, 2015, 08:31:28 pm

Is there a way I could find the x y and z components of the square of the displacement between two points without using trigonometry? I think it's impossible but I don't know for sure.

Okay first of all displacement between two points is a vector, and the "square" of a vector is a scalar, so it doesn't even make sense to ask for the components of the square of a vector. Can you reformulate your question so it makes more sense?

You scale the vector so that it's magnitude is squared, but direction remains the same.

Then just multiply the vector by its magnitude (i.e. multiply each component by the magnitude, (x, y, z) becomes (x*sqrt(x²+y²+z²), y*sqrt(x²+y²+z²), z*sqrt(x²+y²+z²))). I'm still wondering what such a vector could be used for.

You wrote "end", not "endl". That's the compile-time error I get when I run it through cpp.sh.

Manual suicide burns are actually rather easy to time. When you're on a (preferably shallow) trajectory impacting shortly behind the target, go to map view, make a full stop maneuver node directly above the target, and check estimated burn time, let's say it's N. Then just execute the maneuver almost exactly like a regular maneuver, i.e. start burning full throttle towards maneuver node at T minus N/2, adjusting in radial/antiradial direction if you feel like you're falling too fast or too slow. While burning, if you need to land somewhere specific, make sure to constantly adjust your trajectory so it always goes straight over the target in map view, overshooting the target by a bit (the anti-target marker helps). When you can't zoom further into map view, switch to ship view. For the close approach, make sure your retrograde marker stays directly below the anti-target marker. As the anti-target marker approaches the up pole, make your retrograde marker approach the anti-target marker. This way, you should land directly on top of your target. When you're close enough, as usual, land by snapping to the retrograde marker.