Project translated automatically. Log in or register, to view the original The task is more mathematical, but the section with mathematics is not here and the solution will still be used in the program, so I will be equally pleased with both the mathematical formula and the program function (preferably C#, but you can write anything).To make it easier to understand the conditions of the task, imagine the person standing in a square closed room.It is influenced by the force of gravity, the direction vector of which V1 = (0, -1, 0), i.e.It’s simply “down”.In the source data we have this very V1 gravitational direction vector and V2 view direction vector (the man always looks forward, the fact that he can rotate his head, we ignore).But the fact that he can’t turn his head does not abolish the fact that a person can stand so that the view vector is not perpendicular to one of the walls.Now imagine that the direction of gravity suddenly changes to V3 = (1, 0, 0).that is.The surface, which has recently been one of the walls for a man, becomes a field for him.A man in the air changes the body’s position so that his legs are always directed towards a new gravity and he stands on this wall and it is now the floor for him.The man also looks forward, and this newest V4 view direction vector is what you need to count.If you look at the figure 2 then it becomes clear that from which direction the V2 view vector is initially directed, in other similar conditions, the final result will be different.I repeat, the sight will not necessarily be directed perpendicularly to one of the walls, as well as the initial and final gravity.that is.I actually need the formula F(V1, V2, V3) = V4 I’ve already tried to solve this task on another stock market, but the person has not checked all the pair of input data and results and as a result in some situations it gets the wrong result, so I’m sure to check all the combinations.I also use an example of the wrong solution (Rs.3).In the wrong formula, the solution is only a sign, for example, for example, for example 3, it gets 0, -1, 0 (needed 0, 1, 0); for example 4, it gets 0, -1, 0 (need 0, 1, 0); for example 5, it gets 0, 0, -1 (need 0, 0, 1).that is.The formula works almost correctly, but it takes improvement, so this time I gave so many examples to get the right solution.Examples of input data and results: Examples 1 V1 = 0, -1, 0 V2 = 1, 0, 0 V3 = 1, 0, 0 The result V4 = 0, 1, 0 - - - - Examples 2 V1 = 0, -1, 0 V2 = -1, 0, 0 V3 = 1, 0, 0 The result V4 = 0, -1, 0 - - - - Examples 3 V1 = 0, -1, 0 V2 = -1, 0, 0 V3 = -1, 0, 0 The result V4 = 0, 1, 0 ------- Examples 4 V1 = 0, -1, 0 V2 = 0, 0, 1 V3 = 0, 0, 1 The result V4 = 0, 1, 0 and ........................ Examples 5 V1 = 0, -1, 0 V2 = 0, 0, 1 V3 = 0, 1, 0 The result V4 = 0, 0, 1 and ........................ Examples 6 V1 = 0, -1, 0 V2 = 0, 0, -1 V3 = 1 and 0.0 0 The result V4 = 0, 0, -1 - Examples 7 V1 = 0, -1, 0 V2 = 1, 0, 0 V3 = 0, 1, 0 Result V4 = 1, 0, 0 - Examples 8 V1 = 0, -1, 0 V2 = 0, 0, -1 V3 = 0, 0, -1 The result V4 = 0, 1, 0

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Oleksii Kozhushko

Winning proposal

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Budget: 300 UAH Deadline: 1 day

Mathematically, the task is clear, the solution is, in general.
I can also write a function on C# for him.

Iryna Kaminkova 26 January 2022

Вниз всегда было (0;0;-1). Или это какая-то новая традиция?

Ivan Zeleny

26 January 2022

Unity - Scripting API: Vector3.down (unity3d.com)

Iryna Kaminkova 26 January 2022

Понятно. Индусская традиция.

Artem Shuryhin 26 January 2022

Интересно, что выдаст ваша программа в случае:
V1 = 0, -1, 0
V2 = 1, 0, 0
V3 = 0, 0, 1
Результат V4 = ???

Ivan Zeleny

27 January 2022

По идее 1, 0, 0 (т.е. таким же как изначально), потому что ноги в этой ситуации будут на плоскости экрана вектор взгляда будет все еще направлен в ту же точку, в которой был изначально. Но это я у себя в голове "посчитал", может и ошибся)

Artem Shuryhin 27 January 2022

Я тоже думаю что 1, 0, 0. Но судя по скрину с формулой. Программа сначала найдет угол между V1 и V3, который составит 90 градусов. А потом с помощью угла 90 градусов найдет координаты V4 0,1,0

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Ivan Zeleny
Kyiv, Ukraine

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