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向量帮助

发布于 2024-08-21 09:59:45 字数 85 浏览 6 评论 0原文

我正在尝试制作一款子弹可以向任何方向飞行的游戏。我想让它们成为具有方向和大小的向量，以使它们朝这个方向移动。我只是不确定如何实现这个？

谢谢

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暗恋未遂 2024-08-28 09:59:45

有两个部分需要计算。首先，我从总距离开始。这应该很简单：

total_distance = velocity * time

假设这是一个 2D 游戏，那么您应该使用 sine & 。余弦将总距离分解为 X 和 Y 分量（对于给定角度）：

distance_y = total_distance * sin(2 * pi * angle / 360)
distance_x = total_distance * cos(2 * pi * angle / 360)

最后，距离 x/y 应根据子弹的起始位置进行偏移：

pos_x = distance_x + start_pos_x
pos_y = distance_y + start_pos_y

当然，您可以将所有这些包装在很好的课程，扩展和根据需要进行抛光。

There are two parts that need to be calculated. First, I'd start off with the total distance. This should be straightforward:

total_distance = velocity * time

Assuming this is a 2D game, you should then use sine & cosine to break the total distance up into the X and Y components (for a given angle):

distance_y = total_distance * sin(2 * pi * angle / 360)
distance_x = total_distance * cos(2 * pi * angle / 360)

Finally, the distance x/y should be offset based on the starting position of the bullet:

pos_x = distance_x + start_pos_x
pos_y = distance_y + start_pos_y

Of course, you could wrap all of this in a nice class, expanding & polishing as needed.

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A君 2024-08-28 09:59:45

您可以有一个包含位置、方向向量和速度的项目符号类。每个时间步都可以更新子弹的位置，如下所示：

position += direction * veclocity;

这假设方向是单位向量。

You could have a bullet class which contains a position, direction vector, and a velocity. Every time step you could update the bullet's position like so:

position += direction * veclocity;

This assumes that the direction was a unit vector.

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巨坚强 2024-08-28 09:59:45

我会从这样的事情开始：

struct Vector3f {
    float x, y, z;
};

struct Bullet {
    Vector3f position;
    Vector3f velocity;
};

inline const Vector3f& Vector3f::operator+=(const Vector &other)
{
    x += other.x;
    y += other.y;
    z += other.z;
    return *this;
}

inline const Vector3f& Vector3f::operator*=(float v)
{
    x *= v;
    y *= v;
    z *= v;
    return *this;
}

然后您可以使用 bullet.position += Velocity 更新您的 Bullet 位置（矢量加法是通过单独添加组件来完成的）。请注意，速度矢量包含方向和速度（=矢量的大小）。

如果您的 Bullet 每帧都变慢，您可以执行类似 bullet.velocity *= 0.98 的操作（其中 0.98 代表分数）。向量与标量的乘法是通过将每个分量与标量相乘来完成的...

问候，
克里斯托夫

I would create start with something like this:

struct Vector3f {
    float x, y, z;
};

struct Bullet {
    Vector3f position;
    Vector3f velocity;
};

inline const Vector3f& Vector3f::operator+=(const Vector &other)
{
    x += other.x;
    y += other.y;
    z += other.z;
    return *this;
}

inline const Vector3f& Vector3f::operator*=(float v)
{
    x *= v;
    y *= v;
    z *= v;
    return *this;
}

You can then update your Bullet position with bullet.position += velocity (vector addition is done by adding the the components separately). Note, that the velocity vector contains both, the direction and the speed (=magnitude of the vector).

And if your Bullet should become slower every frame, you can do something like bullet.velocity *= 0.98 (where 0.98 represents the fraction). Vector multiplication with a scalar is done by multiplying each component with the scalar...

Regards,
Christoph

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