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Xeile

Vector question

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Hello, I would like to know if a function exist, before I made one for myself. I got a line, defined by 2 vectors (Start and End are the names for this example). Direction is determined by End - Start. Now I want to know the X and Y value when I give the Z value. Is there a function that does this? The function doesn't have to check if the Start.z and End.z are different to each other.

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linear interpolation (slerp).

basically, Xmiddle = (Xend - Xstart) * (Zmiddle - Zstart) / (Zend - Zstart)

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So you want:

d = e - s
for some alpha and given d and z:
αd = (αdx, αdy, αdz) = (x,y,z)
αdz = z
α = z/dz
x = αdx = zdx/dz
y = αdy = zdy/dz

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This might not be the best way but it should work


float z = 10;
float t = (z - Start.z ) / (End.z - Start.z);

if ( t < 0.0f || t > 1.0f )
{
// not a valid z value
}

x = Start.x + t * (End.x - Start.x);
y = Start.y + t * (End.y - Start.y);



I just wrote this and it's untested.
hope that helps

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you realy should check if End.z = Start.z
If they are the same then you will get a division by zero (which is bad)
( if you use my code sample that is )

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Quote:
Original post by glSmurf
you realy should check if End.z = Start.z
If they are the same then you will get a division by zero (which is bad)
( if you use my code sample that is )


Yes I thought of that, but thanks for the reminder.

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