Serching Vectors from Vehicle Quats

Serching Vectors from Vehicle Quats - Printable Version

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Serching Vectors from Vehicle Quats - Falco-Ger - 25.10.2011

Hey guys, i read the page about the quatrions but i'm not a math genious. I simple want 3 vectors from those 4 numbers which i don't really understand.
Those 3 vectors should have length 1 and have this formation (x, y, z)

Here is a picture explaining what i mean.

Maybe something like
GetVehicleXVector(vehicleid, &Float

, &Float:y, &Float:z)
GetVehicleYVector(vehicleid, &Float

, &Float:y, &Float:z)
GetVehicleZVector(vehicleid, &Float

, &Float:y, &Float:z)
would be nice

Re: Serching Vectors from Vehicle Quats - Gamer_Z - 25.10.2011

Quote:

Originally Posted by Falco-Ger

Hey guys, i read the page about the quatrions but i'm not a math genious. I simple want 3 vectors from those 4 numbers which i don't really understand.
Those 3 vectors should have length 1 and have this formation (x, y, z)

Here is a picture explaining what i mean.

Maybe something like
GetVehicleXVector(vehicleid, &Float

, &Float:y, &Float:z)
GetVehicleYVector(vehicleid, &Float

, &Float:y, &Float:z)
GetVehicleZVector(vehicleid, &Float

, &Float:y, &Float:z)
would be nice

I have a thread which discusses the quaternion things, I think it was in discussion, just check out my profile and threads started by me.

Also sa-mp does have an function to get the 4 quads:
https://sampwiki.blast.hk/wiki/GetVehicleRotationQuat

sounds like the problem located here: http://www.ogre3d.org/forums/viewtopic.php?p=317662

This could help:
http://www.genesis3d.com/~kdtop/Quat...ntRotation.htm

and instead of vectors you can use a 3d matrix, i have somewhere some code which converts quads to 3x3 and 4x4 matrix.
(for PAWN ofcourse)

I;m not able to locate the code but I could reconstruct it if it could be usefull to you.

Re: Serching Vectors from Vehicle Quats - Falco-Ger - 25.10.2011

i know the function GetVehicleRotationQuat, the problem is that i can not use those numbers, i need the vectors
and as i said i'm no genious, i don't understand the stuff in those links, it would be best if somebody just gives me the function i think...

i serched through your threads but nothing usefull there, only vehicle stats (left, right, normal, upside down) concerning VehicleRotationQuat

I don't know if a 3x3 matrix would help, maybe thats just those 3 vectors i look for?

Re: Serching Vectors from Vehicle Quats - Gamer_Z - 25.10.2011

Well the code for getting the matrix can be this:

pawn Код:

#include <a_samp>

forward Float:QuatTo3x3Matrix(Float:w,Float:x,Float:y,Float:z);
stock Float:QuatTo3x3Matrix(Float:w,Float:x,Float:y,Float:z)
{
    new Float:Matrix[3][3];
    Matrix[0][0] = 1 - (2*(y*y)) - (2*(z*z)); Matrix[0][1] = (2 * x * y) - (2 * z * w); Matrix[0][2] = (2*x*z)+(2*y*w);
    Matrix[1][0] = ( 2*x*y ) + ( 2 * z * w ); Matrix[1][1] = 1 - (2*x*x) - (2* z * z ); Matrix[1][2] = (2*y*z)-(2*x*w);
    Matrix[2][0] = ( 2*x*y ) - ( 2 * y * w ); Matrix[2][1] = (2*y* z ) + ( 2 * x * w ); Matrix[2][2] = 1 - (2*(x*x)) - (2*(y*y));
    return Matrix;
}

public OnFilterScriptInit()
{
    new Float:test[3][3];
    test = QuatTo3x3Matrix(0.0,0.0,0.0,0.0);
    return 1;
}
//http://www.euclideanspace.com/maths/geometry/rotations/conversions/quaternionToMatrix/index.htm

then using the matrix you're gonna get the vectors:
http://www.facstaff.bucknell.edu/mas...ecMultiply.htm
(or just ******: matrix to vector)
I'm also no expert at quaternions (however I'm looking for a maths teacher who can teach it to me), but I try to help you as hard as I can.

page 7+ from this pdf explain very much:
http://www.euclideanspace.com/maths/...raining001.pdf

Re: Serching Vectors from Vehicle Quats - Kar - 25.10.2011

https://sampforum.blast.hk/showthread.php?tid=270508

Re: Serching Vectors from Vehicle Quats - Falco-Ger - 26.10.2011

Quote:

Originally Posted by Gamer_Z

and instead of vectors you can use a 3d matrix, i have somewhere some code which converts quads to 3x3 and 4x4 matrix.
(for PAWN ofcourse)

do you still have the code for the 4x4 matrix?

Re: Serching Vectors from Vehicle Quats - Gamer_Z - 26.10.2011

No but I can reconstruct it (hopefully...) , well when I will be done making it I'll let ya know.

Umm..

Quote:

Originally Posted by Kar

https://sampforum.blast.hk/showthread.php?tid=270508

Which function(s) should he use? :S

pawn Код:

#include <a_samp>

public OnFilterScriptInit()
{
    new Float:test[4][4];
    test = setRotate(0.0,0.0,0.0,0.0,0.0,0.0);
    return 1;
}

forward Float:setRotate(Float:q_w,Float:q_x,Float:q_y,Float:q_z,Float:q1_x,Float:q1_y,Float:centre_x = 0.0,Float:centre_y = 0.0,Float:centre_z = 0.0);
stock Float:setRotate(Float:q_w,Float:q_x,Float:q_y,Float:q_z,Float:q1_x,Float:q1_y,Float:centre_x = 0.0,Float:centre_y = 0.0,Float:centre_z = 0.0)
{
    new Float: sqw = q_w*q_w;
    new Float: sqx = q_x*q_x;
    new Float: sqy = q_y*q_y;
    new Float: sqz = q_z*q_z;
    new Float: m00 = sqx - sqy - sqz + sqw; // since sqw + sqx + sqy + sqz =1
    new Float: m11 = -sqx + sqy - sqz + sqw;
    new Float: m22 = -sqx - sqy + sqz + sqw;

    new Float: tmp1 = q_x*q_y;
    new Float: tmp2 = q_z*q_w;
    new Float: m01 = 2.0 * (tmp1 + tmp2);
    new Float: m10 = 2.0 * (tmp1 - tmp2);

    tmp1 = q_x*q_z;
    tmp2 = q_y*q_w;
    new Float: m02 = 2.0 * (tmp1 - tmp2);
    new Float: m20 = 2.0 * (tmp1 + tmp2);

    tmp1 = q1_y*q_z;
    tmp2 = q1_x*q_w;
    new Float: m12 = 2.0 * (tmp1 + tmp2);
    new Float: m21 = 2.0 * (tmp1 - tmp2);

    new Float:a1,Float:a2,Float:a3;
    if (centre_x && centre_y && centre_z == 0.0)
    {
        a1 = a2=a3=0.0;
    }
    else
    {
        a1 = centre_x;
        a2 = centre_y;
        a3 = centre_z;
    }
    new Float: m03 = a1 - a1 * m00 - a2 * m01 - a3 * m02;
    new Float: m13 = a2 - a1 * m10 - a2 * m11 - a3 * m12;
    new Float: m23 = a3 - a1 * m20 - a2 * m21 - a3 * m22;
    new Float: m31, Float: m32;
    new Float: m30 = m31 = m32 = 0.0;
    new Float: m33 = 1.0;
    new Float: fxfMatrix[4][4];
    fxfMatrix[0][0] = m00;
    fxfMatrix[0][1] = m01;
    fxfMatrix[0][2] = m02;
    fxfMatrix[0][3] = m03;
    fxfMatrix[1][0] = m10;
    fxfMatrix[1][1] = m11;
    fxfMatrix[1][2] = m12;
    fxfMatrix[1][3] = m13;
    fxfMatrix[2][0] = m20;
    fxfMatrix[2][1] = m21;
    fxfMatrix[2][2] = m22;
    fxfMatrix[2][3] = m23;
    fxfMatrix[3][0] = m30;
    fxfMatrix[3][1] = m31;
    fxfMatrix[3][2] = m32;
    fxfMatrix[3][3] = m33;
    return fxfMatrix;
}

dunno if that's the right code, converted it from:

pawn Код:

void setRotate(sfquat q,sfvec3f centre) {
   double sqw = q.w*q.w;
   double sqx = q.x*q.x;
   double sqy = q.y*q.y;
   double sqz = q.z*q.z;
   m00 = sqx - sqy - sqz + sqw; // since sqw + sqx + sqy + sqz =1
   m11 = -sqx + sqy - sqz + sqw;
   m22 = -sqx - sqy + sqz + sqw;
   
   double tmp1 = q.x*q.y;
   double tmp2 = q.z*q.w;
   m01 = 2.0 * (tmp1 + tmp2);
   m10 = 2.0 * (tmp1 - tmp2);
   
   tmp1 = q.x*q.z;
   tmp2 = q.y*q.w;
   m02 = 2.0 * (tmp1 - tmp2);
   m20 = 2.0 * (tmp1 + tmp2);
   
   tmp1 = q1.y*q.z;
   tmp2 = q1.x*q.w;
   m12 = 2.0 * (tmp1 + tmp2);
   m21 = 2.0 * (tmp1 - tmp2);
   
    double a1,a2,a3;
     if (centre == null) {
        a1=a2=a3=0;
     } else {
        a1 = centre.x;
        a2 = centre.y;
        a3 = centre.z;
    }
    m03 = a1 - a1 * m00 - a2 * m01 - a3 * m02;
    m13 = a2 - a1 * m10 - a2 * m11 - a3 * m12;
    m23 = a3 - a1 * m20 - a2 * m21 - a3 * m22;
    m30 = m31 = m32 = 0.0;
    m33 = 1.0;
}

Re: Serching Vectors from Vehicle Quats - Falco-Ger - 26.10.2011

thank you, that should do. i got a friend who told me that he could rotate a vector pointing downwards (which is simply (0,0,-1)) around with that 4x4 matrix... i hope he can, but unfortunatualy he is very bussy at the moment so that might take some time

those vectors can be used to find offset positions around vehicles and direction vectors for the CreateGravityAffectedObject(model, x, y, z, xspeed, yspeed, zspeed, multiplier) function i am making

also those vectors can be used to create speed vectors that go to a specific direction from the vehicle (like the flares i want to make, poping in pairs left and right out of the plane)

Re: Serching Vectors from Vehicle Quats - Gamer_Z - 26.10.2011

Quote:

Originally Posted by Falco-Ger

thank you, that should do. i got a friend who told me that he could rotate a vector pointing downwards (which is simply (0,0,-1)) around with that 4x4 matrix... i hope he can, but unfortunatualy he is very bussy at the moment so that might take some time

those vectors can be used to find offset positions around vehicles and direction vectors for the CreateGravityAffectedObject(model, x, y, z, xspeed, yspeed, zspeed, multiplier) function i am making

also those vectors can be used to create speed vectors that go to a specific direction from the vehicle (like the flares i want to make, poping in pairs left and right out of the plane)

Yep quaternions are used in spacecraft heading calculations and many more, however that goes beyond my passion, I'll just stick with the goal that I'll become an public airline pilot.

Re: Serching Vectors from Vehicle Quats - Falco-Ger - 27.10.2011

what is

Float:q1_x,Float:q1_y
and
Float:centre_x = 0.0,Float:centre_y = 0.0,Float:centre_z = 0.0

?

Код:

   tmp1 = q1.y*q.z;
   tmp2 = q1.x*q.w;

Код:

if (centre_x && centre_y && centre_z == 0.0)
    {
        a1 = a2=a3=0.0;
    }
    else
    {
        a1 = centre_x;
        a2 = centre_y;
        a3 = centre_z;
    }
    new Float: m03 = a1 - a1 * m00 - a2 * m01 - a3 * m02;
    new Float: m13 = a2 - a1 * m10 - a2 * m11 - a3 * m12;
    new Float: m23 = a3 - a1 * m20 - a2 * m21 - a3 * m22;