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Function: vector llRot2Euler( rotation quat );

Returns a vector that is the Euler representation (roll, pitch, yaw) of quat, with each component expressed in radians.

• rotation quat Any valid rotation


The Euler angle vector (in radians) is converted from a rotation by doing the rotations around the 3 axes in Z, Y, X order.


  • Angles greater than PI radians (180 degrees) are returned as negative angles.
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        rotation input = llGetRot();
        llSay(0, "The Rot2Euler of " + (string)input + " is: " + (string) llRot2Euler(input) );
// This script rotates a prim by 15 degrees each time the prim is touched

// While not the best way of achieving the result,
// this script demonstrates the use of llRot2Euler and llEuler2Rot
// and the use of more human-friendly degrees rather than radians

    touch_start(integer total_number)
        // Get the object's current rotation as a quarternion
        rotation rot = llGetRot();
        // Convert the rotation to a euler with roll, pitch, and yaw in radians
        vector euler = llRot2Euler(rot);
        // convert the angles from radians to degrees
        euler *= RAD_TO_DEG;
        // Add 15 degrees on the Z axis        
        euler += <0, 0, 15>;
        // Say the current euler values in degrees
        llSay(0, (string) euler);         
        // convert degrees back to radians
        euler *= DEG_TO_RAD;
        // Convert the euler back to a rotation quarternion
        rot =  llEuler2Rot (euler);
        // Apply the updated rotation to the prim   
        llSetRot( rot ); 

See Also


•  llEuler2Rot


•  "Wikipedia logo"Euler Angles

Deep Notes

Reference Implementation

vector uRot2Euler(rotation rot)
        vector ret;
        vector temp;

        temp = <0,0,1>*rot;
        ret.x = llAtan2(temp.z,temp.y)-PI/2;
        rot = rot/llEuler2Rot(<ret.x,0,0>);
        temp = <0,0,1>*rot;
        ret.y = -llAtan2(temp.z,temp.x)+PI/2;
        rot = rot/llEuler2Rot(<0,ret.y,0>);
        temp = <1,0,0>*rot;
        ret.z = llAtan2(temp.y,temp.x);
        return ret;

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function vector llRot2Euler( rotation quat );