Math 3D

Work with distances, directions, and rotations in three dimensions.

Feature: Math

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float llVecDist(vector vec_a, vector vec_b)Returns a float representing the undirected, non-negative distance between vectors vec_a and vec_b.vector llVecNorm(vector vec)Returns the normalized unit vector pointing the same direction as vec. If <0, 0, 0>, return <0, 0, 0>.rotation llRotBetween(vector start_vec, vector end_vec)Returns the shortest-path quaternion that rotates start_vec onto end_vec.

Reference

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14 topic entries

• float llAngleBetween(rotation start_rot, rotation end_rot)function

  Returns the angle, in radians, between rotations start_rot and and end_rot.

• rotation llAxes2Rot(vector fwd, vector left, vector up)function

  Returns the rotation defined by the coordinate axes fwd, left, and up.

• rotation llAxisAngle2Rot(vector axis, float angle)function

  Returns the rotation that rotates angle radians around the axis vector.

• rotation llEuler2Rot(vector vec)function

  Returns the quaternion representation of the Euler angles (in radians) within vec.

• float llRot2Angle(rotation q)function

  Returns the angle, in radians, that q rotates.

• vector llRot2Axis(rotation q)function

  Returns the unit vector axis that q rotates around.

• vector llRot2Euler(rotation q)function

  Returns a vector of Euler angles (roll, pitch, yaw) of q. The angles will be in radians.

• vector llRot2Fwd(rotation q)function

  Returns the unit vector pointing toward positive X (forward) in the coordinate space of rotation q. Equivalent to <1, 0, 0> * q.

• vector llRot2Left(rotation q)function

  Returns the unit vector pointing toward positive Y (left) in the coordinate space of rotation q. Equivalent to <0, 1, 0> * q.

• vector llRot2Up(rotation q)function

  Returns the unit vector pointing toward positive Z (up) in the coordinate space of rotation q. Equivalent to <0, 0, 1> * q.

• rotation llRotBetween(vector start_vec, vector end_vec)function

  Returns the shortest-path quaternion that rotates start_vec onto end_vec.

• float llVecDist(vector vec_a, vector vec_b)function

  Returns a float representing the undirected, non-negative distance between vectors vec_a and vec_b.

• float llVecMag(vector vec)function

  Returns the magnitude (geometric length) of vec.

• vector llVecNorm(vector vec)function

  Returns the normalized unit vector pointing the same direction as vec. If <0, 0, 0>, return <0, 0, 0>.