MathUtil

MathUtil

Description

Util for mathematic operations

Functions

• directionToPitchYaw
• eulerToDirection

directionToPitchYaw

Description

Calculates the pitch and yaw in radians of the given direction.

Definition

directionToPitchYaw(float directionX, float directionY, float directionZ)

Arguments

float	directionX	The x axis of the direction.
float	directionY	The y axis of the direction.
float	directionZ	The z axis of the direction.

Return Values

float	pitch	The pitch (x axis) of the rotation.
float	yaw	The yaw (y axis) of the rotation.

Code

function MathUtil.directionToPitchYaw(directionX, directionY, directionZ)
    return math.asin( - directionY), math.atan2(directionX, directionZ)
end

eulerToDirection

Description

Converts the given euler yaw and pitch into a direction vector.

Definition

eulerToDirection(float yaw, float pitch)

Arguments

float	yaw	The yaw (y rotation) of the euler.
float	pitch	The pitch (x rotation) of the euler.

Return Values

float	x	The x axis of the direction.
float	y	The y axis of the direction.
float	z	The z axis of the direction.

Code

function MathUtil.eulerToDirection(yaw, pitch)

    -- The length of the x and y axis.When the direction is pointing straight up or down; this will be 0.
    local xzLength = math.cos( - pitch)

    -- Rotate the node around the y axis.
    return xzLength * math.sin(yaw), math.sin( - pitch), xzLength * math.cos(yaw)
end