pitch

Angle SRL::Math::Types::EulerAngles::pitch

Rotation around the X axis (up/down).

Represents the vertical rotation that causes looking up or down. In the intrinsic Tait-Bryan X-Y-Z rotation sequence, pitch is applied first.

Mathematical properties:

• Range: Typically constrained to [-90°, 90°] to avoid gimbal lock
• Singularities occur at ±90° when used in conjunction with yaw and roll
• Positive pitch rotates upward (counter-clockwise around X-axis when viewed from positive X)
• Negative pitch rotates downward (clockwise around X-axis when viewed from positive X)

Common applications:

• Camera control systems (looking up/down)
• Flight simulators (aircraft nose up/down)
• Character head movement

Note

When approaching ±90°, the system may experience gimbal lock where yaw and roll rotations become indistinguishable. Consider using quaternions for applications requiring full 360° rotation freedom.