.. _auto_curves_rotate_increments:

*ROTATE THE POINTS ABOUT A CENTER BY A CERTAIN ANGLE*
=====================================================

Rotates the points of one or more curves about a specified center coordinate by a given starting angle, optionally distributing the rotation across multiple increments and applying a scale factor. Use this worker when you need to incrementally sweep or fan out curve data around a pivot point along a chosen axis.

When to use
-----------

Classification: **process**.

Tagged: ``angle``, ``curve_transform``, ``increments``, ``pivot``, ``rotate``, ``scale``, ``sweep``.

Inputs
------

.. list-table::
   :header-rows: 1
   :widths: 20 20 20 20 20 20

   * - Label
     - ID
     - Type
     - Default
     - Required
     - Description
   * - Curves
     - curves
     - vector
     - —
     - 
     - One or more input curves whose points will be rotated; accepts the standard d3VIEW curve/vector format — leave empty to pass curves via a preceding workflow node.
   * - X-Value
     - x-value
     - scalar
     - —
     - 
     - X-coordinate of the center of rotation (pivot point); must be in the same units as the curve data — defaults to null (origin) if omitted.
   * - Starting Angle
     - starting_angle
     - scalar
     - —
     - 
     - Total angle of rotation in degrees applied to the curves; required for any rotation to occur — leave null to skip rotation.
   * - Increments
     - increments
     - scalar
     - 1
     - 
     - Number of equal angular sub-steps into which the starting angle is divided, producing one output curve per increment; defaults to 1 (single full rotation).
   * - Axis
     - axis
     - scalar
     - x
     - 
     - Axis along which rotation is performed: 'x' rotates about the X-axis, 'y' about the Y-axis, 'xy' applies rotation in the XY-plane; defaults to 'x'.
   * - Scale Factor
     - scale_factor
     - scalar
     - —
     - 
     - Scalar multiplier applied to the curve values after rotation; use values other than 1.0 to simultaneously rescale the rotated output — defaults to 1.0 if omitted.

Outputs
-------

.. list-table::
   :header-rows: 1
   :widths: 20 20 20 20

   * - Label
     - ID
     - Type
     - Description
   * - curves_rotate_increments_output_1
     - curves_rotate_increments_output_1
     - vector
     - Collection of rotated (and optionally scaled) curves, one per increment, in the same d3VIEW vector/curve format as the input.

Disciplines
-----------

- data.curve.transform

Runnable example
----------------

A runnable example is registered for this worker. Open the example workflow on the d3VIEW canvas: `/api/workflow/example?id=curves_rotate_increments <https://www.d3view.com/api/workflow/example?id=curves_rotate_increments>`_

.. raw:: html

   <hr style="margin-top:2em">
   <p style="font-size:11px;color:#888">
   Auto-generated from <code>transformation</code> schema. Worker id: <code>curves_rotate_increments</code>. Schema hash: <code>89877278604a</code>. Hand-curated docs in <code>workerexamples/</code> override this page when present.
   </p>