.. _auto_curve_exponential_decay:

*CREATE A DECAYING CURVE WITH POINTS*
=====================================

Generates a synthetic exponential-decay curve between a user-defined X range, sampling a configurable number of points from YSTART down to YEND. Use this worker to create smooth decay load curves or reference signals for CAE preprocessing or data-driven workflows.

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

Classification: **process**.

Tagged: ``curve_generation``, ``decay``, ``exponential_decay``, ``load_curve``, ``synthetic_curve``.

Inputs
------

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

   * - Label
     - ID
     - Type
     - Default
     - Required
     - Description
   * - Name
     - name
     - text
     - —
     - 
     - Optional label assigned to the resulting curve; leave blank to use a default name.
   * - Xmin
     - xmin
     - scalar
     - —
     - 
     - Start of the X-axis range (dimensionless scalar or user-defined units); defaults to 0 if omitted.
   * - XMAX
     - xma_x
     - text
     - —
     - 
     - End of the X-axis range (same units as xmin); must be greater than xmin.
   * - YSTART
     - ystar_t
     - scalar
     - —
     - 
     - Initial Y value from which the exponential decay begins (e.g. peak load or amplitude).
   * - YEND
     - yen_d
     - scalar
     - —
     - 
     - Final Y value toward which the curve asymptotically decays (e.g. residual or zero load).
   * - Number Of Points
     - numberof_points
     - scalar
     - —
     - 
     - Integer count of evenly-spaced X points to sample between XMIN and XMAX; higher values yield a smoother curve.
   * - Decay Coefficient
     - decay_coefficient
     - scalar
     - —
     - 
     - Positive scalar controlling the rate of decay — lower values produce a slower, longer decay; higher values produce a steeper drop.
   * - Add Zero
     - add_zero
     - string
     - yes
     - 
     - Select 'Yes' to prepend a (0, 0) point to the curve (useful for LS-DYNA load curves that must start at the origin); default is 'Yes'.

Outputs
-------

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

   * - Label
     - ID
     - Type
     - Description
   * - curve_exponential_decay_output_1
     - curve_exponential_decay_output_1
     - vector
     - Output XY vector representing the generated exponential-decay curve with the requested number of points spanning [XMIN, XMAX] and Y values decaying from YSTART to YEND.

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=curve_exponential_decay <https://www.d3view.com/api/workflow/example?id=curve_exponential_decay>`_

.. raw:: html

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   Auto-generated from <code>transformation</code> schema. Worker id: <code>curve_exponential_decay</code>. Schema hash: <code>2b0fa3a222b7</code>. Hand-curated docs in <code>workerexamples/</code> override this page when present.
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