.. _auto_curve_get_converged_x:

* COMPUTE THE X VALUE WHEN Y STOPS CHANGING*
============================================

Scans a curve and returns the x value at which the curve's y values have effectively stopped changing (converged). Convergence is detected when the local derivative falls within a tolerance fraction of the total y-range. Use this worker to automatically identify steady-state or stabilization points in time-history or iterative curves.

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

Classification: **process**.

Tagged: ``convergence``, ``curve_analysis``, ``derivative``, ``steady_state``, ``x_lookup``.

Inputs
------

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

   * - Label
     - ID
     - Type
     - Default
     - Required
     - Description
   * - Curve 1
     - curve1
     - vector
     - —
     - 
     - The input curve (x/y vector) to analyse for convergence; must be a well-sampled time-history or iteration curve — leave unconnected only if the curve is supplied upstream via context.
   * - Tolerance
     - tolerance
     - float
     - 0.01
     - 
     - Fractional tolerance applied to the y-range: if the local derivative magnitude is less than tolerance × (y_max − y_min) the curve is considered converged; dimensionless, default 0.01 (1 %) suits most smooth convergence curves — tighten toward 0.001 for noisy signals.

Outputs
-------

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

   * - Label
     - ID
     - Type
     - Description
   * - curve_get_converged_x_output_1
     - curve_get_converged_x_output_1
     - scalar
     - The x value (scalar, same units as the input curve's x-axis) at which the curve first satisfies the convergence criterion.

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

- data.curve.transform
- data.signal_processing

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

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

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   Auto-generated from <code>transformation</code> schema. Worker id: <code>curve_get_converged_x</code>. Schema hash: <code>d2779a382ec7</code>. Hand-curated docs in <code>workerexamples/</code> override this page when present.
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