.. _auto_curve_get_optimum_x:

*FIND OPTIMUM VALUE FROM THE CURVE*
===================================

Scans a curve and returns the x-value at which the y-value is minimized or maximized, using a convergence factor to handle near-flat optima. Use this worker whenever you need to locate the optimal operating point or design parameter from a response curve.

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

Classification: **process**.

Tagged: ``convergence``, ``curve_transform``, ``get_optimum_x``, ``maximize``, ``minimize``, ``optimum``.

Inputs
------

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

   * - Label
     - ID
     - Type
     - Default
     - Required
     - Description
   * - Curve
     - curve
     - vector
     - —
     - 
     - Input curve (x/y vector pair) to search for the optimum; must contain at least two points spanning a measurable y-range.
   * - Curve
     - objective
     - list
     - minimize
     - 
     - Optimization direction: 'minimize' to find the x at the lowest y-value or 'maximize' to find the x at the highest y-value; defaults to 'minimize'.
   * - Convergence Factor
     - convergence_factor
     - scalar
     - 0.001
     - 
     - Fraction of the total y-range used as a flatness threshold — if the y-value varies by less than this factor × y-range the curve is considered converged; dimensionless, defaults to 0.001.

Outputs
-------

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

   * - Label
     - ID
     - Type
     - Description
   * - curve_get_optimum_x_output_1
     - curve_get_optimum_x_output_1
     - scalar
     - Scalar x-value at which the curve reaches its minimum or maximum y-value according to the chosen objective, in the same units as the input curve's x-axis.

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

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   Auto-generated from <code>transformation</code> schema. Worker id: <code>curve_get_optimum_x</code>. Schema hash: <code>6ef033c2c0c1</code>. Hand-curated docs in <code>workerexamples/</code> override this page when present.
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