.. _auto_curve_get_enclosed_area:

*GET THE ENCLOSED AREA FROM COORDINATES*
========================================

Computes the enclosed (signed or absolute) area of a closed or self-intersecting 2-D curve defined by XY coordinate pairs. Use this worker whenever you need a scalar area metric from a curve — e.g. force-displacement hysteresis energy, stress-strain loop area, or any polygon enclosed by a data series.

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

Classification: **process**.

Tagged: ``curve_integral``, ``enclosed_area``, ``hysteresis``, ``polygon_area``, ``scalar_output``, ``shoelace``, ``xy_coordinates``.

Inputs
------

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

   * - Label
     - ID
     - Type
     - Default
     - Required
     - Description
   * - Curve Representing Coordinates
     - curverepresentingcoordinates
     - vector
     - —
     - 
     - XY coordinate curve whose enclosed area is to be computed (e.g. a force-displacement loop, stress-strain cycle, or any closed polygon); supply as a two-column vector curve — X values in the first channel and Y values in the second. Optional: if omitted the worker returns no result.

Outputs
-------

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

   * - Label
     - ID
     - Type
     - Description
   * - curve_get_enclosed_area_output_1
     - curve_get_enclosed_area_output_1
     - scalar
     - Scalar value representing the enclosed area of the input curve, in the natural units of X × Y (e.g. N·mm if the curve is force vs. displacement); computed via the shoelace / trapezoidal-integration method over the coordinate pairs.

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

- data.curve.transform
- data.statistics
- engineering.material.characterization

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

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

.. raw:: html

   <hr style="margin-top:2em">
   <p style="font-size:11px;color:#888">
   Auto-generated from <code>transformation</code> schema. Worker id: <code>curve_get_enclosed_area</code>. Schema hash: <code>7bec2a9eebf1</code>. Hand-curated docs in <code>workerexamples/</code> override this page when present.
   </p>