.. _auto_definetable_interpolate:

*RETURN THE INTERPOLATED Y-VALUE BASED ON VALUE AND CURVE X VALUE*
==================================================================

Performs a 2-D lookup on a define-table (a collection of value–curve pairs) by accepting a table row selector (value) and a curve x-coordinate, then returns the interpolated y-value at that position. Use this worker whenever you need to resolve a scalar result from a piecewise-linear table defined upstream in the workflow.

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

Classification: **process**.

Tagged: ``curve``, ``define_table``, ``interpolation``, ``lookup``, ``piecewise_linear``, ``scalar``, ``table_value``.

Inputs
------

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

   * - Label
     - ID
     - Type
     - Default
     - Required
     - Description
   * - Define Table
     - dt1
     - define_table
     - —
     - 
     - A define_table object containing one or more (value, curve) pairs that form the lookup table; connect the output of an upstream Define Table worker here.
   * - Value
     - value
     - scalar
     - —
     - 
     - Dimensionless scalar used to select (or interpolate between) rows in the define-table, corresponding to the table's first axis (e.g. strain rate, temperature, or any parametric index).
   * - Curve X Value
     - curve_
     - scalar
     - —
     - 
     - The x-coordinate along the selected curve at which the interpolated y-value is evaluated; must lie within the x-range of the curve to avoid extrapolation.

Outputs
-------

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

   * - Label
     - ID
     - Type
     - Description
   * - Define Table
     - define_table
     - scalar
     - Interpolated scalar y-value read from the define-table at the specified (value, curve x) position; units match the y-axis of the source curves.

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

- data.curve.pair
- 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=definetable_interpolate <https://www.d3view.com/api/workflow/example?id=definetable_interpolate>`_

.. raw:: html

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   Auto-generated from <code>transformation</code> schema. Worker id: <code>definetable_interpolate</code>. Schema hash: <code>87ab59f4dca9</code>. Hand-curated docs in <code>workerexamples/</code> override this page when present.
   </p>