.. _auto_math_scale_offset:

*SCALE A VALUE THEN OFFSET IT*
==============================

Applies a linear scale-then-offset transformation to a single scalar value, returning (value × scale) + offset. Use this worker whenever a dimensionless rescaling or unit-shift is needed on a scalar quantity within a workflow.

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

Classification: **process**.

Tagged: ``linear_transform``, ``math``, ``offset``, ``scalar``, ``scale``, ``scale_offset``.

Inputs
------

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

   * - Label
     - ID
     - Type
     - Default
     - Required
     - Description
   * - Value
     - datatobescaledandoffset
     - scalar
     - —
     - 
     - The scalar value to be transformed; connect the upstream output that needs rescaling or shifting.
   * - Scale
     - scale
     - float
     - 1.0
     - 
     - Multiplicative scale factor applied to the input value before the offset; dimensionless float, defaults to 1.0 (no scaling).
   * - Offset
     - offset
     - float
     - 0.0
     - 
     - Additive offset applied after scaling; must carry the same units as the scaled value, defaults to 0.0 (no shift).

Outputs
-------

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   :header-rows: 1
   :widths: 20 20 20 20

   * - Label
     - ID
     - Type
     - Description
   * - math_scale_offset_output_1
     - math_scale_offset_output_1
     - scalar
     - Resulting scalar after the linear transformation (value × scale) + offset, in the same units as the offset input.

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

- data.curve.transform
- data.units

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

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

.. raw:: html

   <hr style="margin-top:2em">
   <p style="font-size:11px;color:#888">
   Auto-generated from <code>transformation</code> schema. Worker id: <code>math_scale_offset</code>. Schema hash: <code>e7fbc404383c</code>. Hand-curated docs in <code>workerexamples/</code> override this page when present.
   </p>