.. index:: single: quadrature(Function)
.. _quadrature/1:

.. rst-class:: right

**category**

``quadrature(Function)``
========================

* ``Function`` - Object implementing ``univariate_function_protocol``.


Common option handling and validation for scalar quadrature algorithms.

| **Availability:** 
|    ``logtalk_load(numerical_analysis(loader))``

| **Author:** Paulo Moura
| **Version:** 1:0:0
| **Date:** 2026-09-04

| **Compilation flags:**
|    ``static``


| **Implements:**
|    ``public`` :ref:`quadrature_protocol <quadrature_protocol/0>`
| **Extends:**
|    ``public`` :ref:`options <options/0>`
| **Uses:**
|    :ref:`type <type/0>`

| **Remarks:**
|    (none)

| **Inherited public predicates:**
|     :ref:`options_protocol/0::check_option/1`  :ref:`options_protocol/0::check_options/1`  :ref:`options_protocol/0::default_option/1`  :ref:`options_protocol/0::default_options/1`  :ref:`quadrature_protocol/0::integrate/3`  :ref:`quadrature_protocol/0::integrate/4`  :ref:`quadrature_protocol/0::integrate/5`  :ref:`options_protocol/0::option/2`  :ref:`options_protocol/0::option/3`  :ref:`options_protocol/0::valid_option/1`  :ref:`options_protocol/0::valid_options/1`  

.. contents::
   :local:
   :backlinks: top

Public predicates
-----------------

(no local declarations; see entity ancestors if any)

Protected predicates
--------------------

.. index:: evaluate_integrand/2
.. _quadrature/1::evaluate_integrand/2:

``evaluate_integrand/2``
^^^^^^^^^^^^^^^^^^^^^^^^

Evaluates the integrand and checks that it returns a number.

| **Compilation flags:**
|    ``static``

| **Template:**
|    ``evaluate_integrand(Argument,Value)``
| **Mode and number of proofs:**
|    ``evaluate_integrand(+number,-number)`` - ``one_or_error``

| **Exceptions:**
|    The integrand returns a non-numeric value:
|        ``domain_error(function_value,Value)``


------------

.. index:: check_bounds/2
.. _quadrature/1::check_bounds/2:

``check_bounds/2``
^^^^^^^^^^^^^^^^^^

Checks that both integration bounds are instantiated numbers.

| **Compilation flags:**
|    ``static``

| **Template:**
|    ``check_bounds(Lower,Upper)``
| **Mode and number of proofs:**
|    ``check_bounds(+number,+number)`` - ``one_or_error``

| **Exceptions:**
|    An integration bound is a variable:
|        ``instantiation_error``
|    An integration bound is not a number:
|        ``type_error(number,Bound)``


------------

Private predicates
------------------

(no local declarations; see entity ancestors if any)

Operators
---------

(none)