.. index:: single: quadrature_protocol
.. _quadrature_protocol/0:

.. rst-class:: right

**protocol**

``quadrature_protocol``
=======================

Protocol for finite-interval scalar numerical quadrature algorithms.

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

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

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


| **Dependencies:**
|   (none)


| **Remarks:**
|    (none)

| **Inherited public predicates:**
|    (none)

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

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

.. index:: integrate/3
.. _quadrature_protocol/0::integrate/3:

``integrate/3``
^^^^^^^^^^^^^^^

Integrates the function over the given finite interval using default options.

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

| **Template:**
|    ``integrate(Lower,Upper,Integral)``
| **Mode and number of proofs:**
|    ``integrate(+number,+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)``
|    The function returns a non-numeric value:
|        ``domain_error(function_value,Value)``


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

.. index:: integrate/4
.. _quadrature_protocol/0::integrate/4:

``integrate/4``
^^^^^^^^^^^^^^^

Integrates the function over the given finite interval using the given options.

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

| **Template:**
|    ``integrate(Lower,Upper,Integral,Options)``
| **Mode and number of proofs:**
|    ``integrate(+number,+number,-number,+list(compound))`` - ``one_or_error``

| **Exceptions:**
|    An integration bound or ``Options`` is a variable:
|        ``instantiation_error``
|    An integration bound is not a number:
|        ``type_error(number,Bound)``
|    ``Options`` is not a list or contains an invalid option:
|        ``domain_error(options,Options)``
|    The function returns a non-numeric value:
|        ``domain_error(function_value,Value)``


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

.. index:: integrate/5
.. _quadrature_protocol/0::integrate/5:

``integrate/5``
^^^^^^^^^^^^^^^

Integrates the function and returns run statistics using the given options.

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

| **Template:**
|    ``integrate(Lower,Upper,Integral,Statistics,Options)``
| **Mode and number of proofs:**
|    ``integrate(+number,+number,-number,-list(compound),+list(compound))`` - ``one_or_error``

| **Exceptions:**
|    An integration bound or ``Options`` is a variable:
|        ``instantiation_error``
|    An integration bound is not a number:
|        ``type_error(number,Bound)``
|    ``Options`` is not a list or contains an invalid option:
|        ``domain_error(options,Options)``
|    The function returns a non-numeric value:
|        ``domain_error(function_value,Value)``


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

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

(none)

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

(none)

Operators
---------

(none)