.. index:: single: natural .. _natural/0:

.. rst-class:: right

object

natural

Natural numbers data type predicates.

| Availability: | logtalk_load(types(loader))

| Author: Paulo Moura | Version: 2:0:0 | Date: 2026-02-02

| Compilation flags: | static, context_switching_calls

| Extends: | public :ref:`integer <integer/0>`

| Remarks: | (none)

| Inherited public predicates: |  :ref:`comparingp/0::(<)/2`  :ref:`comparingp/0::(=:=)/2`  :ref:`comparingp/0::(=<)/2`  :ref:`comparingp/0::(=\=)/2`  :ref:`number/0::=~= / 2`  :ref:`comparingp/0::(>)/2`  :ref:`comparingp/0::(>=)/2`  :ref:`number/0::approximately_equal/2`  :ref:`number/0::approximately_equal/3`  :ref:`integer/0::between/3`  :ref:`termp/0::check/1`  :ref:`termp/0::depth/2`  :ref:`number/0::essentially_equal/3`  :ref:`termp/0::ground/1`  :ref:`termp/0::new/1`  :ref:`termp/0::numbervars/1`  :ref:`termp/0::numbervars/3`  :ref:`termp/0::occurs/2`  :ref:`integer/0::plus/3`  :ref:`integer/0::power_sequence/4`  :ref:`integer/0::sequence/3`  :ref:`integer/0::sequence/4`  :ref:`termp/0::singletons/2`  :ref:`termp/0::subsumes/2`  :ref:`termp/0::subterm/2`  :ref:`integer/0::succ/2`  :ref:`number/0::tolerance_equal/4`  :ref:`termp/0::valid/1`  :ref:`termp/0::variables/2`  :ref:`termp/0::variant/2`  :ref:`termp/0::varnumbers/2`  :ref:`termp/0::varnumbers/3`  

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

Public predicates

.. index:: factorial/2 .. _natural/0::factorial/2:

factorial/2 ^^^^^^^^^^^^^^^

Computes the factorial of a non-negative integer.

| Compilation flags: | static

| Template: | factorial(N,Factorial) | Mode and number of proofs: | factorial(+non_negative_integer,-non_negative_integer) - one

---

.. index:: binomial/3 .. _natural/0::binomial/3:

binomial/3 ^^^^^^^^^^^^^^

Computes the binomial coefficient. N must be greater than or equal to K (fails otherwise).

| Compilation flags: | static

| Template: | binomial(N,K,Binomial) | Mode and number of proofs: | binomial(+non_negative_integer,+non_negative_integer,-non_negative_integer) - zero_or_one

---

Protected predicates

(no local declarations; see entity ancestors if any)

Private predicates

(no local declarations; see entity ancestors if any)

Operators

(none)