'\" t
.\" Copyright (c) 2025 Bruce Hill
.\" All rights reserved.
.\"
.TH Num.near 3 2025-11-29 "Tomo man-pages"
.SH NAME
Num.near \- check if two numbers are near each other
.SH LIBRARY
Tomo Standard Library
.SH SYNOPSIS
.nf
.BI Num.near\ :\ func(x:\ Num,\ y:\ Num,\ ratio:\ Num\ =\ 1e-9,\ min_epsilon:\ Num\ =\ 1e-9\ ->\ Bool)
.fi
.SH DESCRIPTION
Checks if two numbers are approximately equal within specified tolerances. If two numbers are within an absolute difference or the ratio between the two is small enough, they are considered near each other.


.SH ARGUMENTS

.TS
allbox;
lb lb lbx lb
l l l l.
Name	Type	Description	Default
x	Num	The first number. 	-
y	Num	The second number. 	-
ratio	Num	The relative tolerance. Default is \fB1e-9\fR. 	1e-9
min_epsilon	Num	The absolute tolerance. Default is \fB1e-9\fR. 	1e-9
.TE
.SH RETURN
`yes` if `x` and `y` are approximately equal within the specified tolerances, `no` otherwise.

.SH EXAMPLES
.EX
assert (1.0).near(1.000000001) == yes
assert (100.0).near(110, ratio=0.1) == yes
assert (5.0).near(5.1, min_epsilon=0.1) == yes
.EE
.SH SEE ALSO
.BR Tomo-Num (3)