How do you check if two numbers are within a threshold of each other?

## How do you check if two numbers are within a threshold of each other?

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I need to check if an image's content length has changed. However, there are some images that seem to oscillate within about 15 or 20 bytes. So I want to say: "these two images are effectively the same if their content length is within 25 bytes".

Let's say that I have two numbers: `first` and `second` that are positive integers and a `threshold` that is also a positive integer. What is the simplest way to determine if the two numbers are within the threshold of each other?

Will this work for you?

```def in_range(hi, lo, range)
(hi-lo).abs <= range
end

in_range(5, 10, 3) #=> false
in_range(7, 10, 3) #=> true
```

And it's pretty fast regardless of range

```puts Benchmark.measure{ 10_000.times{in_range(50_000, 1_000_000_000, 53000)} }
#=>0.000000   0.000000   0.000000 (  0.000936)
```

Percent Difference, The Percent Difference comparison calculates the percentage difference between two number values in order to determine how close they are, relative to the larger The Percent Difference (PD) between two numbers is calculated in one of two to misleading results in terms of how similar two numbers are to each other. Value is between two numbers To test if a numeric value falls between two numbers, you can use the AND function with two logical tests. In the example shown, the formula in E5 is: = AND ( D5 > MIN ( B5 , C5 ), D5 < MAX ( B5 , C5 )) How this formula works At the core, this

Check whether their absolute difference is in the threshold,

```(first - second).abs <= threshold
```

Or check whether their distance is between `-threshold..threshold`, like so:

```(-threshold..threshold).cover?(first - second)
```

or so:

```(first - second).between?(-threshold, threshold)
```

How to check whether a number is in the range[low, high] using one , Ratio Manipulations in C++ | Set 2 (Comparison) · Results of comparison operations in C and C++ · Comparison of Java with other programming languages  IF statement between two numbers =IF(AND(C6>=C8,C6<=C9),C11,C12) (See screenshots below). Example of how to use the formula: Step 1: Put the number you want to test in cell C6 (150). Step 2: Put the criteria in cells C8 and C9 (100 and 999). Step 3: Put the results if true or false in cells C11 and C12 (100 and 0).

Other option, using Enumerable#include:

```(x1 - delta..x1 + delta).include? x2
```

Where `x1` is the first point, `x2` is the second point and `delta` is the threshold.

Excel formula: Value is within tolerance, To test if a numeric value falls between two numbers, you can use the AND function with two logical tests. In the example shown, the formula in E5 is: = AND ( D5 >  Between Formula in Excel for Dates: Well, dates are just numbers in Excel. So you can safely use the technique above to test if a given date in A1 falls between the two dates in A2 and A3, like this:

How can I compare numbers for equality within a tolerance in , A built-in function such as EQ (==) finds two numbers to be different even they differ return “true” when the absolute difference is below the tolerance threshold. If all values over which were going to do the tolerance test were within a small  Finding if numbers are within range. Learn more about for, loop, range, between, vector, selection, delete

How to Calculate Percent Difference, To calculate the percent difference between a final value and an initial value (​also called The everyday world is filled with so much data given in the form of percents (or between two data points, or between the same data point at different times? This often happens when conveniently round numbers make drawing  Instead, you’ll typically use them with the IF function, or within an Excel feature such as Conditional Formatting or Data Validation to perform some retrospective action if the formula evaluates to TRUE. In the formula below, the AND function is nested inside the IF function’s logical test.

How to compare numbers but allowing a tolerance in Excel?, doc compare numbers with tolerance 1. In Excel, we can apply the formula: =A1=​B1 to return a TRUE or FALSE to identify if the two compared cells are equal,  To sum numbers based on other cells being equal to either one value or another (either x or y), you can use the SUMIF function. In the example show, we are summing all sales from either the West OR North region.