is-close

Check if either:

1. two numbers are equal within a given tolerance

1. the values in two arrays of numbers are equal within a given tolerance

isClose(a, b, rtol, atol, equalNaN, isCloseScaler) ⇒ boolean|Array<boolean>

Check if a is approximately equal to b. This check uses similar logic to Python math.isClose. By default values are considered to be close if: ``` abs(a - b) <= max(rtol max(abs(a), abs(b)), atol). ```

Returns: boolean - Returns true if both a and b are considered to be close. | Parameter | Type | Description | | ---------------- | --- | --- | | a | number | First value to compare | | b | number | Second value to compare | | rtol | number [optional] | The relative tolerance parameter
default = 1e-09 | | atol | number [optional] | The absolute tolerance parameter
default = 0.0 | | equalNaN | boolean [optional] | Whether to compare NaNs as equal.
If true, when a is NaN and b is NaN they will be considered equal.
default = false | | isCloseScaler | IsCloseScaler [optional] | Method used to scale the absolute difference into a relative difference.
default = IsCloseScalers.maxAbsAOrB |

Overload

Returns: Array<boolean> - Returns an array of booleans corresponding to the result of calling isClose() on the individual values in the arrays a and b. | Parameter | Type | Description | | ---------------- | --- | --- | | a | Array<number> | First value to compare | | b | Array<number> | Second value to compare | | rtol | number [optional] | The relative tolerance parameter
default = 1e-09 | | atol | number [optional] | The absolute tolerance parameter
default = 0.0 | | equalNaN | boolean [optional] | Whether to compare NaNs as equal.
default = false | | isCloseScaler | IsCloseScaler [optional] | Method used to scale the absolute difference into a relative difference.
default = IsCloseScalers.maxAbsAOrB |

IsCloseScalers#maxAbsAOrB(a, b) => number

Returns: number - Relative difference scaling: Max(|a|,|b|)

IsCloseScalers#maxAOrB(a, b) => number

Returns: number - Relative difference scaling: Max(a,b)

IsCloseScalers#minAbsAOrB(a, b) => number

Returns: number - Relative difference scaling: Min(|a|,|b|)

IsCloseScalers#minAOrB(a, b) => number

Returns: number - Relative difference scaling: Min(a,b)

IsCloseScalers#meanAbs(a, b) => number

Returns: number - Relative difference scaling: Mean: (|a|+|b|)/2, using Welford's method

IsCloseScalers#mean(a, b) => number

Returns: number - Relative difference scaling: Mean: (a+b)/2, using Welford's method

IsCloseScalers#absA(a) => number

Returns: number - Relative error scaling: abs(a)

IsCloseScalers#absB(a, b) => number

Returns: number - Relative error scaling: abs(b)

Installation

```sh npm install is-close --save ```

Example Usage

```javascript var isClose = require("is-close"); // Examples of checking relative difference between first two parameters console.log(isClose.isClose(1e-7, 1e-8)); console.log(isClose.isClose(1e10, 1.0000000001e10)); console.log(isClose.isClose(1e-7, 1e10, 1e-8, 1.0000000001e10)); // Examples of relative error relative to first parameter // - note how result is not symmetric console.log(isClose.isClose(1.0, 0.9, 0.1, undefined, undefined, isClose.IsCloseScalers.absA)); console.log(isClose.isClose(0.9, 1.0, 0.1, undefined, undefined, isClose.IsCloseScalers.absA)); ``` Output should be ``` false true false, true true false ```

TypeScript

```typescript import { isClose, IsCloseScalers } from 'is-close'; // Examples of checking relative difference between first two parameters console.log(isClose(1.0, 1.000000001)); console.log(isClose(1.0, 1.0000000001)); console.log(isClose(1.0, 1.0, 1.000000001, 1.0000000001)); // Examples of relative error relative to first parameter // - note how result is not symmetric console.log(isClose(1.0, 0.9, 0.1, undefined, undefined, IsCloseScalers.absA)); console.log(isClose(0.9, 1.0, 0.1, undefined, undefined, IsCloseScalers.absA)); ``` Output should be ``` false true false, true true false ```

License

MIT © Steve Bosman