48 lines
937 B
Markdown
48 lines
937 B
Markdown
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<!-- Note: This file is automatically generated from source code comments. Changes made in this file will be overridden. -->
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# Function invmod
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Calculate the (modular) multiplicative inverse of a modulo b. Solution to the equation `ax ≣ 1 (mod b)`
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See https://en.wikipedia.org/wiki/Modular_multiplicative_inverse.
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## Syntax
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```js
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math.invmod(a, b)
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```
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### Parameters
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Parameter | Type | Description
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--------- | ---- | -----------
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`a` | number | BigNumber | An integer number
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`b` | number | BigNumber | An integer number
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### Returns
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Type | Description
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---- | -----------
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number | BigNumber | Returns an integer number where `invmod(a,b)*a ≣ 1 (mod b)`
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### Throws
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Type | Description
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---- | -----------
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## Examples
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```js
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math.invmod(8, 12) // returns NaN
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math.invmod(7, 13) // return 2
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math.invmod(15151, 15122) // returns 10429
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```
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## See also
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[gcd](gcd.md),
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[xgcd](xgcd.md)
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