# cabsf - Linux

## Overview

`cabsf`

is a command-line utility used to perform basic arithmetic operations on complex numbers represented in Cartesian form (real and imaginary parts). It supports addition, subtraction, multiplication, and division of complex numbers and provides various options to control the output format and precision.

## Syntax

```
cabsf [options] [real_part] [imaginary_part] [operator] [real_part] [imaginary_part]
```

### Parameters:

**real_part**: The real part of the first complex number.**imaginary_part**: The imaginary part of the first complex number.**operator**: The arithmetic operator to use (+, -, *, /).**real_part**: The real part of the second complex number (for addition, subtraction, and multiplication).**imaginary_part**: The imaginary part of the second complex number (for addition, subtraction, and multiplication).

## Options/Flags:

**-p**: Specify the precision for the output (default: 6 decimal places).**-i**: Display the result as an imaginary number (with a leading ‘i’).**-h, –help**: Print usage information.

## Examples:

**Addition:**

```
cabsf 3 4 + 5 6
```

Output: `8 + 10i`

**Subtraction:**

```
cabsf 8 10 - 3 4
```

Output: `5 + 6i`

**Multiplication:**

```
cabsf 2 3 * 4 5
```

Output: `23 + 14i`

**Division:**

```
cabsf 10 + 20i / 3 + 4i
```

Output: `2.5 - 5i`

**Custom Precision:**

```
cabsf -p 2 3.14 1.618 * 2.71 3.14
```

Output: `8.58 + 5.11i`

## Common Issues:

**Division by zero**: Attempting to divide by zero will result in an error. Ensure the denominator is not zero.**Invalid operator**: Using an invalid operator (not +, -, *, /) will result in an error.

## Integration:

`cabsf`

can be used in pipelines or scripts to perform complex arithmetic operations. For example, the following command chain finds the average of two complex numbers:

```
complex1_real=3
complex1_imaginary=4
complex2_real=5
complex2_imaginary=6
average_real=$(cabsf $complex1_real $complex1_imaginary + $complex2_real $complex2_imaginary | cabs $ - / 2)
average_imaginary=$(cabsf $complex1_imaginary $complex2_imaginary + $complex2_imaginary $complex1_imaginary | cabs $ - / 2)
echo "Average: $average_real + $average_imaginary i"
```

## Related Commands:

`complex`

: Convert a complex number between rectangular and polar forms.`dc`

: An arbitrary-precision calculator.`bc`

: A basic calculator.