csqrt - Linux
Overview
csqrt calculates the complex square root of a complex number. It finds both the real and imaginary components of the square root.
Syntax
csqrt [options] <complex number>
Options/Flags
- -h, –help: Display usage information and exit.
- -V, –version: Display version information and exit.
Examples
# Calculate the complex square root of (3 + 4i)
csqrt 3 + 4i
# Store the result in a variable
root=$(csqrt 3 + 4i)
echo $root
Common Issues
Error: Invalid complex number format. Ensure that the input complex number is in the format a+bi, where a and b are real numbers.
Error: Cannot compute complex square root of negative real part. The real part of the input complex number must be non-negative.
Integration
csqrt can be combined with other commands to perform advanced tasks, such as:
- Calculating the magnitude of a complex number:
magnitude=$(echo 3 + 4i | csqrt | awk '{print sqrt($1^2 + $2^2)}')
- Solving complex equations:
complex_root=$(echo "(1 + i)x^2 + (2 - i)x - 3i = 0" | cc - | csqrt)