mruby-complex

mruby-complex is an mrbgem that provides a Complex class for mruby, allowing for the representation and manipulation of complex numbers. It is designed to be compatible with the Complex class in standard Ruby.

Functionality

The Complex class provided by this mrbgem supports:

• Creation of complex numbers from real and imaginary parts, or using the i suffix for numbers.
• Basic arithmetic operations: addition (+), subtraction (-), multiplication (*), division (/).
• Methods to access the real and imaginary parts (real, imaginary or imag).
• Calculation of absolute value (abs, magnitude), argument/angle (arg, angle, phase), and square of the absolute value (abs2).
• Complex conjugate (conjugate, conj).
• Conversion to polar coordinates (polar).
• Conversion to other numeric types where appropriate (to_f, to_i, to_r, to_c).
• Inspection and string representation (inspect, to_s).

Usage Examples

Here are some basic examples of how to use the Complex class:

# Creating complex numbers
c1 = Complex(1, 2)      # => (1+2i)
c2 = 3 + 4i             # => (3+4i)
c3 = Complex.polar(5, Math::PI/2) # => (0.0+5.0i) (approximately)

# Arithmetic operations
puts c1 + c2  # => (4+6i)
puts c1 - c2  # => (-2-2i)
puts c1 * c2  # => (-5+10i)
puts c1 / c2  # => (0.44+0.08i)

# Accessing parts
puts c1.real      # => 1
puts c1.imaginary # => 2

# Other methods
puts c2.abs       # => 5.0
puts c2.arg       # => 0.9272952180016122 (radians)
puts c2.conjugate # => (3-4i)
puts c1.polar     # => [2.23606797749979, 1.1071487177940904]

# Numerics can be converted to Complex
puts 5.to_c       # => (5+0i)
puts 2.3.to_c     # => (2.3+0i)

# The `i` method on numerics creates a complex number with zero real part
puts 5i           # => (0+5i)
puts 2.3i         # => (0+2.3i)

Note

This mrbgem aims to provide functionality similar to the Complex class found in the standard Ruby library. Refer to the Ruby documentation for Complex for more detailed information on the behavior of various methods.