Complex Number Class

Project: Complex Number Class

[[Complex_number|Complex numbers]] is a number that can be expressed in the form `a + bi` where `a` and `b` are real numbers and `i` represents the imaginary quantity `sqrt(-1)`. Define a complex number class that can perform multiplication, division, reciprocal, addition, subtraction, absolute value (magnitude), argument (phase), square root, exponential, and natural logarithm functions.

Output

$ perl ComplexNumberClass.pl a: 1+1i b: 3+4i a + b: 4+5i a - b: -2-3i a * b: -1+7i 1 / a: 0.5-0.5i 1 / b: 0.12-0.16i a / b: 0.28-0.04i |a|: 1.4142135623731 |b|: 5 φ(a): 0.785398163397448 φ(b): 0.927295218001612 sqrt(a): 1.09868411346781+0.455089860562227i sqrt(b): 2+1i exp(a): 1.46869393991589+2.28735528717884i exp(b): -13.1287830814622-15.200784463068i ln(a): 0.346573590279973+0.785398163397448i ln(b): 1.6094379124341+0.927295218001612i

Solution