Complex

Many of cpplex’s operations are many times faster than those in standard C++.

While this is mostly due to standard C++’s NaN checking, it is important to note that for most use cases, NaN checking is unnecessary and causes many functions to be slow.

The following table shows a list of benchmarks comparing operations on cpplex’s cpplex::Complex type and standard C++’s std::complex type. Please note that for operations with multiple definitions, the one with all complex arguments is used for testing.

Each benchmark performs the operation N = 1e+9 times while compound assigning the result to a dummy variable and printing it to ensure volatility. Each benchmark is an average of 3 runs.

Bolded runs indicate non-negligible speed gains by cpplex over standard C++.

Function	cpplex::Complex	std::complex
operator+	0.893s	0.887s
operator-	0.893s	0.894s
operator*	0.894s	1.193s
operator/	0.895s	8.495s
mod / abs	0.910s	0.916s
arg	0.885s	0.891s
conj	0.917s	0.910s
proj	0.916s	0.916s
polar	0.897s	0.904s
exp	0.911s	0.9s
log	0.901s	0.898s
log10	0.901s	0.905s
pow	0.902s	8.649s
sqrt	0.911s	9.134s
sin	0.899s	0.899s
cos	0.893s	0.896s
tan	0.908s	0.906s
asin	0.901s	35.928s
acos	0.906s	42.850s
atan	0.901s	25.061s
sinh	0.901s	0.902s
cosh	0.905s	0.908s
tanh	0.9s	0.9s
asinh	0.911s	35.977s
acosh	0.917s	43.233s
atanh	0.908s	25.853s