CMATH is a comprehensive library for complex-number arithmetics and mathematics. The following features make CMATH an ideal replacement for the unit UComplex as well as for other available complex class libraries: 1. High-performance implementation in machine code leads to superior speed. 2. Accuracy and safety are greatly enhanced. 3. Single- and Double-precision complex functions are given their own, individually optimized treatment. 4. Polar coordinates (magnitude;angle) are supported in addition to the usual cartesian coordinates (real;imaginary).