(Textbook formulas do not need to treat these situations separately, as they theoretically assume infinite accuracy of intermediate results an actual implementation, however, has to work with the limited accuracy given by real-life processors.) To this end, the various cases have to be distinguished with pedantic care. Especially for complex functions, this necessitates a very thorough treatment of many different situations.

Without any compromise, top priority is always given to the mathematically correct result, with the accuracy demanded for the respective data type. In contrast to the written-down-and-compiled textbook formulas of most other available complex libraries (including those coming with Visual C++ and the Borland compilers), the implementation of CMATH was guided by the following rules: Only for the most simple tasks, alternative inline C++ functions are used in the C++ version.Īs far as the scope of CMATH overlaps with the complex class implementations of Visual C++, Borland C++, and Delphi, CMATH is a high-quality replacement for the latter, which are all quite inefficient and inaccurate. Superior speed, accuracy and safety are achieved through the implementation in Assembly language (as opposed to the compiled or inline code of available complex C++ class libraries). As far as possible, all functions have the same names in the Pascal/Delphi version as in the C/C++ version. It is also included in the OptiVec package.Īll functions may alternatively be called from classic C and Pascal/Delphi with type-specific function names (like cf_sin, cd_exp, pe_sqrt), or from C++ and Delphi with overloaded function names and operators (like sin, exp, sqrt, operator + operators only in C++). CMATH is available as a stand-alone product. CMATH for Borland C/C++ is a useful and comprehensive library for complex-number arithmetics and mathematics, both in cartesian and in polar coordinates, for C/C++ and Pascal/Delphi compilers.

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