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Branch cuts in complex functions in combination with signed zero and signedinfinity have important uses in fracture mechanics, jet flow and aerofoilanalysis. We present benchmarks for validating Fortran 2008 complex functions -LOG, SQRT, ASIN, ACOS, ATAN, ASINH, ACOSH and ATANH - on branch cuts witharguments of all 3 IEEE floating point binary formats: binary32, binary64 andbinary128. Results are reported with 8 Fortran 2008 compilers: GCC, Flang,Cray, Oracle, PGI, Intel, NAG and IBM. Multiple test failures were revealed,e.g. wrong signs of results or unexpected overflow, underflow, or NaN. Weconclude that the quality of implementation of these Fortran 2008 intrinsics inmany compilers is not yet sufficient to remove the need for special code forbranch cuts. The test results are complemented by conformal maps of the branchcuts and detailed derivations of the values of these functions on branch cuts,to be used as a reference. The benchmarks are freely available fromcmplx.sf.net. This work will be of interest to engineers who use complexfunctions, as well as to compiler and maths library developers.

On quality of implementation of Fortran 2008 complex intrinsic functions on branch cuts