the Global complex Root and Pole Finding (GRPF) algorithm.
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grpfc: Global complex Roots and Poles Finding in C++
Description
grpfc attempts to find all the zeros and poles of a complex valued function with complex arguments in a fixed region.
These types of problems are frequently encountered in electromagnetics, but the algorithm can also be used for similar problems in e.g. optics, acoustics, etc.
The GRPF algorithm first samples the function on a triangular mesh through Delaunay triangulation. Candidate regions to search for roots and poles are determined and the discretized Cauchy's argument principle is applied without needing the derivative of the function or integration over the contour. To improve the accuracy of the results, a self-adaptive mesh refinement occurs inside the identified candidate regions.
Installation
- Pull source codes
git clone --recurse-submodules git@github.com:allegro0132/grpfc.git
Linux
- Install gcc complier
apt install build-essential
MacOS
- Install clang compiler
brew install cmake llvm
Common steps
- Prepare building directory
mkdir build&&cd build
- Prepare compile flags using cmake
cmake ..
- Compile the library
make
- Run the Roots and Poles solver
./main
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