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Pivot-tangent Method

This repo contains the code for pivot-tangent method - A method to polynomially approximate inverse sqrt function for application in homomorphic encryption scheme like CKKS. The file pivot_tangent_unencrypted.py can be used to find different parameters under different setttings in the pivot-tangent method. The folder inv_sqr_comp contains the implementation of pivot-tangent method in CKKS homomorphic scheme using the Microsoft SEAL library. The file inv_sqrt_comp.cpp contains the comparision of pivot-tangent method and constrained linear regression approach used in the HPCA algorithm. To run the example, clone the repo and then:-

cd inv_sqr_comp
cmake .
make
./comp

Libraries required for running inv_sqrt_comp.cpp:-

  • SEAL
  • Numpy(For plotting)

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