Abstract: Implementing complex arithmetic routines with Single Instruction Multiple Data (SIMD) instructions requires the use of instructions that are usually not found in their real arithmetic ...

Abstract: Complex number arithmetic computation is a key arithmetic feature in modern digital communication, radar systems and optical systems. These applications require efficient representation and ...

We adapt the radix-r digit-recurrence division algorithm to complex division and square root. By prescaling the operands, we make the selection of result digits practical. This leads to a simple ...

1 0000 CADD Complex addition: Adds the real and imaginary parts of Z1 and Z2. 2 0001 CSUB Complex subtraction: Subtracts the real and imaginary parts of Z2 from Z1. 3 0010 CMUL Complex multiplication: ...

I had a certain expression involving many constant std::complex variables which were zero in either the real or imaginary slot. This code allows systematic removal of zero entries from complex ...

Large language models (LLMs) have revolutionized natural language processing (NLP) by excellently creating and understanding human-like text. However, these models often need to improve when it comes ...