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Piecewise quadratic polynomial approximation is a wellestablished hardware function evaluation technique. In this paper, we demonstrate the analysis and optimization of hardware implementation of sine and cosine through piecewise quadratic polynomial for single-precision floating-point operations. First, detailed approximation error analysis was used to rapidly obtain the non-uniform segmentation and guarantee faithful rounding. Second, theoretical analysis demonstrates that the monotonicity ofdoi:10.1587/elex.18.20210158 fatcat:2pc7c3yi3rgohj65muesm7idga