Pipelined Range Reduction for Floating Point Numbers
Francisco J. Jaime, Julio Villalba, Javier Hormigo, Emilio L. Zapata · 2006
This paper presents a new pipelined architecture to deal with range reduction for floating point representation. It is based on Horner's scheme and a look-up table. The overall design has been optimized for a module equal to 2π, which is the most widely used due to trigonometric functions requirements. To ensure an accuracy of one unit in the last place (ULP), a complete error propagation study has been carried out.