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Custom operators, working at custom precisions, are a key ingredient to fully exploit the FPGA flexibility advantage for high-performance computing. Unfortunately, such operators are costly to design, and application designers tend to rely on less efficient off-the-shelf operators. To address this issue, an open-source architecture generator framework is(More)
The implementation of high-precision floating-point applications on reconfigurable hardware requires large multipliers. Full multipliers are the core of floating-point multipliers. Truncated multipliers, trading resources for a well-controlled accuracy degradation, are useful building blocks in situations where a full multiplier is not needed. This work(More)
This article studies two common situations where the flexibility of FPGAs allows one to design application-specific floating-point operators which are more efficient and more accurate than those offered by processors and GPUs. First, for applications involving the addition of a large number of floating-point values, an ad-hoc accumula-tor is proposed. By(More)
Most current square root implementations for FPGAs use a digit recurrence algorithm which is well suited to their LUT structure. However , recent computing-oriented FPGAs include embedded multipliers and RAM blocks which can also be used to implement quadratic convergence algorithms, very high radix digit recurrences, or polynomial approximation algorithms.(More)
—Recent increase in the complexity of the circuits has brought high-level synthesis tools as a must in the digital circuit design. However, these tools come with several limitations, and one of them is the efficient use of pipelined arithmetic operators. This paper explains how to generate efficient hardware with pipelined operators for regular codes with(More)