منابع مشابه
Multiplication by Rational Constants
Multiplications by simple rational constants often appear in fixed-point or floating-point application code, for instance in the form of division by an integer constant. The hardware implementation of such operations is of practical interest to FPGA-accelerated computing. It is well known that the binary representation of rational constants is eventually periodic. This article shows how this fe...
متن کاملMultiplication by rational constants LIP research report
Multiplications by simple rational constants often appear in fixed-point or floating-point application code, for instance in the form of division by an integer constant. The hardware implementation of such operations is of practical interest to FPGA-accelerated computing. It is well known that the binary representation of rational constants is eventually periodic. This article shows how this fe...
متن کاملEfficient Algorithms for Integer Division by Constants Using Multiplication
We present a complete analysis of the integer division of a single unsigned dividend word by a single unsigned divisor word based on double-word multiplication of the dividend by an inverse of the divisor. The well-known advantage of this method yields run-time efficiency, if the inverse of the divisor can be calculated at compile time, since multiplication is much faster than division in arith...
متن کاملRational Conformal Field Theories and Complex Multiplication
We study the geometric interpretation of two dimensional rational conformal field theories, corresponding to sigma models on Calabi-Yau manifolds. We perform a detailed study of RCFT’s corresponding to T 2 target and identify the Cardy branes with geometric branes. The T ’s leading to RCFT’s admit “complex multiplication” which characterizes Cardy branes as specific D0-branes. We propose a cond...
متن کاملOn the constants for multiplication in Sobolev spaces
For n > d/2, the Sobolev (Bessel potential) space Hn(R,C) is known to be a Banach algebra with its standard norm ‖ ‖n and the pointwise product; so, there is a best constant Knd such that ‖fg‖n 6 Knd‖f‖n‖g‖n for all f, g in this space. In this paper we derive upper and lower bounds for these constants, for any dimension d and any (possibly noninteger) n ∈ (d/2,+∞). Our analysis also includes th...
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ژورنال
عنوان ژورنال: IEEE Transactions on Circuits and Systems II: Express Briefs
سال: 2012
ISSN: 1549-7747,1558-3791
DOI: 10.1109/tcsii.2011.2177706