Risa/Asir

Risa is the name of whole libraries of a computer algebra system (CAS) which is under development at FUJITSU LABORATORIES LIMITED. The structure of Risa is as follows. - The basic algebraic engine This is the part which performs basic algebraic operations, such as arithmetic operations, to algebraic objects, e.g., numbers and polynomials, which are already converted into internal forms. It exists, like `libc.a’ of UNIX, as a library of ordinary UNIX system. The algebraic engine is written mainly in C language and partly in assembler. It serves as the basic operation part of Asir, a standard language interface of Risa. - Memory Manager Risa employs, as its memory management component (the memory manager), a free software distributed by Boehm (gc-6.1alpha5). It is proposed by [Boehm,Weiser], and developed by Boehm and his colleagues. The memory manager has a memory allocator which automatically reclaims garbages, i.e., allocated but unused memories, and refreshes them for further use. The algebraic engine gets all its necessary memories through the memory manager. - Asir Asir is a standard language interface of Risa’s algebraic engine. It is one of the possible language interfaces, because one can develop one’s own language interface easily on Risa system. Asir is an example of such language interfaces. Asir has very similar syntax and semantics as C language. Furthermore, it has a debugger that provide a subset of commands of dbx, a widely used debugger of C language.

This software is also referenced in ORMS.


References in zbMATH (referenced in 111 articles , 1 standard article )

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  1. Izu, Tetsuya: Calculation of modular polynomials by Risa/Asir (1998)
  2. -: Research on the theory and applications of computer algebra. Proceedings of a symposium held at the Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan, November 18--21, 1996 (1997)
  3. Kondoh, Yuji; Miyosh, Yoshihiko; Saito, Tomokatsu: An extension of the plotting functions on Risa/Asir (1997)
  4. Masayuki, Noro: Computation of replicable functions using Risa/Asir (1997)
  5. Minakuchi, Hiroyuki; Kai, Hiroshi; Noda, Matu-Tarow: Calculation of generalized matrix inverses using Risa/Asir and their application to associative memory (1997)
  6. Noro, Masayuki; McKay, John: Computation of replicable functions on Risa/Asir (1997)
  7. Oaku, Toshinori: Algorithms for the (b)-function and (D)-modules associated with a polynomial (1997)
  8. Oaku, Toshinori: Computation of the characteristic variety and the singular locus of a system of differential equations with polynomial coefficients (1994)
  9. Niki, Naoto (ed.): Theory and applications in computer algebra. Proceedings of a symposium held at the Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan, November 24--26, 1992 (1993)
  10. Noro, Masayuki; Takeshima, Taku: Risa/Asir -- a computer algebra system (1992)
  11. Saito, Tomokatsu (ed.); Kobayashi, Hidetsune (ed.): Formula manipulation and its applications to mathematical research. Proceedings of a symposium held at the Research Institute for Mathematical Sciences, Kyoto University, Kyoto, November 25-27, 1991 (1992)

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