We present TaylUR, a Fortran 95 module to automatically compute the numerical values of a complex-valued function's derivatives w.r.t. several variables up to an arbitrary order in each variable, but excluding mixed derivatives. Arithmetic operators and Fortran 95 intrinsics are overloaded to act correctly on objects of defined type taylor, which encodes a function along with its first few deri...

We describe a technique and a tool supporting partial evaluation of Fortran programs, i.e. their specialization for specific values of their input variables. We aim at understanding old programs, which have become very complex due to numerous extensions. From a given Fortran program and these values of its input variables, the tool provides a simplified program, which behaves like the initial o...

Data Partitioning and mapping is one of the most important steps of in writing a parallel program; especially data parallel one. Recently, Fortran D, and subsequently, High Performance Fortran (HPF) have been proposed to allow users to specify data distributions and alignments for arrays in programs. This paper presents the design of a Fortran 90D compiler that takes a Fortran 90D program as in...

The program MadGraph is presented which automatically generates postscript Feynman diagrams and Fortran code to calculate arbitrary tree level helicity amplitudes by calling HELAS[1] subroutines. The program is written in Fortran and is available in Unix and VMS versions. MadGraph currently includes standard model interactions of QCD and QFD, but is easily modi ed to include additional models s...

To eeciently parallelize a scientiic application with a data-parallel compiler requires certain structural properties in the source program, and conversely, the absence of others. A recent parallelization eeort of ours reinforced this observation and motivated this correspondence. Speciically, we have transformed a Fortran 77 version of Gromos, a popular dusty-deck program for molecular dynamic...

We describe algorithm MINRES-QLP and its FORTRAN 90 implementation for solving symmetric or Hermitian linear systems or least-squares problems. If the system is singular, MINRES-QLP computes the minimum-length solution. In all cases, it circumvents a potential instability in the original MINRES algorithm. A positive-definite preconditioner may be supplied. Our FORTRAN 90 implementation illustra...

Bouclettes is a source to source loop nest parallelizer. It takes as input Fortran uniform, perfectly nested loops and gives as output a HPF (High Performance Fortran) program with data distribution and parallel ($HPF! INDEPENDENT) loops. This paper explains how the HPF program is built from some scheduling and allocation functions automatically generated by Bouclettes.

This paper describes two Fortran utilities for multiprecision computation. The first is a package of Fortran subroutines that perform a variety of arithmetic operations and transcendental functions on floating point numbers of arbitrarily high precision. This package is in some cases over 200 times faster than that of certain other packages that have been developed for this purpose. The second ...

A brief description of each phase of the 1401 FORTRAN compiler is given to illustrate the general scheme. The IBM 1401 FORTRAN compiler' was designed as a set of phases that operate sequentially on the source program. The source program having been placed in core storage, the compiler phases enter core one at a time. Each phase overlays its predecessor, operates on the source program and, in tu...