#Linpack benchmark equations full#
#Linpack benchmark equations software#

It also generates the four data type variants of the programs. It manipulates and formats Fortran programs to clarify their structure.

#Linpack benchmark equations software#

TAMPR was a powerful software analysis tool developed by Jim Boyle and Ken Dritz at Argonne. In fact, we, the authors, did not actually write the final programs, TAMPR did. Go-to's and statement numbers were used only to exit blocks and properly handle possibly empty loops. The scope of loops and if-then-else constructions were carefully shown by indenting. We adopted a disciplined programming style and expected people as well as machines to read the codes. Programming StyleДЇortran at the time was notorious for unstructured, unreadable, 'spaghetti' code. CO FA SL DIДЇollowing this naming convention the subroutine for computing the SVD, the singular value decomposition, fortuitously becomes SSVDC. This is probably the most important routine in the package. For example, DGEFA factors a double precision matrix. An initial S may be replaced by any of D, C, or Z. This chart shows all 44 of the LINPACK subroutines. The final two letters, YY, indicate the computation to be done. (A packed array is the upper half of a symmetric matrix stored with one linear subscript.) GE General The next two letters, XX, indicate the form of the matrix or its decomposition.

#Linpack benchmark equations full#

Unlike EISPACK which follows Algol and has separate arrays for the real and imaginary parts of a complex matrix, LINPACK takes full advantage of Fortran complex. Standard Fortran provides three such types and, although not standard, many systems provide a fourth type, double precision complex, COMPLEX*16. The first letter, T, indicates the matrix data type. We adopted a naming convention with five letter names of the form TXXYY. ContentsДЇortran subroutine names at the time were limited to six characters. Dongarra and I had previously worked on EISPACK. The three of us at universities worked at our home institutions during the academic year and we all got together at Argonne in the summer. James Bunch, University of California, San Diego.Jack Dongarra, Argonne National Laboratory.