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Research and Advances Apr 1 1974

On Lion’s counter example for Gotlieb’s method for the construction of school timetables

The timetable problem is an essentially discrete problem. Although the discrete problem may have no feasible solution, there may exist a solution to the equivalent continuous problem. An example, is given, for which the nondiscrete solution can be interpreted as a set of timetables, differing from week to week, which together satisfy the long-term requirements of the timetable problem.
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Research and Advances Apr 1 1974

A simple linear model of demand paging performance

Predicting the performance of a proposed automatically managed multilevel memory system requires a model of the patterns by which programs refer to the information stored in the memory. Some recent experimental measurements on the Multics virtual memory suggest that, for rough approximations, a remarkably simple program reference model will suffice. The simple model combines the effect of the information reference pattern with the effect of the automatic management algorithm to produce a single, composite statement: the mean number of memory references between paging exceptions increases linearly with the size of the paging memory. The resulting model is easy to manipulate, and is applicable to such diverse problems as choosing an optimum size for a paging memory, arranging for reproducible memory usage charges, and estimating the amount of core memory sharing.
Research and Advances Mar 1 1974

Dynamic memory repacking

A probabilistic model of a multiprogramming system is exercised in order to determine the conditions under which the dynamic repacking of main memory is beneficial. An expression is derived for the maximum interference that a repacking process may introduce before the original performance of the system is degraded. Alternative approaches to repacking are discussed, and the operating conditions that lead to improved system throughput through repacking are delineated.
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Research and Advances Mar 1 1974

Emotional content considered dangerous

I had hoped that Moorer's rebuttal to my short communication in the November 1972 Communications would close the debate on a topic which, like the computer itself, has provoked an inordinately large quantity of unqualified argument. Unfortunately, the short communications by McMorrow and Wexelblat in the May 1973 Communications lead me to believe that my position is still grossly misunderstood. Therefore, allow me to clarify these matters.
Research and Advances Mar 1 1974

Scan conversion algorithms for a cell organized raster display

Raster scan computer graphics with “real time” character generators have previously been limited to alphanumeric characters. A display has been described which extends the capabilities of this organization to include general graphics. Two fundamentally different scan conversion algorithms which have been developed to support this display are presented. One is most suitable to noninteractive applications and the other to interactive applications. The algorithms were implemented in Fortran on the CDC6400 computer. Results obtained from the implementations show that the noninteractive algorithms can significantly reduce display file storage requirements at little cost in execution time over that of a conventional raster display. The interactive algorithm can improve response time and reduce storage requirements.
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Research and Advances Mar 1 1974

Optimal space allocation on disk storage devices

When the amount of space required for file storage exceeds the amount which can be kept online, decisions must be made as to which files are to be permanently resident and which mountable. These decisions will affect the number of mount requests issued to the operators. This is often a bottleneck in a computing facility, and reducing the number of mounts thus decreases turnaround time. An optimization model for the assignment of files to disk packs, and packs to either resident or nonresident status is presented. Heuristics are suggested for those cases in which it is Inefficient to compute the actual optimum.
Research and Advances Mar 1 1974

On the construction of a representative synthetic workload

A general method of constructing a drive workload representative of a real workload is described. The real workload is characterized by its demands on the various system resources. These characteristics of the real workload are obtained from the system accounting data. The characteristics of the drive workload are determined by matching the joint probability density of the real workload with that of the drive workload. The drive workload is realized by using a synthetic program in which the characteristics can be varied by varying the appropriate parameters. Calibration experiments are conducted to determine expressions relating the synthetic program parameters with the workload characteristics. The general method is applied to the case of two variables, cpu seconds and number of I/O activities; and a synthetic workload with 88 jobs is constructed to represent a month's workload consisting of about 6000 jobs.
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Research and Advances Feb 1 1974

Attribute based file organization in a paged memory environment

The high cost of page accessing implies a need for for more careful data organization in a paged memory than is typical of most inverted file and similar approaches to multi-key retrieval. This article analyses that cost and proposes a method called multiple key hashing which attempts to minimize it. Since this approach is not always preferable to inversion, a combined method is described. The exact specifications of this combination for a file with given data and traffic characteristics is formulated as a mathematical program. The proposed heuristic solution to this program can often improve on a simple inversion technique by a factor of 2 or 3.
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Research and Advances Feb 1 1974

A cell organized raster display for line drawings

Raster scan computer graphics displays with “real time” character generators have previously been limited to alphanumeric characters. A display is described which extends the capabilities of this organization to include general graphics. The feasibility of such a display is shown by deriving the minimum number of patterns required in the read only memory of the character generator to synthesize an arbitrary line. The synthesis process does not compromise picture quality, since the resulting dot patterns are identical with those of a conventional raster display. Furthermore, the time constraints of a raster display are shown to be satisfied for a typical design for very complex line drawings.
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Research and Advances Feb 1 1974

The synthesis of loop predicates

Current methods for mechanical program verification require a complete predicate specification on each loop. Because this is tedious and error prone, producing a program with complete, correct predicates is reasonably difficult and would be facilitated by machine assistance. This paper discusses techniques for mechanically synthesizing loop predicates. Two classes of techniques are considered: (1) heuristic methods which derive loop predicates from boundary conditions and/or partially specified inductive assertions: (2) extraction methods which use input predicates and appropriate weak interpretations to obtain certain classes of loop predicates by an evaluation on the weak interpretation.
Research and Advances Feb 1 1974

An approximate method for generating asymmetric random variables

Tukey's lambda distribution is generalized to provide an algorithm for generating values of unimodal asymmetric random variables. This algorithm has the same advantages as the symmetric random variable generator previously given by the authors, except that the addition of another parameter complicates the problem of finding the parameter values to fit a distribution.
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Research and Advances Jan 1 1974

Reentrant polygon clipping

A new family of clipping algorithms is described. These algorithms are able to clip polygons against irregular convex plane-faced volumes in three dimensions, removing the parts of the polygon which lie outside the volume. In two dimensions the algorithms permit clipping against irregular convex windows. Polygons to be clipped are represented as an ordered sequence of vertices without repetition of first and last, in marked contrast to representation as a collection of edges as was heretofore the common procedure. Output polygons have an identical format, with new vertices introduced in sequence to describe any newly-cut edge or edges. The algorithms easily handle the particularly difficult problem of detecting that a new vertex may be required at a corner of the clipping window. The algorithms described achieve considerable simplicity by clipping separately against each clipping plane or window boundary. Code capable of clipping the polygon against a single boundary is reentered to clip against subsequent boundaries. Each such reentrant stage of clipping need store only two vertex values and may begin its processing as soon as the first output vertex from the preceeding stage is ready. Because the same code is reentered for clipping against subsequent boundaries, clipping against very complex window shapes is practical. For perspective applications in three dimensions, a six-plane truncated pyramid is chosen as the clipping volume. The two additional planes parallel to the projection screen serve to limit the range of depth preserved through the projection. A perspective projection method which provides for arbitrary view angles and depth of field in spite of simple fixed clipping planes is described. This method is ideal for subsequent hidden-surface computations.
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Research and Advances Jan 1 1974

A fast method for solving a class of tridiagonal linear systems

The solution of linear systems having real, symmetric, diagonally dominant, tridiagonal coefficient matrices with constant diagonals is considered. It is proved that the diagonals of the LU decomposition of the coefficient matrix rapidly converge to full floating-point precision. It is also proved that the computed LU decomposition converges when floating-point arithmetic is used and that the limits of the LU diagonals using floating point are roughly within machine precision of the limits using real arithmetic. This fact is exploited to reduce the number of floating-point operations required to solve a linear system from 8n - 7 to 5n + 2k - 3, where k is much less than n, the order of the matrix. If the elements of the subdiagnals and superdiagonals are 1, then only 4n + 2k - 3 operations are needed. The entire LU decomposition takes k words of storage, and considerable savings in array subscripting are achieved. Upper and lower bounds on k are obtained in terms of the ratio of the coefficient matrix diagonal constants and parameters of the floating-point number system. Various generalizations of these results are discussed.
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Research and Advances Jan 1 1974

Syntax-directed least-errors analysis for context-free languages: a practical approach

A least-errors recognizer is developed informally using the well-known recognizer of Earley, along with elements of Bellman's dynamic programming. The analyzer takes a general class of context-free grammars as drivers, and any finite string as input. Recognition consists of a least-errors count for a corrected version of the input relative to the driver grammar. The algorithm design emphasizes practical aspects which help in programming it.
Research and Advances Jan 1 1974

Comments on the algorithms of Verhelst for the conversion of limited-entry decision tables to flowcharts

In his interesting contribution to the study of the conversion of limited-entry decision tables to flowcharts or sequential testing procedures, Verhelst [1] presents two algorithms, one of which is claimed to produce the optimal flowchart with respect to run-time. Unfortunately this minimum run-time algorithm does not always produce the result claimed, as we illustrate by example below.
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Research and Advances Dec 1 1969

Advanced cryptographic techniques for computer

Cryptographic techniques which can be used to maintain the confidentiality of information processed by computers are dealt with. Special emphasis is paid to the unique characteristics of computer files that make many cryptographic methods of little use. Relative security, costs, and preferred methods are included in this paper.
Research and Advances Dec 1 1969

A case study in programming for parallel-processors

An affirmative partial answer is provided to the question of whether it is possible to program parallel-processor computing systems to efficiently decrease execution time for useful problems. Parallel-processor systems are multiprocessor systems in which several of the processors can simultaneously execute separate tasks of a single job, thus cooperating to decrease the solution time of a computational problem. The processors have independent instruction counters, meaning that each processor executes its own task program relatively independently of the other processors. Communication between cooperating processors is by means of data in storage shared by all processors. A program for the determination of the distribution of current in an electrical network was written for a parallel-processor computing system, and execution of this program was simulated. The data gathered from simulation runs demonstrate the efficient solution of this problem, typical of a large class of important problems. It is shown that, with proper programming, solution time when NP processors are applied approaches 1/NP times the solution time for a single processor, while improper programming can actually lead to an increase of solution time with the number of processors. Storage interference and other measures of performance are discussed. Stability of the method of solution was also investigated.
Research and Advances Nov 1 1969

APAREL—A parse-request language

APAREL is described: this language is an extension to an algorithmic language (PL/I) that provides the pattern-matching capabilities normally found only in special purpose languages such as SNOBOL4 and TMG. This capability is provided through parse-requests stated in a BNF-like format. These parse-requests form their own programming language with special sequencing rules. Upon successfully completing a parse-request, an associated piece of PL/I code is executed. This code has available for use, as normal PL/I strings, the various pieces (at all levels) of the parse. It also has available, as normal PL/I variables, the information concerning which of the various alternatives were successful. Convenient facilities for multiple input-output streams, the initiation of sequences of parse-requests as a subroutine, and parse-time semantic checks are also included. APAREL has proven convenient in building a powerful SYNTAX and FUNCTION macro system, an algebraic language preprocessor debugging system, an on-line command parser, a translator for Dataless Programming, and as a general string manipulator.
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Research and Advances Nov 1 1969

An interactive graphical display monitor in a batch-processing environment with remote entry

A graphic monitor program is described. It was developed at Carnegie-Mellon University for the CDC G21 computer, which is a general purpose, batch-processing system with remote entry. The existing G21 system and the graphics hardware are described. The graphic monitor is a resident auxiliary monitor which provides comprehensive managerial capability over the graphical system in response to commands from the human user. It also will respond to commands from a user program through a similar interface, where routine calls take the place of manual actions. Thus the human and program can interact on a symmetrical and equal basis through the medium of the graphic monitor. The choices made in designing the graphic monitor, given the constraints of the existing hardware and computer system, are discussed. The structure of the monitor program and the human and program interfaces are described. There is also a transient swapping version with a small resident part, and provision for swapped used submonitors.
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