Issue No. 08 - August (1984 vol. 33)
Oliver Aberth , Department of Mathematics, Texas A&M University, College Station, TX 77843.
When a high-level programming language is used for scientific computation, usually one must use standard floating point and choose the precision¿single, double, or higher¿before one's program executes. This paper describes a modified Basic that accommodates the advanced computation techniques of dynamic adjustable precision and interval arithmetic. This language¿Precision Basic or Pbasic¿allows a user to routinely obtain his n decimal place answers accurate to the last decimal place. An interpreter for this modified Basic was recently completed that runs on a Z-80 microprocessor. Some features of the interpreter are described.
O. Aberth, "Precise Scientific Computation with a Microprocessor," in IEEE Transactions on Computers, vol. 33, no. , pp. 685-690, 1984.