Pascal-Sc. A Computer Language for Scientific Computation by Gerd Bohlender, Werner Rheinboldt, Daniel Siewiorek,

By Gerd Bohlender, Werner Rheinboldt, Daniel Siewiorek, Christian Ullrich, Jürgen Wolff von Gudenberg

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Additional possibilities for errors arise, due to confusion or overwriting of auxiliary variables. Finally, storage requirements increase, because the auxiliary variables are assigned statically for the lifetime of a block, even though they are only needed temporarily for the evaluation of an expression. For these reasons, the definition of functions in Pascal-SC has been extended to include structured result types, and operator definitions have been introduced. With these, it is possible to to write expressions for structured types in the same way as one customarily writes real or integer expressions.

D-id-2 This representation is unique if leading zeros are omitted and the digit 6 — 1 occurs only finitely often. 1... * 6 n + 1 = mx * bex where dn <> 0. The fraction mx is called the mantissa of x, and ex the exponent. di *bex. A system R of such floating-point numbers x is thus determined by the base 6, the mantissa length /, and the smallest and largest permissible exponents emm, emax, respectively. We write x G R = (6,/, emin^emax). While all programming languages support the ordinary decimal system with base b = 10, most computers operate internally with the binary (b — 2) or hexadecimal (6 = 16) systems.

1. Structured D a t a Types in Standard Pascal Before we proceed to the generalized function and operator concepts of PascalSC, we will first review the situation in standard Pascal, in order to motivate the necessity for this language extension. In Pascal, structured types can be defined, and variables of these types can be declared. Thus, for example, it is possible to introduce complex numbers in the following way: type complex = record re,im: real end; var a , b , c , d , e : complex; However, structured variables can only be used in two ways in standard Pascal, in assignment statements and as parameters for procedures.

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