Scientific Computing with Automatic Result Verification by E. Adams

By E. Adams

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Hammer, M. Neaga, and D. n-I]; v p v v := vector(p); := polynomial(v); := v v; + := vector(p) + v; { but not v := p + v; } Access to the lower and upper index limits is made possible by the new standard functions lbound(. ) and ubound(. ), which are available with an optional argument for the index field of the designated dynamic variable. ubound(a)]; var i : integer; begin for i := lbound(a) to ubound(a) do res[i] := a[;] + b[lbound(b) + i - lbound(a)] end; Introduction of dynamic types requires an extension of the compatibility prerequisites.

1986. [9] Brezinsky, C. and Kulisch, U. (Eds): Computational and Applied Mathematics - Algorithms and Theory. Proceedings of the 13th IMACS World Congress, Dublin, Ireland. Elsevier, Science publishers B. V. To be published in 1992. : The IBM System/370 Vector Architecture. IBM Systems Journal 25/1, 1986. : Runtime System for a PASCAL-XSC Compiler. In: [18],151-160, 1991. [12] DaSler, K. : PASCAL, Einfdbrung in die Sprache. Norm Entwurf DIN 66256,Erlauterungen. Springer, Berlin, 1983. : How Reliable is the Arithmetic of Vector Computers?

In ACRITH-XSC, any external (user-defined) function with one or two arguments can be called via an unary or binary operator, respectively. An operator symbol or name can be associated with such a function in an OPERATOR statement. g. g. IN. ) may be employed, or the user may choose to invent new operator names with up to 31 characters enclosed in periods (e. g. vectornorm. vectornorm. = ABSSUM (REAL(:)) DOT PRECISION . The data type of (the left and) the right operand is indicated in parentheses, the result type is given after these parentheses.

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