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Next: 4.7.4 Derivative-Based Methods Up: 4.7 Other Work Previous: 4.7.2 Line Tracing

4.7.3 Extended Interval Arithmetic

Extended interval arithmetic may be used to render graphs. Extended interval arithmetic is similar to tex2html_wrap_inline38595 , with the restriction that each interval set contain either one or two intervals. If the set contains two intervals, one interval must contain tex2html_wrap_inline32377 ; the other interval must contain tex2html_wrap_inline33793 .

An algorithm employing extended interval arithmetic may readily graph specifications given using +, -, tex2html_wrap_inline32275 , and tex2html_wrap_inline32277 ; the more general interval sets are needed if operations such as tex2html_wrap_inline33831 or tex2html_wrap_inline38611 may occur in a specification.


next up previous notation contents
Next: 4.7.4 Derivative-Based Methods Up: 4.7 Other Work Previous: 4.7.2 Line Tracing
Jeff TupperMarch 1996