john dlugosz dhcgnd702sneakemailcom tsa thomassandlassatbarcocom perl 6 wrote firstly shouldnt also infinite strings eg ab x inf regularly infinite string pi well classes might elaborate notions infinity string whose length inf equal inf schars b would true normal values num b complex eg might angle associated inf think many different ways make built normal complex numbers ordered described complex number inf still greater normal complex number real numbers pretty basic add inf domain form affinely extended real number system think ieee floats model finite precision subset many ways extend basic someone using system would need use module define get exact behavior wanted secondly single inf constant negation multitude infinities eg code fragment int random01 05 3 inf int b 1 say yes b always print yes continue counting inf transfinite ordinals 0 1 2 inf inf1 inf2 inf2 inf21 inf n inf real numbers n dont get different infinities way likewise multiplication 2inf even inf2 still _same_ value inf proposed infinite class see thread started 4252008 handle transfinite cardinals nothing p6 standard library cares whether mean number integers number real numbers etc except comparing infinite values directly basic support available class specialized applications write functions use values extend class desired domain implementation strait forward array coefficients inf powers inf0 1 finite ints sign bit goes separate magnitude usual int arithmetic ranges infinf2 inf2inf except inf predecessor inf successor well lose commutativity ie 1 1 transfinite power series inf inf trying remember something concerning power _set_ im sure concept interesting values infinity overly useful though tex eg infinitely stretchable spacings different infinitudes overwrite kind lightduty use mathematically rigorous easy represent texs two springs included transfinite ordinals class also think finite conceptual infinities types like int32 num64 latter case also infinitely small values infinities like sqrt2 short everything falls finite range types captured int num domain int32 finite subset mathbbz want reserve bit representations mean things define another type point lowercase types native cpu stuff num64 assuming ieee semantics include special values inf underflows like indicate suppose implementation num use underlying bit representations convert inf num int type also defined able represent inf implementation need flag somehow btw infinite precision num see need rat type num type infinite precision highestprecision native type operates full speed since high arbitrary precision float libraries available im sure cpan6 include john wed 06 aug 2008 223320 0500 new article romp infinity