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<HTML><!-- -- Copyright (c) 1998 -- University of Notre Dame -- -- Permission to use, copy, modify, distribute and sell this software -- and its documentation for any purpose is hereby granted without fee, -- provided that the above copyright notice appears in all copies and -- that both that copyright notice and this permission notice appear -- in supporting documentation. The University of Notre Dame makes no -- representations about the suitability of this software for any -- purpose. It is provided "as is" without express or implied warranty. -- --><HEAD><TITLE>Interval Index</TITLE></HEAD><BODY BGCOLOR="#ffffff" LINK="#0000ee" TEXT="#000000" VLINK="#551a8b" ALINK="#ff0000"> <FONT FACE=Helvetica><!--end header--><TABLE BORDER=0 CELLSPACING=0 CELLPADDING=2 WIDTH=100%><TR><TD><TABLE BORDER=0 CELLSPACING=0 CELLPADDING=0 WIDTH=100%><TR><TD Align=left valign=middle><FONT FACE=arial,helvetica SIZE=+2 COLOR=#110088><B>Interval Index</B></FONT></TD><TD Align=right><A HREF="./index.html"><IMG BORDER=0 SRC="./glossy-mtl-logo.jpg" height=48 ALT="[MTL Home]"></A></TD></TR></TABLE></TD></TR><TR><TD><IMG SRC="whitespace.gif" Alt="" WIDTH="32" HEIGHT="10" ALIGN="TOP"></TD></TR><TR><TD><IMG SRC="whitespace.gif" Alt="" WIDTH="32" HEIGHT="10" ALIGN="TOP"></TD></TR><TR BGCOLOR=#e0e0e0><TD VALIGN=BOTTOM><FONT FACE=arial,helvetica SIZE=+1><B>Interval Class</B></FONT></TD></TR><TR><TD>A useful, standard, generic, and optimized Interval Object which can be used to perform interval mathematics. <BR>Interval Mathematics allows practical calculations to be completed in a manner which accounts for inaccuracy in rounding and measurement. <BR>Capable of utilizing intervals of intervals.<P>Presently tested with the KCC and egcs C++ compilers.</TD></TR><TR BGCOLOR=#e0e0e0><TD VALIGN=BOTTOM><FONT FACE=arial,helvetica SIZE=+1><B>Class index</B></FONT></TD></TR><TR><TD><OL> <LI><A href="interval.html">interval</A>Interval Class <LI><A href="numeric_limits.html">numeric_limits</A>Interval Numeric Limits </OL></TD></TR><TR><TD><IMG SRC="whitespace.gif" Alt="" WIDTH="32" HEIGHT="10" ALIGN="TOP"></TD></TR><TR BGCOLOR=#e0e0e0><TD VALIGN=BOTTOM><FONT FACE=arial,helvetica SIZE=+1><B>Utility Function index</B></FONT></TD></TR><TR><TD><DL> <OL> <LI><A href="isnanintervalTnum.html">isnan</A> Is not a number <LI><A href="emptyconstintervalTnum.html">empty</A> Empty <LI><A href="signconstTnum.html">sign</A> Sign <LI><A href="leftconstintervalTnum.html">left</A> Left Constant Non-member Acessor <LI><A href="rightconstintervalTnum.html">right</A> Right Constant Non-member Acessor <LI><A href="infconstintervalTnum.html">inf</A> Infinum Constant Non-member Acessor <LI><A href="supconstintervalTnum.html">sup</A> Suprenum Constant Non-member Acessor <LI><A href="pos_halfconstintervalTnum.html">pos_half</A> Positive Half <LI><A href="neg_halfconstintervalTnum.html">neg_half</A> Negative Half <LI><A href="predconstintervalTnum.html">pred</A> Pred (Interval) <LI><A href="predconstTnum.html">pred</A> Pred (Tnum) <LI><A href="succconstintervalTnum.html">succ</A> Succ (Interval) <LI><A href="succconstTnum.html">succ</A> Succ (Tnum) <LI><A href="hullconstintervalTnumconstintervalTnum.html">hull</A> Hull of 2 Intervals <LI><A href="hullconstintervalTnumconstTnum.html">hull</A> Hull of an Interval and a Tnum <LI><A href="hullconstTnumconstintervalTnum.html">hull</A> Hull of a Tnum and an Interval <LI><A href="hullconstTnumconstTnum.html">hull</A> Hull of 2 Tnums <LI><A href="hullconstTnum.html">hull</A> Hull of a Tnum <LI><A href="sym_hullconstTnum.html">sym_hull</A> Symmetric Hull <LI><A href="intersectionconstintervalTnumconstintervalTnumbool.html">intersection</A> Intersection of 2 Intervals </OL></DL></TD></TR><TR><TD><IMG SRC="whitespace.gif" Alt="" WIDTH="32" HEIGHT="10" ALIGN="TOP"></TD></TR><TR BGCOLOR=#e0e0e0><TD VALIGN=BOTTOM><FONT FACE=arial,helvetica SIZE=+1><B>Operator Function index</B></FONT></TD></TR><TR><TD> <OL> <LI><A href="operator==constintervalTnumconstintervalTnum.html">operator ==</A> Operator == <LI><A href="operator==constintervalTnumconstTnum.html">operator ==</A> Operator == <LI><A href="operator==constTnumconstintervalTnum.html">operator ==</A> Operator == <LI><A href="operator!=constintervalTnumconstintervalTnum.html">operator !=</A> Operator != <LI><A href="operator!=constintervalTnumconstTnum.html">operator !=</A> Operator != <LI><A href="operator!=TnumconstintervalTnum.html">operator !=</A> Operator != <LI><A href="operator=constintervalTnumconstintervalTnum.html">operator <=</A> Operator <= <LI><A href="operator=constTnumconstintervalTnum.html">operator <=</A> Operator <= <LI><A href="operatorconstintervalTnumconstintervalTnum.html">operator < </A> Operator < <LI><A href="operatorconstTnumconstintervalTnum.html">operator < </A> Operator < <LI><A href="operator=constintervalTnumconstintervalTnum.html">operator >=</A> Operator >= <LI><A href="operator=TnumconstintervalTnum.html">operator >=</A> Operator >= <LI><A href="operatorconstintervalTnumconstintervalTnum.html">operator > </A> Operator > <LI><A href="operatorTnumconstintervalTnum.html">operator > </A> Operator > <LI><A href="operator+constintervalTnumconstintervalTnum.html">operator + </A> Operator x+y ( x+y = [inf(x)+inf(y),sup(x)+sup(y)] ) <LI><A href="operator+constintervalTnumconstTnum.html">operator + </A> Operator x+<i>b</i> ( x+<i>b</i> = [inf(x)+<i>b</i>,sup(x)+<i>b</i>] ) <LI><A href="operator+constTnumconstintervalTnum.html">operator + </A> Operator <i>a</i>+x ( x = [inf(x)+<i>a</i>,sup(x)+<i>a</i>] ) <LI><A href="operatorminusconstintervalTnumconstintervalTnum.html">operator - </A> Operator x-y ( x-y = [inf(x)-inf(y),sup(x)-sup(y)] ) <LI><A href="operatorminusconstintervalTnumconstTnum.html">operator - </A> Operator x-<i>b</i> ( x-<i>b</i> = [inf(x)-<i>b</i>,sup(x)-<i>b</i>] ) <LI><A href="operatorminusconstTnumconstintervalTnum.html">operator - </A> Operator <i>a</i>-y ( <i>a</i>-y = [<i>a</i>-inf(y),<i>a</i>-sup(y)] ) <LI><A href="operatorampconstintervalTnumconstintervalTnum.html">operator & </A> Operator & <LI><A href="operatorconstintervalTnumconstintervalTnum.html">operator * </A> Operator * <LI><A href="operatorconstintervalTnumconstTnum.html">operator * </A> Operator x*y ( x*y = [inf(x)*y,sup(x)*y] ) <LI><A href="operatorconstTnumconstintervalTnum.html">operator * </A> Operator x*y ( x*y = [x*inf(y),y*sup(y)] ) <LI><A href="operatordivconstintervalTnumconstintervalTnum.html">operator / </A> Operator x/y <LI><A href="operatordivconstintervalTnumconstTnum.html">operator / </A> Operator x/<i>b</i> ( x/<i>b</i> = [inf(x)/<i>b</i>,sup(x)/<i>b</i>] ) <LI><A href="operatordivconstTnumconstintervalTnum.html">operator / </A> Operator <i>a</i>/y </OL></TD></TR><TR><TD><IMG SRC="whitespace.gif" Alt="" WIDTH="32" HEIGHT="10" ALIGN="TOP"></TD></TR><TR BGCOLOR=#e0e0e0><TD VALIGN=BOTTOM><FONT FACE=arial,helvetica SIZE=+1><B>Math Function index</B></FONT></TD></TR><TR><TD> <LI><A href="subsetconstintervalintervalTnumconstintervalintervalTnum.html">subset</A> <A HREF="interval.html" >interval</A>-<A HREF="interval.html" >interval</A> Subset Specialization <LI><A href="subsetconstintervalTnumconstintervalTnum.html">subset</A> Subset (Interval in Interval) <LI><A href="subsetconstTnumconstintervalTnum.html">subset</A> Subset (Tnum in Interval) <LI><A href="proper_subsetconstintervalTnumconstintervalTnum.html">proper_subset</A> Proper Subset (Interval in Interval) <LI><A href="proper_subsetTnumconstintervalTnum.html">proper_subset</A> Proper Subset (Tnum in Interval) <LI><A href="poslteconstintervalTnumconstintervalTnum.html">poslte</A> Possibly Less Than Or Equal To <LI><A href="poslteconstTnumconstintervalTnum.html">poslte</A> Possibly Less Than Or Equal To <LI><A href="posltconstintervalTnumconstintervalTnum.html">poslt</A> Possibly Less Than <LI><A href="posltTnumconstintervalTnum.html">poslt</A> Possibly Less Than <LI><A href="posgteconstintervalTnumconstintervalTnum.html">posgte</A> Possibly Greater Than Or Equal To <LI><A href="posgteTnumconstintervalTnum.html">posgte</A> Possibly Greater Than Or Equal To <LI><A href="posgtconstintervalTnumconstintervalTnum.html">posgt</A> Possibly Greater Than <LI><A href="posgtTnumconstintervalTnum.html">posgt</A> Possibly Greater Than <LI><A href="midpointconstintervalTnum.html">midpoint</A> Midpoint <LI><A href="bisectconstintervalTnum.html">bisect</A> Bisect an Interval <LI><A href="diameterconstintervalTnum.html">diameter</A> Diameter <LI><A href="absconstintervalTnum.html">abs</A> Absolute Value <LI><A href="distconstintervalTnumconstintervalTnum.html">dist</A> Distance between 2 Intervals <LI><A href="distconstintervalTnumconstTnum.html">dist</A> Distance between a number and an Interval <LI><A href="distconstTnumconstintervalTnum.html">dist</A> Distance between a number and an Interval <LI><A href="sqrtconstintervalTnum.html">sqrt</A> Square Root ( sqrt(x) = [sqrt(inf(x)),sqrt(sup(x))] ) <LI><A href="expconstintervalTnum.html">exp</A> Exponent ( exp(x) = [exp(inf(x),exp(sup(x))] ) <LI><A href="logconstintervalTnum.html">log</A> Log ( log(x) = [log(inf(x)),log(sup(c))] ) <LI><A href="lnconstintervalTnum.html">ln</A> ln ( ln(x) = [ln(inf(x)),ln(sup(c))] ) <LI><A href="sqrconstintervalTnum.html">sqr</A> Square <LI><A href="tanconstintervalTnum.html">tan</A> Tangent ( tan(x) = [tan(inf(x)),tan(sup(x))] ) <LI><A href="atanconstintervalTnum.html">atan</A> ArcTan ( arctan(x) = [arctan(inf(x)),arctan(sup(x))] ) <LI><A href="sinconstintervalTnum.html">sin</A> Sine <LI><A href="asinconstintervalTnum.html">asin</A> ArcSin ( asin(x) = [asin(inf(x)),asin(sup(x))] ) <LI><A href="acosconstintervalTnum.html">acos</A> ArcCos ( acos(x) = [acos(inf(x)),acos(sup(x))] ) <LI><A href="cosconstintervalTnum.html">cos</A> Cosine <LI><A href="powconstintervalTnumTnum.html">pow</A> Power (<A HREF="interval.html" >interval</A>^Tnum) <LI><A href="powconstintervalTnum.html">pow</A> Power ( pow(x,p) = [inf(x)^inf(p),sup(x)^sup(p)] )</TD></TR></TABLE><!--start footer--> <P><CENTER><CENTER><IMG SRC="./blue-bar.jpg" width=640></CENTER></CENTER><P><A HREF="http://www.nd.edu"><IMG BORDER=0 SRC="./ndtoclogo.gif" ALT="[MTL Home]" ALIGN=absmiddle></A></A><FONT SIZE="-2"><A HREF="../LICENSE.htm">Copyright ©1998,1999 University of Notre 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