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📄 tanconstintervaltnum.html

📁 Matrix_Template_Library.rar c++矩阵模块库函数
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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>Description of tan</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 width=440 rowspan=2><FONT FACE=verdana,arial,helvetica SIZE=+3 COLOR=#110088><B>tan</B></FONT></TD><TD valign=middle Align=right width=128 rowspan=2><A HREF="http://lsc.nd.edu/research/mtl"><IMG BORDER=0 SRC="./glossy-mtl-logo.jpg" height=48 ALT="[MTL Home]"></A></TD><TD Align=center width=280 nowrap><Font face=verdana,arial,helvetica size=+3><b>Programmers Guide</b></font></TD></TR><TR BGCOLOR='#2020b0'><TD HEIGHT=20 VALIGN='MIDDLE' NOWRAP align=center STYLE="font-family:verdana,arial,helvetica;font-weight:bold;">&nbsp;&nbsp;<A STYLE="text-decoration:none;color:white;font-family:verdana,arial,helvetica;font-weight:bold;" HREF="./table_of_contents.html">Contents</A>&nbsp;|&nbsp;<A STYLE="text-decoration:none;color:white;font-family:verdana,arial,helvetica;font-weight:bold;" HREF="./mtl_index.html">Index</A>&nbsp;|&nbsp;&nbsp;<A STYLE="text-decoration:none;color:white;font-family:verdana,arial,helvetica;font-weight:bold;" HREF="http://lsc.nd.edu/research/mtl/search.html">Search</A>&nbsp;</TD></TR></TABLE></TD></TR><TR><TD><Table CellPadding=0 CellSpacing=0 width=100% cols=2><TR><TD Align=left><BR><TABLE BORDER=0 CellSpacing=0 CellPadding=0><TR><TD><Img src = "intervals.gif" Alt="" WIDTH = "194"  HEIGHT = "38" ></TD></TR><TR><TD><Img src = "math.gif" Alt="" WIDTH = "194"  HEIGHT = "38" ></TD></TR></TABLE></TD><TD Align=right><BR><TABLE BORDER=0 CellSpacing=0 CellPadding=0><TR><TD><Img src = "function.gif" Alt="" WIDTH = "194"  HEIGHT = "38" ></TD></TR></TABLE></TD></TR><TR><TD Align=left VAlign=top><b>Category</b>:intervals,math</TD><TD Align=right VAlign=top><b>Component type</b>:function</TD></TR></Table></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>Prototype</B></FONT></TD></TR><TR><TD><TT>template &#60;class Tnum&#62;<br>  <A HREF="interval.html" >interval</A>&#60;Tnum&#62; <B>tan</B>(const <A HREF="interval.html" >interval</A>&#60;Tnum&#62;&#38; x) ;</TT></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>Description</B></FONT></TD></TR><TR><TD>Computes the tangent of an <A HREF="interval.html" >interval</A>. If the diameter of the <A HREF="interval.html" >interval</A>is greater than 2*pi, it returns an <A HREF="interval.html" >interval</A> of positive and negativeinfinity. If the left bound of the <A HREF="interval.html" >interval</A> is greater than 1/2*pi andthe right bound is less than 1/2*pi then it returns a quiet NaN.<br><pre> Quadrants: 1st  [0,Pi/2] 2nd  [Pi/2,Pi] 3rd  [Pi,3Pi/2] 4th  [3Pi/2,2Pi]<br> tan(x) =  [-Inf,Inf]                   if x.inf() is the same quadrant as x.sup() and                              x.sup() > (x.inf() + pi) [tan(x.inf()),tan(x.sup())]  if x.inf() is in the 1st quadrant and x.sup() is in the 4th.                              if x.inf() is in the 2nd quadrant and x.sup() is in the 2nd.                              if x.inf() is in the 3rd quadrant and x.sup() is in the 2nd or 3rd.                              if x.inf() is in the 4th quadrand and x.sup() is in the 4th.</pre></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>Definition</B></FONT></TD></TR><TR><TD><A HREF="../../../contrib/interval/interval.cct">interval.cct</A></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>Preconditions</B></FONT></TD></TR><TR><TD><UL></UL></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>Complexity</B></FONT></TD></TR><TR><TD></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>Example</B></FONT></TD></TR><TR><TD>In <A HREF=file:/afs/nd.edu/user1/lsc/Students/arodrig6/MTL-learn/mtl2/mtl/contrib/interval/doc/expamples/mathfunc.cc>mathfunc.cc</A>:<PRE>  cout &lt;&lt; "A:" &lt;&lt; A &lt;&lt; endl &lt;&lt; endl;  cout &lt;&lt; "Square     :" &lt;&lt; sqr(A) &lt;&lt; endl;  cout &lt;&lt; "Square Root:" &lt;&lt; sqrt(A) &lt;&lt; endl;  cout &lt;&lt; "Tangent    :" &lt;&lt; tan(A) &lt;&lt; endl;  cout &lt;&lt; "ArcTangent :" &lt;&lt; atan(A) &lt;&lt; endl;  cout &lt;&lt; "Sine       :" &lt;&lt; sin(A) &lt;&lt; endl;  cout &lt;&lt; "Cosine     :" &lt;&lt; cos(A) &lt;&lt; endl;  cout &lt;&lt; "Arcsine    :" &lt;&lt; asin(A) &lt;&lt; endl;  cout &lt;&lt; "Arcosine   :" &lt;&lt; acos(A) &lt;&lt; endl;  cout &lt;&lt; "Log        :" &lt;&lt; log(A) &lt;&lt; endl;  cout &lt;&lt; "Ln         :" &lt;&lt; ln(A) &lt;&lt; endl;  cout &lt;&lt; "Power (A^A):" &lt;&lt; pow(A,A) &lt;&lt; endl;  cout &lt;&lt; "Exponent   :" &lt;&lt; exp(A) &lt;&lt; endl;</PRE></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>Notes</B></FONT></TD></TR><TR><TD></TD></TR><TR><TD><IMG SRC="whitespace.gif" Alt="" WIDTH="32" HEIGHT="15" ALIGN="TOP"></TD></TR><TR BGCOLOR=#e0e0e0><TD VALIGN=BOTTOM><FONT FACE=arial,helvetica SIZE=+1><B>See also</B></FONT></TD></TR><TR><TD></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 &copy;1998,1999 University of Notre Dame.  All Rights Reserved.</FONT></FONT></BODY></HTML> 

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