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{SECT 0 {SECT 0 {PARA 0 "" 0 "" {TEXT 26 8 "Bug fix:" }{TEXT -1 19 "  \+
Contourplot bugs\n" }}{PARA 0 "" 0 "" {TEXT -1 33 "There are several b
ugs affecting " }{MPLTEXT 0 21 11 "contourplot" }{TEXT -1 8 " in the \+
" }{MPLTEXT 0 21 5 "plots" }{TEXT -1 73 " package.  The following two \+
bugs can be remedied by using the procedure " }{MPLTEXT 0 21 16 "patch
contourplot" }{TEXT -1 52 " from the Maple Advisor Database to install
 a patch." }}{PARA 15 "" 0 "" {MPLTEXT 0 21 11 "contourplot" }{TEXT 
-1 34 " does not work with an expression " }{MPLTEXT 0 21 1 "f" }
{TEXT -1 68 " involving a fraction with non-constant denominator (i.e.
 such that " }{MPLTEXT 0 21 8 "denom(f)" }{TEXT -1 73 " returns a non-
constant value): it just plots contours for the numerator " }{MPLTEXT 
0 21 8 "numer(f)" }{TEXT -1 1 "." }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 
1 0 24 "with(plots,contourplot):" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 31 "contourplot(x/y,x=1..2,y=1..2);" }{TEXT -1 0 "" }}}
{PARA 15 "" 0 "" {MPLTEXT 0 21 11 "contourplot" }{TEXT -1 38 " doesn't
 work when the bounds for the " }{XPPEDIT 18 0 "y" "6#%\"yG" }{TEXT 
-1 24 " variable depend on the " }{XPPEDIT 18 0 "x" "6#%\"xG" }{TEXT 
-1 10 " variable." }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 51 "contour
plot(x+y,x=0..1,y=0..x,coloring=[red,blue]);" }}}{PARA 15 "" 0 "" 
{TEXT -1 23 "For copyright reasons, " }{MPLTEXT 0 21 16 "patchcontourp
lot" }{TEXT -1 84 " is a procedure that produces a new version of the \+
original Maple library procedure " }{MPLTEXT 0 21 16 "`plots/contplot`
" }{TEXT -1 27 " and a modified version of " }{MPLTEXT 0 21 14 "`plot/
iplot2d`" }{TEXT -1 16 " under the name " }{MPLTEXT 0 21 20 "`plot/ipl
ot2d/patch`" }{TEXT -1 82 ", rather than being a new version of the Ma
ple library procedure itself.  Running " }{MPLTEXT 0 21 18 "patchconto
urplot()" }{TEXT -1 227 " once will save the new procedures into a lib
rary (which could be the Maple Advisor Database library - saving it in
to Maple's own \"lib\" library is not recommended).  Then (as long as \+
this library's directory is present in your " }{MPLTEXT 0 21 7 "libnam
e" }{TEXT -1 126 " before Maple's \"lib\" directory), the patched proc
edures will be used.  The directory to be used is the value of the var
iable " }{MPLTEXT 0 21 11 "savelibname" }{TEXT -1 65 ", if that has be
en assigned a value,  otherwise the first one in " }{MPLTEXT 0 21 7 "l
ibname" }{TEXT -1 112 ".  I recommend that your \"advisor\" directory \+
containing the Maple Advisor Database files be the first member of " }
{MPLTEXT 0 21 7 "libname" }{TEXT -1 95 ", so in most cases the correct
ed procedure will go there.  If necessary, assign a new value to " }
{MPLTEXT 0 21 11 "savelibname" }{TEXT -1 16 " before running " }
{MPLTEXT 0 21 16 "patchcontourplot" }{TEXT -1 2 ". " }}{EXCHG {PARA 0 
"> " 0 "" {MPLTEXT 1 0 27 "savelibname:= \"c:/advisor\";" }}{PARA 11 "
" 1 "" {XPPMATH 20 "6#>%,savelibnameGQ+c:/advisor6\"" }}}{PARA 0 "" 0 
"" {TEXT -1 8 "Now run " }{MPLTEXT 0 21 18 "patchcontourplot()" }
{TEXT -1 303 ".  A warning will result if you attempt to install the p
atch in a directory whose name does not include the word \"advisor\", \+
and you will be asked to confirm that this directory is the proper tar
get.  This is intended to prevent you from accidentally writing to Map
le's own \"lib\" or \"update\" libraries.  " }}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 19 "patchcontourplot();" }}{PARA 11 "" 1 "" {XPPMATH 
20 "6#Q4Installed~the~patch6\"" }}}{PARA 0 "" 0 "" {TEXT -1 35 "Now th
e examples above should work:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 31 "contourplot(x/y,x=1..2,y=1..2);" }{TEXT -1 0 "" }}}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 51 "contourplot(x+y,x=0..1,y=0..x,coloring=[r
ed,blue]);" }{TEXT -1 0 "" }}}{PARA 15 "" 0 "" {TEXT -1 49 "The follow
ing bugs are not fixed by this patch.  " }}{PARA 15 "" 0 "" {MPLTEXT 
0 21 11 "contourplot" }{TEXT -1 54 " doesn't work with two-dimensional
 coordinate systems." }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 58 "cont
ourplot(r*cos(theta),r=0..3,theta=0..Pi,coords=polar);" }}{PARA 8 "" 
1 "" {TEXT -1 73 "Error, (in plot/iplot2d/patch) cannot convert to coo
rdinate system polar\n" }}}{PARA 0 "" 0 "" {TEXT -1 82 "Three-dimensio
nal coordinate systems do work, but not in the way you might expect." 
}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 84 "contourplot(r*cos(theta),r
=0..3,theta=0..Pi,coords=cylindrical,scaling=constrained);" }{TEXT -1 
0 "" }}}{PARA 0 "" 0 "" {TEXT -1 14 "It seems that " }{MPLTEXT 0 21 
55 "contourplot(f(u,v), u=a..b, v=c..d, coords=cylindrical)" }{TEXT 
-1 78 " actually plots the projection in the xy plane of the contours \+
of the surface " }{XPPEDIT 18 0 "r =  f(theta,z)" "6#/%\"rG-%\"fG6$%&t
hetaG%\"zG" }{TEXT -1 18 ", i.e. the curves " }{XPPEDIT 18 0 "r = f(th
eta, c)" "6#/%\"rG-%\"fG6$%&thetaG%\"cG" }{TEXT -1 38 " for different \+
values of the constant " }{XPPEDIT 18 0 "c" "6#%\"cG" }{TEXT -1 1 "." 
}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 106 "To pro
duce a contour plot in a two-dimensional coordinate system, use the Ma
ple Advisor Database function " }{MPLTEXT 0 21 14 "changecoords2d" }
{TEXT -1 1 "." }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 91 "changecoord
s2d(contourplot(r*cos(theta),r=0..3, theta=0..2*Pi,scaling=constrained
), polar);" }}}{PARA 0 "" 0 "" {TEXT -1 129 "To make a contour plot us
ing a three-dimensional coordinate system such as cylindrical coordina
tes (plotting the level curves of " }{XPPEDIT 18 0 "z = f(r,theta)" "6
#/%\"zG-%\"fG6$%\"rG%&thetaG" }{TEXT -1 41 "), you can use the paramet
ric version of " }{MPLTEXT 0 21 11 "contourplot" }{TEXT -1 1 "." }}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 100 "contourplot([r,theta,r*cos(
theta)], r=0..3, theta=0..2*Pi, coords=cylindrical, scaling=constraine
d);" }{TEXT -1 0 "" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{SECT 0 {PARA 
0 "" 0 "" {TEXT 26 9 "See also:" }{TEXT -1 1 " " }{HYPERLNK 17 "change
coords2d" 2 "changecoords2d" "" }{TEXT -1 2 ", " }{HYPERLNK 17 "contou
rplot" 2 "contourplot" "" }{TEXT -1 2 ", " }{HYPERLNK 17 "coords" 2 "c
oords" "" }{TEXT -1 2 ", " }{HYPERLNK 17 "labelledcontourplot" 2 "labe
lledcontourplot" "" }{TEXT -1 2 ", " }{HYPERLNK 17 "plot[options]" 2 "
plot,options" "" }{TEXT -1 2 ", " }{HYPERLNK 17 "plots" 2 "plots" "" }
}}{SECT 0 {PARA 0 "" 0 "" {TEXT 26 22 "Maple Advisor Database" }{TEXT 
-1 18 "   R. Israel, 2000" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{MARK "
0 23 4" 1 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 
1 }