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#----------------------------------------------------------------------------
# $Id: x16.tcl,v 1.10 2002/05/12 16:16:45 airwin Exp $
#----------------------------------------------------------------------------
# plshades demo, using color fill.
proc x16 {{w loopback}} {
set ns 20
set nx 35
set ny 46
set pi 3.14159265358979323846
set fill_width 2; set cont_color 0; set cont_width 0
matrix clevel f $ns
matrix shedge f [expr $ns+1]
matrix xg1 f $nx
matrix yg1 f $ny
matrix xg2 f $nx $ny
matrix yg2 f $nx $ny
matrix zz f $nx $ny
matrix ww f $nx $ny
# Set up data array
for {set i 0} {$i < $nx} {incr i} {
set x [expr double($i - ($nx/2)) / double($nx/2)]
for {set j 0} {$j < $ny} {incr j} {
set y [expr double($j - $ny/2) / double($ny/2) - 1.]
zz $i $j = [expr -sin(7.*$x) * cos(7.*$y) + $x*$x - $y*$y ]
ww $i $j = [expr -cos(7.*$x) * sin(7.*$y) + 2 * $x * $y ]
}
}
set zmin [zz 0 0]
set zmax $zmin
for {set i 0} {$i < $nx} {incr i} {
for {set j 0} {$j < $ny} {incr j} {
if {[zz $i $j] < $zmin} { set zmin [zz $i $j] }
if {[zz $i $j] > $zmax} { set zmax [zz $i $j] }
}
}
for {set i 0} {$i < $ns} {incr i} {
clevel $i = [expr $zmin + ($zmax - $zmin) * ($i + .5) / $ns.]
}
for {set i 0} {$i < [expr $ns+1]} {incr i} {
shedge $i = [expr $zmin + ($zmax - $zmin) * double($i) / double($ns)]
}
# Build the 1-d coord arrays.
set distort .4
for {set i 0} {$i < $nx} {incr i} {
set xx [expr -1. + $i * ( 2. / ($nx-1.) )]
xg1 $i = [expr $xx + $distort * cos( .5 * $pi * $xx ) ]
}
for {set j 0} {$j < $ny} {incr j} {
set yy [expr -1. + $j * ( 2. / ($ny-1.) )]
yg1 $j = [expr $yy - $distort * cos( .5 * $pi * $yy ) ]
}
# Build the 2-d coord arrays.
for {set i 0} {$i < $nx} {incr i} {
set xx [expr -1. + $i * ( 2. / ($nx-1.) )]
for {set j 0} {$j < $ny} {incr j} {
set yy [expr -1. + $j * ( 2. / ($ny-1.) )]
set argx [expr .5 * $pi * $xx]
set argy [expr .5 * $pi * $yy]
xg2 $i $j = [expr $xx + $distort * cos($argx) * cos($argy) ]
yg2 $i $j = [expr $yy - $distort * cos($argx) * cos($argy) ]
}
}
# Plot using identity transform
$w cmd pladv 0
$w cmd plvpor 0.1 0.9 0.1 0.9
$w cmd plwind -1.0 1.0 -1.0 1.0
$w cmd plpsty 0
$w cmd plshades zz -1. 1. -1. 1. \
shedge $fill_width $cont_color $cont_width \
1
$w cmd plcol0 1
$w cmd plbox "bcnst" 0.0 0 "bcnstv" 0.0 0
$w cmd plcol0 2
# plcont(w, nx, ny, 1, nx, 1, ny, clevel, ns, mypltr, NULL);
$w cmd pllab "distance" "altitude" "Bogon density"
# Plot using 1d coordinate transform
$w cmd pladv 0
$w cmd plvpor 0.1 0.9 0.1 0.9
$w cmd plwind -1.0 1.0 -1.0 1.0
$w cmd plpsty 0
$w cmd plshades zz -1. 1. -1. 1. \
shedge $fill_width $cont_color $cont_width \
1 pltr1 xg1 yg1
$w cmd plcol0 1
$w cmd plbox "bcnst" 0.0 0 "bcnstv" 0.0 0
$w cmd plcol0 2
# plcont(w, nx, ny, 1, nx, 1, ny, clevel, ns, pltr1, (void *) &cgrid1);
$w cmd pllab "distance" "altitude" "Bogon density"
# Plot using 2d coordinate transform
$w cmd pladv 0
$w cmd plvpor 0.1 0.9 0.1 0.9
$w cmd plwind -1.0 1.0 -1.0 1.0
$w cmd plpsty 0
$w cmd plshades zz -1. 1. -1. 1. \
shedge $fill_width $cont_color $cont_width \
0 pltr2 xg2 yg2
$w cmd plcol0 1
$w cmd plbox "bcnst" 0.0 0 "bcnstv" 0.0 0
$w cmd plcol0 2
$w cmd plcont ww clevel pltr2 xg2 yg2
$w cmd pllab "distance" "altitude" "Bogon density, with streamlines"
# Plot using 2d coordinate transform with both shades and contours.
$w cmd pladv 0
$w cmd plvpor 0.1 0.9 0.1 0.9
$w cmd plwind -1.0 1.0 -1.0 1.0
$w cmd plpsty 0
$w cmd plshades zz -1. 1. -1. 1. \
shedge $fill_width 2 3 \
0 pltr2 xg2 yg2
$w cmd plcol0 1
$w cmd plbox "bcnst" 0.0 0 "bcnstv" 0.0 0
$w cmd plcol0 2
$w cmd pllab "distance" "altitude" "Bogon density"
# Polar plot example demonstrating wrapping support.
# Build the new coordinate matrices.
set nylim [expr $ny - 1]; set wrap 2;
matrix xg f $nx $nylim
matrix yg f $nx $nylim
matrix z f $nx $nylim
for {set i 0} {$i < $nx} {incr i} {
set r [expr $i / ($nx - 1.)]
for {set j 0} {$j < $nylim} {incr j} {
set t [expr 2. * $pi * $j / ($ny - 1.)]
xg $i $j = [expr $r * cos($t)]
yg $i $j = [expr $r * sin($t)]
z $i $j = [expr exp(-$r*$r) * cos(5.*$t) * cos(5.*$pi*$r) ]
}
}
# Need a new shedge to go along with the new data set.
set zmin [z 0 0]
set zmax $zmin
for {set i 0} {$i < $nx} {incr i} {
for {set j 0} {$j < $nylim} {incr j} {
if {[z $i $j] < $zmin} { set zmin [z $i $j] }
if {[z $i $j] > $zmax} { set zmax [z $i $j] }
}
}
for {set i 0} {$i < [expr $ns+1]} {incr i} {
shedge $i = [expr $zmin + ($zmax - $zmin)/double($ns) * double($i)]
}
$w cmd pladv 0
$w cmd plvpor 0.1 0.9 0.1 0.9
$w cmd plwind -1.0 1.0 -1.0 1.0
$w cmd plpsty 0
$w cmd plshades z -1. 1. -1. 1. \
shedge $fill_width $cont_color $cont_width \
0 pltr2 xg yg $wrap
# Hold perimeter
matrix px f 100; matrix py f 100
for {set i 0} {$i < 100} {incr i} {
set t [expr 2. * $pi * $i / 99.]
px $i = [expr cos($t)]
py $i = [expr sin($t)]
}
# draw the perimeter.
$w cmd plcol0 1
$w cmd plline 100 px py
# And label the plot.
$w cmd plcol0 2
$w cmd pllab "" "" "Tokamak Bogon Instability"
# Restore defaults
$w cmd plcol0 1
}
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