/usr/share/tcltk/tklib0.6/plotchart/plotcontour.tcl is in tklib 0.6-2.
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1822 1823 1824 1825 1826 1827 1828 1829 1830 1831 1832 1833 1834 1835 1836 1837 1838 1839 1840 1841 1842 1843 1844 1845 1846 1847 1848 1849 1850 1851 1852 1853 1854 1855 1856 1857 1858 1859 1860 1861 | # plotcontour.tcl --
# Contour plotting test program for the Plotchart package
#
# Author: Mark Stucky
#
# The basic idea behind the method used for contouring within this sample
# is primarily based on :
#
# (1) "Contour Plots of Large Data Sets" by Chris Johnston
# Computer Language, May 1986
#
# a somewhat similar method was also described in
#
# (2) "A Contouring Subroutine" by Paul D. Bourke
# BYTE, June 1987
# http://astronomy.swin.edu.au/~pbourke/projection/conrec/
#
# In (1) it is assumed that you have a N x M grid of data that you need
# to process. In order to generate a contour, each cell of the grid
# is handled without regard to it's neighbors. This is unlike many other
# contouring algorithms that follow the current contour line into
# neighboring cells in an attempt to produce "smoother" contours.
#
# In general the method described is:
#
# 1) for each four cornered cell of the grid,
# calculate the center of the cell (average of the four corners)
#
# data(i ,j) : Point (1)
# data(i+1,j) : Point (2)
# data(i+1,j+1) : Point (3)
# data(i ,j+1) : Point (4)
# center : Point (5)
#
# (4)-------------(3)
# | \ / |
# | \ / |
# | \ / |
# | \ / |
# | \ / |
# | (5) |
# | / \ |
# | / \ |
# | / \ |
# ^ | / \ |
# | | / \ |
# J (1)-------------(2)
#
# I ->
#
# This divides the cell into four triangles.
#
# 2) Each of the five points in the cell can be assigned a sign (+ or -)
# depending upon whether the point is above (+) the current contour
# or below (-).
#
# A contour will cross an edge whenever the points on the boundary of
# the edge are of an opposite sign.
#
# A few examples :
#
# (-) (-) (-) | (+) (-) (-) (+) | (-)
# \ _ \
# \ / \ \
# (-) - (-) | _ /(+) | - (+) -
# / / / \
# / / / \
# (-) | (+) (-) | (+) (+) | (-) (-) | (+)
#
#
# (Hopefully the "rough" character diagrams above give you the
# general idea)
#
# It turns out that there are 32 possibles combinations of + and -
# and therefore 32 basic paths through the cell. And if you swap
# the (+) and (-) in the diagram above, the "same" basic path is
# generated:
#
# (+) (+) (+) | (-) (+) (+) (-) | (+)
# \ _ \
# \ / \ \
# (+) - (+) | _ /(-) | - (-) -
# / / / \
# / / / \
# (+) | (-) (+) | (-) (-) | (+) (+) | (-)
#
#
# So, it turns out that there are 16 basic paths through the cell.
#
###############################################################################
#
# The original article/code worked on all four triangles together and
# generated one of the 16 paths.
#
# For this version of the code, I split the cell into the four triangles
# and handle each triangle individually.
#
# Doing it this way is slower than the above method for calculating the
# contour lines. But since it "simplifies" the code when doing "color filled"
# contours, I opted for the longer calculation times.
#
#
# AM:
# Introduce the following methods in createXYPlot:
# - grid Draw the grid (x,y needed)
# - contourlines Draw isolines (x,y,z needed)
# - contourfill Draw shades (x,y,z needed)
# - contourbox Draw uniformly coloured cells (x,y,z needed)
#
# This needs still to be done:
# - colourmap Set colours to be used (possibly interpolated)
#
# Note:
# To get the RGB values of a named colour:
# winfo rgb . color (divide by 256)
#
# The problem:
# What interface do we use?
#
# Changes:
# - Capitalised several proc names (to indicate they are private to
# the Plotchart package)
# - Changed the data structure from an array to a list of lists.
# This means:
# - No confusion about the start of indices
# - Lists can be passed as ordinary arguments
# - In principle they are faster, but that does not really
# matter here
# To do:
# - Absorb all global arrays into the Plotchart system of private data
# - Get rid of the bug in the shades algorithm ;)
#
# DrawGrid --
# Draw the grid as contained in the lists of coordinates
# Arguments:
# w Canvas to draw in
# x X-coordinates of grid points (list of lists)
# y Y-coordinates of grid points (list of lists)
# Result:
# None
# Side effect:
# Grid drawn as lines between the vertices
# Note:
# STILL TO DO
# A cell is only drawn if there are four well-defined
# corners. If the x or y coordinate is missing, the cell is
# skipped.
#
proc ::Plotchart::DrawGrid {w x y} {
set maxrow [llength $x]
set maxcol [llength [lindex $x 0]]
for {set i 0} {$i < $maxrow} {incr i} {
set xylist {}
for {set j 0} {$j < $maxcol} {incr j} {
lappend xylist [lindex $x $i $j] [lindex $y $i $j]
}
C_line $w $xylist black
}
for {set j 0} {$j < $maxcol} {incr j} {
set xylist {}
for {set i 0} {$i < $maxrow} {incr i} {
lappend xylist [lindex $x $i $j] [lindex $y $i $j]
}
C_line $w $xylist black
}
}
# DrawIsolines --
# Draw isolines in the given grid
# Arguments:
# canv Canvas to draw in
# x X-coordinates of grid points (list of lists)
# y Y-coordinates of grid points (list of lists)
# f Values of the parameter on the grid cell corners
# cont List of contour classes (or empty to indicate
# automatic scaling
# Result:
# None
# Side effect:
# Isolines drawn
# Note:
# A cell is only drawn if there are four well-defined
# corners. If the x or y coordinate is missing or the value is
# missing, the cell is skipped.
#
proc ::Plotchart::DrawIsolines {canv x y f {cont {}} } {
variable contour_options
set contour_options(simple_box_contour) 0
set contour_options(filled_contour) 0
# DrawContour $canv $x $y $f 0.0 100.0 20.0
DrawContour $canv $x $y $f $cont
}
# DrawShades --
# Draw filled contours in the given grid
# Arguments:
# canv Canvas to draw in
# x X-coordinates of grid points (list of lists)
# y Y-coordinates of grid points (list of lists)
# f Values of the parameter on the grid cell corners
# cont List of contour classes (or empty to indicate
# automatic scaling
# Result:
# None
# Side effect:
# Shades (filled contours) drawn
# Note:
# A cell is only drawn if there are four well-defined
# corners. If the x or y coordinate is missing or the value is
# missing, the cell is skipped.
#
proc ::Plotchart::DrawShades {canv x y f {cont {}} } {
variable contour_options
set contour_options(simple_box_contour) 0
set contour_options(filled_contour) 1
# DrawContour $canv $x $y $f 0.0 100.0 20.0
DrawContour $canv $x $y $f $cont
}
# DrawBox --
# Draw filled cells in the given grid (colour chosen according
# to the _average_ of the four corner values)
# Arguments:
# canv Canvas to draw in
# x X-coordinates of grid points (list of lists)
# y Y-coordinates of grid points (list of lists)
# f Values of the parameter on the grid cell corners
# cont List of contour classes (or empty to indicate
# automatic scaling
# Result:
# None
# Side effect:
# Filled cells (quadrangles) drawn
# Note:
# A cell is only drawn if there are four well-defined
# corners. If the x or y coordinate is missing or the value is
# missing, the cell is skipped.
#
proc ::Plotchart::DrawBox {canv x y f {cont {}} } {
variable contour_options
set contour_options(simple_box_contour) 1
set contour_options(filled_contour) 0
# DrawContour $canv $x $y $f 0.0 100.0 20.0
DrawContour $canv $x $y $f $cont
}
# Draw3DFunctionContour --
# Plot a function of x and y with a color filled contour
# Arguments:
# w Name of the canvas
# function Name of a procedure implementing the function
# cont contour levels
# Result:
# None
# Side effect:
# The plot of the function - given the grid
#
proc ::Plotchart::Draw3DFunctionContour { w function {cont {}} } {
variable scaling
variable contour_options
set contour_options(simple_box_contour) 0
set contour_options(filled_contour) 1
set noTrans 0
::Plotchart::setColormapColors [llength $cont] 0.0
set nxcells $scaling($w,nxcells)
set nycells $scaling($w,nycells)
set xmin $scaling($w,xmin)
set xmax $scaling($w,xmax)
set ymin $scaling($w,ymin)
set ymax $scaling($w,ymax)
set dx [expr {($xmax-$xmin)/double($nxcells)}]
set dy [expr {($ymax-$ymin)/double($nycells)}]
foreach {fill border} $scaling($w,colours) {break}
#
# Draw the quadrangles making up the plot in the right order:
# first y from minimum to maximum
# then x from maximum to minimum
#
for { set j 0 } { $j < $nycells } { incr j } {
set y1 [expr {$ymin + $dy*$j}]
set y2 [expr {$y1 + $dy}]
for { set i $nxcells } { $i > 0 } { incr i -1 } {
set x2 [expr {$xmin + $dx*$i}]
set x1 [expr {$x2 - $dx}]
set z11 [$function $x1 $y1]
set z12 [$function $x1 $y2]
set z21 [$function $x2 $y1]
set z22 [$function $x2 $y2]
foreach {px11 py11} [coords3DToPixel $w $x1 $y1 $z11] {break}
foreach {px12 py12} [coords3DToPixel $w $x1 $y2 $z12] {break}
foreach {px21 py21} [coords3DToPixel $w $x2 $y1 $z21] {break}
foreach {px22 py22} [coords3DToPixel $w $x2 $y2 $z22] {break}
set xb [list $px11 $px21 $px22 $px12]
set yb [list $py11 $py21 $py22 $py12]
set fb [list $z11 $z21 $z22 $z12 ]
Box_contour $w $xb $yb $fb $cont $noTrans
$w create line $px11 $py11 $px21 $py21 $px22 $py22 \
$px12 $py12 $px11 $py11 \
-fill $border
}
}
}
# DrawContour --
# Routine that loops over the grid and delegates the actual drawing
# Arguments:
# canv Canvas to draw in
# x X-coordinates of grid points (list of lists)
# y Y-coordinates of grid points (list of lists)
# f Values of the parameter on the grid cell corners
# cont List of contour classes (or empty to indicate
# automatic scaling)
# Result:
# None
# Side effect:
# Isolines, shades or boxes drawn
# Note:
# A cell is only drawn if there are four well-defined
# corners. If the x or y coordinate is missing or the value is
# missing, the cell is skipped.
#
proc ::Plotchart::DrawContour {canv x y f cont} {
variable contour_options
variable colorMap
#
# Construct the class-colour list
#
set cont [MakeContourClasses $f $cont [expr {1-$contour_options(filled_contour)}]]
set fmin [lindex $cont 0 0]
set fmax [lindex $cont end 0]
set ncont [llength $cont]
# Now that we know how many entries (ncont), create
# the colormap colors
#
# I moved this into MakeContourClasses...
# ::Plotchart::setColormapColors $ncont
set maxrow [llength $x]
set maxcol [llength [lindex $x 0]]
for {set i 0} {$i < $maxrow-1} {incr i} {
set i1 [expr {$i + 1}]
for {set j 0} {$j < $maxcol-1} {incr j} {
set j1 [expr {$j + 1}]
set x1 [lindex $x $i1 $j]
set x2 [lindex $x $i $j]
set x3 [lindex $x $i $j1]
set x4 [lindex $x $i1 $j1]
set y1 [lindex $y $i1 $j]
set y2 [lindex $y $i $j]
set y3 [lindex $y $i $j1]
set y4 [lindex $y $i1 $j1]
set f1 [lindex $f $i1 $j]
set f2 [lindex $f $i $j]
set f3 [lindex $f $i $j1]
set f4 [lindex $f $i1 $j1]
set xb [list $x1 $x2 $x3 $x4]
set yb [list $y1 $y2 $y3 $y4]
set fb [list $f1 $f2 $f3 $f4]
if { [lsearch $fb {}] >= 0 ||
[lsearch $xb {}] >= 0 ||
[lsearch $yb {}] >= 0 } {
continue
}
Box_contour $canv $xb $yb $fb $cont
}
}
}
# Box_contour --
# Draw a filled box
# Arguments:
# canv Canvas to draw in
# xb X-coordinates of the four corners
# yb Y-coordinates of the four corners
# fb Values of the parameter on the four corners
# cont List of contour classes and colours
# Result:
# None
# Side effect:
# Box drawn for a single cell
#
proc ::Plotchart::Box_contour {canv xb yb fb cont {doTrans 1}} {
variable colorMap
variable contour_options
foreach {x1 x2 x3 x4} $xb {}
foreach {y1 y2 y3 y4} $yb {}
foreach {f1 f2 f3 f4} $fb {}
set xc [expr {($x1 + $x2 + $x3 + $x4) * 0.25}]
set yc [expr {($y1 + $y2 + $y3 + $y4) * 0.25}]
set fc [expr {($f1 + $f2 + $f3 + $f4) * 0.25}]
if {$contour_options(simple_box_contour)} {
set fmin [lindex $cont 0]
set fmax [lindex $cont end]
set ncont [llength $cont]
set ic 0
for {set i 0} {$i < $ncont} {incr i} {
set ff [lindex $cont $i 0]
if {$ff <= $fc} {
set ic $i
}
}
set xylist [list $x1 $y1 $x2 $y2 $x3 $y3 $x4 $y4]
# canvasPlot::polygon $win $xylist -fill $cont($ic,color)
### C_polygon $canv $xylist $cont($ic,color)
C_polygon $canv $xylist [lindex $cont $ic 1]
} else {
#debug# puts "Tri_contour 1)"
Tri_contour $canv $x1 $y1 $f1 $x2 $y2 $f2 $xc $yc $fc $cont $doTrans
#debug# puts "Tri_contour 2)"
Tri_contour $canv $x2 $y2 $f2 $x3 $y3 $f3 $xc $yc $fc $cont $doTrans
#debug# puts "Tri_contour 3)"
Tri_contour $canv $x3 $y3 $f3 $x4 $y4 $f4 $xc $yc $fc $cont $doTrans
#debug# puts "Tri_contour 4)"
Tri_contour $canv $x4 $y4 $f4 $x1 $y1 $f1 $xc $yc $fc $cont $doTrans
}
}
# Tri_contour --
# Draw isolines or shades in a triangle
# Arguments:
# canv Canvas to draw in
# x1,x2,x3 X-coordinate of the three corners
# y1,y2,y3 Y-coordinates of the three corners
# f1,f2,f3 Values of the parameter on the three corners
# cont List of contour classes and colours
# Result:
# None
# Side effect:
# Isolines/shades drawn for a single triangle
#
proc ::Plotchart::Tri_contour { canv x1 y1 f1 x2 y2 f2 x3 y3 f3 cont {doTrans 1} } {
variable contour_options
variable colorMap
set ncont [llength $cont]
# Find the min/max function values for this triangle
#
set tfmin [min $f1 $f2 $f3]
set tfmax [max $f1 $f2 $f3]
# Based on the above min/max, figure out which
# contour levels/colors that bracket this interval
#
set imin 0
set imax 0 ;#mbs#
for {set i 0} {$i < $ncont} {incr i} {
set ff [lindex $cont $i] ; ### set ff $cont($i,fval)
if {$ff <= $tfmin} {
set imin $i
set imax $i
}
if { $ff <= $tfmax} {
set imax $i
}
}
set vertlist {}
# Loop over all contour levels of interest for this triangle
#
for {set ic $imin} {$ic <= $imax} {incr ic} {
# Get the value for this contour level
#
set ff [lindex $cont $ic 0] ;### set ff $cont($ic,fval)
set xylist {}
set pxylist {}
# Classify the triangle based on whether the functional values, f1,f2,f3
# are above (+), below (-), or equal (=) to the current contour level ff
#
set s1 [::Plotchart::setFLevel $f1 $ff]
set s2 [::Plotchart::setFLevel $f2 $ff]
set s3 [::Plotchart::setFLevel $f3 $ff]
set class "$s1$s2$s3"
# Describe class here...
# ( - - - ) : Case A,
# ( - - = ) : Case B, color a point, do nothing
# ( - - + ) : Case C, contour between {23}-{31}
# ( - = - ) : Case D, color a point, do nothing
# ( - = = ) : Case E, contour line between 2-3
# ( - = + ) : Case F, contour between 2-{31}
# ( - + - ) : Case G, contour between {12}-{23}
# ( - + = ) : Case H, contour between {12}-3
# ( - + + ) : Case I, contour between {12}-{31}
# ( = - - ) : Case J, color a point, do nothing
# ( = - = ) : Case K, contour line between 1-3
# ( = - + ) : Case L, contour between 1-{23}
# ( = = - ) : Case M, contour line between 1-2
# ( = = = ) : Case N, fill full triangle, return
# ( = = + ) : Case M,
# ( = + - ) : Case L,
# ( = + = ) : Case K,
# ( = + + ) : Case J,
# ( + - - ) : Case I,
# ( + - = ) : Case H,
# ( + - + ) : Case G,
# ( + = - ) : Case F,
# ( + = = ) : Case E,
# ( + = + ) : Case D,
# ( + + - ) : Case C,
# ( + + = ) : Case B,
# ( + + + ) : Case A,
switch -- $class {
"---" {
############### Case A ###############
#debug# puts "class A = $class , $ic , $ff"
if {$contour_options(filled_contour)} {
set pxylist [list $x1 $y1 $x2 $y2 $x3 $y3]
C_polygon $canv $pxylist [lindex $colorMap $ic] $doTrans
}
return
}
"+++" {
#debug# puts "class A = $class , $ic , $ff"
if {$contour_options(filled_contour)} {
if {$ic == $imax} {
set pxylist [list $x1 $y1 $x2 $y2 $x3 $y3]
set ictmp [expr {$ic + 1}]
C_polygon $canv $pxylist [lindex $colorMap $ictmp] $doTrans
return
}
}
}
"===" {
############### Case N ###############
#debug# puts "class N = $class , $ic , $ff"
if {$contour_options(filled_contour)} {
set pxylist [list $x1 $y1 $x2 $y2 $x3 $y3]
C_polygon $canv $pxylist [lindex $colorMap $ic] $doTrans
}
return
}
"--=" {
############### Case B ###############
#debug# puts "class B = $class , $ic , $ff"
if {$contour_options(filled_contour)} {
set pxylist [list $x1 $y1 $x2 $y2 $x3 $y3]
C_polygon $canv $pxylist [lindex $colorMap $ic] $doTrans
}
return
}
"++=" {
#debug# puts "class B= $class , $ic , $ff , do nothing unless ic == imax"
if {$ic == $imax} {
if {$contour_options(filled_contour)} {
set pxylist [list $x1 $y1 $x2 $y2 $x3 $y3]
set ictmp [expr {$ic + 1}]
C_polygon $canv $pxylist [lindex $colorMap $ictmp] $doTrans
return
}
}
}
"-=-" {
############### Case D ###############
#debug# puts "class D = $class , $ic , $ff"
if {$contour_options(filled_contour)} {
set pxylist [list $x1 $y1 $x2 $y2 $x3 $y3]
C_polygon $canv $pxylist [lindex $colorMap $ic] $doTrans
}
return
}
"+=+" {
#debug# puts "class D = $class , $ic , $ff , do nothing unless ic == imax"
if {$ic == $imax} {
if {$contour_options(filled_contour)} {
set pxylist [list $x1 $y1 $x2 $y2 $x3 $y3]
set ictmp [expr {$ic + 1}]
C_polygon $canv $pxylist [lindex $colorMap $ictmp] $doTrans
return
}
}
}
"=--" {
############### Case J ###############
#debug# puts "class J = $class , $ic , $ff"
if {$contour_options(filled_contour)} {
set pxylist [list $x1 $y1 $x2 $y2 $x3 $y3]
C_polygon $canv $pxylist [lindex $colorMap $ic] $doTrans
}
return
}
"=++" {
#debug# puts "class J = $class , $ic , $ff , do nothing unless ic == imax"
if {$ic == $imax} {
if {$contour_options(filled_contour)} {
set pxylist [list $x1 $y1 $x2 $y2 $x3 $y3]
set ictmp [expr {$ic + 1}]
C_polygon $canv $pxylist [lindex $colorMap $ictmp] $doTrans
return
}
}
}
"=-=" {
############### Case K ###############
#debug# puts "class K = $class , $ic , $ff"
set xylist [list $x1 $y1 $x3 $y3]
if {$contour_options(filled_contour)} {
set pxylist [list $x1 $y1 $x2 $y2 $x3 $y3]
C_polygon $canv $pxylist [lindex $colorMap $ic] $doTrans
}
C_line $canv $xylist [lindex $colorMap $ic] $doTrans
return
}
"=+=" {
#debug# puts "class K = $class , $ic , $ff"
set xylist [list $x1 $y1 $x3 $y3]
if {$ic == $imax} {
if {$contour_options(filled_contour)} {
set pxylist [list $x1 $y1 $x2 $y2 $x3 $y3]
set ictmp [expr {$ic + 1}]
C_polygon $canv $pxylist [lindex $colorMap $ictmp] $doTrans
return
}
C_line $canv $xylist [lindex $colorMap $ic] $doTrans
} else {
C_line $canv $xylist [lindex $colorMap $ic] $doTrans
}
}
"-==" {
############### Case E ###############
#debug# puts "class E = $class , $ic , $ff"
set xylist [list $x2 $y2 $x3 $y3]
if {$contour_options(filled_contour)} {
set pxylist [list $x1 $y1 $x2 $y2 $x3 $y3]
C_polygon $canv $pxylist [lindex $colorMap $ic] $doTrans
}
C_line $canv $xylist [lindex $colorMap $ic] $doTrans
return
}
"+==" {
#debug# puts "class E = $class , $ic , $ff"
set xylist [list $x2 $y2 $x3 $y3]
if {$ic == $imax} {
if {$contour_options(filled_contour)} {
set pxylist [list $x1 $y1 $x2 $y2 $x3 $y3]
set ictmp [expr {$ic + 1}]
C_polygon $canv $pxylist [lindex $colorMap $ictmp] $doTrans
return
}
C_line $canv $xylist [lindex $colorMap $ic] $doTrans
} else {
C_line $canv $xylist [lindex $colorMap $ic] $doTrans
}
}
"==-" {
############### Case M ###############
#debug# puts "class M = $class , $ic , $ff"
set xylist [list $x1 $y1 $x2 $y2]
if {$contour_options(filled_contour)} {
set pxylist [list $x1 $y1 $x2 $y2 $x3 $y3]
C_polygon $canv $pxylist [lindex $colorMap $ic] $doTrans
}
C_line $canv $xylist [lindex $colorMap $ic] $doTrans
return
}
"==+" {
#debug# puts "class M = $class , $ic , $ff"
set xylist [list $x1 $y1 $x2 $y2]
if {$ic == $imax} {
if {$contour_options(filled_contour)} {
set pxylist [list $x1 $y1 $x2 $y2 $x3 $y3]
set ictmp [expr {$ic + 1}]
C_polygon $canv $pxylist [lindex $colorMap $ictmp] $doTrans
return
}
C_line $canv $xylist [lindex $colorMap $ic] $doTrans
} else {
C_line $canv $xylist [lindex $colorMap $ic] $doTrans
}
}
"-=+" {
############### Case F ###############
#debug# puts "class F = $class , $ic , $ff"
set xylist [list $x2 $y2]
set xyf2 [fintpl $x3 $y3 $f3 $x1 $y1 $f1 $ff]
foreach {xx yy} $xyf2 {}
lappend xylist $xx $yy
if {$contour_options(filled_contour)} {
set pxylist $xylist
lappend pxylist $x1 $y1
C_polygon $canv $pxylist [lindex $colorMap $ic] $doTrans
}
C_line $canv $xylist [lindex $colorMap $ic] $doTrans
set x1 $xx; set y1 $yy; set f1 $ff
if {$ic == $imax} {
if {$contour_options(filled_contour)} {
set pxylist [list $x1 $y1 $x2 $y2 $x3 $y3]
set ictmp [expr {$ic + 1}]
C_polygon $canv $pxylist [lindex $colorMap $ictmp] $doTrans
return
}
}
}
"+=-" {
#debug# puts "class F = $class , $ic , $ff"
set xylist [list $x2 $y2]
set xyf2 [fintpl $x3 $y3 $f3 $x1 $y1 $f1 $ff]
foreach {xx yy} $xyf2 {}
lappend xylist $xx $yy
if {$contour_options(filled_contour)} {
set pxylist $xylist
lappend pxylist $x3 $y3
C_polygon $canv $pxylist [lindex $colorMap $ic] $doTrans
}
C_line $canv $xylist [lindex $colorMap $ic] $doTrans
set x3 $xx; set y3 $yy; set f3 $ff
if {$ic == $imax} {
if {$contour_options(filled_contour)} {
set pxylist [list $x1 $y1 $x2 $y2 $x3 $y3]
set ictmp [expr {$ic + 1}]
C_polygon $canv $pxylist [lindex $colorMap $ictmp] $doTrans
return
}
}
}
"-+=" {
############### Case H ###############
#debug# puts "class H = $class , $ic , $ff"
set xylist [fintpl $x1 $y1 $f1 $x2 $y2 $f2 $ff]
foreach {xx yy} $xylist {}
lappend xylist $x3 $y3
if {$contour_options(filled_contour)} {
set pxylist $xylist
lappend pxylist $x1 $y1
C_polygon $canv $pxylist [lindex $colorMap $ic] $doTrans
}
C_line $canv $xylist [lindex $colorMap $ic] $doTrans
set x1 $xx; set y1 $yy; set f1 $ff
if {$ic == $imax} {
if {$contour_options(filled_contour)} {
set pxylist [list $x1 $y1 $x2 $y2 $x3 $y3]
set ictmp [expr {$ic + 1}]
C_polygon $canv $pxylist [lindex $colorMap $ictmp] $doTrans
return
}
}
}
"+-=" {
#debug# puts "class H = $class , $ic , $ff"
set xylist [fintpl $x1 $y1 $f1 $x2 $y2 $f2 $ff]
foreach {xx yy} $xylist {}
lappend xylist $x3 $y3
C_line $canv $xylist [lindex $colorMap $ic] $doTrans
if {$contour_options(filled_contour)} {
set pxylist $xylist
lappend pxylist $x2 $y2
C_polygon $canv $pxylist [lindex $colorMap $ic] $doTrans
}
C_line $canv $xylist [lindex $colorMap $ic] $doTrans
set x2 $xx; set y2 $yy; set f2 $ff
if {$ic == $imax} {
if {$contour_options(filled_contour)} {
set pxylist [list $x1 $y1 $x2 $y2 $x3 $y3]
set ictmp [expr {$ic + 1}]
C_polygon $canv $pxylist [lindex $colorMap $ictmp] $doTrans
return
}
}
}
"=-+" {
############### Case L ###############
#debug# puts "class L = $class , $ic , $ff"
set xylist [fintpl $x2 $y2 $f2 $x3 $y3 $f3 $ff]
foreach {xx yy} $xylist {}
lappend xylist $x1 $y1
C_line $canv $xylist [lindex $colorMap $ic] $doTrans
if {$contour_options(filled_contour)} {
set pxylist $xylist
lappend pxylist $x2 $y2
C_polygon $canv $pxylist [lindex $colorMap $ic] $doTrans
}
C_line $canv $xylist [lindex $colorMap $ic] $doTrans
set x2 $xx; set y2 $yy; set f2 $ff
if {$ic == $imax} {
if {$contour_options(filled_contour)} {
set pxylist [list $x1 $y1 $x2 $y2 $x3 $y3]
set ictmp [expr {$ic + 1}]
C_polygon $canv $pxylist [lindex $colorMap $ictmp] $doTrans
return
}
}
}
"=+-" {
#debug# puts "class L = $class , $ic , $ff"
set xylist [fintpl $x2 $y2 $f2 $x3 $y3 $f3 $ff]
foreach {xx yy} $xylist {}
lappend xylist $x1 $y1
C_line $canv $xylist [lindex $colorMap $ic] $doTrans
if {$contour_options(filled_contour)} {
set pxylist $xylist
lappend pxylist $x3 $y3
C_polygon $canv $pxylist [lindex $colorMap $ic] $doTrans
}
C_line $canv $xylist [lindex $colorMap $ic] $doTrans
set x3 $xx; set y3 $yy; set f3 $ff
if {$ic == $imax} {
if {$contour_options(filled_contour)} {
set pxylist [list $x1 $y1 $x2 $y2 $x3 $y3]
set ictmp [expr {$ic + 1}]
C_polygon $canv $pxylist [lindex $colorMap $ictmp] $doTrans
return
}
}
}
"--+" {
############### Case C ###############
#debug# puts "class C = $class , $ic , $ff"
set xyf1 [fintpl $x2 $y2 $f2 $x3 $y3 $f3 $ff]
set xyf2 [fintpl $x3 $y3 $f3 $x1 $y1 $f1 $ff]
set xylist $xyf1
foreach {xx1 yy1} $xyf1 {}
foreach {xx2 yy2} $xyf2 {}
lappend xylist $xx2 $yy2
if {$contour_options(filled_contour)} {
set pxylist $xylist
lappend pxylist $x1 $y1 $x2 $y2
C_polygon $canv $pxylist [lindex $colorMap $ic] $doTrans
if {$ic == $imax} {
set pxylist $xylist
lappend pxylist $x3 $y3
C_polygon $canv $pxylist [lindex $colorMap $ic] $doTrans
}
}
C_line $canv $xylist [lindex $colorMap $ic] $doTrans
set oldlist {}
set x1 $xx1; set y1 $yy1; set f1 $ff
set x2 $xx2; set y2 $yy2; set f2 $ff
if {$ic == $imax} {
if {$contour_options(filled_contour)} {
set pxylist [list $x1 $y1 $x2 $y2 $x3 $y3]
set ictmp [expr {$ic + 1}]
C_polygon $canv $pxylist [lindex $colorMap $ictmp] $doTrans
return
}
}
}
"++-" {
#debug# puts "class C = $class , $ic , $ff"
set xyf1 [fintpl $x2 $y2 $f2 $x3 $y3 $f3 $ff]
set xyf2 [fintpl $x3 $y3 $f3 $x1 $y1 $f1 $ff]
set xylist $xyf1
foreach {xx1 yy1} $xyf1 {}
foreach {xx2 yy2} $xyf2 {}
lappend xylist $xx2 $yy2
if {$contour_options(filled_contour)} {
set pxylist $xylist
lappend pxylist $x3 $y3
C_polygon $canv $pxylist [lindex $colorMap $ic] $doTrans
}
if {$ic == $imax} {
if {$contour_options(filled_contour)} {
set pxylist $xylist
lappend pxylist $x1 $y1 $x2 $y2
set ictmp [expr {$ic + 1}]
C_polygon $canv $pxylist [lindex $colorMap $ictmp] $doTrans
}
} else {
#debug# puts "call Tri_contour : 1) $class"
#debug# puts " : $xx1 $yy1 $ff $xx2 $yy2 $ff $x1 $y1 $f1"
Tri_contour $canv $xx1 $yy1 $ff $xx2 $yy2 $ff $x1 $y1 $f1 $cont $doTrans
#debug# puts "call Tri_contour : 2) $class"
#debug# puts " : $xx1 $yy1 $ff $x1 $y1 $f1 $x2 $y2 $f2"
Tri_contour $canv $xx1 $yy1 $ff $x1 $y1 $f1 $x2 $y2 $f2 $cont $doTrans
}
C_line $canv $xylist [lindex $colorMap $ic] $doTrans
return
}
"-+-" {
############### Case G ###############
#debug# puts "class G = $class , $ic , $ff"
set xyf1 [fintpl $x1 $y1 $f1 $x2 $y2 $f2 $ff]
set xyf2 [fintpl $x2 $y2 $f2 $x3 $y3 $f3 $ff]
set xylist $xyf1
foreach {xx1 yy1} $xyf1 {}
foreach {xx2 yy2} $xyf2 {}
lappend xylist $xx2 $yy2
if {$contour_options(filled_contour)} {
set pxylist $xylist
lappend pxylist $x3 $y3 $x1 $y1
C_polygon $canv $pxylist [lindex $colorMap $ic] $doTrans
if {$ic == $imax} {
set pxylist $xylist
lappend pxylist $x2 $y2
C_polygon $canv $pxylist [lindex $colorMap $ic] $doTrans
}
}
C_line $canv $xylist [lindex $colorMap $ic] $doTrans
set oldlist {}
set x1 $xx1; set y1 $yy1; set f1 $ff
set x3 $xx2; set y3 $yy2; set f3 $ff
if {$ic == $imax} {
if {$contour_options(filled_contour)} {
set pxylist [list $x1 $y1 $x2 $y2 $x3 $y3]
set ictmp [expr {$ic + 1}]
C_polygon $canv $pxylist [lindex $colorMap $ictmp] $doTrans
return
}
}
}
"+-+" {
#debug# puts "class G = $class , $ic , $ff"
set xyf1 [fintpl $x1 $y1 $f1 $x2 $y2 $f2 $ff]
set xyf2 [fintpl $x2 $y2 $f2 $x3 $y3 $f3 $ff]
foreach {xx1 yy1} $xyf1 {}
foreach {xx2 yy2} $xyf2 {}
set xylist $xyf1
lappend xylist $xx2 $yy2
if {$contour_options(filled_contour)} {
set pxylist $xylist
lappend pxylist $x2 $y2
C_polygon $canv $pxylist [lindex $colorMap $ic] $doTrans
}
if {$ic == $imax} {
if {$contour_options(filled_contour)} {
set pxylist $xylist
lappend pxylist $x3 $y3 $x1 $y1
set ictmp [expr {$ic + 1}]
C_polygon $canv $pxylist [lindex $colorMap $ictmp] $doTrans
}
} else {
#debug# puts "call Tri_contour : 1) $class"
#debug# puts " : $xx1 $yy1 $ff $xx2 $yy2 $ff $x3 $y3 $f3"
Tri_contour $canv $xx1 $yy1 $ff $xx2 $yy2 $ff $x3 $y3 $f3 $cont $doTrans
#debug# puts "call Tri_contour : 2) $class"
#debug# puts " : $xx1 $yy1 $ff $x3 $y3 $f3 $x1 $y1 $f1"
Tri_contour $canv $xx1 $yy1 $ff $x3 $y3 $f3 $x1 $y1 $f1 $cont $doTrans
}
C_line $canv $xylist [lindex $colorMap $ic] $doTrans
return
}
"+--" {
############### Case I ###############
#debug# puts "class I = $class , $ic , $ff"
set xyf1 [fintpl $x1 $y1 $f1 $x2 $y2 $f2 $ff]
set xyf2 [fintpl $x3 $y3 $f3 $x1 $y1 $f1 $ff]
set xylist $xyf1
foreach {xx1 yy1} $xyf1 {}
foreach {xx2 yy2} $xyf2 {}
lappend xylist $xx2 $yy2
if {$contour_options(filled_contour)} {
set pxylist $xylist
lappend pxylist $x3 $y3 $x2 $y2
C_polygon $canv $pxylist [lindex $colorMap $ic] $doTrans
if {$ic == $imax} {
set pxylist $xylist
lappend pxylist $x1 $y1
C_polygon $canv $pxylist [lindex $colorMap $ic] $doTrans
}
}
C_line $canv $xylist [lindex $colorMap $ic] $doTrans
set oldlist {}
set x2 $xx1; set y2 $yy1; set f2 $ff
set x3 $xx2; set y3 $yy2; set f3 $ff
if {$ic == $imax} {
if {$contour_options(filled_contour)} {
set pxylist [list $x1 $y1 $x2 $y2 $x3 $y3]
set ictmp [expr {$ic + 1}]
C_polygon $canv $pxylist [lindex $colorMap $ictmp] $doTrans
return
}
}
}
"-++" {
#debug# puts "class I = $class , $ic , $ff"
set xyf1 [fintpl $x1 $y1 $f1 $x2 $y2 $f2 $ff]
set xyf2 [fintpl $x3 $y3 $f3 $x1 $y1 $f1 $ff]
foreach {xx1 yy1} $xyf1 {}
foreach {xx2 yy2} $xyf2 {}
set xylist $xyf1
lappend xylist $xx2 $yy2
if {$contour_options(filled_contour)} {
set pxylist $xylist
lappend pxylist $x1 $y1
C_polygon $canv $pxylist [lindex $colorMap $ic] $doTrans
}
if {$ic == $imax} {
if {$contour_options(filled_contour)} {
set pxylist $xylist
lappend pxylist $x3 $y3 $x2 $y2
set ictmp [expr {$ic + 1}]
C_polygon $canv $pxylist [lindex $colorMap $ictmp] $doTrans
}
} else {
#debug# puts "call Tri_contour : 1) $class"
#debug# puts " : $xx1 $yy1 $ff $xx2 $yy2 $ff $x3 $y3 $f3"
Tri_contour $canv $xx1 $yy1 $ff $xx2 $yy2 $ff $x3 $y3 $f3 $cont $doTrans
#debug# puts "call Tri_contour : 2) $class"
#debug# puts " : $xx1 $yy1 $ff $x3 $y3 $f3 $x2 $y2 $f2"
Tri_contour $canv $xx1 $yy1 $ff $x3 $y3 $f3 $x2 $y2 $f2 $cont $doTrans
}
C_line $canv $xylist [lindex $colorMap $ic] $doTrans
return
}
}
}
}
# setFLevel --
# Auxiliary function: used to classify one functional value to another
# Arguments:
# f1 Second break point and value
# f2 Value to find
# Result:
# + f1 > f2
# = f1 = f2
# - f1 < f2
#
proc ::Plotchart::setFLevel {f1 f2} {
if {$f1 > $f2} {
return "+"
} else {
if {$f1 < $f2} {
return "-"
} else {
return "="
}
}
}
# fintpl --
# Auxiliary function: inverse interpolation
# Arguments:
# x1,y1,f1 First break point and value
# x2,y2,f2 Second break point and value
# ff Value to find
# Result:
# x,y coordinates of point with that value
#
proc ::Plotchart::fintpl {x1 y1 f1 x2 y2 f2 ff} {
if {[expr {$f2 - $f1}] != 0.0} {
set xx [expr {$x1 + (($ff - $f1)*($x2 - $x1)/($f2 - $f1))}]
set yy [expr {$y1 + (($ff - $f1)*($y2 - $y1)/($f2 - $f1))}]
} else {
# If the logic was handled correctly above, this point
# should never be reached.
#
# puts "FINTPL : f1 == f2 : x1,y1 : $x1 , $y1 : x2,y2 : $x2 , $y2"
set xx $x1
set yy $y1
}
set xmin [min $x1 $x2]
set xmax [max $x1 $x2]
set ymin [min $y1 $y2]
set ymax [max $y1 $y2]
if {$xx < $xmin} { set xx $xmin }
if {$xx > $xmax} { set xx $xmax }
if {$yy < $ymin} { set yy $ymin }
if {$yy > $ymax} { set yy $ymax }
return [list $xx $yy]
}
# min --
# Auxiliary function: find the minimum of the arguments
# Arguments:
# val First value
# args All others
# Result:
# Minimum over the arguments
#
proc ::Plotchart::min { val args } {
set min $val
foreach val $args {
if { $val < $min } {
set min $val
}
}
return $min
}
# max --
# Auxiliary function: find the maximum of the arguments
# Arguments:
# val First value
# args All others
# Result:
# Maximum over the arguments
#
proc ::Plotchart::max { val args } {
set max $val
foreach val $args {
if { $val > $max } {
set max $val
}
}
return $max
}
# C_line --
# Draw a line
# Arguments:
# canv Canvas to draw in
# xylist List of raw coordinates
# color Chosen colour
# args Any additional arguments (for line style and such)
# Result:
# None
#
proc ::Plotchart::C_line {canv xylist color {doTrans 1} } {
if {$doTrans} {
set wxylist {}
foreach {xx yy} $xylist {
foreach {pxcrd pycrd} [::Plotchart::coordsToPixel $canv $xx $yy] {break}
lappend wxylist $pxcrd $pycrd
}
eval "$canv create line $wxylist -fill $color"
} else {
$canv create line $xylist -fill $color
}
}
# C_polygon --
# Draw a polygon
# Arguments:
# canv Canvas to draw in
# xylist List of raw coordinates
# color Chosen colour
# args Any additional arguments (for line style and such)
# Result:
# None
#
proc ::Plotchart::C_polygon {canv xylist color {doTrans 1}} {
if {$doTrans} {
set wxylist {}
foreach {xx yy} $xylist {
foreach {pxcrd pycrd} [::Plotchart::coordsToPixel $canv $xx $yy] {break}
lappend wxylist $pxcrd $pycrd
}
eval "$canv create polygon $wxylist -fill $color"
} else {
$canv create polygon $xylist -fill $color
}
}
# MakeContourClasses --
# Return contour classes and colours
# Arguments:
# values List of values
# classes Given list of classes or class/colours
# offset Correction for calculating colours
# Result:
# List of pairs of class limits and colours
# Note:
# This should become more sophisticated!
#
proc ::Plotchart::MakeContourClasses {values classes offset} {
variable contour_options
variable colorMap
if { [llength $classes] == 0 } {
set min {}
set max {}
foreach row $values {
foreach v $row {
if { $v == {} } {continue}
if { $min == {} || $min > $v } {
set min $v
}
if { $max == {} || $max < $v } {
set max $v
}
}
}
foreach {xmin xmax xstep} [determineScale $min $max] {break}
#
# The contour classes must encompass all values
# There might be a problem with border cases
#
set classes {}
set x $xmin
while { $x < $xmax+0.5*$xstep } {
#mbs# lappend classes [list $x]
set x [expr {$x+$xstep}]
lappend classes [list $x]
}
# Now that we know how many entries (ncont), create
# the colormap colors
#
::Plotchart::setColormapColors [expr {[llength $classes] + 1}] $offset
} elseif { [llength [lindex $classes 0]] == 1 } {
#mbs# Changed the above line from " == 2 " to " == 1 "
::Plotchart::setColormapColors [llength $classes] $offset
return $classes
}
#
# Add the colours
#
##### set cont {}
##### set c 0
#####
##### foreach x $classes {
##### set col [lindex $contour_options(colourmap) $c]
##### if { $col == {} } {
##### set c 0
##### set col [lindex $contour_options(colourmap) $c]
##### }
##### lappend cont [list $x $col]
##### incr c
##### }
#####
##### return $cont
#debug# puts "classes (cont) : $classes"
return $classes
}
# setColormapColors --
# Auxiliary function: Based on the current colormap type
# create a colormap with requested number of entries
# Arguments:
# ncont Number of colors in the colormap
# offset Offset for interval
# Result:
# List of colours
#
proc ::Plotchart::setColormapColors {ncont offset} {
variable colorMapType
variable colorMap
#debug# puts "SetColormapColors : ncont = $ncont"
# Note : The default colormap is "jet"
switch -- $colorMapType {
custom {
return
}
hsv {
set hueStart 0.0
set hueEnd 240.0
set colorMap {}
for {set i 0} {$i <= $ncont} {incr i} {
if { $ncont > 1 } {
set dh [expr {($hueStart - $hueEnd) / ($ncont - $offset)}]
} else {
set dh 0.0
}
set hue [expr {$hueStart - ($i * $dh)}]
if {$hue < 0.0} {
set hue [expr {360.0 + $hue}]
}
set rgbList [Hsv2rgb $hue 1.0 1.0]
set r [expr {int([lindex $rgbList 0] * 65535)}]
set g [expr {int([lindex $rgbList 1] * 65535)}]
set b [expr {int([lindex $rgbList 2] * 65535)}]
set color [format "#%.4x%.4x%.4x" $r $g $b]
lappend colorMap $color
}
}
hot {
set colorMap {}
set nc1 [expr {int($ncont * 0.33)}]
set nc2 [expr {int($ncont * 0.67)}]
for {set i 0} {$i <= $ncont} {incr i} {
if {$i <= $nc1} {
set fval [expr { double($i) / (double($nc1)) } ]
set r [expr {int($fval * 65535)}]
set g 0
set b 0
} else {
if {$i <= $nc2} {
set fval [expr { double($i-$nc1) / (double($nc2-$nc1)) } ]
set r 65535
set g [expr {int($fval * 65535)}]
set b 0
} else {
set fval [expr { double($i-$nc2) / (double($ncont-$nc2)) } ]
set r 65535
set g 65535
set b [expr {int($fval * 65535)}]
}
}
set color [format "#%.4x%.4x%.4x" $r $g $b]
lappend colorMap $color
}
}
cool {
set colorMap {}
for {set i 0} {$i <= $ncont} {incr i} {
set fval [expr { double($i) / (double($ncont)-$offset) } ]
set val [expr { 1.0 - $fval }]
set r [expr {int($fval * 65535)}]
set g [expr {int($val * 65535)}]
set b 65535
set color [format "#%.4x%.4x%.4x" $r $g $b]
lappend colorMap $color
}
}
grey -
gray {
set colorMap {}
for {set i 0} {$i <= $ncont} {incr i} {
set fval [expr { double($i) / (double($ncont)-$offset) } ]
set val [expr {0.4 + (0.5 * $fval) }]
set r [expr {int($val * 65535)}]
set g [expr {int($val * 65535)}]
set b [expr {int($val * 65535)}]
set color [format "#%.4x%.4x%.4x" $r $g $b]
lappend colorMap $color
}
}
jet -
default {
set hueStart 240.0
set hueEnd 0.0
set colorMap {}
for {set i 0} {$i <= $ncont} {incr i} {
if { $ncont > 1 } {
set dh [expr {($hueStart - $hueEnd) / ($ncont - $offset)}]
} else {
set dh 0.0
}
set hue [expr {$hueStart - ($i * $dh)}]
if {$hue < 0.0} {
set hue [expr {360.0 + $hue}]
}
set rgbList [Hsv2rgb $hue 1.0 1.0]
set r [expr {int([lindex $rgbList 0] * 65535)}]
set g [expr {int([lindex $rgbList 1] * 65535)}]
set b [expr {int([lindex $rgbList 2] * 65535)}]
set color [format "#%.4x%.4x%.4x" $r $g $b]
lappend colorMap $color
}
}
}
}
# colorMap --
# Define the current colormap type
# Arguments:
# cmap Type of colormap
# Result:
# Updated the internal variable "colorMapType"
# Note:
# Possibly handle "custom" colormaps differently
# At present, if the user passes in a list (length > 1)
# rather than a string, then it is assumes that (s)he
# passed in a list of colors.
#
proc ::Plotchart::colorMap {cmap} {
variable colorMapType
variable colorMap
switch -- $cmap {
"grey" -
"gray" { set colorMapType $cmap }
"jet" { set colorMapType $cmap }
"hot" { set colorMapType $cmap }
"cool" { set colorMapType $cmap }
"hsv" { set colorMapType $cmap }
default {
if {[string is alpha $cmap] == 1} {
puts "Colormap : Unknown colorMapType, $cmap. Using JET"
set colorMapType jet
} else {
if {[llength $cmap] > 1} {
set colorMapType "custom"
set colorMap $cmap
}
}
}
}
}
########################################################################
# The following two routines were borrowed from :
#
# http://mini.net/cgi-bin/wikit/666.html
########################################################################
# Rgb2hsv --
#
# Convert a color value from the RGB model to HSV model.
#
# Arguments:
# r g b the red, green, and blue components of the color
# value. The procedure expects, but does not
# ascertain, them to be in the range 0 to 1.
#
# Results:
# The result is a list of three real number values. The
# first value is the Hue component, which is in the range
# 0.0 to 360.0, or -1 if the Saturation component is 0.
# The following to values are Saturation and Value,
# respectively. They are in the range 0.0 to 1.0.
#
# Credits:
# This routine is based on the Pascal source code for an
# RGB/HSV converter in the book "Computer Graphics", by
# Baker, Hearn, 1986, ISBN 0-13-165598-1, page 304.
#
proc ::Plotchart::Rgb2hsv {r g b} {
set h [set s [set v 0.0]]
set sorted [lsort -real [list $r $g $b]]
set v [expr {double([lindex $sorted end])}]
set m [lindex $sorted 0]
set dist [expr {double($v-$m)}]
if {$v} {
set s [expr {$dist/$v}]
}
if {$s} {
set r' [expr {($v-$r)/$dist}] ;# distance of color from red
set g' [expr {($v-$g)/$dist}] ;# distance of color from green
set b' [expr {($v-$b)/$dist}] ;# distance of color from blue
if {$v==$r} {
if {$m==$g} {
set h [expr {5+${b'}}]
} else {
set h [expr {1-${g'}}]
}
} elseif {$v==$g} {
if {$m==$b} {
set h [expr {1+${r'}}]
} else {
set h [expr {3-${b'}}]
}
} else {
if {$m==$r} {
set h [expr {3+${g'}}]
} else {
set h [expr {5-${r'}}]
}
}
set h [expr {$h*60}] ;# convert to degrees
} else {
# hue is undefined if s == 0
set h -1
}
return [list $h $s $v]
}
# Hsv2rgb --
#
# Convert a color value from the HSV model to RGB model.
#
# Arguments:
# h s v the hue, saturation, and value components of
# the color value. The procedure expects, but
# does not ascertain, h to be in the range 0.0 to
# 360.0 and s, v to be in the range 0.0 to 1.0.
#
# Results:
# The result is a list of three real number values,
# corresponding to the red, green, and blue components
# of a color value. They are in the range 0.0 to 1.0.
#
# Credits:
# This routine is based on the Pascal source code for an
# HSV/RGB converter in the book "Computer Graphics", by
# Baker, Hearn, 1986, ISBN 0-13-165598-1, page 304.
#
proc ::Plotchart::Hsv2rgb {h s v} {
set v [expr {double($v)}]
set r [set g [set b 0.0]]
if {$h == 360} { set h 0 }
# if you feed the output of rgb2hsv back into this
# converter, h could have the value -1 for
# grayscale colors. Set it to any value in the
# valid range.
if {$h == -1} { set h 0 }
set h [expr {$h/60}]
set i [expr {int(floor($h))}]
set f [expr {$h - $i}]
set p1 [expr {$v*(1-$s)}]
set p2 [expr {$v*(1-($s*$f))}]
set p3 [expr {$v*(1-($s*(1-$f)))}]
switch -- $i {
0 { set r $v ; set g $p3 ; set b $p1 }
1 { set r $p2 ; set g $v ; set b $p1 }
2 { set r $p1 ; set g $v ; set b $p3 }
3 { set r $p1 ; set g $p2 ; set b $v }
4 { set r $p3 ; set g $p1 ; set b $v }
5 { set r $v ; set g $p1 ; set b $p2 }
}
return [list $r $g $b]
}
# DrawIsolinesFunctionValues --
# Draw isolines in the given grid with given function values.
# Arguments:
# canv : Canvas to draw in
# xvec : List of points in the x axis
# yvec : List of points in the y axis
# fmat : Matrix of function values at the points defined by x and y.
# The matrix is given as a list of rows, where each row
# stores the function values with a fixed y and a varying x.
# cont List of contour classes (or empty to indicate
# automatic scaling
# Result:
# None
# Side effect:
# Isolines drawn
# Note:
# A cell is only drawn if there are four well-defined
# corners. If the x or y coordinate is missing or the value is
# missing, the cell is skipped.
# Author : Michael Baudin
#
proc ::Plotchart::DrawIsolinesFunctionValues {canv xvec yvec fmat {cont {}}} {
variable scaling
set nx [llength $xvec]
set ny [llength $xvec]
if {$nx!=$ny} then {
error "The number of values in xvec (nx=$nx) is different from the number of values in yvec (ny=$ny)"
}
#
# Check the given values of xvec and yvec against the scaling of the plot,
# which was given at the creation of the plot.
#
set index 0
foreach xval $xvec {
if {$xval > $scaling($canv,xmax) || $xval < $scaling($canv,xmin)} then {
error "The given x value $xval at index $index of xvec is not in the x-axis range \[$scaling($canv,xmin),$scaling($canv,xmax)\]"
}
incr index
}
set index 0
foreach yval $yvec {
if {$yval > $scaling($canv,ymax) || $yval < $scaling($canv,ymin)} then {
error "The given y value $yval at index $index of yvec is not in the y-axis range \[$scaling($canv,ymin),$scaling($canv,ymax)\]"
}
incr index
}
#
# Form the xmat and ymat matrices based on the given x and y.
#
set xmat {}
for {set iy 0} {$iy < $ny} {incr iy} {
set xi {}
for {set ix 0} {$ix < $nx} {incr ix} {
lappend xi [lindex $xvec $ix]
}
lappend xmat $xi
}
set ymat {}
for {set iy 0} {$iy < $ny} {incr iy} {
set yi {}
set yiy [lindex $yvec $iy]
for {set ix 0} {$ix < $nx} {incr ix} {
lappend yi $yiy
}
lappend ymat $yi
}
DrawIsolines $canv $xmat $ymat $fmat $cont
}
# DrawLegendIsolines --
#
# Draw isolines in the legend for this plot
#
# Arguments:
# w Canvas/plot to draw in
# values List of values as used for the plot itself
# contours Contour classes
#
# Result:
# None
#
# Side effect:
# Entries in the legend added
#
# Note:
# No support for an empty list of contour classes yet
#
proc ::Plotchart::DrawLegendIsolines {w values contours} {
variable data_series
variable colorMap
set contours [MakeContourClasses $values $contours 1]
set count 0
foreach class $contours colour $colorMap {
incr count
set data_series($w,isoline_$class,-colour) $colour
set data_series($w,isoline_$class,-type) "line"
DrawLegend $w "isoline_$class" "$class"
if { $count == [llength $contours] } {
break
}
}
}
# DrawLegendShades --
#
# Draw shades in the legend for this plot
#
# Arguments:
# w Canvas/plot to draw in
# values List of values as used for the plot itself
# contours Contour classes
#
# Result:
# None
#
# Side effect:
# Entries in the legend added
#
# Note:
# No support for an empty list of contour classes yet
#
proc ::Plotchart::DrawLegendShades {w values contours} {
variable data_series
variable colorMap
set contours [MakeContourClasses $values $contours 0]
set count 0
set dir "<"
foreach class $contours colour $colorMap {
incr count
if { $count == [llength $colorMap] } {
set dir ">"
set class [lindex $contours end]
}
set data_series($w,shade_${dir}_$class,-colour) $colour
set data_series($w,shade_${dir}_$class,-type) "rectangle"
DrawLegend $w "shade_${dir}_$class" "$dir $class"
}
}
#
# Define default colour maps
#
namespace eval ::Plotchart {
set contour_options(colourmap,rainbow) \
{darkblue blue cyan green yellow orange red magenta}
set contour_options(colourmap,white-blue) \
{white paleblue cyan blue darkblue}
set contour_options(colourmap,detailed) {
#00000000ffff
#000035e4ffff
#00006bc9ffff
#0000a1aeffff
#0000d793ffff
#0000fffff285
#0000ffffbca0
#0000ffff86bc
#0000ffff50d7
#0000ffff1af2
#1af2ffff0000
#50d7ffff0000
#86bcffff0000
#bca0ffff0000
#f285ffff0000
#ffffd7930000
#ffffa1ae0000
#ffff6bc90000
#ffff35e40000
#ffff00000000
#ffff00000000
}
set contour_options(colourmap) $contour_options(colourmap,detailed)
}
#
# Define the default colour map
#
::Plotchart::colorMap jet
# End of plotcontour.tcl
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