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#
# Sample plots using date / time formatting for axes
#
# Copyright (C) 2007,2008 Andrew Ross
#
# This file is part of PLplot.
#
# PLplot is free software; you can redistribute it and/or modify
# it under the terms of the GNU Library General Public License as published
# by the Free Software Foundation; either version 2 of the License, or
# (at your option) any later version.
#
# PLplot is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU Library General Public License for more details.
#
# You should have received a copy of the GNU Library General Public License
# along with PLplot; if not, write to the Free Software
# Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
#
#
# Draws several plots which demonstrate the use of date / time formats for
# the axis labels.
# Time formatting is done using the system strftime routine. See the
# documentation of this for full details of the available formats.
#
# 1) Plotting temperature over a day (using hours / minutes)
# 2) Plotting
#
# Note: Times are stored as seconds since the epoch (usually 1st Jan 1970).
#
proc x29 {{w loopback}} {
$w cmd plsesc "@"
x29_plot1 $w
x29_plot2 $w
x29_plot3 $w
x29_plot4 $w
# Restore escape character back to default so we don't affect
# later plots made after this one.
$w cmd plsesc "#"
}
# Plot a model diurnal cycle of temperature
proc x29_plot1 {{w loopback}} {
# Data points every 10 minutes for 1 day
set npts 73
matrix x f $npts
matrix y f $npts
matrix xerr1 f $npts
matrix xerr2 f $npts
matrix yerr1 f $npts
matrix yerr2 f $npts
set xmin 0
# Number of seconds in a day
set xmax [expr {60.0*60.0*24.0}]
set ymin 10.0
set ymax 20.0
for {set i 0} {$i<$npts} {incr i} {
set xx [expr {$xmax*double($i)/double($npts)}]
set yy [expr {15.0 - 5.0*cos( 2*$::PLPLOT::PL_PI*double($i)/double($npts))}]
x $i = $xx
y $i = $yy
xerr1 $i = [expr {$xx - 60.0*5.0}]
xerr2 $i = [expr {$xx + 60.0*5.0}]
yerr1 $i = [expr {$yy - 0.1}]
yerr2 $i = [expr {$yy + 0.1}]
}
$w cmd pladv 0
$w cmd plsmaj 0.0 0.5
$w cmd plsmin 0.0 0.5
$w cmd plvsta
$w cmd plwind $xmin $xmax $ymin $ymax
# Draw a box with ticks spaced every 3 hour in X and 1 degree C in Y.
$w cmd plcol0 1
# Set time format to be hours:minutes
$w cmd pltimefmt "%H:%M"
$w cmd plbox "bcnstd" [expr {3.0*60*60}] 3 "bcnstv" 1 5
$w cmd plcol0 3
$w cmd pllab "Time (hours:mins)" "Temperature (degC)" \
"@frPLplot Example 29 - Daily temperature"
$w cmd plcol0 4
$w cmd plline $npts x y
$w cmd plcol0 2
$w cmd plerrx $npts xerr1 xerr2 y
$w cmd plcol0 3
$w cmd plerry $npts x yerr1 yerr2
$w cmd plsmaj 0.0 1.0
$w cmd plsmin 0.0 1.0
}
# Plot the number of hours of daylight as a function of day for a year
proc x29_plot2 {{w loopback}} {
set pi $::PLPLOT::PL_PI
# Latitude for London
set lat 51.5
set npts 365
matrix x f $npts
matrix y f $npts
set xmin 0
set xmax [expr {$npts*60.0*60.0*24.0}]
set ymin 0
set ymax 24
# Formula for hours of daylight from
# "A Model Comparison for Daylength as a Function of Latitude and
# Day of the Year", 1995, Ecological Modelling, 80, pp 87-95.
for {set j 0} {$j < $npts} {incr j} {
x $j = [expr {$j*60.0*60.0*24.0}]
set p [expr {asin(0.39795*cos(0.2163108 + 2*atan(0.9671396*tan(0.00860*($j-186))))) }]
set d [expr {24.0 - (24.0/$pi)* \
acos( (sin(0.8333*$pi/180.0) + \
sin($lat*$pi/180.0)*sin($p)) / \
(cos($lat*$pi/180.0)*cos($p)) )}]
y $j = $d
}
$w cmd plcol0 1
# Set time format to be abbreviated month name followed by day of month
$w cmd pltimefmt "%b %d"
$w cmd plprec 1 1
$w cmd plenv $xmin $xmax $ymin $ymax 0 40
$w cmd plcol0 3
$w cmd pllab "Date" "Hours of daylight" \
"@frPLplot Example 29 - Hours of daylight at 51.5N"
$w cmd plcol0 4
$w cmd plline $npts x y
$w cmd plprec 0 0
}
proc x29_plot3 {{w loopback}} {
# Calculate seconds since the Unix epoch for 2005-12-01 UTC.
# On newer versions of tcl should use the -format "%Y-%m-%d"
# option rather than free-form scanning, but this doesn't
# seem to work on tcl8.4
# Also -timezone :UTC should be used instead of -gmt
set tstart [clock scan "2005-12-01" \
-gmt true ]
set npts 62
matrix x f $npts
matrix y f $npts
set xmin $tstart
set xmax [expr {$xmin + $npts*60.0*60.0*24.0}]
set ymin 0.0
set ymax 5.0
for {set i 0} {$i<$npts} {incr i} {
x $i = [expr {$xmin + $i*60.0*60.0*24.0}]
set imin [expr {$i < $npts-$i ? $i : $npts-$i}]
y $i = [expr {1.0 + sin( 2*$::PLPLOT::PL_PI*double($i)/7.0 ) + \
exp( double($imin) / 31.0) }]
}
$w cmd pladv 0
$w cmd plvsta
$w cmd plwind $xmin $xmax $ymin $ymax
$w cmd plcol0 1
# Set time format to be ISO 8601 standard YYYY-MM-DD. Note that this is
# equivalent to %f for C99 compliant implementations of strftime.
$w cmd pltimefmt "%Y-%m-%d"
# Draw a box with ticks spaced every 14 days in X and 1 hour in Y.
$w cmd plbox "bcnstd" [expr {14*24.0*60.0*60.0}] 14 "bcnstv" 1 4
$w cmd plcol0 3
$w cmd pllab "Date" "Hours of television watched" \
"@frPLplot Example 29 - Hours of television watched in Dec 2005 / Jan 2006"
$w cmd plcol0 4
$w cmd plssym 0.0 0.5
$w cmd plpoin $npts x y 2
$w cmd plline $npts x y
}
proc x29_plot4 {{w loopback}} {
# TAI-UTC (seconds) as a function of time.
# Use Besselian epochs as the continuous time interval just to prove
# this does not introduce any issues.
# Use the definition given in http://en.wikipedia.org/wiki/Besselian_epoch
# B = 1900. + (JD -2415020.31352)/365.242198781
# ==> (as calculated with aid of "bc -l" command)
# B = (MJD + 678940.364163900)/365.242198781
# ==>
# MJD = B*365.24219878 - 678940.364163900
set ::tcl_precision 17
set scale 365.242198781
set offset1 -678940.0
set offset2 -0.3641639
matrix x f 1001
matrix y f 1001
$w cmd plconfigtime $scale $offset1 $offset2 0 0 0 0 0 0 0 0.
for {set kind 0} {$kind < 7} {incr kind} {
if {$kind == 0} {
$w cmd plctime 1950 0 2 0 0 0. xmin
$w cmd plctime 2020 0 2 0 0 0. xmax
set npts [expr {70*12 + 1}]
set ymin 0.0
set ymax 36.0
set time_format "%Y%"
set if_TAI_time_format 1
set title_suffix "from 1950 to 2020"
set xtitle "Year"
set xlabel_step 10.
} elseif {$kind == 1 || $kind == 2} {
$w cmd plctime 1961 7 1 0 0 [expr {1.64757-0.20}] xmin
$w cmd plctime 1961 7 1 0 0 [expr {1.64757+0.20}] xmax
set npts 1001
set ymin 1.625
set ymax 1.725
set time_format "%S%2%"
set title_suffix "near 1961-08-01 (TAI)"
set xlabel_step [expr {0.05/($scale*86400.)}]
if {$kind == 1} {
set if_TAI_time_format 1
set xtitle "Seconds (TAI)"
} else {
set if_TAI_time_format 0
set xtitle "Seconds (TAI) labelled with corresponding UTC"
}
} elseif {$kind == 3 || $kind == 4} {
$w cmd plctime 1963 10 1 0 0 [expr {2.6972788-.20}] xmin
$w cmd plctime 1963 10 1 0 0 [expr {2.6972788+.20}] xmax
set npts 1001
set ymin 2.55
set ymax 2.75
set time_format "%S%2%"
set title_suffix "near 1963-11-01 (TAI)"
set xlabel_step [expr {0.05/($scale*86400.)}]
if {$kind == 3} {
set if_TAI_time_format 1
set xtitle "Seconds (TAI)"
} else {
set if_TAI_time_format 0
set xtitle "Seconds (TAI) labelled with corresponding UTC"
}
} elseif {$kind == 5 || $kind == 6} {
$w cmd plctime 2009 0 1 0 0 [expr {34.-5.}] xmin
$w cmd plctime 2009 0 1 0 0 [expr {34.+5.}] xmax
set npts 1001
set ymin 32.5
set ymax 34.5
set time_format "%S%2%"
set title_suffix "near 2009-01-01 (TAI)"
set xlabel_step [expr {1./($scale*86400.)}]
if {$kind == 5} {
set if_TAI_time_format 1
set xtitle "Seconds (TAI)"
} else {
set if_TAI_time_format 0
set xtitle "Seconds (TAI) labelled with corresponding UTC"
}
}
for {set i 0} {$i<$npts} {incr i} {
set tai [expr {$xmin + $i*($xmax-$xmin)/double($npts-1)}]
x $i = $tai
$w cmd plconfigtime $scale $offset1 $offset2 0 0 0 0 0 0 0 0.
$w cmd plbtime tai_year tai_month tai_day tai_hour tai_min tai_sec $tai
$w cmd plconfigtime $scale $offset1 $offset2 2 0 0 0 0 0 0 0.
$w cmd plbtime utc_year utc_month utc_day utc_hour utc_min utc_sec $tai
$w cmd plconfigtime $scale $offset1 $offset2 0 0 0 0 0 0 0 0.
$w cmd plctime $utc_year $utc_month $utc_day $utc_hour $utc_min $utc_sec utc
set yy [expr {($tai-$utc)*$scale*86400.}]
y $i = $yy
}
$w cmd pladv 0
$w cmd plvsta
$w cmd plwind $xmin $xmax $ymin $ymax
$w cmd plcol0 1
if {$if_TAI_time_format == 1} {
$w cmd plconfigtime $scale $offset1 $offset2 0 0 0 0 0 0 0 0.
} else {
$w cmd plconfigtime $scale $offset1 $offset2 2 0 0 0 0 0 0 0.
}
$w cmd pltimefmt $time_format
$w cmd plbox "bcnstd" $xlabel_step 0 "bcnstv" 0. 0
$w cmd plcol0 3
set title "@frPLplot Example 29 - TAI-UTC "
append title $title_suffix
$w cmd pllab $xtitle "TAI-UTC (sec)" $title
$w cmd plcol0 4
$w cmd plline $npts x y
}
}
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