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328 lines
8.5 KiB
Lua
328 lines
8.5 KiB
Lua
--[[ $Id: x29.lua 10299 2009-08-19 17:54:27Z smekal $
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Sample plots using date / time formatting for axes
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Copyright (C) 2009 Werner Smekal
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This file is part of PLplot.
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PLplot is free software you can redistribute it and/or modify
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it under the terms of the GNU General Library Public License as published
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by the Free Software Foundation either version 2 of the License, or
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(at your option) any later version.
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PLplot is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU Library General Public License for more details.
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You should have received a copy of the GNU Library General Public License
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along with PLplot if not, write to the Free Software
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Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
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--]]
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-- initialise Lua bindings for PLplot examples.
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dofile("plplot_examples.lua")
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-- Plot a model diurnal cycle of temperature
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function plot1()
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x = {}
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y = {}
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xerr1 = {}
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xerr2 = {}
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yerr1 = {}
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yerr2 = {}
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-- Data points every 10 minutes for 1 day
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npts = 73
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xmin = 0
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xmax = 60*60*24 -- Number of seconds in a day
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ymin = 10
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ymax = 20
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for i = 1, npts do
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x[i] = xmax*((i-1)/npts)
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y[i] = 15 - 5*math.cos(2*math.pi*((i-1)/npts))
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-- Set x error bars to +/- 5 minute
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xerr1[i] = x[i]-60*5
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xerr2[i] = x[i]+60*5
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-- Set y error bars to +/- 0.1 deg C
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yerr1[i] = y[i]-0.1
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yerr2[i] = y[i]+0.1
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end
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pl.adv(0)
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-- Rescale major ticks marks by 0.5
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pl.smaj(0, 0.5)
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-- Rescale minor ticks and error bar marks by 0.5
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pl.smin(0, 0.5)
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pl.vsta()
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pl.wind(xmin, xmax, ymin, ymax)
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-- Draw a box with ticks spaced every 3 hour in X and 1 degree C in Y.
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pl.col0(1)
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-- Set time format to be hours:minutes
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pl.timefmt("%H:%M")
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pl.box("bcnstd", 3*60*60, 3, "bcnstv", 1, 5)
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pl.col0(3)
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pl.lab("Time (hours:mins)", "Temperature (degC)", "@frPLplot Example 29 - Daily temperature")
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pl.col0(4)
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pl.line(x, y)
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pl.col0(2)
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pl.errx(xerr1, xerr2, y)
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pl.col0(3)
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pl.erry(x, yerr1, yerr2)
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-- Rescale major / minor tick marks back to default
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pl.smin(0, 1)
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pl.smaj(0, 1)
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end
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-- Plot the number of hours of daylight as a function of day for a year
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function plot2()
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x = {}
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y = {}
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-- Latitude for London
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lat = 51.5
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npts = 365
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xmin = 0
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xmax = npts*60*60*24
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ymin = 0
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ymax = 24
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-- Formula for hours of daylight from
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-- "A Model Comparison for Daylength as a Function of Latitude and
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-- Day of the Year", 1995, Ecological Modelling, 80, pp 87-95.
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for j = 1, npts do
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x[j] = (j-1)*60*60*24
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p = math.asin(0.39795*math.cos(0.2163108 + 2*math.atan(0.9671396*math.tan(0.00860*(j-1-186)))))
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d = 24 - (24/math.pi)*
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math.acos( (math.sin(0.8333*math.pi/180) + math.sin(lat*math.pi/180)*math.sin(p)) /
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(math.cos(lat*math.pi/180)*math.cos(p)) )
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y[j] = d
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end
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pl.col0(1)
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-- Set time format to be abbreviated month name followed by day of month
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pl.timefmt("%b %d")
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pl.prec(1, 1)
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pl.env(xmin, xmax, ymin, ymax, 0, 40)
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pl.col0(3)
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pl.lab("Date", "Hours of daylight", "@frPLplot Example 29 - Hours of daylight at 51.5N")
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pl.col0(4)
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pl.line(x, y)
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pl.prec(0, 0)
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end
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function plot3()
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x = {}
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y = {}
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tstart = 1133395200
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npts = 62
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xmin = tstart
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xmax = xmin + npts*60*60*24
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ymin = 0
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ymax = 5
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for i = 1, npts do
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x[i] = xmin + (i-1)*60*60*24
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y[i] = 1 + math.sin(2*math.pi*(i-1)/7) + math.exp(math.min(i-1,npts-i+1)/31)
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end
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pl.adv(0)
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pl.vsta()
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pl.wind(xmin, xmax, ymin, ymax)
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pl.col0(1)
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-- Set time format to be ISO 8601 standard YYYY-MM-DD. Note that this is
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--equivalent to %f for C99 compliant implementations of strftime.
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pl.timefmt("%Y-%m-%d")
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-- Draw a box with ticks spaced every 14 days in X and 1 hour in Y.
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pl.box("bcnstd", 14*24*60*60,14, "bcnstv", 1, 4)
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pl.col0(3)
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pl.lab("Date", "Hours of television watched", "@frPLplot Example 29 - Hours of television watched in Dec 2005 / Jan 2006")
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pl.col0(4)
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-- Rescale symbol size (used by plpoin) by 0.5
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pl.ssym(0, 0.5)
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pl.poin(x, y, 2)
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pl.line(x, y)
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end
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function plot4()
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-- TAI-UTC (seconds) as a function of time.
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-- Use Besselian epochs as the continuous time interval just to prove
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-- this does not introduce any issues.
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x = {}
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y = {}
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-- Use the definition given in http://en.wikipedia.org/wiki/Besselian_epoch
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-- B = 1900. + (JD -2415020.31352)/365.242198781
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-- ==> (as calculated with aid of "bc -l" command)
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-- B = (MJD + 678940.364163900)/365.242198781
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-- ==>
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-- MJD = B*365.24219878 - 678940.364163900
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scale = 365.242198781
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offset1 = -678940
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offset2 = -0.3641639
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pl.configtime(scale, offset1, offset2, 0, 0, 0, 0, 0, 0, 0, 0.)
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for kind = 0, 6 do
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if kind == 0 then
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xmin = pl.ctime(1950, 0, 2, 0, 0, 0)
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xmax = pl.ctime(2020, 0, 2, 0, 0, 0)
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npts = 70*12 + 1
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ymin = 0
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ymax = 36
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time_format = "%Y%"
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if_TAI_time_format = 1
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title_suffix = "from 1950 to 2020"
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xtitle = "Year"
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xlabel_step = 10
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end
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if kind==1 or kind==2 then
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xmin = pl.ctime(1961, 7, 1, 0, 0, 1.64757-0.20)
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xmax = pl.ctime(1961, 7, 1, 0, 0, 1.64757+0.20)
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npts = 1001
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ymin = 1.625
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ymax = 1.725
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time_format = "%S%2%"
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title_suffix = "near 1961-08-01 (TAI)"
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xlabel_step = 0.05/(scale*86400)
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if kind==1 then
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if_TAI_time_format = 1
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xtitle = "Seconds (TAI)"
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else
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if_TAI_time_format = 0
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xtitle = "Seconds (TAI) labelled with corresponding UTC"
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end
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end
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if kind==3 or kind==4 then
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xmin = pl.ctime(1963, 10, 1, 0, 0, 2.6972788-0.20)
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xmax = pl.ctime(1963, 10, 1, 0, 0, 2.6972788+0.20)
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npts = 1001
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ymin = 2.55
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ymax = 2.75
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time_format = "%S%2%"
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title_suffix = "near 1963-11-01 (TAI)"
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xlabel_step = 0.05/(scale*86400)
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if kind==3 then
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if_TAI_time_format = 1
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xtitle = "Seconds (TAI)"
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else
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if_TAI_time_format = 0
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xtitle = "Seconds (TAI) labelled with corresponding UTC"
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end
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end
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if kind==5 or kind==6 then
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xmin = pl.ctime(2009, 0, 1, 0, 0, 34-5)
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xmax = pl.ctime(2009, 0, 1, 0, 0, 34+5)
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npts = 1001
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ymin = 32.5
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ymax = 34.5
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time_format = "%S%2%"
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title_suffix = "near 2009-01-01 (TAI)"
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xlabel_step = 1/(scale*86400)
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if kind==5 then
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if_TAI_time_format = 1
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xtitle = "Seconds (TAI)"
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else
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if_TAI_time_format = 0
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xtitle = "Seconds (TAI) labelled with corresponding UTC"
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end
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end
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for i = 1, npts do
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x[i] = xmin + (i-1)*(xmax-xmin)/(npts-1)
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pl.configtime(scale, offset1, offset2, 0, 0, 0, 0, 0, 0, 0, 0)
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tai = x[i]
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tai_year, tai_month, tai_day, tai_hour, tai_min, tai_sec = pl.btime(tai)
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pl.configtime(scale, offset1, offset2, 2, 0, 0, 0, 0, 0, 0, 0)
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utc_year, utc_month, utc_day, utc_hour, utc_min, utc_sec = pl.btime(tai)
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pl.configtime(scale, offset1, offset2, 0, 0, 0, 0, 0, 0, 0, 0.)
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utc = pl.ctime(utc_year, utc_month, utc_day, utc_hour, utc_min, utc_sec)
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y[i]=(tai-utc)*scale*86400.
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end
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pl.adv(0)
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pl.vsta()
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pl.wind(xmin, xmax, ymin, ymax)
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pl.col0(1)
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if if_TAI_time_format ~= 0 then
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pl.configtime(scale, offset1, offset2, 0, 0, 0, 0, 0, 0, 0, 0)
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else
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pl.configtime(scale, offset1, offset2, 2, 0, 0, 0, 0, 0, 0, 0)
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end
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pl.timefmt(time_format)
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pl.box("bcnstd", xlabel_step, 0, "bcnstv", 0., 0)
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pl.col0(3)
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title = "@frPLplot Example 29 - TAI-UTC " .. title_suffix
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pl.lab(xtitle, "TAI-UTC (sec)", title)
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pl.col0(4)
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pl.line(x, y)
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end
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end
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----------------------------------------------------------------------------
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-- main
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--
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-- Draws several plots which demonstrate the use of date / time formats for
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-- the axis labels.
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-- Time formatting is done using the system strftime routine. See the
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-- documentation of this for full details of the available formats.
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--
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-- 1) Plotting temperature over a day (using hours / minutes)
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-- 2) Plotting
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--
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-- Note: Times are stored as seconds since the epoch (usually 1st Jan 1970).
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--
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----------------------------------------------------------------------------
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-- Parse command line arguments
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pl.parseopts(arg, pl.PL_PARSE_FULL)
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-- Initialize plplot
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pl.init()
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-- Change the escape character to a '@' instead of the default '#'
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pl.sesc('@')
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plot1()
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plot2()
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plot3()
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plot4()
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-- Don't forget to call plend() to finish off!
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pl.plend()
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