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cgconlevels.pro
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cgconlevels.pro
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; docformat = 'rst'
;
; NAME:
; cgConLevels
;
; PURPOSE:
; This program is designed to create "nicely formatted" contour levels for use in
; contour plots. The idea is to be able to produce evenly spaced contour intervals
; with the contour levels rounded off to the preferred degree of accuracy. The program
; will make a "guess" as to how to do this, but users can also take control of the
; process if the results are not pleasing enough.
;
;******************************************************************************************;
; ;
; Copyright (c) 2011, by Fanning Software Consulting, Inc. All rights reserved. ;
; ;
; Redistribution and use in source and binary forms, with or without ;
; modification, are permitted provided that the following conditions are met: ;
; ;
; * Redistributions of source code must retain the above copyright ;
; notice, this list of conditions and the following disclaimer. ;
; * Redistributions in binary form must reproduce the above copyright ;
; notice, this list of conditions and the following disclaimer in the ;
; documentation and/or other materials provided with the distribution. ;
; * Neither the name of Fanning Software Consulting, Inc. nor the names of its ;
; contributors may be used to endorse or promote products derived from this ;
; software without specific prior written permission. ;
; ;
; THIS SOFTWARE IS PROVIDED BY FANNING SOFTWARE CONSULTING, INC. ''AS IS'' AND ANY ;
; EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES ;
; OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT ;
; SHALL FANNING SOFTWARE CONSULTING, INC. BE LIABLE FOR ANY DIRECT, INDIRECT, ;
; INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED ;
; TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; ;
; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ;
; ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT ;
; (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ;
; SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ;
;******************************************************************************************;
;
;+
; This program is designed to create "nicely formatted" contour levels for use in
; contour plots. The idea is to be able to produce evenly spaced contour intervals
; with the contour levels rounded off to the preferred degree of accuracy. The program
; will make a "guess" as to how to do this, but users can also take control of the
; process if the results are not pleasing enough.
;
; There is no claim that this program always produces the best results. It is more
; of a tool that can produce decent result in many situations.
;
; The program requires the `Coyote Library <http://www.idlcoyote.com/documents/programs.php>`
; to be installed on your machine.
;
; :Categories:
; Graphics, Utilities
;
; :Returns:
; A vector of contour levels of the requested number. Each level is
; rounded to a predefined or specified degree of accuracy.
;
; :Params:
; data: in, required
; The data for which contour levels are desired.
;
; :Keywords:
; factor: in, optional, type=float
; The program makes a "guess" at how to best round the levels in the data
; presented to it. This guess is not always what the user wants. This keyword
; allows the user to "fine tune" the guess, so that it behaves better. See the
; examples for details on how this keyword can be used. There is some danger,
; when using the factor keyword that the results will be terrible. Don't dismay!
; Just try something else.
; maxvalue: in, optional
; Normally, the levels are calculated using the minimum and maximum values
; of the input data. The maximum value used in the calculation can be replaced
; with this value, if you wish. If both the `MinValue` and MaxValue keywords
; are used, you do not need to pass the data parameter.
; minmax: out, optional
; The actual minimum and maximum values used to calculate the levels.
; minvalue: in, optional
; Normally, the levels are calculated using the minimum and maximum values
; of the input data. The minimum value used in the calculation can be replaced
; with this value, if you wish.
; nlevels: in, optional, type=integer, default=10
; The number of contour levels desired.
; silent: in, optional, type=boolean, default=0
; Set this keyword if you want the program to remain "silent" in the face of
; errors. If this keyword is set, the user should rely on the `Success` keyword
; to determine whether the program completed its work.
; step: out, optional
; The step size actually used in the program to calculate the levels.
; success: out, optional, type=boolen
; Upon return, will contain a 1 if the program executed succesfully and
; a 0 otherwise.
;
; :Examples:
; Here is the normal way a contour plot might be created::
;
; cgDisplay, WID=0
; data = cgScaleVector(cgDemoData(2), 0.1, 4534.5)
; cgLoadCT, 33, NColors=10, Bottom=1
; cgContour, data, NLevels=10, /Fill, /Outline, $
; Position=[0.1, 0.1, 0.9, 0.75], C_Colors=Indgen(10)+1
; cgColorbar, NColors=9, Bottom=1, /Discrete, /Fit, $
; Range=[Min(data), Max(data)], OOB_High=10, OOB_Low='white'
;
; Here is how the same plot might be created with cgConLevels
; to produce contour levels at 500 step intervals::
;
; cgDisplay, WID=1
; data = cgScaleVector(cgDemoData(2), 0.1, 4534.5)
; cgLoadCT, 33, NColors=10, Bottom=1
; levels = cgConLevels(data, Factor=100, MINVALUE=0)
; cgContour, data, Levels=levels, /Fill, /Outline, $
; Position=[0.1, 0.1, 0.9, 0.75], C_Colors=Indgen(10)+1
; cgColorbar, NColors=9, Bottom=1, /Discrete, /Fit, $
; Range=[Min(levels), Max(levels)], OOB_High=10, OOB_Low='white'
;
; In this example, the data is scaled so that it is a bit more perverse.
; The levels have been chosen so they round in the third decimal place::
;
; cgDisplay, WID=2
; data = cgScaleVector(cgDemoData(2), 0.153, 0.986)
; cgLoadCT, 33, NColors=10, Bottom=1
; levels = cgConLevels(data)
; cgContour, data, Levels=levels, /Fill, /Outline, $
; Position=[0.1, 0.1, 0.9, 0.75], C_Colors=Indgen(10)+1
; cgColorbar, NColors=9, Bottom=1, /Discrete, /Fit, $
; Range=[Min(levels), Max(levels)], OOB_High=10, OOB_Low='white'
;
; It might be better to have the data rounded in the second data place, to
; the nearest 0.05 value. This can be done with the `Factor` keyword::
;
; cgDisplay, WID=3
; data = cgScaleVector(cgDemoData(2), 0.153, 0.986)
; cgLoadCT, 33, NColors=10, Bottom=1
; levels = cgConLevels(data, Factor=0.05)
; cgContour, data, Levels=levels, /Fill, /Outline, $
; Position=[0.1, 0.1, 0.9, 0.75], C_Colors=Indgen(10)+1
; cgColorbar, NColors=9, Bottom=1, /Discrete, /Fit, $
; Range=[Min(levels), Max(levels)], OOB_High=10, OOB_Low='white'
;
; :Author:
; FANNING SOFTWARE CONSULTING::
; David W. Fanning
; 1645 Sheely Drive
; Fort Collins, CO 80526 USA
; Phone: 970-221-0438
; E-mail: [email protected]
; Coyote's Guide to IDL Programming: http://www.idlcoyote.com
;
; :History:
; Change History::
; Written, 8 December 2011. David W. Fanning
;
; :Copyright:
; Copyright (c) 2011, Fanning Software Consulting, Inc.
;-
FUNCTION cgConLevels, data, $
FACTOR=factor, $
MAXVALUE=maxvalue, $
MINMAX=minmax, $
MINVALUE=minvalue, $
NLEVELS=nlevels, $
SILENT=silent, $
STEP=step, $
SUCCESS=success
Compile_Opt idl2
; Error handling
Catch, theError
IF theError NE 0 THEN BEGIN
Catch, /CANCEL
IF ~Keyword_Set(silent) THEN void = cgErrorMsg()
success = 0
RETURN, -1
ENDIF
; Assume success.
success = 1
; Data is required, unless both MINVALUE and MAXVALUE are used.
IF N_Elements(data) EQ 0 THEN BEGIN
IF ~( (N_Elements(maxvalue)NE 0) && (N_Elements(minvalue) NE 0) ) THEN $
Message, 'Data must be passed to calculate contour levels.'
ENDIF
; Set default number of levels to 10.
SetDefaultValue, nlevels, 10
; Find the step.
IF N_Elements(data) NE 0 THEN mindata = Min(data, /NAN, MAX=maxdata)
IF N_Elements(minvalue) NE 0 THEN mindata = minvalue
IF N_Elements(maxvalue) NE 0 THEN maxdata = maxvalue
step = (maxdata - mindata) / nlevels
; We are going to work with abolute values. Save the signs for the end.
minSign = (mindata LT 0) ? -1 : 1
maxSign = (maxdata LT 0) ? -1 : 1
minabs = Abs(mindata)
maxabs = Abs(maxdata)
; If you have a factor supplied by the user, then use it. Otherwise, try to figure
; out which factor you might use.
IF N_Elements(factor) EQ 0 THEN BEGIN
CASE 1 OF
step GE 10000: BEGIN
minabs = (minsign GT 0) ? Floor(minabs / 1000) * 1000. : Ceil(minabs / 1000) * 1000.
maxabs = (maxsign GT 0) ? Ceil(maxabs / 1000) * 1000. : Floor(maxabs / 1000) * 1000.
mindata = (minsign GT 0) ? minabs : minabs * (-1)
maxdata = (maxsign GT 0) ? maxabs : maxabs * (-1)
step = (maxdata - mindata) / nlevels
step = Round(step / 1000) * 1000
END
(step GE 1000) && (step LT 10000): BEGIN
minabs = (minsign GT 0) ? Floor(minabs / 100) * 100. : Ceil(minabs / 100) * 100.
maxabs = (maxsign GT 0) ? Ceil(maxabs / 100) * 100. : Floor(maxabs / 100) * 100.
mindata = (minsign GT 0) ? minabs : minabs * (-1)
maxdata = (maxsign GT 0) ? maxabs : maxabs * (-1)
step = (maxdata - mindata) / nlevels
step = Round(step / 100) * 100.
END
(step GE 100) && (step LT 1000): BEGIN
minabs = (minsign GT 0) ? Floor(minabs / 10) * 10. : Ceil(minabs / 10) * 10.
maxabs = (maxsign GT 0) ? Ceil(maxabs / 10) * 10. : Floor(maxabs / 10) * 10.
mindata = (minsign GT 0) ? minabs : minabs * (-1)
maxdata = (maxsign GT 0) ? maxabs : maxabs * (-1)
step = (maxdata - mindata) / nlevels
step = Round(step / 10) * 10.
END
(step GE 10) && (step LT 100): BEGIN
minabs = (minsign GT 0) ? Floor(minabs) : Ceil(minabs)
maxabs = (maxsign GT 0) ? Ceil(maxabs) : Floor(maxabs)
mindata = (minsign GT 0) ? minabs : minabs * (-1)
maxdata = (maxsign GT 0) ? maxabs : maxabs * (-1)
step = (maxdata - mindata) / nlevels
step = Float(Round(step))
END
(step GE 1) && (step LT 10): BEGIN
minabs = (minsign GT 0) ? Floor(minabs * 10) / 10. : Ceil(minabs * 10) / 10.
maxabs = (maxsign GT 0) ? Ceil(maxabs * 10) / 10. : Floor(maxabs * 10) / 10.
mindata = (minsign GT 0) ? minabs : minabs * (-1)
maxdata = (maxsign GT 0) ? maxabs : maxabs * (-1)
step = (maxdata - mindata) / nlevels
step = Round(step * 10) / 10.
END
(step GE 0.1) && (step LT 1): BEGIN
minabs = (minsign GT 0) ? Floor(minabs * 100) / 100. : Ceil(minabs * 100) / 100.
maxabs = (maxsign GT 0) ? Ceil(maxabs * 100) / 100. : Floor(maxabs * 100) / 100.
mindata = (minsign GT 0) ? minabs : minabs * (-1)
maxdata = (maxsign GT 0) ? maxabs : maxabs * (-1)
step = (maxdata - mindata) / nlevels
step = Round(step * 100) / 100.
END
(step GE 0.01) && (step LT 0.1): BEGIN
minabs = (minsign GT 0) ? Floor(minabs * 1000) / 1000. : Ceil(minabs * 1000) / 1000.
maxabs = (maxsign GT 0) ? Ceil(maxabs * 1000) / 1000. : Floor(maxabs * 1000) / 1000.
mindata = (minsign GT 0) ? minabs : minabs * (-1)
maxdata = (maxsign GT 0) ? maxabs : maxabs * (-1)
step = (maxdata - mindata) / nlevels
step = Round(step * 1000) / 1000.
END
(step GE 0.001) && (step LT 0.01): BEGIN
minabs = (minsign GT 0) ? Floor(minabs * 10000) / 10000. : Ceil(minabs * 10000) / 100000.
maxabs = (maxsign GT 0) ? Ceil(maxabs * 10000) / 10000. : Floor(maxabs * 10000) / 100000.
mindata = (minsign GT 0) ? minabs : minabs * (-1)
maxdata = (maxsign GT 0) ? maxabs : maxabs * (-1)
step = (maxdata - mindata) / nlevels
step = Round(step * 10000) / 10000.
END
ELSE:
ENDCASE
ENDIF ELSE BEGIN
minabs = (minsign GT 0) ? Floor(minabs / factor) * Float(factor) : Ceil(minabs / factor) * Float(factor)
maxabs = (maxsign GT 0) ? Ceil(maxabs / factor) * Float(factor) : Floor(maxabs / factor) * Float(factor)
mindata = (minsign GT 0) ? minabs : minabs * (-1)
maxdata = (maxsign GT 0) ? maxabs : maxabs * (-1)
step = (maxdata - mindata) / nlevels
step = Round(step / factor) * Float(factor)
ENDELSE
; Calculate the levels so they can be returned.
levels = Indgen(nlevels) * step + mindata
; Set up the output variable, minmax, with the actual min and max values used for the levels.
minmax = [mindata, maxdata]
RETURN, levels
END