TweetFollow Us on Twitter

Plotting
Volume Number:9
Issue Number:6
Column Tag:Jörg's Folder

Plotting Packages for Fortran

Inspecting TSI Graphics and SuperPlot

By Jörg Langowski, MacTech Magazine Regular Contributing Author

Note: Source code files accompanying article are located on MacTech CD-ROM or source code disks.

Sorry to say for you C++ and Forth lovers, my desk recently gets swamped with goodies from both main players in the Macintosh Fortran game. Absoft has just sent a big parcel with version 3.2 of MacFortran II. Now, the deadline is again approaching in giant leaps, and I have no time to review it for this column; but I promise you a detailed overview in the next one. Here I’ll only mention that Absoft Fortran’s Macintosh run time environment - one of the main shortcomings of previous versions - has finally been improved. Apple Events are supported, as is publish/subscribe, you can use multiple windows, change fonts, change menus, etc. Just from looking at the manual it seems that they offer as many possibilities as LS Fortran, if not more. First tests with the Linpack benchmark indicate that the speed it still about the same (on my old MacII), which means the usual 20-30% faster than LS Fortran (I guess the compiler that makes my MacII turn as fast as a Cray still has to be invented). So stay tuned for a review.

TSI Graphics

Unless you are content with interfacing your Fortran output to a spreadsheet (you saw in the last column how that goes), you might have struggled with writing your own code for graphing the results of a Fortran program. If you have done that, you know how much time you can waste reinventing the wheel. Because there are good plotting libraries around, and one of them is TSI Graphics (Techno-Sciences Inc., 10001 Derekwood Lane, Suite 204, Lanham, MD 20706; phone (301) 577-6000). Language Systems is promoting this package, which works with their Fortran and contains some very powerful tools.

TSI Graphics does several things that are quite tedious to implement if you do it on your own. First of all, it creates one or several - automatically updated - graphics windows. Each window can contain several plot regions in which to display your data. The beautiful thing is that plots created using the TSI plotting routines are automatically adjusted to fit into the active plot area, so you don’t have to worry about setting the length of an axis, the rectangle of a frame, etc. If you have written code that plots correctly in a certain region, the plot will still have the same aspect when you resize the plot area.

The types of plots that are possible are line, bar, pie, X-Y, contour, and 3D mesh surface plots. You can add error bars to plots, create cumulative plots from groups of data, of course use linear or logarithmic scales, set the ranges of the plot axes automatically, label the plot with text in the font, size and style you want, print the plot or save it to a file, and plot in any color (using your own color tables). In fact, you have most of the functions available that a good data graphing program will give you, including the possibility to offset slices of a pie chart to emphasize them. I found one important feature missing - you cannot draw dashed or dotted lines, or change the line thickness. For the rest of us who does not have color printers available, this would be a very important addition - the only way you can distinguish line plots on a black-and-white printer so far is by adding symbols to data points. Adding different line styles to version 2.0 is strongly suggested.

Let us now see how TSI graphics does its work. For the example program, I have chosen the contour plot and the 3D mesh plot, both things you wouldn’t wish you had to write your own code for. We create a 2-dimensional data array and display it both ways in one window, using two different plot areas. The function we plot is

z = 10.0 * exp (-r/5.) * sin(r/2.) *  cos(2.*atan2(x,y))

where r is the distance from the origin x=0, y=0. The output of the program (see listing) is shown in Figure 1.

Fig. 1: Output of the plot program

How is TSI Graphics used? The example shows that you first call a setup routine, InitGraphicsPackage(), set the size of the output window, and then, after creating the data, call the actual plotting routine DrawInNewWindow. This last routine takes one parameter, a pointer to a subroutine that does the drawing. All this happens in the main Fortran program; as you know if you are familiar with the LS Fortran environment, the main program is often used only for setup purposes. After the main program has exited, the run time environment lets you call subroutines to do the actual work by connecting them to menu items. TSI Graphics works closely connected to this LS Fortran run time environment and hooks itself into the main event loop (at least I think so, I haven’t analyzed the code), so that update events to the graphics window are intercepted and the drawing subroutine is called, even after the main program has exited.

This gives you the advantage that you can easily write very modular code. You define your graphics window(s) with the associated drawing routines and your menus with the routines that do the calculation in the main program, and then exit to the run time environment. Then you can initiate your calculations from the menus, change the data that is to be plotted, and have the graphics window automatically update itself (assuming you have written the plotting subroutine so that it takes into account the changed data correctly). Even if you resize the graphics window, all plot areas will be recalculated to fit into the new window.

Look at the example again: all drawing is done through the routine CreatePlot, which receives its parameters through a common block (you can’t pass subroutines with parameters as arguments to other subroutines in Fortran). The first part of the drawing routine creates the 3D mesh plot. Two plotting areas are defined in the window: the two calls to SetPercentPlotRegion define the left and right halves of the window as plotting areas 1 and 2. The coordinates of the areas are given in percent of the total window height and width. We then set the plotting area to 1 (the left half), and inset the plot by 10% from each side of the area (the call to SetPlotRatio). The rectangle to be displayed in the mesh plot goes from -10 to +10 in both x and y directions (the call to Set3DViewingRect), and we look at this rectangle from a certain point in space (the call to Set3DEyePosition). After these setup calls, we are ready to call MeshPlot, which gives us the complicated plot that you see in the left half of the figure, and label it with some text.

The contour plot is then created by the second half of the program. We set the new plotting area, define the x and y scaling (both from -15 to 15), and draw axes on all four sides of the plot. Then we call ContourPlot and are done! You see the result in the right half of the figure. Quite impressive, and I challenge you to write such a routine yourself, you’ll spend a lot of time on it.

SuperPlot

Another philosophy for displaying data is followed by a plotting package that is compatible with both Language Systems and Absoft Fortran: SuperPlot. It is available through SuperSoft, 498 E Robin Rd., Orem, UT 84057, (801) 225-4356. SuperPlot is at an intermediate position between choosing a separate graphing program like Excel for displaying the Fortran data, and an integrated plotting library like TSI Graphics. When you link the SuperPlot routines into your Fortran application, the program behaves as if you had a complete 2D plotting application embedded within your program. When you invoke SuperPlot it replaces the application’s menu bar with one of its own and, once the plot has been drawn, it allows you to edit, save or print the graph, change the axis scaling, line size and styles, add arrows or text, etc. You have to select “Quit to application” from SuperPlot’s menu bar to return control to the FORTRAN program. Multiple calls to SuperPlot can be made from a single program and up to 10 sets of data may be overlaid on the same graph.

In my opinion, SuperPlot is not so much for writing Fortran programs for general distribution (except if you write a general-purpose graphing program, in which case SuperPlot has already done most of the job), but for the research/engineering type user who has to display data from a program and wants to do so without having to save the data first, open a graphics program, read the data in, create the graph etc. If you write a program in which a graphics window is an integral part of the application and the graphics output needs to be updated without user intervention, you need TSI Graphics. Also, the contour and 3D mesh plot options are very powerful and not available in SuperPlot. On the other hand, for creating nicely-looking black and white graphs, SuperPlot is much superior (of course it can do color, too), allowing you to do dashed lines of varying thickness and easily change the plot style without having to recompile the Fortran program.

Next month - a review of Absoft Fortran (as promised), and more.

Example: Window with double plot area, containing a contour and a 3D mesh 
plot

      Program JLDemo
      External CreatePlot
      INTEGER maxContourX, maxContourY
      REAL XYZdata(31,31)
      integer contourColors(128)
      Common /theData/ XYZdata, contourcolors 

!Initialize TSI Graphics
      Call InitGraphicsPackage()

!Create data and load into XYZdata array
      CALL createData(XYZdata)

!Change Output window 
   Call SetOutputGraphWindowSize (20,20,600,300)
   
!Create a graphics window and hook up our subroutine
      Call DrawInNewWindow(CreatePlot)

!Move the FORTRAN text window off-screen
      Call MoveOutWindow(10,800,200,900)

!Exit and let the FORTRAN menus take over
      End
   
   
      Subroutine CreatePlot
   include 'tsiconstants.fi'
      INTEGER i
      REAL XYZdata(31,31)
      integer contourColors(128)
      Common /theData/ XYZdata, contourcolors 

!Set the contour colors
      DO i = 1, 128
        contourColors(i) = mod(i, 7)
      END DO


!Define two plot windows for the contour plot 
!and the 3D plot
      CALL SetPercentPlotRegion(1, 0.02,0.05, 0.48,0.95)
      CALL SetPercentPlotRegion(2, 0.52,0.05, 0.97,0.95)

!3D mesh plot
      CALL ChangePlotRegion(1)
      CALL SetPlotRatio(1, 0.1, 0.1, 0.1, 0.1)

!Set the size of the viewing rectangle
      Call Set3DViewingRect(-10.0,-10.0,10.0,10.0)

!Set the view point location
      Call Set3DEyePosition(15.0, 7.5, -10.0)

!Create the plot using a blue outline and yellow fill
      Call SetColor(blue)
      Call MeshPlot(XYZdata, 31, 31, -15., -15., 
 1.0, 1.0, yellow)

!  Switch to black and label the mesh using 
!18pt Palatino Bold-Italic
      Call SetColor(black)
      Call SetTextStyle('Palatino', 1+2, 0, 12)
      Call LabelGraph(500.0, 900.0, 
 'exp(r/5)sin(r/2)cos(2*phi)', 1, 0)

!Select region for the contour plot
      CALL ChangePlotRegion(2)
      CALL SetPlotRatio(2, 0.1, 0.1, 0.1, 0.1)

!Set plotting range scale 
      CALL SetXYPlottingRange( -15.0, -15.0, 15.0, 15.0)

!Change to black and draw axes
      CALL SetColor(black)

!Manually draw and label the lower pair of axes
      CALL SetXYIntercepts(-15.0,-15.0)
      CALL DrawYAxis(0.5,1)
      CALL LabelYAxis(10, 1)
      CALL DrawXAxis(0.5,1)
      CALL LabelXAxis(10,1)

!Manually draw and label the upper pair of axes
      CALL SetXYIntercepts(15.0,15.0)
      CALL DrawYAxis(0.5,0)
      CALL LabelYAxis(10,0)
      CALL DrawXAxis(0.5,0)
      CALL LabelXAxis(10,0)

!Border the plot area
      CALL BorderPlotRegion(black)
   
!Plot the data
      CALL ContourPlot(XYZdata,31,31,-15.0,-15.0, 
 1.0,1.0, 1.0,contourColors)

      Return
      END


      SUBROUTINE CreateData(XYZdata)
      INTEGER i,j
      REAL x,y,z,r
      REAL XYZdata(31,31)

!The subroutine for creating the data
      DO i = 1, 31
         x = REAL(i-16)
         DO j = 1, 31
             y = REAL(j-16)
  r = sqrt(x*x+y*y)
             z = 10.0 * exp (-r/5.) * sin(r/2.) *  
 cos(2.*atan2(x,y)) 
             XYZdata(i,j) = z
         END DO
      END DO
      END

 
AAPL
$102.13
Apple Inc.
+1.24
MSFT
$44.87
Microsoft Corpora
-0.14
GOOG
$571.00
Google Inc.
-6.86

MacTech Search:
Community Search:

Software Updates via MacUpdate

Get Lyrical 3.8 - Auto-magically adds ly...
Get Lyrical auto-magically add lyrics to songs in iTunes. You can choose either a selection of tracks, or the current track. Or turn on "Active Tagging" to get lyrics for songs as you play them.... Read more
Viber 4.2.2 - Send messages and make cal...
Viber lets you send free messages and make free calls to other Viber users, on any device and network, in any country! Viber syncs your contacts, messages and call history with your mobile device,... Read more
Cocktail 7.6 - General maintenance and o...
Cocktail is a general purpose utility for OS X that lets you clean, repair and optimize your Mac. It is a powerful digital toolset that helps hundreds of thousands of Mac users around the world get... Read more
LaunchBar 6.1 - Powerful file/URL/email...
LaunchBar is an award-winning productivity utility that offers an amazingly intuitive and efficient way to search and access any kind of information stored on your computer or on the Web. It provides... Read more
Maya 2015 - Professional 3D modeling and...
Maya is an award-winning software and powerful, integrated 3D modeling, animation, visual effects, and rendering solution. Because Maya is based on an open architecture, all your work can be scripted... Read more
BBEdit 10.5.12 - Powerful text and HTML...
BBEdit is the leading professional HTML and text editor for the Mac. Specifically crafted in response to the needs of Web authors and software developers, this award-winning product provides a... Read more
Microsoft Office 2011 14.4.4 - Popular p...
Microsoft Office 2011 helps you create professional documents and presentations. And since Office for Mac 2011 is compatible with Office for Windows, you can work on documents with virtually anyone... Read more
TextWrangler 4.5.10 - Free general purpo...
TextWrangler is the powerful general purpose text editor, and Unix and server administrator's tool. Oh, and also, like the best things in life, it's free. TextWrangler is the "little brother" to... Read more
BitTorrent Sync 1.4.72 - Sync files secu...
BitTorrent Sync allows you to sync unlimited files between your own devices, or share a folder with friends and family to automatically sync anything. File transfers are encrypted. Your information... Read more
Cyberduck 4.5.2 - FTP and SFTP browser....
Cyberduck is a robust FTP/FTP-TLS/SFTP browser for the Mac whose lack of visual clutter and cleverly intuitive features make it easy to use. Support for external editors and system technologies such... Read more

Latest Forum Discussions

See All

ALONE... (Games)
ALONE... 1.0.1 Device: iOS Universal Category: Games Price: $1.99, Version: 1.0.1 (iTunes) Description: ALONE is a handcrafted, intense survival journey through space. Navigate caves, rip through rocky debris, dodge rocks and comets... | Read more »
Almightree: The Last Dreamer (Games)
Almightree: The Last Dreamer 1.0 Device: iOS Universal Category: Games Price: $1.99, Version: 1.0 (iTunes) Description: The world is shattering and you are the only hope to restore the balance. A thrilling and challenging 3D puzzle... | Read more »
The Nightmare Cooperative (Games)
The Nightmare Cooperative 1.1 Device: iOS Universal Category: Games Price: $3.99, Version: 1.1 (iTunes) Description: Fiendishly difficult! Adorably cute! Utterly engrossing!How much gold can you get before your entire team is... | Read more »
Mobile Convolution (Music)
Mobile Convolution 1.0.0 Device: iOS Universal Category: Music Price: $9.99, Version: 1.0.0 (iTunes) Description: | Read more »
Invaders! From Outer Space Review
Invaders! From Outer Space Review By Rob Thomas on August 27th, 2014 Our Rating: :: RETRO NOSTALGIAUniversal App - Designed for iPhone and iPad It’s a shame that Invaders! doesn’t offer deeper gameplay, as this retro-inspired... | Read more »
Spooklands Review
Spooklands Review By Jennifer Allen on August 27th, 2014 Our Rating: :: ONE-TOUCH SHOOTERUniversal App - Designed for iPhone and iPad One-touch simultaneously controls your direction and your weapon in this unique arena shooter.   | Read more »
Heroes of Order & Chaos Add Twitch I...
Heroes of Order & Chaos Add Twitch Integration, New Heroes, and More Posted by Ellis Spice on August 27th, 2014 [ permalink ] | Read more »
Foodie Yama Review
Foodie Yama Review By Jennifer Allen on August 27th, 2014 Our Rating: :: BRIEFLY HOOKSUniversal App - Designed for iPhone and iPad Foodie Yama will draw you in for a brief while, and you’ll never be entirely sure why.   | Read more »
Spotify Connect Turns One, Now Supports...
Spotify Connect Turns One, Now Supports New Devices Posted by Ellis Spice on August 27th, 2014 [ permalink ] Universal App - Designed for iPhone and iPad | Read more »
The Rise of PicsaStock and How You Can M...
We all take plenty of photos, right? That’s the joy of having a reasonably powerful camera in your pocket, thanks to your trusty iPhone and a bevy of similarly useful apps. Wouldn’t it be great to make some money out of those snaps? While your... | Read more »

Price Scanner via MacPrices.net

12-Inch MacBook Air Coming in 4Q14 or 2015 –...
Digitimes’ Aaron Lee and Joseph Tsai report that according to Taiwan-based upstream supply chain insiders, Apple plans to launch a thinner MacBook model either at year end 2014 or in 2015, and that... Read more
Sapphire Screen “Most Wanted” iPhone 6 New Fe...
According to the ‘uSell.com iPhone Most Wanted Survey’ — a representative survey of 1,000 U.S. smartphone users conducted by used iPhone marketplace uSell.com — close to half of all smartphone users... Read more
The iPad’s Real Competitive Challenger (Not S...
It’s been my contention for some time that the iPad is suffering from something of an identity crisis, and I suspect that may be a factor in slackening sales this year. Apple can’t seem to decide... Read more
13-inch 2.6GHz/256GB Retina MacBook Pro on sa...
B&H Photo has the 13″ 2.6GHz/256GB Retina MacBook Pro on sale for $1379 including free shipping plus NY sales tax only. Their price is $120 off MSRP. Read more
Life Inventory iOS Apps – Learn to Know Thyse...
James Hollender’s Life Inventory apps s are now on sale with 20% off thru Labor Day, 09/01/2014. This is a great opportunity to get started on that Moral Inventory you’ve been putting off doing for... Read more
Pocket Watch, LLC. Reveals Cloud Server For P...
Beaumont, Texas based Pocket Watch, LLC. has announced the availability of its new ActivePrint Cloud Server Powered by Raspberry Pi. With this small standalone box almost any USB printer or available... Read more
902it Simplifies Area Code Changes For Nova S...
The east coast Canadian provinces of Nova Scotia and Prince Edward Island are phasing in 10 digit telephone dialing, to be fully in place by November, in order to accommodate a second area code to... Read more
Boomerang iPad Stand Mounts Your iPad Anywher...
Boomerang, a Mountable Stand with Multiple Viewing Angles, is now available for iPad Air. Boomerang combines several functions that aim to expand your iPad’s potential in one, elegant product. The... Read more
Retina MacBook Pros available starting at $10...
The Apple Store has Apple Certified Refurbished 13″ and 15″ MacBook Pros available starting at $929. Apple’s one-year warranty is standard, and shipping is free: - 13″ 2.5GHz MacBook Pros (4GB RAM/... Read more
Apple 27-inch Thunderbolt Display (refurbishe...
The Apple Store has Apple Certified Refurbished 27″ Thunderbolt Displays available for $799 including free shipping. That’s $200 off the cost of new models. Read more

Jobs Board

*Apple* Retail - Multiple Positions (US) - A...
Sales Specialist - Retail Customer Service and Sales Transform Apple Store visitors into loyal Apple customers. When customers enter the store, you're also the Read more
Senior Event Manager, *Apple* Retail Market...
…This senior level position is responsible for leading and imagining the Apple Retail Team's global event strategy. Delivering an overarching brand story; in-store, Read more
*Apple* Solutions Consultant (ASC) - Apple (...
**Job Summary** The ASC is an Apple employee who serves as an Apple brand ambassador and influencer in a Reseller's store. The ASC's role is to grow Apple Read more
Project Manager / Business Analyst, WW *Appl...
…a senior project manager / business analyst to work within our Worldwide Apple Fulfillment Operations and the Business Process Re-engineering team. This role will work Read more
Position Opening at *Apple* - Apple (United...
…customers purchase our products, you're the one who helps them get more out of their new Apple technology. Your day in the Apple Store is filled with a range of Read more
All contents are Copyright 1984-2011 by Xplain Corporation. All rights reserved. Theme designed by Icreon.