3D Graph Users Guide

OK, here's how you do it:

Start the main program (ADV3DGRP), Press (1) to enter the Z= EDITOR.
Enter the equation ^-sin(X^r) on the Z(X,Y)= prompt. Press (ENTER)
Press (2) to enter the GRAPH RANGE menu. Press(2) to edit the graph range. Press the number for the var you want to edit. To edit the Xmin var press (1). Enter ^-5. Enter the following numbers: Xmin=^-5, Xmax=5, XGRID=10, Ymin=^-5, Ymax=5, YGRID=5. Finally press (7) to RETURN to the GRAPH RANGE menu. At the GRAPH RANGE menu press (1) to examine the vars. At last press (4) to return to the main menu.
Now it's time to change the viewing angle. Press (3) to enter the VIEWING ANGLE menu. Press (4) to reset the viewing angle vars to the standard values. This vill reset the vars and show the VIEW VARS screen to let you examine the vars. Press (ENTER) and (5) to return to the main menu.
And now it's time to do the calculations. Press (4) at the main menu to enter the CALCULATE menu. Since we want to do all the calculations this time just press (4). The calculations will start. At some point menu asking you whether the points should be plotted in NORMAL or PERSPECTIVE mode. Shoose PERSPECTIVE. The calculations will continue. This will take a loooooooong time.
When the calculations is done you will be returned to the main menu. Finally it's time to draw the graph, press (5) to draw it. The graph is drawn.
If you want to TRACE the graph press (CLEAR) to return to the home screen, followed by (ENTER) to restart 3D Graph. Now press (6) to TRACE. When you're done tracing the graph press (ENTER). Don't leave the calculator in trace mode, since this will drain your calculators batteries.

A description of the alternatives:

1:Z= EDITOR

This shows the Z= EDITOR, the Z= editor is similar to the Y= editor, which you reach when you press the (Y=) button on the keypad. The difference is that this time you enter a Z equation, which is depending on two variables (X,Y), instead of a Y equation depending on one (X) variable.
The equation is stored in Str0, make sure you haven't anything important stored there before using 3DGraph. If you want to paste the old equation to the Z= EDITOR, you can recall it to the Z= prompt. To do this press (2nd) (RCL) (VARS) (7:String...) (0:Str0) (ENTER).
You can save the equation to another string variable by entering Str0->StrX at the Home Screen, where StrX is any string variable between Str1 to Str9.

2:GRAPH RANGE

This shows the GRAPH RANGE menu. The graph range menu lets you edit the graph range (surprise). See chapter 3 for more information.

3:VIEWING ANGLE

This shows the VIEWING ANGLE menu. This menu works the same way as the graph range menu, exept this edits the angle from which the graph is seen. See chapter 4 for more information.

4:CALCULATE

This shows the CALCULATE menu. Here you will find the routines for calculating the graph, this is required to be able to see any graph. See chapter 5 for more information.

5:GRAPH

Use this selection to draw the equation on the graph screen. The graph is drawn according to the current window range settings. Use the 4:CALCULATE/3:ZoomFit option to set the window range to fit the graph. When the graph is drawn the program will exit. To redraw or trace the graph, goto the Home Screen by pressing (CLEAR) or (2nd) (QUIT). At the Home Screen press (ENTER) to re-run 3DGraph.
Using graph will turn off all other equations and plots.

6:TRACE

TRACE is used to trace the graph. This option works similar to the (TRACE) button on the keypad (which will only work on the built in graphs, not on 3D graphs). When pressing TRACE the marker will be centered somewhere around the center of the graph. Use the cursor keys to move the marker. X, Y and Z values will be shown at the bottom of the screen. Press (ENTER) to exit trace mode, this will also exit 3DGraph. To trace the graph again, re-run 3DGraph, as described above, and press TRACE again.
OBSERVE! Tracing a graph uses much battery power, don't leave the calculator in trace mode, this will drain the calculators batteries.
TRACE uses the picture variable Pic0.

7:EXIT

Well, you guess...

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A description of the alternatives:

1:VIEW VARS

This option lets you examine the graph range variables. Press (ENTER) when your're done examining the vars.

2:EDIT VARS

From here you can edit the graph range vars. From the EDIT GRAPH RANGE menu select the var you want to edit. XGRID and YGRID decides the resolution of the graph. A XGRID value of 10 will create a graph consisting of 10 squares on the X-axis. This means that there will be 11 grid lines on that axis. The step between two lines can be calculated using this formula: Xstep=(Xmax-Xmin)/XGRID. The XGRID value must be a positive integer value greater than 0. If you enter ^-8.7 as as XGRID, the ^- sign will be omitted and 8.7 will be rounded off to 9.
Xmax must be greater than Xmin and Ymax must be greater than Ymin. If any of the values are illegal, an error message will be show before the GRAPH RANGE menu is shown when you RETURN to it.

3:SET STANDARD

Sets the standard graph range var values. These values are Xmin=^-10, Xmax=10, XGRID=10, Ymin=^-10, Ymax=10, XGRID=10.
This will create a graph range with X-values between -10 to 10 and Y-values between -10 and 10, with a grid size of 11x11 grid lines (10x10 squares).

4:RETURN

Returns to the Main Menu.

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A description of the alternatives:

1:VIEW VARS

This option lets you examine the viewing angle variables. Press (ENTER) when your're done examining the vars.

2:ROTATION

Sets the ROTATION^O variable. The graph is rotated around it's Z axis. The graph is viewed from above when rotated. the ROTATION^O is always expressed in degrees.

3:TILT

Sets the TILT^O var. Works the same as ROTATION^O, exept that this time the graph is rotated around the window's-X-axis towards the viewer.

4:SET STANDARD

Sets the standard values for ROTATION^O and TILT^O. The standard values are: ROTATION^O=20 and TILT^O=70.

5:RETURN

Returns to the Main Menu.

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A description of the alternatives:

1:Z VALUES

Calculates all Z values corresponding to the X and Y values within the GRAPH RANGE. This must be done whenever the Z= equation is edited, or the GRAPH RANGE variables are changed.
When calculating the status is showed in percent done. (X /100, where X is percent done.) This calculation may take a while.
The Z values is stored in matrix [J].

2:PLOT POINTS

This calculates the points on the screen between which the grid lines are drawn, the calculations are done corresponding to the current VIEWING ANGLE.
When pressing PLOT POINTS you will be presented with a menu prompting you to enter wheter you want the graph to be plotted in NORMAL or PERSPECTIVE mode.
In NORMAL mode all points are where X=5 and Y=5 is plotted on point 5,5 on the screen whatever depth (Z value) the point may have. Often this is the best mode, but when, for exampe, a graph is viewed from above (ROTATION^O=0 and TILT^O=0) the Z values can not be seen visually at all.
In PERSPECTIVE mode the points are plotted with a perspective, points which are nearer the wiewer are moved to the outer parts of the screen while points which are far away are moved nearer the center of the graph creating an illusion of depth. Sometimes this is the best way of viewing a graph, for example when viewing a graph from above, but in other cases the graph may look really wierd.
This calculation must be done whenever anyone of the VIEWING ANGLE vars is changed. You don't have to recalculate the Z VALUES after changing the VIEWING ANGLE, only the PLOT POINTS, and optionally ZoomFit needs to be recalculated. PLOT POINTS must always be recalculated when, and after, the Z VALUES are calculated.
When calculating the status is showed as percent done in the format X/100 where X=percent done.
The plot points are stored in the matrixes [H] and [I].

3:ZoomFit

This calculates the Window Range to make it fit the whole graph. This works similar to ZoomFit and ZoomStat from the zoom menu which is showed when you press the (ZOOM) key. ZoomFit and ZoomStat from the built in ZOOM menu can not be used on a 3D graph.
After using ZoomFit you might want to use the ZSquare from the built in ZOOM menu to make the scale correct when graphing.

4:ALL

This makes all three calculations in order. after the Z VALUES are calculated the CALC PLOT POINTS menu is showed, select the preferred plot mode as described above. This option is implemented to make it easier to calc all values when you have changed the equation and/or the vars.
This also makes it easier for people which are not yet comfortable with the other calculation options.

5:RETURN

Returns to the Main Menu.

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3D Graph is programmed by Nicklas Larsson.
Any comments on the program, or users maual can be sent by e-mail to nicklas.larsson@goteborg.mail.telia.com or nl@linux.nu . You can write in Swedish or English.

I'm sorry for all misspellings, and/or all other faults that may be in this Guide, but English isn't my first language.

The program is (of course) FreeWare and may be copied and/or edited freely. It only seems ridiculus to charge for calculator programs, in my opinion.

If you edit the program, please keep my copyright notice at the exit of the program, along with your own.

The 3D Graph consists of the following files:

ADV3DGRP	The main program, all menus and prompts are located here.
Z3DGCALP	The PLOT POINTS calculating routine.
Z3DGCAL	The Z VALUES calculating routine.
Z3DGGRPH	The GRAPH routine.
Z3DGTRCE	The TRACE routine.
Z3DGZFIT	The ZoomFit routine.

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