Graphmatica for iPad/iPhone

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• iGraphmatica requires an iPhone, iPod touch, or iPad running iOS 5.1.1 or newer (iPhone 3GS and newer, 3rd gen iPod touch devices and up, and all iPads).
• I am working on a "lite" version, but for now, if you'd like to try before you buy, you can download the free trial version for the Mac or Windows first.

• Version 2.4.1 (now available) fixes a hang when displaying the equation error popup on iOS 7/8.
• Version 2.4.0 contains the same new features as the desktop version 2.4:
  1. Curves are now highlighted as you mouse over them or select them in the equation list.
  2. Added Pick Line Style to the context menu for equations, allowing you to choose from solid, dashed, dotted, and dash-dot line styles.
  3. Additionally, fixed the size of the Pick Graph Color popover on iOS 8.
• Version 2.3.6 contains the following changes:
  1. Fixed bug preventing Pick Graph Color dialog from appearing on iOS8.
  2. Fixed a problem which could cause ODEs (and implicit Cartesian functions) to fail to register (and later disappear) rather than just stop drawing when the approximation hits an error.
  3. Fixed graphs of x < 1/y and other inequalities with asymptotes that are functions of y, not x.
  4. Graph any equation/inequality that is explicitly specified as x=f(y) as a function of y even if it can be solved for y instead.
  5. Added Delete Graph and Clear Screen items to Tools menu, for ease of access (and to allow deleting slope-field graphs).
  6. Changed highlight color used for crosshairs and selected domain region to be black rather than white when any high-luminance background color (not just pure white) is selected.
  7. Fixed potential startup crash on iPod Touch running iOS 8.
  8. Eliminated extra vertical asymptote drawn as part of y=acot x.
  9. Fixed crash trying to load graph document with an equation that has an error.
• Version 2.3.5 contains the following changes:
  1. iOS8 compatibility fixes
  2. Fixed bug which could cause graphs to be drawn slightly past the end of their specified domain.
  3. Find All Graphs now adjusts the range based only on the requested domain of the equations (rather than the maximum possible values that would be visible on the screen with an unrestricted domain).
  4. Fixed-increment Cartesian, polar, and parametric graphs (with a third parameter in their domain to specify the interval between graphed points) are now drawn as a series of dots rather than line segments. Point tables for these graphs display the set of the points graphed.
  5. The parser will now accept functions that are run together with their parameter, e.g. y=sinx.
  6. Added support for specifying powers of functions before the parameter e.g. y=sin^2x or y=cos²x
• Version 2.3.4 contains the following changes:
  1. Fixed crash in cubert (∛x) function when x < 0.
  2. Fixed issue with persisting a switch back to one of the standard color schemes from a custom scheme (for sure this time!).
• Version 2.3.3 contains the following changes:
  1. Fix a potential crash when displaying an error for a bad equation.
  2. Fix a crash loading the Spanish version of the Find Intersection dialog box.
• Version 2.3.2 contains the following changes:
  1. Differentiable single-variable equations/inequalities (e.g. 1/x - 2 > 0) are now solved and rendered more accurately by a new algorithm that uses Newton's method to find all of the potential solutions and boundaries.
  2. Improved display of equation parsing errors to indicate the position of the problem where applicable. The error is displayed in a popover and you no longer need to dismiss it in order to edit your equation. In addition, the problem area of the equation is selected for you and the bubble "points to" the selection in order to help you identify what's wrong with your equation or function definition.
  3. Fixed crash when computing critical points for equations containing an expression like "x+0".
  4. Fixed a number of issues with displaying "holes" in graphs and the Find Critical Points dialog box.
  5. Fixed issues with restoring custom color schemes and persisting a switch back to the default color scheme.
  6. Reworked the way the custom keyboards insert symbols into the associated text field so they are not prone to performance issues if large items are present on the clipboard.
• Version 2.3.0 contains the following changes:
  1. More colors! There are now 16 slots for graph colors and a palette of 128 possible colors to choose from.
  2. Choose Graph Document dialog now allows you to delete documents you no longer need.
  3. Fixed text size when printing from Retina devices
  4. Printing with "Color with White Background" selected for the Printed Color Scheme no longer changes to the standard white color scheme if you have defined a custom color scheme and the background is already white.
  5. Fixed rendering of dashed lines for strict inequalities when "Draw graphs with wide lines" option is selected.
  6. Fixed bugs in Pick graph color (strict inequalities were changed from dashed to solid lines and domain endcaps in piecewise-defined functions were not consistently updated)
• Version 2.2.6 fixes the numbers in the equation keyboard after switching to the new symbol panes and back.
• Version 2.2.5 contains the following changes:
  1. Additional panes for the virtual keyboard allowing easy entry of Greek letters, subscript and superscript numerals, and several commonly used mathematical symbols.
  2. Additional buttons for the standard alphabetic virtual keyboard allowing you to switch directly to the equation keyboard (or new symbol panes) while editing equations, functions, annotations, or labels.
  3. Support for iOS7 look and feel.
  4. Assorted bug fixes
• Version 2.1.7:
  1. Added Logarithmic function curve fitting option.
  2. The Exponential curve fitting option now formats equations as y = a b^x.
  3. The Find All Graphs feature now includes data plots in its search for portions of curves that are not currently visible.
• Version 2.1.6:
  1. Fixed an infinite loop in calculating point tables for domains starting at x >= 10000.
  2. Curve fit equations now display R² (coefficient of determination) instead of r for non-linear fits to avoid confusion.
  3. Fixed issue with y=ln x not displaying for certain grid ranges due to prior fix for CPU spin on certain graphs on log paper.
• Version 2.1.5 improved the rendering of graphs with highly-vertical segments (including any graph that crosses y=0) when using logarithmic graph paper.
• Version 2.1.4 contained the following changes:
  1. Reformatted demo files to ensure they can be loaded when the decimal separator is ","
  2. Fixed potential crash displaying error popup when an equation parse error occurred during file load.
• Version 2.1.3 fixed the following issues:
  1. maximum length for the number of iterations field in the Curve Fit settings should be 6 digits not 2
  2. crash loading the Graph Paper dialog box on iPads running iOS 6
  3. hang/crash switching to logarithmic graph paper with an all-negative range
  4. hang/crash switching to polar graph paper when at logarithmic scale or the grid is way off-center
  5. grid remains oriented in portrait mode when starting in landscape mode on iPads running iOS 6
• Version 2.1.2 included all of the fixes in Graphmatica 2.2 for Windows and Mac, but no provision for entering Greek letters or super/subscripts.
• Version 2.1.1 added support for full-screen mode on the new iPhone 5 and can read documents with special characters saved by Graphmatica 2.2 for Windows.
• Version 2.1.0 included all of the new features and fixes in the corresponding desktop builds.

• A limited subset of the online help is available in the in-app help viewer. You can browse the complete set of help pages for the Mac/Windows versions on my web site (keeping in mind that the UI won't match exactly, although the concepts are the same for all versions of the program).
• The bugs page contains a list of known bugs (mainly tricky equations, if you experience a crash or UI problem, please email me).
• Should you run into a bug or graphing error, please send me the document you were working on using the Email <curent graph document> item in the Edit menu to send mail with the document attached to support@graphmatica.com.
• If you'd like to help translate the new version, I have a number of translations of the Windows version available to work from, so the work will mostly just be a lot of copy-and-paste. Contact me if you'd like to participate.

In general, I've tried to match the features and layout of the PC/Mac versions of the program when possible. In some cases, though, I have made adjustments to comply with Apple's Human Interface Guidlines, work around the lack of certain controls in the iPad UIKit library, or otherwise better integrate with the iPad user experience.

1. The toolbar/menus at the edge of the screen only contains commands for actions that don't really pertain to a specific curve or part of the grid. To find the rest of the commands, try tapping on various parts of the grid:
   • Tap on the labels area outside of the grid boundary or x/y axes labels to see labels-related actions
   • Tap on the legends to see legends-related actions
   • Tap on a curve to delete or hide it, or access any of the numerical evaluation features (point evaluate, find intersection, and all calculus features).
   • Tap on the point tables to see tables-related actions.
   • Tap on the background to add an annotation or clear the whole screen
   • Tap on an annotation to edit or delete it, or hold and drag an annotation to move it. (Note that with this feature and in-place editing, the Annotations dialog box no longer seemed necessary, so it is gone.)
   • Hold and drag the dot marking the point on the curve for a tangent line to compute and display the tangent line for another point on the same curve. Hold and drag the point on a curve the start or end of the area integrate to change the integration region.
2. All zooming/scrolling around the grid is accomplished via direct manipulation fo the grid using the standard "pinch zoom" and drag-to-scroll gestures. You can still fine-tune the displayed grid range using the Grid Range dialog or revert to the default grid.
3. To change to a non-square grid, use the Grid Range dialog to enter the domain and range by hand, or turn off the AutoSquare feature (Settings -> Preferences -> General Settings) and pinch-zoom along the axis that you want to change. (Pinch-zooming on a diagonal will always scale both axes equally.) To get back to a square grid, use the Default Range button or leave 1 or 2 coordinates blank in the Grid Range dialog.
4. All modeless dialogs (point tables, data plot editor, calculation-oriented dialogs) are displayed next to (rather than obscuring) the grid. In portrait orientation, they assume a horizontal layout stacked on top of the grid; in landscape, they are arranged vertically to the right side. Only one modeless panel will be displayed at a time.
5. Most dialog box choices involving radio buttons have been switched to use segmented buttons instead. Additional settings related to specific radio button choices have been moved below the segmented button. In some cases, these controls are now hidden unless you select the related setting in the master button.
6. The Point tables columns (and pane) are not resizable. Also, exactly one equation is always displayed per table.
7. The Set Initial Value feature has not been implemented on iPad. The interaction design for this feature basically requires a mouse, and I am skeptical that a touchpad-oriented design would actually be any easier than just typing the initial value directly using the domain-specifier notation "{t,x,dx, etc.}"

1. The Point Evaluate, Find Intersection, Find Critical Points, and Data Plot Editor features are implemented as full-screen modal views. There is simply not enough screen space on the phone to display the grid and the results side by side.
2. I've omitted the Fonts tab of the Graph Paper settings. Let me know if you don't like any of the font choices I've made for you.
3. Some dialog boxes don't quite fit comfortably on the screen in either portrait or landscape mode. But you should be able to scroll them one way or another to see all of the settings.