AutoHotkey Community

majkinetor · Joined: 24 May 2006 Posts: 3652 Location: Belgrade

ok....

Titan · Joined: 11 Aug 2004 Posts: 5390 Location: /b/

I didn't expect you to write a symbolic engine but to reuse one. Perl has Math::Symbolic as does Java and Maple too has it's own API. I thought you'd know of a good free library, alas they're hard to find.

Laszlo · Joined: 14 Feb 2005 Posts: 4078 Location: Pittsburgh

The source is free (I will upload version 3 later today), so anyone can modify it. It is a really good idea to provide a few alternative user interfaces, so people can chose what they like. Your (or anyone’s) contribution is most welcome. The most useful areas are

- Better help (html with links, index, tutorial)
- Alternative user interfaces
- Optional wrapper for scientific functions from GSL or other free external dll
- True function definitions (dynamic AHK functions), with local variables
- Hidden mode (as in my other calculator scripts): selection is evaluated, pasted to the active application (lists and graphics are not trivial)

The compiled script is now only 215 KB, and does not need any other files but the Windows API. It loads and pops up instantly, faster than the Windows calculator. I spent a lot of time to make it small: relied on the built in AHK functionality, avoiding external dll’s or complex code, e.g. not allowing general cell editing in array lists or not making windows resizable. I think it is important to keep it pithy and fast, so a symbolic engine is probably better provided in a separate project. I don’t know of any good free library, either. Anyone who does, please post a link here.

Laszlo · Joined: 14 Feb 2005 Posts: 4078 Location: Pittsburgh

Version 3.0 is uploaded, with many significant changes, new functions:

- ESC: Clears expression field
- Ctrl-Home/End: highlights first/last history entry
- F1, Alt-H: help
- Ctrl-F1: help about function under cursor in the Calc window
- Restructured Help (categorized functions)
- Help extended with AHK variables, operators, functions
- Help is made searchable
- New output line above hex: signed ¦ unsigned 64-bit integer
- Output is now labeled: AHK string, 0.6e¦0.17e, Int¦Uint 64, Hex¦-Hex, Binary
- Graph cursor stable on old graphic cards, too ~ majkinetor's SetCursor (check WM_SETCURSOR)
--- http://www.autohotkey.com/forum/viewtopic.php?t=27257
- Customizable default window positions, hotkeys by editing CALC.INI
- Customizable font, fontsize by editing them under [Font] in CALC.INI
- [Graph Defaults] are set in CALC.INI
--- width=600 (width of graph paper in pixels)
--- height=400 (height of graph paper)
--- xTicks=10 (number of vertical grid lines)
--- yTicks=10 (number of horizontal grid lines)
--- BgColor=0xFFFFFF (BackGround color: white)
--- LnColor=0xFF0000 (Line color: blue)
--- LnWidth=2 (Line width)

- _, _1: last output, _2,_3..._9 previous outputs
- list() lists last outputs (AHK format)
- Clear(array) removed
- sec, cosec, asec, acosec(x) added

- ModMul(a,b, m) : unsigned a*b mod m, no overflow if a*b < 2**127
- ModPow(a,e, m) : unsigned a**e mod m, no overflow!
- MsMul(a,b) : Most Significant Int64 of unsigned a*b
- Reci64(m [, ByRef ms]) : 2**ms/m: Int64 normalized (negative), m: UNSIGNED written with sign
- uMod(x,m) : unsigned mod (umod((2**32-1)*(2**32-1),9) -> 0)
- uCmp(a,b) : unsigned 64-bit compare. a <|=|> b: -1|0|1
- MSb(x) : Most Significant bit: 1..64, (0 if x=0)
- LSb(x) : Least Significant bit: 1..64, (0 if x=0)

There are a bunch of functions treating large integers as unsigned, although AHK shows them signed. They are useful if intermediate results could grow to more than 64 bits. The ModPow function is accurate in computing a**e mod m, even when a**e could not be computed by any computer in the world, like 12345678901234**9876543210987.

Dragonscloud · Joined: 16 Jul 2005 Posts: 97

I'm amazed at how far this project has come. Even the first version was extremely useful and versatile.I'm still using it at work as a replacement for Calc.

Bug report:
I tried out the Asc() function. It yielded the same result for uppercase as it did for lowercase.

Thanks for adding AHK variables.

I see that you fixed the bug regarding certain decimal inputs crashing the script. Great work.

I have some questions regarding arrays and graphing that I'll post another time when I can figure out how to phrase them.
_________________
“yields falsehood when preceded by its quotation” yields falsehood when preceded by its quotation.

Laszlo · Joined: 14 Feb 2005 Posts: 4078 Location: Pittsburgh

This is a “feature” of ComboBox: if the expression you type in happens to be already in the history list disregarding capitalization, the history version is taken, not the typed in expression (both with GuiControlGet and Gui Submit):

Laszlo · Joined: 14 Feb 2005 Posts: 4078 Location: Pittsburgh

Version 3.1 is posted with a bugfix, basic polynomial functions, some others...

- Bugfix: Work around upper/lowercase conflicts in ComboBox (Dragonscloud’s report, Bobo's solution)
- Added xGCD(c,d, x,y) : Extended GCD, return GCD(x,y), compute c,d: GCD = c*x + d*y
- Added assign('x',v1,v2...) : assign values to array x
- Ctrl-F1 now searches for "space WORD (" with WORD found around the caret
- Added Alt-R and Context menu item "Refresh" in list window to refresh ListView after data change
- List simplified: use default width, static header
- POLYNOMIALs: Representation by vectors. p[0] = LEN = degree+1, p[1] + p[2]*x + ... p[LEN]*x**(LEN-1)
- Changed @() to pad the shorter vector with 0's ( @(`z,y,'+',x) ~ polynomial addition )
- Added pleval(p,x): evaluate polynomial, <- p(x), (Horner's method)
- Added plmul('z',y,x): z <- polynomial y*x (~ convolution, FIR filter)
- Added pldiv('q','r',y,x): polynomial division,mod: q <- y/x; r <- mod(y,x)

Trikster · Posted: Mon Jan 28, 2008 3:29 am Post subject:

Laszlo · Joined: 14 Feb 2005 Posts: 4078 Location: Pittsburgh

Trikster · Posted: Mon Jan 28, 2008 3:57 am Post subject:

Laszlo · Joined: 14 Feb 2005 Posts: 4078 Location: Pittsburgh

Thanks for the link, but we can generate more than 900 million digits of pi with a pure AHK script, too. With a little more complicated function the only limit on the number of digits computed is the memory in the PC. But what do you want to do with that many digits? The calculator cannot show them. Those digits are rarely needed, and when they are, you just fire up the script above.

Trikster · Posted: Mon Jan 28, 2008 4:17 am Post subject:

ahklerner · Joined: 26 Jun 2006 Posts: 1249 Location: USA

Laszlo · Joined: 14 Feb 2005 Posts: 4078 Location: Pittsburgh

You are a little too optimistic. The parameter of the pi function is the number of digits you request. Even if your PC has 16GB memory the function cannot handle more than 905,000,000 digits. There is a loop running 500 million times, working on billion digit numbers, so leave your PC on for a couple of months... Wink

ahklerner · Joined: 26 Jun 2006 Posts: 1249 Location: USA

o rly. roflmao.......i was like wow this is takin forever.
_________________

ʞɔпɟ əɥʇ ʇɐɥʍ