[script] FxGraph - 2D/3D Function plotter 1-20  21-40  41-60  61-78

 From: Max Smirnov (SMIRNOV) 20 Jan 2014  (1 of 78)
 Here is a script to plot the 2D graphs of functions on the fly. You can use all functions and constants of the Javascript Math object: code:```abs(x) Returns the absolute value of x acos(x) Returns the arccosine of x, in radians asin(x) Returns the arcsine of x, in radians atan(x) Returns the arctangent of x as a numeric value between -PI/2 and PI/2 radians ceil(x) Returns x, rounded upwards to the nearest integer cos(x) Returns the cosine of x (x is in radians) exp(x) Returns the value of Ex floor(x) Returns x, rounded downwards to the nearest integer log(x) Returns the natural logarithm (base E) of x pow(x,n) Returns the value of x to the power of n random() Returns a random number between 0 and 1 round(x) Rounds x to the nearest integer sin(x) Returns the sine of x (x is in radians) sqrt(x) Returns the square root of x tan(x) Returns the tangent of an angle E Returns Euler's number (approx. 2.718) LN2 Returns the natural logarithm of 2 (approx. 0.693) LN10 Returns the natural logarithm of 10 (approx. 2.302) LOG2E Returns the base-2 logarithm of E (approx. 1.442) LOG10E Returns the base-10 logarithm of E (approx. 0.434) PI Returns PI (approx. 3.14) SQRT1_2 Returns the square root of 1/2 (approx. 0.707) SQRT2 Returns the square root of 2 (approx. 1.414)``` If you want to use degrees instead of radians - use square brackets. sin(x) <- x in radians, sin[x] - x in degrees. You can use "rnd" command instead of random() function Other settings: minX, maxX - limits of the function. Don't forget, in MoI you can use math expression in the settings. Example: y=sin(x), minX = 0, maxX = 2*pi <- you will get one full period of sine function points - number of points. If 500 points is not enough, you can set any other value manually. Update: v.1.1 - Some optimizations - [Added] Variables (a,b,c,d) v.1.2 - [Fixed] Unexpected condition error (I hope so) - [Added] Radial mode (if script detects "t" variable in the formula, it automatically switches to R(t) mode) - [Added] Command line arguments Usage: "_fxGraph fx;min;max;points;a;b;c;d" Examples: _fxGraph sin(x) -> f(x)=sin(x) _fxGraph sqrt(x);0;25 -> f(x)=sqrt(x), min(x)=0, max(x)=25 _fxGraph pow(x,a);;;;3 -> f(x)=pow(x,a), a=3 v1.2c -[Added] Copy settings to clipboard by clicking f(x)/R(t) symbol. You can use this string as command line argument. v1.2d - [Added] R(t)3D mode. Add ^ symbol at the beginning of a R(t) formula to draw 3D graph. EDITED: 7 Sep 2014 by SMIRNOV Image Attachments:

 From: Frenchy Pilou (PILOU) 20 Jan 2014  (2 of 78)
 Excellent! Useful for math lovers! :) Waiting the 3D! ;) EDITED: 20 Jan 2014 by PILOU

 From: bemfarmer 20 Jan 2014  (3 of 78)
 Superb script MAX ! Just assigned it to my SHIFT+F shortcut. This script replaces a bunch of one-shot scripts. It can create an unbounded number of curves. It uses the fast method of scripting mostly in .htm file. Other math functions could be added. Maybe for a catenary? Have to investigate the math, it uses hyperbolic trig, or exponentials. ? If a version were created for a U parameter, nested with a V parameter, it might do 3d curves ? Do not know if it would do integration or differentiation? i.e Euler spiral? - Brian

 From: bemfarmer 20 Jan 2014  (4 of 78)
 exp(x) give an "unknown command" error. Edit: pow(x,2) works. (n needs to be a number:-), (pow(x,n) is not a correct entry) log(x) works for minX = 0 - Brian EDITED: 20 Jan 2014 by BEMFARMER

 From: Max Smirnov (SMIRNOV) 20 Jan 2014  (5 of 78)
 6447.5 In reply to 6447.4 Thank you! :) Frenchy Pilou (PILOU) >> Waiting the 3D! Not now. It was in the beta version of this script, but I haven't finished it. Brian >> exp(x) give an "unknown command" error fixed >>pow(x,2) works pow(2,x) and pow(x,x) also works perfectly >> log(x) works for minX = 0 I set "x=minx+1/10e8" because of "Unexpected condition error" with y=1/x function. For example, y=x/0 correctly works (infinity message appears). I don't know why.. >>If a version were created for a U parameter, nested with a V parameter, it might do 3d curves ? Yes, I think so.

 From: bemfarmer 20 Jan 2014  (6 of 78)
 Thankyou Max Formula for a catenary: y = 2 * (exp(x/2) + exp(-x/2))/2 A more general formula is avalue * (exp(x/avlaue) + exp(-x/avalue))/2 But in this case, avalue is just a scaling factor, so by using Scaling in MoI, the avalue is changeable. For example doing a Scaling of 4, on a pre-created catenary, changes the avalue=2 to avalue = 8. It might be nice to have a few parameters like avalue, bvalue ... ? I should have referred to using U and V as creating a series of 3d curves which might be loft-able to a surface or solid. - Brian

 From: bemfarmer 20 Jan 2014  (7 of 78)
 Tried out version 1.1 a little. Looks good. I suspect a version depending upon a rotational parameter t or theta, with x = some function of t, and y = some function of t, would be possible? - Brian

 From: Frenchy Pilou (PILOU) 21 Jan 2014  (8 of 78)
 6447.8 In reply to 6447.5 <<< y=x/0 correctly works (infinity message appears) Seems normal, no ? ;) If the language has not an automatically barrier for impossible operation! --- Pilou Is beautiful that please without concept! My Gallery

 From: Max Smirnov (SMIRNOV) 21 Jan 2014  (9 of 78)
 6447.9 In reply to 6447.7 The script has been updated with a new R(t) function. xy(t) is possible. I'll think about it. Image Attachments:

 From: Frenchy Pilou (PILOU) 21 Jan 2014  (10 of 78)
 Tricky the fact to use variables!

 From: Michael Gibson 21 Jan 2014  (11 of 78)
 6447.11 In reply to 6447.9 This is really cool Max, to have a more general purpose curve constructor that can be used for a lot of different possible formulas! - Michael

 From: wastzzz 21 Jan 2014  (12 of 78)
 Epic, funny and useful! Thank you.

 From: Max Smirnov (SMIRNOV) 22 Jan 2014  (13 of 78)
 v1.2d - [Added] R(t)3D mode. Add ^ symbol at the beginning of a R(t) formula to draw 3D graph. ^pow(t,a)/pow(10,2*a-2);-100;100;500;3 Attachments:

 From: Frenchy Pilou (PILOU) 22 Jan 2014  (14 of 78)
 6447.14 In reply to 6447.13 Born of the 3D world! ;) EDITED: 22 Jan 2014 by PILOU

 From: Max Smirnov (SMIRNOV) 6 Sep 2014  (15 of 78)
 This is my new script - FxGraph3D which allows drawing 3D parametric surfaces. x = X(u,v), y = Y(u,v), z = Z(u,v), where u,v are the parametric domain parameters. Here is some interesting parametric equations. http://msenux.redwoods.edu/Math4Textbook/Plotting/ParametricSurfaces.pdf Attachments:

 From: Michael Gibson 6 Sep 2014  (16 of 78)
 6447.16 In reply to 6447.15 Very cool Max! - Michael

 From: wastzzz 7 Sep 2014  (17 of 78)
 6447.17 In reply to 6447.15 Thank you!