At 11/4/05 01:06 PM, T-H wrote: almost 8000 liam

I noticed I had 7, 550 the other day.. heh, I just didn't notice my last post was my 8000th so I didn't announce it.. and I misspelled Stem, heh.. <3

//bleh, forgot to copy+paste this into the other post so sorry for the double post.

whats a taylor approximation? im just using the exponential function

sinh(x) =( exp(x)-exp(-x) )/2

At 11/4/05 01:40 PM, dELta_Luca wrote: whats a taylor approximation?

Ive got something that might be it written down in my book:

for R >=0
sinX = X - ((X^3) / (3!)) + ((X^5) / (5!)) - .......R iterations....
+ ((-1)^R) * ((X^(2R + 1)) / (2R + 1)!

Gives answer in radiens, not sure if its taylor or not. but using this for Math.sin would be parsing as authorblues said.

At 11/4/05 01:40 PM, dELta_Luca wrote: whats a taylor approximation? im just using the exponential function

The taylor series, hard hard maths =(

ive also found this definition for sin(x) which is for real and complex numbers

sin(x) = e^(ix) - e^(-ix) / (2i)

function limit(v:Number, low:Number, high:Number):Number {
if (v<low) {
return low;
} else if (v>high) {
return high;
} else {
return v;
}
}

Returns the value 'v' forced to stay within the specified limits.
I know it's incredibly basic, pretty much all my other stored custom functions have already been covered =(

At 11/4/05 02:26 PM, Rantzien wrote: function limit(v:Number, low:Number, high:Number):Number {
if (v<low) {
return low;
} else if (v>high) {
return high;
} else {
return v;
}
}

Usage:

trace(limit(10, 5, 10)); //trace 10.

Not really useful at all, but I guess it could be used for limiting speed and such...

At 11/4/05 02:39 PM, -liam- wrote: Not really useful at all, but I guess it could be used for limiting speed and such...

Yah, what I meant was to use it like, for example:
onEnterFrame = function() {
if(Key.isDown(Key.UP)) speed++;
if(Key.isDown(Key.DOWN)) speed--;
speed = limit(speed, -10, 10);
}

Remember that me === lazyness =)

If you have any ideas for custom functions, but aren't able to do them yourself, then post them.. we need ideas =P Else we'll be stuck making functions like this:

function getMid(low:Number, high:Number):Number {
return ((high-low)/2)+low
}

Usage:

trace(getMid(5, 10)); //7.5
trace(getMid(0.5, 1.6)); //1.05

Ideas are good.

At 11/4/05 02:26 PM, Rantzien wrote: function limit(v:Number, low:Number, high:Number):Number {
if (v<low) {
return low;
} else if (v>high) {
return high;
} else {
return v;
}
}

function limit(v:Number, low:Number, high:Number):Number {
return v<low?low:v>high?high:v
}

:)

At 11/4/05 03:12 PM, fwe wrote: function limit(v:Number, low:Number, high:Number):Number {
return v<low?low:v>high?high:v
}

Actually I didn't know you could use ? : syntax with else if statements =)

function toArray(str:String):Array {
var arr:Array = [];
for (a=0; a<str.length; a++) {
arr.push(str.charAt(a));
}
return arr;
}

Usage:

var myArray:Array = toArray("lol");
//my Array = l, o, l.
trace(toArray("lol")); //l, o, l

At 11/4/05 03:27 PM, -liam- wrote: var myArray:Array = toArray("lol");
//my Array = l, o, l.
trace(toArray("lol")); //l, o, l

lol @ u... good try...
even the call of the function is longer than the string method
var myArray:Array = new String("lol").split("");
trace(myArray);

At 11/4/05 05:18 PM, authorblues wrote: lol @ u... good try...

It's really hard to be inventive =( lol..

I kinda like this, because it works well =) I don't know how it could be used, but who knows..

function pickRandom(array:Array, restart:Boolean):String {
!(temp instanceof Array) ? temp=new Array() : 0;
restart ? temp=[] : 0;
randomValue = array[(random(array.length))];
for (a=0; a<temp.length; a++) {
if (randomValue == temp[a]) {
return pickRandom(array);
}
}
temp.push(randomValue);
return ((randomValue instanceof String) ? randomValue : randomValue.toString());
}

Usage:

pickRandom(["one", "two", 3, 4], true);
//pick a random char from the array, used twice the same value might be picked so only use this the first time you start picking from this array

pickRandom(["one", "two", 3, 4]);
//same as before, but used for the second, third, etc. time with the same array.

Wow, you had less than 8,000 posts this morning. How does it feel knowing that you post around 40 times a day?

At 11/4/05 03:12 PM, fwe wrote:

At 11/4/05 02:26 PM, Rantzien wrote: function limit(v:Number, low:Number, high:Number):Number {
if (v<low) {
return low;
} else if (v>high) {
return high;
} else {
return v;
}
}

function limit(v:Number, low:Number, high:Number):Number {
return v<low?low:v>high?high:v
}

)

function limit(v:Number, low:Number, high:Number):Number {
return Math.max(low,Math.min(high,v))
}
trace([limit(2,1,3),limit(0,1,3),limit(4,1
,3)])

function scramble(num:Number) {
var arr = new Array(num);
var added = 0;
while (added < num) {
ran = random(num);
unUsed = true;
for (var n in arr) {
unUsed *= ran != arr[n];
}
if (unUsed) {
arr[added] = ran;
added++;
}
}
return arr;
}

trace(scramble(5))

this next one was hard to do, it takes 3 coordinates and creates a circle that passes through all 3, i made this about a year ago, but i used a for loops to check the distances to get a mid point, now it's done with pure algebra, and it runs alot better. this function probly serves no purpose at all, but i love a challenge.

function distance(x1:Number, y1:Number, x2:Number, y2:Number):Number {
var xc:Number = x2 - x1;
var yc:Number = y2 - y1;
return Math.sqrt(xc * xc + yc * yc);
}
function circle(x1:Number, y1:Number, x2:Number, y2:Number, x3:Number, y3:Number) {
var xM1:Number = (x1 + x2) / 2;
var yM1:Number = (y1 + y2) / 2;
var xM2:Number = (x3 + x2) / 2;
var yM2:Number = (y3 + y2) / 2;
var m1:Number = (x2 - x1) / (y2 - y1) * -1;
var m2:Number = (x3 - x2) / (y3 - y2) * -1;
var b1:Number = (m1 * -xM1) + yM1;
var b2:Number = (m2 * -xM2) + yM2;
var xInt:Number = (b2 - b1) / (m1 - m2);
var yInt:Number = (m1 * xInt) + b1;
var radius:Number = distance(x1, y1, xInt, yInt);
_root.createEmptyMovieClip("line", 1);
_root.line.lineStyle(2, 0x00FF00);
_root.line.moveTo(x1, y1);
_root.line.lineTo(xInt, yInt);
_root.line.lineTo(x2, y2);
_root.line.moveTo(x3, y3);
_root.line.lineTo(xInt, yInt);
_root.line.lineStyle(2, 0xFF0000);
_root.line.moveTo(x1, y1);
_root.line.lineTo(x2, y2);
_root.line.lineTo(x3, y3);
_root.line.lineTo(x1, y1);
_root.line.lineStyle(2, 0x0000FF);
_root.line.moveTo(xInt + radius, yInt);
for (var angle = 1 / radius; angle < 360; angle += 100 / radius) {
var drawX:Number = Math.cos(angle / 180 * Math.PI) * radius;
var drawY:Number = Math.sin(angle / 180 * Math.PI) * radius;
_root.line.lineTo(xInt + drawX, yInt + drawY);
}
}
circle(75, 50, 100, 150, 25, 125);

I cleaned it up with them there fancy "var" indentifiers that y'all love so much. try it with 3 dragging buttons to really understand it.

function scrambleMe(correct:String):String{
var broken:Array = correct.split(" ")
for (i=0; i<broken.length; i++){
broken[i] = broken[i].split("");
var scram:Array = [];
for (j=broken[i].length; j>0; j--){
var where:Number = int(Math.random()*broken[i].length);
scram.push(broken[i][where]);
broken[i].splice(where, 1);
}
broken[i] = scram
broken[i] = broken[i].join("");
}
return broken.join(" ");
}

USAGE:
trace(scrambleMe("-liam- is t3h s3cks"));
this will return a scrambled version of the text

At 11/4/05 06:39 PM, authorblues wrote: function scrambleMe(correct:String):String{

an alteration of the above:

function scrambleMe(correct:String, sepWord:Boolean):String{
var broken:Array = sepWord ? correct.split(" ") : new Array(correct);
for (i=0; i<broken.length; i++){
broken[i] = broken[i].split("");
var scram:Array = [];
for (j=broken[i].length; j>0; j--){
var where:Number = int(Math.random()*broken[i].length);
scram.push(broken[i][where]);
broken[i].splice(where, 1);
}
broken[i] = scram
broken[i] = broken[i].join("");
}
return broken.join(" ");
}

USAGE:

trace(scrambleMe("-liam- is t3h s3cks", false));
POSSIBLE OUTCOME: im--al si 3ht cs3ks

trace(scrambleMe("-liam- is t3h s3cks", trace));
POSSIBLE OUTCOME: -til3 ms c-is3akh s

At 11/4/05 01:46 PM, -liam- wrote:
The taylor series, hard hard maths =(

You guys. Freak me out.... :| I didnt even understand half of those math-terms.....

sticks to animating....

At 11/4/05 08:46 PM, GuntherSwanh wrote:

At 11/4/05 01:46 PM, -liam- wrote:
The taylor series, hard hard maths =(

You guys. Freak me out.... :| I didnt even understand half of those math-terms.....

sticks to animating....

i dont even know what that weird zigzaggy symbol is (looks like a mixture of both a 3 and a backwards E....) im accually really good in mathematics, but i just havent gone anywhere near stuff like that (i think)

switches to animating

At 11/4/05 08:58 PM, ImpotentBoy2 wrote: i dont even know what that weird zigzaggy symbol is (looks like a mixture of both a 3 and a backwards E....) im accually really good in mathematics, but i just havent gone anywhere near stuff like that (i think)

thats SIGMA: the summation notation. it means you add up all the values from 0 to infinity, or between whatever values are specified. its used in power series' and taylor notation. it can also be used for riemann sums, which are integral approximations.

very useful...

At 11/4/05 09:07 PM, authorblues wrote: thats SIGMA: the summation notation. it means you add up all the values from 0 to infinity, or between whatever values are specified. its used in power series' and taylor notation. it can also be used for riemann sums, which are integral approximations.

very useful...

so like an addition factoral, ok. there's still alot i need to learn on that page b4 i understand it

At 11/4/05 09:28 PM, ImpotentBoy2 wrote: so like an addition factoral, ok. there's still alot i need to learn on that page b4 i understand it

i dont fully understand taylor approximations, but it is a way to estimate complex functions. you can use it to turn trigonometric functions into rectangular functions (non-trigonometric)... thats where its power is...

so how did you learn this stuff, advanced math classes? i shouldve taken advanced maths, i could've, i would've, but i took remedial..... funny how that worked out. but seriously dude your my age and you seem to know alot more than me

At 11/4/05 09:50 PM, ImpotentBoy2 wrote: so how did you learn this stuff, advanced math classes? i shouldve taken advanced maths, i could've, i would've, but i took remedial..... funny how that worked out. but seriously dude your my age and you seem to know alot more than me

im in college. im a math major. im in the honors college. im taking spacial calculus with non-euclidian application. all those together, you learn some cool things along the way. we did taylor approximations so that we could learn to do all of our function evaluation without a calculator...

At 11/4/05 09:50 PM, ImpotentBoy2 wrote: so how did you learn this stuff, advanced math classes? i shouldve taken advanced maths, i could've, i would've, but i took remedial..... funny how that worked out. but seriously dude your my age and you seem to know alot more than me

internet - im 14 so obvisously i cant take any advanced maths class on complex numbers/ quaternions etc:

so far in my math class: (called emath for some reason)

there are 24 trig functions (sin cos tan, inverses, hyperbolics + inverse hyperbolics) + the sec,csc,cot versions

i have Gamma and Factorial (with an extra Boolean parameter for non integers - if true then the return is more accurate, but with the expense of a 810*(1/pow(x,6)) )

i have Binomial Coeffecient function ( nCr -> emath.C(n,r) ) which using the factorial can take fractional parameters (and once i get to complex math functions, will take complex numbers including negatives although i dont really no if it would work to find the coeffecients ive never tried)

i have roundTo, floorTo, ceilTo which just round the numbers to a certain dp (including negative dp's for things like the nearest 10)

i have alot of constants: Phi (1.618...) phi (1/Phi) G (gravitational constant) and g (1/gravitational constant), the sqrt's from 2 to 25, PI2 (PI*2), Deg and Rad (just the conversions for radians to degrees vice versa) inf and ninf (emath.inf = Number.POSITIVE_INFINITY)

Min and Max (which take 'n' number of parameters which can also be arrays of numbers)
emath.Min(1,4,[2,4,1],2,[2,3]) is acceptable

function for Fib(n) (fibonacci numbers)

isPrime(x);
isOdd(x);
isEven(x);
isInt(x) <- using round();

xlog(n,x) <- logarithm base x of n

and it extends Math so it still has all of their functions and constants

I've put all the functions we have so far into a Class (named Custom, for want of a better name).. you can find it here (thanks to IWantSomeCookies for filehosting). You must save it as a .as file though =P

Use it simply like so:

custom = new Custom();
custom.functionName(property1, property2, propertyN);
//for example
trace(custom.scramble(10));
//to show the credits:
trace(custom.showCredits());

=)

At 11/5/05 08:04 AM, -liam- wrote: custom = new Custom();

If you make them static functions you wont need that =)

At 11/5/05 08:19 AM, Rantzien wrote: If you make them static functions you wont need that =)

how do you manage that?

At 11/5/05 09:01 AM, authorblues wrote: how do you manage that?

nameofclass.functioninclass(functionparame
ters) basically =P so it's like:

trace(Custom.scrabble(10));

Which is how (for example) the Math class is done..

Math.round(number):Number - Math is the name of the class (and is been accessed directly) and round is a static function inside that class.