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Archive: Tips&Tricks in AVS
Tuggummi
18th November 2002 17:36 UTC
Tips&Tricks in AVS
As i have made avs for 2 years now, i really don't know much about how to do things differently.
Confused?
Read more.
As Advanced Visualization Studio is a highly customizable visualization plugin/component there are usually many ways to do simple things. And when it comes to coding your own superscopes and dynamic movements there are several different ways to make things, like in the dynamic movement using rectangular coordinates rather than polar coordinates to create the exactly same effect.
Sometimes if you do things differently you may gain some priviledges, like better frame rates or the benefits of using a different coordinate system. Also when you use the built-in functions differently you may get faster&better results than doing the same thing with different effects.
EXAMPLE
Creating a rotoblitter effect in movement with both polar- & rectangular coordinates.
Polar
r=r+0.1
BENEFITS:
Simple, easy and a fast way.
Rectangular
x=x+y*0.1 ;
y=y-x*0.1
BENEFITS:
You can shift it around the screen which can't be done in polar coordinates.
These helpful speed up tricks and better quality tips are scattered all over the forum, so what im asking here is to collect all those helpful notes into a single forum post, this post.
So feel free to post your ideas and comments how something that is frequently used can be done faster&better, this is all for the common good and will surely help us all as we are always searching a alternative way to make presets.
And please remember that, althought the most tips consider coding there is still many different ways to use the built-in effects differently and still get the same effect. If you have discovered a clever way of using example: Trans / Water , you can post it here so it will help other avs artists as well.
Hope you all understanded the point of this post and hope that you all contribute as much as you can ;)
dirkdeftly
19th November 2002 04:11 UTC
Rotoblitter in polar:
r=r+spin;
d=d*(zoom+1);
Rotoblitter in rectangular:
x1=x; zoom2=zoom+1;
x=x*zoom2+y*spin;
y=y*zoom2+x1*spin;
Just a bit of a fix by your friendly local anal retentive AVSer... ;)
Jaheckelsafar
19th November 2002 04:28 UTC
2 ways of shifting values, not sure which is executed faster:
value = value * (1-speed) + target * speed;
or
value = value + (taget - value) * speed;
Zevensoft
19th November 2002 06:45 UTC
No order targeting:
value = target
First order targeting:
value = (value + target * speed) / (speed + 1)
Linear Interpolation:
value = value1 * position + value2 * (1-position)
Bilinear Interpolation:
value12 = value1 * posx + value2 * (1-posx)
value34 = value3 * posx + value4 * (1-posx)
value = value12 * posy + value34 * (1-posy)
Trilinear Interpolation:
value12 = value1 * posx + value2 * (1-posx)
value34 = value3 * posx + value4 * (1-posx)
value56 = value5 * posx + value6 * (1-posx)
value78 = value7 * posx + value8 * (1-posx)
value1234 = value12 * posy + value34 * (1-posy)
value5678 = value56 * posy + value78 * (1-posy)
value = value1234 * posz + value5678 * (1-posz)
mikm
20th November 2002 01:18 UTC
Two questions...
First order targeting is increasing a value by increments (speed), until it reaches target, right?
What is (bi/tri)linear interpolation?
UnConeD
20th November 2002 02:54 UTC
Bilinear is interpolation linearly in 2D... like zooming on a picture, but instead of blocky pixels you get a blurry, smooth texture.
Trilinear is interpolation linearly in 3D. It's commonly used to interpolate bilinearly between textures and linearly between an MIP-maps on a 3D card.
Tuggummi
20th November 2002 08:06 UTC
What i would like to know is: What is the fastest way to create a fullscreen gradient? I have used this method:
1 single ssc line
INIT: n=2
PER POINT: x=i*2-1 ; y=1
1 movement with rect coords (bilinear filtering on)
y=y-0.0x
It could also be done by using a gradient line and then using a movement with x=0.
Which way is faster? Or is there even a faster way to do it?
Thanks :)
uNDefineD
20th November 2002 09:05 UTC
Tug: in his HiRes pack that came with J7, jheriko used a vertical line, and a static movement with r=0. Looks awesome.
Tuggummi
20th November 2002 09:35 UTC
uNDefineD, it creates a conical gradient, right?
Different gradients:
Linear:
1 SuperScope
Init:
n=100 (the more numpoints the more accurate gradient)
Per Point:
x=i*2-1 ;
y=0 ;
col=i ;
blue=col ; red=col ; green=col
1 Movement
Rect Coords ON
Bilinear Filtering ON/OFF (not absolutly necessary, it looks ok even without it)
Code:
y=0
Radial:
1 SuperScope
Same as in Linear
1 Movement
Rect Coords ON
Bilinear Filtering ON
Code:
y=0 ;
x=d
Im not sure how the conical gradient is done, but i guess it's just using the r=0 movement and then using a color code in a superscope like col=sin(i*pi). I don't have avs right now so i can't check did i get those other two right, so ill edit this post tomorrow (at 8:XXam gmt +2).
Zevensoft
20th November 2002 10:48 UTC
:rolleyes:
Look in my 3rd pack (desert sunset) to see how to do fullscreen gradients in 1 scope.
Tuggummi
20th November 2002 12:06 UTC
Well yes you can use just one superscope, but to fill the entire screen with just one superscope requires a big numpoint number and the bigger the resolution the more numpoints and more slower it is. With the scope and the movement technique the numpoint number always stays the same and still the whole screen gets filled with the gradient.
There for the movement and ssc technique is a lot faster than using one BIG ssc.
nixa
20th November 2002 18:00 UTC
the fastest way I know to make a gradient is:
scope:
n=w*detail; < whith deatil going from 2/w to 1 >
x=x*2-1;y=0;
red=blabla;green=blablabla;green=blabla;
movement:
x=0;
Nic01
21st November 2002 00:42 UTC
GRADIENTS :
Note : "v" stands for variable (Replace with something), and it will be number-tagged. Red/green/blue is to be coded yourself.
Vertical, Horizontal, and Radial gradients already mentioned. Remember, you can always use another D/M to morph the gradient into one desired.
Fullscreen Gradients :
Horizontal gradient (Colors cycling left-right) :
x=-1+i*2;
v1=bnot(v1) OR v1=1-v1
y=v1*2-1;
Vertical : Exchange x and y.
Polar : You'll need dot-grid and colorcode it... Too slow.
-You can combine Hor. and Ver. Gradients to make combinations. Experiment with render modes.
Cheap fullscreen combo gradient :
Use 2 lines, perpendicular, use a good linewidth (30-50 should do it), then use a movement to fill the screen. (Technique from several of UnConeD's presets) (Is it copyrighted? :p)
Dot-Grid :
http://forums.winamp.com/showthread....threadid=83695 - But I'll post the code here for convenience. The one here have edited variables to signify the new variables.
FRAME :
v1=w+1; v2=h+1; n=v1*v2; v3=0; v4=0; v5=1/ww; v6=1/hh;
POINT :
x=v3*v5*2-1; y=v4*v6*2-1;
v3=if(above(v3+1,v1),0,v3+1);
v4=if(v3,v4,v4+1);
--
But of course, that will be goddamn slow. You can always reduce the amount of points and manipulate the size to conform with the screen.
In colorcoding, use x and y, i won't work well. Additional tips are in the original page.
Examples : El-Vis - I Cannot Dance, Carry Me Home, Lucy In The Sky With Diamonds, and some others.
It's quite slow, but is the most versatile, providing you use the right effects. You can also use convolution filter to make the pixels bigger and make a pixel-doubled effect.
--
All I can think for now... I think there are more ways...
Tuggummi
21st November 2002 06:18 UTC
DOH! I thought the edit time was 3 days :p (i don't remember where i heard that but it was somewhere around these forums, oh well...)
Ok Here we go again!
Gradients
Linear
Ssc
Init:
n=255
Per Point:
x=i*2-1 ;
y=0 ;
col=i ;
red=col ; green=col ; blue=col
Movement
Bilinear Filtering OFF
Rect Coords ON
Code:
y=0
Radial
Ssc
Same as in Linear
Movement
Bilinear Filtering OFF
Rect Coords ON
Code:
y=0 ;
x=-d*1.5+0.5
Rectangular
Ssc
Init:
n=255 ; pi=acos(-1)
Per Point:
x=i*2-1 ;
y=0 ;
col=sin(i*pi) ;
red=col ; green=col ; blue=col
2 Movements
1st
Bilinear Filtering OFF
Rect Coords ON
Code:
y=0
2nd
Bilinear Filtering OFF
Rect Coords ON
Code:
x=-if(above(y*y,x*x),y*y,x*x)*1.75+0.75 ;
Conical
Ssc
Same as in Rectangular
2 Movements
1st
Bilinear Filtering OFF
Rect Coords ON
Code:
y=0
2nd
Bilinear Filtering ON
Rect Coords OFF
Code:
r=((r-1.25)*1.25)*0.35 ;
d=r
This time i actually made them, so they now work right. If you have trouble understanding code, or are just lazy download these example presets i made. Includes all the 4 gradients and a "real" preset i made in about 10 minutes that uses a "Dynamic-Gradient-Utone" :p
jheriko
21st November 2002 21:32 UTC
Here are some code tips for you. :)
Optimise everything. Higher FPS makes your presets a lot nicer. Here are some examples:
3D transformation
x=x1/z1;
y=y1/z1;
can be made faster by using:
z1=1/z1;
x=x1*z1;
y=y1*z1;
using trig in conjunction with a timer can be made faster too:
on beat:
drx=0.2*getosc(0.2,0.2,0);
per frame:
rx=rx+drx;crx=cos(rx);
per pixel:
x=crx;
y=0;
Using this sort of thing a lot can make your code faster. :)
dirkdeftly
22nd November 2002 00:36 UTC
3D transformation is:
Xp=Xc/Zc;
Yp=Yc/Zc;
where Xc (x-coordinate) and Yc are any numbers, positive or negative, and Zc is positive.
For a 3D object centered at the origin (0,0,0), use this formula:
Xp=Xc/(Zc+sqrt(mD));
Yp=Yc/(Zc+sqrt(mD));
where mD (maximum distance) is the largest distance from the origin to a point on the object.
Rotation around any point, line, plane, solid, etc:
Ar=Ac*sin(theta)+Bc*cos(theta);
Br=Ac*cos(theta)-Bc*sin(theta);
where A and B are the axes defining the plane perpendicular to the axial point/line/plane/solid etc. To find the perpendicular plane, simply use the 2 axes you do not use to define the axial object.
nixa
22nd November 2002 14:48 UTC
Quote:
Rotation around any point, line, plane, solid, etc:
Ar=Ac*sin(theta)+Bc*cos(theta);
Br=Ac*cos(theta)-Bc*sin(theta);
where A and B are the axes defining the plane perpendicular to the
axial point/line/plane/solid etc. To find the perpendicular plane,
simply use the 2 axes you do not use to define the axial object.
Another way to do this(slower way) is:
d=sqrt(Ac*Ac+Bc*Bc);r=atan2(Ac,Bc)+theta;
Ar=sin(r)*d;Br=cos(r)*d;
dirkdeftly
22nd November 2002 17:29 UTC
It's a whole lot slower, and it's much easier on AVS to use the rotation matrix
jheriko
25th November 2002 00:23 UTC
That and you can optimise the rotation matrix if your not using it for a parameterisation or something else where the rotations change for every point.
Tuggummi
26th November 2002 08:06 UTC
I have a kind of a problem, I have used a static background/texture for a movement with bunch of effects. I have made it by putting all the effects inside a effectlist with ignore/replace and on beat active 1 frame. Then i have used a custom bpm set to 30bpm and put both of them inside another effect list with ignore/replace. It now takes about 1-3 seconds to start, but the fps is much higher since it doesn't have to render the texture all the time. This solution works fine, but what im asking is: Is there a even better way doing this? If you use avs effects to create a static background is there a way to only "render" it once? Or how i activate it right at the begin of a song?
Hope you understand :igor:
nixa
26th November 2002 10:08 UTC
Tuggummi: I think there isnt any better way. I had the same problem some time ago and only thing I learned is how limited effect custom bmp is. Atero posted something at the whishlist about a user defined custom bmp so we can only wait for the next avs.
dirkdeftly
26th November 2002 17:45 UTC
You could just use Custom BPM and set it to skip as many beats as possible, then set First Skip to 1.
mikm
26th November 2002 22:39 UTC
3D SSC
Here is a wonderful guide to AVS written by El-vis that was posted a while ago. It gives code to create a superscope in 3D, rotate in along and move it along the x, y, and z axis (what's the spelling for the plural of axis?)
UnConeD
26th November 2002 23:45 UTC
I think it's 'axes'.
dirkdeftly
27th November 2002 02:42 UTC
A better 3D code system:
init: zs=sqrt(... *)
frame:
rx=rx+drx; ry=ry+dry; rz=rz+drz; cx=cos(x); sx=sin(x); cy=cos(y); sy=sin(y); cz=cos(z); sz=sin(z);
pixel:
... *
x2=x1*sz+y1*cz; y2=x1*cz-y1*sz;
x3=x2*sy+z1*cy; z2=x2*cy-z1*sy;
y3=y2*sx+z2*cx; z3=1/(y2*cx-z2*sx+zs);
x=x3*z3; y=y3*z3;
* This should be the maximum distance from the center to a point on your scope, multiplied by 2. For a unit sphere, use the radius of the sphere multiplied by 2.
** x1, y1, and z1 are the coordinates for your shape, and should be put here.
rx, ry, and rz are the angles of rotation around the x, y, and z axes, respectively. These angles are in radians (one radian = 180/pi degrees)
A good place to define these values is in the beat section of the scope, e.g.:
rx=rand(100)/1000-0.05; ry=rand(100)/1000-0.05; rz=rand(100)/1000-0.05;
blazer1504
27th November 2002 08:53 UTC
Don't kill me for this, but you're just pathetic. You're stressing your head dozens of priceless minutes. And for what ?! For saving about 0.0001 fps with using a different method !?
Don't get me wrong. I'm sure that these tips comes in handy for n00bs and if there's alot to be optimized, but these tips.... It's like thinking how could you put the wires to your electric toothbrush from car, so that you could recharge the battery with it, so it wouldn't see in electric bill...
Tuggummi
27th November 2002 09:41 UTC
Dear Degnic...
1) Are you talking to everyone who has replied to this forum or to one person and if, who?
2) The faster the presets run the more enjoyable they are, besides it's more than just 0.<insert ridiculous large ammount of zeros>1 frames, example the gradients work a lot faster when you use different methods. And the static texture for a 3D movement or likes saves up huge ammount of fps if it is only rendered once per N beats. I made a preset with the static texture and the framerate difference between render-per-N-beat and render-all-the-time is incredibly huge, on my 266mhz pentium it was about 8 fps.
3) Everything & Anything can & should be optimized. Or do you draw a static single colored ssc line with 800 numpoints when just 2 will do?
4) Last, but not least, this thread was about people sharing their ways of doing things. Someone have might used some method for months/years never knowing that it could be done better&faster.
If you don't like people giving you helpful advice, buzz off. But by the looks, you are the one who should seriously learn how to do things faster.
Have a nice day.
Jaheckelsafar
27th November 2002 15:23 UTC
I've done #3.
It almost got out, then Unconed saw it and I fived it.
It sped up the preset a lot.
nixa
27th November 2002 19:25 UTC
This is a trick that can save more than 100% fps.
When you need more sinchronised scopes shaped the same you can make a counter and copy this scope to several locations.
Example:
init:
n=500
frame:
t=t-0.05;u=0;
point:
u=u+1;u1=u%5;
d=i/5;r=t+i*3.14159*4;x=cos(r)*d;y=sin(r)*d+(u1+0.5)/5*2-1;
This will create 1 spiral scope and place it at u1/5*2-1 locations, u is a counter and equals the value of a point, u1 equals:
0 for u being 5,10,15,20,...
1 for u being 6,11,16,21,...
2 for u being 7,12,...
3 for u being 8,13,...
4 for u being 9,14,...
For a more complex use of this see the attachment. The preset calculates the whole 3D rotation thing, music responce and scope shape only once for all of the cn(6) columns.
Sorry for the shity explenation but i find it hard to express myself in english. :(
dirkdeftly
27th November 2002 19:29 UTC
My (and most everyone who doesn't depend on El-Vis's engine) 3D code is several FPS faster than El-Vis's, and it's a whole lot more user friendly. Also, for those who didn't know: using zs=sqrt(maxdistance) projects the object so it is always inside the window. To find the maximum distance from the center of any object to a point on the object, use this method: For any variables (e.g. i and v), assume they are as high as they can go (e.g. i=1, v=1). Then simplify all your calculations. For example:
(tpi=acos(-1)*2=2*pi)
r=i*tpi;
x1=sin(r); y1=cos(r); z1=v/4;
r=1*tpi=tpi;
x1=sin(tpi)=0; y1=cos(tpi)=1; z1=1/4=0.25;
Now, find maxdistance like this:
sqrt(x1*x1+y1*y1+z1*z1)=sqrt(0*0+1*1+0.25*0.25)=sqrt(1.125)
So for the example scope, zs should equal sqrt(sqrt(1.125)*2)=pow(4.5,0.25).
If you want the scope to be slightly inside the frame, use a higher zs. If you want it to be slightly outside the frame, use a lower zs.
Zevensoft
27th November 2002 22:56 UTC
Here's the engine I created for Matrix_Reality.
Dynamic Movement:
Init
js=.002;pi=acos(-1);pitch=0;yaw=0;density=.33;
Frame
j=if(above(j,1),-1+js*2,j+js);
ox=cos(j*pi)*.125;oy=sin(j*pi)*.5;oz=j*3.5;
ys=yaw;yaw=cos(j*pi)*.125;
roll=(roll*5-ys*5)*.0125;pitch=sin(j*pi)*.125;
pitch=if(above(abs(pitch),.5),sign(pitch)*.5,pitch);
cy=cos(yaw*pi);cx=cos(pitch*pi);cz=cos(roll*pi);
sy=sin(yaw*pi);sx=sin(pitch*pi);sz=sin(roll*pi);
Point
dx=x;dy=y;dz=1;
tx=dx*cy-dz*sy;tz=dz*cy+dx*sy;
ty=dy*cx-tz*sx;dz=tz*cx+dy*sx;
dx=tx*cz-ty*sz;dy=ty*cz+tx*sz;
kx=if(above(dx,0),abs((ox-1)/dx),abs((ox+1)/dx));
ky=if(above(dy,0),abs((oy-1)/dy),abs((oy+1)/dy));
kz=if(above(dz,0),abs((oz-4)/dz),abs((oz+4)/dz));
k=min(min(kx,ky),kz);
utx=oz+dz*kx;uty=oy+dy*kx;utz=ox+dx*kx;
vtx=ox+dx*ky;vty=oz+dz*ky;vtz=oy+dy*ky;
wtx=ox+dx*kz;wty=oy+dy*kz;wtz=oz+dz*kz;
x=if(equal(k,kz),wtx,if(equal(k,kx),utx,vtx));
y=if(equal(k,kz),wty,if(equal(k,kx),uty,-vty));
alpha=(1/pow(2.71828,sqr(k*density)))*(1-abs(pow(j,5)));
Blend:On | Bilinear:On | Wrap:On | RectCoord:On
----------------
Superscope.
Init
n=200;js=.002;pi=acos(-1);pitch=0;yaw=0;density=.33;bp=.5;
Frame
bp=if(above(bp,-4),bp+.1,if(above(getspec(.1,.1,0),.25),-3.9,bp));bp=if(above(bp,8),-4,bp);
by=if(above(bp,4),by*1.1,.05);
ox=cos(j*pi)*.125;
oy=sin(j*pi)*.5;
oz=j*3.5;
sy=sin(-yaw*pi);
sx=sin(-pitch*pi);
sz=sin(-roll*pi);
cy=cos(-yaw*pi);
cx=cos(-pitch*pi);
cz=cos(-roll*pi);
pitch=if(above(abs(pitch),.5),sign(pitch)*.5,pitch);
roll=(roll*5-ys*5)*.0125;
pitch=sin(j*pi)*.125;
ys=yaw;yaw=cos(j*pi)*.125;
j=if(above(j,1),-1+js*2,j+js);
Point
dx=cos(i*pi*20)*.01-ox;
dy=sin(i*pi*20)*.01-oy+by-.05;
dz=i*.05-oz+if(above(bp,4),4,3+(1-pow(1-(bp+4)*.125,3)*8))*.35;
tx=dx*cz-dy*sz;ty=dy*cz+dx*sz;
dy=ty*cx-dz*sx;tz=dz*cx+ty*sx;
dx=tx*cy-tz*sy;dz=tz*cy+tx*sy;
a=if(above(bp,-4),(1/pow(2.71828,sqr(dz*density))),0);
red=if(below(dz,.1),0,1)*a;
green=red;
blue=0;
k=1/if(equal(dz,0),1,dz);
x=dx*k;y=dy*k;
Draw: Lines
-------------------
The above is the room and a bullet from my Matrix_Reality preset. Here is a basic description of variables:
- ox,oy,oz = Camera Position
- pitch,roll,yaw = Camera Rotation Angles
- density = Fog Density (Exponential Squared)
- j = Synchronization Variable (js = timing speed)
It limits the pitch to +/-.5 (Vertical) so there aren't any gimble situations, and automatic roll is created for changes in yaw.
UnConeD
27th November 2002 23:51 UTC
If you want to post long pieces of code, use <font=courier>...</font> (replace <> with square brackets) to prevent from stretching the page.
dirkdeftly
28th November 2002 07:01 UTC
Don't forget your manners, UnConeD
PLEASE USE COURIER!!!
blazer1504
28th November 2002 08:58 UTC
No tug, you got me wrong. I'm not saying that every tip in this thread are total bullshit, but what I am saying is that this thread shouldn't be filled with codes / tips (and posts like this ;) ) that doesn't affect to fps rate "efficiently" . I tried some of these and I really couldn't see any fps difference between code A and code B. If some method saves alot fps compared to the others, yeah it's good to be mentioned, but if it saves only like 0.1 fps you think that this thread should be filled with codes/tips like these ?? :P
And what comes to my presets. Usually the use of complex colors makes the preset slow. And colors aren't just that easy to optimize. Of course I always try to erase things you don't necessarily need & try to make it as fast as possible, but sometimes you just can't make it any faster without radical changes. Sure I can replace all those tricky colors with a Utone or two for some real boost up, but that's just not me....
dirkdeftly
29th November 2002 06:30 UTC
Okay, just a tip...as long as we're on this page of
the thread, try just typing in your carriage returns
like this...
Anyway, just one thing to remember as AVSers: Any god
damned thing is possible in AVS once you put your
mind to it. Trust me, if I didn't keep telling
myself this, I wouldn't be doing any of what I've
been doing (i.e. 4D, life algorithms, etc.) I'd bet
money that Jheriko's been having to reasure himself
of this a lot for some of his scopes lately ;) My
point is, you shouldn't just give up because you think
it can't be done. That's not a good reason. Give up
because you're lazy, or because you need to clip your
toenails, or for something important like that.
Jaheckelsafar
29th November 2002 14:48 UTC
Here's a simple one that I'm sue everyone here knows. Might help a
noob though. (that is kinda what this thread was intended to do, right?)
sin, cos, and tan are all calculated from the radian value.
This means the wavs have a period of 2*PI.
sin(3.141) = sin(3.141) = sin(6.282) = 0
sin (3.141/2) = 1
sin (3.141*3/2) = -1
jheriko
2nd December 2002 21:18 UTC
Originally posted by Atero
I'd bet money that Jheriko's been having
to reasure himself of this a lot for some
of his scopes lately
That is true.
I still have ideas that I'm forcing myself
into doing right now, the coolest AVS i've
made haven't been released yet because they
don't work properly, but like atero said,
anything is possible so I never give up on
them, I just keep working on them in the
background. Like that sonic battlefield from
pack VI, I'm still working on that on and off.
The point is never to give up, force yourself
through to the end. Thats more general life
advice though.
Here is something more useful though; I'm certain
that a lot of you out there know exactly what you
want to do in AVS but have no idea about what
sort of maths you need to do it. I'm also certain
that there are a lot of mathematical methods
that would be useful for AVS if we knew about them.
Personally I think that maths is pretty important
for AVS (the technical side at least) so if you
have any maths questions my tip would be to check
this cool page that I found, or alternatively send
me some mail. I'm not going to pretend to know
everything about maths but I have a lot of knowledge
and a lot of textbooks too. :)
jheriko@ntlworld.com
EDIT: Here are some trig identities to add to Jaheckelsafar's list, these will probably all have some applications in AVS, don't ask me what though:
cos(pi/4) = sin(pi/4) = 1/sqrt(2)
cos(pi/6) = sin(pi/3) = sqrt(3)/2
cos(pi/3) = sin(pi/6) = 1/2
(sin(x))^2+(cos(x))^2 = 1
cos(x) = sin(x+pi/2)
cos(-x) = cos(x)
sin(-x) = -sin(x)
tan(x) = sin(x)/cos(x)
cot(x) = 1/tan(x) = cos(x)/sin(x)
sec(x) = 1/cos(x)
csc(x) = 1/sin(x)
sin(x+y) = cos(x)sin(y)+sin(x)cos(y)
sin(x-y) = cos(x)sin(y)-sin(x)cos(y)
cos(x+y) = cos(x)cos(y)-sin(x)sin(y)
cos(x-y) = cos(x)cos(y)+sin(x)sin(y)
sin(2x) = 2sin(x)cos(x)
cos(2x) = 2(cos(x))^2-1
cos(2x) = 1-2(sin(x))^2
cos(3x) = 4(cos(x))^3-3cos(x)
sin(3x) = 3sin(x)-4(sin(x))^3
There are a ton more things like this, identities
for cos(ax) and sin(ax) for instance, but I can't
remember them all off of the top of my head. :p
dirkdeftly
3rd December 2002 07:31 UTC
Damn...NOW I know why my trig teacher wanted me to memorize identities. She didn't show me the USEFUL ones.....
VisualAgnosia
3rd December 2002 12:16 UTC
Hey there,
I was wanting to ask, (I've spent the last week going throught the forums) If some one could give me a running example purley for reference how to create a plane in 3D SSC and effect it with this function
z=x*e^(-x^2-y^2)
I use a 3d ploting program that I'm used to and enter this
plot3d(x*exp(-x^2-y^2), x=-2..2 y=-2..2)
works fine .. You should see the triped stuff I'm getting "TRYING to emulate this to AVS.. I've totaly forgot how to rearange the "e" with log and I got paper and shit all over my desk and room. ahhhhhhhhh where's my text books... I'm also giving up smoking 3 days now.
z being the third axis of course, e is the exponent and ^ is to the power. Because I'm used to this program alot I tend to have blunders converting to AVS. Gimme a couple of weeks tho no probs but hey I'm always looking to learn quicker from some experienced bruzza'z.
If anyone feeling Crwayzie mabey give z=cos(x)*sin(y) a try and show us. I feel that if I see an example of something I've done I might be able to bridge the gap faster.
:weird:
P.s. I's it just me or does anyone here alos go to sleep and end up dreaming about Freakin' equation's accompanied by some major tripped lighting visual dreams.... waaaaaaah. sheeesh If only I could remember what code I was dreaming I might be able to pull something awsome out of my subconcious ... I guess the best thing to say here is ...
Keep Dreaming
Rez---pec-t..
The VIzAG:igor:
dirkdeftly
3rd December 2002 19:46 UTC
here's an idea: do your own work instead of expecting us to do it for you.