| Topic: |
Science > Physics |
| User: |
"" |
| Date: |
31 Jan 2008 12:05:53 PM |
| Object: |
Animation functions? |
I want to make some functions that take a floating point number [0-1]
and return an affected number, based on the input.
For example:
function accel(i) {
return i*i;
}
accel( .2 ); //0.04
accel( .5 ); // 0.25
accel( .8 ); // 0.64
accel( .99 ); // 0.998001
I want to make more of these, I want one that starts slow, speeds up,
then slows down.
My wife told me to use a sigmoid function. We checked Wikipedia but
we're not smart enough to figure it out:
http://en.wikipedia.org/wiki/Sigmoid_function
This page is almost understandable to me. I want to try and figure out
how to make a function that returns numbers liek that:
http://www.frams.alife.pl/a/al_simdetail.html
I don't undertstand the suscript numbers/letters
Velocity(t), where (t) is subscript.
What does that mean?
How can I write a sigmoid function or set of functions?
.
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| User: "Uncle Al" |
|
| Title: Re: Animation functions? |
31 Jan 2008 01:24:20 PM |
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|
wrote:
I want to make some functions that take a floating point number [0-1]
and return an affected number, based on the input.
For example:
function accel(i) {
return i*i;
}
accel( .2 ); //0.04
accel( .5 ); // 0.25
accel( .8 ); // 0.64
accel( .99 ); // 0.998001
I want to make more of these, I want one that starts slow, speeds up,
then slows down.
KISS,
[sin([0,1]x)], x = 180 degrees or pi radians
[sin([0,1]x)]^2, x = 180 degrees or pi radians for sharper
acceleration
sqrt{[sin([0,1]x)]}, x = 180 degrees or pi radians for gentler
accleration
If you need a *special* shape, sweat it out.
My wife told me to use a sigmoid function. We checked Wikipedia but
we're not smart enough to figure it out:
http://en.wikipedia.org/wiki/Sigmoid_function
This page is almost understandable to me. I want to try and figure out
how to make a function that returns numbers liek that:
http://www.frams.alife.pl/a/al_simdetail.html
I don't undertstand the suscript numbers/letters
Velocity(t), where (t) is subscript.
What does that mean?
How can I write a sigmoid function or set of functions?
--
Uncle Al
http://www.mazepath.com/uncleal/
(Toxic URL! Unsafe for children and most mammals)
http://www.mazepath.com/uncleal/lajos.htm#a2
.
|
|
|
| User: "dhtml" |
|
| Title: Re: Animation functions? |
31 Jan 2008 07:28:00 PM |
|
|
On Jan 31, 11:24 am, Uncle Al <Uncle...@hate.spam.net> wrote:
fitcal...@gmail.com wrote:
I want to make some functions that take a floating point number [0-1]
and return an affected number, based on the input.
For example:
function accel(i) {
return i*i;
}
accel( .2 ); //0.04
accel( .5 ); // 0.25
accel( .8 ); // 0.64
accel( .99 ); // 0.998001
I want to make more of these, I want one that starts slow, speeds up,
then slows down.
KISS,
[sin([0,1]x)], x = 180 degrees or pi radians
[sin([0,1]x)]^2, x = 180 degrees or pi radians for sharper
acceleration
sqrt{[sin([0,1]x)]}, x = 180 degrees or pi radians for gentler
accleration
How should I interpret that?
I know that |^| means "to the power of",
but I don't know:
[ ]
,
x
( )
{}
In programming, () are for grouping, {} is for a block of code and []
depends on the context its used in.
I dont know what the symbols are to indicate.
I really don't understand.
Thank you.
--
Uncle Alhttp://www.mazepath.com/uncleal/
(Toxic URL! Unsafe for children and most mammals)http://www.mazepath.com/uncleal/lajos.htm#a2
.
|
|
|
| User: "Uncle Al" |
|
| Title: Re: Animation functions? |
31 Jan 2008 08:28:23 PM |
|
|
dhtml wrote:
On Jan 31, 11:24 am, Uncle Al <Uncle...@hate.spam.net> wrote:
fitcal...@gmail.com wrote:
I want to make some functions that take a floating point number [0-1]
and return an affected number, based on the input.
For example:
function accel(i) {
return i*i;
}
accel( .2 ); //0.04
accel( .5 ); // 0.25
accel( .8 ); // 0.64
accel( .99 ); // 0.998001
I want to make more of these, I want one that starts slow, speeds up,
then slows down.
KISS,
[sin([0,1]x)], x = 180 degrees or pi radians
[sin([0,1]x)]^2, x = 180 degrees or pi radians for sharper
acceleration
sqrt{[sin([0,1]x)]}, x = 180 degrees or pi radians for gentler
accleration
How should I interpret that?
I know that |^| means "to the power of",
but I don't know:
[ ]
,
x
( )
{}
In programming, () are for grouping, {} is for a block of code and []
depends on the context its used in.
I dont know what the symbols are to indicate.
I really don't understand.
Insert the desired coefficient, between 0 and 1 inclusive, in front of
x.
x would be 90 or pi depending on how you like your trig functions.
--
Uncle Al
http://www.mazepath.com/uncleal/
(Toxic URL! Unsafe for children and most mammals)
http://www.mazepath.com/uncleal/lajos.htm#a2
.
|
|
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| User: "dhtml" |
|
| Title: Re: Animation functions? |
02 Feb 2008 12:55:26 AM |
|
|
On Jan 31, 6:28 pm, Uncle Al <Uncle...@hate.spam.net> wrote:
dhtml wrote:
On Jan 31, 11:24 am, Uncle Al <Uncle...@hate.spam.net> wrote:
fitcal...@gmail.com wrote:
I want to make some functions that take a floating point number [0-1]
and return an affected number, based on the input.
For example:
function accel(i) {
return i*i;
}
accel( .2 ); //0.04
accel( .5 ); // 0.25
accel( .8 ); // 0.64
accel( .99 ); // 0.998001
I want to make more of these, I want one that starts slow, speeds up,
then slows down.
KISS,
[sin([0,1]x)], x = 180 degrees or pi radians
[sin([0,1]x)]^2, x = 180 degrees or pi radians for sharper
acceleration
sqrt{[sin([0,1]x)]}, x = 180 degrees or pi radians for gentler
accleration
How should I interpret that?
I know that |^| means "to the power of",
but I don't know:
[ ]
,
x
( )
{}
In programming, () are for grouping, {} is for a block of code and []
depends on the context its used in.
I dont know what the symbols are to indicate.
I really don't understand.
Insert the desired coefficient, between 0 and 1 inclusive, in front of
x.
http://en.wikipedia.org/wiki/Coefficient
OK. I think I get it.
x would be 90 or pi depending on how you like your trig functions.
(Math.sin( 1 ) * Math.PI)
2.643559064081456
Math.pow((Math.sin( 1 ) * Math.PI), 2)
6.988404525287224
If 1 is input, 1 should be output, so that would end with the wrong
position. I want to modify the function so I can use it. Can you help
me understand the math?
thx
--
Uncle Alhttp://www.mazepath.com/uncleal/
(Toxic URL! Unsafe for children and most mammals)http://www.mazepath.com/uncleal/lajos.htm#a2
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