I'd like to have an envelope that would be like linseg, except that
instead of line segments between the sections it would translate and
scale a section of sinusoidal curve (like sin from -pi/4 to pi/4 or
sin^2 from 0 to pi/4), creating a curve that is smooth at all the join
points.

(I'd love to get a curve that's also continuous in the second
derivative, if there's some easy math I'm missing here; but I doubt
that would actually make audible difference.)

Any suggestions?

Forrest


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Of course I meant pi/2 wherever I said pi/4. Or, if you prefer, 90 degrees.

On Tue, Mar 29, 2011 at 2:11 PM, Forrest Cahoon
 wrote:
> I'd like to have an envelope that would be like linseg, except that
> instead of line segments between the sections it would translate and
> scale a section of sinusoidal curve (like sin from -pi/4 to pi/4 or
> sin^2 from 0 to pi/4), creating a curve that is smooth at all the join
> points.
>
> (I'd love to get a curve that's also continuous in the second
> derivative, if there's some easy math I'm missing here; but I doubt
> that would actually make audible difference.)
>
> Any suggestions?
>
> Forrest
>


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You can do this from the envelope editor in Surmulot; it will be 
eventually exported as a linseg, with arbitrary precision.

Surmulot is this:
http://www.zogotounga.net/surmulot/surmulot.html

Stef


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... forgot this link:

http://www.zogotounga.net/surmulot/doc/Envelope-editor.html#Envelope-editor

best,

Stef


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tabdes

> I'd like to have an envelope that would be like linseg, except that
> instead of line segments between the sections it would translate and
> scale a section of sinusoidal curve (like sin from -pi/4 to pi/4 or
> sin^2 from 0 to pi/4), creating a curve that is smooth at all the join
> points.
>
> (I'd love to get a curve that's also continuous in the second
> derivative, if there's some easy math I'm missing here; but I doubt
> that would actually make audible difference.)
>
> Any suggestions?
>
> Forrest
>
>
> Send bugs reports to the Sourceforge bug tracker
>             https://sourceforge.net/tracker/?group_id=81968&atid=564599
> Discussions of bugs and features can be posted here
> To unsubscribe, send email sympa@lists.bath.ac.uk with body "unsubscribe
> csound"
>
>
>
>




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To get literally what you are describing, you could do something like this:

ifn ftgenonce 0, 0, 8192, 10, 1
kenv1idx line 0, p3, 8192*(1/4)
kenv1 table3 kenv1idx+8192*(7/8), ifn, 0, 1
kenv2idx line 0, p3, 8192*(1/8)
kenv2raw table3 kenv2idx, ifn
kenv2 = kenv2raw^2



Forrest Cahoon wrote:
> I'd like to have an envelope that would be like linseg, except that
> instead of line segments between the sections it would translate and
> scale a section of sinusoidal curve (like sin from -pi/4 to pi/4 or
> sin^2 from 0 to pi/4), creating a curve that is smooth at all the join
> points.
> 
> (I'd love to get a curve that's also continuous in the second
> derivative, if there's some easy math I'm missing here; but I doubt
> that would actually make audible difference.)
> 
> Any suggestions?
> 
> Forrest
> 
> 
> Send bugs reports to the Sourceforge bug tracker
>             https://sourceforge.net/tracker/?group_id=81968&atid=564599
> Discussions of bugs and features can be posted here
> To unsubscribe, send email sympa@lists.bath.ac.uk with body "unsubscribe csound"
> 
> 



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Rereading, I think i misunderstood your question.

Gen 8 creates interpolated splines of breakpoint functions, like a curved version of linseg. I think this will get close to what you want.

ifn ftgenonce 0, 0, 8192, 8, 0, (8192/3), .7, (8192/6), 1, (8192/6), .7, (8192/3), 0
kenvidx line 0, p3, 8191
kenv table3 kenvidx, ifn

of course the envelope you want probably has more than 5 breakpoints etc.

Justin Glenn Smith wrote:
> To get literally what you are describing, you could do something like this:
> 
> ifn ftgenonce 0, 0, 8192, 10, 1
> kenv1idx line 0, p3, 8192*(1/4)
> kenv1 table3 kenv1idx+8192*(7/8), ifn, 0, 1
> kenv2idx line 0, p3, 8192*(1/8)
> kenv2raw table3 kenv2idx, ifn
> kenv2 = kenv2raw^2
> 
> 
> 
> Forrest Cahoon wrote:
>> I'd like to have an envelope that would be like linseg, except that
>> instead of line segments between the sections it would translate and
>> scale a section of sinusoidal curve (like sin from -pi/4 to pi/4 or
>> sin^2 from 0 to pi/4), creating a curve that is smooth at all the join
>> points.
>>
>> (I'd love to get a curve that's also continuous in the second
>> derivative, if there's some easy math I'm missing here; but I doubt
>> that would actually make audible difference.)
>>
>> Any suggestions?
>>
>> Forrest
>>
>>
>> Send bugs reports to the Sourceforge bug tracker
>>             https://sourceforge.net/tracker/?group_id=81968&atid=564599
>> Discussions of bugs and features can be posted here
>> To unsubscribe, send email sympa@lists.bath.ac.uk with body "unsubscribe csound"
>>
>>
> 
> 



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BTW, would it be possible to implement an envelope opcode corresponding to
GEN08? 

i mean, now we have:

GEN05 -> expseg
GEN07 -> linseg
GEN16 -> transeg

i for one would love to see something like "splineseg" or whatever other
name you find appropriate.

best,

lj


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Yes, maybe it could be implemented as a version of transeg where each
(specified) segment gets divided in two subsegments (internally in the
opcode). Each subsegment would then have the appropriate
convex/concave shape (+ shape for half the segment, and - shape for
the other half). The opcode could then have a "shape" argument, like
transeg.
This can also be done in Csound code with existing opcodes.
best
Oeyvind

2011/3/30 luis jure :
>
> BTW, would it be possible to implement an envelope opcode corresponding to
> GEN08?
>
> i mean, now we have:
>
> GEN05 -> expseg
> GEN07 -> linseg
> GEN16 -> transeg
>
> i for one would love to see something like "splineseg" or whatever other
> name you find appropriate.
>
> best,
>
> lj
>
>
> Send bugs reports to the Sourceforge bug tracker
>            https://sourceforge.net/tracker/?group_id=81968&atid=564599
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>
>


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on 2011-03-30 at 08:19 Oeyvind Brandtsegg wrote:

>Yes, maybe it could be implemented as a version of transeg where each
>(specified) segment gets divided in two subsegments (internally in the
>opcode). Each subsegment would then have the appropriate
>convex/concave shape (+ shape for half the segment, and - shape for
>the other half). The opcode could then have a "shape" argument, like
>transeg.
>This can also be done in Csound code with existing opcodes.

yes, i do by hand something like you describe using transeg. not very
practical, and i don't think the result is a real spline, is it?

it just occurred to me that, since part of the code is ready in GEN08, it
might not be very difficult to implement the corresponding ocpode.


best,

lj


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attached is a csd with UDOs for splinsegk and splinsega, which use the same arguments as linseg (as demonstrated in the csd)
the current versions accept up to 13 breakpoints, the method for increasing that number should be clear (though tedious).

----- Original message -----
>
> on 2011-03-30 at 08:19 Oeyvind Brandtsegg wrote:
>
> > Yes, maybe it could be implemented as a version of transeg where each
> > (specified) segment gets divided in two subsegments (internally in the
> > opcode). Each subsegment would then have the appropriate
> > convex/concave shape (+ shape for half the segment, and - shape for
> > the other half). The opcode could then have a "shape" argument, like
> > transeg.
> > This can also be done in Csound code with existing opcodes.
>
> yes, i do by hand something like you describe using transeg. not very
> practical, and i don't think the result is a real spline, is it?
>
> it just occurred to me that, since part of the code is ready in GEN08, it
> might not be very difficult to implement the corresponding ocpode.
>
>
> best,
>
> lj
>
>
> Send bugs reports to the Sourceforge bug tracker
>                        https://sourceforge.net/tracker/?group_id=81968&atid=564599
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> csound"
>

update to my prior, I sent the wrong version before
luis jure wrote:
> on 2011-03-30 at 08:19 Oeyvind Brandtsegg wrote:
> 
>> Yes, maybe it could be implemented as a version of transeg where each
>> (specified) segment gets divided in two subsegments (internally in the
>> opcode). Each subsegment would then have the appropriate
>> convex/concave shape (+ shape for half the segment, and - shape for
>> the other half). The opcode could then have a "shape" argument, like
>> transeg.
>> This can also be done in Csound code with existing opcodes.
> 
> yes, i do by hand something like you describe using transeg. not very
> practical, and i don't think the result is a real spline, is it?
> 
> it just occurred to me that, since part of the code is ready in GEN08, it
> might not be very difficult to implement the corresponding ocpode.
> 
> 
> best,
> 
> lj
> 
> 
> Send bugs reports to the Sourceforge bug tracker
>             https://sourceforge.net/tracker/?group_id=81968&atid=564599
> Discussions of bugs and features can be posted here
> To unsubscribe, send email sympa@lists.bath.ac.uk with body "unsubscribe csound"
> 
> 


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