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From: dave vanhorn
Subject: Twist an isosurface
Date: 19 Dec 2006 00:03:17
Message: <45877295$1@news.povray.org>
Is there any way to apply a linear twist to an isosurface?

What I'm after is to twist the heart iso, by about 30 degrees, (+/- 15) 
along the Y axis.


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From: "Jérôme M. Berger"
Subject: Re: Twist an isosurface
Date: 19 Dec 2006 03:26:08
Message: <4587a220$1@news.povray.org>
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dave vanhorn wrote:
> Is there any way to apply a linear twist to an isosurface?
> 
> What I'm after is to twist the heart iso, by about 30 degrees, (+/- 15) 
> along the Y axis.
> 
> 
	Replace x by (x * cos (f (y)) + z * sin (f (y))
	Replace z by (-x * sin (f (y)) + z * cos (f (y))

	Where f is a function that defines the way you want the surface to
twist (the simplest being K*y for some constant K).

		Jerome
- --
+------------------------- Jerome M. BERGER ---------------------+
|    mailto:jeb### [at] freefr      | ICQ:    238062172            |
|    http://jeberger.free.fr/     | Jabber: jeb### [at] jabberfr   |
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From: Warp
Subject: Re: Twist an isosurface
Date: 19 Dec 2006 03:54:00
Message: <4587a8a8@news.povray.org>

>         Replace x by (x * cos (f (y)) + z * sin (f (y))
>         Replace z by (-x * sin (f (y)) + z * cos (f (y))

  Instead of replacing them, wouldn't it be simpler to call the function
with those parameters?

-- 
                                                          - Warp


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From: dave vanhorn
Subject: Re: Twist an isosurface
Date: 19 Dec 2006 20:22:09
Message: <45889041$1@news.povray.org>
#ifndef (SolidHeart)
    #ifndef (TwistHeart)
     // Original untwisted version
     #declare Heart_Function = function { f_torus 
(y-pow(abs(x),Sharpness)*Bend, z*1, x, 0.8,0.1) }
    #else
      //Twisted version
      #declare K = 1; //Not sure where to set this yet, try 1.0
      #declare f = function {K*y}
      #declare Twist_x = function(x,y,z,f) //<-- Errors here with "expected 
parameter identifier, function identifier found instead"
                         {x * cos (f (y)) + z * sin (f (y))}

      #declare Twist_z = function(x,y,z,f)
                         {(-x * sin (f (y)) + z * cos (f (y))}

      #declare Heart_Function = function { f_torus (y-pow(abs(x * cos (f 
(y)) + z * sin (f (y))),Sharpness)*Bend,
                                                   (-x * sin (f (y)) + z * 
cos (f (y))*1),
                                                   (x * cos (f (y)) + z * 
sin (f (y))),
                                                   0.8,0.1) }
    #end
  #else
    #declare Heart_Function = function { f_sphere 
(y-pow(abs(x),Sharpness)*Bend, z*2, x, 0.6    ) }
  #end


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From: "Jérôme M. Berger"
Subject: Re: Twist an isosurface
Date: 20 Dec 2006 07:07:09
Message: <4589276d$1@news.povray.org>
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dave vanhorn wrote:
>       #declare Twist_x = function(x,y,z,f) //<-- Errors here with "expected 
> parameter identifier, function identifier found instead"

	Replace this line with:
#declare Twist_x = function(x, y, z)

	You can't pass a function identifier as a parameter to another
function, but you don't need to to be able to call it (huh, does
that sentence make sense?).

		Jerome
- --
+------------------------- Jerome M. BERGER ---------------------+
|    mailto:jeb### [at] freefr      | ICQ:    238062172            |
|    http://jeberger.free.fr/     | Jabber: jeb### [at] jabberfr   |
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From: dave vanhorn
Subject: Re: Twist an isosurface
Date: 20 Dec 2006 09:29:09
Message: <458948b5$1@news.povray.org>
> Replace this line with:
> #declare Twist_x = function(x, y, z)
>
> You can't pass a function identifier as a parameter to another
> function, but you don't need to to be able to call it (huh, does
> that sentence make sense?).

I guess not :)  I'm still lost.  Here's the current implementation


  #ifndef (SolidHeart)
    #ifndef (TwistHeart)
      #declare Heart_Function = function { f_torus 
(y-pow(abs(x),Sharpness)*Bend, z*1, x, 0.8,0.1) }
    #else
      #declare K = 1;
      #declare f = function {K*y}
      #declare Twist_x = function (x,y,z)
                         {x * cos (f (y)) + z * sin (f (y))} <-- "Invalid 
number of parameters, 1 supplied, 3 required.

      #declare Twist_z = function (x,y,z)
                         {(-x * sin (f (y)) + z * cos (f (y))}

      #declare Heart_Function = function { f_torus 
(y-pow(abs(Twist_x),Sharpness)*Bend,
                                                   (Twist_z*2),
                                                   (Twist_x,
                                                   0.8,0.1) }
    #end
  #else
    #declare Heart_Function = function { f_sphere 
(y-pow(abs(x),Sharpness)*Bend, z*2, x, 0.6    ) }
  #end


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From: "Jérôme M. Berger"
Subject: Re: Twist an isosurface
Date: 20 Dec 2006 15:42:03
Message: <4589a01b@news.povray.org>
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dave vanhorn wrote:
>       #declare f = function {K*y}
>       #declare Twist_x = function (x,y,z)
>                          {x * cos (f (y)) + z * sin (f (y))} <-- "Invalid 
> number of parameters, 1 supplied, 3 required.

	The problem is in the declaration for f. Try one of the following
instead:

#declare f = function {K*x}

or

#declare f(y) = function {K*y}

		Jerome
- --
+------------------------- Jerome M. BERGER ---------------------+
|    mailto:jeb### [at] freefr      | ICQ:    238062172            |
|    http://jeberger.free.fr/     | Jabber: jeb### [at] jabberfr   |
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From: dave vanhorn
Subject: Re: Twist an isosurface
Date: 20 Dec 2006 22:52:48
Message: <458a0510$1@news.povray.org>
> The problem is in the declaration for f. Try one of the following
> instead:
>
> #declare f = function {K*x}
>
> or
>
> #declare f(y) = function {K*y} <-- This one errors, wants an '=' not '('

      #declare K = 1;
      #declare f = function {K*x}
#declare Twist_x = function (x,y,z) {( ( x * cos (f(y))) + (z * sin 
(f(y))) )}
      #declare Twist_z = function (x,y,z) {( (-x * sin (f(y))) + (z * cos 
(f(y))) )}

      #declare Heart_Function = function { f_torus 
(y-pow(abs(Twist_x),Sharpness)*Bend,
                                                   Twist_z,
                                                   Twist_x,
                                                   0.8,0.1) }


Very frustrated.. :(


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From: "Jérôme M. Berger"
Subject: Re: Twist an isosurface
Date: 21 Dec 2006 01:19:20
Message: <458a2768$1@news.povray.org>
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dave vanhorn wrote:
>> The problem is in the declaration for f. Try one of the following
>> instead:
>>
>> #declare f = function {K*x}
>>
>> or
>>
>> #declare f(y) = function {K*y} <-- This one errors, wants an '=' not '('
> 
	Uh, yes sorry it should have been:

#declare f = function (y) {K*y}

>       #declare K = 1;
>       #declare f = function {K*x}
> #declare Twist_x = function (x,y,z) {( ( x * cos (f(y))) + (z * sin 
> (f(y))) )}
>       #declare Twist_z = function (x,y,z) {( (-x * sin (f(y))) + (z * cos 
> (f(y))) )}
> 
>       #declare Heart_Function = function { f_torus 
> (y-pow(abs(Twist_x),Sharpness)*Bend,
>                                                    Twist_z,
>                                                    Twist_x,
>                                                    0.8,0.1) }
> 
> 
> Very frustrated.. :(
> 
	Why? Didn't the code you just posted work?

		Jerome
- --
+------------------------- Jerome M. BERGER ---------------------+
|    mailto:jeb### [at] freefr      | ICQ:    238062172            |
|    http://jeberger.free.fr/     | Jabber: jeb### [at] jabberfr   |
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From: dave vanhorn
Subject: Re: Twist an isosurface
Date: 21 Dec 2006 11:30:40
Message: <458ab6b0@news.povray.org>
>> Very frustrated.. :(
>>
> Why? Didn't the code you just posted work?

Nope, it errors out, I'm not finding the error messages, or even where it's 
pointing to when it errors, to be all that helpful.


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