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I have gotten in a dispute at Wikipedia
(http://en.wikipedia.org/wiki/Talk:HSL_and_HSV#Sphere). I'm trying to plot the
following parametric formula:
http://img252.imageshack.us/img252/1194/parametricformulaqy3.png
Here's what I've got so far:
#local cone_count_h = 0;
#local cone_count_s = 0;
#local cone_count_l = 0;
#local cone_max_h = 12;
#local cone_max_s = 6;
#local cone_max_l = 6;
#local cone_interval_h = 360/cone_max_h;
#local cone_interval_s = 1/cone_max_s;
#local cone_interval_l = 1/cone_max_l;
#local cone_max_i = 1000;
#while (cone_count_h < cone_max_h)
#local cone_h = cone_count_h * cone_interval_h;
#while (cone_count_s < cone_max_s)
#local cone_s = cone_count_s * cone_interval_s;
#while (cone_count_l < cone_max_l)
#local cone_l = cone_count_l * cone_interval_l;
#local new_var = 2 * cone_l - 1;
#local f_of_new_var = sqrt(1 - pow(new_var, 2));
#local x_coo = f_of_new_var * cone_s * cosd(cone_h);
#local y_coo = f_of_new_var * cone_s * sind(cone_h);
#local z_coo = new_var;
sphere
{
< x_coo, z_coo, y_coo>, 0.05
texture
{
pigment {rgb <1,0,0>}
pigment {rgb CHSL2RGB(<cone_h/360, cone_s, cone_l>)}
}
}
#local cone_count_l = cone_count_l + 1;
#end
#local cone_count_s = cone_count_s + 1;
#end
#local cone_count_h = cone_count_h + 1;
#end
What am I doing wrong?
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>I have gotten in a dispute at Wikipedia
> (http://en.wikipedia.org/wiki/Talk:HSL_and_HSV#Sphere). I'm trying to plot
> the
> following parametric formula:
>
> http://img252.imageshack.us/img252/1194/parametricformulaqy3.png
>
> Here's what I've got so far:
>
> #local cone_count_h = 0;
> #local cone_count_s = 0;
> #local cone_count_l = 0;
> #local cone_max_h = 12;
> #local cone_max_s = 6;
> #local cone_max_l = 6;
> #local cone_interval_h = 360/cone_max_h;
> #local cone_interval_s = 1/cone_max_s;
> #local cone_interval_l = 1/cone_max_l;
> #local cone_max_i = 1000;
>
> #while (cone_count_h < cone_max_h)
> #local cone_h = cone_count_h * cone_interval_h;
> #while (cone_count_s < cone_max_s)
> #local cone_s = cone_count_s * cone_interval_s;
> #while (cone_count_l < cone_max_l)
> #local cone_l = cone_count_l * cone_interval_l;
> #local new_var = 2 * cone_l - 1;
> #local f_of_new_var = sqrt(1 - pow(new_var, 2));
> #local x_coo = f_of_new_var * cone_s * cosd(cone_h);
> #local y_coo = f_of_new_var * cone_s * sind(cone_h);
> #local z_coo = new_var;
> sphere
> {
> < x_coo, z_coo, y_coo>, 0.05
> texture
> {
> pigment {rgb <1,0,0>}
> pigment {rgb CHSL2RGB(<cone_h/360, cone_s, cone_l>)}
> }
> }
> #local cone_count_l = cone_count_l + 1;
> #end
> #local cone_count_s = cone_count_s + 1;
> #end
> #local cone_count_h = cone_count_h + 1;
> #end
>
> What am I doing wrong?
>
The z coordinates are just sqrt(1 - pow(new_var, 2))...
as stated by the parametric you linked, but that is just a
single cone, not a double cone.
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"Tim Attwood" <tim### [at] comcast net> wrote:
> The z coordinates are just sqrt(1 - pow(new_var, 2))...
> as stated by the parametric you linked, but that is just a
> single cone, not a double cone.
I've replaced the z coordinate of the parametric equation with sqrt(1 -
pow(new_var, 2)) in place of new_var as you said, and I can't perceive an
improvement. Maybe I'm misunderstanding the instructions you gave me. Would you
mind posting a fixed version of the code, instead? Thank you very much.
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"SharkD" <nomail@nomail> wrote:
> "Tim Attwood" <tim### [at] comcastnet> wrote:
> > The z coordinates are just sqrt(1 - pow(new_var, 2))...
> > as stated by the parametric you linked, but that is just a
> > single cone, not a double cone.
>
> I've replaced the z coordinate of the parametric equation with sqrt(1 -
> pow(new_var, 2)) in place of new_var as you said, and I can't perceive an
> improvement. Maybe I'm misunderstanding the instructions you gave me. Would you
> mind posting a fixed version of the code, instead? Thank you very much.
By the way, here's my camera code. Maybe that is the problem?
camera
{
#local CameraDistance = 10;
#local ScreenArea = 5;
#local AspectRatio = image_width/image_height;
// orthographic
location -z*CameraDistance
direction z*CameraDistance
right x*ScreenArea*AspectRatio
up y*ScreenArea
// rotate x*asind(tand(30))
// rotate y*225
}
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"SharkD" <nomail@nomail> wrote in message
news:web.478e4fc03284050c368884fc0@news.povray.org...
> "SharkD" <nomail@nomail> wrote:
>> "Tim Attwood" <tim### [at] comcastnet> wrote:
>> > The z coordinates are just sqrt(1 - pow(new_var, 2))...
>> > as stated by the parametric you linked, but that is just a
>> > single cone, not a double cone.
>>
>> I've replaced the z coordinate of the parametric equation with sqrt(1 -
>> pow(new_var, 2)) in place of new_var as you said, and I can't perceive an
>> improvement. Maybe I'm misunderstanding the instructions you gave me.
>> Would you
>> mind posting a fixed version of the code, instead? Thank you very much.
>
> By the way, here's my camera code. Maybe that is the problem?
>
> camera
> {
> #local CameraDistance = 10;
> #local ScreenArea = 5;
> #local AspectRatio = image_width/image_height;
> // orthographic
> location -z*CameraDistance
> direction z*CameraDistance
> right x*ScreenArea*AspectRatio
> up y*ScreenArea
> // rotate x*asind(tand(30))
> // rotate y*225
> }
>
This is a single cone, not a double one...
#include "colors.inc"
#include "math.inc"
camera {
location <0.5, 0.5, -4.0>
direction 1.5*z
right x*image_width/image_height
look_at <0.5, 0.0, 0.0>
}
background {Gray50}
// helper function
#declare f_of_z = function(z) {sqrt(1-(z*z))};
// parametric functions as described in post
// x = hue [0..360), y = saturation [0..1], z = luminance [0..1]
#declare x_value = function(x,y,z) {f_of_z(z)*y*cosd(x)};
#declare y_value = function(x,y,z) {f_of_z(z)*y*sind(x)};
#declare z_value = function(x,y,z) {f_of_z(z)};
union {
#declare Hue_Count = 0;
#while (Hue_Count < 360)
#declare Sat_Count = 0;
#while (Sat_Count <= 1)
#declare Lum_Count = 0;
#while (Lum_Count <= 1)
#local HSLLOC = <x_value(Hue_Count,Sat_Count,Lum_Count),
y_value(Hue_Count,Sat_Count,Lum_Count),
z_value(Hue_Count,Sat_Count,Lum_Count)>;
#local C = CHSL2RGB(<Hue_Count,Sat_Count,Lum_Count>);
sphere {HSLLOC,0.05
pigment{color C}
finish {ambient 1}
}
#declare Lum_Count=Lum_Count+0.05;
#end
#declare Sat_Count=Sat_Count+0.1;
#end
#declare Hue_Count=Hue_Count+6;
#end
rotate <0,45,0>
}
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"Tim Attwood" <tim### [at] comcastnet> wrote:
> This is a single cone, not a double one...
>
> <code>
Your code results in a crash and the following error:
"POV-Ray dore rendering code threw an unhandled exception."
Anyway, nevermind. I was able to input the values into another software and plot
the points that way. I'll go back and check later to see what I did wrong when I
have the time.
Also, it's not a cone, it's a sphere.
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> Your code results in a crash and the following error:
> "POV-Ray dore rendering code threw an unhandled exception."
>
> Anyway, nevermind. I was able to input the values into another software
> and plot
> the points that way. I'll go back and check later to see what I did wrong
> when I
> have the time.
>
> Also, it's not a cone, it's a sphere.
I didn't have any crashes... oddness....
It looks like a cone to me.
http://s201.photobucket.com/albums/aa280/Zakardis/?action=view¤t=color_sphere3.jpg
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"Tim Attwood" <tim### [at] comcastnet> wrote:
> I didn't have any crashes... oddness....
>
> It looks like a cone to me.
>
http://s201.photobucket.com/albums/aa280/Zakardis/?action=view¤t=color_sphere3.jpg
You have to look at the *entire* area of text I circled in the image. Beneath
the big, bold parametric equation are variable definitions, where additional
equations are used.
As for the crashes, I don't know what is causing them. Usually, if there's a
typo or some error in copying and pasting text into the edit window, the
program will simply quit parsing and give a minor error in the status bar or
"Messages" tab.
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"SharkD" <nomail@nomail> wrote:
> "Tim Attwood" <tim### [at] comcastnet> wrote:
> > I didn't have any crashes... oddness....
> >
> > It looks like a cone to me.
> >
http://s201.photobucket.com/albums/aa280/Zakardis/?action=view¤t=color_sphere3.jpg
>
> You have to look at the *entire* area of text I circled in the image. Beneath
> the big, bold parametric equation are variable definitions, where additional
> equations are used.
>
> As for the crashes, I don't know what is causing them. Usually, if there's a
> typo or some error in copying and pasting text into the edit window, the
> program will simply quit parsing and give a minor error in the status bar or
> "Messages" tab.
Due to the server formatting news posts in the web interface of the newsgroup,
it appears as if I added the above URL to an image. Just to clear things up,
the image I am referring to is the image I linked to in my first post.
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"SharkD" <nomail@nomail> wrote:
> You have to look at the *entire* area of text I circled in the image. Beneath
> the big, bold parametric equation are variable definitions, where additional
> equations are used.
Looking at your code again, I see that you did, in fact, notice this. I assumed
this was not the case since you said the shape was that of a cone (which the
bold lettering is the parametric formula of). However, in your equation you set
z to equal L instead of 2L - 1, resulting in the (rounded) conical shape.
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