Drawing the hue circle should be easy :
Draw the radius of the outer edge of the circle in a fully saturated, fully valued hue over 360 degrees. Draw a filled circle with a smaller radius over the top using the bitmap mask color. This one can easily be a pre-drawn overlay.

The saturation and value triangle will be more difficult and you will probably have to redraw it each time the hue changes unless you limit the different number of hues allowed. For example 360 different pre-drawn saturation value triangles might not be too much of a strain on memory, but it depends on how large they are.

The triangle itself is basically composed of a set of gradient line segments that get shorter and shorter as you move down and left in the triangle. I would write my own gradient line function for it. Pass the function the hue and the value of the current line and inside the function vary the saturation from 0.0 at one end gradually up to 1.0 at the other end of the line segment. Repeat this for each line the triangle is composed of, varying the color value as you move down and left.

completely agriing Edgardo. But for the triangle I have NO idea about how to proceed. neither how to use a vector to print to screen the result of calculation in pixels.

does anybody knows where the libs that were on allegro once gone ? : altheme / http://www.allegro.cc/go.php?http://www.the-good-stuff.freeserve.co.uk/allegro/gui/mage/ ?

For sure OpenGL can do it.

glBegin(GLTRIANGLES);
glColor(somecolor);
glVertex(coords);
glColor(somecolor);
glVertex(coords);
glColor(somecolor);
glVertex(coords);
glEnd();

Well, or something like this.

I'd do the triangle like this:
1. Calculate the coordinates of the three vertices.
2. Think of the triangle as a set of horizontal lines.
2.1. Calculate start and end point of each line.
2.2. Calculate the colour of the start point and end point by interpolating between the two vertices in concern.
2.3. Draw each pixel of the horizontal line by interpolating between the start and end point.

Another way would be to draw the gouraud rectangle and mask it to a triangle and rotate_blit it.

I'm a little confused why you are ignoring gnolam's suggestion... but I guess if you are willing to wait, I'll have a gouraud shaded triangle ready in a day or two for A5, and I can give it to you.

Assuming you drew it correctly, that triangle is basically a wedge out the (V, S) plane, tilted at an odd angle.
Drawing the plane should be easy, so too is removing the wedge. I'm guessing that you have to remove the 45 degree edge. In the picture, the triangle is equilateral, which you can get by stretching one of the axes in the plane by sqrt(2). All you then have to do is rotate the triangle, which shouldn't cause you too much of a headache.

woaw... quickly done ! thanks a lot for all your help.
this rocks... i was perparing myself for a painfull time trying to adapt barywhitecentric esoteric equations.... didnt now anything about this magnifical type of POLYTYPE GCOL.....

merci one thosuand times:):):)!