Documentation Talk:Tutorial Section 3.2 - Revision history

Jholsenback: follow up

2011-01-25T17:26:15Z

follow up

Le Forgeron: Congratulations & yet a 15 order replaced by 35. (missed)

2011-01-25T17:08:09Z

Congratulations & yet a 15 order replaced by 35. (missed)

Jholsenback: follow up

2011-01-22T13:53:35Z

follow up

Le Forgeron: Corrections of poly text and proposal for new subsection in poly (as last part)

2011-01-22T08:23:15Z

Corrections of poly text and proposal for new subsection in poly (as last part)

New page

Updates to perform (sorry, cannot provide it as wiki text):
* in Poly object, Creating the polynomial function : the second formula of the sphere should be changed (it's a picture) to : x²+y²+z²-r² = 0 (the square on r is missing, it will confuse the math-geeks from the first formula) (the picture/formula is reused in the next section: writing the polynomial vector)
* The note in Creating the polynomial function talk about a limit of 7th order, it should be updated to 35 now.
* Hereafter a suggestion for an additional section in poly, about the new syntax
--[[User:Le Forgeron|Le Forgeron]] 08:23, 22 January 2011 (UTC)
----
=====Polynomial made easy=====
Consulting the table in the chapter [[Documentation:Reference Section 4.2#Poly, Cubic and Quartic|Poly, Cubic and Quartic]] or writing a program to get the right poly vector can be a bit cumbersome on the long run (especially when the poly vector is not a write-once-only expression and that you want to get it back).

1) The previous sphere can also be:
[[Image:TutImgPolyfunc2.png|sphere polynomial]]
<pre>
#declare Radius=1;
polynomial { 2,
xyz(2,0,0):1,
xyz(0,2,0):1,
xyz(0,0,2):1,
xyz(0,0,0):-Radius*Radius
}
</pre>

[[Image:TutImgPolypic1.png|Sphere polynomial]]

2) Let's now see the second one:
[[Image:TutImgPolyfunc4.png|5th order polynomial]]
<pre>
polynomial { 5,
xyz(2,0,1):1,
xyz(0,4,1):1,
xyz(1,2,0):-2
}
</pre>
[[Image:TutImgPolypic2.png|5th order polynomial example]]

3) And finally the torus:
[[Image:TutImgPolyfunc6.png|torus polynomial]]
<pre>
polynomial { 4,
xyz(4,0,0):1,
xyz(2,2,0):2,
xyz(2,0,2):2,
xyz(2,0,0):-2*(r1*r1+r2*r2),
xyz(0,4,0):1,
xyz(0,2,2):2,
xyz(0,2,0):2*(r1*r1-r2*r2),
xyz(0,0,4):1,
xyz(0,0,2):-2*(r1*r1+r2*r2),
xyz(0,0,0):pow((r1*r1-r2*r2),2)
}
</pre>
[[Image:TutImgPolypic3.png|Torus polynomial]]

← Older revision		Revision as of 17:26, 25 January 2011
Line 56:		Line 56:
	<p class="Note"><strong>Note:</strong> At it's maximum a 35th degree polynomial can be represented with the poly object. If a higher degree polynomial or other non-polynomial function has to be represented, then it is necessary to use the isosurface object.</p>		<p class="Note"><strong>Note:</strong> At it's maximum a 35th degree polynomial can be represented with the poly object. If a higher degree polynomial or other non-polynomial function has to be represented, then it is necessary to use the isosurface object.</p>
	--[[User:Le Forgeron\|Le Forgeron]] 17:08, 25 January 2011 (UTC)		--[[User:Le Forgeron\|Le Forgeron]] 17:08, 25 January 2011 (UTC)
		+
		+	:* sharp eye it's been done: --[[User:Jholsenback\|jholsenback]] 17:26, 25 January 2011 (UTC)

← Older revision		Revision as of 17:08, 25 January 2011
Line 51:		Line 51:
	</pre>		</pre>
	<p>[[Image:TutImgPolypic3.png\|Torus polynomial]]</p>		<p>[[Image:TutImgPolypic3.png\|Torus polynomial]]</p>
		+	----
		+	I like your prose better than mine. Great. Yet there is still a note in the Poly introduction which state a limit at 15. It's 35 now.
		+
		+	<p class="Note"><strong>Note:</strong> At it's maximum a 35th degree polynomial can be represented with the poly object. If a higher degree polynomial or other non-polynomial function has to be represented, then it is necessary to use the isosurface object.</p>
		+	--[[User:Le Forgeron\|Le Forgeron]] 17:08, 25 January 2011 (UTC)

@@ Line 4: / Line 4: @@
 * Hereafter a suggestion for an additional section in poly, about the new syntax
 --[[User:Le Forgeron|Le Forgeron]] 08:23, 22 January 2011 (UTC)
 ----
 =====Polynomial made easy=====