Re: [sympy] Re: Gsoc-14 3-Dimensional Geometry.
@certik @asmeurer I have made the changes you suggested. I have put everything that i thought of in the application https://github.com/sympy/sympy/wiki/GSoC-2014-Application--Akshay--Geometry-Modulehttps://www.google.com/url?q=https%3A%2F%2Fgithub.com%2Fsympy%2Fsympy%2Fwiki%2FGSoC-2014-Application--Akshay--Geometry-Modulesa=Dsntz=1usg=AFQjCNFOCh30zlnihG925yryY1mf50SUHg.Do you have any more suggestions? Thanks, Akshay -- You received this message because you are subscribed to the Google Groups sympy group. To unsubscribe from this group and stop receiving emails from it, send an email to sympy+unsubscr...@googlegroups.com. To post to this group, send email to sympy@googlegroups.com. Visit this group at http://groups.google.com/group/sympy. To view this discussion on the web visit https://groups.google.com/d/msgid/sympy/2f1888a2-4bbe-4d74-bb4b-7d0405f1039c%40googlegroups.com. For more options, visit https://groups.google.com/d/optout.
Re: [sympy] Re: Gsoc-14 3-Dimensional Geometry.
@certik @asmeurer Could you please review my proposal at melange and post your comments as the application deadline is fast approaching? Here is the link to my proposal at wiki https://github.com/sympy/sympy/wiki/GSoC-2014-Application--Akshay--Geometry-Module. Thanks, Akshay -- You received this message because you are subscribed to the Google Groups sympy group. To unsubscribe from this group and stop receiving emails from it, send an email to sympy+unsubscr...@googlegroups.com. To post to this group, send email to sympy@googlegroups.com. Visit this group at http://groups.google.com/group/sympy. To view this discussion on the web visit https://groups.google.com/d/msgid/sympy/deb572f1-f757-4021-8159-8d34d7db67d2%40googlegroups.com. For more options, visit https://groups.google.com/d/optout.
Re: [sympy] Re: Gsoc-14 3-Dimensional Geometry.
@certik I have updated my proposal at https://github.com/sympy/sympy/wiki/GSoC-2014-Application--Akshay--Geometry-Module. Please take some time to review it. Thanks Akshay -- You received this message because you are subscribed to the Google Groups sympy group. To unsubscribe from this group and stop receiving emails from it, send an email to sympy+unsubscr...@googlegroups.com. To post to this group, send email to sympy@googlegroups.com. Visit this group at http://groups.google.com/group/sympy. To view this discussion on the web visit https://groups.google.com/d/msgid/sympy/ff7f91f4-124f-4936-8a98-e034b874af82%40googlegroups.com. For more options, visit https://groups.google.com/d/optout.
Re: [sympy] Re: Gsoc-14 3-Dimensional Geometry.
Hi Certik, I wrote a wiki page, Please take a look. https://github.com/sympy/sympy/wiki/GSoC-2014-Application--Akshay--Geometry-Module. -- You received this message because you are subscribed to the Google Groups sympy group. To unsubscribe from this group and stop receiving emails from it, send an email to sympy+unsubscr...@googlegroups.com. To post to this group, send email to sympy@googlegroups.com. Visit this group at http://groups.google.com/group/sympy. To view this discussion on the web visit https://groups.google.com/d/msgid/sympy/709e9d16-6728-4be4-b110-b646aa8e1d1f%40googlegroups.com. For more options, visit https://groups.google.com/groups/opt_out.
Re: [sympy] Re: Gsoc-14 3-Dimensional Geometry.
On Wed, Mar 5, 2014 at 9:30 AM, Akshay akshaynukal...@gmail.com wrote: Hi Certik, I wrote a wiki page, Please take a look. https://github.com/sympy/sympy/wiki/GSoC-2014-Application--Akshay--Geometry-Module. Thanks, I like the explicit examples. Put there a section with your estimate how long it would take you to implement it. Ondrej -- You received this message because you are subscribed to the Google Groups sympy group. To unsubscribe from this group and stop receiving emails from it, send an email to sympy+unsubscr...@googlegroups.com. To post to this group, send email to sympy@googlegroups.com. Visit this group at http://groups.google.com/group/sympy. To view this discussion on the web visit https://groups.google.com/d/msgid/sympy/CADDwiVDET1pmocqWYNEYbgS4qZY_AwiaTvhgeVR8tUuRfw2nDA%40mail.gmail.com. For more options, visit https://groups.google.com/groups/opt_out.
Re: [sympy] Re: Gsoc-14 3-Dimensional Geometry.
I have added the tentative timeline, Do have a look. -- You received this message because you are subscribed to the Google Groups sympy group. To unsubscribe from this group and stop receiving emails from it, send an email to sympy+unsubscr...@googlegroups.com. To post to this group, send email to sympy@googlegroups.com. Visit this group at http://groups.google.com/group/sympy. To view this discussion on the web visit https://groups.google.com/d/msgid/sympy/a2f4a78f-1677-4e5a-a01a-6b6e4cf7f540%40googlegroups.com. For more options, visit https://groups.google.com/groups/opt_out.
Re: [sympy] Re: Gsoc-14 3-Dimensional Geometry.
Thanks. Just curious --- why do you think you'll need 4 weeks to implement the Line class? The intersection should be just a matter of a simple formula: http://mathworld.wolfram.com/Line-LineIntersection.html On Wed, Mar 5, 2014 at 11:43 AM, Akshay akshaynukal...@gmail.com wrote: I have added the tentative timeline, Do have a look. -- You received this message because you are subscribed to the Google Groups sympy group. To unsubscribe from this group and stop receiving emails from it, send an email to sympy+unsubscr...@googlegroups.com. To post to this group, send email to sympy@googlegroups.com. Visit this group at http://groups.google.com/group/sympy. To view this discussion on the web visit https://groups.google.com/d/msgid/sympy/a2f4a78f-1677-4e5a-a01a-6b6e4cf7f540%40googlegroups.com. For more options, visit https://groups.google.com/groups/opt_out. -- You received this message because you are subscribed to the Google Groups sympy group. To unsubscribe from this group and stop receiving emails from it, send an email to sympy+unsubscr...@googlegroups.com. To post to this group, send email to sympy@googlegroups.com. Visit this group at http://groups.google.com/group/sympy. To view this discussion on the web visit https://groups.google.com/d/msgid/sympy/CADDwiVBhmH4QDFLAZ7_w3iwKej0gQneMpK6-zTAkjNJEx%3DX1gA%40mail.gmail.com. For more options, visit https://groups.google.com/groups/opt_out.
Re: [sympy] Re: Gsoc-14 3-Dimensional Geometry.
I actually expected this question :).Anyway that was the formula for the intersection of 2 lines in 2-d but now we have both 2-d and 3-d and also apart from that there are segments and rays so we have to consider the intersection of line and line in 2-d and 3-d and line and ray in 2-d 3-d and so on(http://docs.sympy.org/latest/_modules/sympy/geometry/line.html#LinearEntity.intersection Current code in 2-d).There are some additional 15-20 methods which have to implemented from scratch in the line module in both 2-d and 3-d. -- You received this message because you are subscribed to the Google Groups sympy group. To unsubscribe from this group and stop receiving emails from it, send an email to sympy+unsubscr...@googlegroups.com. To post to this group, send email to sympy@googlegroups.com. Visit this group at http://groups.google.com/group/sympy. To view this discussion on the web visit https://groups.google.com/d/msgid/sympy/dda3a99b-790b-4cff-9ea9-5cfabbc50539%40googlegroups.com. For more options, visit https://groups.google.com/groups/opt_out.
Re: [sympy] Re: Gsoc-14 3-Dimensional Geometry.
On Wed, Mar 5, 2014 at 12:17 PM, Akshay akshaynukal...@gmail.com wrote: I actually expected this question :).Anyway that was the formula for the intersection of 2 lines in 2-d but now we have both 2-d and 3-d and also apart from that there are segments and rays so we have to consider the intersection of line and line in 2-d and 3-d and line and ray in 2-d 3-d and so on(http://docs.sympy.org/latest/_modules/sympy/geometry/line.html#LinearEntity.intersection Current code in 2-d).There are some additional 15-20 methods which have to implemented from scratch in the line module in both 2-d and 3-d. I know it can get tricky to do intersection in 3D, but on the link I sent, it is described under In three dimensions, See also this: http://stackoverflow.com/questions/10551555/need-an-algorithm-for-3d-vectors-intersection/10554546#10554546 One has to code this, using symbolic algebra, but once you have it, the rest seems straightforward. I would think it would take a few days to get it right. Ondrej -- You received this message because you are subscribed to the Google Groups sympy group. To unsubscribe from this group and stop receiving emails from it, send an email to sympy+unsubscr...@googlegroups.com. To post to this group, send email to sympy@googlegroups.com. Visit this group at http://groups.google.com/group/sympy. To view this discussion on the web visit https://groups.google.com/d/msgid/sympy/CADDwiVAQZe6%3D3fD-b2dfQxgBxNkeQY4BnV5NAG_qX0tNKDi4Pg%40mail.gmail.com. For more options, visit https://groups.google.com/groups/opt_out.
Re: [sympy] Re: Gsoc-14 3-Dimensional Geometry.
Only problem is this is not hard but tedious as there are a lot of permutations line , segment and rays(2-d and 3-d) and note that there are no ready made formulas for rays and segments unlike lines .Maybe his might not take the amount of time I mentioned ,If time is left I would like to include all these new geometric entities in the plotting module.Does that sound good? -- You received this message because you are subscribed to the Google Groups sympy group. To unsubscribe from this group and stop receiving emails from it, send an email to sympy+unsubscr...@googlegroups.com. To post to this group, send email to sympy@googlegroups.com. Visit this group at http://groups.google.com/group/sympy. To view this discussion on the web visit https://groups.google.com/d/msgid/sympy/315f94ea-3557-4b10-8853-01765a45bca0%40googlegroups.com. For more options, visit https://groups.google.com/groups/opt_out.
Re: [sympy] Re: Gsoc-14 3-Dimensional Geometry.
Hi Akshay, I think in general it is a good idea to be able to work with 3D geometric objects. Why don't you start by writing some very quick prototype, as part of your proposal. For example intersection of 2 lines in 3D, or a plane and a line. Write up the functions/classes necessary for that. That should give you a good idea what work this involves and should give you ideas how to write the proposal. Ondrej On Mon, Feb 24, 2014 at 12:03 AM, Akshay akshaynukal...@gmail.com wrote: @smichr I agree that there are a lot of visualisation libraries for geometry but there are very few computational geometry libraries especially in python(atleast that's what googlesaid). With sympy's features we could make a more flexible 3d module for example using symbols and restricting it's value to only positive,we have already blocked imaginary points so that is one less thing to worry about and making use of vector module in some algorithms. -- You received this message because you are subscribed to the Google Groups sympy group. To unsubscribe from this group and stop receiving emails from it, send an email to sympy+unsubscr...@googlegroups.com. To post to this group, send email to sympy@googlegroups.com. Visit this group at http://groups.google.com/group/sympy. To view this discussion on the web visit https://groups.google.com/d/msgid/sympy/45ffeb28-a20f-406a-b81a-e5dc29975ef6%40googlegroups.com. For more options, visit https://groups.google.com/groups/opt_out. -- You received this message because you are subscribed to the Google Groups sympy group. To unsubscribe from this group and stop receiving emails from it, send an email to sympy+unsubscr...@googlegroups.com. To post to this group, send email to sympy@googlegroups.com. Visit this group at http://groups.google.com/group/sympy. To view this discussion on the web visit https://groups.google.com/d/msgid/sympy/CADDwiVA7fX677EKB%2B8dn_wuRNzYQVKeU64LKCqD-hoH9xDZkkw%40mail.gmail.com. For more options, visit https://groups.google.com/groups/opt_out.
Re: [sympy] Re: Gsoc-14 3-Dimensional Geometry.
@ondrej Thanks for the quick reply .
As you pointed out I have been working on the prototype for past few days
and for the intersection of two lines it looks something like this:
a = Line(Point(1,2,3),Point(2,3,4))
b = Line(Point(5,5,5),Point(-8,-6,-3))
a.interection(b) = Point(-1.5, -0.5, 0.5)
a.arbitrary_point() = Point(t+1,t+2,t+3)
b.arbitrary_point('z') = Point(-13*z +5, -11*z+5, -8z+5)
c=Line(Point(2,3), Point(3,5)) # Here the default value of z is taken as 0
a.intersection(c)
Point(2,3,4)
Apart from this I have been thinking about a class which does this
x,y,z = map(Symbol, 'xyz')
p1,p2,p3 = Point(x, y), Point(y, z), Point(2*x*y, y)
Point.is_collinear(p1, p2, p3) this returns false but it is better to
return this
Points are collinear if z - y - 2*y*z + 2*y**2 == 0
This class should support the following methods at least:
is_similar is_parallel is_concyclic is_perpendicular encloses_point
is_tangent is_convex contains collinear
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Re: [sympy] Re: Gsoc-14 3-Dimensional Geometry.
Hi Akshay,
On Tue, Mar 4, 2014 at 12:28 PM, Akshay akshaynukal...@gmail.com wrote:
@ondrej Thanks for the quick reply .
As you pointed out I have been working on the prototype for past few days
and for the intersection of two lines it looks something like this:
a = Line(Point(1,2,3),Point(2,3,4))
b = Line(Point(5,5,5),Point(-8,-6,-3))
a.interection(b) = Point(-1.5, -0.5, 0.5)
a.arbitrary_point() = Point(t+1,t+2,t+3)
b.arbitrary_point('z') = Point(-13*z +5, -11*z+5, -8z+5)
c=Line(Point(2,3), Point(3,5)) # Here the default value of z is taken as 0
a.intersection(c)
Point(2,3,4)
Apart from this I have been thinking about a class which does this
x,y,z = map(Symbol, 'xyz')
p1,p2,p3 = Point(x, y), Point(y, z), Point(2*x*y, y)
Point.is_collinear(p1, p2, p3) this returns false but it is better to return
this
Points are collinear if z - y - 2*y*z + 2*y**2 == 0
This class should support the following methods at least:
is_similar is_parallel is_concyclic is_perpendicular encloses_point
is_tangent is_convex contains collinear
Very good. I think this makes sense.
Ondrej
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Re: [sympy] Re: Gsoc-14 3-Dimensional Geometry.
Hello.
In your prototype, you have written :
b.arbitrary_point('z') = Point(-13*z +5, -11*z+5, -8z+5)
c=Line(Point(2,3), Point(3,5)) # Here the default value of z is taken as 0
Why don't you work with a symbolic variable z ?
You will also have to take care of point in segment for example.
2014-03-04 20:28 GMT+01:00 Akshay akshaynukal...@gmail.com:
@ondrej Thanks for the quick reply .
As you pointed out I have been working on the prototype for past few days
and for the intersection of two lines it looks something like this:
a = Line(Point(1,2,3),Point(2,3,4))
b = Line(Point(5,5,5),Point(-8,-6,-3))
a.interection(b) = Point(-1.5, -0.5, 0.5)
a.arbitrary_point() = Point(t+1,t+2,t+3)
b.arbitrary_point('z') = Point(-13*z +5, -11*z+5, -8z+5)
c=Line(Point(2,3), Point(3,5)) # Here the default value of z is taken as 0
a.intersection(c)
Point(2,3,4)
Apart from this I have been thinking about a class which does this
x,y,z = map(Symbol, 'xyz')
p1,p2,p3 = Point(x, y), Point(y, z), Point(2*x*y, y)
Point.is_collinear(p1, p2, p3) this returns false but it is better to
return this
Points are collinear if z - y - 2*y*z + 2*y**2 == 0
This class should support the following methods at least:
is_similar is_parallel is_concyclic is_perpendicular encloses_point
is_tangent is_convex contains collinear
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Re: [sympy] Re: Gsoc-14 3-Dimensional Geometry.
c=Line(Point(2,3), Point(3,5)) # Here the default value of z is taken as 0 I meant that the z co-ordinate of the point is taken as 0. -- You received this message because you are subscribed to the Google Groups sympy group. To unsubscribe from this group and stop receiving emails from it, send an email to sympy+unsubscr...@googlegroups.com. To post to this group, send email to sympy@googlegroups.com. Visit this group at http://groups.google.com/group/sympy. To view this discussion on the web visit https://groups.google.com/d/msgid/sympy/566bdfcc-445e-4530-a572-648fd22237d5%40googlegroups.com. For more options, visit https://groups.google.com/groups/opt_out.
Re: [sympy] Re: Gsoc-14 3-Dimensional Geometry.
Sorry for my message, I was drunk... ;-) 2014-03-04 21:32 GMT+01:00 Akshay akshaynukal...@gmail.com: c=Line(Point(2,3), Point(3,5)) # Here the default value of z is taken as 0 I meant that the z co-ordinate of the point is taken as 0. -- You received this message because you are subscribed to the Google Groups sympy group. To unsubscribe from this group and stop receiving emails from it, send an email to sympy+unsubscr...@googlegroups.com. To post to this group, send email to sympy@googlegroups.com. Visit this group at http://groups.google.com/group/sympy. To view this discussion on the web visit https://groups.google.com/d/msgid/sympy/566bdfcc-445e-4530-a572-648fd22237d5%40googlegroups.comhttps://groups.google.com/d/msgid/sympy/566bdfcc-445e-4530-a572-648fd22237d5%40googlegroups.com?utm_medium=emailutm_source=footer . For more options, visit https://groups.google.com/groups/opt_out. -- You received this message because you are subscribed to the Google Groups sympy group. To unsubscribe from this group and stop receiving emails from it, send an email to sympy+unsubscr...@googlegroups.com. To post to this group, send email to sympy@googlegroups.com. Visit this group at http://groups.google.com/group/sympy. To view this discussion on the web visit https://groups.google.com/d/msgid/sympy/CAAb4jGmTQvGwt4MetC-1NcDXNKE1ieyR52nip4uvUnDz%2B4et_g%40mail.gmail.com. For more options, visit https://groups.google.com/groups/opt_out.
