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digitalmars.D.learn - Math Libraries (and vectors, matrices, etc)

reply "Chris Pons" <cmpons gmail.com> writes:
Does D have a math library that defines, points, vectors and 
matrices including the appropriate functions(addition, dot 
product, cross product, etc)?

I'm starting my next game and I would like to know what my 
options are. I plan on using SDL, I'm not exactly into OpenGL 
yet, since I'm new and I only wish to work in 2D.

Nonetheless, I would prefer to get acquainted with using linear 
algebra formally in games before I move to 3D.
Mar 13 2012
parent reply "H. S. Teoh" <hsteoh quickfur.ath.cx> writes:
On Tue, Mar 13, 2012 at 08:25:49PM +0100, Chris Pons wrote:

 Does D have a math library that defines, points, vectors and
 matrices including the appropriate functions(addition, dot product,
 cross product, etc)?


I'd like to know too.

I have a medium-sized D project in the works, but right now I'm stuck at
deciding how best to represent matrices and vectors in a generic way. My
usage will be significantly different from game programming, though,
'cos I'll be dealing with arbitrary-dimensioned vectors and matrices,
not just your typical 2D/3D vector (or 4D homogenous).

But it'd be nice if both can be handled generically without crippling
performance losses in the 2D/3D case for game dev.


T

-- 
Claiming that your operating system is the best in the world because
more people use it is like saying McDonalds makes the best food in the
world. -- Carl B. Constantine
Mar 13 2012
parent reply Dmitry Olshansky <dmitry.olsh gmail.com> writes:
On 14.03.2012 0:03, H. S. Teoh wrote:

 On Tue, Mar 13, 2012 at 08:25:49PM +0100, Chris Pons wrote:

 Does D have a math library that defines, points, vectors and
 matrices including the appropriate functions(addition, dot product,
 cross product, etc)?


 I'd like to know too.

 I have a medium-sized D project in the works, but right now I'm stuck at
 deciding how best to represent matrices and vectors in a generic way. My
 usage will be significantly different from game programming, though,
 'cos I'll be dealing with arbitrary-dimensioned vectors and matrices,
 not just your typical 2D/3D vector (or 4D homogenous).

 But it'd be nice if both can be handled generically without crippling
 performance losses in the 2D/3D case for game dev.


 T


SciD worths a look, though never used nor had the need to:
https://github.com/kyllingstad/scid

-- 
Dmitry Olshansky
Mar 13 2012
next sibling parent reply "Chris Pons" <cmpons gmail.com> writes:
Thanks, I'll take a look. I'm new, so I might need some help 
properly building this. I will post back if I have any problems.

On Tuesday, 13 March 2012 at 20:06:13 UTC, Dmitry Olshansky wrote:

 On 14.03.2012 0:03, H. S. Teoh wrote:

 On Tue, Mar 13, 2012 at 08:25:49PM +0100, Chris Pons wrote:

 Does D have a math library that defines, points, vectors and
 matrices including the appropriate functions(addition, dot 
 product,
 cross product, etc)?


 I'd like to know too.

 I have a medium-sized D project in the works, but right now 
 I'm stuck at
 deciding how best to represent matrices and vectors in a 
 generic way. My
 usage will be significantly different from game programming, 
 though,
 'cos I'll be dealing with arbitrary-dimensioned vectors and 
 matrices,
 not just your typical 2D/3D vector (or 4D homogenous).

 But it'd be nice if both can be handled generically without 
 crippling
 performance losses in the 2D/3D case for game dev.


 T


 SciD worths a look, though never used nor had the need to:
 https://github.com/kyllingstad/scid
Mar 13 2012
next sibling parent reply "Kiith-Sa" <42 theanswer.com> writes:
SciD is a scientific math library providing vectors/matrices of 
arbitrary
sizes, but not useful at all for game development.

See gl3n for a game-oriented vector/matrix library:
https://bitbucket.org/dav1d/gl3n

Also, AFAIK, Manu is working on what should end up being
a Phobos module for game-oriented matrices/vectors.
Mar 13 2012
next sibling parent "Chris Pons" <cmpons gmail.com> writes:
Oops, I didn't see the replies, after my last message. I'll check 
this out. Thanks!
On Tuesday, 13 March 2012 at 20:34:54 UTC, Kiith-Sa wrote:

 SciD is a scientific math library providing vectors/matrices of 
 arbitrary
 sizes, but not useful at all for game development.

 See gl3n for a game-oriented vector/matrix library:
 https://bitbucket.org/dav1d/gl3n

 Also, AFAIK, Manu is working on what should end up being
 a Phobos module for game-oriented matrices/vectors.
Mar 13 2012
prev sibling parent David <d dav1d.de> writes:
Am 13.03.2012 21:34, schrieb Kiith-Sa:

 SciD is a scientific math library providing vectors/matrices of arbitrary
 sizes, but not useful at all for game development.

 See gl3n for a game-oriented vector/matrix library:
 https://bitbucket.org/dav1d/gl3n

 Also, AFAIK, Manu is working on what should end up being
 a Phobos module for game-oriented matrices/vectors.


I think Manu is atm working on std.simd, when he tells me it's useable 
gl3n will get simd support ;)
Mar 14 2012
prev sibling parent "Chris Pons" <cmpons gmail.com> writes:
SciD looks nice, but it seems to be a bit too complicated for my 
use.  Are there any other alternatives?

On Tuesday, 13 March 2012 at 20:14:14 UTC, Chris Pons wrote:

 Thanks, I'll take a look. I'm new, so I might need some help 
 properly building this. I will post back if I have any problems.

 On Tuesday, 13 March 2012 at 20:06:13 UTC, Dmitry Olshansky 
 wrote:

 On 14.03.2012 0:03, H. S. Teoh wrote:

 On Tue, Mar 13, 2012 at 08:25:49PM +0100, Chris Pons wrote:

 Does D have a math library that defines, points, vectors and
 matrices including the appropriate functions(addition, dot 
 product,
 cross product, etc)?


 I'd like to know too.

 I have a medium-sized D project in the works, but right now 
 I'm stuck at
 deciding how best to represent matrices and vectors in a 
 generic way. My
 usage will be significantly different from game programming, 
 though,
 'cos I'll be dealing with arbitrary-dimensioned vectors and 
 matrices,
 not just your typical 2D/3D vector (or 4D homogenous).

 But it'd be nice if both can be handled generically without 
 crippling
 performance losses in the 2D/3D case for game dev.


 T


 SciD worths a look, though never used nor had the need to:
 https://github.com/kyllingstad/scid
Mar 13 2012
prev sibling parent reply sclytrack <sclytrack hotmail.com> writes:
On 03/13/2012 09:06 PM, Dmitry Olshansky wrote:

 On 14.03.2012 0:03, H. S. Teoh wrote:

 On Tue, Mar 13, 2012 at 08:25:49PM +0100, Chris Pons wrote:

 Does D have a math library that defines, points, vectors and
 matrices including the appropriate functions(addition, dot product,
 cross product, etc)?


 I'd like to know too.

 I have a medium-sized D project in the works, but right now I'm stuck at
 deciding how best to represent matrices and vectors in a generic way. My





struct CMatrix(T)			//CMatrix
{
	T [] data;
	size_t rows;
	size_t cols;
	size_t rowStep;

	Stride(T) row()
	{
	}

	T [] rowArray()
	{
	
	}
	
	//no colArray

}


struct LMatrix(T)			//Lapack Matrix
{
	T [] data;
	size_t rows;
	size_t cols;
	size_t colStep;
}


Above are "storage types" of the matrix. They can be rectangular or 
triangular.

I'd move the "matrix shape" to the operation. Because most of the time
you already know the shape.

aadd_upperTriangular_upperTraingular( result, a, b);


So the operation for the upperTriangular "shape" can be applied to the 
generic rectangular "storage" type. I know nobody likes the underscore 
syntax but I can't come up with anything else.

Also separate the Lapack Matrix from the conventional CMatrix in other 
modules.

I'd stick to conventional routines for adding subtracting and not the 
build in binary operators like +.

-----

In scid the colStep or leading address of a is an alias. I think this 
should not be so.




 usage will be significantly different from game programming, though,
 'cos I'll be dealing with arbitrary-dimensioned vectors and matrices,
 not just your typical 2D/3D vector (or 4D homogenous).

 But it'd be nice if both can be handled generically without crippling
 performance losses in the 2D/3D case for game dev.


 T


 SciD worths a look, though never used nor had the need to:
 https://github.com/kyllingstad/scid
Mar 13 2012
next sibling parent sclytrack <sclytrack hotmail.com> writes:
On 03/13/2012 09:30 PM, sclytrack wrote:

 On 03/13/2012 09:06 PM, Dmitry Olshansky wrote:

 On 14.03.2012 0:03, H. S. Teoh wrote:

 On Tue, Mar 13, 2012 at 08:25:49PM +0100, Chris Pons wrote:

 Does D have a math library that defines, points, vectors and
 matrices including the appropriate functions(addition, dot product,
 cross product, etc)?


 I'd like to know too.

 I have a medium-sized D project in the works, but right now I'm stuck at
 deciding how best to represent matrices and vectors in a generic way. My






For vectors I'd propose

struct Stride(T)
{
	T [] data;
	size_t step;
}

For fixed size vectors, just use "float [3] v;"


I'd only use below if you can force it into phobos. If not use above.

struct Vec3(T)
{
	T x;
	T y;
	T z;
}
Mar 13 2012
prev sibling parent sclytrack <sclytrack hotmail.com> writes:
 Stride(T) row()
 {
 }


Stride!(T) row()
{
}
Mar 13 2012