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Tensor templates

, 26 Jun 2001
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A template class that enable you to make tensors with any dimensionality. Process convolution of any tensors and so on.
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Introduction

The Tensor class was written in 1997 during my study of templates (I found it examining my archives).

But I've not seen any such classes since. So I think it can be useful for students. The main reason I've wrote it - for the convolution of tensors with any dimensionality. Also you can get and use any sub-tensor using operator[], for example Sample Image can be written like

Tensor2 qq,a1,a2,aa;
convolution(aa["li"],a2["lj"],qq["ij"]);
convolution(qq["kl"],a1["ki"],aa["li"]);

Using

The demo project shows usage of tensors. You can:

Declare and init tensors (you should specify dimension and indexes range).

   Tensor2 result2(2);
   Tensor4 tt(3);  // 4 - dimensions indexes can be 0-2 or "1"-"3"
   Tensor2 t1(2);       t1[0][0] = 1.0;
                        t1[1][0] = 2.0;
                        t1[0][1] = 3.0;
                        t1[1][1] = 4.0;

Convolute tensors - note that you can use different dimensions and one or more constants in indices.

   convolution(result5["2i"],t3["2"],t2["i3"]);    
   convolution(result6["ij"],t1["ja"],t2["ai"]);

Use some arithmetical operations.

    result3 = t1 + t2*2;

Print part or whole tensor.

    t4["ijkl"].printf(std::cout);      
    result5["1j"].printf(std::cout);

Average tensors.

    Tensor2 t[2];
    double q[2];
    t2.averaging(&t[0],q,2);

Invert 4-dimension tensor with indexes (0,1).

    Tensor4 t(2),ti(2);
    ti = inverse(t);      

To Do list

It can be easy to implement some more operations with tensors (different multiplication and so). Please let me know, if you need some.

Note

Make sure to check out the my web site which is more likely to have updates and betas: http://www.zmike.net

License

This article has no explicit license attached to it but may contain usage terms in the article text or the download files themselves. If in doubt please contact the author via the discussion board below.

A list of licenses authors might use can be found here

About the Author

Mike Melnikov
Web Developer
Russian Federation Russian Federation
Mike has been programming in C/C++ for 11 years and Visual C++/MFC for 4 years. His background includes pure and applied mathematics, engineering and physics, and he is currently based in Moscow, Russia.

Comments and Discussions

 
Generallinear algebra PinmemberVeganFanatic9-Jun-10 15:22 
I have spend the last few days with VS cranking out a linear algebra template or 2. So useful I felt it was worth the effort to make a nice clean easy to use set of templates.
 
my vector template is a tensor as is my matrix
 
as time goes by i plan to improve on the basic functionality
 
minor problem, vector * matrix = vector, cannot find the algorithm
 
so I posted a question
 
so browsing I blunder into your work
GeneralIntroduction to Tensor Convolution PinmemberPho3NiX15-Aug-09 7:52 
GeneralGeneral comment PinmemberDarid Tromer24-Feb-08 23:08 
GeneralRe: General comment PinmemberMike Melnikov1-Mar-08 0:26 
General[Message Deleted] PinmemberDanny Rodriguez27-Jan-08 9:41 
Generalthis is good! Pinmemberyulin1114-Jun-07 3:50 
GeneralTensors, great fun! ;) PinmemberPedroMC10-Aug-05 23:48 
GeneralRe: Tensors, great fun! ;) Pinmemberyulin1114-Jun-07 3:52 
Generalthk u Pinmembersyit31515-May-04 4:37 
GeneralWell Done ! PinmemberColin Davies6-Jul-02 0:42 
GeneralRe: Well Done ! PinmemberMike Melnikov10-Aug-02 3:11 
GeneralI'm ashamed to ask but... PinmemberDaniel Turini22-Dec-01 4:17 
GeneralRe: I'm ashamed to ask but... PinmemberMike Melnikov26-Dec-01 21:01 
GeneralRe: I'm ashamed to ask but... PinmemberJerry Jeremiah14-Mar-06 13:56 

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