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LinearAlgebra[Modular]

  

Copy

  

copy mod m Matrix or Vector to a new or already existing mod m Matrix or Vector

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

Copy(m, ctype, A, B, order)

Parameters

m

-

modulus

A

-

input object (copy from), including subspec

B

-

(optional) output object (copy to), including subspec

order

-

(optional) ordering of output object

ctype

-

(optional) copy type; lower, upper, uppernodiag, or lowernodiag

Description

• 

The Copy function copies data from one mod m Matrix or Vector to another, or to a new Matrix or Vector.

  

If B or order are not specified, a new output object with the same ordering as the input object A is returned. If B is not specified, the returned object has the specified ordering either C_order or Fortran_order.

  

If order is not specified, the copy is performed into the output object B and NULL is returned. Note that the dimensions of the object specified for A must match those specified for B.

  

In all cases, the datatype of the output object must match the datatype of the input object.

• 

The ctype parameter is used to specify the type of copy to be performed. Valid options are upper for the upper triangular part of a Matrix, lower for the lower triangular part of a Matrix, and uppernodiag and lowernodiag for the corresponding copy operation without the diagonal.

  

Note: These copy types are only valid for square Matrices.

• 

The Copy function allows the use of sub-Matrix and sub-Vector specifications for both input and output. For example, the function can be used to copy a row of a Matrix to a row of another Matrix, or convert a Matrix into a Vector.

  

Note: If A and B overlap, the behavior of Copy is undefined.

• 

This command is part of the LinearAlgebra[Modular] package, so it can be used in the form Copy(..) only after executing the command with(LinearAlgebra[Modular]).  However, it can always be used in the form LinearAlgebra[Modular][Copy](..).

Examples

withLinearAlgebra[Modular]:

AMod13,Matrix4,4,i,j→rand,integer[]

A:=10081226011921174111211

(1)

Copy entire Matrix.

Copy13,A

10081226011921174111211

(2)

Copy row 3 to row Vector.

MCopy13,A,3

M:=92117

(3)

whattypeM

Vectorrow

(4)

Copy column 2 to column Vector.

NCopy13,A,1..1,2

N:=06211

(5)

whattypeN

Vectorcolumn

(6)

Copy column 2 to a 4x1 Matrix.

LCopy13,A,1..1,2..2

L:=06211

(7)

whattypeL

Matrix

(8)

Copy row 3,2 of A to row 2,3 of B.

BCreate13,4,4,integer[]

B:=0000000000000000

(9)

Copy13,A,3,B,2:

Copy13,A,2,B,3:

A,B

10081226011921174111211,000092117260110000

(10)

This is an error, as B is too small.

BCreate13,4,3,integer[]

B:=000000000000

(11)

Copy13,A,3,B,2:

Error, (in LinearAlgebra:-Modular:-Copy) argument 4 has a different number of columns than required by prior arguments

This example results in an error, as datatypes cannot be mixed.

BCreate13,4,4,float[8]

B:=0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.

(12)

Copy13,A,3,B,2:

Error, (in LinearAlgebra:-Modular:-Copy) argument 4 has incorrect datatype

An example of upper and lower copy.

Copy13,upper,A

100812060110011700011

(13)

BCreate13,4,4,integer[]:

Copy13,lowernodiag,A,B:

B

000020009200411120

(14)

See Also

LinearAlgebra/Details

LinearAlgebra[Modular]

LinearAlgebra[Modular][Create]

LinearAlgebra[Modular][Fill]

LinearAlgebra[Modular][subspec]

LinearAlgebra[Modular][Swap]

 


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