turn on suggestions

Auto-suggest helps you quickly narrow down your search results by suggesting possible matches as you type.

Showing results for

Find a Community

- Home
- /
- SAS Programming
- /
- Base SAS Programming
- /
- 2^N Matrix.

Topic Options

- Subscribe to RSS Feed
- Mark Topic as New
- Mark Topic as Read
- Float this Topic for Current User
- Bookmark
- Subscribe
- Printer Friendly Page

- Mark as New
- Bookmark
- Subscribe
- Subscribe to RSS Feed
- Highlight
- Email to a Friend
- Report Inappropriate Content

05-15-2017 08:01 PM

¡Hi everybody!

I am trying to get a matrix with all the possibles combinations of "0 and 1" i have seen the function "IML" but i not have access to that function,would it be possible por me program all that?

i am with this one:

/*just create three data sets (all hold 0,1)*/

data a;

input x@@;

datalines;

0 1

;

data b;

input y@@;

datalines;

0 1

;

data c;

input z@@;

datalines;

0 1

;

/*use Cartesian product to get all the 2*2*2 combinations*/

proc sql;

create table all as

select *

from a,b,c

order by x,y,z

;

quit;

proc print nobs;run; but what if i want to get into a lot of more data? i mean maximum 1555030x1555030 with all the combinations (0 and 1) possibles, sql doest not allowed me to do that.

Thank you so much for your help.

I am trying to generate a loss probability distribution.

Accepted Solutions

Solution

05-18-2017
10:11 AM

- Mark as New
- Bookmark
- Subscribe
- Subscribe to RSS Feed
- Highlight
- Email to a Friend
- Report Inappropriate Content

05-16-2017 03:36 AM

There are several ways I can think of to get the matrix you want. For example PROC PLAN will produce a matrix of 1s and 2s :

```
proc plan;
factors x=2 ordered y=2 ordered z=2 ordered;
output out=all;
run;
```

Alternatively consider GRAYCODE which you can use like this:

```
data all (drop = i k);
array x(3);
k = -1;
do i = 1 to 2**3;
call graycode(k, of x(*) );
output;
end;
run;
```

Having a loop is an advantage, as you could add an IF statement to only output the possibilities that you are interested in.

However, you will never be able to process 2 ^ 1,555,043 possibilites as this number is far too big! Even 2 ^ 30 is pushing against limits, as this is above 1 billion.

I think you will need a more sophisticated approach, but you will need to give more details on what you want to achieve, to get any useful help. If you do not have IML, then it would be better to ask this question in a different forum.

All Replies

- Mark as New
- Bookmark
- Subscribe
- Subscribe to RSS Feed
- Highlight
- Email to a Friend
- Report Inappropriate Content

05-15-2017 10:38 PM

This isn't that clear.

Are you required to use IML? If you only have two values why do you have so many options?

I think you need to further explain your issue.

You can look at the documentation for ALLCOMB or CALL ALLCOMB on other ways to create all possible combinations of data.

- Mark as New
- Bookmark
- Subscribe
- Subscribe to RSS Feed
- Highlight
- Email to a Friend
- Report Inappropriate Content

05-15-2017 11:19 PM

Thank you so much for your time!!

Yeaap,sorry i was not that clear,see i am an actuarie working for a BANK, i am trying to do this:

Suppose i have this:

Portfolio | |

Default probability | exposure |

0.06 | 1,000,000.00 |

0.05 | 780,000.00 |

0.04 | 500,000.00 |

0.02 | 250,000.00 |

0.01 | 100,000.00 |

then i am creating all the possibles combinations for that 5 number of persons with just a flag(1 or 0) ,with 1 (default) and 0(no default) then i have the combinations: 2^5 i mean 2^n., generating this:

Case | X1 | X2 | X3 | X4 | X5 |

1 | 1 | 1 | 1 | 1 | 1 |

2 | 1 | 1 | 1 | 1 | 0 |

3 | 1 | 1 | 1 | 0 | 1 |

4 | 1 | 1 | 1 | 0 | 0 |

5 | 1 | 1 | 0 | 1 | 1 |

6 | 1 | 1 | 0 | 1 | 0 |

7 | 1 | 1 | 0 | 0 | 1 |

8 | 1 | 1 | 0 | 0 | 0 |

9 | 1 | 0 | 1 | 1 | 1 |

10 | 1 | 0 | 1 | 1 | 0 |

11 | 1 | 0 | 1 | 0 | 1 |

12 | 1 | 0 | 1 | 0 | 0 |

13 | 1 | 0 | 0 | 1 | 1 |

14 | 1 | 0 | 0 | 1 | 0 |

15 | 1 | 0 | 0 | 0 | 1 |

16 | 1 | 0 | 0 | 0 | 0 |

17 | 0 | 1 | 1 | 1 | 1 |

18 | 0 | 1 | 1 | 1 | 0 |

19 | 0 | 1 | 1 | 0 | 1 |

20 | 0 | 1 | 1 | 0 | 0 |

21 | 0 | 1 | 0 | 1 | 1 |

22 | 0 | 1 | 0 | 1 | 0 |

23 | 0 | 1 | 0 | 0 | 1 |

24 | 0 | 1 | 0 | 0 | 0 |

25 | 0 | 0 | 1 | 1 | 1 |

26 | 0 | 0 | 1 | 1 | 0 |

27 | 0 | 0 | 1 | 0 | 1 |

28 | 0 | 0 | 1 | 0 | 0 |

29 | 0 | 0 | 0 | 1 | 1 |

30 | 0 | 0 | 0 | 1 | 0 |

31 | 0 | 0 | 0 | 0 | 1 |

32 | 0 | 0 | 0 | 0 | 0 |

i have read about** iml **but i don´t have such a function,i am nor advanced at macros but the previous code i left seems to me to have the logic, it is just that i do not know how to construct this matriz since i don't have iml. My maximum number of clients is 1,555,043 and i am expecting tgis matrix to be 2^1,555,043 in order to get all the cambinations and finally get mi distribution.

Thank you so so much for your time.

Best regards.

Fátima.

- Mark as New
- Bookmark
- Subscribe
- Subscribe to RSS Feed
- Highlight
- Email to a Friend
- Report Inappropriate Content

05-16-2017 01:54 AM

I'm still confused. Do you want to use IML or another SAS procedure to do this?

- Mark as New
- Bookmark
- Subscribe
- Subscribe to RSS Feed
- Highlight
- Email to a Friend
- Report Inappropriate Content

05-16-2017 10:37 AM

Hi,

No **IML,**I need another procedure.

- Mark as New
- Bookmark
- Subscribe
- Subscribe to RSS Feed
- Highlight
- Email to a Friend
- Report Inappropriate Content

05-16-2017 10:38 AM

Hi,

No **IML,**I need another procedure.

Thank you.

- Mark as New
- Bookmark
- Subscribe
- Subscribe to RSS Feed
- Highlight
- Email to a Friend
- Report Inappropriate Content

05-16-2017 10:52 AM

You posted this in IML.

I'm not sure what you want is feasible. It's possible but I wonder if a different structure wouldn't work better. Can you explain what you will do with the matrix after it's created.

Solution

05-18-2017
10:11 AM

- Mark as New
- Bookmark
- Subscribe
- Subscribe to RSS Feed
- Highlight
- Email to a Friend
- Report Inappropriate Content

05-16-2017 03:36 AM

There are several ways I can think of to get the matrix you want. For example PROC PLAN will produce a matrix of 1s and 2s :

```
proc plan;
factors x=2 ordered y=2 ordered z=2 ordered;
output out=all;
run;
```

Alternatively consider GRAYCODE which you can use like this:

```
data all (drop = i k);
array x(3);
k = -1;
do i = 1 to 2**3;
call graycode(k, of x(*) );
output;
end;
run;
```

Having a loop is an advantage, as you could add an IF statement to only output the possibilities that you are interested in.

However, you will never be able to process 2 ^ 1,555,043 possibilites as this number is far too big! Even 2 ^ 30 is pushing against limits, as this is above 1 billion.

I think you will need a more sophisticated approach, but you will need to give more details on what you want to achieve, to get any useful help. If you do not have IML, then it would be better to ask this question in a different forum.

- Mark as New
- Bookmark
- Subscribe
- Subscribe to RSS Feed
- Highlight
- Email to a Friend
- Report Inappropriate Content

05-16-2017 11:40 AM

I see absolutely no connection between your "Portfolio" information and the example desired output;

This macro makes a data set named Want with the desired output though the 0 values come first. If you don't like that change the

do x&i=0 to 1 into do x&i = 1 to 0 by (-1);

%macro dummy(numPers); data want; retain case 0; %do i=1 %to &numpers; do x&i = 0 to 1; %end; case +1; output; %do i=1 %to &numpers; end; %end; run; %mend; %dummy(5);

- Mark as New
- Bookmark
- Subscribe
- Subscribe to RSS Feed
- Highlight
- Email to a Friend
- Report Inappropriate Content

05-16-2017 09:09 AM

%let n=5; %let x=%substr(%qsysfunc(repeat(%str(,0:1),&n)),2); %put &x ; proc iml; want=expandgrid(&x); print want; quit;

- Mark as New
- Bookmark
- Subscribe
- Subscribe to RSS Feed
- Highlight
- Email to a Friend
- Report Inappropriate Content

05-16-2017 10:53 AM

I moved this post to Base SAS forum.