This chapter lists code examples of handling sets, aggregate operations and loop operation, including Judge if it is an interger sequence, Judge if it is an ascending integer sequence, Judge if it is a member or a subset of an integer sequence, Judge if members from two sequences are equal, Perform union, intersection and difference on sorted sequences by merge function, Calculate quadratic sum and variance, Calculate weighted average, Calculate average of an integer sequence after removing the max and the min, Calculate link relative ratio over adjacent rows, Calculate moving average over adjacent sets, Aggregate loop, Union record sequences with different data structures, Set operations, Get topN, Synced segmentation where max/mix value in a segment is used to represent a value, Caculate product of three sets’ Catesian products, and Get Fibonacci sequence.

A 

1 
[1,2,3,4] 

2 
=A1.pselect(~!=int(~))==null 
Check if any member is not integer 

A 

1 
[1,2,3,4,5] 

2 
=A1.pselect(~!=int(~)  ~<=~[1] )==null 


A 

1 
[1,2,3,4,5,6,7] 

2 
=A1.pos(2)!=null 
true for member 
3 
=A1.pos@c([2,3])!=null 
true for continuous subset 
4 
=A1.pos@c([3,2])!=null 
false 
5 
=A1.pos@c([2,5])!=null 
false 
6 
=A1.pos@i([2,3])!=null 
true for subset 
7 
=A1.pos@i([3,2])!=null 
false 
8 
=A1.pos@i([2,5])!=null 
true 

A 

1 
[1,2,3] 

2 
[3,2,1] 

3 
=A1.eq(A2) 
true 

A 

1 
=demo.query("select CLASS,STUDENTID, SUBJECT, SCORE from SCORES where CLASS=? and SUBJECT=? and STUDENTID<?","Class one", "Math",10) 

2 
=demo.query("select CLASS,STUDENTID, SUBJECT,SCORE from SCORES where CLASS=? and SUBJECT=? and STUDENTID>?","Class two", "Math",5) 

3 
=A1.sort(STUDENTID) 

4 
=A2.sort(STUDENTID) 

5 
=[A3:A4].merge(STUDENTID) 
Concatenation 
6 
=[A3:A4].merge@u(STUDENTID) 
Union 
7 
=[A3:A4].merge@i(STUDENTID) 
Intersection 
8 
=[A3:A4].merge@d(STUDENTID) 
Difference 

A 

1 
[1,2,3,4,5,6,7,8] 

2 
=A1.sum(~*~) 
Quadratic sum 
3 
=A1.variance() 
Variance 
4 
=demo.query("select NAME,EVENT,SCORE from GYMSCORE") 

5 
=A4.variance(SCORE) 


A 

1 
[9,9.1,8.5,9.8,9.4] 

2 
[0.9,0.8,1.0,0.95,1.0] 

3 
=(A1**A2).sum()/A2.sum() 


A 

1 
[99,98,95,93,87,89,90,96,94] 

2 
=(A1.sum()A1.max()A1.min())/(A1.len()2) 

3 
=(A1\A1.min()\A1.max()).avg() 


A 

1 
[1,2,3,4,5,6] 

2 
=A1.(~/~[1]1) 

3 
=demo.query("select DATE,sum(CLOSING) AMOUNT from STOCKRECORDS GROUP BY DATE") 

4 
=A3.derive(AMOUNT/AMOUNT[1]1: Periodoverperiod) 


A 

1 
[1,2,3,4,5,6] 

2 
=A1.(~[1,1].avg()) 

3 
=demo.query("select STOCKID, DATE,CLOSING from STOCKRECORDS where STOCKID=?","000062") 

4 
=A3.(CLOSING[3,3].avg()) 


A 

1 
[1,2,3,4,5,6,7] 

2 
=A1.iterate(~*~~;1) 
Return the product 

A 

1 
=demo.query("select * from STUDENTS") 

2 
=demo.query("select * from EMPLOYEE ").derive(interval@y(BIRTHDAY,now()):AGE) 

3 
=A1A2 

4 
=A3.select(GENDER:"F").avg(AGE) 


A 
B 

1 
[1,1,2,3,5,8] 


2 
[1,2,3,4,5,6] 


3 
=[A1,A2].isect() 
=A1^A2 
Intersection 
4 
=[A1,A2].diff() 
=A1\A2 
Difference 
5 
=[A1,A2].union() 
=A1&A2 
Union 
6 
=[A1,A2].conj() 
=A1A2 
Concatenation 
7 
=[A1,A2].xunion() 

Retain unique members of every sequence 
8 
=demo.query("select * from EMPLOYEE") 


9 
=A8.select(GENDER:"F") 


10 
=A8.select(DEPT:"Sales") 


11 
=A8.select(age(BIRTHDAY)>=40) 

Perform set operations on table sequences 
12 
=[A9,A10,A11].isect() 
=A9^A10^A11 

13 
=[A9,A10,A11].diff() 
=A9\A10\A11 

14 
=[A9,A10,A11].union() 
=A9&A10&A11 

15 
=[A9,A10,A11].conj() 
=A9A10A11 

16 
=[A9,A10,A11].xunion() 



A 

1 
=100.(rand(100)) 

2 
=A1.top(5,~) 
Get topN in ascending order 
3 
=A1.top(5,~) 
Get topN in descending order 
4 
=demo.query("select * from EMPLOYEE ") 

5 
=A4.top(5,SALARY) 
Get 5 lowest SALARY values 
6 
=A4.top(5;SALARY) 
Get records holding 5 highest SALARY values 

A 

1 
[1,2,3] 

2 
[5,6,7] 

3 
=A1++A2 
alignment addition 
4 
=A1A2 
alignment subtraction 
5 
=A1**A2 
alignment multiplication 
6 
=A1//A2 
alignment division 
7 
=A1%%A2 
mod operation 

A 

1 
=to(100).sort(rand()) 

2 
=A1.median(:4)A1.max() 
Define the number of segments 
3 
=A1.((n=~,A2.pseg@r(n))) 
Find which segment each value belongs to 
4 
=A3.(A2(~+1)) 
Represent the value with max value in its segment 
5 
=A1.min()A1.median(:4) 
Define the number of segments 
6 
=A1.((n=~,A5.segp(n))) 
Represent the value with min value in its segment 

A 

1 
[1,2,3] 

2 
[2,3,4] 

3 
[3,4,5] 

4 
=A1.((x=~,A2.((y=~,A3.(x*y*~))))) 
Calculate Cartesian products in a triplevel loop 

A 

1 
=10.iterate([~~(2),~~(1)+~~(2)],[1,1]) 
