|
|
|
Operator |
Code |
Result |
|
M |
+ |
Signum |
(2.._2)$ + |
2 1 0 _1 _2
Result: 1 1 0 _1 _1 |
|
D |
+ |
Plus |
1 2 3 + (6 5 4) |
7 7 7 |
|
M |
- |
Negate |
_2 0 3 - |
2 0 _3 |
|
D |
- |
Minus |
1 2 3 - (4 2 _2) |
_3 0 5 |
|
D |
* |
Times |
1 2 3 * (4 5 6) |
4 10 18 |
|
M |
/ |
Reciprocal |
1.1e2 110 0.5 / |
0.00909091 0.00909091
2 |
|
D |
/ |
Divided By |
10 _2 30 /(2 3.1
1.2e3) |
5 _0.645161 0.025 |
|
D |
<< |
Smaller of |
1 2 3 << (3 2
1) |
1 2 1 |
|
M |
| |
Absolute value |
(2.._2) $ | |
2 1 0 _1 _2
2 1 0 1 2 |
|
D |
| |
Union |
1..5 | (_2 2 4 8) |
_2 1 2 3 4 5 8 |
|
D |
>> |
Larger of |
1 2 3 >> (3 2
1) |
3 2 3 |
|
M |
% |
Fractional
part |
1.23 _1.23 3 % |
0.23 _0.23 0 |
|
D |
% |
Modulo |
3 2 1 0 _1 _2 _3 %
2 |
1 0 1 0 _1 0 _1 |
|
M |
& |
Unique |
10 %% 10?10 =>x $;
x & |
6 5 4 9 10 10 2 8 3 10
2 3 4 5 6 8 9 10 |
|
D |
& |
Intersect |
(1..5) & (3..7) |
3 4 5 |
|
D |
&& |
Filter |
10 %% 10 ? 10 =>n$;
n && (2 4 6 8 10)$; |
6 5 4 9 10 10 2 8 3 10
6 4 10 10 2 8 10 |
|
D |
= |
Equality |
1 2 3 = (1 2 3)$;
1 4 3 = (1 2 3)$;
1 2 3 = (1 2 3 4)$; |
1
0
0 |
|
D |
*< |
Mark Elements LT
|
1 2 3 4 *< (1 5 4)
%** |
Bit[I65R1C4:B]0010 |
|
D |
*<= |
Mark Elements
LE |
1 2 3 4 *<= (1 5 4)
%** |
Bit[I137R1C4:B]1011 |
|
D |
*= |
Mark Elements
EQ |
1 2 3 4 *= (1 5 4)
%** |
Bit[I209R1C4:B]1001 |
|
D |
*>= |
Mark Elements
GE |
1 2 3 4 *>= (1 5 4)
%** |
Bit[I281R1C4:B]1101 |
|
D |
*> |
Mark Elements
GT |
1 2 3 4 *> (1 5 4)
%** |
Bit[I353R1C4:B]0100 |
|
D |
*~= |
Mark Elements
NE |
1 2 3 4 *~= (1 5 4)
%** |
Bit[I65R1C4:B]0110 |
|
M |
%- |
Half Round |
#nil ,1.51 1.5 1.49 1.1
1.0 0.99 =>x;
'<0>'(x) $;
'<1>'(x %-) $;
'<2>'(x- %-) $; |
<0>Nil 1.51 1.5 1.49 1.1 1 0.99
<1>Nil 2 2 1 1 1 1
<2>Nil _2 _2 _1 _1 _1 _1 |
|
D |
%- |
Near Round |
100/7 =>x; '
<0>'(x) $;
'<1>'(x %- (.5 .05 .0025 3) ) $;
'<2>'(x- %- (.5 .05 .0025 3) ) $; |
<0>14.2857
<1>14.5 14.3 14.285 15
<2>_14.5 _14.3 _14.285 _15 |
|
M |
%\ |
Floor |
#nil ,2.1 2 1.9 1.1 0 .9
=>x;
'<0>'(x) $;
'<1>'(x %\) $;
'<2>'(x- %\) $; |
<0>Nil 2.1 2 1.9 1.1 0 0.9
<1>Nil 2 2 1 1 0 0
<2>Nil _2 _2 _1 _1 0 0 |
|
D |
%\ |
Nearest Lower |
100/7 =>x;
'<0>'(x) $;
'<1>'(x %\ (.5 .05 .0025 3) ) $;
'<2>'(x- %\ (.5 .05 .0025 3) ) $; |
<0>14.2857
<1>14 14.25 14.285 12
<2>_14 _14.25 _14.285 _12 |
|
M |
%/ |
Ceiling |
#nil ,2.1 2 1.9 1.1 0 .9
=>x;
'<0>'(x) $;
'<1>'(x %/) $;
'<2>'(x- %/) $; |
<0>Nil 2.1 2 1.9 1.1 0 0.9
<1>Nil 3 2 2 2 0 1
<2>Nil _3 _2 _2 _2 0 _1 |
|
D |
%/ |
Nearest Higher |
100/7 =>x;
'<0>'(x) $;
'<1>'(x %/ (.5 .05 .0025 3) ) $;
'<2>'(x- %/ (.5 .05 .0025 3) ) $; |
2.34 2.34 _2.32
_2.34 |
|
M |
\+ |
Sum |
10 20 30\+ |
60 |
|
M |
\+% |
Average |
10 20 30\+% |
20 |
|
M |
\* |
Product |
10 20 30\* |
6000 |
|
M |
\<< |
Smallest |
10 20 30\<< |
10 |
|
M |
\>> |
Largest |
10 20 30\>> |
30 |
|
M |
\- |
Median |
1000->1000? \-
|
499
In development |
|
M |
\= |
Mode |
1000->1000? =>r #
$;
r \= =>mode $;
r=mode \+ $; |
1000
387
4
In development |
|
D |
*+ |
Compounding |
1000 900 1100=>a;
1.07 1.06 1.05=>i;
a *+ i |
1070 2088.2
3347.61 |
|
M |
/+ |
Running Total |
10 20 30/+ |
10 30 60 |
|
D |
/+ |
Moving Sum |
10 20 30 40/+ 2 |
10 30 50 70 |
|
M |
/* |
Running
Product |
1.1 1.1 1.1/* |
1.1 1.21 1.331 |
|
D |
/* |
Moving Product |
4 5 3 7 7 6/100+1 /*
2 |
1.04 1.092 1.0815
1.1021 1.1449 1.1342 |
|
M |
/<< |
Running
Smallest |
10 15 5 23 2
8/<< |
10 10 5 5 2 2 |
|
D |
/<< |
Moving
Smallest |
10 15 5 23 2 8 7
/<< 3 |
10 10 5 5 2 2 2 |
|
M |
/>> |
Running
Largest |
10 15 5 23 2
8/>> |
10 15 15 23 23 23 |
|
D |
/>> |
Moving Largest |
10 15 5 23 2 8 7
/>> 3 |
10 15 15 23 23 23 8
|
|
M |
/+% |
Running Average |
10 20 30 40/+% |
10 15 20 25 |
|
D |
/+% |
Moving Average |
10 20 30 40/+% 2 |
10 15 25 35 |
|
M |
/+%% |
Total Ratio |
9 5 12 /+%% =>x $;
x \+ |
0.346154 0.192308
0.461538
Result: 1 |
|
M |
-- |
First
Difference |
1 1.2 1.1 .9 1.1 -- |
0 0.2 _0.1 _0.2
0.2 |
|
D |
-- |
N-Difference |
1 2 3 2 5 -- 2 |
0 0 2 0 2 |
|
D |
%> |
Base |
2 10 48 %> (24 60 60)
|
7848 |
|
D |
%< |
Rep |
7848 %< (24 60
60) |
2 10 48 |
|
M |
! |
Factorial |
8! |
40320 |
|
D |
n ! r |
Combinations |
4 ! 2,,\ |
1 2
1 3
2 3
1 4
2 4
3 4 |
|
D |
n #! r |
Number of
Combinations |
4 #! 2 |
6 |
|
D |
n !! r |
Permutations |
4 !! 2 ,,\ |
1 2
1 3
...
...
4 2
4 3 |
|
D |
n #!! r |
Number of
Permutations |
4 #!! 2 |
12 |
|
N |
^ |
e |
^ |
2.71828 |
|
M |
^ |
Power of e |
1 2 3^ |
2.71828 7.38906
20.0855 |
|
D |
^ |
Power |
10 9 ^ (2 .5) |
100 3 |
|
M |
#LN |
Natural Log |
1 2 3 ^ $ #LN |
2.71828 7.38906
20.0855
1 2 3 |
|
D |
#LN |
Log base N |
5 ^ (1 2 3) $ #LN 5 |
5 25 125
1 2 3 |
|
M |
#LOG |
Common Log |
10 ^ (1 2 3) $ #LOG |
10 100 1000
1 2 3 |
|
D |
#LOG |
Log base N |
2 ^ (1 2 3) $ #LOG
2 |
2 4 8
1 2 3 |