elements.txt

!  1 factorial  Take the factorial of a number, vectorising
"  S string delimeter  Syntax sugar for a string, actually a number list
#  1 length  Length of a list
$  1 sublists  Sublists of a list
%  2 modulo  Take the modulo of two numbers, vectorising
&  2 bitwise and  Take the bitwise and of two numbers, vectorising
'  Q map / zipwith  Map a function over a list, or zip two lists and perform a dyadic operation on each pair
(  1 prefixes  Prefixes of a list
)  1 suffixes  Suffixes of a list
*  2 power  Exponentiate one number to another, vectorising
+  2 add  Add two numbers, vectorising
,  2 append  Append a list / number to a list
-  2 sub  Subtract two numbers, vectorising
.  S decimal point  The decimal point in a number
/  2 repeat  Repeat a value a number of times
0  S zero  Literal digit zero, part of a number
1  S one  Literal digit one, part of a number
2  S two  Literal digit two, part of a number
3  S three  Literal digit three, part of a number
4  S four  Literal digit four, part of a number
5  S five  Literal digit five, part of a number
6  S six  Literal digit six, part of a number
7  S seven  Literal digit seven, part of a number
8  S eight  Literal digit eight, part of a number
9  S nine  Literal digit nine, part of a number
:* 2 matrix power  Take the matrix power of a matrix
:< 2 bitshift left  Shift a number left by a number of bits, vectorising
:> 2 bitshift right  Shift a number right by a number of bits, vectorising
:j 2 to complex  Convert a number to a complex number
:Ȧ 2 atan2  Given two arguments, return the arctangent of the quotient of the two arguments
:• 2 matrix multiplication  Multiply two matrices
;$ 1 sublists of permutations  Sublists of permutations
;1 1 build a matrix with 1s at indicies  Build a matrix with 1s at indicies
;A 1 arccos  Arccosine of a number, vectorising
;C 1 cos  Cosine of a number, vectorising
;D 1 determinant  Determinant of a matrix
;F 1 prime factors  Prime factors of a number, vectorising
;G 1 graph adjacency matrix  Graph adjacency matrix of a graph
;I 1 identity matrix  Identity matrix of a given size
;J 1 split complex  Split a complex number into its real and imaginary parts
;L 1 natural log  Natural log of a number, vectorising
;M 1 mean  Mean of a list
;P 1 polyroots  Roots of a polynomial
;R 1 range from 2.. n  Range from 2 to n
;S 1 sin  Sine of a number, vectorising
;T 1 tan  Tangent of a number, vectorising
;b 1 boolean matrix to braille  Boolean matrix to braille
;c 1 cosh  Cosine hyperbolic of a number, vectorising
;f 1 nth fibonacci number  Nth fibonacci number
;l 1 nth lucas number  Nth lucas number
;m 1 Mirror  Mirror a list
;r 1 range from 0...n  Range from 0 to n
;s 1 sinh  Sine hyperbolic of a number, vectorising
;t 1 tanh  Tangent hyperbolic of a number, vectorising
;° 1 degrees to radians  Convert degrees to radians
;² 1 is perfect square  Is a number a perfect square
;Ċ 1 sec  Secant of a number, vectorising
;ċ 1 nth catalan number  Nth catalan number
;Ġ 1 graph distance matrix  Graph distance matrix of a graph
;Ȧ 1 arctan  Arctangent of a number, vectorising
;Ḃ 1 bounce depth 1  Mirror a list, vectorising at depth 1
;Ṗ 1 primes  Primes up to a number
;Ṡ 1 csc  Cosecant of a number, vectorising
;Ṫ 1 cot  Cotangent of a number, vectorising
;Ạ 1 arcsin  Arcsine of a number, vectorising
;√ 1 integer square root  Integer square root of a number
<  2 less  Less than
=  2 equal  Equal
>  2 more  More than
?  1 random floats  Random float between 0 and 1
A  1 absolute value  Absolute value of a number, vectorising
B  1 to binary Convert a number to binary
C  1 complement Complement of a number, vectorising
D  1 to digits Convert a number to digits
E  1 all equal All equal
F  1 flatten Flatten a list
G  1 group equal elements by indicies Group equal elements by indicies
H  1 head popping  Remove the first item of a list
I  1 increments  Differences between successive elements of a list
J  1 range of length  Range from 0 to length of a list
K  1 cumulative sum  Cumulative sum of a list
L  1 last popping  Remove the last item of a list
M  1 square  Square a number, vectorising
N  1 neck  Neck of a list
O  1 identity  Do nothing
P  1 permutations  Permutations of a list
Q  1 half  Halve a number
R  1 reverse on depth 1  Reverse a list, vectorising at depth 1
S  1 sort  Sort a list
T  1 tail  Remove the last item of a list
U  1 unique  Unique elements of a list
V  1 is prime  Is a number prime
W  1 where  Generate a list where each value in the first list becomes that many copies of its index
X  1 split into 2  Split a list into two lists
Y  1 elements at even indicies   Elements at even indicies of a list
Z  1 transpose  Transpose a matrix
[  S start list  Start a list
\  1 unrepeat  Lengths of runs of identical values
]  S end list  End a list
^  2 bitwise xor  Take the bitwise xor of two numbers, vectorising
_( 0 "()"
_+ 0 [1,-1]
_- 0 [-1,1]
_/ 0 "/\\"
_0 0 [0,0]
_1 0 [1,1]
_2 0 [2,2]
_< 0 "<>"
_A 0 "ABCDEFGHIJKLMNOPQRSTUVWXYZ"
_D 0 [[0,1],[1,0],[0,-1],[-1,0]]
_H 0 "Hello, World!"
_P 0 phi
_R 0 printable ascii
_S 0 ඞ
_V 0 "AEIOU"
_W 0 "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789_"
_Y 0 "AEIOUY"
_[ 0 "[]"
_a 0 "abcdefghijklmnopqrstuvwxyz"
_d 0 [[1,1],[1,0],[1,-1],[0,1],[0,0],[0,-1],[-1,1],[-1,0],[-1,-1]]
_e 0 e
_h 0 "hello world"
_p 0 pi
_v 0 "aeiou"
_x 0 "0123456789abcdef"
_y 0 "aeiouy"
_{ 0 "{}"
_Ạ 0 "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz"
_₀ 0 128
_₁ 0 256
_₂ 0 512
_₃ 0 1024
_₄ 0 2048
_₅ 0 4096
_₆ 0 8192
_₇ 0 4294967296
_∞ 0 infinity
`  Q scanl1  Scan left by a function
a  2 and  Logical and
b  2 to base  Convert a number to a base
c  2 binomial coefficient  Binomial coefficient of two numbers
d  2 divmod  Divide and modulo two numbers
e  2 join each of one to other 
f  2 filter drop  Remove elements from a list which are in another
g  2 gcd  Greatest common divisor of two numbers
h  2 head  First n items of a list
i  2 index into  Index into a list
j  S complex number delimeter  Complex number delimeter e.g 1j2
l  2 lcm  Least common multiple of two numbers
m  2 min  Minimum of two numbers
n  2 floor div  Floor division of two numbers
o  2 split at occurence  Split a list on a certain value
p  2 pick
q  2 quit  
r  2 range inclusive  Inclusive range betwen two numbers
s  2 split into chunks  Split a list into chunks of a certain length
t  2 tail  Last n items of a list
u  2 find for each  Find a value in a list for each value in another list
v  2 or  Logical or
w  2 windows  Sliding windows of a list of a certain length
x  2 max  Maximum of two numbers
y  2 join  Join two lists
z  2 zip   Zip two lists together
{  1 decrement  Decrement a number, vectorising
|  2 bitwise or  Take the bitwise or of two numbers, vectorising
}  1 increment  Increment a number, vectorising
~  1 bitwise not  Take the bitwise not of a number, vectorising
¨  Q quick map  Map a function over a list
¬  1 not  Logical not
¯  S negative number  Prefix to signify a negative number, e.g ¯1. works with decimals / complex
°  Q apply at  Apply a function at a certain index
±  1 sign  Sign of a number, vectorising
²  Q previous chain as dyad  ???
³  Q next chain as nilad  ???
´  Q foldl1  Fold left by a function
¹  Q previous chain as monad  Turn the previous chain into a monad
Ç  1 split into chunks of length 2  Split a list into chunks of length 2
Ð  1 double  Double a number, vectorising
×  2 mul  Multiply two numbers, vectorising
÷  2 divide  Divide two numbers, vectorising
Ă  1 any and all - return 0 if z is empty, or contains a falsey value when flattened, else 1.
Ċ  1 choose random  Choose a random element from a list
ċ  2 count occerence  Replace each value with the cumulative count of that value in the list
Ġ  1 group adjacent equal  Group adjacent equal elements of a list
Ń  1 split on newlines  Split a list on newlines
Ň  1 join on newlines  Join a list on newlines
Ś  1 split on spaces  Split a list on spaces
Š  1 join on spaces  Join a list on spaces
Ż  1 prepend zero  Prepend a zero to a list
ż  2 transpose with filler  Transpose a matrix with filler
Ȧ  1 any  Return 1 if any element of a list is true, else 0.
ʲ  Q scan fixedpoint  Scan a list by a function, returning the fixedpoint of the function
ˀ  Q ternary if  Ternary if - ˀ<cond><truthy><falsy>
˘  Q self args / monad as dyad using left
˙  Q 2 links as nilad
˜  Q swap args / monad as dyad using right
˝  Q foldl
ˢ  Q sort
Π  1 product
Σ  1 sum
φ  1 flatten 1 depth
ᐣ  Q n-compose
ᴰ  Q 2 links as dyad
ᴹ  Q 2 links as monad
ᴺ  Q all neighbours
ᵀ  Q truthy indices after applying
ᵂ  Q while
ᵈ  Q 3 links as dyad
ᵍ  Q filter drop
ᵐ  Q 3 links as monad
ᵔ  Q apply to neighbours
ᵖ  Q Map over prefixes
ᵗ  Q apply transpose apply again
ᵝ  Q call self
ᵟ` Q scanr1
ᵟ´ Q foldr1
ᵟ˝ Q foldr
ᵟᵂ Q cumulative while
ᵟᵍ Q filter drop of permutations
ᵟᶠ Q filter keep of permutations
ᵟ‶ Q scanr
ᵟⁿ Q cumulative repeat n times
ᵠ  Q 4 links as dyad
ᶠ  Q filter keep
ᶲ  Q 4 links as monad
Ḃ  1 from binary  Convert a binary number to a number
ḃ  2 from base  Convert a number from a base
Ḅ  1 bit  Take a number modulo 2
Ḋ  1 from digits  Convert a list of digits to a number
Ḍ  1 divisors  Return the divisors of a number
ḍ  2 is divisible  Return 1 if a number is divisible by another, else 0.
Ḟ  1 indices of falsey  Return the indices of falsey elements in a list
ḟ  2 filter keep  Keep elements from a list which are in another
Ḳ  1 sum depth 1  Sum a list of numbers, vectorising at depth 1
ḷ  2 find all  Find all occurences of one value in a list
Ṅ  1 negate  Negate a number, vectorising
Ṗ  1 print  Print a list
Ṙ  1 reverse  Reverse a list
ṙ  2 range exclusive  Exclusive range between two numbers
Ṛ  1 reciprocal  Reciprocal of a number, vectorising
Ṡ  1 reverse sort  Reverse sort a list
Ṫ  1 indicies of truthy  Return the indices of truthy elements in a list
Ẏ  1 elements at odd indicies  Return the elements at odd indicies of a list
Ẓ  1 zip with filler 0  Zip a list with filler 0
Ạ  1 all  Return 1 if all elements of a list are true, else 0.
ị  2 find  Find a value in a list
Ọ  1 reverse every other  Reverse every other element of a list
ọ  2 order  
‘  Q each right
’  Q each left
•  2 cartesian product  Cartesian product of two lists
‶  Q scanl
⁰  Q previous chain as nilad
ⁱ  Q fold fixedpoint
⁴  Q next chain as monad
⁵  Q next chain as dyad
⁶  Q chain at
⁷  Q set register  Set the register to a value
⁺  Q max
⁻  Q min
⁼  Q is equal after applying
ⁿ  Q repeat n times
₀  0 100 / 1st arg  First CLI argument or 100
₁  0 [0,1] / 2nd arg   Second CLI argument or [0,1]
₂  0 10 / 3rd arg  Third CLI argument or 10
₃  0 16 / 4th arg  Fourth CLI argument or 16
₄  0 32 / 5th arg  Fifth CLI argument or 32
₅  0 64 / 6th arg  Sixth CLI argument or 64
₆  0 26 / 7th arg  Seventh CLI argument or 26
₇  0 get register  get the value of the register
₈  0 read a character  Read a character from stdin
₉  0 read a line   Read a line from stdin
₊  S next 2 as string  Return the next two characters as a string
₋  S next as string  Return the next character as a string
₍  0 chains left argument  Return the chains left argument
₎  0 chains right argument  Return the chains right argument
∆  1 maximum  Maximum of a list
∇  1 minimum  Minimum of a list
∊  2 in  Return 1 if a value is in a list, else 0.
√  1 square root  Square root of a number, vectorising
≠  2 not equal  Return 1 if two numbers are not equal, else 0.
≡  2 strictly equal  Are two values equal?
≢  2 strictly not equal  Are two values not equal?
≤  2 less or equal
≥  2 more or equal  Is one number greater than or equal to the other?
⊂  1 enclose  Wrap a value in a list
⊆  1 enclose if not  Wrap a value in a list if it is not in a list
⊏  2 everyth element  Every nth element of a list
⊢  2 right  Right argument
⊣  2 left  Left argument
⋈  2 pair  Pair two values
⌈  1 ceil  Ceiling of a number / real part of a complex number, vectorising
⌊  1 floor  Floor of a number / imaginary part of a complex number, vectorising
⌜  Q outer product
⌽  2 rotate
⍋  1 grade up  Indices of a list sorted by their values
⍒  1 grade down  Indices of a list sorted by their values, reversed
⍝  S comment  Comment out whatever comes next
⍪  2 prepend  Prepend one value to another
⍳  1 iota  Given a list of dimensions, generate a matrix where each value is its coordinate in the matrix
⍴  2 reshape  
⍸  1 range from 1...n  Range from 1...n