# exp, xexp¶

Raise to a power

## exp¶

Raise e to a power

exp x     exp[x]

Where

• x is numeric
• $$e$$ is the base of natural logarithms

returns as a float $$e^x$$, or null if x is null.

q)exp 1
2.718282

q)exp 0.5
1.648721

q)exp -4.2 0 0.1 0n 0w
0.01499558 1 1.105171 0n 0w

q)exp 00:00:00 00:00:12 12:00:00
1 162754.8 0w

### Implicit iteration¶

exp is an atomic function. It applies to dictionaries and tables

q)exp(1;2 3)
2.718282
7.389056 20.08554

q)k:k xkey update k:abcdefghi from t:flip d:ab!(10 -21 3;4 5 -6)

q)exp d
a| 22026.47 7.58256e-10 20.08554
b| 54.59815 148.4132    0.002478752

q)exp t
a           b
-----------------------
22026.47    54.59815
7.58256e-10 148.4132
20.08554    0.002478752

q)exp k
k  | a           b
---| -----------------------
abc| 22026.47    54.59815
def| 7.58256e-10 148.4132
ghi| 20.08554    0.002478752

### Domain and range¶

domain b g x h i j e f c s p m d z n u v t
range  f . f f f f f f f . f f f z f f f f

Range: fz

## xexp¶

Raise x to a power

x xexp y    xexp[x;y]

Where x and y are numerics, returns as a float where x is

• non-negative, xy
• null or negative, 0n
q)2 xexp 8
256f

q)-2 2 xexp .5
0n 1.414214

q)1.5 xexp -4.2 0 0.1 0n 0w
0.1821448 1 1.04138 0n 0w

The calculation is performed as exp y * log x.

If y is integer, this is not identical to prd y#x.

q)\P 0
q)prd 3#2
8
q)2 xexp 3
7.9999999999999982
q)exp 3 * log 2
7.9999999999999982

### Implicit iteration¶

xexp is an atomic function. It applies to dictionaries and keyed tables

q)3 xexp(1;2 3)
3f
9 27f

q)k:k xkey update k:abcdefghi from t:flip d:ab!(10 -21 3;4 5 -6)

q)3 xexp d
a| 59049 9.559907e-11 27
b| 81    243          0.001371742

q)3 xexp k
k  | a            b
---| ------------------------
abc| 59049        81
def| 9.559907e-11 243
ghi| 27           0.001371742

### Domain and range¶

xexp| b g x h i j e f c s p m d z n u v t
----| -----------------------------------
b   | f . f f f f f f . . . . . . . . . .
g   | . . . . . . . . . . . . . . . . . .
x   | f . f f f f f f . . . . . . . . . .
h   | f . f f f f f f . . . . . . . . . .
i   | f . f f f f f f . . . . . . . . . .
j   | f . f f f f f f . . . . . . . . . .
e   | f . f f f f f f . . . . . . . . . .
f   | f . f f f f f f . . . . . . . . . .
c   | . . . . . . . . . . . . . . . . . .
s   | . . . . . . . . . . . . . . . . . .
p   | . . . . . . . . . . . . . . . . . .
m   | . . . . . . . . . . . . . . . . . .
d   | . . . . . . . . . . . . . . . . . .
z   | . . . . . . . . . . . . . . . . . .
n   | . . . . . . . . . . . . . . . . . .
u   | . . . . . . . . . . . . . . . . . .
v   | . . . . . . . . . . . . . . . . . .
t   | . . . . . . . . . . . . . . . . . .

Range: f