random(ZZ,ZZ) -- get a random integer or real number

Synopsis

Function: random
Optional inputs:
- Density => ..., default value 1, make a random module map
- Height => ..., default value 10, get a random homogeneous element from a graded ring
- MaximalRank => ..., default value false, make a random module map
- UpperTriangular => ..., default value false, make a random module map

Description

Synopsis

Usage:

random(low, high)

random high
Inputs:
- low, an integer or a real number,
- high, an integer or a real number,
Outputs:
- an integer, a random integer or real number of the same precision

If only high is given, the output will be in the range [0, high).

i1 : random 57

o1 = 43

i2 : random 10^50

o2 = 27966429632588001730589592232989755722230769700437

i3 : tally apply(100, i -> random 7)

o3 = Tally{0 => 9 }
           1 => 16
           2 => 11
           3 => 15
           4 => 14
           5 => 11
           6 => 24

o3 : Tally

i4 : random 3.14

o4 = 2.00442043654275

o4 : RR (of precision 53)

i5 : random 3p200

o5 = 2.36205053124502582315258035615520745776119608181772539683754

o5 : RR (of precision 200)

If, in addition, low is given, the output will be in the range [low, high]

i6 : for i to 10 list random(100,200)

o6 = {195, 135, 192, 166, 106, 140, 103, 170, 125, 199, 160}

o6 : List

i7 : tally apply(100, i -> random(10,15))

o7 = Tally{10 => 20}
           11 => 17
           12 => 14
           13 => 12
           14 => 21
           15 => 16

o7 : Tally

i8 : random(10.,20.)

o8 = 10.7510624000419

o8 : RR (of precision 53)

i9 : random(10p100,20p100)

o9 = 17.0331906463037320747251282121

o9 : RR (of precision 100)

Ways to use this method: