random

random n -- for n an integer, yields a random integer in the range 0 .. n-1.
random x -- for real x, yields a random real number in the range 0 .. x.
random R -- yields a random element of the ring R.
random(n,R) -- yields a random homogeneous element of degree n in the ring R, where n is an integer or a list of integers.
random(F,G) -- yields a random graded, degree 0, map from the free module G to the free module F.

Warning: doesn't correctly handle the case when n an integer is larger than 2^31-1.

i1 : tally apply(100, i -> random 10)



o1 = Tally{0 => 11}

           1 => 13

           2 => 8

           3 => 11

           4 => 11

           5 => 7

           6 => 15

           7 => 8

           8 => 8

           9 => 8



o1 : Tally

i2 : R = ZZ/101[t];

i3 : sum(7,i->random 101 * t^i)



        6      5     4     3      2

o3 = 35t  - 19t  + 7t  + 8t  - 19t  + 4t - 8



o3 : R

i4 : R = ZZ/101[x,y];

i5 : random(R^{1,2,3},R^{1,2,3})



o5 = {-1} | 40             0       0  |

     {-2} | -36x+27y       -18     0  |

     {-3} | 33x2-17xy+19y2 21x-28y 22 |



             3       3

o5 : Matrix R  <--- R