G1.sage

load("__common__.sage")

def generator():
    det = randrange(2,8)*choice([-1,1])
    rowOps=[]
    dets=[]
    # random row scaling
    row = randrange(0,4)
    scale = randrange(2,6)*choice([-1,1])
    rowOps.append(rowOp("diagonal",row+1,row+1,scale))
    dets.append(det*scale)
    # random row swapping
    rows = sample([0,1,2,3],2)
    shuffle(rows)
    rowOps.append(rowOp("permutation",rows[0]+1, rows[1]+1))
    dets.append(det*(-1))
    # random row adding 
    rows = sample([0,1,2,3],2)
    shuffle(rows)
    scale = randrange(2,6)*choice([-1,1])
    rowOps.append(rowOp("elementary",rows[0]+1,rows[1]+1,scale))
    dets.append(det)

    #choose two random ops
    ops = sample([0,1,2],3)
    shuffle(ops)
    row_op1 = rowOps[ops[0]]
    det1 = dets[ops[0]]
    row_op2 = rowOps[ops[1]]
    det2 = dets[ops[1]]
    row_op3 = rowOps[ops[2]]
    det3 = dets[ops[2]]


    name1, name2, name3 = sample(["B","C","M","N","P","Q"],3)

    #randomly swap order of ops
    swapped = choice([True,False])


    return {
      "determinant": det,
      "row_op1": row_op1,
      "row_op2": row_op2,
      "row_op3": row_op3,
      "name1": name1,
      "name2": name2,
      "name3": name3,
      "det1": det1,
      "det2": det2,
      "det3": det3
    }