In this tutorial we learn how combinations of RVecs can be built.
Author: Stefan Wunsch
This notebook tutorial was automatically generated with ROOTBOOK-izer from the macro found in the ROOT repository on Wednesday, April 17, 2024 at 11:24 AM.
import ROOT
from ROOT.VecOps import Take, Combinations
RVec can be sorted in Python with the inbuilt sorting function because PyROOT implements a Python iterator
v1 = ROOT.RVecD(3)
v1[0], v1[1], v1[2] = 1, 2, 3
v2 = ROOT.RVecD(2)
v2[0], v2[1] = -4, -5
To get the indices, which result in all combinations, you can call the following helper. Note that you can also pass the size of the vectors directly.
idx = Combinations(v1, v2)
Next, the respective elements can be taken via the computed indices.
c1 = Take(v1, idx[0])
c2 = Take(v2, idx[1])
Finally, you can perform any set of operations conveniently.
v3 = c1 * c2
print("Combinations of {} and {}:".format(v1, v2))
for i in range(len(v3)):
print("{} * {} = {}".format(c1[i], c2[i], v3[i]))
print
Combinations of { 1.0000000, 2.0000000, 3.0000000 } and { -4.0000000, -5.0000000 }: 1.0 * -4.0 = -4.0 1.0 * -5.0 = -5.0 2.0 * -4.0 = -8.0 2.0 * -5.0 = -10.0 3.0 * -4.0 = -12.0 3.0 * -5.0 = -15.0
<function print>
However, if you want to compute operations on unique combinations of a single RVec, you can perform this as follows.
Get the indices of unique triples for the given vector.
v4 = ROOT.RVecD(4)
v4[0], v4[1], v4[2], v4[3] = 1, 2, 3, 4
idx2 = Combinations(v4, 3)
Take the elements and compute any operation on the returned collections.
c3 = Take(v4, idx2[0])
c4 = Take(v4, idx2[1])
c5 = Take(v4, idx2[2])
v5 = c3 * c4 * c5
print("Unique triples of {}:".format(v4))
for i in range(len(v5)):
print("{} * {} * {} = {}".format(c3[i], c4[i], c5[i], v5[i]))
Unique triples of { 1.0000000, 2.0000000, 3.0000000, 4.0000000 }: 1.0 * 2.0 * 3.0 = 6.0 1.0 * 2.0 * 4.0 = 8.0 1.0 * 3.0 * 4.0 = 12.0 2.0 * 3.0 * 4.0 = 24.0