Solving Fizz Buzz with Cosines

Background Context: I am a machine vision engineer working with the Halcon vision library and HDevelop to write Halcon code. Below is an example of a program I wrote using Halcon:

* Generate a tuple from 1 to 1000 and name it 'Sequence' tuple_gen_sequence (1, 1000, 1, Sequence)

* Replace elements in 'Sequence' divisible by 3 with 'Fizz', storing the result in 'SequenceModThree' tuple_mod (Sequence, 3, Mod) tuple_find (Mod, 0, Indices) tuple_replace (Sequence, Indices, 'Fizz', SequenceModThree)

* Replace elements in 'Sequence' divisible by 5 with 'Buzz', storing the result in 'SequenceModFive' tuple_mod (Sequence, 5, Mod) tuple_find (Mod, 0, Indices) tuple_replace (SequenceModThree, Indices, 'Buzz', SequenceModFive)

* Replace elements in 'Sequence' divisible by 15 with 'FizzBuzz', storing the final result in 'SequenceFinal' tuple_mod (Sequence, 15, Mod) tuple_find (Mod, 0, Indices) tuple_replace (SequenceModFive, Indices, 'FizzBuzz', SequenceFinal)

Alternatively, this process can be written more compactly using inline operators:

tuple_gen_sequence (1, 1000, 1, Sequence) tempThree := replace(Sequence, find(Sequence % 3, 0), 'Fizz') tempFive := replace(tempThree, find(Sequence % 5, 0), 'Buzz') FinalSequence := replace(tempFive, find(Sequence % 15, 0), 'FizzBuzz')

In this program, I applied a vectorization approach, which is an efficient technique for processing large datasets. Instead of iterating through each element individually in a loop (a comparatively slower process), I applied operations directly to the entire data sequence in one step. This method takes advantage of Halcon's optimized, low-level implementations to significantly improve performance and streamline computations.