Add print method for BayesMallowsSMC2 objects

[Copilot]

Implements S3 print method for BayesMallowsSMC2 class to display model summary when objects are printed at the console.

Implementation

• R/print.R: Print method showing particles, timepoints, items, clusters, log marginal likelihood, final ESS, and resampling events
• man/print.BayesMallowsSMC2.Rd: CRAN-compliant documentation with examples
• tests/testthat/test-print.R: Tests covering complete and partial ranking scenarios
• NAMESPACE: Exports S3method(print, BayesMallowsSMC2)

Method includes input validation for required fields and uses sprintf for consistent alignment.

Example

mod <- compute_sequentially(
  complete_rankings,
  hyperparameters = set_hyperparameters(n_items = 5),
  smc_options = set_smc_options(n_particles = 100, n_particle_filters = 1)
)

print(mod)
#> BayesMallowsSMC2 Model
#> ======================
#> 
#> Number of particles:      100
#> Number of timepoints:     10
#> Number of items:          5
#> Number of clusters:       1
#> 
#> Log marginal likelihood:  -245.67
#> Final ESS:                89.34
#> Resampling events:        3/10

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Original prompt

---

This section details on the original issue you should resolve

<issue_title>Create print method</issue_title>
<issue_description></issue_description>

Comments on the Issue (you are @copilot in this section)

@osorensen Create a basic print method for the BayesMallowsSMC2 S3 class which is returned by compute_sequentially. @osorensen The function needs to be document according to CRAN standards.

• Fixes Create print method #23

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