Add integration test for newrate with analytic_derivation

Closes #1935

See merge request !2340

Related to #1935

fix to #1935.

See merge request !2339

fix to #1935. Forced options_.analytic_derivation=-1; must be set before entering dynare_minimize_objective

It should have been done in commit b9af92eb.

By the way, fix a font decoration issue.

[skip ci]

🐛 fix identification bugs

See merge request Dynare/dynare!2333

See commit 2983aafa for the rationale.

In situations where the solution cannot be found for an informational period > 1
using the same completion share as for the first informational period, suggest
to decrease the value of the homotopy_max_completion_share option.

[skip ci]

Use the model simulation based on a first-order local approximation as
the initial guess for the nonlinear solver in each period. Can
speed-up extended path simulations.

We could also consider simulations based on higher order
approximations, but I did not find any significant improvements with a
second order approximation.

manual: correct value of prior_trunc used in code

See merge request !2338

🐛 evaluate_planner_objective.m and discretionary policy: account for purely forward models

See merge request !2334

🐛 fix gsa_sample_file option

See merge request !2335

🐛 fix download link for SS ANOVA package

Closes #1946

See merge request !2336

Various improvements around particle filtering

See merge request !2329

Closes #1946

Also rewrite some descriptions and add examples.

 - fill_
 - ge (>=)
 - gt (>)
 - le (<=)
 - lt (<)
 - hdiff, hdiff_
 - hgrowth, hgrowth_

Capitalization was wrong

Only try to compute planner welfare related to states if there are any

🐛 subst_auxvar.m: account for auxiliary type 5

See merge request !2331

However do not set that option permanently (and also disable RemoveSemicolon by
default), since the clang-format manual states that these options can lead to
incorrect formatting and thus their result should be carefully reviewed.

Erroneously triggered asymptotic Hessian via simulation

Fixes crashes in model_info with differentiate_forward_vars

Preprocessor: fix performance regression on models with many nested model-local variables without leads/lags

Manual: document new syntax for Liu/West online filter

Closes #1948

See merge request !2332

Bug introduced in c4bf6d07.