(cherry picked from commit 5657dc82)

(cherry picked from commit 5bda6afa)

Fixed random bug of MC identification test, occurring when there is no solution at the very first iteration of the MC loop.

(cherry picked from commit 10f8c1ca)

i.e. don't fail when they happen and instead return 0 or Inf
(cherry picked from commit 48672ad1)

This reverts commit 1424cf2e.

in model statement
(cherry picked from commit 50ef5377)

(cherry picked from commit 287b1348)

(cherry picked from commit 5f9d2e64)

2) force no analytic derivative with mode_check;
(cherry picked from commit 40e1e60f)

1) allow to compute derivatives starting from NUMERICAL derivatives of jacobian and steady state: this has a minor cost in accuracy and allow apply without errors identification and estimation with numerical derivatives;
2) added trap in dynare_estimation_init: if steadystate changes param values, automaticly shifts to numerical derivs of jacoban and steady state +  analytic derivatives of all the rest;
3) bug fixes for 2nd order derivatives w.r.t. model parameters;

**** (Manually cherry picked from ed4d3734)

Contributed by Johannes Pfeifer
(cherry picked from commit 57b7c0e9)

(cherry picked from commit 61c3145e)

- Recover value of nosaddle from _core routine (bug fix when type is 'prior');
(cherry picked from commit 99c35e22)

(cherry picked from commit 4cba20f2)

(cherry picked from commit 307d5d5d)

(cherry picked from commit 87ad5773)

(cherry picked from commit bd9af2fa)

(cherry picked from commit a74f7c02)

(cherry picked from commit 2510454b)

(cherry picked from commit 3307b4b7)

(cherry picked from commit aa62568a)

(cherry picked from commit 2f43f3a0)

(cherry picked from commit 6bff503a)

add test for conditional macro statements(cherry picked from commit 3bfa2315)

(cherry picked from commit ebc7a783)

(cherry picked from commit f0e43f8a)

vector (including auxiliary variables) even in case of error flag in
evaluating steady state
(cherry picked from commit a6648b59)

The name npar was already used for the subsample loop.
To keep notation more in line with dynare options_ the old npar is renamed to B.
(cherry picked from commit cb2526ba)

doc: provide filename for file created by steady_state_model statement(cherry picked from commit 23ec38b2)

(cherry picked from commit 5539910c)

missing observations
(cherry picked from commit 2fa433f1)