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function [tlogpostkernel,loglikelihood] = tempered_likelihood(postkernelfun, xparam, lambda, Prior)
% Evaluate tempered likelihood (posterior kernel)
%
% INPUTS
% - postkernelfun [handle] Function handle for the opposite of the posterior kernel.
% - xparam [double] n×1 vector of parameters.
% - lambda [double] scalar between 0 and 1, weight on the posterior kernel.
% - Prior [dprior] Prior specification.
%
% OUTPUTS
% - tlogpostkernel [double] scalar, value of the tempered posterior kernel.
% - loglikelihood [double] scalar, value of the log likelihood.
% Copyright © 2022-2023 Dynare Team
%
% This file is part of Dynare.
%
% Dynare is free software: you can redistribute it and/or modify
% it under the terms of the GNU General Public License as published by
% the Free Software Foundation, either version 3 of the License, or
% (at your option) any later version.
%
% Dynare is distributed in the hope that it will be useful,
% but WITHOUT ANY WARRANTY; without even the implied warranty of
% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
% GNU General Public License for more details.
%
% You should have received a copy of the GNU General Public License
% along with Dynare. If not, see <https://www.gnu.org/licenses/>.
logpostkernel = -postkernelfun(xparam);
logprior = Prior.density(xparam);
loglikelihood = logpostkernel-logprior;
tlogpostkernel = lambda*loglikelihood + logprior;
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