diff --git a/doc/macroprocessor/macroprocessor.pdf b/doc/macroprocessor/macroprocessor.pdf new file mode 100644 index 000000000..9186ef2b5 Binary files /dev/null and b/doc/macroprocessor/macroprocessor.pdf differ diff --git a/doc/macroprocessor/macroprocessor.tex b/doc/macroprocessor/macroprocessor.tex new file mode 100644 index 000000000..145e32766 --- /dev/null +++ b/doc/macroprocessor/macroprocessor.tex @@ -0,0 +1,516 @@ +\documentclass{beamer} +\usepackage[utf8]{inputenc} +\usepackage{amsmath} + +\mode +{ + \usepackage{pgfpages} + \pgfpagesuselayout{4 on 1}[a4paper,border shrink=3mm,landscape] + \usetheme{Madrid} + \usecolortheme{seagull} +} + +\mode +{ + \usetheme{Madrid} +} + +\title{The Dynare Macro-processor} +\subtitle{Dynare Summer School 2008} +\author{Sébastien Villemot} +\institute[BoFrance - PSE]{Bank of France - Paris School of Economics} +\date{July 3, 2008} + +\AtBeginSection[] +{ + \begin{frame} + \frametitle{Outline} + \tableofcontents[currentsection] + \end{frame} +} + +\begin{document} + +\begin{frame} + \titlepage +\end{frame} + + +\begin{frame} + \frametitle{Outline} + \tableofcontents +\end{frame} + +\section{Overview} + +\begin{frame} + \frametitle{Motivation} + \begin{itemize} + \item The \textbf{Dynare language} (used in MOD files) is well suited for describing economic models + \item However, it lacks some useful features, such as: + \begin{itemize} + \item a loop mechanism for automatically repeating similar blocks of equations (such as in multi-country models) + \item an operator for indexed sums or products inside equations + \item a mechanism for splitting large MOD-files in smaller modular files + \item the possibility of conditionally including some equations or some runtime commands + \end{itemize} + \item The \textbf{Dynare Macro-language} was specifically designed to address these issues + \item Being flexible and fairly general, it can also be helpful in other situations + \end{itemize} +\end{frame} + +\begin{frame} + \frametitle{Design of the macro-language} + \begin{itemize} + \item The Dynare Macro-language provides a new set of \textbf{macro-commands} which can be inserted inside MOD-files + \item Language features include: + \begin{itemize} + \item file inclusion + \item loops + \item conditional inclusion (if/then/else structures) + \item expression substitution + \end{itemize} +% \item Technically, this language is independent of the basic Dynare language, and is processed by a separate component of the Dynare pre-processor, called the \textbf{macro-processor} + \item The macro-processor transforms a MOD file with macro-commands into a MOD file without macro-commands (doing text expansions/inclusions) and then feeds it to the Dynare parser + \item The key point to understand is that the macro-processor only does \textbf{text substitution} (like the C preprocessor or the PHP language) + \end{itemize} +\end{frame} + +\begin{frame} + \frametitle{Old Dynare design} + \includegraphics[width=0.95\linewidth]{old-design.pdf} +\end{frame} + +\begin{frame} + \frametitle{New Dynare design} + \includegraphics[width=0.95\linewidth]{new-design.pdf} +\end{frame} + +\section{Syntax} + +\begin{frame}[fragile=singleslide] + \frametitle{Macro Directives} + \begin{itemize} + \item Directives begin with an at-sign followed by a pound sign (\verb+@#+) and occupy exactly one line + \item However, a directive can be continued on next line by adding two anti-slashes (\verb+\\+) at the end of the line to be continued + \item A directive produces no output, but serves to give instructions to the macro processor + \end{itemize} +\end{frame} + +\begin{frame}[fragile=singleslide] + \frametitle{Inclusion directive} + This directive simply includes the content of another file at the place where it is inserted. + \begin{block}{Syntax} + \verb+@#include "+\textit{filename}\verb+"+ + \end{block} + \begin{block}{Example} +\begin{verbatim} +@#include "modelcomponent.mod" +\end{verbatim} + \end{block} + Note that it is possible to include a file from an included file (nested includes). +\end{frame} + +\begin{frame} +\frametitle{Variables} +\begin{itemize} +\item The macro processor maintains its own list of variables (distinct of model variables and of Matlab variables) +\item Variables can be of four types: + \begin{itemize} + \item integer + \item character string (declared between \textit{double} quotes) + \item array of integers + \item array of strings + \end{itemize} +\item No boolean type: + \begin{itemize} + \item false is represented by integer zero + \item true is any non-null integer + \end{itemize} +\end{itemize} +\end{frame} + +\begin{frame}[fragile=singleslide] + \frametitle{Macro-expressions (1/2)} + It is possible to construct macro-expressions, using standard operators. + \begin{block}{Operators on integers} + \begin{itemize} + \item arithmetic operators: \texttt{+,-,*,/} + \item comparison operators: \texttt{<,>,<=,>=,==,!=} + \item logical operators: \verb+&&,||,!+ + \item integer ranges: \texttt{1:4} is equivalent to integer array \texttt{[1,2,3,4]} + \end{itemize} + \end{block} + + \begin{block}{Operators on character strings} + \begin{itemize} + \item comparison operators: \texttt{==,!=} + \item concatenation: \texttt{+} + \item extraction of substrings: if \texttt{s} is a string, then one can write \texttt{s[3]} or \texttt{s[4:6]} + \end{itemize} + \end{block} +\end{frame} + +\begin{frame}[fragile=singleslide] + \frametitle{Macro-expressions (2/2)} + \begin{block}{Operators on arrays} + \begin{itemize} + \item dereferencing: if \texttt{v} is an array, then \texttt{v[2]} is its $2^{\textrm{nd}}$ element + \item concatenation: \texttt{+} + \item difference \texttt{-}: returns the first operand from which the elements of the second operand have been removed + \item extraction of sub-arrays: \textit{e.g.} \texttt{v[4:6]} + \end{itemize} + \end{block} + + Macro-expressions can be used at two places: + \begin{itemize} + \item inside macro directives, directly + \item in the body of the MOD-file, between an at-sign and curly braces (like \verb+@{expr}+): the macro processor will substitute the expression with its value + \end{itemize} +\end{frame} + +\begin{frame}[fragile=singleslide] + \frametitle{Define directive} + + The value of a macro-variable can be defined with the \verb+@#define+ directive. + + \begin{block}{Syntax} + \verb+@#define +\textit{variable\_name}\verb+ = +\textit{expression} + \end{block} + + \begin{block}{Examples} +\begin{verbatim} +@#define x = 5 +@#define y = "foo" +@#define v = [ 1, 2, 4 ] +@#define w = [ "foo", "bar" ] +@#define z = 3+v[2] +\end{verbatim} + \end{block} +\end{frame} + +\begin{frame}[fragile=singleslide] + \frametitle{Expression substitution} + \framesubtitle{Dummy example} + \begin{block}{Before macro-processing} +\begin{verbatim} +@#define x = [ "B", "C" ] +@#define i = 2 + +model; + A = @{x[i]}; +end; +\end{verbatim} + \end{block} + \begin{block}{After macro-processing} +\begin{verbatim} +model; + A = C; +end; +\end{verbatim} + \end{block} +\end{frame} + +\begin{frame}[fragile=singleslide] + \frametitle{Loop directive} + \begin{block}{Syntax} +\verb+@#for +\textit{variable\_name}\verb+ in +\textit{array\_expr} \\ +\verb+ +\textit{loop\_body} \\ +\verb+@#endfor+ + \end{block} + \begin{block}{Example: before macro-processing} + \small +\begin{verbatim} +model; +@#for country in [ "home", "foreign" ] + GDP_@{country} = K_@{country}^a * L_@{country}^(1-a) +@#endfor +end; +\end{verbatim} + \normalsize + \end{block} + + \begin{block}{Example: after macro-processing} + \small +\begin{verbatim} +model; + GDP_home = K_home^a * L_home^(1-a); + GDP_foreign = K_foreign^a * L_foreign^(1-a); +end; +\end{verbatim} + \normalsize + \end{block} +\end{frame} + +\begin{frame}[fragile=singleslide] + \frametitle{Conditional inclusion directive} + + \begin{columns}[T] + \column{0.47\linewidth} + \begin{block}{Syntax 1} +\verb+@#if +\textit{integer\_expr} \\ +\verb+ +\textit{body included if expr != 0} \\ +\verb+@#endif+ + \end{block} + + \column{0.47\linewidth} + \begin{block}{Syntax 2} +\verb+@#if +\textit{integer\_expr} \\ +\verb+ +\textit{body included if expr != 0} \\ +\verb+@#else+ \\ +\verb+ +\textit{body included if expr == 0} \\ +\verb+@#endif+ + \end{block} + \end{columns} + + \begin{block}{Example: alternative monetary policy rules} + \scriptsize +\begin{verbatim} +@#define linear_mon_pol = ... +... +model; +@#if linear_mon_pol + i = w*i(-1) + (1-w)*i_ss + w2*(pie-piestar) +@#else + i = i(-1)^w * i_ss^(1-w) * (pie/piestar)^w2 +@#endif +... +end; +\end{verbatim} + \scriptsize + \end{block} +\end{frame} + +\begin{frame}[fragile=singleslide] + \frametitle{Echo and error directives} + + \begin{itemize} + \item The echo directive will simply display a message on standard output + \item The error directive will display the message and make Dynare stop (only makes sense inside a conditional inclusion directive) + \end{itemize} + + \begin{block}{Syntax} +\verb+@#echo +\textit{string\_expr} \\ +\verb+@#error +\textit{string\_expr} + \end{block} + + \begin{block}{Examples} +\begin{verbatim} +@#echo "Information message." +@#error "Error message!" +\end{verbatim} + \end{block} +\end{frame} + +\begin{frame} + \frametitle{Saving the macro-expanded MOD file} + \begin{itemize} + \item For \textbf{debugging or learning} purposes, it is possible to save the output of the macro-processor + \item This output is a valid MOD-file, obtained after processing the macro-commands of the original MOD-file +% \item Useful to understand how the macro-processor works + \item Just add the \texttt{savemacro} option on the Dynare command line (after the name of your MOD-file) + \item If MOD file is \texttt{filename.mod}, then the macro-expanded version will be saved in \texttt{filename-macroexp.mod} + \end{itemize} +\end{frame} + +% \begin{frame} +% \frametitle{Note on error messages} +% \end{frame} + +\section{Typical usages} + +\begin{frame}[fragile=singleslide] + \frametitle{Modularization} + \begin{itemize} + \item The \verb+@#include+ directive can be used to split MOD-files into several modular components + \item Example setup: + \begin{itemize} + \item \texttt{modeldesc.mod}: contains variable declarations, model equations and shocks declarations + \item \texttt{simul.mod}: includes \texttt{modeldesc.mod}, calibrates parameters and runs stochastic simulations + \item \texttt{estim.mod}: includes \texttt{modeldesc.mod}, declares priors on parameters and runs bayesian estimation + \item Dynare can be called on \texttt{simul.mod} and \texttt{estim.mod} (but it makes no sense to run it on \texttt{modeldesc.mod}) + \end{itemize} + \end{itemize} +\end{frame} + +\begin{frame}[fragile=singleslide] + \frametitle{Indexed sums or products} + \framesubtitle{Example: moving average} + \begin{columns}[T] + \column{0.47\linewidth} + \begin{block}{Before macro-processing} +\begin{verbatim} +@#define window = 2 + +var x MA_x; +... +model; +... +MA_x = 1/@{2*window+1}*( +@#for i in -window:window + +x(@{i}) +@#endfor + ); +... +end; +\end{verbatim} + \end{block} + \column{0.47\linewidth} + \begin{block}{After macro-processing} +\begin{verbatim} +var x MA_x; +... +model; +... +MA_x = 1/5*( + +x(-2) + +x(-1) + +x(0) + +x(1) + +x(2) + ); +... +end; +\end{verbatim} + \end{block} + \end{columns} +\end{frame} + +\begin{frame}[fragile=singleslide] + \frametitle{Multi-country models} + \framesubtitle{MOD-file skeleton example} + \scriptsize +\begin{verbatim} +@#define countries = [ "US", "EU", "AS", "JP", "RC" ] +@#define nth_co = "US" + +@#for co in countries +var Y_@{co} K_@{co} L_@{co} i_@{co} E_@{co} ...; +parameters a_@{co} ...; +varexo ...; +@#endfor + +model; +@#for co in countries + Y_@{co} = K_@{co}^a_@{co} * L_@{co}^(1-a_@{co}); +... +@# if co != nth_co + (1+i_@{co}) = (1+i_@{nth_co}) * E_@{co}(+1) / E_@{co}; // UIP relation +@# else + E_@{co} = 1; +@# endif +@#endfor +end; +\end{verbatim} + \normalsize +\end{frame} + +\begin{frame} + \frametitle{Endogeneizing parameters (1/3)} + \begin{itemize} + \item When doing the steady-state calibration of the model, it may be useful to consider a parameter as an endogenous (and vice-versa) + \item Example: + \begin{gather*} + y = \left(\alpha^{\frac{1}{\xi}} \ell^{1-\frac{1}{\xi}} + (1-\alpha)^{\frac{1}{\xi}}k^{1-\frac{1}{\xi}}\right)^{\frac{\xi}{\xi - 1}} \\ + lab\_rat = \frac{w \ell}{p y} + \end{gather*} + \item During simulation or estimation, the share parameter $\alpha$ is a parameter, and $lab\_rat$ is an endogenous variable + \item But for steady-state calibration, we may want to impose an economically relevant value for $lab\_rat$, and deduce the implied value for $\alpha$ \\ + $\Rightarrow$ during calibration, $\alpha$ is endogenous and $lab\_rat$ is a parameter + \end{itemize} +\end{frame} + +\begin{frame}[fragile=singleslide] + \frametitle{Endogeneizing parameters (2/3)} + \begin{itemize} + \item Create \texttt{modeqs.mod} with variable declarations and model equations + \item For declaration of \texttt{alpha} and \texttt{lab\_rat}: + \footnotesize +\begin{verbatim} +@#if steady + var alpha; + parameter lab_rat; +@#else + parameter alpha; + var lab_rat; +@#endif +\end{verbatim} + \normalsize + \item Create \texttt{steady.mod}: + \begin{itemize} + \item begins with \verb+@#define steady = 1+ + \item then with \verb+@#include "modeqs.mod"+ + \item initializes parameters (including \texttt{lab\_rat}, excluding \texttt{alpha}) + \item computes steady state (using hints for endogenous, including \texttt{alpha}) + \item saves values of parameters and endogenous at steady-state to a file + \end{itemize} + \end{itemize} +\end{frame} + +\begin{frame}[fragile=singleslide] + \frametitle{Endogeneizing parameters (3/3)} + \begin{itemize} + \item Create \texttt{simul.mod}: + \begin{itemize} + \item begins with \verb+@#define steady = 0+ + \item then with \verb+@#include "modeqs.mod"+ + \item loads values of parameters and endogenous at steady-state from file + \item computes simulations + \end{itemize} + \item \textit{Note:} functions for saving and loading parameters and endogenous are not yet in Dynare distribution (they should be soon, ask me if you're interested) + \end{itemize} +\end{frame} + +% \begin{frame} +% \frametitle{Matlab loops vs macro-processor loops} +% \end{frame} + +\section{Conclusion} + +\begin{frame}[fragile=singleslide] + \frametitle{Possible future developments} + \begin{itemize} + \item Find a nicer syntax for indexed sums/products + \item Implement other control structures: \texttt{elsif}, \texttt{switch/case}, \texttt{while/until} loops + \item Implement macro-functions (or templates), with a syntax like: + \small + \verb+@define QUADRATIC_COST(x, x_ss, phi) = phi/2*(x/x_ss-1)^2+ + \normalsize + \end{itemize} +\end{frame} + +\begin{frame} + \frametitle{Dynare for Octave (1/2)} + \begin{itemize} + \item GNU Octave (or simply Octave) is a high-level language, primarily intended for numerical computations + \item Basically, it is a free clone of Matlab + \item Runs on MS Windows, Linux and MacOS + \item Advantages: + \begin{itemize} + \item mostly compatible with Matlab: same syntax, almost same set of functions + \item free software, no license needed + \item source code available + \item software under constant development + \item dynamic and responsive community of developers + \end{itemize} + \item Inconvenients: + \begin{itemize} + \item slower than Matlab + \item less user-friendly (no fancy graphical user interface) + \end{itemize} + \end{itemize} +\end{frame} + +\begin{frame} + \frametitle{Dynare for Octave (2/2)} + \begin{itemize} + \item Small adjustments have been made in recent versions of Dynare to make it run on Octave + \item This makes Dynare 100\% free software + \item If you're interested in using Dynare for Octave, go to: \\ + \url{http://www.cepremap.cnrs.fr/DynareWiki/DynareOctave} + \item Adapting Dynare for Octave is still a work in progress \\ + $\Rightarrow$ feedback is welcome + \end{itemize} +\end{frame} + +\end{document} diff --git a/doc/macroprocessor/new-design.pdf b/doc/macroprocessor/new-design.pdf new file mode 100644 index 000000000..9811093ed --- /dev/null +++ b/doc/macroprocessor/new-design.pdf @@ -0,0 +1,5535 @@ +%PDF-1.4 +%Âéî¡ +3 0 obj +<< + /Type /Catalog + /Pages 2 0 R +>> +endobj +4 0 obj +<< + /Type /Page + /Parent 2 0 R + /MediaBox [ 0 0 689.68566895 306.25714111 ] + /Resources 5 0 R + /Contents 6 0 R + /Group + << /Type /Group + /S /Transparency + /CS /DeviceRGB + >> +>> +endobj +6 0 obj +<< + /Length 7 0 R +>> +stream +0.8 0 0 -0.8 0 307 cm +q +1 0 0 1 0 0 cm +q +1 0 0 1 -78.642861 -39.058769 cm +q +1 0 0 1 467.50002 289.64286 cm +q +0 0 0 rg +312.30752563 56.64789963 m +312.30752563 42.33149338 l +315.15908813 42.33149338 l +318.54776001 52.46821213 l +318.86025197 53.41222578 319.08811633 54.11860528 319.23135376 54.58735275 c +319.39410561 54.066522 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