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macros.gms
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macros.gms
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*-------------------------------------------------------------------------------
* macros.gms
*
* Define macros to simplify complex and repetitive expressions
*-------------------------------------------------------------------------------
* Build a polynomial expression
$if not defined polydeg set polydeg 'Set of polynomial degrees' / deg0*deg11 /;
$macro poly(x,coeff) sum(polydeg$(coeff), (coeff)*(x)**(ord(polydeg)-1))
* Sum expression, defined with the set 'ss', over the subset 'sd'
$macro cast(expression,ss,sd) sum(&ss$(sameas(&ss,&sd)), &expression)
* Return true (>0), if the set 'small' belongs to the set 'big'
$macro xiny(small,big) sum(&big$sameas(&big,&small),1)
*-------------------------------------------------------------------------------
* Specific macros
* Sum child in the CES tree, in post_tables.gms
$macro sumjchild(x,jset,anode) sum(j$map_j(&anode,j), cast(&x,&jset,j))
* store model results, in solve_macros.gms
$macro savereport(reg) solrep('®','objval')=witch_®.objval;\
solrep('®','solvestat')=witch_®.solvestat;\
solrep('®','modelstat')=witch_®.modelstat;\
solrep('®','iterusd')=witch_®.iterusd;\
solrep('®','resusd')=witch_®.resusd;\
solrep('®','numvar')=witch_®.numvar;\
solrep('®','numequ')=witch_®.numequ;\
solrep('®','numnz')=witch_®.numnz;\
solrep('®','numvarproj')=witch_®.numvarproj;\
solrep('®','numinfes')=witch_®.numinfes;\
solrep('®','numnopt')=witch_®.numnopt;\
solrep('®','domusd')=witch_®.domusd;
* Select numiter iterations
$macro last_iter(numiter) ((ord(ssiter) le ord(siter)) and (ord(ssiter) ge (ord(siter) - (&numiter - 1))))
*-------------------------------------------------------------------------------
* Load variables from startgdx
* Read and set the variable level from the start GDX,
* if the level is not found in the gdx, default is used
$macro loadvar(var,setdep,default) \
prevexecerrors = execerror; last_load_went_wrong=0; \
execute_load '%startgdx%', &var; \
if(execerror gt prevexecerrors, \
&var.l&&setdep = &default; \
execerror = prevexecerrors; \
last_load_went_wrong=1)
* Load variable level and specify bounds
* if the level is not found in the gdx, default is set as level
$macro loadvarbnd(var,setdep,default,bndlo,bndup) \
loadvar(var,setdep,default); \
&var.lo&&setdep = &bndlo; \
&var.up&&setdep = &bndup; \
&var.l&&setdep$(&var.l&&setdep<&bndlo) = &bndlo; \
&var.l&&setdep$(&var.l&&setdep>&bndup) = &bndup;
$macro loadvarbndcond(var,setdep,cond,default,bndlo,bndup) \
loadvar(var,'&&setdep$(&&cond)',default); \
&var.lo&&setdep$(&&cond) = &bndlo; \
&var.up&&setdep$(&&cond) = &bndup; \
&var.l&&setdep$((&&cond) and (&var.l&&setdep<&bndlo)) = &bndlo; \
&var.l&&setdep$((&&cond) and (&var.l&&setdep>&bndup)) = &bndup;
* Load from the same parameter but with first ssp index. Name starts with ssp_
$macro load_from_ssp(par,idx,ssp,suxfile) \
parameter ssp_&par(*,&&idx); \
execute_loaddc '%datapath%data_&suxfile' ssp_∥ \
&par(&&idx) = ssp_&par('&ssp',&&idx);
* Tracking error parameters
parameter prevexecerrors, last_load_went_wrong;
*-------------------------------------------------------------------------------
* log some message
file output;
$macro putlog(msg) \
put output; \
put_utility 'log' / &msg; \
putclose output;
*-------------------------------------------------------------------------------
* Load parameters from startgdx
$ifthen.st not set startgdx2
$macro loadpar(par,setdep,default) \
prevexecerrors = execerror; last_load_went_wrong=0; \
execute_load '%startgdx%', ∥ \
if(execerror gt prevexecerrors, &par&&setdep = &default; execerror = prevexecerrors; last_load_went_wrong=1)
$else.st
$macro loadpar(par,setdep,default) \
prevexecerrors = execerror; last_load_went_wrong=0; \
execute_load '%startgdx%', ∥ \
if(execerror gt prevexecerrors, \
execerror = prevexecerrors; \
execute_load '%startgdx2%', ∥ \
if(execerror gt prevexecerrors, \
&par&&setdep = &default; execerror = prevexecerrors; last_load_went_wrong=1))
$endif.st
*-------------------------------------------------------------------------------
* coalition
$macro mapn(clt) map_clt_n(&clt,n)
$macro mapnn(clt) map_clt_n(&clt,nn)
* time horizon
$macro mapn_th(clt) (map_clt_n(&clt,n) and (not tfix(t)) and (year(t) le yeoh))
$macro mapn_th1(clt) (map_clt_n(&clt,n) and (not tfix(tp1)) and pre(t,tp1) and (year(t) lt yeoh))
$macro mapn_th2(clt) (map_clt_n(&clt,n) and (not tfix(tp2)) and pre(t,tp1) and pre(tp1,tp2) and (year(t) lt yeoh))
$macro mapn_th1_last(clt) (map_clt_n(&clt,n) and \
(((not tfix(tp1)) and pre(t,tp1) and (year(t) lt yeoh)) or (year(t) eq yeoh and sameas(t,tp1))))
$macro time_th1_last (((not tfix(tp1)) and pre(t,tp1) and (year(t) lt yeoh)) or (year(t) eq yeoh and sameas(t,tp1)))
* cooperation
$macro cooprd (sum(clt$(map_clt_n(clt,n) and rd_cooperation(rd,clt)),1) eq 1)
$macro nocooprd (sum(clt$(map_clt_n(clt,n) and rd_cooperation(rd,clt)),1) ne 1)
*-------------------------------------------------------------------------------
* Depreciation Rate [TW/TW/yr]
* Let
* A := integral over time of linear 1% depreciation until end of life (than full depreciation)
* = lifetime - 0.01/2 lifetime**2
* B := integral over time of exponential depreciation
* = int((1-delta_en)^x, dx) = - 1/log(1-delta_en)
* We find delta_en such that A = B
$macro depreciation_rate(tech) 1 - exp( 1 / ( - lifetime(&tech,n) + (0.01/2) * lifetime(&tech,n)**2) )
*-------------------------------------------------------------------------------
* Production functions
$macro cobb(out,fac1id,fac1exp,fac2id,fac2exp) \
q0(&out,n)*( \
(&fac1exp/q0(&fac1id,n))**(alpha(&fac1id,n))* \
(&fac2exp/q0(&fac2id,n))**(alpha(&fac2id,n)) \
)
$macro ces(out,fac1id,fac1exp,fac2id,fac2exp) \
q0(&out,n)*( \
alpha(&fac1id,n)*(&fac1exp/q0(&fac1id,n))**rho(&out,t)+ \
alpha(&fac2id,n)*(&fac2exp/q0(&fac2id,n))**rho(&out,t) \
)**(1/rho(&out,t))
$macro ces3(out,fac1id,fac1exp,fac2id,fac2exp,fac3id,fac3exp) \
q0(&out,n)*( \
alpha(&fac1id,n)*(&fac1exp/q0(&fac1id,n))**rho(&out,t)+ \
alpha(&fac2id,n)*(&fac2exp/q0(&fac2id,n))**rho(&out,t)+ \
alpha(&fac3id,n)*(&fac3exp/q0(&fac3id,n))**rho(&out,t) \
)**(1/rho(&out,t))
$macro lin(out,fac1id,fac1exp,fac2id,fac2exp) \
q0(&out,n)*( \
alpha(&fac1id,n)*(&fac1exp/q0(&fac1id,n))+ \
alpha(&fac2id,n)*(&fac2exp/q0(&fac2id,n)) \
)
$macro lin3(out,fac1id,fac1exp,fac2id,fac2exp,fac3id,fac3exp) \
q0(&out,n)*( \
alpha(&fac1id,n)*(&fac1exp/q0(&fac1id,n))+ \
alpha(&fac2id,n)*(&fac2exp/q0(&fac2id,n))+ \
alpha(&fac3id,n)*(&fac3exp/q0(&fac3id,n)) \
)
*-------------------------------------------------------------------------------
* Solve model
$macro savereport_with_loadhandle(clt) \
witch_&clt.handle = remh('&clt'); \
execute_loadhandle witch_&clt; \
savereport(&clt)
$macro checkforproblems(clt) \
if((solrep(&clt,'solvestat') ne 1) or (solrep(&clt,'modelstat') ne 2), \
cproblem(&clt) = yes; \
else cproblem(&clt) = no;)
*-------------------------------------------------------------------------------
* Frozen variables
$macro freezevar(name,idx) \
&name.fx&&idx = &name.l&&idx;
$macro nullvar(name,idx) \
&name.fx&&idx = 0;