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* demo-fortran.F
* test program for the Cuba library
* last modified 12 Aug 11 th
program CubaTest
implicit none
integer ndim, ncomp, last, seed, mineval, maxeval
double precision epsrel, epsabs, userdata
parameter (ndim = 3)
parameter (ncomp = 1)
parameter (userdata = 0)
parameter (epsrel = 1D-3)
parameter (epsabs = 1D-12)
parameter (last = 4)
parameter (seed = 0)
parameter (mineval = 0)
parameter (maxeval = 50000)
integer nstart, nincrease, nbatch, gridno
character*(*) statefile
parameter (nstart = 1000)
parameter (nincrease = 500)
parameter (nbatch = 1000)
parameter (gridno = 0)
parameter (statefile = "")
integer nnew
double precision flatness
parameter (nnew = 1000)
parameter (flatness = 25D0)
integer key1, key2, key3, maxpass
double precision border, maxchisq, mindeviation
integer ngiven, ldxgiven, nextra
parameter (key1 = 47)
parameter (key2 = 1)
parameter (key3 = 1)
parameter (maxpass = 5)
parameter (border = 0D0)
parameter (maxchisq = 10D0)
parameter (mindeviation = .25D0)
parameter (ngiven = 0)
parameter (ldxgiven = ndim)
parameter (nextra = 0)
integer key
parameter (key = 0)
external integrand
double precision integral(ncomp), error(ncomp), prob(ncomp)
integer verbose, nregions, neval, fail
character*16 env
integer c
call getenv("CUBAVERBOSE", env)
verbose = 2
read(env, *, iostat=fail, end=999, err=999) verbose
999 continue
print *, "-------------------- Vegas test --------------------"
call vegas(ndim, ncomp, integrand, userdata,
& epsrel, epsabs, verbose, seed,
& mineval, maxeval, nstart, nincrease, nbatch,
& gridno, statefile,
& neval, fail, integral, error, prob)
print *, "neval =", neval
print *, "fail =", fail
print '(F20.12," +- ",F20.12," p = ",F8.3)',
& (integral(c), error(c), prob(c), c = 1, ncomp)
print *, " "
print *, "-------------------- Suave test --------------------"
call suave(ndim, ncomp, integrand, userdata,
& epsrel, epsabs, verbose + last, seed,
& mineval, maxeval, nnew, flatness,
& nregions, neval, fail, integral, error, prob)
print *, "nregions =", nregions
print *, "neval =", neval
print *, "fail =", fail
print '(F20.12," +- ",F20.12," p = ",F8.3)',
& (integral(c), error(c), prob(c), c = 1, ncomp)
print *, " "
print *, "------------------- Divonne test -------------------"
call divonne(ndim, ncomp, integrand, userdata,
& epsrel, epsabs, verbose, seed,
& mineval, maxeval, key1, key2, key3, maxpass,
& border, maxchisq, mindeviation,
& ngiven, ldxgiven, 0, nextra, 0,
& nregions, neval, fail, integral, error, prob)
print *, "nregions =", nregions
print *, "neval =", neval
print *, "fail =", fail
print '(F20.12," +- ",F20.12," p = ",F8.3)',
& (integral(c), error(c), prob(c), c = 1, ncomp)
print *, " "
print *, "-------------------- Cuhre test --------------------"
call cuhre(ndim, ncomp, integrand, userdata,
& epsrel, epsabs, verbose + last,
& mineval, maxeval, key,
& nregions, neval, fail, integral, error, prob)
print *, "nregions =", nregions
print *, "neval =", neval
print *, "fail =", fail
print '(F20.12," +- ",F20.12," p = ",F8.3)',
& (integral(c), error(c), prob(c), c = 1, ncomp)
end
************************************************************************
integer function integrand(ndim, xx, ncomp, ff)
implicit none
integer ndim, ncomp
double precision xx(*), ff(*)
#define x xx(1)
#define y xx(2)
#define z xx(3)
#define f ff(1)
#define FUN 1
double precision pi, rsq
parameter (pi = 3.14159265358979323846D0)
rsq = x**2 + y**2 + z**2
#if FUN == 1
f = sin(x)*cos(y)*exp(z)
#elif FUN == 2
f = 1/((x + y)**2 + .003D0)*cos(y)*exp(z)
#elif FUN == 3
f = 1/(3.75D0 - cos(pi*x) - cos(pi*y) - cos(pi*z))
#elif FUN == 4
f = abs(rsq - .125D0)
#elif FUN == 5
f = exp(-rsq)
#elif FUN == 6
f = 1/(1 - x*y*z + 1D-10)
#elif FUN == 7
f = sqrt(abs(x - y - z))
#elif FUN == 8
f = exp(-x*y*z)
#elif FUN == 9
f = x**2/(cos(x + y + z + 1) + 5)
#elif FUN == 10
if( x .gt. .5D0 ) then
f = 1/sqrt(x*y*z + 1D-5)
else
f = sqrt(x*y*z)
endif
#else
if( rsq .lt. 1 ) then
f = 1
else
f = 0
endif
#endif
integrand = 0
end
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