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#include <cctk.h>
#include <cctk_Parameters.h>
#include <loopcontrol.h>
#include <algorithm>
#include <cassert>
#include <cmath>
#include "operator_prototypes_3d.hh"
#include "typeprops.hh"
using namespace std;
namespace CarpetLib {
#define SRCIND3(i,j,k) \
index3 (srcioff + (i), srcjoff + (j), srckoff + (k), \
srcipadext, srcjpadext, srckpadext, \
srciext, srcjext, srckext)
#define DSTIND3(i,j,k) \
index3 (dstioff + (i), dstjoff + (j), dstkoff + (k), \
dstipadext, dstjpadext, dstkpadext, \
dstiext, dstjext, dstkext)
// This operator offers third-order accurate restriction operators for cell
// centered grids when use_higher_order_restriction is set. This interpolation
// is done for samples at the cell centres (so this is not a ppm scheme or
// anything like that). It really only fits a polynomial of the form
// f(x,y,z) = \sum_{i,j,k=0}^3 a_{i,j,k} x^i y^j z^k
// to the fine cells and evaluates at x=y=z=0. So it is good for the metric,
// but bad for matter (since it will destroy the conservation). Because of
// this it should not be used for grid functions whose transport operator is
// not WENO or ENO which hopefully excludes all matter variables.
template <typename T>
void
restrict_3d_cc_o3_rf2 (T const * restrict const src,
ivect3 const & restrict srcpadext,
ivect3 const & restrict srcext,
T * restrict const dst,
ivect3 const & restrict dstpadext,
ivect3 const & restrict dstext,
ibbox3 const & restrict srcbbox,
ibbox3 const & restrict dstbbox,
ibbox3 const & restrict,
ibbox3 const & restrict regbbox,
void * extraargs)
{
assert (not extraargs);
DECLARE_CCTK_PARAMETERS;
typedef typename typeprops<T>::real RT;
if (any (srcbbox.stride() >= regbbox.stride() or
dstbbox.stride() != regbbox.stride()))
{
CCTK_WARN (0, "Internal error: strides disagree");
}
if (any (reffact2 * srcbbox.stride() != dstbbox.stride())) {
CCTK_WARN (0, "Internal error: destination strides are not twice the source strides");
}
// This could be handled, but is likely to point to an error
// elsewhere
if (regbbox.empty()) {
CCTK_WARN (0, "Internal error: region extent is empty");
}
if (not regbbox.expanded_for(srcbbox).expand(1,1).is_contained_in(srcbbox) or
not regbbox.is_contained_in(dstbbox))
{
cerr << "srcbbox: " << srcbbox << endl
<< "dstbbox: " << dstbbox << endl
<< "regbbox: " << regbbox << endl;
CCTK_WARN (0, "Internal error: region extent is not contained in array extent");
}
ivect3 const regext = regbbox.shape() / regbbox.stride();
assert (all (srcbbox.stride() % 2 == 0));
assert (all ((regbbox.lower() - srcbbox.lower() - srcbbox.stride() / 2) %
srcbbox.stride() == 0));
ivect3 const srcoff =
(regbbox.lower() - srcbbox.lower() - srcbbox.stride() / 2) /
srcbbox.stride();
assert (all ((regbbox.lower() - dstbbox.lower()) % dstbbox.stride() == 0));
ivect3 const dstoff =
(regbbox.lower() - dstbbox.lower()) / dstbbox.stride();
int const srcipadext = srcpadext[0];
int const srcjpadext = srcpadext[1];
int const srckpadext = srcpadext[2];
int const dstipadext = dstpadext[0];
int const dstjpadext = dstpadext[1];
int const dstkpadext = dstpadext[2];
int const srciext = srcext[0];
int const srcjext = srcext[1];
int const srckext = srcext[2];
int const dstiext = dstext[0];
int const dstjext = dstext[1];
int const dstkext = dstext[2];
int const regiext = regext[0];
int const regjext = regext[1];
int const regkext = regext[2];
int const srcioff = srcoff[0];
int const srcjoff = srcoff[1];
int const srckoff = srcoff[2];
int const dstioff = dstoff[0];
int const dstjoff = dstoff[1];
int const dstkoff = dstoff[2];
RT const den = 4096;
RT const f1 = 1/den;
RT const f2 = 9/den;
RT const f3 = 81/den;
RT const f4 = 729/den;
// Loop over coarse region
#pragma omp parallel
CCTK_LOOP3(restrict_3d_cc_o3_rf2,
i,j,k, 0,0,0, regiext,regjext,regkext,
dstipadext,dstjpadext,dstkpadext)
{
#ifdef CARPET_DEBUG
if(not (2 * k + 2 + srckoff < srckext and
2 * j + 2 + srcjoff < srcjext and
2 * i + 2 + srcioff < srciext and
2 * k - 1 + srckoff >= 0 and
2 * j - 1 + srcjoff >= 0 and
2 * i - 1 + srcioff >= 0))
{
cout << "restrict_3d_cc_o3_rf2.cc\n";
cout << "regext " << regext << "\n";
cout << "srcext " << srcext << "\n";
cout << "srcbbox=" << srcbbox << "\n";
cout << "dstbbox=" << dstbbox << "\n";
cout << "regbbox=" << regbbox << "\n";
cout << "i,j,k=" << i << " " << j << " " << k << "\n";
assert(2 * k + 2 + srckoff < srckext);
assert(2 * j + 2 + srcjoff < srcjext);
assert(2 * i + 2 + srcioff < srciext);
assert(2 * k - 1 + srckoff >= 0);
assert(2 * j - 1 + srcjoff >= 0);
assert(2 * i - 1 + srcioff >= 0);
}
#endif
dst [DSTIND3(i, j, k)] =
- f1 * src [SRCIND3(2*i-1, 2*j-1, 2*k-1)]
+ f2 * src [SRCIND3(2*i , 2*j-1, 2*k-1)]
+ f2 * src [SRCIND3(2*i+1, 2*j-1, 2*k-1)]
- f1 * src [SRCIND3(2*i+2, 2*j-1, 2*k-1)]
+ f2 * src [SRCIND3(2*i-1, 2*j , 2*k-1)]
- f3 * src [SRCIND3(2*i , 2*j , 2*k-1)]
- f3 * src [SRCIND3(2*i+1, 2*j , 2*k-1)]
+ f2 * src [SRCIND3(2*i+2, 2*j , 2*k-1)]
+ f2 * src [SRCIND3(2*i-1, 2*j+1, 2*k-1)]
- f3 * src [SRCIND3(2*i , 2*j+1, 2*k-1)]
- f3 * src [SRCIND3(2*i+1, 2*j+1, 2*k-1)]
+ f2 * src [SRCIND3(2*i+2, 2*j+1, 2*k-1)]
- f1 * src [SRCIND3(2*i-1, 2*j+2, 2*k-1)]
+ f2 * src [SRCIND3(2*i , 2*j+2, 2*k-1)]
+ f2 * src [SRCIND3(2*i+1, 2*j+2, 2*k-1)]
- f1 * src [SRCIND3(2*i+2, 2*j+2, 2*k-1)]
+ f2 * src [SRCIND3(2*i-1, 2*j-1, 2*k )]
- f3 * src [SRCIND3(2*i , 2*j-1, 2*k )]
- f3 * src [SRCIND3(2*i+1, 2*j-1, 2*k )]
+ f2 * src [SRCIND3(2*i+2, 2*j-1, 2*k )]
- f3 * src [SRCIND3(2*i-1, 2*j , 2*k )]
+ f4 * src [SRCIND3(2*i , 2*j , 2*k )]
+ f4 * src [SRCIND3(2*i+1, 2*j , 2*k )]
- f3 * src [SRCIND3(2*i+2, 2*j , 2*k )]
- f3 * src [SRCIND3(2*i-1, 2*j+1, 2*k )]
+ f4 * src [SRCIND3(2*i , 2*j+1, 2*k )]
+ f4 * src [SRCIND3(2*i+1, 2*j+1, 2*k )]
- f3 * src [SRCIND3(2*i+2, 2*j+1, 2*k )]
+ f2 * src [SRCIND3(2*i-1, 2*j+2, 2*k )]
- f3 * src [SRCIND3(2*i , 2*j+2, 2*k )]
- f3 * src [SRCIND3(2*i+1, 2*j+2, 2*k )]
+ f2 * src [SRCIND3(2*i+2, 2*j+2, 2*k )]
+ f2 * src [SRCIND3(2*i-1, 2*j-1, 2*k+1)]
- f3 * src [SRCIND3(2*i , 2*j-1, 2*k+1)]
- f3 * src [SRCIND3(2*i+1, 2*j-1, 2*k+1)]
+ f2 * src [SRCIND3(2*i+2, 2*j-1, 2*k+1)]
- f3 * src [SRCIND3(2*i-1, 2*j , 2*k+1)]
+ f4 * src [SRCIND3(2*i , 2*j , 2*k+1)]
+ f4 * src [SRCIND3(2*i+1, 2*j , 2*k+1)]
- f3 * src [SRCIND3(2*i+2, 2*j , 2*k+1)]
- f3 * src [SRCIND3(2*i-1, 2*j+1, 2*k+1)]
+ f4 * src [SRCIND3(2*i , 2*j+1, 2*k+1)]
+ f4 * src [SRCIND3(2*i+1, 2*j+1, 2*k+1)]
- f3 * src [SRCIND3(2*i+2, 2*j+1, 2*k+1)]
+ f2 * src [SRCIND3(2*i-1, 2*j+2, 2*k+1)]
- f3 * src [SRCIND3(2*i , 2*j+2, 2*k+1)]
- f3 * src [SRCIND3(2*i+1, 2*j+2, 2*k+1)]
+ f2 * src [SRCIND3(2*i+2, 2*j+2, 2*k+1)]
- f1 * src [SRCIND3(2*i-1, 2*j-1, 2*k+2)]
+ f2 * src [SRCIND3(2*i , 2*j-1, 2*k+2)]
+ f2 * src [SRCIND3(2*i+1, 2*j-1, 2*k+2)]
- f1 * src [SRCIND3(2*i+2, 2*j-1, 2*k+2)]
+ f2 * src [SRCIND3(2*i-1, 2*j , 2*k+2)]
- f3 * src [SRCIND3(2*i , 2*j , 2*k+2)]
- f3 * src [SRCIND3(2*i+1, 2*j , 2*k+2)]
+ f2 * src [SRCIND3(2*i+2, 2*j , 2*k+2)]
+ f2 * src [SRCIND3(2*i-1, 2*j+1, 2*k+2)]
- f3 * src [SRCIND3(2*i , 2*j+1, 2*k+2)]
- f3 * src [SRCIND3(2*i+1, 2*j+1, 2*k+2)]
+ f2 * src [SRCIND3(2*i+2, 2*j+1, 2*k+2)]
- f1 * src [SRCIND3(2*i-1, 2*j+2, 2*k+2)]
+ f2 * src [SRCIND3(2*i , 2*j+2, 2*k+2)]
+ f2 * src [SRCIND3(2*i+1, 2*j+2, 2*k+2)]
- f1 * src [SRCIND3(2*i+2, 2*j+2, 2*k+2)];
} CCTK_ENDLOOP3(restrict_3d_cc_o3_rf2);
}
#define TYPECASE(N,T) \
template \
void \
restrict_3d_cc_o3_rf2 (T const * restrict const src, \
ivect3 const & restrict srcpadext, \
ivect3 const & restrict srcext, \
T * restrict const dst, \
ivect3 const & restrict dstpadext, \
ivect3 const & restrict dstext, \
ibbox3 const & restrict srcbbox, \
ibbox3 const & restrict dstbbox, \
ibbox3 const & restrict, \
ibbox3 const & restrict regbbox, \
void * extraargs);
#include "typecase.hh"
#undef TYPECASE
} // namespace CarpetLib
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