src/grid/cartesian.h

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    #define GRIDNAME "Cartesian"
    #define dimension 2
    #define GHOSTS 1
    
    #define _I     (point.i - 1)
    #define _J     (point.j - 1)
    #define _DELTA (1./point.n)
    
    typedef struct {
      Grid g;
      char * d;
      int n;
    } Cartesian;
    
    struct _Point {
      int i, j, level, n;
    };
    static Point last_point;
    
    #define cartesian ((Cartesian *)grid)
    
    @def data(k,l,m) ((double *)&cartesian->d[((point.i + k)*(point.n + 2) +
    					 (point.j + l))*datasize]) @
    @define allocated(...) true
    
    @define POINT_VARIABLES VARIABLES
    
    @def foreach()
      OMP_PARALLEL() {
      int ig = 0, jg = 0; NOT_UNUSED(ig); NOT_UNUSED(jg);
      Point point;
      point.n = cartesian->n;
      int _k;
      OMP(omp for schedule(static))
      for (_k = 1; _k <= point.n; _k++) {
        point.i = _k;
        for (point.j = 1; point.j <= point.n; point.j++) {
          POINT_VARIABLES
    @
    @define end_foreach() }}}
    
    @def foreach_face_generic()
      OMP_PARALLEL() {
      int ig = 0, jg = 0; NOT_UNUSED(ig); NOT_UNUSED(jg);
      Point point;
      point.n = cartesian->n;
      int _k;
      OMP(omp for schedule(static))
      for (_k = 1; _k <= point.n + 1; _k++) {
        point.i = _k;
        for (point.j = 1; point.j <= point.n + 1; point.j++) {
          POINT_VARIABLES
    @
    @define end_foreach_face_generic() }}}
    
    @def foreach_vertex()
    foreach_face_generic() {
      x -= Delta/2.; y -= Delta/2.;
    @
    @define end_foreach_vertex() } end_foreach_face_generic()
    
    #define foreach_edge() foreach_face(y,x)
    
    @define is_face_x() (point.j <= point.n)
    @define is_face_y() (point.i <= point.n)
    
    @if TRASH
    @ undef trash
    @ define trash(list) reset(list, undefined)
    @endif
    
    #include "neighbors.h"
    
    void reset (void * alist, double val)
    {
      scalar * list = (scalar *) alist;
      for (int i = 0; i < sq(cartesian->n + 2); i++)
        for (scalar s in list)
          if (!is_constant(s))
    	((double *)(&cartesian->d[i*datasize]))[s.i] = val;
    }
    
    // Boundaries
    
    @def foreach_boundary_dir(l,d)
      OMP_PARALLEL() {
      int ig = 0, jg = 0, kg = 0; NOT_UNUSED(ig); NOT_UNUSED(jg); NOT_UNUSED(kg);
      Point point;
      point.n = cartesian->n;
      int * _i = &point.j;
      if (d == left) {
        point.i = GHOSTS;
        ig = -1;
      }
      else if (d == right) {
        point.i = point.n + GHOSTS - 1;
        ig = 1;
      }
      else if (d == bottom) {
        point.j = GHOSTS;
        _i = &point.i;
        jg = -1;
      }
      else if (d == top) {
        point.j = point.n + GHOSTS - 1;
        _i = &point.i;
        jg = 1;
      }
      int _l;
      OMP(omp for schedule(static))
      for (_l = 0; _l < point.n + 2*GHOSTS; _l++) {
        *_i = _l;
        {
          POINT_VARIABLES
    @
    @def end_foreach_boundary_dir()
        }
      }
      }
    @
    
    @define neighbor(o,p,q) ((Point){point.i+o, point.j+p, point.level, point.n})
    @def is_boundary(point) (point.i < GHOSTS || point.i >= point.n + GHOSTS ||
    			 point.j < GHOSTS || point.j >= point.n + GHOSTS)
    @
    
    @def foreach_boundary(b)
      foreach_boundary_dir (depth(), b)
        if (!is_boundary(point)) {
    @
    @define end_foreach_boundary() } end_foreach_boundary_dir()
    
    // ghost cell coordinates for each direction
    static int _ig[] = {1,-1,0,0}, _jg[] = {0,0,1,-1};
    
    static void box_boundary_level_normal (const Boundary * b, scalar * list, int l)
    {
      int d = ((BoxBoundary *)b)->d;
    
      OMP_PARALLEL() {
        Point point;
        point.n = cartesian->n;
        if (d % 2)
          ig = jg = 0;
        else {
          ig = _ig[d]; jg = _jg[d];
        }
        int _start = GHOSTS, _end = point.n + GHOSTS, _k;  
        OMP(omp for schedule(static))
          for (_k = _start; _k < _end; _k++) {
    	point.i = d > left ? _k : d == right ? point.n + GHOSTS - 1 : GHOSTS;
    	point.j = d < top  ? _k : d == top   ? point.n + GHOSTS - 1 : GHOSTS;
    	Point neighbor = {point.i + ig, point.j + jg};
    	for (scalar s in list) {
    	  scalar b = s.v.x;
    	  val(s,ig,jg) = b.boundary[d] (point, neighbor, s, NULL);
    	}
          }
      }
    }
    
    static void box_boundary_level_tangent (const Boundary * b, 
    					scalar * list, int l)
    {
      int d = ((BoxBoundary *)b)->d;
    
      OMP_PARALLEL() {
        Point point;
        point.n = cartesian->n;
        ig = _ig[d]; jg = _jg[d];
        int _start = GHOSTS, _end = point.n + 2*GHOSTS, _k;
    
        OMP(omp for schedule(static))
          for (_k = _start; _k < _end; _k++) {
    	point.i = d > left ? _k : d == right ? point.n + GHOSTS - 1 : GHOSTS;
    	point.j = d < top  ? _k : d == top   ? point.n + GHOSTS - 1 : GHOSTS;
    	Point neighbor = {point.i + ig, point.j + jg};
    	for (scalar s in list) {
    	  scalar b = s.v.y;
    	  val(s,ig,jg) = b.boundary[d] (point, neighbor, s, NULL);
    	}
          }
      }
    }
    
    static void box_boundary_level (const Boundary * b, scalar * list, int l)
    {
      int d = ((BoxBoundary *)b)->d;
      scalar * centered = NULL, * normal = NULL, * tangent = NULL;
    
      int component = d/2;
      for (scalar s in list)
        if (!is_constant(s)) {
          if (s.face) {
    	if ((&s.d.x)[component]) {
    	  scalar b = s.v.x;
    	  if (b.boundary[d])
    	    normal = list_add (normal, s);
    	}
    	else {
    	  scalar b = s.v.y;
    	  if (b.boundary[d])
    	    tangent = list_add (tangent, s);
    	}
          }	
          else if (s.boundary[d])
    	centered = list_add (centered, s);
        }
    
      OMP_PARALLEL() {
        Point point;
        point.n = cartesian->n;
        ig = _ig[d]; jg = _jg[d];
        int _start = 1, _end = point.n, _k;
        /* traverse corners only for top and bottom */
        if (d > left) { _start--; _end++; }
        OMP(omp for schedule(static))
          for (_k = _start; _k <= _end; _k++) {
    	point.i = d > left ? _k : d == right ? point.n : 1;
    	point.j = d < top  ? _k : d == top   ? point.n : 1;
    	Point neighbor = {point.i + ig, point.j + jg};
    	for (scalar s in centered) {
    	  scalar b = (s.v.x.i < 0 ? s :
    		      s.i == s.v.x.i && d < top ? s.v.x :
    		      s.i == s.v.y.i && d >= top ? s.v.x :
    		      s.v.y);
    	  val(s,ig,jg) = b.boundary[d] (point, neighbor, s, NULL);
    	}
          }
      }
      free (centered);
    
      box_boundary_level_normal (b, normal, l);
      free (normal);
      box_boundary_level_tangent (b, tangent, l);
      free (tangent);
    }
    
    void free_grid (void)
    {
      if (!grid)
        return;
      free_boundaries();
      free (cartesian->d);
      free (cartesian);
      grid = NULL;
    }
    
    void init_grid (int n)
    {
      if (cartesian && n == cartesian->n)
        return;
      free_grid();
      Cartesian * p = qmalloc (1, Cartesian);
      size_t len = (n + 2)*(n + 2)*datasize;
      p->n = N = n;
      p->d = qmalloc (len, char);
      /* trash the data just to make sure it's either explicitly
         initialised or never touched */
      double * v = (double *) p->d;
      for (int i = 0; i < len/sizeof(double); i++)
        v[i] = undefined;
      grid = (Grid *) p;
      reset (all, 0.);
      for (int d = 0; d < nboundary; d++) {
        BoxBoundary * box = qcalloc (1, BoxBoundary);
        box->d = d;
        Boundary * b = (Boundary *) box;
        b->level   = box_boundary_level;
        add_boundary (b);
      }
      // mesh size
      grid->n = grid->tn = sq(n);
    }
    
    void realloc_scalar (void)
    {
      Cartesian * p = cartesian;
      size_t oldatasize = datasize - sizeof(double);
      size_t len = (p->n + 2)*(p->n + 2);
      qrealloc (p->d, len*datasize, char);
      char * data = p->d + (len - 1)*oldatasize;
      for (int i = len - 1; i > 0; i--, data -= oldatasize)
        memmove (data + i*sizeof(double), data, oldatasize);  
    }
    
    struct _locate { double x, y, z; };
    
    Point locate (struct _locate p)
    {
      Point point;
      point.n = cartesian->n;
      point.i = (p.x - X0)/L0*point.n + 1;
      point.j = (p.y - Y0)/L0*point.n + 1;
      point.level = (point.i >= 1 && point.i <= point.n &&
    		 point.j >= 1 && point.j <= point.n) ? 0 : - 1;
      return point;
    }
    
    #include "cartesian-common.h"