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Now computed some plaquettes.
First cut at stencil
This commit is contained in:
@@ -42,7 +42,10 @@ enum NorthSouth {
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South = 0
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};
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const int num_icosahedron_tiles = 10;
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const int IcosahedralPatches = 10;
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const int HemiPatches=IcosahedralPatches/2;
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const int NorthernHemisphere = HemiPatches;
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const int SouthernHemisphere = 0;
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class GridCartesianCrossIcosahedron: public GridCartesian {
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@@ -86,9 +89,12 @@ public:
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assert(simd_layout[0]==1); // Force simd into perpendicular dimensions
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assert(simd_layout[1]==1); // to avoid pole storage complexity interacting with SIMD.
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assert(dimensions[_ndimension-1]==num_icosahedron_tiles);
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assert(dimensions[_ndimension-1]==IcosahedralPatches);
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assert(processor_grid[_ndimension-1]<=2); // Keeps the patches that need a pole on the same node
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// Save a copy of the basic cartesian initialisation volume
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cartesianOsites = this->_osites;
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// allocate the pole storage if we are seeking vertex domain data
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if ( meshType == IcosahedralVertices ) {
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InitPoles();
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@@ -106,16 +112,18 @@ public:
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int southPoleOsite;
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int northPoleOsites;
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int southPoleOsites;
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int cartesianOsites;
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virtual int isIcosahedral(void) override { return 1;}
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virtual int isIcosahedralVertex(void) override { return meshType==IcosahedralVertices;}
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virtual int isIcosahedralEdge (void) override { return meshType==IcosahedralEdges;}
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virtual int ownsNorthPole(void) const override { return hasNorthPole; };
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virtual int NorthPoleOsite(void) const override { return northPoleOsite; };
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virtual int NorthPoleOsites(void) const override { return northPoleOsites; };
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virtual int ownsSouthPole(void) const override { return hasSouthPole; };
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virtual int SouthPoleOsite(void) const override { return southPoleOsite; };
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virtual int SouthPoleOsites(void) const override { return southPoleOsites; };
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virtual int ownsNorthPole(void) const override { return hasNorthPole; };
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virtual int ownsSouthPole(void) const override { return hasSouthPole; };
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virtual int CartesianOsites(void) const override { return cartesianOsites; };
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void InitPoles(void)
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{
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@@ -96,6 +96,7 @@ public:
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virtual int SouthPoleOsite(void) const { return 0; };
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virtual int NorthPoleOsites(void) const { std::cout << "base osites" <<std::endl;return 0; };
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virtual int SouthPoleOsites(void) const { std::cout << "base osites" <<std::endl;return 0; };
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virtual int CartesianOsites(void) const { return this->oSites(); };
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////////////////////////////////////////////////////////////////
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// Checkerboarding interface is virtual and overridden by
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766
Grid/stencil/IcosahedralStencil.h
Normal file
766
Grid/stencil/IcosahedralStencil.h
Normal file
@@ -0,0 +1,766 @@
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/*************************************************************************************
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Grid physics library, www.github.com/paboyle/Grid
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Source file: ./lib/GeneralLocalStencil.h
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Copyright (C) 2019
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Author: Peter Boyle <paboyle@ph.ed.ac.uk>
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This program is free software; you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 2 of the License, or
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(at your option) any later version.
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This program is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License along
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with this program; if not, write to the Free Software Foundation, Inc.,
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51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
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See the full license in the file "LICENSE" in the top level distribution directory
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*************************************************************************************/
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/* END LEGAL */
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#pragma once
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NAMESPACE_BEGIN(Grid);
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// Share with Cartesian Stencil
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struct IcosahedralStencilEntry {
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uint64_t _offset; // 8 bytes
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uint8_t _is_local; // is this with our lattice array (else in a comms buf)
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uint8_t _adjoint; // is this with our lattice array (else in a comms buf)
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uint8_t _polarisation; // which lorentz index on the neighbours patch
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uint8_t _missing_link; //
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};
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enum IcoshedralDirections {
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IcosahedronPatchX = 0,
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IcosahedronPatchY = 1,
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IcosahedronPatchDiagonal=2,
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IcosahedronTime=3
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};
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inline int periAdd(int A,int inc,int L) { return (A+inc+L)%L ; }
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class IcosahedralStencilView {
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public:
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////////////////////////////////////////
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// Basic Grid and stencil info
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////////////////////////////////////////
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int _npoints; // Move to template param?
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IcosahedralStencilEntry* _entries_p;
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accelerator_inline IcosahedralStencilEntry * GetEntry(int point,int osite) const {
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return & this->_entries_p[point+this->_npoints*osite];
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}
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void ViewClose(void){};
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};
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////////////////////////////////////////
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// The Stencil Class itself
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////////////////////////////////////////
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class IcosahedralStencil : public IcosahedralStencilView {
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public:
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typedef IcosahedralStencilView View_type;
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protected:
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GridBase * _grid;
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public:
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GridBase *Grid(void) const { return _grid; }
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View_type View(int mode) const {
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View_type accessor(*( (View_type *) this));
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return accessor;
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}
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// NB x+, y+ is ALWAYS present, as are the forward 3 directions for links owned by each site
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//
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// These are VERTEX mesh neigbours being returned, with isPole indicating we need N/S pole according to
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// hemisphere.
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//
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// If needing edge mesh "neigbours" to assemble loops we must find the mapping of a forward link
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// to a corresponding "backward link" on the pole
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deviceVector<IcosahedralStencilEntry> _entries;
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void GetNbrForPlusX(GridBase *grid,Coordinate &Coor,Coordinate &NbrCoor, int &isPole)
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{
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int nd = grid->Nd();
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int L = grid->LocalDimensions()[0];
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assert (grid->LocalDimensions()[0] == grid->LocalDimensions()[1]);
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int patch = Coor[nd-1];
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int north = patch/HemiPatches;
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int south = 1-north;
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int HemiPatch = patch%HemiPatches;
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int NbrPatch;
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NbrCoor = Coor;
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isPole = 0;
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if ( Coor[0]<(L-1) ) {
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NbrCoor[0]=Coor[0]+1;
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// Nbr is inside THIS patch
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return;
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}
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if ( north ) {
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assert(Coor[0]==(L-1));
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// Simple connect to southern neighbour tile
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NbrCoor[0]=0;
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NbrCoor[nd-1]=periAdd(HemiPatch,+1,HemiPatches) + SouthernHemisphere;
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return;
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}
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////////////////////////////////////////////////////////////
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// FIXME:
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// Can store the rotation of polarisation here: get xdir instead of ydir and must take adjoint
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////////////////////////////////////////////////////////////
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if ( south ) {
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assert(Coor[0]==(L-1));
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if ( Coor[1] == 0 ) {
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isPole = 1;
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NbrCoor[0] = (L-1); // Coordinate of the edge graph site holding the edge for other vertex in pole triangle
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NbrCoor[1] = 0;
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NbrCoor[nd-1]=periAdd(HemiPatch,+1,HemiPatches) + SouthernHemisphere;
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return;
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} else {
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NbrCoor[1] = 0;
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NbrCoor[0] = L-Coor[1];
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NbrCoor[nd-1]=periAdd(HemiPatch,+1,HemiPatches) + SouthernHemisphere;
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return;
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}
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}
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assert(0);
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}
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void GetNbrForPlusY(GridBase *grid,Coordinate &Coor,Coordinate &NbrCoor, int &isPole)
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{
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int nd = grid->Nd();
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int L = grid->LocalDimensions()[0];
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assert (grid->LocalDimensions()[0] == grid->LocalDimensions()[1]);
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int patch = Coor[nd-1];
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int north = patch/HemiPatches;
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int south = 1-north;
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int HemiPatch = patch%HemiPatches;
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int NbrPatch;
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NbrCoor = Coor;
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isPole = 0;
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if ( Coor[1]<(L-1) ) {
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NbrCoor[1]=Coor[1]+1;
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// Nbr is inside THIS patch
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return;
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}
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if ( south ) {
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// Simple connect to northern neighbour tile
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assert(Coor[1]==(L-1));
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NbrCoor[1]=0;
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NbrCoor[nd-1]=HemiPatch + NorthernHemisphere;
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return;
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}
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////////////////////////////////////////////////////////////
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// FIXME:
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// Could store the rotation of polarisation here: get xdir instead of ydir and must take adjoint
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// But probaby just write "getLinkPropertiesToCloseTriangleA" "getLinkPropertiesToCloseTriangleB"
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// Or write a 'double store' method to move edge graph to a vertex graph with all fermion transports
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////////////////////////////////////////////////////////////
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if ( north ) {
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assert(Coor[1]==(L-1));
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if ( Coor[0] == 0 ) {
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isPole = 1;
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NbrCoor[1] = (L-1); // Coordinate of the edge graph site holding the edge for other vertex in pole triangle
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NbrCoor[0] = 0;
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NbrCoor[nd-1]=periAdd(HemiPatch,+1,HemiPatches) + NorthernHemisphere;
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return;
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} else {
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NbrCoor[0] = 0;
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NbrCoor[1] = L-Coor[0]; // x=1 --> y=L-1 for y+
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NbrCoor[nd-1]=periAdd(HemiPatch,+1,HemiPatches) + NorthernHemisphere;
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return;
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}
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}
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assert(0);
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}
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// Missing links are at (0,0) on local patch coordinates in -diagonal direction
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// We are here returning VERTEX grid coordinates.
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void GetNbrForMinusX(GridBase *grid,Coordinate &Coor,Coordinate &NbrCoor)
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{
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int nd = grid->Nd();
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int L = grid->LocalDimensions()[0];
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assert (grid->LocalDimensions()[0] == grid->LocalDimensions()[1]);
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int patch = Coor[nd-1];
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int north = patch/HemiPatches;
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int south = 1-north;
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int HemiPatch = patch%HemiPatches;
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int NbrPatch;
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NbrCoor = Coor;
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if ( Coor[0]>0 ) {
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NbrCoor[0]=Coor[0]-1;
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return;
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}
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if ( south ) {
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assert(Coor[0]==0);
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// Simple connect to northern neighbour tile
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NbrCoor[0]=L-1;
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NbrCoor[nd-1]=periAdd(HemiPatch,-1,HemiPatches) + NorthernHemisphere;
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return;
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}
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if ( north ) {
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NbrCoor[0] = L-1-Coor[1];
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NbrCoor[1] = L-1;
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NbrCoor[nd-1]=periAdd(HemiPatch,+1,HemiPatches) + SouthernHemisphere;
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return;
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}
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assert(0);
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}
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void GetNbrForMinusY(GridBase *grid,Coordinate &Coor,Coordinate &NbrCoor)
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{
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int nd = grid->Nd();
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int L = grid->LocalDimensions()[0];
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assert (grid->LocalDimensions()[0] == grid->LocalDimensions()[1]);
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int patch = Coor[nd-1];
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int north = patch/HemiPatches;
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int south = 1-north;
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int HemiPatch = patch%HemiPatches;
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int NbrPatch;
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NbrCoor = Coor;
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if ( Coor[1]>0 ) {
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NbrCoor[1]=Coor[1]-1;
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return;
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}
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if ( north ) {
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assert(Coor[1]==0);
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// Simple connect to northern neighbour tile
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NbrCoor[1]=L-1;
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NbrCoor[nd-1]=HemiPatch + SouthernHemisphere;
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return;
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}
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if ( south ) {
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NbrCoor[1] = L-1-Coor[0];
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NbrCoor[0] = L-1;
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NbrCoor[nd-1]=periAdd(HemiPatch,-1,HemiPatches) + SouthernHemisphere;
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return;
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}
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assert(0);
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}
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void GetNbrForMinusDiagonal(GridBase *grid,Coordinate &Coor,Coordinate &NbrCoor,int &missingLink)
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{
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int nd = grid->Nd();
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int L = grid->LocalDimensions()[0];
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assert (grid->LocalDimensions()[0] == grid->LocalDimensions()[1]);
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int patch = Coor[nd-1];
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int north = patch/HemiPatches;
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int south = 1-north;
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int HemiPatch = patch%HemiPatches;
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int NbrPatch;
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NbrCoor = Coor;
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missingLink = 0;
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if( Coor[0]==0 && Coor[1]==0) {
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missingLink=1;
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return;
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}
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if ( (Coor[0]>0) && (Coor[1]>0) ) {
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// Nbr is inside THIS patch
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NbrCoor[0]=Coor[0]-1;
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NbrCoor[1]=Coor[1]-1;
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return;
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}
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if ( north ) {
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if ( Coor[0]==0 ) {
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// We are on -x edge
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// Maps to +y edge of hemipatch to the left
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NbrCoor[nd-1] = periAdd(HemiPatch,-1,HemiPatches) + NorthernHemisphere;
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NbrCoor[0]=(L-Coor[1]);
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NbrCoor[1]=(L-1);
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return;
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} else {
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// We are on the -y edge and NOT bottom left corner; Nbr is in the patch LEFT
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assert( (Coor[0]>0) && (Coor[1]==0) );
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NbrCoor[nd-1] = HemiPatch + SouthernHemisphere; // Map from north to south
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NbrCoor[0]=Coor[0]-1;
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NbrCoor[1]=(L-1);
|
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return;
|
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}
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assert(0);
|
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}
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if ( south ) {
|
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// We are on the -y edge
|
||||
if ( Coor[1]==0 ) {
|
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NbrCoor[nd-1] = periAdd(HemiPatch,-1,HemiPatches) + SouthernHemisphere;
|
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NbrCoor[0]=(L-1);
|
||||
NbrCoor[1]=(L-Coor[0]);
|
||||
return;
|
||||
} else {
|
||||
// We are on the -x edge and NOT bottom left corner; Nbr is in the patch LEFT
|
||||
assert( (Coor[0]==0) && (Coor[1]>0) );
|
||||
NbrCoor[nd-1] = periAdd(HemiPatch,-1,HemiPatches) + NorthernHemisphere; // south to north
|
||||
NbrCoor[0]=(L-1);
|
||||
NbrCoor[1]= Coor[1]-1;
|
||||
return;
|
||||
}
|
||||
assert(0);
|
||||
}
|
||||
assert(0);
|
||||
}
|
||||
void GetNbrForPlusDiagonal(GridBase *grid,Coordinate &Coor,Coordinate &NbrCoor)
|
||||
{
|
||||
int nd = grid->Nd();
|
||||
int L = grid->LocalDimensions()[0];
|
||||
assert (grid->LocalDimensions()[0] == grid->LocalDimensions()[1]);
|
||||
int patch = Coor[nd-1];
|
||||
int north = patch/HemiPatches;
|
||||
int south = 1-north;
|
||||
int HemiPatch = patch%HemiPatches;
|
||||
int NbrPatch;
|
||||
|
||||
NbrCoor = Coor;
|
||||
|
||||
if ( (Coor[0]<L-1) && (Coor[1]<L-1) ) {
|
||||
// Nbr is inside THIS patch
|
||||
NbrCoor[0]=Coor[0]+1;
|
||||
NbrCoor[1]=Coor[1]+1;
|
||||
return;
|
||||
}
|
||||
|
||||
if ( north ) {
|
||||
// We are on +y edge
|
||||
if ( Coor[1]==(L-1) ) {
|
||||
NbrCoor[nd-1] = periAdd(HemiPatch,+1,HemiPatches) + NorthernHemisphere;
|
||||
NbrCoor[0]=0;
|
||||
NbrCoor[1]=(L-1)-Coor[0];
|
||||
return;
|
||||
} else {
|
||||
// Else we are on the +x edge, not top right corner
|
||||
assert( Coor[0]==(L-1) && Coor[1]<(L-1) );
|
||||
NbrCoor[nd-1] = periAdd(HemiPatch,+1,HemiPatches) + SouthernHemisphere;
|
||||
NbrCoor[0]=0;
|
||||
NbrCoor[1]=Coor[1]+1;
|
||||
return;
|
||||
}
|
||||
assert(0);
|
||||
}
|
||||
|
||||
if ( south ) {
|
||||
// We are on the +x edge
|
||||
if ( Coor[0]==(L-1) ) {
|
||||
NbrCoor[nd-1] = periAdd(HemiPatch,+1,HemiPatches) + SouthernHemisphere;
|
||||
NbrCoor[0]=(L-1)-Coor[1]; //y=(L-1) <-> x=0 ; y=0<->x=(L-1) [ Sanity check ]
|
||||
NbrCoor[1]=0;
|
||||
return;
|
||||
} else {
|
||||
// We are on the +y edge and NOT top right corner; Nbr is in the patch UP
|
||||
assert( (Coor[1]==L-1) && (Coor[0]<(L-1)) );
|
||||
NbrCoor[nd-1] = HemiPatch + NorthernHemisphere;
|
||||
NbrCoor[0]=Coor[0]+1;
|
||||
NbrCoor[1]=0;
|
||||
return;
|
||||
}
|
||||
assert(0);
|
||||
}
|
||||
assert(0);
|
||||
}
|
||||
|
||||
void TestGeometry(void)
|
||||
{
|
||||
GridBase *grid = this->_grid;
|
||||
uint64_t cart_sites = grid->CartesianOsites();
|
||||
|
||||
//////////////////////////////////////////////////////////////////////////////////////////////
|
||||
// Loop over cart sites.
|
||||
// Find two triangles per site.
|
||||
// Check going forward in X, Up and forward in Diag match
|
||||
// Check going Up, forward in X and forward Diag match; subtleties at poles and rotation in cross patch
|
||||
//////////////////////////////////////////////////////////////////////////////////////////////
|
||||
|
||||
std::cout << "*************************************"<<std::endl;
|
||||
std::cout << " Icosahedral Stencil Geometry Test !"<<std::endl;
|
||||
std::cout << "*************************************"<<std::endl;
|
||||
|
||||
const int triangle_ref = cart_sites;
|
||||
std::cout << " Base triangle count for each type " <<triangle_ref;
|
||||
|
||||
std::cout << "------------------------------------"<<std::endl;
|
||||
std::cout << "testing +x+y vs +diag"<<std::endl;
|
||||
std::cout << "testing +y+x vs +diag"<<std::endl;
|
||||
std::cout << "------------------------------------"<<std::endl;
|
||||
int xyd_pole_count=0;
|
||||
int xyd_count=0;
|
||||
int yxd_pole_count=0;
|
||||
int yxd_count=0;
|
||||
for(uint64_t site=0;site<cart_sites; site ++) {
|
||||
|
||||
Coordinate Coor;
|
||||
Coordinate DiagCoor;
|
||||
|
||||
int nd = grid->Nd();
|
||||
int L = grid->LocalDimensions()[0];
|
||||
|
||||
grid->oCoorFromOindex(Coor,site);
|
||||
|
||||
int patch = Coor[nd-1];
|
||||
int north = patch/HemiPatches;
|
||||
int south = 1-north;
|
||||
int isPole = 0;
|
||||
int discard;
|
||||
int missingLink = 0;
|
||||
|
||||
int HemiPatch = patch%HemiPatches;
|
||||
|
||||
//////////////////////////////
|
||||
// First test of triangle
|
||||
//////////////////////////////
|
||||
// Compare +x, +y to +diag
|
||||
Coordinate XpCoor;
|
||||
Coordinate YpXpCoor;
|
||||
GetNbrForPlusDiagonal(grid,Coor,DiagCoor);
|
||||
GetNbrForPlusX(grid,Coor,XpCoor,isPole);
|
||||
|
||||
int XpHemiPatch = XpCoor[nd-1]%HemiPatches;
|
||||
int XpHemisphere = XpCoor[nd-1]/HemiPatches;
|
||||
|
||||
if (isPole) {
|
||||
YpXpCoor = XpCoor;
|
||||
} else if ( XpHemiPatch != HemiPatch && south ) {
|
||||
GetNbrForMinusX(grid,XpCoor,YpXpCoor);
|
||||
} else {
|
||||
GetNbrForPlusY(grid,XpCoor,YpXpCoor,discard);
|
||||
}
|
||||
|
||||
if(isPole) {
|
||||
std::cout << "Forward xyd triangle "<<Coor<<"-Pole["<<XpCoor[2]<<"]-"<<YpXpCoor<<" should be " <<DiagCoor<<std::endl;
|
||||
xyd_pole_count++;
|
||||
} else {
|
||||
std::cout << "Forward xyd triangle "<<Coor<<"-"<<XpCoor<<"-"<<YpXpCoor<<" should be " <<DiagCoor<<std::endl;
|
||||
xyd_count++;
|
||||
}
|
||||
for(int d=0;d<DiagCoor.size();d++) {
|
||||
assert(DiagCoor[d]==YpXpCoor[d]);
|
||||
}
|
||||
|
||||
Coordinate YpCoor;
|
||||
Coordinate XpYpCoor;
|
||||
GetNbrForPlusDiagonal(grid,Coor,DiagCoor);
|
||||
GetNbrForPlusY(grid,Coor,YpCoor,isPole);
|
||||
|
||||
int YpHemiPatch = YpCoor[nd-1]%HemiPatches;
|
||||
int YpHemisphere = YpCoor[nd-1]/HemiPatches;
|
||||
|
||||
if(isPole) {
|
||||
XpYpCoor = YpCoor;
|
||||
} else if ( YpHemiPatch != HemiPatch && north ) {
|
||||
GetNbrForMinusY(grid,YpCoor,XpYpCoor); // we hopped - this rotates the directions
|
||||
} else {
|
||||
GetNbrForPlusX(grid,YpCoor,XpYpCoor,discard);
|
||||
}
|
||||
|
||||
if(isPole) {
|
||||
yxd_pole_count++;
|
||||
std::cout << "Forward yxd triangle "<<Coor<<"-Pole["<<YpCoor[2]<<"]-"<<XpYpCoor<<" should be " <<DiagCoor<<std::endl;
|
||||
} else {
|
||||
yxd_count++;
|
||||
std::cout << "Forward yxd triangle "<<Coor<<"-"<<YpCoor<<"-"<<XpYpCoor<<" should be " <<DiagCoor<<std::endl;
|
||||
}
|
||||
for(int d=0;d<DiagCoor.size();d++) {
|
||||
assert(DiagCoor[d]==XpYpCoor[d]);
|
||||
}
|
||||
}
|
||||
std::cout << " xyd_count "<<xyd_count<<" + poles_count "<<xyd_pole_count<<" expect "<<triangle_ref<<" triangles "<<std::endl;
|
||||
std::cout << " yxd_count "<<yxd_count<<" + poles_count "<<yxd_pole_count<<" expect "<<triangle_ref<<" triangles "<<std::endl;
|
||||
assert(xyd_count+xyd_pole_count == triangle_ref);
|
||||
assert(yxd_count+yxd_pole_count == triangle_ref);
|
||||
std::cout << "------------------------------------"<<std::endl;
|
||||
std::cout << "testing -diag +x+y = identity"<<std::endl;
|
||||
std::cout << "testing -diag +y+x = identity"<<std::endl;
|
||||
std::cout << "------------------------------------"<<std::endl;
|
||||
|
||||
int dmxy_count=0;
|
||||
int dmyx_count=0;
|
||||
int dmxy_count_special=0;
|
||||
int dmyx_count_special=0;
|
||||
int num_missing=0;
|
||||
|
||||
for(uint64_t site=0;site<cart_sites; site ++) {
|
||||
|
||||
Coordinate Coor;
|
||||
|
||||
int nd = grid->Nd();
|
||||
int L = grid->LocalDimensions()[0];
|
||||
|
||||
grid->oCoorFromOindex(Coor,site);
|
||||
|
||||
int patch = Coor[nd-1];
|
||||
int north = patch/HemiPatches;
|
||||
int south = 1-north;
|
||||
int isPole = 0;
|
||||
int discard;
|
||||
int missingLink = 0;
|
||||
int HemiPatch = patch%HemiPatches;
|
||||
|
||||
Coordinate DmCoor;
|
||||
GetNbrForMinusDiagonal(grid,Coor,DmCoor,missingLink);
|
||||
if ( missingLink ) {
|
||||
std::cout << Coor << " has no backwards diagonal link "<<std::endl;
|
||||
num_missing++;
|
||||
} else {
|
||||
|
||||
int DmPatch = DmCoor[nd-1];
|
||||
int DmHemiPatch = DmCoor[nd-1]%HemiPatches;
|
||||
int DmHemisphere = DmCoor[nd-1]/HemiPatches;
|
||||
|
||||
Coordinate XpDmCoor;
|
||||
Coordinate YpXpDmCoor;
|
||||
|
||||
Coordinate YpDmCoor;
|
||||
Coordinate XpYpDmCoor;
|
||||
|
||||
if ( DmHemiPatch != HemiPatch && north ) {
|
||||
GetNbrForPlusDiagonal(grid,DmCoor,XpDmCoor);
|
||||
GetNbrForPlusY(grid,XpDmCoor,YpXpDmCoor,isPole); assert(!isPole);
|
||||
|
||||
GetNbrForMinusX(grid,DmCoor,YpDmCoor);
|
||||
GetNbrForPlusDiagonal(grid,YpDmCoor,XpYpDmCoor);
|
||||
dmxy_count_special++;
|
||||
dmyx_count_special++;
|
||||
} else if ( DmPatch == periAdd(HemiPatch,-1,HemiPatches) && south ) {
|
||||
GetNbrForPlusDiagonal(grid,DmCoor,YpDmCoor);
|
||||
GetNbrForPlusX(grid,YpDmCoor,XpYpDmCoor,isPole); assert(!isPole);
|
||||
|
||||
GetNbrForMinusY(grid,DmCoor,XpDmCoor);
|
||||
GetNbrForPlusDiagonal(grid,XpDmCoor,YpXpDmCoor);
|
||||
dmxy_count_special++;
|
||||
dmyx_count_special++;
|
||||
} else {
|
||||
GetNbrForPlusX(grid,DmCoor,XpDmCoor,isPole); assert(!isPole);
|
||||
GetNbrForPlusY(grid,XpDmCoor,YpXpDmCoor,isPole); assert(!isPole);
|
||||
|
||||
GetNbrForPlusY(grid,DmCoor,YpDmCoor,isPole); assert(!isPole);
|
||||
GetNbrForPlusX(grid,YpDmCoor,XpYpDmCoor,isPole); assert(!isPole);
|
||||
dmxy_count++;
|
||||
dmyx_count++;
|
||||
}
|
||||
std::cout << Coor<<" DmXpYp triangle YpXpDm"<<YpXpDmCoor<<"-XpDm"<<XpDmCoor<<"-Dm"<<DmCoor<<" should be " <<Coor<<std::endl;
|
||||
for(int d=0;d<Coor.size();d++) {
|
||||
assert(Coor[d]==YpXpDmCoor[d]);
|
||||
}
|
||||
|
||||
std::cout << Coor<<"DmXpYp triangle XpYpDm"<<XpYpDmCoor<<"-YpDm"<<YpDmCoor<<"-Dm"<<DmCoor<<" should be " <<Coor<<std::endl;
|
||||
for(int d=0;d<Coor.size();d++) {
|
||||
assert(Coor[d]==XpYpDmCoor[d]);
|
||||
}
|
||||
}
|
||||
}
|
||||
std::cout << " dmxy_count "<<dmxy_count<<" + special "<<dmxy_count_special<<" + missing "<<num_missing<<" expect "<<triangle_ref<<" triangles "<<std::endl;
|
||||
std::cout << " dmyx_count "<<dmyx_count<<" + special "<<dmyx_count_special<<" + missing "<<num_missing<<" expect "<<triangle_ref<<" triangles "<<std::endl;
|
||||
assert(dmxy_count + dmxy_count_special + num_missing == triangle_ref);
|
||||
assert(dmyx_count + dmyx_count_special + num_missing == triangle_ref);
|
||||
|
||||
std::cout << "------------------------------------"<<std::endl;
|
||||
std::cout << "testing diag -x-y = identity "<<std::endl;
|
||||
std::cout << "testing diag -y-x = identity"<<std::endl;
|
||||
std::cout << "------------------------------------"<<std::endl;
|
||||
|
||||
std::cout << "------------------------------------"<<std::endl;
|
||||
std::cout << "testing -diag = -x-y "<<std::endl;
|
||||
std::cout << "testing -diag = -y-x "<<std::endl;
|
||||
std::cout << "------------------------------------"<<std::endl;
|
||||
|
||||
std::cout << "*************************************"<<std::endl;
|
||||
std::cout << " Icosahedral Stencil Geometry Test Complete"<<std::endl;
|
||||
std::cout << "*************************************"<<std::endl;
|
||||
}
|
||||
IcosahedralStencil(GridBase *grid) // Must be +1 or -1
|
||||
{
|
||||
this->_grid = grid;
|
||||
// Loop over L^2 x T x npatch and the
|
||||
assert(grid->isIcosahedral());
|
||||
}
|
||||
void NearestNeighbourStencil(void)
|
||||
{
|
||||
GridBase * grid = this->_grid;
|
||||
assert(grid->isIcosahedralVertex());
|
||||
|
||||
}
|
||||
/*
|
||||
* For gauge action implementation
|
||||
*/
|
||||
void FaceStencil(void)
|
||||
{
|
||||
GridBase * grid = this->_grid;
|
||||
|
||||
int osites = grid->oSites();
|
||||
|
||||
uint64_t cart_sites = grid->CartesianOsites();
|
||||
uint64_t Npole_sites = grid->NorthPoleOsites();
|
||||
uint64_t Spole_sites = grid->SouthPoleOsites();
|
||||
Coordinate pcoor = grid->ThisProcessorCoor();
|
||||
Coordinate pgrid = grid->ProcessorGrid();
|
||||
|
||||
/*
|
||||
* resize the stencil entries array and set npoints
|
||||
*/
|
||||
this->_npoints=2; // Move to template param?
|
||||
this->_entries.resize(this->_npoints * cart_sites);
|
||||
this->_entries_p = &_entries[0];
|
||||
|
||||
for(uint64_t site=0;site<cart_sites; site ++) {
|
||||
|
||||
Coordinate Coor;
|
||||
Coordinate NbrCoor;
|
||||
|
||||
int nd = grid->Nd();
|
||||
int L = grid->LocalDimensions()[0];
|
||||
|
||||
Integer lexXY = site*2;
|
||||
Integer lexYX = site*2+1;
|
||||
|
||||
IcosahedralStencilEntry SE;
|
||||
|
||||
////////////////////////////////////////////////
|
||||
// Outer index of neighbour Offset calculation
|
||||
////////////////////////////////////////////////
|
||||
grid->oCoorFromOindex(Coor,site);
|
||||
NbrCoor = Coor;
|
||||
assert( grid->LocalDimensions()[1]==grid->LocalDimensions()[0]);
|
||||
assert( grid->_simd_layout[0]==1); // Cannot vectorise in these dims
|
||||
assert( grid->_simd_layout[1]==1);
|
||||
assert( grid->_processors[0]==1); // Cannot mpi distribute in these dims
|
||||
assert( grid->_processors[1]==1);
|
||||
|
||||
int Patch = Coor[nd-1];
|
||||
int HemiPatch = Patch%HemiPatches;
|
||||
int north = Patch/HemiPatches;
|
||||
int south = 1-north;
|
||||
int isPoleY;
|
||||
int isPoleX;
|
||||
|
||||
assert(Patch<IcosahedralPatches);
|
||||
assert((north==1)||(south==1));
|
||||
/*
|
||||
* Minimal stencil for edge -> face triangle evaluation
|
||||
*
|
||||
* On each edge grid site, hold +x,+y,+diag links
|
||||
* Must locate the closing link to form the two forward triangles
|
||||
*
|
||||
* case: +x,+d
|
||||
*
|
||||
* north: +x neighbours ydir link always
|
||||
* south: +x neighbours ydir link except
|
||||
* cross into a different patch in south
|
||||
* then
|
||||
* +d neighbours xdir link
|
||||
*
|
||||
* case: +y,+d
|
||||
* south: +y neighbours xdir link always
|
||||
* north: +y neighbours xdir link unless
|
||||
* cross into a different patch in north
|
||||
* then
|
||||
* +d neighbours ydir link
|
||||
*
|
||||
*/
|
||||
Coordinate XpCoor;
|
||||
Coordinate YpCoor;
|
||||
Coordinate DpCoor;
|
||||
|
||||
GetNbrForPlusDiagonal(grid,Coor,DpCoor);
|
||||
GetNbrForPlusX(grid,Coor,XpCoor,isPoleX);
|
||||
GetNbrForPlusY(grid,Coor,YpCoor,isPoleY);
|
||||
|
||||
int XpHemiPatch = XpCoor[nd-1]%HemiPatches;
|
||||
int XpHemisphere = XpCoor[nd-1]/HemiPatches;
|
||||
|
||||
int DpPatch = DpCoor[nd-1];
|
||||
int DpHemiPatch = DpCoor[nd-1]%HemiPatches;
|
||||
int DpHemisphere = DpCoor[nd-1]/HemiPatches;
|
||||
|
||||
////////////////////////////////////////////////
|
||||
// for trace [ U_x(z) U_y(z+\hat x) adj(U_d(z)) ]
|
||||
////////////////////////////////////////////////
|
||||
if ( DpHemiPatch != HemiPatch && south ) {
|
||||
SE._offset = grid->oIndex(DpCoor);
|
||||
SE._is_local = true;
|
||||
SE._polarisation = IcosahedronPatchX;
|
||||
SE._adjoint = true;
|
||||
SE._missing_link = false;
|
||||
} else {
|
||||
SE._offset = grid->oIndex(XpCoor);
|
||||
SE._is_local = true;
|
||||
SE._polarisation = IcosahedronPatchY;
|
||||
SE._adjoint = false;
|
||||
SE._missing_link = false;
|
||||
}
|
||||
|
||||
////////////////////////////////////////////////
|
||||
// Store in look up table
|
||||
////////////////////////////////////////////////
|
||||
acceleratorPut(this->_entries[lexXY],SE);
|
||||
|
||||
////////////////////////////////////////////////
|
||||
// for trace [ U_y(z) adj(U_d(z)) U_x(z+\hat y) ]
|
||||
////////////////////////////////////////////////
|
||||
if ( DpHemiPatch != HemiPatch && north ) {
|
||||
SE._offset = grid->oIndex(DpCoor);
|
||||
SE._is_local = true;
|
||||
SE._polarisation = IcosahedronPatchY;
|
||||
SE._adjoint = true;
|
||||
SE._missing_link = false;
|
||||
} else {
|
||||
SE._offset = grid->oIndex(YpCoor);
|
||||
SE._is_local = true;
|
||||
SE._polarisation = IcosahedronPatchX;
|
||||
SE._adjoint = false;
|
||||
SE._missing_link = false;
|
||||
}
|
||||
////////////////////////////////////////////////
|
||||
// Store in look up table
|
||||
////////////////////////////////////////////////
|
||||
acceleratorPut(this->_entries[lexYX],SE);
|
||||
};
|
||||
}
|
||||
|
||||
/*
|
||||
* For gauge action derivative implementation
|
||||
* Staple
|
||||
*
|
||||
* Case1: I x T loops
|
||||
*
|
||||
* Need: DirP this site; no entry
|
||||
* Tp @ dir++
|
||||
* DirP @ t++
|
||||
* Tp @ t--
|
||||
* DirP @ t--
|
||||
* Tp @ t--, dir++
|
||||
*
|
||||
* There is no complex rotation of links on other site
|
||||
*
|
||||
* Case2: I x I loops
|
||||
*
|
||||
* Y staple: need
|
||||
* Diag @ (xy)
|
||||
* X @ y++ ; care needed for rotation
|
||||
* Diag @ x-- ; care needed for rotation
|
||||
* X @ x-- ; care needed for rotation
|
||||
*
|
||||
* X staple: need
|
||||
* Diag @ (xy)
|
||||
* X @ y++ ; care needed for rotation
|
||||
* Diag @ x-- ; care needed for rotation
|
||||
* X @ x-- ; care needed for rotation
|
||||
*
|
||||
* Diag staple: need
|
||||
*
|
||||
* X@ (xy)
|
||||
* Y@ x++ ; care needed for rotation
|
||||
* Y@ (xy)
|
||||
* X@ y++ ; care needed for rotation
|
||||
*/
|
||||
void StapleDiagStencil(void){ }
|
||||
void StapleXpStencil(void) { }
|
||||
void StapleYpStencil(void) { }
|
||||
void StapleTpStencil(void) { }
|
||||
|
||||
};
|
||||
NAMESPACE_END(Grid);
|
@@ -26,6 +26,7 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
|
||||
*************************************************************************************/
|
||||
/* END LEGAL */
|
||||
#include <Grid/Grid.h>
|
||||
#include <Grid/stencil/IcosahedralStencil.h>
|
||||
|
||||
using namespace std;
|
||||
using namespace Grid;
|
||||
@@ -42,7 +43,7 @@ int main (int argc, char ** argv)
|
||||
Grid_init(&argc,&argv);
|
||||
|
||||
const int L=8;
|
||||
const int Npatch = num_icosahedron_tiles;
|
||||
const int Npatch = IcosahedralPatches;
|
||||
|
||||
// Put SIMD all in time direction
|
||||
Coordinate latt_size = GridDefaultLatt();
|
||||
@@ -78,16 +79,70 @@ int main (int argc, char ** argv)
|
||||
// std::cout << " Umu "<<Umu<<std::endl;
|
||||
// std::cout << " Phi "<<Phi<<std::endl;
|
||||
LatticePole(Phi,South);
|
||||
std::cout << " Phi South Pole set\n"<<Phi<<std::endl;
|
||||
// std::cout << " Phi South Pole set\n"<<Phi<<std::endl;
|
||||
|
||||
LatticePole(Phi,North);
|
||||
std::cout << " Phi North Pole set\n"<<Phi<<std::endl;
|
||||
// std::cout << " Phi North Pole set\n"<<Phi<<std::endl;
|
||||
|
||||
for(int mu=0;mu<VertexGrid._ndimension;mu++){
|
||||
std::cout << " Calling lattice coordinate mu="<<mu<<std::endl;
|
||||
LatticeCoordinate(Phi,mu);
|
||||
std::cout << " Phi coor mu="<<mu<<"\n"<<Phi<<std::endl;
|
||||
// std::cout << " Phi coor mu="<<mu<<"\n"<<Phi<<std::endl;
|
||||
}
|
||||
IcosahedralStencil stencil(&EdgeGrid);
|
||||
|
||||
stencil.TestGeometry();
|
||||
|
||||
std::cout << "Creating face stencil"<<std::endl;
|
||||
|
||||
stencil.FaceStencil();
|
||||
Umu=one;
|
||||
LatticeComplex plaq1(&EdgeGrid);
|
||||
LatticeComplex plaq2(&EdgeGrid);
|
||||
|
||||
{
|
||||
autoView(Umu_v,Umu,AcceleratorRead);
|
||||
autoView(plaq1_v,plaq1,AcceleratorWrite);
|
||||
autoView(plaq2_v,plaq2,AcceleratorWrite);
|
||||
autoView(stencil_v,stencil,AcceleratorRead);
|
||||
accelerator_for(ss,EdgeGrid.oSites(),vComplexD::Nsimd(),{
|
||||
|
||||
const int x = IcosahedronPatchX;
|
||||
const int y = IcosahedronPatchY;
|
||||
const int d = IcosahedronPatchDiagonal;
|
||||
|
||||
auto Lx = Umu_v(ss)(x);
|
||||
auto Ly = Umu_v(ss)(y);
|
||||
auto Ld = Umu_v(ss)(d);
|
||||
|
||||
// for trace [ U_x(z) U_y(z+\hat x) adj(U_d(z)) ]
|
||||
{
|
||||
auto SE1 = stencil_v.GetEntry(0,ss);
|
||||
auto doAdj = SE1->_adjoint;
|
||||
auto pol = SE1->_polarisation;
|
||||
auto s1 = SE1->_offset;
|
||||
auto L1 = Umu_v(s1)(pol);
|
||||
if(doAdj)
|
||||
L1 = adj(L1);
|
||||
|
||||
coalescedWrite(plaq1_v[ss](),trace(Lx*L1*adj(Ld) ) );
|
||||
}
|
||||
|
||||
// for trace [ U_y(z) adj(U_d(z)) U_x(z+\hat y) ]
|
||||
{
|
||||
auto SE2 = stencil_v.GetEntry(1,ss);
|
||||
auto doAdj = SE2->_adjoint;
|
||||
auto pol = SE2->_polarisation;
|
||||
auto s2 = SE2->_offset;
|
||||
auto L2 = Umu_v(s2)(pol);
|
||||
if(doAdj)
|
||||
L2 = adj(L2);
|
||||
|
||||
coalescedWrite(plaq2_v[ss](),trace(Ly*adj(Ld)*L2 ) );
|
||||
}
|
||||
});
|
||||
}
|
||||
std::cout << " plaq1 "<< norm2(plaq1)<<std::endl;
|
||||
std::cout << " plaq2 "<< norm2(plaq2)<<std::endl;
|
||||
Grid_finalize();
|
||||
}
|
||||
|
Reference in New Issue
Block a user