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state_kern.cl
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state_kern.cl
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/*
* Copyright (c) 2011-2019, Triad National Security, LLC.
* All rights Reserved.
*
* CLAMR -- LA-CC-11-094
*
* Copyright 2011-2019. Triad National Security, LLC. This software was produced
* under U.S. Government contract 89233218CNA000001 for Los Alamos National
* Laboratory (LANL), which is operated by Triad National Security, LLC
* for the U.S. Department of Energy. The U.S. Government has rights to use,
* reproduce, and distribute this software. NEITHER THE GOVERNMENT NOR
* TRIAD NATIONAL SECURITY, LLC MAKES ANY WARRANTY, EXPRESS OR IMPLIED, OR
* ASSUMES ANY LIABILITY FOR THE USE OF THIS SOFTWARE. If software is modified
* to produce derivative works, such modified software should be clearly marked,
* so as not to confuse it with the version available from LANL.
*
* Additionally, redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions are met:
* * Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* * Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* * Neither the name of the Triad National Security, LLC, Los Alamos
* National Laboratory, LANL, the U.S. Government, nor the names of its
* contributors may be used to endorse or promote products derived from
* this software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE TRIAD NATIONAL SECURITY, LLC AND
* CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT
* NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
* A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL TRIAD NATIONAL
* SECURITY, LLC OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
* SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
* PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS;
* OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY,
* WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
* ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
* POSSIBILITY OF SUCH DAMAGE.
*
* CLAMR -- LA-CC-11-094
* This research code is being developed as part of the
* 2011 X Division Summer Workshop for the express purpose
* of a collaborative code for development of ideas in
* the implementation of AMR codes for Exascale platforms
*
* AMR implementation of the Wave code previously developed
* as a demonstration code for regular grids on Exascale platforms
* as part of the Supercomputing Challenge and Los Alamos
* National Laboratory
*
* Authors: Bob Robey XCP-2 [email protected]
* Neal Davis [email protected], [email protected]
* David Nicholaeff [email protected], [email protected]
* Dennis Trujillo [email protected], [email protected]
*
*/
#if !defined(REG_INTEGER) && !defined(SHORT_INTEGER) && !defined(MIN_INTEGER)
#define REG_INTEGER
#endif
#if defined(MIN_INTEGER)
// define all to needed ranges and then typedef or define to actual
typedef unsigned short ushort_t; // 0 to 65,535
typedef short short_t; // -32,768 to 32,767
typedef unsigned char uchar_t; // 0 to 255
typedef char char_t; // -128 to 127
#ifdef HAVE_OPENCL
typedef cl_ushort cl_ushort_t;
typedef cl_short cl_short_t;
typedef cl_uchar cl_uchar_t;
typedef cl_char cl_char_t;
#endif
#elif defined(SHORT_INTEGER)
typedef unsigned short ushort_t;
typedef short short_t;
typedef unsigned short uchar_t;
typedef short char_t;
#ifdef HAVE_OPENCL
typedef cl_ushort cl_ushort_t;
typedef cl_short cl_short_t;
typedef cl_short cl_uchar_t;
typedef cl_short cl_char_t;
#endif
#elif defined(REG_INTEGER)
typedef unsigned int ushortt_t;
typedef int short_t;
typedef unsigned int uchar_t;
typedef int char_t;
#ifdef HAVE_OPENCL
typedef cl_uint cl_ushort_t;
typedef cl_int cl_short_t;
typedef cl_uint cl_uchar_t;
typedef cl_int cl_char_t;
#endif
#endif
#if !defined(FULL_PRECISION) && !defined(MIXED_PRECISION) && !defined(MINIMUM_PRECISION)
#define FULL_PRECISION
#endif
#ifdef NO_CL_DOUBLE
#undef FULL_PRECISION
#undef MIXED_PRECISION
#define MINIMUM_PRECISION
#endif
#if defined(MINIMUM_PRECISION)
typedef float state_t; // this is for physics state variables ncell in size
typedef float4 state4_t;
typedef float real_t; // this is used for intermediate calculations
typedef float2 real2_t;
typedef float4 real4_t;
#define ZERO 0.0f
#define HALF 0.5f
#define QUARTER 0.25f
#define ONE 1.0f
#define GRAVITATIONAL_CONSTANT 9.80f
#define THOUSAND 1000.0f
#define EPSILON 1.0f-30
#define STATE_EPS 15.0f
#define CONSERVATION_EPS 15.0f
// calc refine is done in single precision
#define REFINE_GRADIENT 0.10f
#define COARSEN_GRADIENT 0.05f
#define REFINE_ONE 1.0f
#define REFINE_HALF 0.5f
#define REFINE_NEG_THOUSAND -1000.0f
#elif defined(MIXED_PRECISION) // intermediate values calculated high precision and stored as floats
#pragma OPENCL EXTENSION cl_khr_fp64 : enable
typedef float state_t;
typedef float4 state4_t;
typedef double real_t;
typedef double2 real2_t;
typedef double4 real4_t;
#define ZERO 0.0
#define HALF 0.5
#define QUARTER 0.25
#define ONE 1.0
#define GRAVITATIONAL_CONSTANT 9.80
#define THOUSAND 1000.0
#define EPSILON 1.0e-30
#define STATE_EPS .02
#define CONSERVATION_EPS .02
// calc refine is done in single precision
#define REFINE_ONE 1.0f
#define REFINE_GRADIENT 0.10f
#define COARSEN_GRADIENT 0.05f
#define REFINE_HALF 0.5f
#define REFINE_NEG_THOUSAND -1000.0f
#elif defined(FULL_PRECISION)
#pragma OPENCL EXTENSION cl_khr_fp64 : enable
typedef double state_t;
typedef double4 state4_t;
typedef double real_t;
typedef double2 real2_t;
typedef double4 real4_t;
#define ZERO 0.0
#define HALF 0.5
#define QUARTER 0.25
#define ONE 1.0
#define GRAVITATIONAL_CONSTANT 9.80
#define THOUSAND 1000.0
#define EPSILON 1.0e-30
#define STATE_EPS .02
#define CONSERVATION_EPS .02
// calc refine is done in single precision
#define REFINE_ONE 1.0f
#define REFINE_GRADIENT 0.10
#define COARSEN_GRADIENT 0.05
#define REFINE_HALF 0.5
#define REFINE_NEG_THOUSAND -1000.0
#endif
#define TWO 2
//#define __OLD_STENCIL__
#define __NEW_STENCIL__
enum boundary
{ REAL_CELL = 1, // Denotes cell type of real cell.
LEFT_BOUNDARY = -1, // Denotes left boundary ghost cell.
RIGHT_BOUNDARY = -2, // Denotes right boundary ghost cell.
BOTTOM_BOUNDARY= -3, // Denotes bottom boundary ghost cell.
TOP_BOUNDARY = -4, // Denotes top boundary ghost cell.
FRONT_BOUNDARY = -5, // Denotes front boundary ghost cell.
BACK_BOUNDARY = -6 }; // Denotes back boundary ghost cell.
enum orientation
{ SW, // SW quadrant.
NW, // NW quadrant.
NE, // NE quadrant.
SE }; // SE quadrant.
int is_lower_left(int i, int j) { return(i % 2 == 0 && j % 2 == 0); }
int is_lower_right(int i, int j) { return(i % 2 == 1 && j % 2 == 0); }
int is_upper_left(int i, int j) { return(i % 2 == 0 && j % 2 == 1); }
int is_upper_right(int i, int j) { return(i % 2 == 1 && j % 2 == 1); }
int SUM_INT(int a, int b)
{
return a + b;
}
real_t SUM(real_t a, real_t b)
{
return a + b;
}
real_t MIN(real_t a, real_t b)
{
return min(a, b);
}
#define REDUCE_IN_TILE(operation, _tile_arr) \
for (int offset = ntX >> 1; offset > MIN_REDUCE_SYNC_SIZE; offset >>= 1) \
{ \
if (tiX < offset) \
{ \
_tile_arr[tiX] = operation(_tile_arr[tiX], _tile_arr[tiX+offset]); \
} \
barrier(CLK_LOCAL_MEM_FENCE); \
} \
if (tiX < MIN_REDUCE_SYNC_SIZE) \
{ \
for (int offset = MIN_REDUCE_SYNC_SIZE; offset > 1; offset >>= 1) \
{ \
_tile_arr[tiX] = operation(_tile_arr[tiX], _tile_arr[tiX+offset]); \
barrier(CLK_LOCAL_MEM_FENCE); \
} \
_tile_arr[tiX] = operation(_tile_arr[tiX], _tile_arr[tiX+1]); \
}
void reduction_min_within_tile1(__local real_t *tile)
{
const unsigned int tiX = get_local_id(0);
const unsigned int ntX = get_local_size(0);
REDUCE_IN_TILE(MIN, tile);
}
void reduction_sum_within_tile(__local real_t *tile)
{
const unsigned int tiX = get_local_id(0);
const unsigned int ntX = get_local_size(0);
REDUCE_IN_TILE(SUM, tile);
}
void reduction_sum_int2_within_tile(__local int8 *itile)
{
const unsigned int tiX = get_local_id(0);
const unsigned int ntX = get_local_size(0);
for (int offset = ntX >> 1; offset > MIN_REDUCE_SYNC_SIZE; offset >>= 1)
{
if (tiX < offset)
{
itile[tiX].s01 += itile[tiX+offset].s01;
}
barrier(CLK_LOCAL_MEM_FENCE);
}
if (tiX < MIN_REDUCE_SYNC_SIZE)
{
for (int offset = MIN_REDUCE_SYNC_SIZE; offset > 1; offset >>= 1)
{
itile[tiX].s01 += itile[tiX+offset].s01;
barrier(CLK_LOCAL_MEM_FENCE);
}
itile[tiX].s01 += itile[tiX+1].s01;
}
}
__kernel void set_timestep_cl(
const int ncells, // 0 Total number of cells.
const real_t sigma, // 1
__global const state_t *H_in, // 2
__global const state_t *U_in, // 3
__global const state_t *V_in, // 4
__global const uchar_t *level, // 5 Array of level information.
__global const char_t *celltype, // 6
__global const real_t *lev_dx, // 7
__global const real_t *lev_dy, // 8
__global real_t *redscratch,// 9
__global real_t *deltaT, // 10
__local real_t *tile) // 11
{
const unsigned int giX = get_global_id(0);
const unsigned int tiX = get_local_id(0);
tile[tiX] = 1000.0;
if (giX >= ncells) return;
const unsigned int group_id = get_group_id(0);
const unsigned int ntX = get_local_size(0);
// Set physical constants.
const real_t g = GRAVITATIONAL_CONSTANT; // gravitational constant
//--MEMORY MANAGEMENT-------------------------------------------------------
// Set values for the main cell.
real_t H = H_in[giX];
real_t U = U_in[giX];
real_t V = V_in[giX];
uchar_t lev = level[giX];
char_t type = celltype[giX];
//--CALCULATIONS------------------------------------------------------------
if (type == REAL_CELL){
real_t wavespeed = sqrt(g * H);
real_t xspeed = (fabs(U) + wavespeed)/lev_dx[lev];
real_t yspeed = (fabs(V) + wavespeed)/lev_dy[lev];
tile[tiX] = sigma/(xspeed+yspeed);
}
barrier(CLK_LOCAL_MEM_FENCE);
reduction_min_within_tile1(tile);
// Write the local value back to an array size of the number of groups
if (tiX == 0){
redscratch[group_id] = tile[0];
(*deltaT) = tile[0];
}
}
/* finish_reduction */
__kernel void finish_reduction_min_cl(
const int isize,
__global real_t *redscratch,
__global real_t *deltaT,
__local real_t *tile)
{
const unsigned int tiX = get_local_id(0);
const unsigned int ntX = get_local_size(0);
int giX = tiX;
tile[tiX] = 1.0e20;
if (tiX < isize) tile[tiX] = redscratch[giX];
for (giX += ntX; giX < isize; giX += ntX) {
if (redscratch[giX] < tile[tiX]) tile[tiX] = redscratch[giX];
}
barrier(CLK_LOCAL_MEM_FENCE);
reduction_min_within_tile1(tile);
if (tiX == 0) {
(*deltaT) = tile[0];
}
}
//#ifdef __APPLE_CC__
//#define max(a,b) ((a) > (b) ? (a) : (b))
//#define fabs(a) ( (a) < 0 ? -(a) : a)
//#endif
void setup_tile(__local state4_t *tile,
__local int8 *itile,
const int isize,
__global const state_t *H,
__global const state_t *U,
__global const state_t *V,
__global const int *nlft,
__global const int *nrht,
__global const int *ntop,
__global const int *nbot,
__global const uchar_t *level
);
void setup_refine_tile(
__local state_t *tile,
__local int8 *itile,
const int isize,
__global const state_t *H,
__global const int *nlft,
__global const int *nrht,
__global const int *ntop,
__global const int *nbot,
__global const uchar_t *level
);
void setup_xface(
__local int8 *xface,
__global const int *map_xface2cell_lower,
__global const int *map_xface2cell_upper
);
void setup_yface(
__local int8 *yface,
__global const int *map_yface2cell_lower,
__global const int *map_yface2cell_upper
);
__kernel void copy_state_data_cl(
const int isize, // 0
__global state_t *H, // 1
__global state_t *U, // 2
__global state_t *V, // 3
__global state_t *H_new, // 4
__global state_t *U_new, // 5
__global state_t *V_new) // 6
{
const uint giX = get_global_id(0);
if (giX >= isize) return;
H_new[giX] = H[giX];
U_new[giX] = U[giX];
V_new[giX] = V[giX];
}
__kernel void copy_state_ghost_data_cl(
const int ncells, // 0
const int nghost, // 1
__global state_t *H, // 2
__global state_t *H_add, // 3
__global state_t *U, // 4
__global state_t *U_add, // 5
__global state_t *V, // 6
__global state_t *V_add) // 7
{
const uint giX = get_global_id(0);
if (giX >= nghost) return;
H[ncells+giX] = H_add[giX];
U[ncells+giX] = U_add[giX];
V[ncells+giX] = V_add[giX];
}
#ifndef SET_TILE_VARIABLES
#define SET_TILE_VARIABLES
// Define macros for local tile access.
#define Hval(i) ( tile[i].s0 )
#define Uval(i) ( tile[i].s1 )
#define Vval(i) ( tile[i].s2 )
#define Hrefval(i) ( tile[i] )
#define nlftval(i) ( itile[i].s0 )
#define nrhtval(i) ( itile[i].s1 )
#define ntopval(i) ( itile[i].s2 )
#define nbotval(i) ( itile[i].s3 )
#define levelval(i) ( itile[i].s4 )
#define mpotval(i) ( itile[i].s5 )
#endif
#ifndef SET_FACE_VARIABLES
#define SET_FACE_VARIABLES
// Define macros for local face access
//#define xfacelower(i) ( xface[i].s0 )
//#define xfaceupper(i) ( xface[i].s1 )
//#define yfacelower(i) ( yface[i].s0 )
//#define yfaceupper(i) ( yface[i].s1 )
#endif
#define SQ(x) ( (x)*(x) )
#define MIN3(a,b,c) ( min(min((a),(b)),(c)) )
#define HXFLUX(ic) ( U[ic] )
#define UXFLUX(ic) ( SQ(U[ic])/H[ic] + ghalf*SQ(H[ic]) )
#define UVFLUX(ic) ( U[ic]*V[ic]/H[ic] )
#define HXFLUXIC ( Uic )
#define HXFLUXNL ( Ul )
#define HXFLUXNR ( Ur )
#define HXFLUXNB ( Ub )
#define HXFLUXNT ( Ut )
#define UXFLUXIC ( SQ(Uic)/Hic + ghalf*SQ(Hic) )
#define UXFLUXNL ( SQ(Ul)/Hl + ghalf*SQ(Hl) )
#define UXFLUXNR ( SQ(Ur)/Hr + ghalf*SQ(Hr) )
#define UXFLUXNB ( SQ(Ub)/Hb + ghalf*SQ(Hb) )
#define UXFLUXNT ( SQ(Ut)/Ht + ghalf*SQ(Ht) )
#define UVFLUXIC ( Uic*Vic/Hic )
#define UVFLUXNL ( Ul*Vl/Hl )
#define UVFLUXNR ( Ur*Vr/Hr )
#define UVFLUXNB ( Ub*Vb/Hb )
#define UVFLUXNT ( Ut*Vt/Ht )
#define HYFLUX(ic) ( V[ic] )
#define VUFLUX(ic) ( V[ic]*U[ic]/H[ic] )
#define VYFLUX(ic) ( SQ(V[ic])/H[ic] + ghalf*SQ(H[ic]) )
#define HYFLUXIC ( Vic )
#define HYFLUXNL ( Vl )
#define HYFLUXNR ( Vr )
#define HYFLUXNB ( Vb )
#define HYFLUXNT ( Vt )
#define VUFLUXIC ( Vic*Uic/Hic )
#define VUFLUXNL ( Vl*Ul/Hl )
#define VUFLUXNR ( Vr*Ur/Hr )
#define VUFLUXNB ( Vb*Ub/Hb )
#define VUFLUXNT ( Vt*Ut/Ht )
#define VYFLUXIC ( SQ(Vic)/Hic + ghalf*SQ(Hic) )
#define VYFLUXNL ( SQ(Vl)/Hl + ghalf*SQ(Hl) )
#define VYFLUXNR ( SQ(Vr)/Hr + ghalf*SQ(Hr) )
#define VYFLUXNB ( SQ(Vb)/Hb + ghalf*SQ(Hb) )
#define VYFLUXNT ( SQ(Vt)/Ht + ghalf*SQ(Ht) )
#define HNEWXFLUXMINUS ( Uxminus )
#define HNEWXFLUXPLUS ( Uxplus )
#define UNEWXFLUXMINUS ( SQ(Uxminus)/Hxminus + ghalf*SQ(Hxminus) )
#define UNEWXFLUXPLUS ( SQ(Uxplus) /Hxplus + ghalf*SQ(Hxplus) )
#define UVNEWFLUXMINUS ( Uxminus*Vxminus/Hxminus )
#define UVNEWFLUXPLUS ( Uxplus *Vxplus /Hxplus )
#define HNEWYFLUXMINUS ( Vyminus )
#define HNEWYFLUXPLUS ( Vyplus )
#define VNEWYFLUXMINUS ( SQ(Vyminus)/Hyminus + ghalf*SQ(Hyminus) )
#define VNEWYFLUXPLUS ( SQ(Vyplus) /Hyplus + ghalf*SQ(Hyplus) )
#define VUNEWFLUXMINUS ( Vyminus*Uyminus/Hyminus )
#define VUNEWFLUXPLUS ( Vyplus *Uyplus /Hyplus )
#define HXFLUXFACE (Ux)
#define UXFLUXFACE (SQ(Ux)/Hx + ghalf*SQ(Hx))
#define VXFLUXFACE (Ux*Vx/Hx)
#define HYFLUXFACE (Vy)
#define UYFLUXFACE (Vy*Uy/Hy)
#define VYFLUXFACE (SQ(Vy)/Hy + ghalf*SQ(Hy))
// XXX Added XXX
#define HXFLUXNLT ( Ult )
#define HXFLUXNRT ( Urt )
#define UXFLUXNLT ( SQ(Ult)/Hlt + ghalf*SQ(Hlt) )
#define UXFLUXNRT ( SQ(Urt)/Hrt + ghalf*SQ(Hrt) )
#define UVFLUXNLT ( Ult*Vlt/Hlt )
#define UVFLUXNRT ( Urt*Vrt/Hrt )
#define HYFLUXNBR ( Vbr )
#define HYFLUXNTR ( Vtr )
#define VUFLUXNBR ( Vbr*Ubr/Hbr )
#define VUFLUXNTR ( Vtr*Utr/Htr )
#define VYFLUXNBR ( SQ(Vbr)/Hbr + ghalf*SQ(Hbr) )
#define VYFLUXNTR ( SQ(Vtr)/Htr + ghalf*SQ(Htr) )
#define HNEWXFLUXMINUS2 ( Uxminus2 )
#define HNEWXFLUXPLUS2 ( Uxplus2 )
#define UNEWXFLUXMINUS2 ( SQ(Uxminus2)/Hxminus2 + ghalf*SQ(Hxminus2) )
#define UNEWXFLUXPLUS2 ( SQ(Uxplus2) /Hxplus2 + ghalf*SQ(Hxplus2) )
#define UVNEWFLUXMINUS2 ( Uxminus2*Vxminus2/Hxminus2 )
#define UVNEWFLUXPLUS2 ( Uxplus2 *Vxplus2 /Hxplus2 )
#define HNEWYFLUXMINUS2 ( Vyminus2 )
#define HNEWYFLUXPLUS2 ( Vyplus2 )
#define VNEWYFLUXMINUS2 ( SQ(Vyminus2)/Hyminus2 + ghalf*SQ(Hyminus2) )
#define VNEWYFLUXPLUS2 ( SQ(Vyplus2) /Hyplus2 + ghalf*SQ(Hyplus2) )
#define VUNEWFLUXMINUS2 ( Vyminus2*Uyminus2/Hyminus2 )
#define VUNEWFLUXPLUS2 ( Vyplus2 *Uyplus2 /Hyplus2 )
#define U_halfstep(deltaT, U_i, U_n, F_i, F_n, r_i, r_n, A_i, A_n, V_i, V_n) (( (( r_i*U_n + r_n*U_i ) / ( r_i + r_n )) - HALF*deltaT*(( F_n*A_n*min(ONE, A_i/A_n) - F_i*A_i*min(ONE, A_n/A_i) ) / ( V_n*min(HALF, V_i/V_n) + V_i*min(HALF, V_n/V_i) )) ))
real_t U_halfstep_ORIG(// XXX Fix the subindices to be more intuitive XXX
real_t deltaT, // Timestep
real_t U_i, // Initial cell's (downwind's) state variable
real_t U_n, // Next cell's (upwind's) state variable
real_t F_i, // Initial cell's (downwind's) state variable flux
real_t F_n, // Next cell's (upwind's) state variable flux
real_t r_i, // Initial cell's (downwind's) center to face dist
real_t r_n, // Next cell's (upwind's) center to face dist
real_t A_i, // Cell's face surface area
real_t A_n, // Cell's neighbor's face surface area
real_t V_i, // Cell's volume
real_t V_n) { // Cell's neighbor's volume
return (( r_i*U_n + r_n*U_i ) / ( r_i + r_n ))
- HALF*deltaT*(( F_n*A_n*min(ONE, A_i/A_n) - F_i*A_i*min(ONE, A_n/A_i) )
/ ( V_n*min(HALF, V_i/V_n) + V_i*min(HALF, V_n/V_i) ));
}
real_t U_halfstep_BD(// XXX Fix the subindices to be more intuitive XXX
real_t deltaT, // Timestep
real_t U_i, // Initial cell's (downwind's) state variable
real_t U_n, // Next cell's (upwind's) state variable
real_t F_i, // Initial cell's (downwind's) state variable flux
real_t F_n, // Next cell's (upwind's) state variable flux
real_t r_i, // Initial cell's (downwind's) center to face distance
real_t r_n, // Next cell's (upwind's) center to face distance
real_t A_i, // Cell's face surface area
real_t A_n, // Cell's neighbor's face surface area
real_t V_i, // Cell's volume
real_t V_n) { // Cell's neighbor's volume
return ((U_i*r_n+U_n*r_i)/(r_n+r_i) + (deltaT/(r_n+r_i))*(F_n-F_i));
}
#define U_fullstep(deltaT, dr, U, F_plus, F_minus, G_plus, G_minus) (( (U - (deltaT / dr)*(F_plus - F_minus + G_plus - G_minus)) ))
real_t U_fullstep_ORIG(
real_t deltaT,
real_t dr,
real_t U,
real_t F_plus,
real_t F_minus,
real_t G_plus,
real_t G_minus) {
return (U - (deltaT / dr)*(F_plus - F_minus + G_plus - G_minus));
}
//#define w_corrector(deltaT, dr, U_eigen, grad_half, grad_minus, grad_plus) (( HALF*(HALF*U_eigen*deltaT/dr)*(ONE-(HALF*U_eigen*deltaT/dr))*(ONE- max(MIN3(ONE, (grad_plus*grad_half/max(SQ(grad_half),EPSILON)), (grad_minus*grad_half/max(SQ(grad_half),EPSILON))), ZERO)) ))
real_t w_corrector(//_ORIG(
real_t deltaT, // Timestep
real_t dr, // Cell's center to face distance
real_t U_eigen, // State variable's eigenvalue (speed)
real_t grad_half, // Centered gradient
real_t grad_minus, // Downwind gradient
real_t grad_plus) { // Upwind gradient
real_t nu = HALF * U_eigen * deltaT / dr;
nu = nu * (ONE - nu);
real_t rdenom = ONE / max(SQ(grad_half), EPSILON);
real_t rplus = (grad_plus * grad_half) * rdenom;
real_t rminus = (grad_minus * grad_half) * rdenom;
return HALF*nu*(ONE- max(MIN3(ONE, rplus, rminus), ZERO));
}
__kernel void apply_boundary_conditions_local_cl(
const int ncells, // 0 Total number of cells
__global const char_t *celltype, // 1 Array of left neighbors
__global const int *nlft, // 2 Array of left neighbors
__global const int *nrht, // 3 Array of right neighbors
__global const int *ntop, // 4 Array of top neighbors
__global const int *nbot, // 5 Array of bottom neighbors
__global state_t *H, // 6 H array
__global state_t *U, // 7 U array
__global state_t *V) // 8 V array
{
const uint giX = get_global_id(0);
const uint tiX = get_local_id(0);
// Ensure the executing thread is not extraneous
if(giX >= ncells)
return;
char_t ctype = celltype[giX];
if (ctype == LEFT_BOUNDARY){
int nr = nrht[giX];
if (nr < (int)ncells) {
H[giX] = H[nr];
U[giX] = -U[nr];
V[giX] = V[nr];
}
}
if (ctype == RIGHT_BOUNDARY){
int nl = nlft[giX];
if (nl < (int)ncells) {
H[giX] = H[nl];
U[giX] = -U[nl];
V[giX] = V[nl];
}
}
if (ctype == BOTTOM_BOUNDARY){
int nt = ntop[giX];
if (nt < (int)ncells) {
H[giX] = H[nt];
U[giX] = U[nt];
V[giX] = -V[nt];
}
}
if (ctype == TOP_BOUNDARY){
int nb = nbot[giX];
if (nb < (int)ncells) {
H[giX] = H[nb];
U[giX] = U[nb];
V[giX] = -V[nb];
}
}
}
__kernel void apply_boundary_conditions_ghost_cl(
const int ncells, // 0 Total number of cells
__global const char_t *celltype, // 1 Array celltypes
__global const int *nlft, // 2 Array of left neighbors
__global const int *nrht, // 3 Array of right neighbors
__global const int *ntop, // 4 Array of top neighbors
__global const int *nbot, // 5 Array of bottom neighbors
__global real_t *H, // 6 H array
__global real_t *U, // 7 U array
__global real_t *V) // 8 V array
{
const unsigned int giX = get_global_id(0);
const unsigned int tiX = get_local_id(0);
// Ensure the executing thread is not extraneous
if(giX >= ncells)
return;
char_t ctype = celltype[giX];
if (ctype == LEFT_BOUNDARY){
int nr = nrht[giX];
if (nr >= (int)ncells) {
H[giX] = H[nr];
U[giX] = -U[nr];
V[giX] = V[nr];
}
}
if (ctype == RIGHT_BOUNDARY){
int nl = nlft[giX];
if (nl >= (int)ncells) {
H[giX] = H[nl];
U[giX] = -U[nl];
V[giX] = V[nl];
}
}
if (ctype == BOTTOM_BOUNDARY){
int nt = ntop[giX];
if (nt >= (int)ncells) {
H[giX] = H[nt];
U[giX] = U[nt];
V[giX] = -V[nt];
}
}
if (ctype == TOP_BOUNDARY){
int nb = nbot[giX];
if (nb >= (int)ncells) {
H[giX] = H[nb];
U[giX] = U[nb];
V[giX] = -V[nb];
}
}
}
__kernel void apply_boundary_conditions_cl(
const int ncells, // 0 Total number of cells
__global const char_t *celltype, // 1 Array of left neighbors
__global const int *nlft, // 2 Array of left neighbors
__global const int *nrht, // 3 Array of right neighbors
__global const int *ntop, // 4 Array of top neighbors
__global const int *nbot, // 5 Array of bottom neighbors
__global state_t *H, // 6 H array
__global state_t *U, // 7 U array
__global state_t *V) // 8 V array
{
const uint giX = get_global_id(0);
const uint tiX = get_local_id(0);
// Ensure the executing thread is not extraneous
if(giX >= ncells)
return;
char_t ctype = celltype[giX];
if (ctype == LEFT_BOUNDARY){
int nr = nrht[giX];
H[giX] = H[nr];
U[giX] = -U[nr];
V[giX] = V[nr];
}
if (ctype == RIGHT_BOUNDARY){
int nl = nlft[giX];
H[giX] = H[nl];
U[giX] = -U[nl];
V[giX] = V[nl];
}
if (ctype == BOTTOM_BOUNDARY){
int nt = ntop[giX];
H[giX] = H[nt];
U[giX] = U[nt];
V[giX] = -V[nt];
}
if (ctype == TOP_BOUNDARY){
int nb = nbot[giX];
H[giX] = H[nb];
U[giX] = U[nb];
V[giX] = -V[nb];
}
}
__kernel void calc_finite_difference_cl(
const int ncells, // 0 Total number of cells
const int levmx, // 1 Maximum level
__global const state_t *H, // 2
__global const state_t *U, // 3
__global const state_t *V, // 4
__global state_t *H_new, // 5
__global state_t *U_new, // 6
__global state_t *V_new, // 7
__global const int *nlft, // 8 Array of left neighbors
__global const int *nrht, // 9 Array of right neighbors
__global const int *ntop, // 10 Array of top neighbors
__global const int *nbot, // 11 Array of bottom neighbors
__global const uchar_t *level, // 12 Array of level information
const real_t deltaT, // 13 Size of time step.
__global const real_t *lev_dx, // 14
__global const real_t *lev_dy, // 15
__local state4_t *tile, // 16 Tile size in state4_t
__local int8 *itile){ // 17 Tile size in int8
/////////////////////////////////////////////
/// Get thread identification information ///
/////////////////////////////////////////////
const uint giX = get_global_id(0);
const uint tiX = get_local_id(0);
const uint ngX = get_global_size(0);
const uint ntX = get_local_size(0);
const uint group_id = get_group_id(0);
// Ensure the executing thread is not extraneous
if(giX >= ncells)
return;
/////////////////////////////////////////////
/// Set local tile & apply boundary conds ///
/////////////////////////////////////////////
setup_tile(tile, itile, ncells, H, U, V, nlft, nrht, ntop, nbot, level);
barrier(CLK_LOCAL_MEM_FENCE);
/////////////////////////////////////////////////
/// Declare all constants and local variables ///
/////////////////////////////////////////////////
const real_t g = GRAVITATIONAL_CONSTANT; // gravitational constant
const real_t ghalf = HALF*g;
// Left, right, ... left-left, right-right, ... left-top, right-top neighbor
int nl, nr, nt, nb;
int nll, nrr, ntt, nbb;
// Level
int lvl, lvl_nl, lvl_nr, lvl_nt, lvl_nb;
int lvl_nll, lvl_nrr, lvl_ntt, lvl_nbb;
// Left-top, right-top, top-right, bottom-right neighbor
int nlt, nrt, ntr, nbr;
// State variables at x-axis control volume face
real_t Hxminus, Hxplus;
real_t Uxminus, Uxplus;
real_t Vxminus, Vxplus;
// State variables at y-axis control volume face
real_t Hyminus, Hyplus;
real_t Uyminus, Uyplus;
real_t Vyminus, Vyplus;
// Variables for artificial viscosity/flux limiting
real_t wminusx_H, wminusx_U;
real_t wplusx_H, wplusx_U;
real_t wminusy_H, wminusy_V;
real_t wplusy_H, wplusy_V;
int nltl;
real_t Hll2;
int nrtr;
real_t Hrr2;
real_t Ull2;
real_t Urr2;
int ntrt;
real_t Htt2;
int nbrb;
real_t Hbb2;
real_t Vtt2;
real_t Vbb2;
real_t Hxminus2, Hxplus2;
real_t Uxminus2, Uxplus2;
real_t Vxminus2, Vxplus2;
real_t Hyminus2, Hyplus2;
real_t Uyminus2, Uyplus2;
real_t Vyminus2, Vyplus2;
real_t Hxfluxminus;
real_t Uxfluxminus;
real_t Vxfluxminus;
real_t Hxfluxplus;
real_t Uxfluxplus;
real_t Vxfluxplus;
real_t Hyfluxminus;
real_t Uyfluxminus;
real_t Vyfluxminus;
real_t Hyfluxplus;
real_t Uyfluxplus;
real_t Vyfluxplus;
// XXX Assuming square cells! XXX
// State variables and cell widths and lengths
real_t dric, drl, drr, drt, drb;
// real_t drlt, drrt, drtr, drbr;
real_t Hic, Hl, Hr, Ht, Hb;
real_t Hll, Hrr, Htt, Hbb;
real_t Uic, Ul, Ur, Ut, Ub;
real_t Ull, Urr;
real_t Vic, Vl, Vr, Vt, Vb;
real_t Vtt, Vbb;
real_t Hlt, Hrt, Htr, Hbr;
real_t Ult, Urt, Utr, Ubr;
real_t Vlt, Vrt, Vtr, Vbr;
// Local values for the state variables and cell widths and heights for the local cell as well
// as its neighboring cells
real_t dxic, dxl, dxr, dyic, dyt, dyb;
//////////////////////////
/// Set the local tile ///
//////////////////////////
int start_idx = group_id * ntX;
// int end_idx = (group_id + 1) * ntX;
lvl = levelval(tiX);
dxic = lev_dx[lvl];
dyic = lev_dy[lvl];
nl = nlftval(tiX);
nr = nrhtval(tiX);
nt = ntopval(tiX);
nb = nbotval(tiX);
// nl = nlft[ic];
// nr = nrht[ic];
// nt = ntop[ic];
// nb = nbot[ic];
dric = dxic;
Hic = Hval(tiX);
Uic = Uval(tiX);
Vic = Vval(tiX);
int glob_flag = 0;
// Storing all values associated with the left neighbors in local variables
if(nl < 0) {
nl = abs(nl+1);
lvl_nl = level[nl];
nll = nlft[nl];
Hl = H[nl];
Ul = U[nl];
Vl = V[nl];
dxl = lev_dx[level[nl]];
nlt = ntop[nl];
glob_flag = 1;
}
else {
lvl_nl = levelval(nl);
nll = nlftval(nl);
Hl = Hval(nl);
Ul = Uval(nl);
Vl = Vval(nl);
dxl = lev_dx[levelval(nl)];
nlt = ntopval(nl);
}
drl = dxl; // lev_dx[level[nl]];
if(nll < 0 || glob_flag == 1) {
if (nll < 0) nll = abs(nll+1);
lvl_nll = level[nll];
Hll = H[nll];
Ull = U[nll];
}
else {