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cosmo_macros.h
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#ifndef COSMO_MACROS
#define COSMO_MACROS
#include "cosmo_types.h"
/************************************************/
/* Variables that can be changed at compilation */
/* time using, eg, the -D option for gcc. */
/************************************************/
#ifndef DIM
#define DIM 3
#endif
#ifndef STENCIL_ORDER
#define STENCIL_ORDER 4
#endif
#ifndef HALF_STENCIL_ORDER
#define HALF_STENCIL_ORDER 2
#endif
#ifndef STENCIL_ORDER_WIDTH
#define STENCIL_ORDER_WIDTH STENCIL_ORDER
#endif
#ifndef GHOST_WIDTH
#define GHOST_WIDTH 5
#endif
#ifndef STEP_NUM_WIDTH
#define STEP_NUM_WIDTH 8
#endif
#ifndef REFINEMENT_ORDER
#define REFINEMENT_ORDER 1
#endif
#ifndef USE_SOMMERFIELD_BOUNDARY
#define USE_SOMMERFIELD_BOUNDARY 1
#endif
#ifndef USE_EXPANSION
#define USE_EXPANSION 0
#endif
// evolve shift as well? (if not, assumed to be zero)
#ifndef USE_BSSN_SHIFT
#define USE_BSSN_SHIFT true
#endif
// Gamma-driver gauge settings (must turn on bssn_shift as well)
#ifndef USE_GAMMA_DRIVER
#define USE_GAMMA_DRIVER true
#endif
// creat backup fields from _f fiels
// at certain step, might need it under
// certain circumstaince
#ifndef USE_BACKUP_FIELDS
#define USE_BACKUP_FIELDS false
#endif
// Optionally exclude some second-order terms
#ifndef EXCLUDE_SECOND_ORDER_SMALL
#define EXCLUDE_SECOND_ORDER_SMALL false
#endif
#ifndef EXCLUDE_SECOND_ORDER_FRW
#define EXCLUDE_SECOND_ORDER_FRW false
#endif
// Optionally compile without raytracing, multigrid classes
#ifndef USE_MULTIGRID
#define USE_MULTIGRID true
#endif
#ifndef USE_COSMOTRACE
#define USE_COSMOTRACE false
#endif
#if USE_COSMOTRACE
#define EVOLVE_LAMBDA true
#endif
#ifndef USE_DUST_FLUID
#define USE_DUST_FLUID false
#endif
//Potential types
#ifndef USE_COSMO_CONST_POTENTIAL
#define USE_COSMO_CONST_POTENTIAL true
#ifndef COSMO_CONST
#define COSMO_CONST 0.0003
#endif
#endif
#ifndef BH_FORMATION_CRITIERIA
#define BH_FORMATION_CRITIERIA 0
#endif
/*****************************************/
/* Additional variable/macro definitions */
/*****************************************/
// not really tested:
#ifndef USE_Z4C
#define USE_Z4C false
#endif
// whether calculating Weyl scalars for GWs
#ifndef CAL_WEYL_SCALS
#define CAL_WEYL_SCALS false
#endif
#ifndef USE_PROPER_TIME
#define USE_PROPER_TIME false
#endif
#define STENCIL_CONCATENATOR(function, order) function ## order
#define STENCIL_EVALUATOR(function, order) STENCIL_CONCATENATOR(function, order)
#define STENCIL_ORDER_FUNCTION(function) STENCIL_EVALUATOR(function, STENCIL_ORDER)
#define HALF_STENCIL_ORDER_FUNCTION(function) STENCIL_EVALUATOR(function, HALF_STENCIL_ORDER)
#define PI (4.0*atan(1.0))
#define SIGN(x) (((x) < 0.0) ? -1 : ((x) > 0.0))
#define pw2(x) ((x)*(x))
#define PW2(x) ((x)*(x))
#define pw3(x) ((x)*(x)*(x))
#define C_RE(c) ((c)[0])
#define C_IM(c) ((c)[1])
#define ROUND_2_IDXT(f) ((idx_t)(f >= 0.0 ? (f + 0.5) : (f - 0.5)))
#define DECLARE_REAL_T(name) \
real_t name
#define VAR_CREATE(field) \
std::shared_ptr<pdat::CellVariable<real_t>> field
#define VAR_INIT(field) \
field = std::shared_ptr<pdat::CellVariable<real_t>> ( \
new pdat::CellVariable<real_t>(dim, #field, 1))
#define RK4_PDATA_CREATE(field, type) \
std::shared_ptr<pdat::CellData<real_t>> field##_##type##_pdata
#define RK4_MDA_ACCESS_CREATE(field,type) \
arr_t field##_##type
#if USE_BACKUP_FIELDS
#define RK4_PDATA_ALL_CREATE(field) \
std::shared_ptr<pdat::CellData<real_t>> field##_a_pdata; \
std::shared_ptr<pdat::CellData<real_t>> field##_s_pdata; \
std::shared_ptr<pdat::CellData<real_t>> field##_p_pdata; \
std::shared_ptr<pdat::CellData<real_t>> field##_k1_pdata; \
std::shared_ptr<pdat::CellData<real_t>> field##_k2_pdata; \
std::shared_ptr<pdat::CellData<real_t>> field##_k3_pdata; \
std::shared_ptr<pdat::CellData<real_t>> field##_k4_pdata; \
std::shared_ptr<pdat::CellData<real_t>> field##_b_pdata
#else
#define RK4_PDATA_ALL_CREATE(field) \
std::shared_ptr<pdat::CellData<real_t>> field##_a_pdata; \
std::shared_ptr<pdat::CellData<real_t>> field##_s_pdata; \
std::shared_ptr<pdat::CellData<real_t>> field##_p_pdata; \
std::shared_ptr<pdat::CellData<real_t>> field##_k1_pdata; \
std::shared_ptr<pdat::CellData<real_t>> field##_k2_pdata; \
std::shared_ptr<pdat::CellData<real_t>> field##_k3_pdata; \
std::shared_ptr<pdat::CellData<real_t>> field##_k4_pdata
#endif
#if USE_BACKUP_FIELDS
#define RK4_MDA_ACCESS_ALL_CREATE(field) \
arr_t field##_a; \
arr_t field##_s; \
arr_t field##_p; \
arr_t field##_k1; \
arr_t field##_k2; \
arr_t field##_k3; \
arr_t field##_k4; \
arr_t field##_b
#else
#define RK4_MDA_ACCESS_ALL_CREATE(field) \
arr_t field##_a; \
arr_t field##_s; \
arr_t field##_p; \
arr_t field##_k1; \
arr_t field##_k2; \
arr_t field##_k3; \
arr_t field##_k4
#endif
// RK4 method, using 4 "registers" plus _p represents "previous,
// _a represents "active", _s represents "scratch".
// for the data being "_a"ctively used for calculation
// "_p" stores results on previous step
// "_s" is used when you need a temperary register to store somthing
#if USE_BACKUP_FIELDS
#define RK4_IDX_ALL_CREATE(name) \
idx_t name##_a_idx, name##_s_idx, name##_p_idx, name##_k1_idx, \
name##_k2_idx, name##_k3_idx, name##_k4_idx, name##_b_idx
#else
#define RK4_IDX_ALL_CREATE(name) \
idx_t name##_a_idx, name##_s_idx, name##_p_idx, name##_k1_idx, \
name##_k2_idx, name##_k3_idx, name##_k4_idx
#endif
#define RK4_IDX_CREATE(name, type) \
idx_t name##_##type##_idx
#define REG_TO_CONTEXT(field, context, name, width) \
field##_##name##_idx = \
variable_db->registerVariableAndContext( \
field, \
context, \
hier::IntVector(dim, width))
#if USE_BACKUP_FIELDS
#define RK4_ARRAY_ZERO(field, hcellmath) \
hcellmath.setToScalar(field##_a_idx, 0, 0); \
hcellmath.setToScalar(field##_s_idx, 0, 0); \
hcellmath.setToScalar(field##_p_idx, 0, 0); \
hcellmath.setToScalar(field##_k1_idx, 0, 0); \
hcellmath.setToScalar(field##_k2_idx, 0, 0); \
hcellmath.setToScalar(field##_k3_idx, 0, 0); \
hcellmath.setToScalar(field##_k4_idx, 0, 0); \
hcellmath.setToScalar(field##_b_idx, 0, 0)
#else
#define RK4_ARRAY_ZERO(field, hcellmath) \
hcellmath.setToScalar(field##_a_idx, 0, 0); \
hcellmath.setToScalar(field##_s_idx, 0, 0); \
hcellmath.setToScalar(field##_p_idx, 0, 0); \
hcellmath.setToScalar(field##_k1_idx, 0, 0); \
hcellmath.setToScalar(field##_k2_idx, 0, 0); \
hcellmath.setToScalar(field##_k3_idx, 0, 0); \
hcellmath.setToScalar(field##_k4_idx, 0, 0)
#endif
#if USE_BACKUP_FIELDS
#define RK4_ARRAY_ALLOC(field) \
level->allocatePatchData(field##_a_idx); \
level->allocatePatchData(field##_s_idx); \
level->allocatePatchData(field##_p_idx); \
level->allocatePatchData(field##_k1_idx); \
level->allocatePatchData(field##_k2_idx); \
level->allocatePatchData(field##_k3_idx); \
level->allocatePatchData(field##_k4_idx); \
level->allocatePatchData(field##_b_idx)
#else
#define RK4_ARRAY_ALLOC(field) \
level->allocatePatchData(field##_a_idx); \
level->allocatePatchData(field##_s_idx); \
level->allocatePatchData(field##_p_idx); \
level->allocatePatchData(field##_k1_idx); \
level->allocatePatchData(field##_k2_idx); \
level->allocatePatchData(field##_k3_idx); \
level->allocatePatchData(field##_k4_idx)
#endif
#define EXTRA_ARRAY_ZERO(field, hcellmath) \
hcellmath.setToScalar(field##_a_idx, 0, 0);
#define EXTRA_ARRAY_ALLOC(field) \
level->allocatePatchData(field##_a_idx)
#define ADD_TO_LIST(field, list) \
list.push_back(field##_a_idx)
#define RK4_SET_LOCAL_VALUES(name) \
bd->name = name##_a(bd->i, bd->j, bd->k);
//only add active field idx
#define ADD_VAR_TO_LIST(field) \
variable_id_list.push_back(bssnSim->field##_a_idx)
#define GEN1_IDX_CREATE(name) \
idx_t name##_a_idx
#define GEN1_PDATA_CREATE(field) \
std::shared_ptr<pdat::CellData<real_t>> field##_a_pdata; \
#define GEN1_MDA_ACCESS_CREATE(field) \
arr_t field##_a; \
#define GEN1_SET_LOCAL_VALUES(name) \
bd->name = name##_a(bd->i, bd->j, bd->k);
#define RK4_INIT_L_K1(field) \
field##_s(i,j,k) = field##_k1(i,j,k) / 2.0
#define RK4_INIT_L_K2(field) \
field##_s(i,j,k) = \
(3.0*field##_k1(i,j,k) + 4.0*field##_k2(i,j,k) \
+ 2.0*field##_k3(i,j,k) - field##_k4(i,j,k))/16.0
#define RK4_INIT_L_K3(field) \
field##_s(i,j,k) = \
(3.0*field##_k1(i,j,k) + 2.0*field##_k2(i,j,k) \
+ 4.0*field##_k3(i,j,k) - field##_k4(i,j,k))/16.0
#define RK4_INIT_L_K4(field) \
field##_s(i,j,k) = \
(field##_k2(i,j,k) + field##_k3(i,j,k))/4.0
#define RK4_INIT_R_K1(field) \
field##_s(i,j,k) = (field##_k2(i,j,k) + field##_k3(i,j,k)) / 4.0
#define RK4_INIT_R_K2(field) \
field##_s(i,j,k) = \
(-field##_k1(i,j,k) + 4.0*field##_k2(i,j,k) \
+ 2.0*field##_k3(i,j,k) + 3.0*field##_k4(i,j,k))/16.0
#define RK4_INIT_R_K3(field) \
field##_s(i,j,k) = \
(-field##_k1(i,j,k) + 2.0*field##_k2(i,j,k) \
+ 4.0*field##_k3(i,j,k) + 3.0*field##_k4(i,j,k))/16.0
#define RK4_INIT_R_K4(field) \
field##_s(i,j,k) = field##_k4(i,j,k)/2.0
#define REGISTER_SPACE_REFINE_A(field, refiner,refine_op) \
refiner.registerRefine(field##_a_idx, \
field##_a_idx, \
field##_a_idx, \
refine_op)
#define REGISTER_SPACE_REFINE_S(field, refiner,refine_op) \
refiner.registerRefine(field##_s_idx, \
field##_s_idx, \
field##_s_idx, \
refine_op)
#define REGISTER_COARSEN_A(field,coarsener,coarsen_op) \
coarsener.registerCoarsen(field##_a_idx, \
field##_a_idx, \
coarsen_op, \
NULL)
#define RK4_FINALIZE_FIELD_1(field) \
field##_k1(i,j,k) = field##_s(i,j,k); \
field##_a(i,j,k) = field##_p(i,j,k) + field##_k1(i,j,k)/2.0
#define RK4_FINALIZE_FIELD_2(field) \
field##_k2(i,j,k) = field##_s(i,j,k); \
field##_a(i,j,k) = field##_p(i,j,k) + field##_k2(i,j,k)/2.0
#define RK4_FINALIZE_FIELD_3(field) \
field##_k3(i,j,k) = field##_s(i,j,k); \
field##_a(i,j,k) = field##_p(i,j,k) + field##_k3(i,j,k)
#define RK4_FINALIZE_FIELD_4(field) \
field##_k4(i,j,k) = field##_s(i,j,k); \
field##_a(i,j,k) = field##_p(i,j,k) + \
(field##_k4(i,j,k) + 2.0*field##_k3(i,j,k) + 2.0*field##_k2(i,j,k) + field##_k1(i,j,k))/6.0
#define COPY_A_TO_P(field) \
hcellmath.copyData(field##_p_idx, field##_a_idx, 0)
#if USE_BACKUP_FIELDS
#define COPY_P_TO_B(field) \
hcellmath.copyData(field##_b_idx, field##_p_idx, 0)
#define COPY_B_TO_P(field) \
hcellmath.copyData(field##_p_idx, field##_b_idx, 0)
#define COPY_B_TO_A(field) \
hcellmath.copyData(field##_a_idx, field##_b_idx, 0)
#endif
#define PDATA_INIT(field, type) \
field##_##type##_pdata = \
SAMRAI_SHARED_PTR_CAST<pdat::CellData<double>, hier::PatchData>( \
patch->getPatchData(field##_##type##_idx))
#define MDA_ACCESS_INIT(field,type) \
field##_##type = pdat::ArrayDataAccess::access<DIM, double>( \
field##_##type##_pdata->getArrayData())
#if USE_BACKUP_FIELDS
#define PDATA_ALL_INIT(field) \
field##_p_pdata = \
SAMRAI_SHARED_PTR_CAST<pdat::CellData<double>, hier::PatchData>( \
patch->getPatchData(field##_p##_idx)); \
field##_s_pdata = \
SAMRAI_SHARED_PTR_CAST<pdat::CellData<double>, hier::PatchData>( \
patch->getPatchData(field##_s##_idx)); \
field##_a_pdata = \
SAMRAI_SHARED_PTR_CAST<pdat::CellData<double>, hier::PatchData>( \
patch->getPatchData(field##_a##_idx)); \
field##_k1_pdata = \
SAMRAI_SHARED_PTR_CAST<pdat::CellData<double>, hier::PatchData>( \
patch->getPatchData(field##_k1##_idx)); \
field##_k2_pdata = \
SAMRAI_SHARED_PTR_CAST<pdat::CellData<double>, hier::PatchData>( \
patch->getPatchData(field##_k2##_idx)); \
field##_k3_pdata = \
SAMRAI_SHARED_PTR_CAST<pdat::CellData<double>, hier::PatchData>( \
patch->getPatchData(field##_k3##_idx)); \
field##_k4_pdata = \
SAMRAI_SHARED_PTR_CAST<pdat::CellData<double>, hier::PatchData>( \
patch->getPatchData(field##_k4##_idx)); \
field##_b_pdata = \
SAMRAI_SHARED_PTR_CAST<pdat::CellData<double>, hier::PatchData>( \
patch->getPatchData(field##_b##_idx))
#else
#define PDATA_ALL_INIT(field) \
field##_p_pdata = \
SAMRAI_SHARED_PTR_CAST<pdat::CellData<double>, hier::PatchData>( \
patch->getPatchData(field##_p##_idx)); \
field##_s_pdata = \
SAMRAI_SHARED_PTR_CAST<pdat::CellData<double>, hier::PatchData>( \
patch->getPatchData(field##_s##_idx)); \
field##_a_pdata = \
SAMRAI_SHARED_PTR_CAST<pdat::CellData<double>, hier::PatchData>( \
patch->getPatchData(field##_a##_idx)); \
field##_k1_pdata = \
SAMRAI_SHARED_PTR_CAST<pdat::CellData<double>, hier::PatchData>( \
patch->getPatchData(field##_k1##_idx)); \
field##_k2_pdata = \
SAMRAI_SHARED_PTR_CAST<pdat::CellData<double>, hier::PatchData>( \
patch->getPatchData(field##_k2##_idx)); \
field##_k3_pdata = \
SAMRAI_SHARED_PTR_CAST<pdat::CellData<double>, hier::PatchData>( \
patch->getPatchData(field##_k3##_idx)); \
field##_k4_pdata = \
SAMRAI_SHARED_PTR_CAST<pdat::CellData<double>, hier::PatchData>( \
patch->getPatchData(field##_k4##_idx))
#endif
#if USE_BACKUP_FIELDS
#define MDA_ACCESS_ALL_INIT(field) \
field##_p = pdat::ArrayDataAccess::access<DIM, double>( \
field##_p_pdata->getArrayData()); \
field##_a = pdat::ArrayDataAccess::access<DIM, double>( \
field##_a_pdata->getArrayData()); \
field##_s = pdat::ArrayDataAccess::access<DIM, double>( \
field##_s_pdata->getArrayData()); \
field##_k1 = pdat::ArrayDataAccess::access<DIM, double>( \
field##_k1_pdata->getArrayData()); \
field##_k2 = pdat::ArrayDataAccess::access<DIM, double>( \
field##_k2_pdata->getArrayData()); \
field##_k3 = pdat::ArrayDataAccess::access<DIM, double>( \
field##_k3_pdata->getArrayData()); \
field##_k4 = pdat::ArrayDataAccess::access<DIM, double>( \
field##_k4_pdata->getArrayData()); \
field##_b = pdat::ArrayDataAccess::access<DIM, double>( \
field##_b_pdata->getArrayData())
#else
#define MDA_ACCESS_ALL_INIT(field) \
field##_p = pdat::ArrayDataAccess::access<DIM, double>( \
field##_p_pdata->getArrayData()); \
field##_a = pdat::ArrayDataAccess::access<DIM, double>( \
field##_a_pdata->getArrayData()); \
field##_s = pdat::ArrayDataAccess::access<DIM, double>( \
field##_s_pdata->getArrayData()); \
field##_k1 = pdat::ArrayDataAccess::access<DIM, double>( \
field##_k1_pdata->getArrayData()); \
field##_k2 = pdat::ArrayDataAccess::access<DIM, double>( \
field##_k2_pdata->getArrayData()); \
field##_k3 = pdat::ArrayDataAccess::access<DIM, double>( \
field##_k3_pdata->getArrayData()); \
field##_k4 = pdat::ArrayDataAccess::access<DIM, double>( \
field##_k4_pdata->getArrayData())
#endif
#define SET_PATCH_TIME(field, from_t, to_t) \
patch->getPatchData(field##_a_idx)->setTime(to_t); \
patch->getPatchData(field##_p_idx)->setTime(from_t) \
#define SET_LEVEL_TIME(field, from_t, to_t) \
level->setTime(to_t, field##_a_idx); \
level->setTime(from_t, field##_p_idx) \
// macros for summing
#define COSMO_SUMMATION_1(MACRO) \
( MACRO(1) + MACRO(2) + MACRO(3) )
#define COSMO_SUMMATION_1_ARGS(MACRO, ...) \
( MACRO(1, __VA_ARGS__) + MACRO(2, __VA_ARGS__) + MACRO(3, __VA_ARGS__) )
#define COSMO_SUMMATION_2(MACRO) ( \
MACRO(1, 1) + MACRO(1, 2) + MACRO(1, 3) \
+ MACRO(2, 1) + MACRO(2, 2) + MACRO(2, 3) \
+ MACRO(3, 1) + MACRO(3, 2) + MACRO(3, 3) \
)
#define COSMO_SUMMATION_2_ARGS(MACRO, ...) ( \
MACRO(1, 1, __VA_ARGS__) + MACRO(1, 2, __VA_ARGS__) + MACRO(1, 3, __VA_ARGS__) \
+ MACRO(2, 1, __VA_ARGS__) + MACRO(2, 2, __VA_ARGS__) + MACRO(2, 3, __VA_ARGS__) \
+ MACRO(3, 1, __VA_ARGS__) + MACRO(3, 2, __VA_ARGS__) + MACRO(3, 3, __VA_ARGS__) \
)
#define COSMO_SUMMATION_3(MACRO) ( \
MACRO(1, 1, 1) + MACRO(1, 1, 2) + MACRO(1, 1, 3) \
+ MACRO(1, 2, 1) + MACRO(1, 2, 2) + MACRO(1, 2, 3) \
+ MACRO(1, 3, 1) + MACRO(1, 3, 2) + MACRO(1, 3, 3) \
+ MACRO(2, 1, 1) + MACRO(2, 1, 2) + MACRO(2, 1, 3) \
+ MACRO(2, 2, 1) + MACRO(2, 2, 2) + MACRO(2, 2, 3) \
+ MACRO(2, 3, 1) + MACRO(2, 3, 2) + MACRO(2, 3, 3) \
+ MACRO(3, 1, 1) + MACRO(3, 1, 2) + MACRO(3, 1, 3) \
+ MACRO(3, 2, 1) + MACRO(3, 2, 2) + MACRO(3, 2, 3) \
+ MACRO(3, 3, 1) + MACRO(3, 3, 2) + MACRO(3, 3, 3) \
)
#define COSMO_SUMMATION_3_ARGS(MACRO, ...) ( \
MACRO(1, 1, 1, __VA_ARGS__) + MACRO(1, 1, 2, __VA_ARGS__) + MACRO(1, 1, 3, __VA_ARGS__) \
+ MACRO(1, 2, 1, __VA_ARGS__) + MACRO(1, 2, 2, __VA_ARGS__) + MACRO(1, 2, 3, __VA_ARGS__) \
+ MACRO(1, 3, 1, __VA_ARGS__) + MACRO(1, 3, 2, __VA_ARGS__) + MACRO(1, 3, 3, __VA_ARGS__) \
+ MACRO(2, 1, 1, __VA_ARGS__) + MACRO(2, 1, 2, __VA_ARGS__) + MACRO(2, 1, 3, __VA_ARGS__) \
+ MACRO(2, 2, 1, __VA_ARGS__) + MACRO(2, 2, 2, __VA_ARGS__) + MACRO(2, 2, 3, __VA_ARGS__) \
+ MACRO(2, 3, 1, __VA_ARGS__) + MACRO(2, 3, 2, __VA_ARGS__) + MACRO(2, 3, 3, __VA_ARGS__) \
+ MACRO(3, 1, 1, __VA_ARGS__) + MACRO(3, 1, 2, __VA_ARGS__) + MACRO(3, 1, 3, __VA_ARGS__) \
+ MACRO(3, 2, 1, __VA_ARGS__) + MACRO(3, 2, 2, __VA_ARGS__) + MACRO(3, 2, 3, __VA_ARGS__) \
+ MACRO(3, 3, 1, __VA_ARGS__) + MACRO(3, 3, 2, __VA_ARGS__) + MACRO(3, 3, 3, __VA_ARGS__) \
)
#define COSMO_APPLY_TO_IJK_PERMS(function) \
function(1, 1, 1); \
function(1, 1, 2); \
function(1, 1, 3); \
function(1, 2, 2); \
function(1, 2, 3); \
function(1, 3, 3); \
function(2, 1, 1); \
function(2, 1, 2); \
function(2, 1, 3); \
function(2, 2, 2); \
function(2, 2, 3); \
function(2, 3, 3); \
function(3, 1, 1); \
function(3, 1, 2); \
function(3, 1, 3); \
function(3, 2, 2); \
function(3, 2, 3); \
function(3, 3, 3);
#define COSMO_APPLY_TO_IJ_PERMS(function) \
function(1, 1); \
function(1, 2); \
function(1, 3); \
function(2, 2); \
function(2, 3); \
function(3, 3);
// only for storing dIdJgammaMN
// so I and J commute and
// M and N commute
#define COSMO_APPLY_TO_IJMN_PERMS(function) \
function(1, 1, 1, 1); \
function(1, 1, 1, 2); \
function(1, 1, 1, 3); \
function(1, 1, 2, 2); \
function(1, 1, 2, 3); \
function(1, 1, 3, 3); \
function(1, 2, 1, 1); \
function(1, 2, 1, 2); \
function(1, 2, 1, 3); \
function(1, 2, 2, 2); \
function(1, 2, 2, 3); \
function(1, 2, 3, 3); \
function(1, 3, 1, 1); \
function(1, 3, 1, 2); \
function(1, 3, 1, 3); \
function(1, 3, 2, 2); \
function(1, 3, 2, 3); \
function(1, 3, 3, 3); \
; \
function(2, 2, 1, 1); \
function(2, 2, 1, 2); \
function(2, 2, 1, 3); \
function(2, 2, 2, 2); \
function(2, 2, 2, 3); \
function(2, 2, 3, 3); \
function(2, 3, 1, 1); \
function(2, 3, 1, 2); \
function(2, 3, 1, 3); \
function(2, 3, 2, 2); \
function(2, 3, 2, 3); \
function(2, 3, 3, 3); \
; \
function(3, 3, 1, 1); \
function(3, 3, 1, 2); \
function(3, 3, 1, 3); \
function(3, 3, 2, 2); \
function(3, 3, 2, 3); \
function(3, 3, 3, 3);
#endif