diff --git "a/EinsteinBase_ADMMacros.json" "b/EinsteinBase_ADMMacros.json" new file mode 100644--- /dev/null +++ "b/EinsteinBase_ADMMacros.json" @@ -0,0 +1,173 @@ +{ + "thorn_name": "EinsteinBase/ADMMacros", + "url": "https://bitbucket.org/einsteintoolkit/einsteinbase.git", + "configuration": "# Configuration definitions for thorn CartGrid3D\n# $Header$\n\nPROVIDES ADMMacros\n{\n SCRIPT\n LANG\n}\n", + "interface": "# Interface definition for thorn ADMMacros\n# $Header$\n\nimplements: ADMMacros\n\nUSES INCLUDE: CalcTmunu_temps.inc\nUSES INCLUDE: CalcTmunu.inc\n\npublic:\n\nint local_spatial_order type=SCALAR \\\n \"Can be set pointwise to change the finite differencing order\"\n", + "params": "", + "schedule": "# Schedule definitions for thorn ADMMacros\n# $Header$\n\nSTORAGE: local_spatial_order\n\nschedule ADMMacros_SetLocalSpatialOrder AT BASEGRID\n{\n LANG: C\n WRITES: ADMMACROS::local_spatial_order(everywhere)\n} \"Initialize the local_spatial_order\"\n\n", + "src": { + "make.code.defn": "# Main make.code.defn file for thorn ADMMacros\n# $Header$\n\n# Source files in this directory\nSRCS = SetLocalSpatialOrder.c\n\n# Subdirectories containing source files\nSUBDIRS = \n\n", + "SetLocalSpatialOrder.c": " /*@@\n @file SetLocalSpatialOrder.c\n @date Fri Jul 4 12:41:00 2003\n @author Ian Hawke\n @desc \n Sets the local_spatial_order to the spatial_order parameter.\n @enddesc \n @@*/\n\n#include \"cctk.h\"\n\n#include \"cctk_Arguments.h\"\n#include \"cctk_Parameters.h\"\n\nstatic const char *rcsid = \"$Header$\";\n\nCCTK_FILEVERSION(CactusEinstein_ADMMacros_SetLocalSpatialOrder_c)\n\n/********************************************************************\n ********************* Local Data Types ***********************\n ********************************************************************/\n\n/********************************************************************\n ********************* Local Routine Prototypes *********************\n ********************************************************************/\n\n/********************************************************************\n ***************** Scheduled Routine Prototypes *********************\n ********************************************************************/\n\nvoid ADMMacros_SetLocalSpatialOrder(CCTK_ARGUMENTS);\n\n/********************************************************************\n ********************* Other Routine Prototypes *********************\n ********************************************************************/\n\n/********************************************************************\n ********************* Local Data *****************************\n ********************************************************************/\n\n/********************************************************************\n ********************* External Routines **********************\n ********************************************************************/\n\n /*@@\n @routine ADMMacros_SetLocalSpatialOrder\n @date Fri Jul 4 12:42:15 2003\n @author Ian Hawke\n @desc \n Sets the local_spatial_order to the spatial_order parameter.\n @enddesc \n @calls \n @calledby \n @history \n \n @endhistory \n\n @@*/\n\nvoid ADMMacros_SetLocalSpatialOrder(CCTK_ARGUMENTS)\n{\n \n DECLARE_CCTK_ARGUMENTS_ADMMacros_SetLocalSpatialOrder;\n DECLARE_CCTK_PARAMETERS;\n\n *local_spatial_order = spatial_order;\n\n /* if (CCTK_MyProc(cctkGH)==0) */\n /* CCTK_VInfo(CCTK_THORNSTRING, \"Spatial finite differencing order: %d\", */\n /* (int)spatial_order); */\n\n return;\n}\n", + "macro/CDXCDK_guts.h": "/*@@\n @header CDXCDK_guts.h\n @date August 98\n @author Gabrielle Allen\n @desc\n Macro to calculate the first conformal derivatives of the \n extrinsic curvature with respect to x\n @enddesc\n@@*/\n\n#ifndef CDXCDK_GUTS\n#define CDXCDK_GUTS\n\n#include \"DXDK_guts.h\"\n#include \"CHR2_guts.h\"\n\n#ifdef FCODE \n\n CDXCDK_CDXCDKXX = DXDK_DXDKXX - 2D0*(CHR2_XXX*CDXCDK_KXX \\\n + CHR2_YXX*CDXCDK_KXY + CHR2_ZXX*CDXCDK_KXZ)\n CDXCDK_CDXCDKYY = DXDK_DXDKYY - 2D0*(CHR2_XXY*CDXCDK_KXY \\\n + CHR2_YXY*CDXCDK_KYY + CHR2_ZXY*CDXCDK_KYZ)\n CDXCDK_CDXCDKZZ = DXDK_DXDKZZ - 2D0*(CHR2_XXZ*CDXCDK_KXZ \\\n + CHR2_YXZ*CDXCDK_KYZ + CHR2_ZXZ*CDXCDK_KZZ)\n\n CDXCDK_CDXCDKXY = DXDK_DXDKXY - CHR2_XXY*CDXCDK_KXX - \\\n (CHR2_XXX + CHR2_YXY)*CDXCDK_KXY - CHR2_ZXY*CDXCDK_KXZ - \\\n CHR2_YXX*CDXCDK_KYY - CHR2_ZXX*CDXCDK_KYZ\n CDXCDK_CDXCDKXZ = DXDK_DXDKXZ - CHR2_XXZ*CDXCDK_KXX - \\\n (CHR2_XXX + CHR2_ZXZ)*CDXCDK_KXZ - CHR2_YXZ*CDXCDK_KXY - \\\n CHR2_YXX*CDXCDK_KYZ - CHR2_ZXX*CDXCDK_KZZ\n CDXCDK_CDXCDKYZ = DXDK_DXDKYZ - CHR2_XXZ*CDXCDK_KXY - \\\n CHR2_XXY*CDXCDK_KXZ - CHR2_YXZ*CDXCDK_KYY - \\\n (CHR2_YXY + CHR2_ZXZ)*CDXCDK_KYZ - CHR2_ZXY*CDXCDK_KZZ\n\n#endif\n\n#ifdef CCODE\n\n CDXCDK_CDXCDKXX = DXDK_DXDKXX - 2.*(CHR2_XXX*CDXCDK_KXX\n + CHR2_YXX*CDXCDK_KXY + CHR2_ZXX*CDXCDK_KXZ);\n CDXCDK_CDXCDKYY = DXDK_DXDKYY - 2.*(CHR2_XXY*CDXCDK_KXY\n + CHR2_YXY*CDXCDK_KYY + CHR2_ZXY*CDXCDK_KYZ);\n CDXCDK_CDXCDKZZ = DXDK_DXDKZZ - 2.*(CHR2_XXZ*CDXCDK_KXZ\n + CHR2_YXZ*CDXCDK_KYZ + CHR2_ZXZ*CDXCDK_KZZ);\n\n CDXCDK_CDXCDKXY = DXDK_DXDKXY - CHR2_XXY*CDXCDK_KXX - \n (CHR2_XXX + CHR2_YXY)*CDXCDK_KXY - CHR2_ZXY*CDXCDK_KXZ - \n CHR2_YXX*CDXCDK_KYY - CHR2_ZXX*CDXCDK_KYZ;\n CDXCDK_CDXCDKXZ = DXDK_DXDKXZ - CHR2_XXZ*CDXCDK_KXX - \n (CHR2_XXX + CHR2_ZXZ)*CDXCDK_KXZ - CHR2_YXZ*CDXCDK_KXY - \n CHR2_YXX*CDXCDK_KYZ - CHR2_ZXX*CDXCDK_KZZ;\n CDXCDK_CDXCDKYZ = DXDK_DXDKYZ - CHR2_XXZ*CDXCDK_KXY - \n CHR2_XXY*CDXCDK_KXZ - CHR2_YXZ*CDXCDK_KYY - \n (CHR2_YXY + CHR2_ZXZ)*CDXCDK_KYZ - CHR2_ZXY*CDXCDK_KZZ;\n\n\n#endif\n\n#endif\n", + "macro/CHR2_declare.h": "/*@@\n @header CHR2_declare.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n Declarations for macro to calculate the Christoffel symbols of the\n second kind\n\n That is CHR2_cab = g^cd CHR1_dab\n\n = 1/2 g^cd (g_ad,b + gbd,a - gab,d)\n\n Requires: Christoffel symbols of first kind\n Uppermetric\n\n Provides: Christoffel sybols of second kind\n\n @enddesc\n@@*/\n\n#ifndef CHR2_DECLARE\n#define CHR2_DECLARE\n\n#include \"CHR1_declare.h\"\n#include \"UPPERMET_declare.h\"\n\n#ifdef FCODE\n\n/* Output variables */\n#undef CHR2_XXX \n#define CHR2_XXX gamma111\n#undef CHR2_XXY \n#define CHR2_XXY gamma112 \n#undef CHR2_XXZ \n#define CHR2_XXZ gamma113 \n#undef CHR2_XYY \n#define CHR2_XYY gamma122\n#undef CHR2_XYZ \n#define CHR2_XYZ gamma123\n#undef CHR2_XZZ\n#define CHR2_XZZ gamma133\n#undef CHR2_YXX\n#define CHR2_YXX gamma211\n#undef CHR2_YXY\n#define CHR2_YXY gamma212\n#undef CHR2_YXZ\n#define CHR2_YXZ gamma213\n#undef CHR2_YYY\n#define CHR2_YYY gamma222\n#undef CHR2_YYZ\n#define CHR2_YYZ gamma223\n#undef CHR2_YZZ\n#define CHR2_YZZ gamma233\n#undef CHR2_ZXX\n#define CHR2_ZXX gamma311\n#undef CHR2_ZXY\n#define CHR2_ZXY gamma312\n#undef CHR2_ZXZ\n#define CHR2_ZXZ gamma313\n#undef CHR2_ZYY\n#define CHR2_ZYY gamma322\n#undef CHR2_ZYZ\n#define CHR2_ZYZ gamma323\n#undef CHR2_ZZZ\n#define CHR2_ZZZ gamma333\n\n/* Declare output variables */\n CCTK_REAL CHR2_XXX\n CCTK_REAL CHR2_XXY\n CCTK_REAL CHR2_XXZ\n CCTK_REAL CHR2_XYY\n CCTK_REAL CHR2_XYZ\n CCTK_REAL CHR2_XZZ\n CCTK_REAL CHR2_YXX\n CCTK_REAL CHR2_YXY\n CCTK_REAL CHR2_YXZ\n CCTK_REAL CHR2_YYY\n CCTK_REAL CHR2_YYZ\n CCTK_REAL CHR2_YZZ\n CCTK_REAL CHR2_ZXX\n CCTK_REAL CHR2_ZXY\n CCTK_REAL CHR2_ZXZ\n CCTK_REAL CHR2_ZYY\n CCTK_REAL CHR2_ZYZ\n CCTK_REAL CHR2_ZZZ\n\n#endif\n\n\n#ifdef CCODE\n\n/* Output variables */\n#undef CHR2_XXX \n#define CHR2_XXX gamma111\n#undef CHR2_XXY \n#define CHR2_XXY gamma112 \n#undef CHR2_XXZ \n#define CHR2_XXZ gamma113 \n#undef CHR2_XYY \n#define CHR2_XYY gamma122\n#undef CHR2_XYZ \n#define CHR2_XYZ gamma123\n#undef CHR2_XZZ\n#define CHR2_XZZ gamma133\n#undef CHR2_YXX\n#define CHR2_YXX gamma211\n#undef CHR2_YXY\n#define CHR2_YXY gamma212\n#undef CHR2_YXZ\n#define CHR2_YXZ gamma213\n#undef CHR2_YYY\n#define CHR2_YYY gamma222\n#undef CHR2_YYZ\n#define CHR2_YYZ gamma223\n#undef CHR2_YZZ\n#define CHR2_YZZ gamma233\n#undef CHR2_ZXX\n#define CHR2_ZXX gamma311\n#undef CHR2_ZXY\n#define CHR2_ZXY gamma312\n#undef CHR2_ZXZ\n#define CHR2_ZXZ gamma313\n#undef CHR2_ZYY\n#define CHR2_ZYY gamma322\n#undef CHR2_ZYZ\n#define CHR2_ZYZ gamma323\n#undef CHR2_ZZZ\n#define CHR2_ZZZ gamma333\n\n/* Declare output variables */\nCCTK_REAL CHR2_XXX;\nCCTK_REAL CHR2_XXY;\nCCTK_REAL CHR2_XXZ;\nCCTK_REAL CHR2_XYY;\nCCTK_REAL CHR2_XYZ;\nCCTK_REAL CHR2_XZZ;\nCCTK_REAL CHR2_YXX;\nCCTK_REAL CHR2_YXY;\nCCTK_REAL CHR2_YXZ;\nCCTK_REAL CHR2_YYY;\nCCTK_REAL CHR2_YYZ;\nCCTK_REAL CHR2_YZZ;\nCCTK_REAL CHR2_ZXX;\nCCTK_REAL CHR2_ZXY;\nCCTK_REAL CHR2_ZXZ;\nCCTK_REAL CHR2_ZYY;\nCCTK_REAL CHR2_ZYZ;\nCCTK_REAL CHR2_ZZZ;\n\n#endif\n\n/* Symmetries */\n#undef CHR2_XYX \n#define CHR2_XYX CHR2_XXY\n#undef CHR2_XZX \n#define CHR2_XZX CHR2_XXZ\n#undef CHR2_XZY \n#define CHR2_XZY CHR2_XYZ\n#undef CHR2_YYX\n#define CHR2_YYX CHR2_YXY\n#undef CHR2_YZX\n#define CHR2_YZX CHR2_YXZ\n#undef CHR2_YZY\n#define CHR2_YZY CHR2_YYZ\n#undef CHR2_ZYX\n#define CHR2_ZYX CHR2_ZXY\n#undef CHR2_ZZX\n#define CHR2_ZZX CHR2_ZXZ\n#undef CHR2_ZZY\n#define CHR2_ZZY CHR2_ZYZ\n\n#endif\n\n\n\n", + "macro/KK_undefine.h": "/*@@\n @header KK_undefine.h\n @date Jul 98\n @author Gabrielle Allen\n @desc\n @enddesc\n@@*/\n\n#undef KK_GUTS\n\n#include \"UPPERMET_undefine.h\"\n\n \n", + "macro/DXDB_declare.h": "/*@@\n @header DXDB_declare.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n Declarations for macro @seefile DXDB_guts.h to compute first \n derivatives of the shift with respect to x\n @enddesc\n@@*/\n\n#ifndef DXDB_DECLARE\n#define DXDB_DECLARE\n\n#ifdef FCODE\n\n/* Input variables */\n#undef DXDB_BX\n#define DXDB_BX betax(i,j,k)\n#undef DXDB_BY\n#define DXDB_BY betay(i,j,k)\n#undef DXDB_BZ\n#define DXDB_BZ betaz(i,j,k)\n#undef DXDB_BX_IP \n#define DXDB_BX_IP betax(i+1,j,k)\n#undef DXDB_BX_IPP\n#define DXDB_BX_IPP betax(i+2,j,k)\n#undef DXDB_BX_IM\n#define DXDB_BX_IM betax(i-1,j,k)\n#undef DXDB_BX_IMM\n#define DXDB_BX_IMM betax(i-2,j,k)\n#undef DXDB_BY_IP \n#define DXDB_BY_IP betay(i+1,j,k)\n#undef DXDB_BY_IPP \n#define DXDB_BY_IPP betay(i+2,j,k)\n#undef DXDB_BY_IM \n#define DXDB_BY_IM betay(i-1,j,k)\n#undef DXDB_BY_IMM\n#define DXDB_BY_IMM betay(i-2,j,k)\n#undef DXDB_BZ_IP \n#define DXDB_BZ_IP betaz(i+1,j,k)\n#undef DXDB_BZ_IPP \n#define DXDB_BZ_IPP betaz(i+2,j,k)\n#undef DXDB_BZ_IM\n#define DXDB_BZ_IM betaz(i-1,j,k)\n#undef DXDB_BZ_IMM\n#define DXDB_BZ_IMM betaz(i-2,j,k)\n\n/* Output variables */ \n#undef DXDB_DXDBX\n#define DXDB_DXDBX dxdb_dxdbx\n#undef DXDB_DXDBY\n#define DXDB_DXDBY dxdb_dxdby\n#undef DXDB_DXDBZ\n#define DXDB_DXDBZ dxdb_dxdbz\n\n/* Internal variables */\n#undef DXDB_DX\n#define DXDB_DX dx\n#undef DXDB_OO2DX \n#define DXDB_OO2DX dxdb_oo2dx\n\n/* Declare internal variables */\n CCTK_REAL DXDB_OO2DX\n\n/* Declare output variables */\n CCTK_REAL DXDB_DXDBX\n CCTK_REAL DXDB_DXDBY\n CCTK_REAL DXDB_DXDBZ\n\n#endif\n\n\n#ifdef CCODE\n\n/* Input variables */\n#undef DXDB_BX\n#define DXDB_BX betax[ijk]\n#undef DXDB_BY\n#define DXDB_BY betay[ijk]\n#undef DXDB_BZ\n#define DXDB_BZ betaz[ijk]\n#undef DXDB_BX_IP \n#define DXDB_BX_IP betax[ di+ijk]\n#undef DXDB_BX_IM\n#define DXDB_BX_IM betax[-di+ijk]\n#undef DXDB_BY_IP \n#define DXDB_BY_IP betay[ di+ijk]\n#undef DXDB_BY_IM \n#define DXDB_BY_IM betay[-di+ijk]\n#undef DXDB_BZ_IP \n#define DXDB_BZ_IP betaz[ di+ijk]\n#undef DXDB_BZ_IM\n#define DXDB_BZ_IM betaz[-di+ijk]\n\n/* Output variables */ \n#undef DXDB_DXDBX\n#define DXDB_DXDBX delbeta11\n#undef DXDB_DXDBY\n#define DXDB_DXDBY delbeta12\n#undef DXDB_DXDBZ\n#define DXDB_DXDBZ delbeta13\n\n/* Internal variables */\n#undef DXDB_OO2DX \n#define DXDB_OO2DX dxdb_oo2dx\n\n/* Declare internal variables */\nCCTK_REAL DXDB_OO2DX;\n\n/* Declare output variables */\nCCTK_REAL DXDB_DXDBX;\nCCTK_REAL DXDB_DXDBY;\nCCTK_REAL DXDB_DXDBZ;\n\n#endif\n\n#endif\n", + "macro/DXZDG_guts.h": "/*@@\n @header DXZDG_guts.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n Macro to calculate the (first and) second derivatives of the \n physical metric with respect to x,z\n\n The macro is defined in terms of standard variables in\n @seefile DXZDG_declare.h\n\n The macro uses @seefile DXDG_guts.h , @seefile DZDG_guts.h and \n @seefile DXDG_declare.h , @seefile DZDG_declare.h\n @enddesc\n@@*/\n\n#ifndef DXZDG_GUTS\n#define DXZDG_GUTS\n\n#include \"DXDG_guts.h\"\n#include \"DZDG_guts.h\"\n\n#ifdef FCODE \n\n#include \"ADM_Derivative.h\"\n\n /* Factor involving 2nd derivative of conformal factor, nowadays zero */ \n DXZDG_FAC = 0\n\n /* Now calculate the second deriatives */\n if (local_spatial_order.eq.2) then \n DXZDG_DXZDGXX = DZDCG_DZDCGXX*DXDG_FAC + DXDCG_DXDCGXX*DZDG_FAC \\\n + DXZDG_FAC*DXDG_GXX + DXDG_PSI4*ADM_DXZ_2(gxx,i,j,k)\n\n DXZDG_DXZDGXY = DZDCG_DZDCGXY*DXDG_FAC + DXDCG_DXDCGXY*DZDG_FAC \\\n + DXZDG_FAC*DXDG_GXY + DXDG_PSI4*ADM_DXZ_2(gxy,i,j,k)\n\n DXZDG_DXZDGXZ = DZDCG_DZDCGXZ*DXDG_FAC + DXDCG_DXDCGXZ*DZDG_FAC \\\n + DXZDG_FAC*DXDG_GXZ + DXDG_PSI4*ADM_DXZ_2(gxz,i,j,k)\n\n DXZDG_DXZDGYY = DZDCG_DZDCGYY*DXDG_FAC + DXDCG_DXDCGYY*DZDG_FAC \\\n + DXZDG_FAC*DXDG_GYY + DXDG_PSI4*ADM_DXZ_2(gyy,i,j,k)\n\n DXZDG_DXZDGYZ = DZDCG_DZDCGYZ*DXDG_FAC + DXDCG_DXDCGYZ*DZDG_FAC \\\n + DXZDG_FAC*DXDG_GYZ + DXDG_PSI4*ADM_DXZ_2(gyz,i,j,k)\n\n DXZDG_DXZDGZZ = DZDCG_DZDCGZZ*DXDG_FAC + DXDCG_DXDCGZZ*DZDG_FAC \\\n + DXZDG_FAC*DXDG_GZZ + DXDG_PSI4*ADM_DXZ_2(gzz,i,j,k)\n\n else\n\n DXZDG_DXZDGXX = DZDCG_DZDCGXX*DXDG_FAC + DXDCG_DXDCGXX*DZDG_FAC \\\n + DXZDG_FAC*DXDG_GXX + DXDG_PSI4*ADM_DXZ_4(gxx,i,j,k)\n\n DXZDG_DXZDGXY = DZDCG_DZDCGXY*DXDG_FAC + DXDCG_DXDCGXY*DZDG_FAC \\\n + DXZDG_FAC*DXDG_GXY + DXDG_PSI4*ADM_DXZ_4(gxy,i,j,k)\n\n DXZDG_DXZDGXZ = DZDCG_DZDCGXZ*DXDG_FAC + DXDCG_DXDCGXZ*DZDG_FAC \\\n + DXZDG_FAC*DXDG_GXZ + DXDG_PSI4*ADM_DXZ_4(gxz,i,j,k)\n\n DXZDG_DXZDGYY = DZDCG_DZDCGYY*DXDG_FAC + DXDCG_DXDCGYY*DZDG_FAC \\\n + DXZDG_FAC*DXDG_GYY + DXDG_PSI4*ADM_DXZ_4(gyy,i,j,k)\n\n DXZDG_DXZDGYZ = DZDCG_DZDCGYZ*DXDG_FAC + DXDCG_DXDCGYZ*DZDG_FAC \\\n + DXZDG_FAC*DXDG_GYZ + DXDG_PSI4*ADM_DXZ_4(gyz,i,j,k)\n\n DXZDG_DXZDGZZ = DZDCG_DZDCGZZ*DXDG_FAC + DXDCG_DXDCGZZ*DZDG_FAC \\\n + DXZDG_FAC*DXDG_GZZ + DXDG_PSI4*ADM_DXZ_4(gzz,i,j,k)\n end if\n\n#endif\n\n#ifdef CCODE\n\n /* Factor involving 2nd derivative of conformal factor, nowadays zero */ \n DXZDG_FAC = 0;\n\n /* Now calculate the second deriatives */\n DXZDG_DXZDGXX = DZDCG_DZDCGXX*DXDG_FAC+DXDCG_DXDCGXX*DZDG_FAC+DXZDG_FAC*DXDG_GXX+\n DXDG_PSI4*DXZDG_OO4DXDZ*(DXZDG_GXX_IPKP-DXZDG_GXX_IPKM-DXZDG_GXX_IMKP+\n DXZDG_GXX_IMKM);\n\n DXZDG_DXZDGXY = DZDCG_DZDCGXY*DXDG_FAC+DXDCG_DXDCGXY*DZDG_FAC+DXZDG_FAC*DXDG_GXY+\n DXDG_PSI4*DXZDG_OO4DXDZ*(DXZDG_GXY_IPKP-DXZDG_GXY_IPKM-DXZDG_GXY_IMKP+\n DXZDG_GXY_IMKM);\n\n DXZDG_DXZDGXZ = DZDCG_DZDCGXZ*DXDG_FAC+DXDCG_DXDCGXZ*DZDG_FAC+DXZDG_FAC*DXDG_GXZ+\n DXDG_PSI4*DXZDG_OO4DXDZ*(DXZDG_GXZ_IPKP-DXZDG_GXZ_IPKM-DXZDG_GXZ_IMKP+\n DXZDG_GXZ_IMKM);\n\n DXZDG_DXZDGYY = DZDCG_DZDCGYY*DXDG_FAC+DXDCG_DXDCGYY*DZDG_FAC+DXZDG_FAC*DXDG_GYY+\n DXDG_PSI4*DXZDG_OO4DXDZ*(DXZDG_GYY_IPKP-DXZDG_GYY_IPKM-DXZDG_GYY_IMKP+\n DXZDG_GYY_IMKM);\n\n DXZDG_DXZDGYZ = DZDCG_DZDCGYZ*DXDG_FAC+DXDCG_DXDCGYZ*DZDG_FAC+DXZDG_FAC*DXDG_GYZ+\n DXDG_PSI4*DXZDG_OO4DXDZ*(DXZDG_GYZ_IPKP-DXZDG_GYZ_IPKM-DXZDG_GYZ_IMKP+\n DXZDG_GYZ_IMKM);\n\n DXZDG_DXZDGZZ = DZDCG_DZDCGZZ*DXDG_FAC+DXDCG_DXDCGZZ*DZDG_FAC+DXZDG_FAC*DXDG_GZZ+\n DXDG_PSI4*DXZDG_OO4DXDZ*(DXZDG_GZZ_IPKP-DXZDG_GZZ_IPKM-DXZDG_GZZ_IMKP+\n DXZDG_GZZ_IMKM);\n\n#endif\n\n#endif\n", + "macro/CDCDA_declare.h": "/*@@\n @header CDCDA_declare.h\n @date Jul 98\n @author Gabrielle Allen\n @desc\n Declarations for macro to calculate all second covariant spatial derivative of lapse\n\n That is alpha_{;ij}\n @enddesc\n@@*/\n\n#ifndef CDCDA_DECLARE\n#define CDCDA_DECLARE\n\n#include \"DA_declare.h\"\n#include \"DDA_declare.h\"\n#include \"CHR2_declare.h\"\n\n/* Output variables */ \n#undef CDCDA_CDXXDA\n#define CDCDA_CDXXDA cdcda_cdxxda\n#undef CDCDA_CDXYDA\n#define CDCDA_CDXYDA cdcda_cdxyda\n#undef CDCDA_CDXZDA\n#define CDCDA_CDXZDA cdcda_cdxzda\n#undef CDCDA_CDYYDA\n#define CDCDA_CDYYDA cdcda_cdyyda\n#undef CDCDA_CDYZDA\n#define CDCDA_CDYZDA cdcda_cdyzda\n#undef CDCDA_CDZZDA\n#define CDCDA_CDZZDA cdcda_cdzzda\n\n#ifdef FCODE\n\n/* Declare output variables */\n CCTK_REAL CDCDA_CDXXDA\n CCTK_REAL CDCDA_CDXYDA\n CCTK_REAL CDCDA_CDXZDA\n CCTK_REAL CDCDA_CDYYDA\n CCTK_REAL CDCDA_CDYZDA\n CCTK_REAL CDCDA_CDZZDA\n\n#endif\n\n#ifdef CCODE\n\n/* Declare output variables */\n CCTK_REAL CDCDA_CDXXDA;\n CCTK_REAL CDCDA_CDXYDA;\n CCTK_REAL CDCDA_CDXZDA;\n CCTK_REAL CDCDA_CDYYDA;\n CCTK_REAL CDCDA_CDYZDA;\n CCTK_REAL CDCDA_CDZZDA;\n\n#endif\n\n#endif\n", + "macro/MOMXADM_guts.h": "/*@@\n @header MOMXADM_guts.h\n @date Aug 98\n @author Gabrielle Allen\n @desc\n Macro to calculate the spacetime part of the \n x-Momentum Constraint. That is:\n\n Del_j K_x^j - Del_x trK \n\n @enddesc\n@@*/\n\n#ifndef MOMXADM_GUTS\n#define MOMXADM_GUTS\n\n#include \"UPPERMET_guts.h\"\n#include \"CDK_guts.h\"\n\n#ifdef FCODE \n\n MOMXADM_MOMXADM = (-CDXCDK_CDXCDKXY + CDYCDK_CDYCDKXX)*UPPERMET_UXY \\\n + (-CDXCDK_CDXCDKXZ + CDZCDK_CDZCDKXX)*UPPERMET_UXZ + \\\n (-CDXCDK_CDXCDKYY + CDYCDK_CDYCDKXY)*UPPERMET_UYY + \\\n (-2*CDXCDK_CDXCDKYZ + CDYCDK_CDYCDKXZ + CDZCDK_CDZCDKXY)* \\\n UPPERMET_UYZ + (-CDXCDK_CDXCDKZZ + CDZCDK_CDZCDKXZ)*UPPERMET_UZZ\n\n#endif\n\n#ifdef CCODE\n\n MOMXADM_MOMXADM = (-CDXCDK_CDXCDKXY + CDYCDK_CDYCDKXX)*UPPERMET_UXY \n + (-CDXCDK_CDXCDKXZ + CDZCDK_CDZCDKXX)*UPPERMET_UXZ + \n (-CDXCDK_CDXCDKYY + CDYCDK_CDYCDKXY)*UPPERMET_UYY + \n (-2*CDXCDK_CDXCDKYZ + CDYCDK_CDYCDKXZ + CDZCDK_CDZCDKXY)*\n UPPERMET_UYZ + (-CDXCDK_CDXCDKZZ + CDZCDK_CDZCDKXZ)*UPPERMET_UZZ;\n\n#endif\n\n#endif\n\n", + "macro/MOMYADM_undefine.h": "/*@@\n @header MOMYADM_undefine.h\n @date Aug 98\n @author Gabrielle Allen\n @desc\n @enddesc\n@@*/\n\n#undef MOMYADM_GUTS\n\n#include \"UPPERMET_undefine.h\"\n#include \"CDK_undefine.h\"\n\n\n\n\n\n", + "macro/CDZCDK_declare.h": "/*@@\n @header CDZCDK_declare.h\n @date Aug 98\n @author Gabrielle Allen\n @desc\n Declarations for macro to compute first conformal\n derivatives of the extrinsic curvature with respect to z\n @enddesc\n@@*/\n\n#ifndef CDZCDK_DECLARE\n#define CDZCDK_DECLARE\n\n#include \"DZDK_declare.h\"\n#include \"CHR2_declare.h\"\n\n#ifdef FCODE\n\n/* Input variables */\n#undef CDZCDK_KXX \n#define CDZCDK_KXX kxx(i,j,k)\n#undef CDZCDK_KXY \n#define CDZCDK_KXY kxy(i,j,k)\n#undef CDZCDK_KXZ \n#define CDZCDK_KXZ kxz(i,j,k)\n#undef CDZCDK_KYY \n#define CDZCDK_KYY kyy(i,j,k)\n#undef CDZCDK_KYZ \n#define CDZCDK_KYZ kyz(i,j,k)\n#undef CDZCDK_KZZ \n#define CDZCDK_KZZ kzz(i,j,k)\n\n/* Output variables */ \n#undef CDZCDK_CDZCDKXX\n#define CDZCDK_CDZCDKXX cdzcdk_cdzcdkxx\n#undef CDZCDK_CDZCDKXY\n#define CDZCDK_CDZCDKXY cdzcdk_cdzcdkxy\n#undef CDZCDK_CDZCDKXZ\n#define CDZCDK_CDZCDKXZ cdzcdk_cdzcdkxz\n#undef CDZCDK_CDZCDKYY\n#define CDZCDK_CDZCDKYY cdzcdk_cdzcdkyy\n#undef CDZCDK_CDZCDKYZ\n#define CDZCDK_CDZCDKYZ cdzcdk_cdzcdkyz\n#undef CDZCDK_CDZCDKZZ\n#define CDZCDK_CDZCDKZZ cdzcdk_cdzcdkzz\n\n/* Declare output variables */\n CCTK_REAL CDZCDK_CDZCDKXX\n CCTK_REAL CDZCDK_CDZCDKXY\n CCTK_REAL CDZCDK_CDZCDKXZ\n CCTK_REAL CDZCDK_CDZCDKYY\n CCTK_REAL CDZCDK_CDZCDKYZ\n CCTK_REAL CDZCDK_CDZCDKZZ\n\n#endif\n\n\n#ifdef CCODE\n\n/* Input variables */\n#undef CDZCDK_KXX \n#define CDZCDK_KXX kxx[ijk]\n#undef CDZCDK_KXY \n#define CDZCDK_KXY kxy[ijk]\n#undef CDZCDK_KXZ \n#define CDZCDK_KXZ kxz[ijk]\n#undef CDZCDK_KYY \n#define CDZCDK_KYY kyy[ijk]\n#undef CDZCDK_KYZ \n#define CDZCDK_KYZ kyz[ijk]\n#undef CDZCDK_KZZ \n#define CDZCDK_KZZ kzz[ijk]\n\n/* Output variables */ \n#undef CDZCDK_CDZCDKXX\n#define CDZCDK_CDZCDKXX cdzcdk_cdzcdkxx\n#undef CDZCDK_CDZCDKXY\n#define CDZCDK_CDZCDKXY cdzcdk_cdzcdkxy\n#undef CDZCDK_CDZCDKXZ\n#define CDZCDK_CDZCDKXZ cdzcdk_cdzcdkxz\n#undef CDZCDK_CDZCDKYY\n#define CDZCDK_CDZCDKYY cdzcdk_cdzcdkyy\n#undef CDZCDK_CDZCDKYZ\n#define CDZCDK_CDZCDKYZ cdzcdk_cdzcdkyz\n#undef CDZCDK_CDZCDKZZ\n#define CDZCDK_CDZCDKZZ cdzcdk_cdzcdkzz\n\n/* Declare output variables */\nCCTK_REAL CDZCDK_CDZCDKXX;\nCCTK_REAL CDZCDK_CDZCDKXY;\nCCTK_REAL CDZCDK_CDZCDKXZ;\nCCTK_REAL CDZCDK_CDZCDKYY;\nCCTK_REAL CDZCDK_CDZCDKYZ;\nCCTK_REAL CDZCDK_CDZCDKZZ;\n\n#endif\n\n#endif\n", + "macro/UPPERMET_declare.h": "/*@@\n @header UPPERMET_declare.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n Declarations for macro to calculate the components of the upper \n physical metric.\n @enddesc\n@@*/\n\n#ifndef UPPERMET_DECLARE\n#define UPPERMET_DECLARE\n\n#include \"DETG_declare.h\"\n\n#ifdef FCODE\n\n/* Output variables */\n#undef UPPERMET_UXX\n#define UPPERMET_UXX uppermet_uxx\n#undef UPPERMET_UXY\n#define UPPERMET_UXY uppermet_uxy\n#undef UPPERMET_UXZ\n#define UPPERMET_UXZ uppermet_uxz\n#undef UPPERMET_UYY\n#define UPPERMET_UYY uppermet_uyy\n#undef UPPERMET_UYZ\n#define UPPERMET_UYZ uppermet_uyz\n#undef UPPERMET_UZZ\n#define UPPERMET_UZZ uppermet_uzz\n\n/* Temporary variables */\n\n#undef IUPPERMET_PSI4DET\n#define IUPPERMET_PSI4DET iuppermet_fdet\n\n/* Declare internal variables */\n CCTK_REAL IUPPERMET_PSI4DET\n\n/* Declare output variables */\n CCTK_REAL UPPERMET_UXX, UPPERMET_UXY, UPPERMET_UXZ\n CCTK_REAL UPPERMET_UYY, UPPERMET_UYZ, UPPERMET_UZZ\n\n#endif\n\n\n\n\n#ifdef CCODE\n\n/* Output variables */\n#undef UPPERMET_UXX\n#define UPPERMET_UXX uppermet_uxx\n#undef UPPERMET_UXY\n#define UPPERMET_UXY uppermet_uxy\n#undef UPPERMET_UXZ\n#define UPPERMET_UXZ uppermet_uxz\n#undef UPPERMET_UYY\n#define UPPERMET_UYY uppermet_uyy\n#undef UPPERMET_UYZ\n#define UPPERMET_UYZ uppermet_uyz\n#undef UPPERMET_UZZ\n#define UPPERMET_UZZ uppermet_uzz\n\n/* Internal variables */\n#undef IUPPERMET_PSI4DET \n#define IUPPERMET_PSI4DET iuppermet_psi4detg\n\n/* Declare internal variables */\nCCTK_REAL IUPPERMET_PSI4DET;\n\n/* Declare output variables */\nCCTK_REAL UPPERMET_UXX;\nCCTK_REAL UPPERMET_UXY;\nCCTK_REAL UPPERMET_UXZ;\nCCTK_REAL UPPERMET_UYY;\nCCTK_REAL UPPERMET_UYZ;\nCCTK_REAL UPPERMET_UZZ;\n\n#endif\n\n/* Symmetries */\n#undef UPPERMET_UYX\n#define UPPERMET_UYX UPPERMET_UXY\n#undef UPPERMET_UZX\n#define UPPERMET_UZX UPPERMET_UXZ\n#undef UPPERMET_UZY\n#define UPPERMET_UZY UPPERMET_UYZ\n\n#endif\n\n\n\n", + "macro/DXZDG_declare.h": "/*@@\n @header DXZDG_declare.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n Declaration for macro to calculate the (first and) second derivatives \n of the physical metric with respect to x,z\n\n The macro uses @seefile DXDG_guts.h , @seefile DZDG_guts.h and \n @seefile DXDG_declare.h , @seefile DZDG_declare.h\n @enddesc\n@@*/\n\n#ifndef DXZDG_DECLARE\n#define DXZDG_DECLARE\n\n#include \"DXDG_declare.h\"\n#include \"DZDG_declare.h\"\n\n#ifdef FCODE\n\n/* Input variables */\n#undef DXZDG_GXX_IPKP \n#define DXZDG_GXX_IPKP gxx(i+1,j,k+1)\n#undef DXZDG_GXX_IPKM \n#define DXZDG_GXX_IPKM gxx(i+1,j,k-1)\n#undef DXZDG_GXX_IMKP \n#define DXZDG_GXX_IMKP gxx(i-1,j,k+1)\n#undef DXZDG_GXX_IMKM \n#define DXZDG_GXX_IMKM gxx(i-1,j,k-1)\n\n#undef DXZDG_GXY_IPKP \n#define DXZDG_GXY_IPKP gxy(i+1,j,k+1)\n#undef DXZDG_GXY_IPKM \n#define DXZDG_GXY_IPKM gxy(i+1,j,k-1)\n#undef DXZDG_GXY_IMKP \n#define DXZDG_GXY_IMKP gxy(i-1,j,k+1)\n#undef DXZDG_GXY_IMKM \n#define DXZDG_GXY_IMKM gxy(i-1,j,k-1)\n\n#undef DXZDG_GXZ_IPKP \n#define DXZDG_GXZ_IPKP gxz(i+1,j,k+1)\n#undef DXZDG_GXZ_IPKM \n#define DXZDG_GXZ_IPKM gxz(i+1,j,k-1)\n#undef DXZDG_GXZ_IMKP \n#define DXZDG_GXZ_IMKP gxz(i-1,j,k+1)\n#undef DXZDG_GXZ_IMKM \n#define DXZDG_GXZ_IMKM gxz(i-1,j,k-1)\n\n#undef DXZDG_GYY_IPKP \n#define DXZDG_GYY_IPKP gyy(i+1,j,k+1)\n#undef DXZDG_GYY_IPKM \n#define DXZDG_GYY_IPKM gyy(i+1,j,k-1)\n#undef DXZDG_GYY_IMKP \n#define DXZDG_GYY_IMKP gyy(i-1,j,k+1)\n#undef DXZDG_GYY_IMKM \n#define DXZDG_GYY_IMKM gyy(i-1,j,k-1)\n\n#undef DXZDG_GYZ_IPKP \n#define DXZDG_GYZ_IPKP gyz(i+1,j,k+1)\n#undef DXZDG_GYZ_IPKM \n#define DXZDG_GYZ_IPKM gyz(i+1,j,k-1)\n#undef DXZDG_GYZ_IMKP \n#define DXZDG_GYZ_IMKP gyz(i-1,j,k+1)\n#undef DXZDG_GYZ_IMKM \n#define DXZDG_GYZ_IMKM gyz(i-1,j,k-1)\n\n#undef DXZDG_GZZ_IPKP \n#define DXZDG_GZZ_IPKP gzz(i+1,j,k+1)\n#undef DXZDG_GZZ_IPKM \n#define DXZDG_GZZ_IPKM gzz(i+1,j,k-1)\n#undef DXZDG_GZZ_IMKP \n#define DXZDG_GZZ_IMKP gzz(i-1,j,k+1)\n#undef DXZDG_GZZ_IMKM \n#define DXZDG_GZZ_IMKM gzz(i-1,j,k-1)\n\n/* Output variables */\n#undef DXZDG_DXZDGXX\n#define DXZDG_DXZDGXX deldelg1311\n#undef DXZDG_DXZDGXY\n#define DXZDG_DXZDGXY deldelg1312\n#undef DXZDG_DXZDGXZ\n#define DXZDG_DXZDGXZ deldelg1313\n#undef DXZDG_DXZDGYY\n#define DXZDG_DXZDGYY deldelg1322\n#undef DXZDG_DXZDGYZ\n#define DXZDG_DXZDGYZ deldelg1323\n#undef DXZDG_DXZDGZZ\n#define DXZDG_DXZDGZZ deldelg1333\n\n/* Internal variables */\n#undef DXZDG_FAC \n#define DXZDG_FAC dxzdg_fac\n#undef DXZDG_OO4DXDZ\n#define DXZDG_OO4DXDZ dxzdg_oo4dxdz\n#undef DXZDG_DXZDPSI_O_PSI\n#define DXZDG_DXZDPSI_O_PSI 0.\n\n/* Declare internal variables */\n CCTK_REAL DXZDG_FAC\n CCTK_REAL DXZDG_OO4DXDZ \n\n/* Declare output variables */\n CCTK_REAL DXZDG_DXZDGXX\n CCTK_REAL DXZDG_DXZDGXY\n CCTK_REAL DXZDG_DXZDGXZ\n CCTK_REAL DXZDG_DXZDGYY\n CCTK_REAL DXZDG_DXZDGYZ\n CCTK_REAL DXZDG_DXZDGZZ\n\n#endif\n\n#ifdef CCODE\n\n/* Input variables */\n#undef DXZDG_GXX_IPKP \n#define DXZDG_GXX_IPKP gxx[ di + dk + ijk]\n#undef DXZDG_GXX_IPKM \n#define DXZDG_GXX_IPKM gxx[ di - dk + ijk]\n#undef DXZDG_GXX_IMKP \n#define DXZDG_GXX_IMKP gxx[-di + dk + ijk]\n#undef DXZDG_GXX_IMKM \n#define DXZDG_GXX_IMKM gxx[-di - dk + ijk]\n\n#undef DXZDG_GXY_IPKP \n#define DXZDG_GXY_IPKP gxy[ di + dk + ijk]\n#undef DXZDG_GXY_IPKM \n#define DXZDG_GXY_IPKM gxy[ di - dk + ijk]\n#undef DXZDG_GXY_IMKP \n#define DXZDG_GXY_IMKP gxy[-di + dk + ijk]\n#undef DXZDG_GXY_IMKM \n#define DXZDG_GXY_IMKM gxy[-di - dk + ijk]\n\n#undef DXZDG_GXZ_IPKP \n#define DXZDG_GXZ_IPKP gxz[ di + dk + ijk]\n#undef DXZDG_GXZ_IPKM \n#define DXZDG_GXZ_IPKM gxz[ di - dk + ijk]\n#undef DXZDG_GXZ_IMKP \n#define DXZDG_GXZ_IMKP gxz[-di + dk + ijk]\n#undef DXZDG_GXZ_IMKM \n#define DXZDG_GXZ_IMKM gxz[-di - dk + ijk]\n\n#undef DXZDG_GYY_IPKP \n#define DXZDG_GYY_IPKP gyy[ di + dk + ijk]\n#undef DXZDG_GYY_IPKM \n#define DXZDG_GYY_IPKM gyy[ di - dk + ijk]\n#undef DXZDG_GYY_IMKP \n#define DXZDG_GYY_IMKP gyy[-di + dk + ijk]\n#undef DXZDG_GYY_IMKM \n#define DXZDG_GYY_IMKM gyy[-di - dk + ijk]\n\n#undef DXZDG_GYZ_IPKP \n#define DXZDG_GYZ_IPKP gyz[ di + dk + ijk]\n#undef DXZDG_GYZ_IPKM \n#define DXZDG_GYZ_IPKM gyz[ di - dk + ijk]\n#undef DXZDG_GYZ_IMKP \n#define DXZDG_GYZ_IMKP gyz[-di + dk + ijk]\n#undef DXZDG_GYZ_IMKM \n#define DXZDG_GYZ_IMKM gyz[-di - dk + ijk]\n\n#undef DXZDG_GZZ_IPKP \n#define DXZDG_GZZ_IPKP gzz[ di + dk + ijk]\n#undef DXZDG_GZZ_IPKM \n#define DXZDG_GZZ_IPKM gzz[ di - dk + ijk]\n#undef DXZDG_GZZ_IMKP \n#define DXZDG_GZZ_IMKP gzz[-di + dk + ijk]\n#undef DXZDG_GZZ_IMKM \n#define DXZDG_GZZ_IMKM gzz[-di - dk + ijk]\n\n/* Output variables */\n#undef DXZDG_DXZDGXX\n#define DXZDG_DXZDGXX deldelg1311\n#undef DXZDG_DXZDGXY\n#define DXZDG_DXZDGXY deldelg1312\n#undef DXZDG_DXZDGXZ\n#define DXZDG_DXZDGXZ deldelg1313\n#undef DXZDG_DXZDGYY\n#define DXZDG_DXZDGYY deldelg1322\n#undef DXZDG_DXZDGYZ\n#define DXZDG_DXZDGYZ deldelg1323\n#undef DXZDG_DXZDGZZ\n#define DXZDG_DXZDGZZ deldelg1333\n\n/* Internal variables */\n#undef DXZDG_FAC \n#define DXZDG_FAC dxzdg_fac\n#undef DXZDG_OO4DXDZ\n#define DXZDG_OO4DXDZ dxzdg_oo4dxdz\n#undef DXZDG_DXZDPSI_O_PSI\n#define DXZDG_DXZDPSI_O_PSI 0.\n\n/* Declare internal variables */\nCCTK_REAL DXZDG_FAC;\nCCTK_REAL DXZDG_OO4DXDZ = 1/(4*cctkGH->cctk_delta_space[0]*cctkGH->cctk_delta_space[2]);\n\n/* Declare output variables */\nCCTK_REAL DXZDG_DXZDGXX;\nCCTK_REAL DXZDG_DXZDGXY;\nCCTK_REAL DXZDG_DXZDGXZ;\nCCTK_REAL DXZDG_DXZDGYY;\nCCTK_REAL DXZDG_DXZDGYZ;\nCCTK_REAL DXZDG_DXZDGZZ;\n\n#endif\n\n#endif\n", + "macro/DK_undefine.h": "/*@@\n @header DK_undefine.h\n @date Jul 98\n @author Gabrielle Allen\n @desc\n @enddesc\n@@*/\n\n#undef DK_GUTS\n\n#include \"DXDK_undefine.h\"\n#include \"DYDK_undefine.h\"\n#include \"DZDK_undefine.h\"\n\n", + "macro/DYDG_undefine.h": "/*@@\n @header DYDG_undefine.h\n @date Jul 98\n @author Gabrielle Allen\n @desc\n @enddesc\n@@*/\n\n#undef DYDG_GUTS\n\n#include \"DYDCG_undefine.h\"\n\n", + "macro/DB_undefine.h": "/*@@\n @header DB_undefine.h\n @date Jul 98\n @author Gabrielle Allen\n @desc\n @enddesc\n@@*/\n\n#undef DB_GUTS\n\n#include \"DXDB_undefine.h\"\n#include \"DYDB_undefine.h\"\n#include \"DZDB_undefine.h\"\n\n", + "macro/DETG_undefine.h": "/*@@\n @header DETG_undefine.h\n @date Nov 98\n @author Gabrielle Allen\n @desc\n @enddesc\n@@*/\n\n#undef DETG_DECLARE\n#undef DETG_GUTS\n", + "macro/LIEK_guts.h": "/*@@\n @header LIEK_guts.h\n @date Jul 2000\n @author Gabrielle Allen + Miguel Alcubierre\n @desc\n\n Macro to calculate the Lie derivative of the lower \n extrinsic curvature along the shift vector. Notice\n that the advection term can be calculated in several\n different ways.\n\n IMPORTANT: THE C VERSION ONLY HAS CENTERED DIFFERENCES!\n\n @enddesc\n@@*/\n\n#ifndef LIEK_GUTS\n#define LIEK_GUTS\n\n#include \"DB_guts.h\"\n#include \"DK_guts.h\"\n\n#ifdef FCODE\n\n#include \"ADM_Derivative.h\"\n\n/* Advection. */\n\n LIEK_LKXX = 0.0D0\n LIEK_LKYY = 0.0D0\n LIEK_LKZZ = 0.0D0\n LIEK_LKXY = 0.0D0\n LIEK_LKXZ = 0.0D0\n LIEK_LKYZ = 0.0D0\n\n if (admmacros_advectionx .eq. 0) then /* CENTER X */\n \n LIEK_LKXX = LIEK_LKXX + DXDK_DXDKXX*LIEK_BX\n LIEK_LKYY = LIEK_LKYY + DXDK_DXDKYY*LIEK_BX\n LIEK_LKZZ = LIEK_LKZZ + DXDK_DXDKZZ*LIEK_BX\n LIEK_LKXY = LIEK_LKXY + DXDK_DXDKXY*LIEK_BX\n LIEK_LKXZ = LIEK_LKXZ + DXDK_DXDKXZ*LIEK_BX\n LIEK_LKYZ = LIEK_LKYZ + DXDK_DXDKYZ*LIEK_BX\n\n else if (admmacros_advectionx .eq. 1) then /* UPWIND1 X */\n\n LIEK_LKXX = LIEK_LKXX + ADM_ADV_DX_P1(kxx,i,j,k)\n LIEK_LKYY = LIEK_LKYY + ADM_ADV_DX_P1(kyy,i,j,k)\n LIEK_LKZZ = LIEK_LKZZ + ADM_ADV_DX_P1(kzz,i,j,k)\n LIEK_LKXY = LIEK_LKXY + ADM_ADV_DX_P1(kxy,i,j,k)\n LIEK_LKXZ = LIEK_LKXZ + ADM_ADV_DX_P1(kxz,i,j,k)\n LIEK_LKYZ = LIEK_LKYZ + ADM_ADV_DX_P1(kyz,i,j,k)\n\n else if (admmacros_advectionx .eq. -1) then /* UPWIND1 X */\n\n LIEK_LKXX = LIEK_LKXX + ADM_ADV_DX_M1(kxx,i,j,k)\n LIEK_LKYY = LIEK_LKYY + ADM_ADV_DX_M1(kyy,i,j,k)\n LIEK_LKZZ = LIEK_LKZZ + ADM_ADV_DX_M1(kzz,i,j,k)\n LIEK_LKXY = LIEK_LKXY + ADM_ADV_DX_M1(kxy,i,j,k)\n LIEK_LKXZ = LIEK_LKXZ + ADM_ADV_DX_M1(kxz,i,j,k)\n LIEK_LKYZ = LIEK_LKYZ + ADM_ADV_DX_M1(kyz,i,j,k)\n\n else if (admmacros_advectionx .eq. 2) then /* UPWIND2 X */\n\n LIEK_LKXX = LIEK_LKXX + ADM_ADV_DX_P2(kxx,i,j,k)\n LIEK_LKYY = LIEK_LKYY + ADM_ADV_DX_P2(kyy,i,j,k)\n LIEK_LKZZ = LIEK_LKZZ + ADM_ADV_DX_P2(kzz,i,j,k)\n LIEK_LKXY = LIEK_LKXY + ADM_ADV_DX_P2(kxy,i,j,k)\n LIEK_LKXZ = LIEK_LKXZ + ADM_ADV_DX_P2(kxz,i,j,k)\n LIEK_LKYZ = LIEK_LKYZ + ADM_ADV_DX_P2(kyz,i,j,k)\n\n else if (admmacros_advectionx .eq. -2) then /* UPWIND2 X */\n\n LIEK_LKXX = LIEK_LKXX + ADM_ADV_DX_M2(kxx,i,j,k)\n LIEK_LKYY = LIEK_LKYY + ADM_ADV_DX_M2(kyy,i,j,k)\n LIEK_LKZZ = LIEK_LKZZ + ADM_ADV_DX_M2(kzz,i,j,k)\n LIEK_LKXY = LIEK_LKXY + ADM_ADV_DX_M2(kxy,i,j,k)\n LIEK_LKXZ = LIEK_LKXZ + ADM_ADV_DX_M2(kxz,i,j,k)\n LIEK_LKYZ = LIEK_LKYZ + ADM_ADV_DX_M2(kyz,i,j,k)\n\n end if\n\n\n if (admmacros_advectiony .eq. 0) then /* CENTER Y */\n\n LIEK_LKXX = LIEK_LKXX + DYDK_DYDKXX*LIEK_BY\n LIEK_LKYY = LIEK_LKYY + DYDK_DYDKYY*LIEK_BY\n LIEK_LKZZ = LIEK_LKZZ + DYDK_DYDKZZ*LIEK_BY\n LIEK_LKXY = LIEK_LKXY + DYDK_DYDKXY*LIEK_BY\n LIEK_LKXZ = LIEK_LKXZ + DYDK_DYDKXZ*LIEK_BY\n LIEK_LKYZ = LIEK_LKYZ + DYDK_DYDKYZ*LIEK_BY\n\n else if (admmacros_advectiony .eq. 1) then /* UPWIND1 Y */\n\n LIEK_LKXX = LIEK_LKXX + ADM_ADV_DY_P1(kxx,i,j,k)\n LIEK_LKYY = LIEK_LKYY + ADM_ADV_DY_P1(kyy,i,j,k)\n LIEK_LKZZ = LIEK_LKZZ + ADM_ADV_DY_P1(kzz,i,j,k)\n LIEK_LKXY = LIEK_LKXY + ADM_ADV_DY_P1(kxy,i,j,k)\n LIEK_LKXZ = LIEK_LKXZ + ADM_ADV_DY_P1(kxz,i,j,k)\n LIEK_LKYZ = LIEK_LKYZ + ADM_ADV_DY_P1(kyz,i,j,k)\n\n else if (admmacros_advectiony .eq. -1) then /* UPWIND1 Y */\n\n LIEK_LKXX = LIEK_LKXX + ADM_ADV_DY_M1(kxx,i,j,k)\n LIEK_LKYY = LIEK_LKYY + ADM_ADV_DY_M1(kyy,i,j,k)\n LIEK_LKZZ = LIEK_LKZZ + ADM_ADV_DY_M1(kzz,i,j,k)\n LIEK_LKXY = LIEK_LKXY + ADM_ADV_DY_M1(kxy,i,j,k)\n LIEK_LKXZ = LIEK_LKXZ + ADM_ADV_DY_M1(kxz,i,j,k)\n LIEK_LKYZ = LIEK_LKYZ + ADM_ADV_DY_M1(kyz,i,j,k)\n\n else if (admmacros_advectiony .eq. 2) then /* UPWIND2 Y */\n\n LIEK_LKXX = LIEK_LKXX + ADM_ADV_DY_P2(kxx,i,j,k)\n LIEK_LKYY = LIEK_LKYY + ADM_ADV_DY_P2(kyy,i,j,k)\n LIEK_LKZZ = LIEK_LKZZ + ADM_ADV_DY_P2(kzz,i,j,k)\n LIEK_LKXY = LIEK_LKXY + ADM_ADV_DY_P2(kxy,i,j,k)\n LIEK_LKXZ = LIEK_LKXZ + ADM_ADV_DY_P2(kxz,i,j,k)\n LIEK_LKYZ = LIEK_LKYZ + ADM_ADV_DY_P2(kyz,i,j,k)\n\n else if (admmacros_advectiony .eq. -2) then /* UPWIND2 Y */\n\n LIEK_LKXX = LIEK_LKXX + ADM_ADV_DY_M2(kxx,i,j,k)\n LIEK_LKYY = LIEK_LKYY + ADM_ADV_DY_M2(kyy,i,j,k)\n LIEK_LKZZ = LIEK_LKZZ + ADM_ADV_DY_M2(kzz,i,j,k)\n LIEK_LKXY = LIEK_LKXY + ADM_ADV_DY_M2(kxy,i,j,k)\n LIEK_LKXZ = LIEK_LKXZ + ADM_ADV_DY_M2(kxz,i,j,k)\n LIEK_LKYZ = LIEK_LKYZ + ADM_ADV_DY_M2(kyz,i,j,k)\n\n end if\n\n\n if (admmacros_advectionz .eq. 0) then /* CENTER Z */\n\n LIEK_LKXX = LIEK_LKXX + DZDK_DZDKXX*LIEK_BZ\n LIEK_LKYY = LIEK_LKYY + DZDK_DZDKYY*LIEK_BZ\n LIEK_LKZZ = LIEK_LKZZ + DZDK_DZDKZZ*LIEK_BZ\n LIEK_LKXY = LIEK_LKXY + DZDK_DZDKXY*LIEK_BZ\n LIEK_LKXZ = LIEK_LKXZ + DZDK_DZDKXZ*LIEK_BZ\n LIEK_LKYZ = LIEK_LKYZ + DZDK_DZDKYZ*LIEK_BZ\n\n else if (admmacros_advectionz .eq. 1) then /* UPWIND1 Z */\n\n LIEK_LKXX = LIEK_LKXX + ADM_ADV_DY_P1(kxx,i,j,k)\n LIEK_LKYY = LIEK_LKYY + ADM_ADV_DY_P1(kyy,i,j,k)\n LIEK_LKZZ = LIEK_LKZZ + ADM_ADV_DY_P1(kzz,i,j,k)\n LIEK_LKXY = LIEK_LKXY + ADM_ADV_DY_P1(kxy,i,j,k)\n LIEK_LKXZ = LIEK_LKXZ + ADM_ADV_DY_P1(kxz,i,j,k)\n LIEK_LKYZ = LIEK_LKYZ + ADM_ADV_DY_P1(kyz,i,j,k)\n\n else if (admmacros_advectionz .eq. -1) then /* UPWIND1 Z */\n\n LIEK_LKXX = LIEK_LKXX + ADM_ADV_DY_M1(kxx,i,j,k)\n LIEK_LKYY = LIEK_LKYY + ADM_ADV_DY_M1(kyy,i,j,k)\n LIEK_LKZZ = LIEK_LKZZ + ADM_ADV_DY_M1(kzz,i,j,k)\n LIEK_LKXY = LIEK_LKXY + ADM_ADV_DY_M1(kxy,i,j,k)\n LIEK_LKXZ = LIEK_LKXZ + ADM_ADV_DY_M1(kxz,i,j,k)\n LIEK_LKYZ = LIEK_LKYZ + ADM_ADV_DY_M1(kyz,i,j,k)\n\n else if (admmacros_advectionz .eq. 2) then /* UPWIND2 Z */\n\n LIEK_LKXX = LIEK_LKXX + ADM_ADV_DY_P2(kxx,i,j,k)\n LIEK_LKYY = LIEK_LKYY + ADM_ADV_DY_P2(kyy,i,j,k)\n LIEK_LKZZ = LIEK_LKZZ + ADM_ADV_DY_P2(kzz,i,j,k)\n LIEK_LKXY = LIEK_LKXY + ADM_ADV_DY_P2(kxy,i,j,k)\n LIEK_LKXZ = LIEK_LKXZ + ADM_ADV_DY_P2(kxz,i,j,k)\n LIEK_LKYZ = LIEK_LKYZ + ADM_ADV_DY_P2(kyz,i,j,k)\n\n else if (admmacros_advectionz .eq. -2) then /* UPWIND2 Z */\n\n LIEK_LKXX = LIEK_LKXX + ADM_ADV_DY_M2(kxx,i,j,k)\n LIEK_LKYY = LIEK_LKYY + ADM_ADV_DY_M2(kyy,i,j,k)\n LIEK_LKZZ = LIEK_LKZZ + ADM_ADV_DY_M2(kzz,i,j,k)\n LIEK_LKXY = LIEK_LKXY + ADM_ADV_DY_M2(kxy,i,j,k)\n LIEK_LKXZ = LIEK_LKXZ + ADM_ADV_DY_M2(kxz,i,j,k)\n LIEK_LKYZ = LIEK_LKYZ + ADM_ADV_DY_M2(kyz,i,j,k)\n\n end if\n\n /* Extra terms in the Lie derivative. */\n\n LIEK_LKXX = LIEK_LKXX + 2.0D0*(DXDB_DXDBX*LIEK_KXX \\\n + DXDB_DXDBY*LIEK_KXY + DXDB_DXDBZ*LIEK_KXZ)\n\n LIEK_LKYY = LIEK_LKYY + 2.0D0*(DYDB_DYDBX*LIEK_KXY \\\n + DYDB_DYDBY*LIEK_KYY + DYDB_DYDBZ*LIEK_KYZ)\n\n LIEK_LKZZ = LIEK_LKZZ + 2.0D0*(DZDB_DZDBX*LIEK_KXZ \\\n + DZDB_DZDBY*LIEK_KYZ + DZDB_DZDBZ*LIEK_KZZ)\n\n LIEK_LKXY = LIEK_LKXY + DYDB_DYDBX*LIEK_KXX + DXDB_DXDBY*LIEK_KYY \\\n + (DXDB_DXDBX + DYDB_DYDBY)*LIEK_KXY \\\n + DYDB_DYDBZ*LIEK_KXZ + DXDB_DXDBZ*LIEK_KYZ\n\n LIEK_LKXZ = LIEK_LKXZ + DZDB_DZDBX*LIEK_KXX + DXDB_DXDBZ*LIEK_KZZ \\\n + (DXDB_DXDBX + DZDB_DZDBZ)*LIEK_KXZ \\\n + DZDB_DZDBY*LIEK_KXY + DXDB_DXDBY*LIEK_KYZ\n\n LIEK_LKYZ = LIEK_LKYZ + DZDB_DZDBY*LIEK_KYY + DYDB_DYDBZ*LIEK_KZZ \\\n + (DYDB_DYDBY + DZDB_DZDBZ)*LIEK_KYZ \\\n + DZDB_DZDBX*LIEK_KXY + DYDB_DYDBX*LIEK_KXZ\n\n\n#endif\n\n#ifdef CCODE\n\n/* Advection */\n\n LIEK_LKXX = DXDK_DXDKXX*LIEK_BX + DYDK_DYDKXX*LIEK_BY\n + DZDK_DZDKXX*LIEK_BZ;\n\n LIEK_LKYY = DXDK_DXDKYY*LIEK_BX + DYDK_DYDKYY*LIEK_BY\n + DZDK_DZDKYY*LIEK_BZ;\n\n LIEK_LKZZ = DXDK_DXDKZZ*LIEK_BX + DYDK_DYDKZZ*LIEK_BY\n + DZDK_DZDKZZ*LIEK_BZ;\n\n LIEK_LKXY = DXDK_DXDKXY*LIEK_BX + DYDK_DYDKXY*LIEK_BY\n + DZDK_DZDKXY*LIEK_BZ;\n\n LIEK_LKXZ = DXDK_DXDKXZ*LIEK_BX + DYDK_DYDKXZ*LIEK_BY\n + DZDK_DZDKXZ*LIEK_BZ;\n\n LIEK_LKYZ = DXDK_DXDKYZ*LIEK_BX + DYDK_DYDKYZ*LIEK_BY\n + DZDK_DZDKYZ*LIEK_BZ;\n\n/* Extra terms in the Lie derivative */\n\n LIEK_LKXX = LIEK_LKXX + 2*(DXDB_DXDBX*LIEK_KXX\n + DXDB_DXDBY*LIEK_KXY + DXDB_DXDBZ*LIEK_KXZ);\n\n LIEK_LKYY = LIEK_LKYY + 2*(DYDB_DYDBX*LIEK_KXY\n + DYDB_DYDBY*LIEK_KYY + DYDB_DYDBZ*LIEK_KYZ);\n\n LIEK_LKZZ = LIEK_LKZZ + 2*(DZDB_DZDBX*LIEK_KXZ\n + DZDB_DZDBY*LIEK_KYZ + DZDB_DZDBZ*LIEK_KZZ);\n\n LIEK_LKXY = LIEK_LKXY + DYDB_DYDBX*LIEK_KXX + DXDB_DXDBY*LIEK_KYY\n + (DXDB_DXDBX + DYDB_DYDBY)*LIEK_KXY\n + DYDB_DYDBZ*LIEK_KXZ + DXDB_DXDBZ*LIEK_KYZ;\n\n LIEK_LKXZ = LIEK_LKXZ + DZDB_DZDBX*LIEK_KXX + DXDB_DXDBZ*LIEK_KZZ\n + (DXDB_DXDBX + DZDB_DZDBZ)*LIEK_KXZ\n + DZDB_DZDBY*LIEK_KXY + DXDB_DXDBY*LIEK_KYZ;\n\n LIEK_LKYZ = LIEK_LKYZ + DZDB_DZDBY*LIEK_KYY + DYDB_DYDBZ*LIEK_KZZ\n + (DYDB_DYDBY + DZDB_DZDBZ)*LIEK_KYZ\n + DZDB_DZDBX*LIEK_KXY + DYDB_DYDBX*LIEK_KXZ;\n\n#endif\n\n#endif\n", + "macro/CDYCDK_undefine.h": "/*@@\n @header CDYCDK_undefine.h\n @date Aug 98\n @author Gabrielle Allen\n @desc\n @enddesc\n@@*/\n\n#undef CDYCDK_GUTS\n\n#include \"DYDK_undefine.h\"\n#include \"CHR2_undefine.h\"\n\n", + "macro/MOMYADM_declare.h": "/*@@\n @header MOMYADM_declare.h\n @date Aug 98\n @author Gabrielle Allen\n @desc\n Declarations for macro to calculate vacuum part of \n y-Momentum constraint\n \n @enddesc\n@@*/\n\n#ifndef MOMYADM_DECLARE\n#define MOMYADM_DECLARE\n\n#include \"UPPERMET_declare.h\"\n#include \"CDK_declare.h\"\n\n#ifdef FCODE\n\n/* Output variables */ \n#undef MOMYADM_MOMYADM\n#define MOMYADM_MOMYADM momyadm_momyadm\n\n/* Declare output variables */\n CCTK_REAL MOMYADM_MOMYADM\n\n#endif\n\n\n#ifdef CCODE\n\n/* Output variables */\n#undef MOMYADM_MOMYADM\n#define MOMYADM_MOMYADM momyadm_momyadm\n\n/* Declare output variables */\n CCTK_REAL MOMYADM_MOMYADM;\n\n#endif\n\n#endif\n", + "macro/DXDB_guts.h": "/*@@\n @header DXDB_guts.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n\n Macro to calculate the first derivatives of the \n shift with respect to x\n\n The macro is defined in terms of standard variables in\n @seefile DXDB_declare.h\n @enddesc\n@@*/\n\n#ifndef DXDB_GUTS\n#define DXDB_GUTS\n\n#ifdef FCODE \n\n#include \"ADM_Derivative.h\"\n\n if (local_spatial_order.eq.2) then\n DXDB_DXDBX = ADM_DX_2(betax,i,j,k)\n DXDB_DXDBY = ADM_DX_2(betay,i,j,k)\n DXDB_DXDBZ = ADM_DX_2(betaz,i,j,k)\n else\n DXDB_DXDBX = ADM_DX_4(betax,i,j,k)\n DXDB_DXDBY = ADM_DX_4(betay,i,j,k)\n DXDB_DXDBZ = ADM_DX_4(betaz,i,j,k)\n end if\n\n#endif\n\n#ifdef CCODE\n\n DXDB_OO2DX = 1/(2*cctkGH->cctk_delta_space[0]);\n \n DXDB_DXDBX = DXDB_OO2DX*(DXDB_BX_IP - DXDB_BX_IM);\n DXDB_DXDBY = DXDB_OO2DX*(DXDB_BY_IP - DXDB_BY_IM);\n DXDB_DXDBZ = DXDB_OO2DX*(DXDB_BZ_IP - DXDB_BZ_IM);\n\n#endif\n\n#endif\n\n", + "macro/DXXDG_guts.h": "/*@@\n @header DXXDG_guts.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n Macro to calculate the (first and) second derivatives of the \n physical metric with respect to x\n\n The macro is defined in terms of standard variables in\n @seefile DXXDG_declare.h\n\n The macro uses @seefile DXDG_guts.h and @seefile DXDG_declare.h\n @enddesc\n@@*/\n\n#ifndef DXXDG_GUTS\n#define DXXDG_GUTS\n\n#include \"DXDG_guts.h\"\n\n#ifdef FCODE \n\n#include \"ADM_Derivative.h\"\n\n /* Factor involving 2nd derivative of conformal factor, nowadays zero */ \n DXXDG_FAC = 0\n \n /* Now calculate the second derivatives */\n\n if (local_spatial_order.eq.2) then\n DXXDG_DXXDGXX = 2*DXDCG_DXDCGXX*DXDG_FAC + DXXDG_FAC*DXDG_GXX \\\n + DXDG_PSI4*ADM_DXX_2(gxx,i,j,k)\n\n DXXDG_DXXDGXY = 2*DXDCG_DXDCGXY*DXDG_FAC + DXXDG_FAC*DXDG_GXY \\\n + DXDG_PSI4*ADM_DXX_2(gxy,i,j,k)\n\n DXXDG_DXXDGXZ = 2*DXDCG_DXDCGXZ*DXDG_FAC + DXXDG_FAC*DXDG_GXZ \\\n + DXDG_PSI4*ADM_DXX_2(gxz,i,j,k)\n\n DXXDG_DXXDGYY = 2*DXDCG_DXDCGYY*DXDG_FAC + DXXDG_FAC*DXDG_GYY \\\n + DXDG_PSI4*ADM_DXX_2(gyy,i,j,k)\n\n DXXDG_DXXDGYZ = 2*DXDCG_DXDCGYZ*DXDG_FAC + DXXDG_FAC*DXDG_GYZ \\\n + DXDG_PSI4*ADM_DXX_2(gyz,i,j,k)\n\n DXXDG_DXXDGZZ = 2*DXDCG_DXDCGZZ*DXDG_FAC + DXXDG_FAC*DXDG_GZZ \\\n + DXDG_PSI4*ADM_DXX_2(gzz,i,j,k)\n else\n DXXDG_DXXDGXX = 2*DXDCG_DXDCGXX*DXDG_FAC + DXXDG_FAC*DXDG_GXX \\\n + DXDG_PSI4*ADM_DXX_4(gxx,i,j,k)\n\n DXXDG_DXXDGXY = 2*DXDCG_DXDCGXY*DXDG_FAC + DXXDG_FAC*DXDG_GXY \\\n + DXDG_PSI4*ADM_DXX_4(gxy,i,j,k)\n\n DXXDG_DXXDGXZ = 2*DXDCG_DXDCGXZ*DXDG_FAC + DXXDG_FAC*DXDG_GXZ \\\n + DXDG_PSI4*ADM_DXX_4(gxz,i,j,k)\n\n DXXDG_DXXDGYY = 2*DXDCG_DXDCGYY*DXDG_FAC + DXXDG_FAC*DXDG_GYY \\\n + DXDG_PSI4*ADM_DXX_4(gyy,i,j,k)\n\n DXXDG_DXXDGYZ = 2*DXDCG_DXDCGYZ*DXDG_FAC + DXXDG_FAC*DXDG_GYZ \\\n + DXDG_PSI4*ADM_DXX_4(gyz,i,j,k)\n\n DXXDG_DXXDGZZ = 2*DXDCG_DXDCGZZ*DXDG_FAC + DXXDG_FAC*DXDG_GZZ \\\n + DXDG_PSI4*ADM_DXX_4(gzz,i,j,k)\n end if\n\n#endif\n\n#ifdef CCODE\n\n/* Factor involving 2nd derivative of conformal factor, nowadays zero */ \nDXXDG_FAC = 0;\n\n/* Now calculate the second derivatives */\n DXXDG_DXXDGXX = 2*DXDCG_DXDCGXX*DXDG_FAC+DXXDG_FAC*DXDG_GXX+DXDG_PSI4\n *DXXDG_OODX2*(DXDCG_GXX_IP-2*DXDG_GXX+DXDCG_GXX_IM);\n\n DXXDG_DXXDGXY = 2*DXDCG_DXDCGXY*DXDG_FAC+DXXDG_FAC*DXDG_GXY+DXDG_PSI4\n *DXXDG_OODX2*(DXDCG_GXY_IP-2*DXDG_GXY+DXDCG_GXY_IM);\n\n DXXDG_DXXDGXZ = 2*DXDCG_DXDCGXZ*DXDG_FAC+DXXDG_FAC*DXDG_GXZ+DXDG_PSI4\n *DXXDG_OODX2*(DXDCG_GXZ_IP-2*DXDG_GXZ+DXDCG_GXZ_IM);\n\n DXXDG_DXXDGYY = 2*DXDCG_DXDCGYY*DXDG_FAC+DXXDG_FAC*DXDG_GYY+DXDG_PSI4\n *DXXDG_OODX2*(DXDCG_GYY_IP-2*DXDG_GYY+DXDCG_GYY_IM);\n\n DXXDG_DXXDGYZ = 2*DXDCG_DXDCGYZ*DXDG_FAC+DXXDG_FAC*DXDG_GYZ+DXDG_PSI4\n *DXXDG_OODX2*(DXDCG_GYZ_IP-2*DXDG_GYZ+DXDCG_GYZ_IM);\n\n DXXDG_DXXDGZZ = 2*DXDCG_DXDCGZZ*DXDG_FAC+DXXDG_FAC*DXDG_GZZ+DXDG_PSI4\n *DXXDG_OODX2*(DXDCG_GZZ_IP-2*DXDG_GZZ+DXDCG_GZZ_IM);\n \n\n#endif\n\n#endif\n", + "macro/KK_guts.h": "/*@@\n @header KK_guts.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n\n Macro to calculate term K_{ik}K^{k}_{l}\n\n The macro is defined in terms of standard variables in\n KK_declare.h\n\n Requires: Upper physical metric\n Lower extrinsic curvature\n\n Provides: Components of K_{ik}K^{k}_{l}\n\n @enddesc\n@@*/\n\n#ifndef KK_GUTS\n#define KK_GUTS\n\n#include \"UPPERMET_guts.h\"\n\n#ifdef FCODE\n\n KK_KKXX = 2*(UPPERMET_UYZ*KK_HXY*KK_HXZ + KK_HXX*(UPPERMET_UXY*KK_HXY + \\\n UPPERMET_UXZ*KK_HXZ)) + UPPERMET_UXX*KK_HXX*KK_HXX + \\\n UPPERMET_UYY*KK_HXY*KK_HXY + UPPERMET_UZZ*KK_HXZ*KK_HXZ\n\n KK_KKXY = KK_HXY*(UPPERMET_UXX*KK_HXX + UPPERMET_UYY*KK_HYY) + \\\n UPPERMET_UZZ*KK_HXZ*KK_HYZ + UPPERMET_UXZ*(KK_HXY*KK_HXZ + \\\n KK_HXX*KK_HYZ) + UPPERMET_UYZ*(KK_HXZ*KK_HYY + KK_HXY*KK_HYZ) + \\\n UPPERMET_UXY*(KK_HXX*KK_HYY + KK_HXY*KK_HXY) \n\n KK_KKXZ = UPPERMET_UYY*KK_HXY*KK_HYZ + UPPERMET_UXY*(KK_HXY*KK_HXZ + \\\n KK_HXX*KK_HYZ) + KK_HXZ*(UPPERMET_UXX*KK_HXX + UPPERMET_UZZ*KK_HZZ) + \\\n UPPERMET_UYZ*(KK_HXZ*KK_HYZ + KK_HXY*KK_HZZ) + \\\n UPPERMET_UXZ*(KK_HXX*KK_HZZ + KK_HXZ*KK_HXZ) \n\n KK_KKYY = 2*(UPPERMET_UYZ*KK_HYY*KK_HYZ + KK_HXY*(UPPERMET_UXY*KK_HYY + \\\n UPPERMET_UXZ*KK_HYZ)) + UPPERMET_UXX*KK_HXY*KK_HXY + \\\n UPPERMET_UYY*KK_HYY*KK_HYY + UPPERMET_UZZ*KK_HYZ*KK_HYZ ;\n\n KK_KKYZ = UPPERMET_UXX*KK_HXY*KK_HXZ + UPPERMET_UXY*(KK_HXZ*KK_HYY + \\\n KK_HXY*KK_HYZ) + KK_HYZ*(UPPERMET_UYY*KK_HYY + UPPERMET_UZZ*KK_HZZ) + \\\n UPPERMET_UXZ*(KK_HXZ*KK_HYZ + KK_HXY*KK_HZZ) + \\\n UPPERMET_UYZ*(KK_HYY*KK_HZZ + KK_HYZ*KK_HYZ) \n\n KK_KKZZ = 2*(UPPERMET_UYZ*KK_HYZ*KK_HZZ + KK_HXZ*(UPPERMET_UXY*KK_HYZ + \\\n UPPERMET_UXZ*KK_HZZ)) + UPPERMET_UXX*KK_HXZ*KK_HXZ + \\\n UPPERMET_UYY*KK_HYZ*KK_HYZ + UPPERMET_UZZ*KK_HZZ*KK_HZZ \n\n#endif\n\n#ifdef CCODE\n\nKK_KKXX = 2*(UPPERMET_UYZ*KK_HXY*KK_HXZ + KK_HXX*(UPPERMET_UXY*KK_HXY +\nUPPERMET_UXZ*KK_HXZ)) + UPPERMET_UXX*KK_HXX*KK_HXX +\nUPPERMET_UYY*KK_HXY*KK_HXY + UPPERMET_UZZ*KK_HXZ*KK_HXZ;\n\nKK_KKXY = KK_HXY*(UPPERMET_UXX*KK_HXX + UPPERMET_UYY*KK_HYY) +\nUPPERMET_UZZ*KK_HXZ*KK_HYZ + UPPERMET_UXZ*(KK_HXY*KK_HXZ +\nKK_HXX*KK_HYZ) + UPPERMET_UYZ*(KK_HXZ*KK_HYY + KK_HXY*KK_HYZ) +\nUPPERMET_UXY*(KK_HXX*KK_HYY + KK_HXY*KK_HXY) ;\n\nKK_KKXZ = UPPERMET_UYY*KK_HXY*KK_HYZ + UPPERMET_UXY*(KK_HXY*KK_HXZ +\nKK_HXX*KK_HYZ) + KK_HXZ*(UPPERMET_UXX*KK_HXX + UPPERMET_UZZ*KK_HZZ) +\nUPPERMET_UYZ*(KK_HXZ*KK_HYZ + KK_HXY*KK_HZZ) +\nUPPERMET_UXZ*(KK_HXX*KK_HZZ + KK_HXZ*KK_HXZ) ;\n\nKK_KKYY = 2*(UPPERMET_UYZ*KK_HYY*KK_HYZ + KK_HXY*(UPPERMET_UXY*KK_HYY +\nUPPERMET_UXZ*KK_HYZ)) + UPPERMET_UXX*KK_HXY*KK_HXY +\nUPPERMET_UYY*KK_HYY*KK_HYY + UPPERMET_UZZ*KK_HYZ*KK_HYZ ;\n\nKK_KKYZ = UPPERMET_UXX*KK_HXY*KK_HXZ + UPPERMET_UXY*(KK_HXZ*KK_HYY +\nKK_HXY*KK_HYZ) + KK_HYZ*(UPPERMET_UYY*KK_HYY + UPPERMET_UZZ*KK_HZZ) +\nUPPERMET_UXZ*(KK_HXZ*KK_HYZ + KK_HXY*KK_HZZ) +\nUPPERMET_UYZ*(KK_HYY*KK_HZZ + KK_HYZ*KK_HYZ) ;\n\nKK_KKZZ = 2*(UPPERMET_UYZ*KK_HYZ*KK_HZZ + KK_HXZ*(UPPERMET_UXY*KK_HYZ +\nUPPERMET_UXZ*KK_HZZ)) + UPPERMET_UXX*KK_HXZ*KK_HXZ +\nUPPERMET_UYY*KK_HYZ*KK_HYZ + UPPERMET_UZZ*KK_HZZ*KK_HZZ ;\n\n#endif\n\n#endif\n \n", + "macro/DKDT_declare.h": "/*@@\n @header DKDT_declare.h\n @date Jul 98\n @author Gabrielle Allen\n @desc\n Declarations for macro @seefile DKDT_guts.h to calculate the source term \n in the evolution equation for the extrinsic curvature. That is\n\n d K_ij/dt = alpha*(R_ij-2 K_ik K^k_j + K_ij trK] - nabla_i nabla_j alpha\n\n + Lie_beta K_ij\n \n @enddesc\n@@*/\n\n#ifndef DKDT_DECLARE\n#define DKDT_DECLARE\n\n#include \"RICCI_declare.h\"\n#include \"KK_declare.h\"\n#include \"TRK_declare.h\"\n#include \"CDCDA_declare.h\"\n#include \"LIEK_declare.h\"\n\n\n#ifdef FCODE\n\n/* Input variables */\n#undef DKDT_A\n#define DKDT_A alp(i,j,k)\n#undef DKDT_KXX \n#define DKDT_KXX kxx(i,j,k)\n#undef DKDT_KXY \n#define DKDT_KXY kxy(i,j,k)\n#undef DKDT_KXZ \n#define DKDT_KXZ kxz(i,j,k)\n#undef DKDT_KYY \n#define DKDT_KYY kyy(i,j,k)\n#undef DKDT_KYZ \n#define DKDT_KYZ kyz(i,j,k)\n#undef DKDT_KZZ \n#define DKDT_KZZ kzz(i,j,k)\n\n/* Output variables */ \n#undef DKDT_DKXXDT\n#define DKDT_DKXXDT dkdt_dkxxdt\n#undef DKDT_DKXYDT\n#define DKDT_DKXYDT dkdt_dkxydt\n#undef DKDT_DKXZDT\n#define DKDT_DKXZDT dkdt_dkxzdt\n#undef DKDT_DKYYDT\n#define DKDT_DKYYDT dkdt_dkyydt\n#undef DKDT_DKYZDT\n#define DKDT_DKYZDT dkdt_dkyzdt\n#undef DKDT_DKZZDT\n#define DKDT_DKZZDT dkdt_dkzzdt\n\n/* Declare output variables */\n CCTK_REAL DKDT_DKXXDT\n CCTK_REAL DKDT_DKXYDT\n CCTK_REAL DKDT_DKXZDT\n CCTK_REAL DKDT_DKYYDT\n CCTK_REAL DKDT_DKYZDT\n CCTK_REAL DKDT_DKZZDT\n\n#endif\n\n\n#ifdef CCODE\n\n/* Input variables */\n#undef DKDT_A\n#define DKDT_A alp[ijk]\n#undef DKDT_KXX \n#define DKDT_KXX kxx[ijk]\n#undef DKDT_KXY \n#define DKDT_KXY kxy[ijk]\n#undef DKDT_KXZ \n#define DKDT_KXZ kxz[ijk]\n#undef DKDT_KYY \n#define DKDT_KYY kyy[ijk]\n#undef DKDT_KYZ \n#define DKDT_KYZ kyz[ijk]\n#undef DKDT_KZZ \n#define DKDT_KZZ kzz[ijk]\n\n/* Output variables */ \n#undef DKDT_DKXXDT\n#define DKDT_DKXXDT dkdt_dkxxdt\n#undef DKDT_DKXYDT\n#define DKDT_DKXYDT dkdt_dkxydt\n#undef DKDT_DKXZDT\n#define DKDT_DKXZDT dkdt_dkxzdt\n#undef DKDT_DKYYDT\n#define DKDT_DKYYDT dkdt_dkyydt\n#undef DKDT_DKYZDT\n#define DKDT_DKYZDT dkdt_dkyzdt\n#undef DKDT_DKZZDT\n#define DKDT_DKZZDT dkdt_dkzzdt\n\n/* Declare output variables */\n CCTK_REAL DKDT_DKXXDT;\n CCTK_REAL DKDT_DKXYDT;\n CCTK_REAL DKDT_DKXZDT;\n CCTK_REAL DKDT_DKYYDT;\n CCTK_REAL DKDT_DKYZDT;\n CCTK_REAL DKDT_DKZZDT;\n\n#endif\n\n#endif\n", + "macro/MOMZADM_guts.h": "/*@@\n @header MOMZADM_guts.h\n @date Aug 98\n @author Gabrielle Allen\n @desc\n Macro to calculate the spacetime part of the \n z-Momentum Constraint. That is:\n\n Del_j K_z^j - Del_z trK \n\n @enddesc\n@@*/\n\n#ifndef MOMZADM_GUTS\n#define MOMZADM_GUTS\n\n#include \"UPPERMET_guts.h\"\n#include \"CDK_guts.h\"\n\n#ifdef FCODE \n\n MOMZADM_MOMZADM = (CDXCDK_CDXCDKXZ - CDZCDK_CDZCDKXX)*UPPERMET_UXX + \\\n (CDXCDK_CDXCDKYZ + CDYCDK_CDYCDKXZ - 2*CDZCDK_CDZCDKXY)*UPPERMET_UXY + \\\n (CDXCDK_CDXCDKZZ - CDZCDK_CDZCDKXZ)*UPPERMET_UXZ + (CDYCDK_CDYCDKYZ - \\\n CDZCDK_CDZCDKYY)*UPPERMET_UYY + (CDYCDK_CDYCDKZZ - CDZCDK_CDZCDKYZ)*UPPERMET_UYZ\n\n#endif\n\n#ifdef CCODE\n\n MOMZADM_MOMZADM = (CDXCDK_CDXCDKXZ - CDZCDK_CDZCDKXX)*UPPERMET_UXX + \n (CDXCDK_CDXCDKYZ + CDYCDK_CDYCDKXZ - 2*CDZCDK_CDZCDKXY)*UPPERMET_UXY + \n (CDXCDK_CDXCDKZZ - CDZCDK_CDZCDKXZ)*UPPERMET_UXZ + (CDYCDK_CDYCDKYZ - \n CDZCDK_CDZCDKYY)*UPPERMET_UYY + (CDYCDK_CDYCDKZZ - CDZCDK_CDZCDKYZ)*UPPERMET_UYZ;\n\n#endif\n\n#endif\n\n", + "macro/WAVEG_declare.h": "/*@@\n @header WAVEG_declare.h\n @date Nov 98\n @author Gabrielle Allen\n @desc\n Macro to calculate wave operator acting on the metric \n\n That is g^lm g_ij,lm\n\n @enddesc\n@@*/\n\n#ifndef WAVEG_DECLARE\n#define WAVEG_DECLARE\n\n#include \"UPPERMET_declare.h\"\n#include \"DDG_declare.h\"\n\n/* Output variables */ \n#undef WAVEG_DDGXX\n#define WAVEG_DDGXX waveg_ddgxx\n#undef WAVEG_DDGXY\n#define WAVEG_DDGXY waveg_ddgxy\n#undef WAVEG_DDGXZ\n#define WAVEG_DDGXZ waveg_ddgxz\n#undef WAVEG_DDGYY\n#define WAVEG_DDGYY waveg_ddgyy\n#undef WAVEG_DDGYZ\n#define WAVEG_DDGYZ waveg_ddgyz\n#undef WAVEG_DDGZZ\n#define WAVEG_DDGZZ waveg_ddgzz\n\n#ifdef FCODE\n\n CCTK_REAL WAVEG_DDGXX\n CCTK_REAL WAVEG_DDGXY\n CCTK_REAL WAVEG_DDGXZ\n CCTK_REAL WAVEG_DDGYY\n CCTK_REAL WAVEG_DDGYZ\n CCTK_REAL WAVEG_DDGZZ\n\n#endif\n\n#ifdef CCODE\n\n CCTK_REAL WAVEG_DDGXX\n CCTK_REAL WAVEG_DDGXY\n CCTK_REAL WAVEG_DDGXZ\n CCTK_REAL WAVEG_DDGYY\n CCTK_REAL WAVEG_DDGYZ\n CCTK_REAL WAVEG_DDGZZ\n\n#endif\n\n#endif\n\n", + "macro/CDXCDK_undefine.h": "/*@@\n @header CDXCDK_undefine.h\n @date Aug 98\n @author Gabrielle Allen\n @desc\n @enddesc\n@@*/\n\n#undef CDXCDK_GUTS\n\n#include \"DXDK_undefine.h\"\n#include \"CHR2_undefine.h\"\n", + "macro/MOMZADM_undefine.h": "/*@@\n @header MOMZADM_undefine.h\n @date Aug 98\n @author Gabrielle Allen\n @desc\n @enddesc\n@@*/\n\n#undef MOMZADM_GUTS\n\n#include \"UPPERMET_undefine.h\"\n#include \"CDK_undefine.h\"\n\n\n\n\n\n", + "macro/DZZDG_undefine.h": "/*@@\n @header DZZDG_undefine.h\n @date Jul 98\n @author Gabrielle Allen\n @desc\n @enddesc\n@@*/\n\n#undef DZZDG_GUTS\n\n#include \"DZDG_undefine.h\"\n\n", + "macro/CDZCDK_guts.h": "/*@@\n @header CDZCDK_guts.h\n @date August 98\n @author Gabrielle Allen\n @desc\n Macro to calculate the first covariant derivatives of the \n extrinsic curvature with respect to y\n @enddesc\n@@*/\n\n#ifndef CDZCDK_GUTS\n#define CDZCDK_GUTS\n\n#include \"DZDK_guts.h\"\n#include \"CHR2_guts.h\"\n\n#ifdef FCODE \n\n CDZCDK_CDZCDKXX = DZDK_DZDKXX - 2D0*(CHR2_XXZ*CDZCDK_KXX + \\\n CHR2_YXZ*CDZCDK_KXY + CHR2_ZXZ*CDZCDK_KXZ)\n\n CDZCDK_CDZCDKYY = DZDK_DZDKYY - 2D0*(CHR2_XYZ*CDZCDK_KXY + \\\n CHR2_YYZ*CDZCDK_KYY + CHR2_ZYZ*CDZCDK_KYZ)\n\n CDZCDK_CDZCDKZZ = DZDK_DZDKZZ - 2D0*(CHR2_XZZ*CDZCDK_KXZ + \\\n CHR2_YZZ*CDZCDK_KYZ + CHR2_ZZZ*CDZCDK_KZZ) \n\n CDZCDK_CDZCDKXY = DZDK_DZDKXY-(CHR2_XYZ*CDZCDK_KXX) - \\\n (CHR2_XXZ + CHR2_YYZ)*CDZCDK_KXY - CHR2_ZYZ*CDZCDK_KXZ - \\\n CHR2_YXZ*CDZCDK_KYY - CHR2_ZXZ*CDZCDK_KYZ\n\n CDZCDK_CDZCDKXZ = DZDK_DZDKXZ-(CHR2_XZZ*CDZCDK_KXX) - \\\n CHR2_YZZ*CDZCDK_KXY - (CHR2_XXZ + CHR2_ZZZ)*CDZCDK_KXZ \\\n - CHR2_YXZ*CDZCDK_KYZ - CHR2_ZXZ*CDZCDK_KZZ\n\n CDZCDK_CDZCDKYZ = DZDK_DZDKYZ-(CHR2_XZZ*CDZCDK_KXY) - \\\n CHR2_XYZ*CDZCDK_KXZ - CHR2_YZZ*CDZCDK_KYY - \\\n (CHR2_YYZ + CHR2_ZZZ)*CDZCDK_KYZ - CHR2_ZYZ*CDZCDK_KZZ\n\n#endif\n\n#ifdef CCODE\n\n CDZCDK_CDZCDKXX = DZDK_DZDKXX - 2.*(CHR2_XXZ*CDZCDK_KXX + \n CHR2_YXZ*CDZCDK_KXY + CHR2_ZXZ*CDZCDK_KXZ);\n\n CDZCDK_CDZCDKYY = DZDK_DZDKYY - 2.*(CHR2_XYZ*CDZCDK_KXY + \n CHR2_YYZ*CDZCDK_KYY + CHR2_ZYZ*CDZCDK_KYZ);\n\n CDZCDK_CDZCDKZZ = DZDK_DZDKZZ - 2.*(CHR2_XZZ*CDZCDK_KXZ + \n CHR2_YZZ*CDZCDK_KYZ + CHR2_ZZZ*CDZCDK_KZZ); \n\n CDZCDK_CDZCDKXY = DZDK_DZDKXY-(CHR2_XYZ*CDZCDK_KXX) - \n (CHR2_XXZ + CHR2_YYZ)*CDZCDK_KXY - CHR2_ZYZ*CDZCDK_KXZ - \n CHR2_YXZ*CDZCDK_KYY - CHR2_ZXZ*CDZCDK_KYZ;\n\n CDZCDK_CDZCDKXZ = DZDK_DZDKXZ-(CHR2_XZZ*CDZCDK_KXX) -\n CHR2_YZZ*CDZCDK_KXY - (CHR2_XXZ + CHR2_ZZZ)*CDZCDK_KXZ \n - CHR2_YXZ*CDZCDK_KYZ - CHR2_ZXZ*CDZCDK_KZZ;\n\n CDZCDK_CDZCDKYZ = DZDK_DZDKYZ-(CHR2_XZZ*CDZCDK_KXY) - \n CHR2_XYZ*CDZCDK_KXZ - CHR2_YZZ*CDZCDK_KYY - \n (CHR2_YYZ + CHR2_ZZZ)*CDZCDK_KYZ - CHR2_ZYZ*CDZCDK_KZZ;\n\n#endif\n\n#endif\n", + "macro/STRESSENERGY_declare.h": "/*@@\n @header STRESSENERGY_declare.h\n @date Nov 98\n @author Gabrielle Allen\n @desc\n Macro to calculate the components of the stress energy\n tensor\n scheme\n @enddesc\n@@*/\n\n#ifndef STRESSENERGY_DECLARE\n#define STRESSENERGY_DECLARE\n\n#include \"DETG_declare.h\"\n#include \"UPPERMET_declare.h\"\n#include \"TRT_declare.h\"\n#include \"CalcTmunu_temps.inc\"\n\n#undef STRESSENERGY_TTT \n#define STRESSENERGY_TTT Ttt\n#undef STRESSENERGY_TTX \n#define STRESSENERGY_TTX Ttx\n#undef STRESSENERGY_TTY \n#define STRESSENERGY_TTY Tty\n#undef STRESSENERGY_TTZ \n#define STRESSENERGY_TTZ Ttz\n#undef STRESSENERGY_TXX \n#define STRESSENERGY_TXX Txx\n#undef STRESSENERGY_TXY \n#define STRESSENERGY_TXY Txy\n#undef STRESSENERGY_TXZ \n#define STRESSENERGY_TXZ Txz\n#undef STRESSENERGY_TYY \n#define STRESSENERGY_TYY Tyy\n#undef STRESSENERGY_TYZ \n#define STRESSENERGY_TYZ Tyz\n#undef STRESSENERGY_TZZ \n#define STRESSENERGY_TZZ Tzz\n\n/* Symmetries */\n#undef STRESSENERGY_TXT\n#define STRESSENERGY_TXT STRESSENERGY_TTX\n#undef STRESSENERGY_TYT\n#define STRESSENERGY_TYT STRESSENERGY_TTY\n#undef STRESSENERGY_TZT\n#define STRESSENERGY_TZT STRESSENERGY_TTZ\n#undef STRESSENERGY_TYX\n#define STRESSENERGY_TYX STRESSENERGY_TXY\n#undef STRESSENERGY_TZX\n#define STRESSENERGY_TZX STRESSENERGY_TXZ\n#undef STRESSENERGY_TZY\n#define STRESSENERGY_TZY STRESSENERGY_TYZ\n\n CCTK_REAL STRESSENERGY_TTT\n CCTK_REAL STRESSENERGY_TTX\n CCTK_REAL STRESSENERGY_TTY\n CCTK_REAL STRESSENERGY_TTZ\n CCTK_REAL STRESSENERGY_TXX\n CCTK_REAL STRESSENERGY_TXY\n CCTK_REAL STRESSENERGY_TXZ\n CCTK_REAL STRESSENERGY_TYY\n CCTK_REAL STRESSENERGY_TYZ\n CCTK_REAL STRESSENERGY_TZZ\n \n CCTK_REAL uxx,uxy,uxz,uyy,uyz,uzz\n CCTK_REAL detg\n\n#endif\n", + "macro/DB_guts.h": "/*@@\n @header DB_guts.h\n @date Jul 98\n @author Gabrielle Allen\n @desc\n Macro to calculate all the first derivatives of the \n shift vector with respect to x, y, z\n\n Calls the macros @seefile DXDB_guts.h @seefile DYDB_guts.h\n and @seefile DZDB_guts.h.\n\n The macro is defined in terms of standard variables in\n @seefile DXDB_declare.h ,@seefile DYDB_declare.h and\n @seefile DZDB_declare.h\n @enddesc\n@@*/\n\n#ifndef DB_GUTS\n#define DB_GUTS\n\n#include \"DXDB_guts.h\"\n#include \"DYDB_guts.h\"\n#include \"DZDB_guts.h\"\n\n#endif\n", + "macro/DXYDG_undefine.h": "/*@@\n @header DXYDG_undefine.h\n @date Jul 98\n @author Gabrielle Allen\n @desc\n @enddesc\n@@*/\n\n#undef DXYDG_GUTS\n\n#include \"DXDG_undefine.h\"\n#include \"DYDG_undefine.h\"\n\n", + "macro/DA_undefine.h": "/*@@\n @header DA_undefine.h\n @date Jul 98\n @author Gabrielle Allen\n @desc\n @enddesc\n@@*/\n\n#undef DA_GUTS\n\n\n\n", + "macro/DZDCG_declare.h": "/*@@\n @header DZDCG_declare.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n Declarations for macro @seefile DZDCG_guts.h to compute first \n derivatives of the conformal metric with respect to z\n @enddesc\n@@*/\n\n#ifndef DZDCG_DECLARE\n\n#ifdef FCODE\n\n/* Input variables */\n#undef DZDCG_GXX_KP \n#define DZDCG_GXX_KP gxx(i,j,k+1)\n#undef DZDCG_GXX_KM\n#define DZDCG_GXX_KM gxx(i,j,k-1)\n#undef DZDCG_GXY_KP \n#define DZDCG_GXY_KP gxy(i,j,k+1)\n#undef DZDCG_GXY_KM \n#define DZDCG_GXY_KM gxy(i,j,k-1)\n#undef DZDCG_GXZ_KP \n#define DZDCG_GXZ_KP gxz(i,j,k+1)\n#undef DZDCG_GXZ_KM\n#define DZDCG_GXZ_KM gxz(i,j,k-1)\n#undef DZDCG_GYY_KP \n#define DZDCG_GYY_KP gyy(i,j,k+1)\n#undef DZDCG_GYY_KM \n#define DZDCG_GYY_KM gyy(i,j,k-1)\n#undef DZDCG_GYZ_KP \n#define DZDCG_GYZ_KP gyz(i,j,k+1)\n#undef DZDCG_GYZ_KM \n#define DZDCG_GYZ_KM gyz(i,j,k-1)\n#undef DZDCG_GZZ_KP \n#define DZDCG_GZZ_KP gzz(i,j,k+1)\n#undef DZDCG_GZZ_KM\n#define DZDCG_GZZ_KM gzz(i,j,k-1)\n\n/* Output variables */ \n#undef DZDCG_DZDCGXX\n#define DZDCG_DZDCGXX delgb311\n#undef DZDCG_DZDCGXY\n#define DZDCG_DZDCGXY delgb312\n#undef DZDCG_DZDCGXZ\n#define DZDCG_DZDCGXZ delgb313\n#undef DZDCG_DZDCGYY\n#define DZDCG_DZDCGYY delgb322\n#undef DZDCG_DZDCGYZ\n#define DZDCG_DZDCGYZ delgb323\n#undef DZDCG_DZDCGZZ\n#define DZDCG_DZDCGZZ delgb333\n\n/* Internal variables */\n#undef DZDCG_DZ\n#define DZDCG_DZ dz\n#undef DZDCG_OO2DZ \n#define DZDCG_OO2DZ cdzdg_oo2dz\n\n/* Declare internal variables */\n CCTK_REAL DZDCG_OO2DZ\n\n/* Declare output variables */\n CCTK_REAL DZDCG_DZDCGXX\n CCTK_REAL DZDCG_DZDCGXY\n CCTK_REAL DZDCG_DZDCGXZ\n CCTK_REAL DZDCG_DZDCGYY\n CCTK_REAL DZDCG_DZDCGYZ\n CCTK_REAL DZDCG_DZDCGZZ\n\n#endif\n\n\n#ifdef CCODE\n\n/* Input variables */\n#undef DZDCG_GXX_KP \n#define DZDCG_GXX_KP gxx[ dk+ijk]\n#undef DZDCG_GXX_KM\n#define DZDCG_GXX_KM gxx[-dk+ijk]\n#undef DZDCG_GXY_KP \n#define DZDCG_GXY_KP gxy[ dk+ijk]\n#undef DZDCG_GXY_KM \n#define DZDCG_GXY_KM gxy[-dk+ijk]\n#undef DZDCG_GXZ_KP \n#define DZDCG_GXZ_KP gxz[ dk+ijk]\n#undef DZDCG_GXZ_KM\n#define DZDCG_GXZ_KM gxz[-dk+ijk]\n#undef DZDCG_GYY_KP \n#define DZDCG_GYY_KP gyy[ dk+ijk]\n#undef DZDCG_GYY_KM \n#define DZDCG_GYY_KM gyy[-dk+ijk]\n#undef DZDCG_GYZ_KP \n#define DZDCG_GYZ_KP gyz[ dk+ijk]\n#undef DZDCG_GYZ_KM \n#define DZDCG_GYZ_KM gyz[-dk+ijk]\n#undef DZDCG_GZZ_KP \n#define DZDCG_GZZ_KP gzz[ dk+ijk]\n#undef DZDCG_GZZ_KM\n#define DZDCG_GZZ_KM gzz[-dk+ijk]\n\n/* Output variables */ \n#undef DZDCG_DZDCGXX\n#define DZDCG_DZDCGXX delgb311\n#undef DZDCG_DZDCGXY\n#define DZDCG_DZDCGXY delgb312\n#undef DZDCG_DZDCGXZ\n#define DZDCG_DZDCGXZ delgb313\n#undef DZDCG_DZDCGYY\n#define DZDCG_DZDCGYY delgb322\n#undef DZDCG_DZDCGYZ\n#define DZDCG_DZDCGYZ delgb323\n#undef DZDCG_DZDCGZZ\n#define DZDCG_DZDCGZZ delgb333\n\n/* Internal variables */\n#undef DZDCG_OO2DZ \n#define DZDCG_OO2DZ cdzdg_oo2dz\n\n/* Declare internal variables */\nCCTK_REAL DZDCG_OO2DZ;\n\n/* Declare output variables */\nCCTK_REAL DZDCG_DZDCGXX;\nCCTK_REAL DZDCG_DZDCGXY;\nCCTK_REAL DZDCG_DZDCGXZ;\nCCTK_REAL DZDCG_DZDCGYY;\nCCTK_REAL DZDCG_DZDCGYZ;\nCCTK_REAL DZDCG_DZDCGZZ;\n\n#endif\n\n#define DZDCG_DECLARE\n\n#endif\n", + "macro/DKDT_undefine.h": "/*@@\n @header DKDT_undefine.h\n @date Jul 98\n @author Gabrielle Allen\n @desc\n @enddesc\n@@*/\n\n#undef DKDT_GUTS\n\n#include \"RICCI_undefine.h\"\n#include \"KK_undefine.h\"\n#include \"TRK_undefine.h\"\n#include \"CDCDA_undefine.h\"\n#include \"LIEK_undefine.h\"\n\n\n", + "macro/WAVEG_guts.h": "/*@@\n @header WAVEG_guts.h\n @date Jul 98\n @author Gabrielle Allen\n @desc\n Macro to calculate wave operator acting on the metric \n\n That is g^lm g_ij,lm\n\n @enddesc\n@@*/\n\n#ifndef WAVEG_GUTS\n#define WAVEG_GUTS\n\n#include \"UPPERMET_guts.h\"\n#include \"DDG_guts.h\"\n\n#ifdef FCODE \n\n WAVEG_DDGXX = UPPERMET_UXX*DDG_DXXDGXX + \\\n 2D0*UPPERMET_UXY*DDG_DXYDGXX + \\\n 2D0*UPPERMET_UXZ*DDG_DXZDGXX + \\\n UPPERMET_UYY*DDG_DYYDGXX + \\\n 2D0*UPPERMET_UYZ*DDG_DYZDGXX + \\\n UPPERMET_UZZ*DDG_DZZDGXX\n\n WAVEG_DDGXY = UPPERMET_UXX*DDG_DXXDGXY + \\\n 2D0*UPPERMET_UXY*DDG_DXYDGXY + \\\n 2D0*UPPERMET_UXZ*DDG_DXZDGXY + \\\n UPPERMET_UYY*DDG_DYYDGXY + \\\n 2D0*UPPERMET_UYZ*DDG_DYZDGXY + \\\n UPPERMET_UZZ*DDG_DZZDGXY\n\n WAVEG_DDGXZ = UPPERMET_UXX*DDG_DXXDGXZ + \\\n 2D0*UPPERMET_UXY*DDG_DXYDGXZ + \\\n 2D0*UPPERMET_UXZ*DDG_DXZDGXZ + \\\n UPPERMET_UYY*DDG_DYYDGXZ + \\\n 2D0*UPPERMET_UYZ*DDG_DYZDGXZ + \\\n UPPERMET_UZZ*DDG_DZZDGXZ\n\n WAVEG_DDGYY = UPPERMET_UXX*DDG_DXXDGYY + \\\n 2D0*UPPERMET_UXY*DDG_DXYDGYY + \\\n 2D0*UPPERMET_UXZ*DDG_DXZDGYY + \\\n UPPERMET_UYY*DDG_DYYDGYY + \\\n 2D0*UPPERMET_UYZ*DDG_DYZDGYY + \\\n UPPERMET_UZZ*DDG_DZZDGYY\n\n WAVEG_DDGYZ = UPPERMET_UXX*DDG_DXXDGYZ + \\\n 2D0*UPPERMET_UXY*DDG_DXYDGYZ + \\\n 2D0*UPPERMET_UXZ*DDG_DXZDGYZ + \\\n UPPERMET_UYY*DDG_DYYDGYZ + \\\n 2D0*UPPERMET_UYZ*DDG_DYZDGYZ + \\\n UPPERMET_UZZ*DDG_DZZDGYZ\n\n WAVEG_DDGZZ = UPPERMET_UXX*DDG_DXXDGZZ + \\\n 2D0*UPPERMET_UXY*DDG_DXYDGZZ + \\\n 2D0*UPPERMET_UXZ*DDG_DXZDGZZ + \\\n UPPERMET_UYY*DDG_DYYDGZZ + \\\n 2D0*UPPERMET_UYZ*DDG_DYZDGZZ + \\\n UPPERMET_UZZ*DDG_DZZDGZZ\n\n#endif\n\n#ifdef CCODE\n\n WAVEG_DDGXX = UPPERMET_UXX*DDG_DXXDGXX +\n 2*UPPERMET_UXY*DDG_DXYDGXX +\n 2*UPPERMET_UXZ*DDG_DXZDGXX +\n UPPERMET_UYY*DDG_DYYDGXX +\n 2*UPPERMET_UYZ*DDG_DYZDGXX +\n UPPERMET_UZZ*DDG_DYYDGXX;\n\n WAVEG_DDGXY = UPPERMET_UXX*DDG_DXXDGXY +\n 2*UPPERMET_UXY*DDG_DXYDGXY +\n 2*UPPERMET_UXZ*DDG_DXZDGXY +\n UPPERMET_UYY*DDG_DYYDGXY +\n 2*UPPERMET_UYZ*DDG_DYZDGXY +\n UPPERMET_UZZ*DDG_DYYDGXY;\n\n WAVEG_DDGXZ = UPPERMET_UXX*DDG_DXXDGXZ +\n 2*UPPERMET_UXY*DDG_DXYDGXZ +\n 2*UPPERMET_UXZ*DDG_DXZDGXZ +\n UPPERMET_UYY*DDG_DYYDGXZ +\n 2*UPPERMET_UYZ*DDG_DYZDGXZ +\n UPPERMET_UZZ*DDG_DYYDGXZ;\n\n WAVEG_DDGYY = UPPERMET_UXX*DDG_DXXDGYY +\n 2*UPPERMET_UXY*DDG_DXYDGYY +\n 2*UPPERMET_UXZ*DDG_DXZDGYY +\n UPPERMET_UYY*DDG_DYYDGYY +\n 2*UPPERMET_UYZ*DDG_DYZDGYY +\n UPPERMET_UZZ*DDG_DYYDGYY;\n\n WAVEG_DDGYZ = UPPERMET_UXX*DDG_DXXDGYZ +\n 2*UPPERMET_UXY*DDG_DXYDGYZ +\n 2*UPPERMET_UXZ*DDG_DXZDGYZ +\n UPPERMET_UYY*DDG_DYYDGYZ +\n 2*UPPERMET_UYZ*DDG_DYZDGYZ +\n UPPERMET_UZZ*DDG_DYYDGYZ;\n\n WAVEG_DDGZZ = UPPERMET_UXX*DDG_DXXDGZZ +\n 2*UPPERMET_UXY*DDG_DXYDGZZ +\n 2*UPPERMET_UXZ*DDG_DXZDGZZ +\n UPPERMET_UYY*DDG_DYYDGZZ +\n 2*UPPERMET_UYZ*DDG_DYZDGZZ +\n UPPERMET_UZZ*DDG_DYYDGZZ;\n\n\n#endif\n\n#endif\n\n", + "macro/DZDB_guts.h": "/*@@\n @header DZDB_guts.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n\n Macro to calculate the first derivatives of the \n shift with respect to z\n\n The macro is defined in terms of standard variables in\n @seefile DZDB_declare.h\n @enddesc\n@@*/\n\n#ifndef DZDB_GUTS\n#define DZDB_GUTS\n\n#ifdef FCODE \n\n#include \"ADM_Derivative.h\"\n if (local_spatial_order.eq.2) then\n DZDB_DZDBX = ADM_DZ_2(betax,i,j,k)\n DZDB_DZDBY = ADM_DZ_2(betay,i,j,k)\n DZDB_DZDBZ = ADM_DZ_2(betaz,i,j,k)\n else\n DZDB_DZDBX = ADM_DZ_4(betax,i,j,k)\n DZDB_DZDBY = ADM_DZ_4(betay,i,j,k)\n DZDB_DZDBZ = ADM_DZ_4(betaz,i,j,k)\n end if\n#endif\n\n#ifdef CCODE\n\n DZDB_OO2DZ = 1/(2*cctkGH->cctk_delta_space[2]);\n \n DZDB_DZDBX = DZDB_OO2DZ*(DZDB_BX_KP - DZDB_BX_KM);\n DZDB_DZDBY = DZDB_OO2DZ*(DZDB_BY_KP - DZDB_BY_KM);\n DZDB_DZDBZ = DZDB_OO2DZ*(DZDB_BZ_KP - DZDB_BZ_KM);\n\n#endif\n\n#endif\n\n", + "macro/DXDK_declare.h": "/*@@\n @header DXDK_declare.h\n @date Jul 98\n @author Gabrielle Allen\n @desc\n Declarations for macro @seefile DXDK_guts.h to compute first \n derivatives of the extrinsic curvature with respect to x\n @enddesc\n@@*/\n\n#ifndef DXDK_DECLARE\n#define DXDK_DECLARE\n\n#ifdef FCODE\n\n/* Input variables */\n#undef DXDK_KXX_IP \n#define DXDK_KXX_IP kxx(i+1,j,k)\n#undef DXDK_KXX_IM\n#define DXDK_KXX_IM kxx(i-1,j,k)\n#undef DXDK_KXY_IP \n#define DXDK_KXY_IP kxy(i+1,j,k)\n#undef DXDK_KXY_IM \n#define DXDK_KXY_IM kxy(i-1,j,k)\n#undef DXDK_KXZ_IP \n#define DXDK_KXZ_IP kxz(i+1,j,k)\n#undef DXDK_KXZ_IM\n#define DXDK_KXZ_IM kxz(i-1,j,k)\n#undef DXDK_KYY_IP \n#define DXDK_KYY_IP kyy(i+1,j,k)\n#undef DXDK_KYY_IM \n#define DXDK_KYY_IM kyy(i-1,j,k)\n#undef DXDK_KYZ_IP \n#define DXDK_KYZ_IP kyz(i+1,j,k)\n#undef DXDK_KYZ_IM \n#define DXDK_KYZ_IM kyz(i-1,j,k)\n#undef DXDK_KZZ_IP \n#define DXDK_KZZ_IP kzz(i+1,j,k)\n#undef DXDK_KZZ_IM\n#define DXDK_KZZ_IM kzz(i-1,j,k)\n\n/* Output variables */ \n#undef DXDK_DXDKXX\n#define DXDK_DXDKXX dxdk_dxdkxx\n#undef DXDK_DXDKXY\n#define DXDK_DXDKXY dxdk_dxdkxy\n#undef DXDK_DXDKXZ\n#define DXDK_DXDKXZ dxdk_dxdkxz\n#undef DXDK_DXDKYY\n#define DXDK_DXDKYY dxdk_dxdkyy\n#undef DXDK_DXDKYZ\n#define DXDK_DXDKYZ dxdk_dxdkyz\n#undef DXDK_DXDKZZ\n#define DXDK_DXDKZZ dxdk_dxdkzz\n\n/* Internal variables */\n#undef DXDK_DX\n#define DXDK_DX dx\n#undef DXDK_OO2DX \n#define DXDK_OO2DX dxdk_oo2dx\n\n/* Declare internal variables */\n CCTK_REAL DXDK_OO2DX\n\n/* Declare output variables */\n CCTK_REAL DXDK_DXDKXX\n CCTK_REAL DXDK_DXDKXY\n CCTK_REAL DXDK_DXDKXZ\n CCTK_REAL DXDK_DXDKYY\n CCTK_REAL DXDK_DXDKYZ\n CCTK_REAL DXDK_DXDKZZ\n\n#endif\n\n\n#ifdef CCODE\n\n/* Input variables */\n#undef DXDK_KXX_IP \n#define DXDK_KXX_IP kxx[ di+ijk]\n#undef DXDK_KXX_IM\n#define DXDK_KXX_IM kxx[-di+ijk]\n#undef DXDK_KXY_IP \n#define DXDK_KXY_IP kxy[ di+ijk]\n#undef DXDK_KXY_IM \n#define DXDK_KXY_IM kxy[-di+ijk]\n#undef DXDK_KXZ_IP \n#define DXDK_KXZ_IP kxz[ di+ijk]\n#undef DXDK_KXZ_IM\n#define DXDK_KXZ_IM kxz[-di+ijk]\n#undef DXDK_KYY_IP \n#define DXDK_KYY_IP kyy[ di+ijk]\n#undef DXDK_KYY_IM \n#define DXDK_KYY_IM kyy[-di+ijk]\n#undef DXDK_KYZ_IP \n#define DXDK_KYZ_IP kyz[ di+ijk]\n#undef DXDK_KYZ_IM \n#define DXDK_KYZ_IM kyz[-di+ijk]\n#undef DXDK_KZZ_IP \n#define DXDK_KZZ_IP kzz[ di+ijk]\n#undef DXDK_KZZ_IM\n#define DXDK_KZZ_IM kzz[-di+ijk]\n\n/* Output variables */ \n#undef DXDK_DXDKXX\n#define DXDK_DXDKXX dxdk_dxdkxx\n#undef DXDK_DXDKXY\n#define DXDK_DXDKXY dxdk_dxdkxy\n#undef DXDK_DXDKXZ\n#define DXDK_DXDKXZ dxdk_dxdkxz\n#undef DXDK_DXDKYY\n#define DXDK_DXDKYY dxdk_dxdkyy\n#undef DXDK_DXDKYZ\n#define DXDK_DXDKYZ dxdk_dxdkyz\n#undef DXDK_DXDKZZ\n#define DXDK_DXDKZZ dxdk_dxdkzz\n\n/* Internal variables */\n#undef DXDK_DX\n#define DXDK_DX dx0\n#undef DXDK_OO2DX \n#define DXDK_OO2DX dxdk_oo2dx\n\n/* Declare internal variables */\nCCTK_REAL DXDK_DX;\nCCTK_REAL DXDK_OO2DX;\n\n/* Declare output variables */\nCCTK_REAL DXDK_DXDKXX;\nCCTK_REAL DXDK_DXDKXY;\nCCTK_REAL DXDK_DXDKXZ;\nCCTK_REAL DXDK_DXDKYY;\nCCTK_REAL DXDK_DXDKYZ;\nCCTK_REAL DXDK_DXDKZZ;\n\n#endif\n\n#endif\n", + "macro/DYDCG_guts.h": "/*@@\n @header DYDCG_guts.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n Macro to calculate the first derivatives of the \n conformal metric with respect to y\n\n The macro is defined in terms of standard variables in\n\n Requires: lower conformal metric at j+1,j-1 ; dy0\n\n Provides: derivative of lower conformal metric wrt y\n\n @seefile DYDCG_declare.h\n @enddesc\n@@*/\n\n#ifndef DYDCG_GUTS\n#define DYDCG_GUTS\n\n#ifdef FCODE \n\n#include \"ADM_Derivative.h\"\n\n if (local_spatial_order.eq.2) then \n DYDCG_DYDCGXX = ADM_DY_2(gxx,i,j,k)\n DYDCG_DYDCGXY = ADM_DY_2(gxy,i,j,k)\n DYDCG_DYDCGXZ = ADM_DY_2(gxz,i,j,k)\n DYDCG_DYDCGYY = ADM_DY_2(gyy,i,j,k)\n DYDCG_DYDCGYZ = ADM_DY_2(gyz,i,j,k)\n DYDCG_DYDCGZZ = ADM_DY_2(gzz,i,j,k)\n else\n DYDCG_DYDCGXX = ADM_DY_4(gxx,i,j,k)\n DYDCG_DYDCGXY = ADM_DY_4(gxy,i,j,k)\n DYDCG_DYDCGXZ = ADM_DY_4(gxz,i,j,k)\n DYDCG_DYDCGYY = ADM_DY_4(gyy,i,j,k)\n DYDCG_DYDCGYZ = ADM_DY_4(gyz,i,j,k)\n DYDCG_DYDCGZZ = ADM_DY_4(gzz,i,j,k)\n end if\n#endif\n\n\n#ifdef CCODE\n\n DYDCG_OO2DY = 1/(2*cctkGH->cctk_delta_space[1]);\n \n DYDCG_DYDCGXX = DYDCG_OO2DY*(DYDCG_GXX_JP - DYDCG_GXX_JM);\n DYDCG_DYDCGXY = DYDCG_OO2DY*(DYDCG_GXY_JP - DYDCG_GXY_JM);\n DYDCG_DYDCGXZ = DYDCG_OO2DY*(DYDCG_GXZ_JP - DYDCG_GXZ_JM);\n DYDCG_DYDCGYY = DYDCG_OO2DY*(DYDCG_GYY_JP - DYDCG_GYY_JM);\n DYDCG_DYDCGYZ = DYDCG_OO2DY*(DYDCG_GYZ_JP - DYDCG_GYZ_JM);\n DYDCG_DYDCGZZ = DYDCG_OO2DY*(DYDCG_GZZ_JP - DYDCG_GZZ_JM);\n\n#endif\n\n#endif\n", + "macro/CDCDA_undefine.h": "/*@@\n @header CDCDA_undefine.h\n @date Jul 98\n @author Gabrielle Allen\n @desc\n @enddesc\n@@*/\n\n#undef CDCDA_GUTS\n\n#include \"DA_undefine.h\"\n#include \"DDA_undefine.h\"\n#include \"CHR2_undefine.h\"\n\n\n", + "macro/CDYCDK_declare.h": "/*@@\n @header CDYCDK_declare.h\n @date Aug 98\n @author Gabrielle Allen\n @desc\n Declarations for macro to compute first conformal\n derivatives of the extrinsic curvature with respect to y\n @enddesc\n@@*/\n\n#ifndef CDYCDK_DECLARE\n#define CDYCDK_DECLARE\n\n#include \"DYDK_declare.h\"\n#include \"CHR2_declare.h\"\n\n#ifdef FCODE\n\n/* Input variables */\n#undef CDYCDK_KXX \n#define CDYCDK_KXX kxx(i,j,k)\n#undef CDYCDK_KXY \n#define CDYCDK_KXY kxy(i,j,k)\n#undef CDYCDK_KXZ \n#define CDYCDK_KXZ kxz(i,j,k)\n#undef CDYCDK_KYY \n#define CDYCDK_KYY kyy(i,j,k)\n#undef CDYCDK_KYZ \n#define CDYCDK_KYZ kyz(i,j,k)\n#undef CDYCDK_KZZ \n#define CDYCDK_KZZ kzz(i,j,k)\n\n/* Output variables */ \n#undef CDYCDK_CDYCDKXX\n#define CDYCDK_CDYCDKXX cdycdk_cdycdkxx\n#undef CDYCDK_CDYCDKXY\n#define CDYCDK_CDYCDKXY cdycdk_cdycdkxy\n#undef CDYCDK_CDYCDKXZ\n#define CDYCDK_CDYCDKXZ cdycdk_cdycdkxz\n#undef CDYCDK_CDYCDKYY\n#define CDYCDK_CDYCDKYY cdycdk_cdycdkyy\n#undef CDYCDK_CDYCDKYZ\n#define CDYCDK_CDYCDKYZ cdycdk_cdycdkyz\n#undef CDYCDK_CDYCDKZZ\n#define CDYCDK_CDYCDKZZ cdycdk_cdycdkzz\n\n/* Declare output variables */\n CCTK_REAL CDYCDK_CDYCDKXX\n CCTK_REAL CDYCDK_CDYCDKXY\n CCTK_REAL CDYCDK_CDYCDKXZ\n CCTK_REAL CDYCDK_CDYCDKYY\n CCTK_REAL CDYCDK_CDYCDKYZ\n CCTK_REAL CDYCDK_CDYCDKZZ\n\n#endif\n\n\n#ifdef CCODE\n\n/* Input variables */\n#undef CDYCDK_KXX \n#define CDYCDK_KXX kxx[ijk]\n#undef CDYCDK_KXY \n#define CDYCDK_KXY kxy[ijk]\n#undef CDYCDK_KXZ \n#define CDYCDK_KXZ kxz[ijk]\n#undef CDYCDK_KYY \n#define CDYCDK_KYY kyy[ijk]\n#undef CDYCDK_KYZ \n#define CDYCDK_KYZ kyz[ijk]\n#undef CDYCDK_KZZ \n#define CDYCDK_KZZ kzz[ijk]\n\n/* Output variables */ \n#undef CDYCDK_CDYCDKXX\n#define CDYCDK_CDYCDKXX cdycdk_cdycdkxx\n#undef CDYCDK_CDYCDKXY\n#define CDYCDK_CDYCDKXY cdycdk_cdycdkxy\n#undef CDYCDK_CDYCDKXZ\n#define CDYCDK_CDYCDKXZ cdycdk_cdycdkxz\n#undef CDYCDK_CDYCDKYY\n#define CDYCDK_CDYCDKYY cdycdk_cdycdkyy\n#undef CDYCDK_CDYCDKYZ\n#define CDYCDK_CDYCDKYZ cdycdk_cdycdkyz\n#undef CDYCDK_CDYCDKZZ\n#define CDYCDK_CDYCDKZZ cdycdk_cdycdkzz\n\n/* Declare output variables */\nCCTK_REAL CDYCDK_CDYCDKXX;\nCCTK_REAL CDYCDK_CDYCDKXY;\nCCTK_REAL CDYCDK_CDYCDKXZ;\nCCTK_REAL CDYCDK_CDYCDKYY;\nCCTK_REAL CDYCDK_CDYCDKYZ;\nCCTK_REAL CDYCDK_CDYCDKZZ;\n\n#endif\n\n#endif\n", + "macro/RICCI_declare.h": "/*@@\n @header RICCI_declare.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n\n Macro to calculate the components of the Ricci tensor. \n\n Requires: Second derivatives of physical metric\n Christoffel symbols of first kind\n Christoffel symbols of second kind\n Upper physical metric\n\n Provides: Components of the physical Ricci tensor\n\n @enddesc\n@@*/\n\n#ifndef RICCI_DECLARE \n\n#include \"UPPERMET_declare.h\"\n#include \"DDG_declare.h\"\n#include \"CHR1_declare.h\"\n#include \"CHR2_declare.h\"\n\n#ifdef FCODE\n\n/* Output variables */ \n#undef RICCI_RXX\n#define RICCI_RXX ricci_R11\n#undef RICCI_RXY\n#define RICCI_RXY ricci_R12\n#undef RICCI_RXZ\n#define RICCI_RXZ ricci_R13\n#undef RICCI_RYY\n#define RICCI_RYY ricci_R22\n#undef RICCI_RYZ\n#define RICCI_RYZ ricci_R23\n#undef RICCI_RZZ\n#define RICCI_RZZ ricci_R33\n\n/* Declare output variables */\n CCTK_REAL RICCI_RXX\n CCTK_REAL RICCI_RXY\n CCTK_REAL RICCI_RXZ\n CCTK_REAL RICCI_RYY\n CCTK_REAL RICCI_RYZ\n CCTK_REAL RICCI_RZZ\n\n#endif\n\n#ifdef CCODE\n\n/* Output variables */ \n#undef RICCI_RXX\n#define RICCI_RXX ricci_R11\n#undef RICCI_RXY\n#define RICCI_RXY ricci_R12\n#undef RICCI_RXZ\n#define RICCI_RXZ ricci_R13\n#undef RICCI_RYY\n#define RICCI_RYY ricci_R22\n#undef RICCI_RYZ\n#define RICCI_RYZ ricci_R23\n#undef RICCI_RZZ\n#define RICCI_RZZ ricci_R33\n\n/* Declare output variables */\nCCTK_REAL RICCI_RXX;\nCCTK_REAL RICCI_RXY;\nCCTK_REAL RICCI_RXZ;\nCCTK_REAL RICCI_RYY;\nCCTK_REAL RICCI_RYZ;\nCCTK_REAL RICCI_RZZ;\n\n#endif\n\n#define RICCI_DECLARE\n\n#endif\n", + "macro/HAMADM_undefine.h": "/*@@\n @header HAMADM_undefine.h\n @date Aug 98\n @author Gabrielle Allen\n @desc\n @enddesc\n@@*/\n\n#undef HAMADM_GUTS\n\n#include \"TRRICCI_undefine.h\"\n#include \"TRKK_undefine.h\"\n#include \"TRK_undefine.h\"\n\n\n\n\n\n", + "macro/TRK_guts.h": "/*@@\n @header TRK_guts.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n\n Macro to calculate the trace of the extrinsic curvature\n\n The macro is defined in terms of standard variables in\n TRK_declare.h\n\n Requires: Upper physical metric\n Lower extrainsic curvature\n\n Provides: Trace of the extrinsic curvature\n\n @enddesc\n@@*/\n\n#ifndef TRK_GUTS\n#define TRK_GUTS\n\n#include \"UPPERMET_guts.h\"\n\n#ifdef FCODE\n\n TRK_TRK = UPPERMET_UXX*TRK_HXX + UPPERMET_UYY*TRK_HYY \\\n + UPPERMET_UZZ*TRK_HZZ + 2D0*(UPPERMET_UXY*TRK_HXY \\\n + UPPERMET_UXZ*TRK_HXZ + UPPERMET_UYZ*TRK_HYZ)\n \n#endif\n\n#ifdef CCODE\n\n TRK_TRK = UPPERMET_UXX*TRK_HXX + UPPERMET_UYY*TRK_HYY\n + UPPERMET_UZZ*TRK_HZZ + 2*(UPPERMET_UXY*TRK_HXY\n + UPPERMET_UXZ*TRK_HXZ + UPPERMET_UYZ*TRK_HYZ);\n\n#endif\n\n#endif\n \n", + "macro/NABA_declare.h": "/*@@\n @header NABA_declare.h\n @date Jul 98\n @author Gabrielle Allen\n @desc\n Declarations for macro to calculate the nabla operator acting on the lapse\n\n That is alpha_i^i\n @enddesc\n@@*/\n\n#ifndef NABA_DECLARE\n#define NABA_DECLARE\n\n#include \"UPPERMET_declare.h\"\n#include \"CDCDA_declare.h\"\n\n/* Output variables */ \n#undef NABA_NABA\n#define NABA_NABA naba_naba\n\n#ifdef FCODE\n\n/* Declare output variables */\n CCTK_REAL NABA_NABA\n\n#endif\n\n#ifdef CCODE\n\n/* Declare output variables */\n CCTK_REAL NABA_NABA;\n\n#endif\n\n#endif\n", + "macro/DDG_guts.h": "/*@@\n @header DDG_guts.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n Macro to calculate all the second (and first) derivatives of the \n physical metric with respect to x, y, z\n\n Calls the macros @seefile D??DG_guts.h and @seefile D?DG_guts.h\n\n The macro is defined in terms of standard variables in\n @seefile D??DG_declare.h ,@seefile D?DG_declare.h\n @enddesc\n@@*/ \n\n#ifndef DDG_GUTS \n#define DDG_GUTS\n\n#include \"DXXDG_guts.h\"\n#include \"DXYDG_guts.h\"\n#include \"DXZDG_guts.h\"\n#include \"DYYDG_guts.h\"\n#include \"DYZDG_guts.h\"\n#include \"DZZDG_guts.h\"\n\n#endif\n", + "macro/DETG_declare.h": "/*@@\n @header DETG_declare.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n Determinants of physical and conformal 3-metric\n @enddesc\n@@*/\n\n#ifndef DETG_DECLARE\n#define DETG_DECLARE\n\n#ifdef FCODE\n\n/* Input variables */\n#undef DETG_PSI\n#define DETG_PSI 1.\n\n#undef DETG_GXX\n#define DETG_GXX gxx(i,j,k)\n#undef DETG_GXY\n#define DETG_GXY gxy(i,j,k)\n#undef DETG_GXZ\n#define DETG_GXZ gxz(i,j,k)\n#undef DETG_GYY\n#define DETG_GYY gyy(i,j,k)\n#undef DETG_GYZ\n#define DETG_GYZ gyz(i,j,k)\n#undef DETG_GZZ\n#define DETG_GZZ gzz(i,j,k)\n\n/* Output variables */\n#undef DETG_DETG\n#define DETG_DETG detg_detg\n#undef DETG_DETCG\n#define DETG_DETCG detg_detcg\n\n\n/* Temporary variables */\n#undef DETG_PSI4\n#define DETG_PSI4 detg_psi4\n\n#undef DETG_TEMPXX\n#define DETG_TEMPXX detg_tempxx\n#undef DETG_TEMPXY\n#define DETG_TEMPXY detg_tempxy\n#undef DETG_TEMPXZ\n#define DETG_TEMPXZ detg_tempxz\n#undef DETG_TEMPYY\n#define DETG_TEMPYY detg_tempyy\n#undef DETG_TEMPYZ\n#define DETG_TEMPYZ detg_tempyz\n#undef DETG_TEMPZZ\n#define DETG_TEMPZZ detg_tempzz\n\n/* Declare internal variables */\n CCTK_REAL DETG_PSI4\n CCTK_REAL DETG_TEMPXX,DETG_TEMPXY,DETG_TEMPXZ\n CCTK_REAL DETG_TEMPYY,DETG_TEMPYZ,DETG_TEMPZZ\n\n/* Declare output variables */\n CCTK_REAL DETG_DETG, DETG_DETCG\n\n#endif\n\n\n\n\n#ifdef CCODE\n\n/* Input variables */\n#undef DETG_PSI\n#define DETG_PSI 1.\n\n#undef DETG_GXX\n#define DETG_GXX gxx[ijk]\n#undef DETG_GXY\n#define DETG_GXY gxy[ijk]\n#undef DETG_GXZ\n#define DETG_GXZ gxz[ijk]\n#undef DETG_GYY\n#define DETG_GYY gyy[ijk]\n#undef DETG_GYZ\n#define DETG_GYZ gyz[ijk]\n#undef DETG_GZZ\n#define DETG_GZZ gzz[ijk]\n\n/* Output variables */\n#undef DETG_DETG\n#define DETG_DETG detg_detg\n#undef DETG_DETCG\n#define DETG_DETCG detg_detcg\n\n/* Internal variables */\n\n#undef DETG_PSI4 \n#define DETG_PSI4 detg_psi4\n\n#undef DETG_TEMPXX\n#define DETG_TEMPXX detg_tempxx\n#undef DETG_TEMPXY\n#define DETG_TEMPXY detg_tempxy\n#undef DETG_TEMPXZ\n#define DETG_TEMPXZ detg_tempxz\n#undef DETG_TEMPYY\n#define DETG_TEMPYY detg_tempyy\n#undef DETG_TEMPYZ\n#define DETG_TEMPYZ detg_tempyz\n#undef DETG_TEMPZZ\n#define DETG_TEMPZZ detg_tempzz\n\n/* Declare internal variables */\nCCTK_REAL DETG_PSI4;\nCCTK_REAL DETG_TEMPXX;\nCCTK_REAL DETG_TEMPXY;\nCCTK_REAL DETG_TEMPXZ;\nCCTK_REAL DETG_TEMPYY;\nCCTK_REAL DETG_TEMPYZ;\nCCTK_REAL DETG_TEMPZZ;\n\n/* Declare output variables */\nCCTK_REAL DETG_DETG;\nCCTK_REAL DETG_DETCG;\n\n#endif\n\n#endif\n\n\n", + "macro/DK_guts.h": "/*@@\n @header DK_guts.h\n @date Jul 98\n @author Gabrielle Allen\n @desc\n Macro to calculate all the first derivatives of the \n extrinsic curvature with respect to x, y, z\n\n Calls the macros @seefile DXDK_guts.h @seefile DYDK_guts.h\n and @seefile DZDK_guts.h.\n\n The macro is defined in terms of standard variables in\n @seefile DXDK_declare.h ,@seefile DYDK_declare.h and\n @seefile DZDK_declare.h\n @enddesc\n@@*/\n\n#ifndef DK_GUTS\n#define DK_GUTS\n\n#include \"DXDK_guts.h\"\n#include \"DYDK_guts.h\"\n#include \"DZDK_guts.h\"\n\n#endif\n", + "macro/DXYDG_guts.h": "/*@@\n @header DXYDG_guts.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n Macro to calculate the (first and) second derivatives of the \n physical metric with respect to x,y\n\n The macro is defined in terms of standard variables in\n @seefile DXYDG_declare.h\n\n The macro uses @seefile DXDG_guts.h , @seefile DYDG_guts.h and \n @seefile DXDG_declare.h , @seefile DYDG_declare.h\n @enddesc\n@@*/\n\n#ifndef DXYDG_GUTS\n#define DXYDG_GUTS\n\n#include \"DXDG_guts.h\"\n#include \"DYDG_guts.h\"\n\n#ifdef FCODE \n\n#include \"ADM_Derivative.h\"\n\n /* Factor involving 2nd derivative of conformal factor, nowadays zero */ \n DXYDG_FAC = 0\n \n /* Now calculate the second deriatives */\n if (local_spatial_order.eq.2) then\n DXYDG_DXYDGXX = DYDCG_DYDCGXX*DXDG_FAC + DXDCG_DXDCGXX*DYDG_FAC \\\n + DXYDG_FAC*DXDG_GXX + DXDG_PSI4*ADM_DXY_2(gxx,i,j,k)\n\n DXYDG_DXYDGXY = DYDCG_DYDCGXY*DXDG_FAC + DXDCG_DXDCGXY*DYDG_FAC \\\n + DXYDG_FAC*DXDG_GXY + DXDG_PSI4*ADM_DXY_2(gxy,i,j,k)\n\n DXYDG_DXYDGXZ = DYDCG_DYDCGXZ*DXDG_FAC + DXDCG_DXDCGXZ*DYDG_FAC \\\n + DXYDG_FAC*DXDG_GXZ + DXDG_PSI4*ADM_DXY_2(gxz,i,j,k)\n\n DXYDG_DXYDGYY = DYDCG_DYDCGYY*DXDG_FAC + DXDCG_DXDCGYY*DYDG_FAC \\\n + DXYDG_FAC*DXDG_GYY + DXDG_PSI4*ADM_DXY_2(gyy,i,j,k)\n\n DXYDG_DXYDGYZ = DYDCG_DYDCGYZ*DXDG_FAC + DXDCG_DXDCGYZ*DYDG_FAC \\\n + DXYDG_FAC*DXDG_GYZ + DXDG_PSI4*ADM_DXY_2(gyz,i,j,k)\n\n DXYDG_DXYDGZZ = DYDCG_DYDCGZZ*DXDG_FAC + DXDCG_DXDCGZZ*DYDG_FAC \\\n + DXYDG_FAC*DXDG_GZZ + DXDG_PSI4*ADM_DXY_2(gzz,i,j,k)\n else\n DXYDG_DXYDGXX = DYDCG_DYDCGXX*DXDG_FAC + DXDCG_DXDCGXX*DYDG_FAC \\\n + DXYDG_FAC*DXDG_GXX + DXDG_PSI4*ADM_DXY_4(gxx,i,j,k)\n\n DXYDG_DXYDGXY = DYDCG_DYDCGXY*DXDG_FAC + DXDCG_DXDCGXY*DYDG_FAC \\\n + DXYDG_FAC*DXDG_GXY + DXDG_PSI4*ADM_DXY_4(gxy,i,j,k)\n\n DXYDG_DXYDGXZ = DYDCG_DYDCGXZ*DXDG_FAC + DXDCG_DXDCGXZ*DYDG_FAC \\\n + DXYDG_FAC*DXDG_GXZ + DXDG_PSI4*ADM_DXY_4(gxz,i,j,k)\n\n DXYDG_DXYDGYY = DYDCG_DYDCGYY*DXDG_FAC + DXDCG_DXDCGYY*DYDG_FAC \\\n + DXYDG_FAC*DXDG_GYY + DXDG_PSI4*ADM_DXY_4(gyy,i,j,k)\n\n DXYDG_DXYDGYZ = DYDCG_DYDCGYZ*DXDG_FAC + DXDCG_DXDCGYZ*DYDG_FAC \\\n + DXYDG_FAC*DXDG_GYZ + DXDG_PSI4*ADM_DXY_4(gyz,i,j,k)\n\n DXYDG_DXYDGZZ = DYDCG_DYDCGZZ*DXDG_FAC + DXDCG_DXDCGZZ*DYDG_FAC \\\n + DXYDG_FAC*DXDG_GZZ + DXDG_PSI4*ADM_DXY_4(gzz,i,j,k)\n end if\n\n#endif\n\n#ifdef CCODE\n\n/* Factor involving 2nd derivative of conformal factor, nowadays zero */ \n DXYDG_FAC = 0;\n\n/* Now calculate the second deriatives */\n DXYDG_DXYDGXX = DYDCG_DYDCGXX*DXDG_FAC+DXDCG_DXDCGXX*DYDG_FAC+DXYDG_FAC*DXDG_GXX\n +DXDG_PSI4*DXYDG_OO4DXDY*\n (DXYDG_GXX_IPJP-DXYDG_GXX_IPJM-DXYDG_GXX_IMJP+DXYDG_GXX_IMJM);\n\n DXYDG_DXYDGXY = DYDCG_DYDCGXY*DXDG_FAC+DXDCG_DXDCGXY*DYDG_FAC+DXYDG_FAC*DXDG_GXY\n +DXDG_PSI4*DXYDG_OO4DXDY*\n (DXYDG_GXY_IPJP-DXYDG_GXY_IPJM-DXYDG_GXY_IMJP+DXYDG_GXY_IMJM);\n\n DXYDG_DXYDGXZ = DYDCG_DYDCGXZ*DXDG_FAC+DXDCG_DXDCGXZ*DYDG_FAC+DXYDG_FAC*DXDG_GXZ\n +DXDG_PSI4*DXYDG_OO4DXDY*\n (DXYDG_GXZ_IPJP-DXYDG_GXZ_IPJM-DXYDG_GXZ_IMJP+DXYDG_GXZ_IMJM);\n\n DXYDG_DXYDGYY = DYDCG_DYDCGYY*DXDG_FAC+DXDCG_DXDCGYY*DYDG_FAC+DXYDG_FAC*DXDG_GYY\n +DXDG_PSI4*DXYDG_OO4DXDY*\n (DXYDG_GYY_IPJP-DXYDG_GYY_IPJM-DXYDG_GYY_IMJP+DXYDG_GYY_IMJM);\n\n DXYDG_DXYDGYZ = DYDCG_DYDCGYZ*DXDG_FAC+DXDCG_DXDCGYZ*DYDG_FAC+DXYDG_FAC*DXDG_GYZ\n +DXDG_PSI4*DXYDG_OO4DXDY*\n (DXYDG_GYZ_IPJP-DXYDG_GYZ_IPJM-DXYDG_GYZ_IMJP+DXYDG_GYZ_IMJM);\n\n DXYDG_DXYDGZZ = DYDCG_DYDCGZZ*DXDG_FAC+DXDCG_DXDCGZZ*DYDG_FAC+DXYDG_FAC*DXDG_GZZ\n +DXDG_PSI4*DXYDG_OO4DXDY*\n (DXYDG_GZZ_IPJP-DXYDG_GZZ_IPJM-DXYDG_GZZ_IMJP+DXYDG_GZZ_IMJM);\n\n#endif\n\n#endif\n", + "macro/DKDT_guts.h": "/*@@\n @header DKDT_guts.h\n @date Jul 98\n @author Gabrielle Allen\n @desc\n Macro to calculate the source term in the evolution equation for the\n extrinsic curvature. That is\n\n d K_ij/dt = alpha*(R_ij-2 K_ik K^k_j + K_ij trK] - nabla_i nabla_j alpha\n\n + Lie_beta K_ij\n \n @enddesc\n@@*/\n\n#ifndef DKDT_GUTS\n#define DKDT_GUTS\n\n#include \"RICCI_guts.h\"\n#include \"KK_guts.h\"\n#include \"TRK_guts.h\"\n#include \"CDCDA_guts.h\"\n\n#ifdef FCODE \n\n DKDT_DKXXDT = DKDT_A*(RICCI_RXX-2*KK_KKXX+DKDT_KXX*TRK_TRK)-CDCDA_CDXXDA\n DKDT_DKXYDT = DKDT_A*(RICCI_RXY-2*KK_KKXY+DKDT_KXY*TRK_TRK)-CDCDA_CDXYDA\n DKDT_DKXZDT = DKDT_A*(RICCI_RXZ-2*KK_KKXZ+DKDT_KXZ*TRK_TRK)-CDCDA_CDXZDA\n DKDT_DKYYDT = DKDT_A*(RICCI_RYY-2*KK_KKYY+DKDT_KYY*TRK_TRK)-CDCDA_CDYYDA\n DKDT_DKYZDT = DKDT_A*(RICCI_RYZ-2*KK_KKYZ+DKDT_KYZ*TRK_TRK)-CDCDA_CDYZDA\n DKDT_DKZZDT = DKDT_A*(RICCI_RZZ-2*KK_KKZZ+DKDT_KZZ*TRK_TRK)-CDCDA_CDZZDA\n\n IF (shift_state .ne. 0) THEN\n\n#include \"LIEK_guts.h\"\n\n DKDT_DKXXDT = DKDT_DKXXDT + LIEK_LKXX\n DKDT_DKXYDT = DKDT_DKXYDT + LIEK_LKXY\n DKDT_DKXZDT = DKDT_DKXZDT + LIEK_LKXZ\n DKDT_DKYYDT = DKDT_DKYYDT + LIEK_LKYY\n DKDT_DKYZDT = DKDT_DKYZDT + LIEK_LKYZ\n DKDT_DKZZDT = DKDT_DKZZDT + LIEK_LKZZ\n\n END IF\n\n\n#endif\n\n#ifdef CCODE\n\n DKDT_DKXXDT = DKDT_A*(RICCI_RXX-2*KK_KKXX+DKDT_KXX*TRK_TRK)-CDCDA_CDXXDA;\n DKDT_DKXYDT = DKDT_A*(RICCI_RXY-2*KK_KKXY+DKDT_KXY*TRK_TRK)-CDCDA_CDXYDA;\n DKDT_DKXZDT = DKDT_A*(RICCI_RXZ-2*KK_KKXZ+DKDT_KXZ*TRK_TRK)-CDCDA_CDXZDA;\n DKDT_DKYYDT = DKDT_A*(RICCI_RYY-2*KK_KKYY+DKDT_KYY*TRK_TRK)-CDCDA_CDYYDA;\n DKDT_DKYZDT = DKDT_A*(RICCI_RYZ-2*KK_KKYZ+DKDT_KYZ*TRK_TRK)-CDCDA_CDYZDA;\n DKDT_DKZZDT = DKDT_A*(RICCI_RZZ-2*KK_KKZZ+DKDT_KZZ*TRK_TRK)-CDCDA_CDZZDA;\n\n if (*shift_state != 0) \n {\n\n#include \"LIEK_guts.h\"\n\n DKDT_DKXXDT = DKDT_DKXXDT + LIEK_LKXX;\n DKDT_DKXYDT = DKDT_DKXYDT + LIEK_LKXY;\n DKDT_DKXZDT = DKDT_DKXZDT + LIEK_LKXZ;\n DKDT_DKYYDT = DKDT_DKYYDT + LIEK_LKYY;\n DKDT_DKYZDT = DKDT_DKYZDT + LIEK_LKYZ;\n DKDT_DKZZDT = DKDT_DKZZDT + LIEK_LKZZ;\n\n }\n\n#endif\n\n#endif\n\n", + "macro/DYDK_declare.h": "/*@@\n @header DYDK_declare.h\n @date Jul 98\n @author Gabrielle Allen\n @desc\n Declarations for macro @seefile DYDG_guts.h to compute first \n derivatives of the extrinsic curvature with respect to y\n @enddesc\n@@*/\n\n#ifndef DYDK_DECLARE\n\n#ifdef FCODE\n\n/* Input variables */\n#undef DYDK_KXX_JP \n#define DYDK_KXX_JP kxx(i,j+1,k)\n#undef DYDK_KXX_JM\n#define DYDK_KXX_JM kxx(i,j-1,k)\n#undef DYDK_KXY_JP \n#define DYDK_KXY_JP kxy(i,j+1,k)\n#undef DYDK_KXY_JM \n#define DYDK_KXY_JM kxy(i,j-1,k)\n#undef DYDK_KXZ_JP \n#define DYDK_KXZ_JP kxz(i,j+1,k)\n#undef DYDK_KXZ_JM\n#define DYDK_KXZ_JM kxz(i,j-1,k)\n#undef DYDK_KYY_JP \n#define DYDK_KYY_JP kyy(i,j+1,k)\n#undef DYDK_KYY_JM \n#define DYDK_KYY_JM kyy(i,j-1,k)\n#undef DYDK_KYZ_JP \n#define DYDK_KYZ_JP kyz(i,j+1,k)\n#undef DYDK_KYZ_JM \n#define DYDK_KYZ_JM kyz(i,j-1,k)\n#undef DYDK_KZZ_JP \n#define DYDK_KZZ_JP kzz(i,j+1,k)\n#undef DYDK_KZZ_JM\n#define DYDK_KZZ_JM kzz(i,j-1,k)\n\n/* Output variables */ \n#undef DYDK_DYDKXX\n#define DYDK_DYDKXX dydk_dydkxx\n#undef DYDK_DYDKXY\n#define DYDK_DYDKXY dydk_dydkxy\n#undef DYDK_DYDKXZ\n#define DYDK_DYDKXZ dydk_dydkxz\n#undef DYDK_DYDKYY\n#define DYDK_DYDKYY dydk_dydkyy\n#undef DYDK_DYDKYZ\n#define DYDK_DYDKYZ dydk_dydkyz\n#undef DYDK_DYDKZZ\n#define DYDK_DYDKZZ dydk_dydkzz \n\n/* Internal variables */\n#undef DYDK_DY\n#define DYDK_DY dy\n#undef DYDK_OO2DY \n#define DYDK_OO2DY dydk_oo2dy\n\n/* Declare internal variables */\n CCTK_REAL DYDK_OO2DY\n\n/* Declare output variables */\n CCTK_REAL DYDK_DYDKXX\n CCTK_REAL DYDK_DYDKXY\n CCTK_REAL DYDK_DYDKXZ\n CCTK_REAL DYDK_DYDKYY\n CCTK_REAL DYDK_DYDKYZ\n CCTK_REAL DYDK_DYDKZZ\n\n#endif\n\n\n#ifdef CCODE\n\n/* Input variables */\n#undef DYDK_KXX_JP \n#define DYDK_KXX_JP kxx[ dj+ijk]\n#undef DYDK_KXX_JM\n#define DYDK_KXX_JM kxx[-dj+ijk]\n#undef DYDK_KXY_JP \n#define DYDK_KXY_JP kxy[ dj+ijk]\n#undef DYDK_KXY_JM \n#define DYDK_KXY_JM kxy[-dj+ijk]\n#undef DYDK_KXZ_JP \n#define DYDK_KXZ_JP kxz[ dj+ijk]\n#undef DYDK_KXZ_JM\n#define DYDK_KXZ_JM kxz[-dj+ijk]\n#undef DYDK_KYY_JP \n#define DYDK_KYY_JP kyy[ dj+ijk]\n#undef DYDK_KYY_JM \n#define DYDK_KYY_JM kyy[-dj+ijk]\n#undef DYDK_KYZ_JP \n#define DYDK_KYZ_JP kyz[ dj+ijk]\n#undef DYDK_KYZ_JM \n#define DYDK_KYZ_JM kyz[-dj+ijk]\n#undef DYDK_KZZ_JP \n#define DYDK_KZZ_JP kzz[ dj+ijk]\n#undef DYDK_KZZ_JM\n#define DYDK_KZZ_JM kzz[-dj+ijk]\n\n/* Output variables */ \n#undef DYDK_DYDKXX\n#define DYDK_DYDKXX dydk_dydkxx\n#undef DYDK_DYDKXY\n#define DYDK_DYDKXY dydk_dydkxy\n#undef DYDK_DYDKXZ\n#define DYDK_DYDKXZ dydk_dydkxz\n#undef DYDK_DYDKYY\n#define DYDK_DYDKYY dydk_dydkyy\n#undef DYDK_DYDKYZ\n#define DYDK_DYDKYZ dydk_dydkyz\n#undef DYDK_DYDKZZ\n#define DYDK_DYDKZZ dydk_dydkzz \n\n/* Internal variables */\n#undef DYDK_OO2DY \n#define DYDK_OO2DY dydk_oo2dy\n\n/* Declare internal variables */\nCCTK_REAL DYDK_OO2DY;\n\n/* Declare output variables */\nCCTK_REAL DYDK_DYDKXX;\nCCTK_REAL DYDK_DYDKXY;\nCCTK_REAL DYDK_DYDKXZ;\nCCTK_REAL DYDK_DYDKYY;\nCCTK_REAL DYDK_DYDKYZ;\nCCTK_REAL DYDK_DYDKZZ;\n\n#endif\n\n#define DYDK_DECLARE\n\n#endif\n\n", + "macro/DXDG_declare.h": "/*@@\n @header DXDG_declare.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n Declarations for macro @seefile DXDG_guts.h to compute first \n derivatives of the physical metric with respect to x\n @enddesc\n@@*/\n\n#ifndef DXDG_DECLARE\n#define DXDG_DECLARE\n\n#include \"DXDCG_declare.h\"\n\n#ifdef FCODE\n\n/* Input variables */\n#undef DXDG_PSI\n#define DXDG_PSI 1.\n\n#undef DXDG_DXDPSI_O_PSI\n#define DXDG_DXDPSI_O_PSI 0.\n\n#undef DXDG_GXX \n#define DXDG_GXX gxx(i,j,k)\n#undef DXDG_GXY \n#define DXDG_GXY gxy(i,j,k)\n#undef DXDG_GXZ \n#define DXDG_GXZ gxz(i,j,k)\n#undef DXDG_GYY \n#define DXDG_GYY gyy(i,j,k)\n#undef DXDG_GYZ \n#define DXDG_GYZ gyz(i,j,k)\n#undef DXDG_GZZ \n#define DXDG_GZZ gzz(i,j,k)\n\n/* Output variables */ \n#undef DXDG_DXDGXX\n#define DXDG_DXDGXX dxdgxx\n#undef DXDG_DXDGXY\n#define DXDG_DXDGXY dxdgxy\n#undef DXDG_DXDGXZ\n#define DXDG_DXDGXZ dxdgxz\n#undef DXDG_DXDGYY\n#define DXDG_DXDGYY dxdgyy\n#undef DXDG_DXDGYZ\n#define DXDG_DXDGYZ dxdgyz\n#undef DXDG_DXDGZZ\n#define DXDG_DXDGZZ dxdgzz\n\n/* Internal variables */\n#undef DXDG_PSI4\n#define DXDG_PSI4 dxdg_psi4\n\n#undef DXDG_FAC\n#define DXDG_FAC dxdg_fac\n\n/* Declare internal variables */\n CCTK_REAL DXDG_PSI4;\n CCTK_REAL DXDG_FAC;\n\n/* Declare output variables */\n CCTK_REAL DXDG_DXDGXX;\n CCTK_REAL DXDG_DXDGXY;\n CCTK_REAL DXDG_DXDGXZ;\n CCTK_REAL DXDG_DXDGYY;\n CCTK_REAL DXDG_DXDGYZ;\n CCTK_REAL DXDG_DXDGZZ;\n\n#endif\n\n#ifdef CCODE\n\n/* Input variables */\n#undef DXDG_PSI\n#define DXDG_PSI 1.\n\n#undef DXDG_DXDPSI_O_PSI\n#define DXDG_DXDPSI_O_PSI 0.\n\n#undef DXDG_GXX \n#define DXDG_GXX gxx[ijk]\n#undef DXDG_GXY \n#define DXDG_GXY gxy[ijk]\n#undef DXDG_GXZ \n#define DXDG_GXZ gxz[ijk]\n#undef DXDG_GYY \n#define DXDG_GYY gyy[ijk]\n#undef DXDG_GYZ \n#define DXDG_GYZ gyz[ijk]\n#undef DXDG_GZZ \n#define DXDG_GZZ gzz[ijk]\n\n/* Output variables */ \n#undef DXDG_DXDGXX\n#define DXDG_DXDGXX delg111\n#undef DXDG_DXDGXY\n#define DXDG_DXDGXY delg112\n#undef DXDG_DXDGXZ\n#define DXDG_DXDGXZ delg113\n#undef DXDG_DXDGYY\n#define DXDG_DXDGYY delg122\n#undef DXDG_DXDGYZ\n#define DXDG_DXDGYZ delg123\n#undef DXDG_DXDGZZ\n#define DXDG_DXDGZZ delg133\n\n/* Internal variables */\n#undef DXDG_PSI4\n#define DXDG_PSI4 dxdg_psi4\n\n#undef DXDG_FAC\n#define DXDG_FAC dxdg_fac\n\n/* Declare internal variables */\nCCTK_REAL DXDG_PSI4;\nCCTK_REAL DXDG_FAC;\n\n/* Declare output variables */\nCCTK_REAL DXDG_DXDGXX;\nCCTK_REAL DXDG_DXDGXY;\nCCTK_REAL DXDG_DXDGXZ;\nCCTK_REAL DXDG_DXDGYY;\nCCTK_REAL DXDG_DXDGYZ;\nCCTK_REAL DXDG_DXDGZZ;\n\n#endif\n\n#endif\n", + "macro/DXDCG_undefine.h": "/*@@\n @header DXDCG_undefine.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n @enddesc\n@@*/\n\n#undef DXDCG_GUTS\n\n\n", + "macro/WAVEG_undefine.h": "/*@@\n @header WAVEG_undefine.h\n @date Nov 98\n @author Gabrielle Allen\n @desc\n Macro to calculate wave operator acting on the metric \n\n That is g^lm g_ij,lm\n\n @enddesc\n@@*/\n\n#undef WAVEG_GUTS\n\n#include \"UPPERMET_undefine.h\"\n#include \"DDG_undefine.h\"\n\n", + "macro/ADM_Spacing_declare.h": "/*@@\n @header ADM_Spacing_declare.h\n @date June 2002\n @author Denis Pollney\n @desc\n Declare various spacing dependent scalars.\n @enddesc\n@@*/\n\n#ifdef FCODE\n\n CCTK_REAL dt, dx, dy, dz\n CCTK_REAL idx, idy, idz\n CCTK_REAL i2dx, i2dy, i2dz\n CCTK_REAL i12dx, i12dy, i12dz\n CCTK_REAL idxx, idxy, idxz, idyy, idyz, idzz\n CCTK_REAL i12dxx, i12dyy, i12dzz\n CCTK_REAL i36dxy, i36dxz, i36dyz\n\n#endif\n\n#ifdef CCODE\n\n CCTK_REAL dt, dx, dy, dz;\n CCTK_REAL idx, idy, idz;\n CCTK_REAL i2dx, i2dy, i2dz;\n CCTK_REAL i12dx, i12dy, i12dz;\n CCTK_REAL idxx, idxy, idxz, idyy, idyz, idzz;\n CCTK_REAL i12dxx, i12dyy, i12dzz;\n CCTK_REAL i36dxy, i36dxz, i36dyz;\n\n#endif\n", + "macro/TRKK_undefine.h": "/*@@\n @header TRKK_undefine.h\n @date Aug 98\n @author Gabrielle Allen\n @desc\n @enddesc\n@@*/\n\n#undef TRKK_GUTS\n\n#include \"UPPERMET_undefine.h\"\n#include \"KK_undefine.h\"\n\n\n \n", + "macro/CDYCDK_guts.h": "/*@@\n @header CDYCDK_guts.h\n @date August 98\n @author Gabrielle Allen\n @desc\n Macro to calculate the first covariant derivatives of the \n extrinsic curvature with respect to x\n @enddesc\n@@*/\n\n#ifndef CDYCDK_GUTS\n#define CDYCDK_GUTS\n\n#include \"DYDK_guts.h\"\n#include \"CHR2_guts.h\"\n\n#ifdef FCODE \n\n CDYCDK_CDYCDKXX = DYDK_DYDKXX - 2D0*(CHR2_XXY*CDYCDK_KXX + \\\n CHR2_YXY*CDYCDK_KXY + CHR2_ZXY*CDYCDK_KXZ)\n\n CDYCDK_CDYCDKYY = DYDK_DYDKYY - 2D0*(CHR2_XYY*CDYCDK_KXY + \\\n CHR2_YYY*CDYCDK_KYY + CHR2_ZYY*CDYCDK_KYZ)\n\n CDYCDK_CDYCDKZZ = DYDK_DYDKZZ - 2D0*(CHR2_XYZ*CDYCDK_KXZ + \\\n CHR2_YYZ*CDYCDK_KYZ + CHR2_ZYZ*CDYCDK_KZZ)\n\n CDYCDK_CDYCDKXY = DYDK_DYDKXY - (CHR2_XYY*CDYCDK_KXX) - \\\n (CHR2_XXY + CHR2_YYY)*CDYCDK_KXY - CHR2_ZYY*CDYCDK_KXZ - \\\n CHR2_YXY*CDYCDK_KYY - CHR2_ZXY*CDYCDK_KYZ\n \n CDYCDK_CDYCDKXZ = DYDK_DYDKXZ - (CHR2_XYZ*CDYCDK_KXX) - \\\n CHR2_YYZ*CDYCDK_KXY - (CHR2_XXY + CHR2_ZYZ)*CDYCDK_KXZ - \\\n CHR2_YXY*CDYCDK_KYZ - CHR2_ZXY*CDYCDK_KZZ\n\n CDYCDK_CDYCDKYZ = DYDK_DYDKYZ -(CHR2_XYZ*CDYCDK_KXY) - \\\n CHR2_XYY*CDYCDK_KXZ - CHR2_YYZ*CDYCDK_KYY - \\\n (CHR2_YYY + CHR2_ZYZ)*CDYCDK_KYZ - CHR2_ZYY*CDYCDK_KZZ\n\n#endif\n\n#ifdef CCODE\n\n CDYCDK_CDYCDKXX = DYDK_DYDKXX - 2.*(CHR2_XXY*CDYCDK_KXX + \n CHR2_YXY*CDYCDK_KXY + CHR2_ZXY*CDYCDK_KXZ);\n\n CDYCDK_CDYCDKYY = DYDK_DYDKYY - 2.*(CHR2_XYY*CDYCDK_KXY + \n CHR2_YYY*CDYCDK_KYY + CHR2_ZYY*CDYCDK_KYZ);\n\n CDYCDK_CDYCDKZZ = DYDK_DYDKZZ - 2.*(CHR2_XYZ*CDYCDK_KXZ + \n CHR2_YYZ*CDYCDK_KYZ + CHR2_ZYZ*CDYCDK_KZZ);\n\n CDYCDK_CDYCDKXY = DYDK_DYDKXY - (CHR2_XYY*CDYCDK_KXX) - \n (CHR2_XXY + CHR2_YYY)*CDYCDK_KXY - CHR2_ZYY*CDYCDK_KXZ - \n CHR2_YXY*CDYCDK_KYY - CHR2_ZXY*CDYCDK_KYZ;\n \n CDYCDK_CDYCDKXZ = DYDK_DYDKXZ - (CHR2_XYZ*CDYCDK_KXX) - \n CHR2_YYZ*CDYCDK_KXY - (CHR2_XXY + CHR2_ZYZ)*CDYCDK_KXZ -\n CHR2_YXY*CDYCDK_KYZ - CHR2_ZXY*CDYCDK_KZZ;\n\n CDYCDK_CDYCDKYZ = DYDK_DYDKYZ -(CHR2_XYZ*CDYCDK_KXY) - \n CHR2_XYY*CDYCDK_KXZ - CHR2_YYZ*CDYCDK_KYY - \n (CHR2_YYY + CHR2_ZYZ)*CDYCDK_KYZ - CHR2_ZYY*CDYCDK_KZZ;\n\n#endif\n\n#endif\n", + "macro/CHR1_guts.h": "/*@@\n @header CHR1_guts.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n Macro to calculate Christoffel symbols of the first kind. \n\n That is CHR1_cab = 1/2 (g_ac,b + gbc,a - gab,c)\n\n @enddesc\n@@*/\n\n#ifndef CHR1_GUTS\n#define CHR1_GUTS\n\n#include \"DG_guts.h\"\n\n#ifdef FCODE \n\n CHR1_XXX = DXDG_DXDGXX*0.5\n CHR1_XXY = DYDG_DYDGXX*0.5\n CHR1_XXZ = DZDG_DZDGXX*0.5\n CHR1_XYY = -DXDG_DXDGYY*0.5 + DYDG_DYDGXY\n CHR1_XYZ = (-DXDG_DXDGYZ + DYDG_DYDGXZ + DZDG_DZDGXY)*0.5\n CHR1_XZZ = -DXDG_DXDGZZ*0.5 + DZDG_DZDGXZ\n CHR1_YXX = DXDG_DXDGXY - DYDG_DYDGXX*0.5\n CHR1_YXY = DXDG_DXDGYY*0.5\n CHR1_YXZ = ( DXDG_DXDGYZ - DYDG_DYDGXZ + DZDG_DZDGXY)*0.5\n CHR1_YYY = DYDG_DYDGYY*0.5\n CHR1_YYZ = DZDG_DZDGYY*0.5\n CHR1_YZZ = -DYDG_DYDGZZ*0.5 + DZDG_DZDGYZ\n CHR1_ZXX = DXDG_DXDGXZ - DZDG_DZDGXX*0.5\n CHR1_ZXY = ( DXDG_DXDGYZ + DYDG_DYDGXZ - DZDG_DZDGXY)*0.5\n CHR1_ZXZ = DXDG_DXDGZZ*0.5\n CHR1_ZYY = DYDG_DYDGYZ - DZDG_DZDGYY*0.5\n CHR1_ZYZ = DYDG_DYDGZZ*0.5\n CHR1_ZZZ = DZDG_DZDGZZ*0.5\n\n#endif\n\n#ifdef CCODE\n\n CHR1_XXX = DXDG_DXDGXX*0.5;\n CHR1_XXY = DYDG_DYDGXX*0.5;\n CHR1_XXZ = DZDG_DZDGXX*0.5;\n CHR1_XYY = -DXDG_DXDGYY*0.5 + DYDG_DYDGXY;\n CHR1_XYZ = (-DXDG_DXDGYZ + DYDG_DYDGXZ + DZDG_DZDGXY)*0.5;\n CHR1_XZZ = -DXDG_DXDGZZ*0.5 + DZDG_DZDGXZ;\n CHR1_YXX = DXDG_DXDGXY - DYDG_DYDGXX*0.5;\n CHR1_YXY = DXDG_DXDGYY*0.5;\n CHR1_YXZ = ( DXDG_DXDGYZ - DYDG_DYDGXZ + DZDG_DZDGXY)*0.5;\n CHR1_YYY = DYDG_DYDGYY*0.5;\n CHR1_YYZ = DZDG_DZDGYY*0.5;\n CHR1_YZZ = -DYDG_DYDGZZ*0.5 + DZDG_DZDGYZ;\n CHR1_ZXX = DXDG_DXDGXZ - DZDG_DZDGXX*0.5;\n CHR1_ZXY = ( DXDG_DXDGYZ + DYDG_DYDGXZ - DZDG_DZDGXY)*0.5;\n CHR1_ZXZ = DXDG_DXDGZZ*0.5;\n CHR1_ZYY = DYDG_DYDGYZ - DZDG_DZDGYY*0.5;\n CHR1_ZYZ = DYDG_DYDGZZ*0.5;\n CHR1_ZZZ = DZDG_DZDGZZ*0.5;\n\n#endif\n\n#endif\n\n", + "macro/DXDB_undefine.h": "/*@@\n @header DXDB_undefine.h\n @date Jul 98\n @author Gabrielle Allen\n @desc\n @enddesc\n@@*/\n\n#undef DXDB_GUTS\n\n\n", + "macro/DDG_declare.h": "/*@@\n @header DDG_declare.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n\n Declarations for macro to calculate all the second (and first)\n derivatives of the physical metric with respect to x, y, z using the \n subsidary macros @seefile D??DG_guts.h and D?DG_guts.h\n\n Calls the macros @seefile D??DG_declare.h which in turn call\n @seefile D?DG_declare.h\n\n @enddesc\n@@*/\n\n#ifndef DDG_DECLARE\n#define DDG_DECLARE\n\n#include \"DXXDG_declare.h\"\n#include \"DXYDG_declare.h\"\n#include \"DXZDG_declare.h\"\n#include \"DYYDG_declare.h\"\n#include \"DYZDG_declare.h\"\n#include \"DZZDG_declare.h\"\n\n#undef DDG_DXXDGXX\n#define DDG_DXXDGXX DXXDG_DXXDGXX\n#undef DDG_DXYDGXX\n#define DDG_DXYDGXX DXYDG_DXYDGXX\n#undef DDG_DXZDGXX\n#define DDG_DXZDGXX DXZDG_DXZDGXX\n#undef DDG_DYYDGXX\n#define DDG_DYYDGXX DYYDG_DYYDGXX\n#undef DDG_DYZDGXX\n#define DDG_DYZDGXX DYZDG_DYZDGXX\n#undef DDG_DZZDGXX\n#define DDG_DZZDGXX DZZDG_DZZDGXX\n\n#undef DDG_DXXDGXY\n#define DDG_DXXDGXY DXXDG_DXXDGXY\n#undef DDG_DXYDGXY\n#define DDG_DXYDGXY DXYDG_DXYDGXY\n#undef DDG_DXZDGXY\n#define DDG_DXZDGXY DXZDG_DXZDGXY\n#undef DDG_DYYDGXY\n#define DDG_DYYDGXY DYYDG_DYYDGXY\n#undef DDG_DYZDGXY\n#define DDG_DYZDGXY DYZDG_DYZDGXY\n#undef DDG_DZZDGXY\n#define DDG_DZZDGXY DZZDG_DZZDGXY\n\n#undef DDG_DXXDGXZ\n#define DDG_DXXDGXZ DXXDG_DXXDGXZ\n#undef DDG_DXYDGXZ\n#define DDG_DXYDGXZ DXYDG_DXYDGXZ\n#undef DDG_DXZDGXZ\n#define DDG_DXZDGXZ DXZDG_DXZDGXZ\n#undef DDG_DYYDGXZ\n#define DDG_DYYDGXZ DYYDG_DYYDGXZ\n#undef DDG_DYZDGXZ\n#define DDG_DYZDGXZ DYZDG_DYZDGXZ\n#undef DDG_DZZDGXZ\n#define DDG_DZZDGXZ DZZDG_DZZDGXZ\n\n#undef DDG_DXXDGYY\n#define DDG_DXXDGYY DXXDG_DXXDGYY\n#undef DDG_DXYDGYY\n#define DDG_DXYDGYY DXYDG_DXYDGYY\n#undef DDG_DXZDGYY\n#define DDG_DXZDGYY DXZDG_DXZDGYY\n#undef DDG_DYYDGYY\n#define DDG_DYYDGYY DYYDG_DYYDGYY\n#undef DDG_DYZDGYY\n#define DDG_DYZDGYY DYZDG_DYZDGYY\n#undef DDG_DZZDGYY\n#define DDG_DZZDGYY DZZDG_DZZDGYY\n\n#undef DDG_DXXDGYZ\n#define DDG_DXXDGYZ DXXDG_DXXDGYZ\n#undef DDG_DXYDGYZ\n#define DDG_DXYDGYZ DXYDG_DXYDGYZ\n#undef DDG_DXZDGYZ\n#define DDG_DXZDGYZ DXZDG_DXZDGYZ\n#undef DDG_DYYDGYZ\n#define DDG_DYYDGYZ DYYDG_DYYDGYZ\n#undef DDG_DYZDGYZ\n#define DDG_DYZDGYZ DYZDG_DYZDGYZ\n#undef DDG_DZZDGYZ\n#define DDG_DZZDGYZ DZZDG_DZZDGYZ\n\n#undef DDG_DXXDGZZ\n#define DDG_DXXDGZZ DXXDG_DXXDGZZ\n#undef DDG_DXYDGZZ\n#define DDG_DXYDGZZ DXYDG_DXYDGZZ\n#undef DDG_DXZDGZZ\n#define DDG_DXZDGZZ DXZDG_DXZDGZZ\n#undef DDG_DYYDGZZ\n#define DDG_DYYDGZZ DYYDG_DYYDGZZ\n#undef DDG_DYZDGZZ\n#define DDG_DYZDGZZ DYZDG_DYZDGZZ\n#undef DDG_DZZDGZZ\n#define DDG_DZZDGZZ DZZDG_DZZDGZZ\n\n#endif\n", + "macro/DYYDG_undefine.h": "/*@@\n @header DYYDG_undefine.h\n @date Jul 98\n @author Gabrielle Allen\n @desc\n @enddesc\n@@*/\n\n#undef DYYDG_GUTS\n\n#include \"DYDG_undefine.h\"\n\n\n", + "macro/DXYDG_declare.h": "/*@@\n @header DXYDG_declare.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n Declaration for macro to calculate the (first and) second derivatives \n of the physical metric with respect to x,y\n\n The macro uses @seefile DXDG_guts.h , @seefile DYDG_guts.h and \n @seefile DXDG_declare.h , @seefile DYDG_declare.h\n @enddesc\n@@*/\n\n#ifndef DXYDG_DECLARE\n#define DXYDG_DECLARE\n\n#include \"DXDG_declare.h\"\n#include \"DYDG_declare.h\"\n\n#ifdef FCODE\n\n/* Input variables */\n#undef DXYDG_GXX_IPJP \n#define DXYDG_GXX_IPJP gxx(i+1,j+1,k)\n#undef DXYDG_GXX_IPJM \n#define DXYDG_GXX_IPJM gxx(i+1,j-1,k)\n#undef DXYDG_GXX_IMJP \n#define DXYDG_GXX_IMJP gxx(i-1,j+1,k)\n#undef DXYDG_GXX_IMJM \n#define DXYDG_GXX_IMJM gxx(i-1,j-1,k)\n\n#undef DXYDG_GXY_IPJP \n#define DXYDG_GXY_IPJP gxy(i+1,j+1,k)\n#undef DXYDG_GXY_IPJM \n#define DXYDG_GXY_IPJM gxy(i+1,j-1,k)\n#undef DXYDG_GXY_IMJP \n#define DXYDG_GXY_IMJP gxy(i-1,j+1,k)\n#undef DXYDG_GXY_IMJM \n#define DXYDG_GXY_IMJM gxy(i-1,j-1,k)\n\n#undef DXYDG_GXZ_IPJP \n#define DXYDG_GXZ_IPJP gxz(i+1,j+1,k)\n#undef DXYDG_GXZ_IPJM \n#define DXYDG_GXZ_IPJM gxz(i+1,j-1,k)\n#undef DXYDG_GXZ_IMJP \n#define DXYDG_GXZ_IMJP gxz(i-1,j+1,k)\n#undef DXYDG_GXZ_IMJM \n#define DXYDG_GXZ_IMJM gxz(i-1,j-1,k)\n\n#undef DXYDG_GYY_IPJP \n#define DXYDG_GYY_IPJP gyy(i+1,j+1,k)\n#undef DXYDG_GYY_IPJM \n#define DXYDG_GYY_IPJM gyy(i+1,j-1,k)\n#undef DXYDG_GYY_IMJP \n#define DXYDG_GYY_IMJP gyy(i-1,j+1,k)\n#undef DXYDG_GYY_IMJM \n#define DXYDG_GYY_IMJM gyy(i-1,j-1,k)\n\n#undef DXYDG_GYZ_IPJP \n#define DXYDG_GYZ_IPJP gyz(i+1,j+1,k)\n#undef DXYDG_GYZ_IPJM \n#define DXYDG_GYZ_IPJM gyz(i+1,j-1,k)\n#undef DXYDG_GYZ_IMJP \n#define DXYDG_GYZ_IMJP gyz(i-1,j+1,k)\n#undef DXYDG_GYZ_IMJM \n#define DXYDG_GYZ_IMJM gyz(i-1,j-1,k)\n\n#undef DXYDG_GZZ_IPJP \n#define DXYDG_GZZ_IPJP gzz(i+1,j+1,k)\n#undef DXYDG_GZZ_IPJM \n#define DXYDG_GZZ_IPJM gzz(i+1,j-1,k)\n#undef DXYDG_GZZ_IMJP \n#define DXYDG_GZZ_IMJP gzz(i-1,j+1,k)\n#undef DXYDG_GZZ_IMJM \n#define DXYDG_GZZ_IMJM gzz(i-1,j-1,k)\n\n/* Output variables */\n#undef DXYDG_DXYDGXX\n#define DXYDG_DXYDGXX deldelg1211\n#undef DXYDG_DXYDGXY\n#define DXYDG_DXYDGXY deldelg1212\n#undef DXYDG_DXYDGXZ\n#define DXYDG_DXYDGXZ deldelg1213\n#undef DXYDG_DXYDGYY\n#define DXYDG_DXYDGYY deldelg1222\n#undef DXYDG_DXYDGYZ\n#define DXYDG_DXYDGYZ deldelg1223\n#undef DXYDG_DXYDGZZ\n#define DXYDG_DXYDGZZ deldelg1233\n\n/* Internal variables */\n#undef DXYDG_FAC \n#define DXYDG_FAC dxydg_fac\n#undef DXYDG_OO4DXDY\n#define DXYDG_OO4DXDY dxydg_oo4dxdy\n#undef DXYDG_DXYDPSI_O_PSI\n#define DXYDG_DXYDPSI_O_PSI 0.\n\n/* Declare internal variables */\n CCTK_REAL DXYDG_FAC\n CCTK_REAL DXYDG_OO4DXDY \n\n/* Declare output variables */\n CCTK_REAL DXYDG_DXYDGXX\n CCTK_REAL DXYDG_DXYDGXY\n CCTK_REAL DXYDG_DXYDGXZ\n CCTK_REAL DXYDG_DXYDGYY\n CCTK_REAL DXYDG_DXYDGYZ\n CCTK_REAL DXYDG_DXYDGZZ\n\n#endif\n\n#ifdef CCODE\n\n/* Input variables */\n#undef DXYDG_GXX_IPJP \n#define DXYDG_GXX_IPJP gxx[ di + dj + ijk]\n#undef DXYDG_GXX_IPJM \n#define DXYDG_GXX_IPJM gxx[ di - dj + ijk]\n#undef DXYDG_GXX_IMJP \n#define DXYDG_GXX_IMJP gxx[-di + dj + ijk]\n#undef DXYDG_GXX_IMJM \n#define DXYDG_GXX_IMJM gxx[-di - dj + ijk]\n\n#undef DXYDG_GXY_IPJP \n#define DXYDG_GXY_IPJP gxy[ di + dj + ijk]\n#undef DXYDG_GXY_IPJM \n#define DXYDG_GXY_IPJM gxy[ di - dj + ijk]\n#undef DXYDG_GXY_IMJP \n#define DXYDG_GXY_IMJP gxy[-di + dj + ijk]\n#undef DXYDG_GXY_IMJM \n#define DXYDG_GXY_IMJM gxy[-di - dj + ijk]\n\n#undef DXYDG_GXZ_IPJP \n#define DXYDG_GXZ_IPJP gxz[ di + dj + ijk]\n#undef DXYDG_GXZ_IPJM \n#define DXYDG_GXZ_IPJM gxz[ di - dj + ijk]\n#undef DXYDG_GXZ_IMJP \n#define DXYDG_GXZ_IMJP gxz[-di + dj + ijk]\n#undef DXYDG_GXZ_IMJM \n#define DXYDG_GXZ_IMJM gxz[-di - dj + ijk]\n\n#undef DXYDG_GYY_IPJP \n#define DXYDG_GYY_IPJP gyy[ di + dj + ijk]\n#undef DXYDG_GYY_IPJM \n#define DXYDG_GYY_IPJM gyy[ di - dj + ijk]\n#undef DXYDG_GYY_IMJP \n#define DXYDG_GYY_IMJP gyy[-di + dj + ijk]\n#undef DXYDG_GYY_IMJM \n#define DXYDG_GYY_IMJM gyy[-di - dj + ijk]\n\n#undef DXYDG_GYZ_IPJP \n#define DXYDG_GYZ_IPJP gyz[ di + dj + ijk]\n#undef DXYDG_GYZ_IPJM \n#define DXYDG_GYZ_IPJM gyz[ di - dj + ijk]\n#undef DXYDG_GYZ_IMJP \n#define DXYDG_GYZ_IMJP gyz[-di + dj + ijk]\n#undef DXYDG_GYZ_IMJM \n#define DXYDG_GYZ_IMJM gyz[-di - dj + ijk]\n\n#undef DXYDG_GZZ_IPJP \n#define DXYDG_GZZ_IPJP gzz[ di + dj + ijk]\n#undef DXYDG_GZZ_IPJM \n#define DXYDG_GZZ_IPJM gzz[ di - dj + ijk]\n#undef DXYDG_GZZ_IMJP \n#define DXYDG_GZZ_IMJP gzz[-di + dj + ijk]\n#undef DXYDG_GZZ_IMJM \n#define DXYDG_GZZ_IMJM gzz[-di - dj + ijk]\n\n/* Output variables */\n#undef DXYDG_DXYDGXX\n#define DXYDG_DXYDGXX deldelg1211\n#undef DXYDG_DXYDGXY\n#define DXYDG_DXYDGXY deldelg1212\n#undef DXYDG_DXYDGXZ\n#define DXYDG_DXYDGXZ deldelg1213\n#undef DXYDG_DXYDGYY\n#define DXYDG_DXYDGYY deldelg1222\n#undef DXYDG_DXYDGYZ\n#define DXYDG_DXYDGYZ deldelg1223\n#undef DXYDG_DXYDGZZ\n#define DXYDG_DXYDGZZ deldelg1233\n\n/* Internal variables */\n#undef DXYDG_FAC \n#define DXYDG_FAC dxydg_fac\n#undef DXYDG_OO4DXDY\n#define DXYDG_OO4DXDY dxydg_oo4dxdy\n#undef DXYDG_DXYDPSI_O_PSI\n#define DXYDG_DXYDPSI_O_PSI 0.\n\n/* Declare internal variables */\nCCTK_REAL DXYDG_FAC;\nCCTK_REAL DXYDG_OO4DXDY = 1/(4*cctkGH->cctk_delta_space[0]*cctkGH->cctk_delta_space[1]);\n\n/* Declare output variables */\nCCTK_REAL DXYDG_DXYDGXX;\nCCTK_REAL DXYDG_DXYDGXY;\nCCTK_REAL DXYDG_DXYDGXZ;\nCCTK_REAL DXYDG_DXYDGYY;\nCCTK_REAL DXYDG_DXYDGYZ;\nCCTK_REAL DXYDG_DXYDGZZ;\n\n#endif\n\n#endif\n", + "macro/MOMXADM_declare.h": "/*@@\n @header MOMXADM_declare.h\n @date Aug 98\n @author Gabrielle Allen\n @desc\n Declarations for macro to calculate vacuum part of \n x-Momentum constraint\n \n @enddesc\n@@*/\n\n#ifndef MOMXADM_DECLARE\n#define MOMXADM_DECLARE\n\n#include \"UPPERMET_declare.h\"\n#include \"CDK_declare.h\"\n\n#ifdef FCODE\n\n/* Output variables */ \n#undef MOMXADM_MOMXADM\n#define MOMXADM_MOMXADM momxadm_momxadm\n\n/* Declare output variables */\n CCTK_REAL MOMXADM_MOMXADM\n\n#endif\n\n\n#ifdef CCODE\n\n/* Output variables */\n#undef MOMXADM_MOMXADM\n#define MOMXADM_MOMXADM momxadm_momxadm\n\n/* Declare output variables */\n CCTK_REAL MOMXADM_MOMXADM;\n\n#endif\n\n#endif\n", + "macro/DXDCG_declare.h": "/*@@\n @header DXDCG_declare.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n Declarations for macro @seefile DXDCG_guts.h to compute first \n derivatives of the conformal metric with respect to x\n\n Requires: Conformal lower metric at i+1,i-1 ; dx\n\n Provides: Derivative of conformal lower metric wrt x\n @enddesc\n@@*/\n\n#ifndef DXDCG_DECLARE\n#define DXDCG_DECLARE\n\n#ifdef FCODE\n\n/* Input variables */\n#undef DXDCG_GXX_IP \n#define DXDCG_GXX_IP gxx(i+1,j,k)\n#undef DXDCG_GXX_IM\n#define DXDCG_GXX_IM gxx(i-1,j,k)\n#undef DXDCG_GXY_IP \n#define DXDCG_GXY_IP gxy(i+1,j,k)\n#undef DXDCG_GXY_IM \n#define DXDCG_GXY_IM gxy(i-1,j,k)\n#undef DXDCG_GXZ_IP \n#define DXDCG_GXZ_IP gxz(i+1,j,k)\n#undef DXDCG_GXZ_IM\n#define DXDCG_GXZ_IM gxz(i-1,j,k)\n#undef DXDCG_GYY_IP \n#define DXDCG_GYY_IP gyy(i+1,j,k)\n#undef DXDCG_GYY_IM \n#define DXDCG_GYY_IM gyy(i-1,j,k)\n#undef DXDCG_GYZ_IP \n#define DXDCG_GYZ_IP gyz(i+1,j,k)\n#undef DXDCG_GYZ_IM \n#define DXDCG_GYZ_IM gyz(i-1,j,k)\n#undef DXDCG_GZZ_IP \n#define DXDCG_GZZ_IP gzz(i+1,j,k)\n#undef DXDCG_GZZ_IM\n#define DXDCG_GZZ_IM gzz(i-1,j,k)\n\n/* Output variables */ \n#undef DXDCG_DXDCGXX\n#define DXDCG_DXDCGXX delgb111\n#undef DXDCG_DXDCGXY\n#define DXDCG_DXDCGXY delgb112\n#undef DXDCG_DXDCGXZ\n#define DXDCG_DXDCGXZ delgb113\n#undef DXDCG_DXDCGYY\n#define DXDCG_DXDCGYY delgb122\n#undef DXDCG_DXDCGYZ\n#define DXDCG_DXDCGYZ delgb123\n#undef DXDCG_DXDCGZZ\n#define DXDCG_DXDCGZZ delgb133\n\n/* Internal variables */\n#undef DXDCG_DX \n#define DXDCG_DX dx\n#undef DXDCG_OO2DX \n#define DXDCG_OO2DX cdxdg_oo2dx\n\n/* Declare internal variables */\n CCTK_REAL DXDCG_OO2DX\n\n/* Declare output variables */\n CCTK_REAL DXDCG_DXDCGXX\n CCTK_REAL DXDCG_DXDCGXY\n CCTK_REAL DXDCG_DXDCGXZ\n CCTK_REAL DXDCG_DXDCGYY\n CCTK_REAL DXDCG_DXDCGYZ\n CCTK_REAL DXDCG_DXDCGZZ\n\n#endif\n\n\n#ifdef CCODE\n\n/* Input variables */\n#undef DXDCG_GXX_IP \n#define DXDCG_GXX_IP gxx[ di+ijk]\n#undef DXDCG_GXX_IM\n#define DXDCG_GXX_IM gxx[-di+ijk]\n#undef DXDCG_GXY_IP \n#define DXDCG_GXY_IP gxy[ di+ijk]\n#undef DXDCG_GXY_IM \n#define DXDCG_GXY_IM gxy[-di+ijk]\n#undef DXDCG_GXZ_IP \n#define DXDCG_GXZ_IP gxz[ di+ijk]\n#undef DXDCG_GXZ_IM\n#define DXDCG_GXZ_IM gxz[-di+ijk]\n#undef DXDCG_GYY_IP \n#define DXDCG_GYY_IP gyy[ di+ijk]\n#undef DXDCG_GYY_IM \n#define DXDCG_GYY_IM gyy[-di+ijk]\n#undef DXDCG_GYZ_IP \n#define DXDCG_GYZ_IP gyz[ di+ijk]\n#undef DXDCG_GYZ_IM \n#define DXDCG_GYZ_IM gyz[-di+ijk]\n#undef DXDCG_GZZ_IP \n#define DXDCG_GZZ_IP gzz[ di+ijk]\n#undef DXDCG_GZZ_IM\n#define DXDCG_GZZ_IM gzz[-di+ijk]\n\n/* Output variables */ \n#undef DXDCG_DXDCGXX\n#define DXDCG_DXDCGXX delgb111\n#undef DXDCG_DXDCGXY\n#define DXDCG_DXDCGXY delgb112\n#undef DXDCG_DXDCGXZ\n#define DXDCG_DXDCGXZ delgb113\n#undef DXDCG_DXDCGYY\n#define DXDCG_DXDCGYY delgb122\n#undef DXDCG_DXDCGYZ\n#define DXDCG_DXDCGYZ delgb123\n#undef DXDCG_DXDCGZZ\n#define DXDCG_DXDCGZZ delgb133\n\n/* Internal variables */\n#undef DXDCG_OO2DX \n#define DXDCG_OO2DX cdxdg_oo2dx\n\n/* Declare internal variables */\nCCTK_REAL DXDCG_OO2DX;\n\n/* Declare output variables */\nCCTK_REAL DXDCG_DXDCGXX;\nCCTK_REAL DXDCG_DXDCGXY;\nCCTK_REAL DXDCG_DXDCGXZ;\nCCTK_REAL DXDCG_DXDCGYY;\nCCTK_REAL DXDCG_DXDCGYZ;\nCCTK_REAL DXDCG_DXDCGZZ;\n\n#endif\n\n#endif\n", + "macro/TRK_undefine.h": "/*@@\n @header TRK_undefine.h\n @date Jul 98\n @author Gabrielle Allen\n @desc\n @enddesc\n@@*/\n\n#undef TRK_GUTS\n\n#include \"UPPERMET_undefine.h\"\n\n\n \n", + "macro/DA_declare.h": "/*@@\n @header DA_declare.h\n @date Jul 98\n @author Gabrielle Allen\n @desc\n Declarations for macro @seefile DA_guts.h to compute first \n spatial derivatives of the lapse\n @enddesc\n@@*/\n\n#ifndef DA_DECLARE\n#define DA_DECLARE\n\n#ifdef FCODE\n\n/* Input variables */\n#undef DA_A_IP \n#define DA_A_IP alp(i+1,j,k)\n#undef DA_A_IM\n#define DA_A_IM alp(i-1,j,k)\n#undef DA_A_JP \n#define DA_A_JP alp(i,j+1,k)\n#undef DA_A_JM \n#define DA_A_JM alp(i,j-1,k)\n#undef DA_A_KP \n#define DA_A_KP alp(i,j,k+1)\n#undef DA_A_KM\n#define DA_A_KM alp(i,j,k-1)\n\n/* Output variables */ \n#undef DA_DXDA\n#define DA_DXDA da_dxda\n#undef DA_DYDA\n#define DA_DYDA da_dyda\n#undef DA_DZDA\n#define DA_DZDA da_dzda\n\n/* Internal variables */\n#undef DA_OO2DX \n#define DA_OO2DX da_oo2dx\n#undef DA_OO2DY \n#define DA_OO2DY da_oo2dy\n#undef DA_OO2DZ \n#define DA_OO2DZ da_oo2dz\n#undef DA_DX \n#define DA_DX dx\n#undef DA_DY \n#define DA_DY dy\n#undef DA_DZ \n#define DA_DZ dz\n\n/* Declare internal variables */\n CCTK_REAL DA_OO2DX\n CCTK_REAL DA_OO2DY\n CCTK_REAL DA_OO2DZ\n\n/* Declare output variables */\n CCTK_REAL DA_DXDA\n CCTK_REAL DA_DYDA\n CCTK_REAL DA_DZDA\n\n#endif\n\n\n#ifdef CCODE\n\n/* Input variables */\n#undef DA_A_IP \n#define DA_A_IP alp[ di + ijk]\n#undef DA_A_IM\n#define DA_A_IM alp[-di + ijk]\n#undef DA_A_JP \n#define DA_A_JP alp[ dj + ijk]\n#undef DA_A_JM \n#define DA_A_JM alp[-dj + ijk]\n#undef DA_A_KP \n#define DA_A_KP alp[ dk + ijk]\n#undef DA_A_KM\n#define DA_A_KM alp[-dk + ijk]\n\n/* Output variables */ \n#undef DA_DXDA\n#define DA_DXDA da_dxda\n#undef DA_DYDA\n#define DA_DYDA da_dyda\n#undef DA_DZDA\n#define DA_DZDA da_dzda\n\n/* Internal variables */\n#undef DA_OO2DX \n#define DA_OO2DX da_oo2dx\n#undef DA_OO2DY \n#define DA_OO2DY da_oo2dy\n#undef DA_OO2DZ \n#define DA_OO2DZ da_oo2dz\n#undef DA_DX \n#define DA_DX cctkGH->cctk_delta_space[0]\n#undef DA_DY \n#define DA_DY cctkGH->cctk_delta_space[1]\n#undef DA_DZ \n#define DA_DZ cctkGH->cctk_delta_space[2]\n\n/* Declare internal variables */\n CCTK_REAL DA_OO2DX;\n CCTK_REAL DA_OO2DY;\n CCTK_REAL DA_OO2DZ;\n\n/* Declare output variables */\n CCTK_REAL DA_DXDA;\n CCTK_REAL DA_DYDA;\n CCTK_REAL DA_DZDA;\n\n#endif\n\n#endif\n", + "macro/DYDB_declare.h": "/*@@\n @header DYDB_declare.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n Declarations for macro @seefile DYDB_guts.h to compute first \n derivatives of the shift with respect to y\n @enddesc\n@@*/\n\n#ifndef DYDB_DECLARE\n#define DYDB_DECLARE\n\n#ifdef FCODE\n\n/* Input variables */\n#undef DYDB_BX\n#define DYDB_BX betax(i,j,k)\n#undef DYDB_BY\n#define DYDB_BY betay(i,j,k)\n#undef DYDB_BZ\n#define DYDB_BZ betaz(i,j,k)\n#undef DYDB_BX_JP \n#define DYDB_BX_JP betax(i,j+1,k)\n#undef DYDB_BX_JPP \n#define DYDB_BX_JPP betax(i,j+2,k)\n#undef DYDB_BX_JM\n#define DYDB_BX_JM betax(i,j-1,k)\n#undef DYDB_BX_JMM\n#define DYDB_BX_JMM betax(i,j-2,k)\n#undef DYDB_BY_JP \n#define DYDB_BY_JP betay(i,j+1,k)\n#undef DYDB_BY_JPP \n#define DYDB_BY_JPP betay(i,j+2,k)\n#undef DYDB_BY_JM \n#define DYDB_BY_JM betay(i,j-1,k)\n#undef DYDB_BY_JMM \n#define DYDB_BY_JMM betay(i,j-2,k)\n#undef DYDB_BZ_JP \n#define DYDB_BZ_JP betaz(i,j+1,k)\n#undef DYDB_BZ_JPP \n#define DYDB_BZ_JPP betaz(i,j+2,k)\n#undef DYDB_BZ_JM\n#define DYDB_BZ_JM betaz(i,j-1,k)\n#undef DYDB_BZ_JMM\n#define DYDB_BZ_JMM betaz(i,j-2,k)\n\n/* Output variables */ \n#undef DYDB_DYDBX\n#define DYDB_DYDBX dydb_dydbx\n#undef DYDB_DYDBY\n#define DYDB_DYDBY dydb_dydby\n#undef DYDB_DYDBZ\n#define DYDB_DYDBZ dydb_dydbz\n\n/* Internal variables */\n#undef DYDB_DY\n#define DYDB_DY dy\n#undef DYDB_OO2DY \n#define DYDB_OO2DY dydb_oo2dy\n\n/* Declare internal variables */\n CCTK_REAL DYDB_OO2DY\n\n/* Declare output variables */\n CCTK_REAL DYDB_DYDBX\n CCTK_REAL DYDB_DYDBY\n CCTK_REAL DYDB_DYDBZ\n\n#endif\n\n#ifdef CCODE\n\n/* Input variables */\n#undef DYDB_BX_JP \n#define DYDB_BX_JP betax[ dj+ijk]\n#undef DYDB_BX_JM\n#define DYDB_BX_JM betax[-dj+ijk]\n#undef DYDB_BY_JP \n#define DYDB_BY_JP betay[ dj+ijk]\n#undef DYDB_BY_JM \n#define DYDB_BY_JM betay[-dj+ijk]\n#undef DYDB_BZ_JP \n#define DYDB_BZ_JP betaz[ dj+ijk]\n#undef DYDB_BZ_JM\n#define DYDB_BZ_JM betaz[-dj+ijk]\n\n/* Output variables */ \n#undef DYDB_DYDBX\n#define DYDB_DYDBX delbeta21\n#undef DYDB_DYDBY\n#define DYDB_DYDBY delbeta22\n#undef DYDB_DYDBZ\n#define DYDB_DYDBZ delbeta23\n\n/* Internal variables */\n#undef DYDB_OO2DY \n#define DYDB_OO2DY dydb_oo2dy\n\n/* Declare internal variables */\nCCTK_REAL DYDB_OO2DY;\n\n/* Declare output variables */\nCCTK_REAL DYDB_DYDBX;\nCCTK_REAL DYDB_DYDBY;\nCCTK_REAL DYDB_DYDBZ;\n\n#endif\n\n#endif\n", + "macro/TRRICCI_declare.h": "/*@@\n @header TRRICCI_guts.h\n @date Aug 98\n @author Gabrielle Allen\n @desc\n\n Declarations for macro to calculate the trace of 3-Ricci tensor\n\n @enddesc\n@@*/\n\n#ifndef TRRICCI_DECLARE\n#define TRRICCI_DECLARE\n\n#include \"UPPERMET_declare.h\"\n#include \"RICCI_declare.h\"\n\n#ifdef FCODE\n\n/* Input variables */\n\n/* Output variables */\n#undef TRRICCI_TRRICCI\n#define TRRICCI_TRRICCI trricci_trricci\n\n/* Declare output variables */\n CCTK_REAL TRRICCI_TRRICCI\n\n#endif\n\n#ifdef CCODE\n\n/* Input variables */\n\n/* Output variables */\n#undef TRRICCI_TRRICCI\n#define TRRICCI_TRRICCI trricci_trricci\n\n/* Declare output variables */\nCCTK_REAL TRRICCI_TRRICCI;\n\n#endif\n\n#endif\n", + "macro/DB_declare.h": "/*@@\n @header DB_declare.h\n @date Jul 98\n @author Gabrielle Allen\n @desc\n\n Declarations for macro to calculate all the first derivatives of the \n shift vector with respect to x, y, z using the subsidary macros\n @seefile DXDB_guts.h @seefile DYDB_guts.h and @seefile DZDB_guts.h.\n\n Calls the macros @seefile DXDB_declare.h @seefile DYDB_declare.h\n and @seefile DZDB_declare.h.\n\n @enddesc\n@@*/\n\n#ifndef DB_DECLARE\n#define DB_DECLARE\n\n#include \"DXDB_declare.h\"\n#include \"DYDB_declare.h\"\n#include \"DZDB_declare.h\"\n\n#endif\n", + "macro/DZDK_guts.h": "/*@@\n @header DZDG_guts.h\n @date Jul 98\n @author Gabrielle Allen\n @desc\n Macro to calculate the first derivatives of the \n extrinsic with respect to z\n @enddesc\n@@*/\n\n#ifndef DZDK_GUTS\n#define DZDK_GUTS\n\n#ifdef FCODE \n\n#include \"ADM_Derivative.h\"\n \n if (local_spatial_order.eq.2) then \n DZDK_DZDKXX = ADM_DZ_2(kxx,i,j,k)\n DZDK_DZDKXY = ADM_DZ_2(kxy,i,j,k)\n DZDK_DZDKXZ = ADM_DZ_2(kxz,i,j,k)\n DZDK_DZDKYY = ADM_DZ_2(kyy,i,j,k)\n DZDK_DZDKYZ = ADM_DZ_2(kyz,i,j,k)\n DZDK_DZDKZZ = ADM_DZ_2(kzz,i,j,k)\n else\n DZDK_DZDKXX = ADM_DZ_4(kxx,i,j,k)\n DZDK_DZDKXY = ADM_DZ_4(kxy,i,j,k)\n DZDK_DZDKXZ = ADM_DZ_4(kxz,i,j,k)\n DZDK_DZDKYY = ADM_DZ_4(kyy,i,j,k)\n DZDK_DZDKYZ = ADM_DZ_4(kyz,i,j,k)\n DZDK_DZDKZZ = ADM_DZ_4(kzz,i,j,k)\n end if\n#endif\n\n#ifdef CCODE\n\n DZDK_OO2DZ = 1/(2*cctkGH->cctk_delta_space[2]);\n \n DZDK_DZDKXX = DZDK_OO2DZ*(DZDK_KXX_KP - DZDK_KXX_KM);\n DZDK_DZDKXY = DZDK_OO2DZ*(DZDK_KXY_KP - DZDK_KXY_KM);\n DZDK_DZDKXZ = DZDK_OO2DZ*(DZDK_KXZ_KP - DZDK_KXZ_KM);\n DZDK_DZDKYY = DZDK_OO2DZ*(DZDK_KYY_KP - DZDK_KYY_KM);\n DZDK_DZDKYZ = DZDK_OO2DZ*(DZDK_KYZ_KP - DZDK_KYZ_KM);\n DZDK_DZDKZZ = DZDK_OO2DZ*(DZDK_KZZ_KP - DZDK_KZZ_KM);\n\n#endif\n\n#endif\n", + "macro/DXXDG_undefine.h": "/*@@\n @header DXXDG_undefine.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n @enddesc\n@@*/\n\n#undef DXXDG_GUTS\n\n#include \"DXDG_undefine.h\"\n", + "macro/DZDCG_guts.h": "/*@@\n @header DZDCG_guts.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n Macro to calculate the first derivatives of the \n conformal metric with respect to z\n\n The macro is defined in terms of standard variables in\n\n Requires: lower conformal metric at k+1,k-1 ; dz0\n\n Provides: derivative of lower conformal metric wrt z\n\n @seefile DZDCG_declare.h\n @enddesc\n@@*/\n\n#ifndef DZDCG_GUTS\n#define DZDCG_GUTS\n\n#ifdef FCODE \n\n#include \"ADM_Derivative.h\"\n if (local_spatial_order.eq.2) then \n DZDCG_DZDCGXX = ADM_DZ_2(gxx,i,j,k)\n DZDCG_DZDCGXY = ADM_DZ_2(gxy,i,j,k)\n DZDCG_DZDCGXZ = ADM_DZ_2(gxz,i,j,k)\n DZDCG_DZDCGYY = ADM_DZ_2(gyy,i,j,k)\n DZDCG_DZDCGYZ = ADM_DZ_2(gyz,i,j,k)\n DZDCG_DZDCGZZ = ADM_DZ_2(gzz,i,j,k)\n else\n DZDCG_DZDCGXX = ADM_DZ_4(gxx,i,j,k)\n DZDCG_DZDCGXY = ADM_DZ_4(gxy,i,j,k)\n DZDCG_DZDCGXZ = ADM_DZ_4(gxz,i,j,k)\n DZDCG_DZDCGYY = ADM_DZ_4(gyy,i,j,k)\n DZDCG_DZDCGYZ = ADM_DZ_4(gyz,i,j,k)\n DZDCG_DZDCGZZ = ADM_DZ_4(gzz,i,j,k)\n end if\n#endif\n\n#ifdef CCODE\n\n DZDCG_OO2DZ = 1/(2*cctkGH->cctk_delta_space[2]);\n \n DZDCG_DZDCGXX = DZDCG_OO2DZ*(DZDCG_GXX_KP - DZDCG_GXX_KM);\n DZDCG_DZDCGXY = DZDCG_OO2DZ*(DZDCG_GXY_KP - DZDCG_GXY_KM);\n DZDCG_DZDCGXZ = DZDCG_OO2DZ*(DZDCG_GXZ_KP - DZDCG_GXZ_KM);\n DZDCG_DZDCGYY = DZDCG_OO2DZ*(DZDCG_GYY_KP - DZDCG_GYY_KM);\n DZDCG_DZDCGYZ = DZDCG_OO2DZ*(DZDCG_GYZ_KP - DZDCG_GYZ_KM);\n DZDCG_DZDCGZZ = DZDCG_OO2DZ*(DZDCG_GZZ_KP - DZDCG_GZZ_KM);\n\n#endif\n\n#endif\n", + "macro/CDZCDK_undefine.h": "/*@@\n @header CDZCDK_undefine.h\n @date Aug 98\n @author Gabrielle Allen\n @desc\n @enddesc\n@@*/\n\n#undef CDZCDK_GUTS\n\n#include \"DZDK_undefine.h\"\n#include \"CHR2_undefine.h\"\n", + "macro/DYDK_guts.h": "/*@@\n @header DYDG_guts.h\n @date Jul 98\n @author Gabrielle Allen\n @desc\n Macro to calculate the first derivatives of the \n extrinsic curvature with respect to y\n @enddesc\n@@*/\n\n#ifndef DYDK_GUTS\n#define DYDK_GUTS\n\n#ifdef FCODE \n\n#include \"ADM_Derivative.h\"\n \n if (local_spatial_order.eq.2) then \n DYDK_DYDKXX = ADM_DY_2(kxx,i,j,k)\n DYDK_DYDKXY = ADM_DY_2(kxy,i,j,k)\n DYDK_DYDKXZ = ADM_DY_2(kxz,i,j,k)\n DYDK_DYDKYY = ADM_DY_2(kyy,i,j,k)\n DYDK_DYDKYZ = ADM_DY_2(kyz,i,j,k)\n DYDK_DYDKZZ = ADM_DY_2(kzz,i,j,k)\n else\n DYDK_DYDKXX = ADM_DY_4(kxx,i,j,k)\n DYDK_DYDKXY = ADM_DY_4(kxy,i,j,k)\n DYDK_DYDKXZ = ADM_DY_4(kxz,i,j,k)\n DYDK_DYDKYY = ADM_DY_4(kyy,i,j,k)\n DYDK_DYDKYZ = ADM_DY_4(kyz,i,j,k)\n DYDK_DYDKZZ = ADM_DY_4(kzz,i,j,k)\n end if\n#endif\n\n\n#ifdef CCODE\n\n DYDK_OO2DY = 1/(2*cctkGH->cctk_delta_space[1]);\n \n DYDK_DYDKXX = DYDK_OO2DY*(DYDK_KXX_JP - DYDK_KXX_JM);\n DYDK_DYDKXY = DYDK_OO2DY*(DYDK_KXY_JP - DYDK_KXY_JM);\n DYDK_DYDKXZ = DYDK_OO2DY*(DYDK_KXZ_JP - DYDK_KXZ_JM);\n DYDK_DYDKYY = DYDK_OO2DY*(DYDK_KYY_JP - DYDK_KYY_JM);\n DYDK_DYDKYZ = DYDK_OO2DY*(DYDK_KYZ_JP - DYDK_KYZ_JM);\n DYDK_DYDKZZ = DYDK_OO2DY*(DYDK_KZZ_JP - DYDK_KZZ_JM);\n\n#endif\n\n#endif\n", + "macro/HAMADM_guts.h": "/*@@\n @header HAMADM_guts.h\n @date Aug 98\n @author Gabrielle Allen\n @desc\n Macro to calculate the spacetime part of the \n Hamiltonian Constraint. That is:\n\n R - K^i_j K^j_i + trK^2 \n\n @enddesc\n@@*/\n\n#ifndef HAMADM_GUTS\n#define HAMADM_GUTS\n\n#include \"TRRICCI_guts.h\"\n#include \"TRKK_guts.h\"\n#include \"TRK_guts.h\"\n\n#ifdef FCODE \n\n HAMADM_HAMADM = TRRICCI_TRRICCI - TRKK_TRKK + TRK_TRK**2\n HAMADM_HAMADMABS = abs(TRRICCI_TRRICCI) + abs(TRKK_TRKK) + TRK_TRK**2\n\n#endif\n\n#ifdef CCODE\n\n HAMADM_HAMADM = TRRICCI_TRRICCI - TRKK_TRKK + TRK_TRK*TRK_TRK;\n HAMADM_HAMADMABS = fabs(TRRICCI_TRRICCI) + fabs(TRKK_TRKK) +\n TRK_TRK*TRK_TRK;\n\n#endif\n\n#endif\n\n", + "macro/LIEG_guts.h": "/*@@\n @header LIEG_guts.h\n @date July 2000\n @author Gabrielle Allen, Miguel Alcubierre\n @desc\n\n Macro to calculate the Lie derivative of the lower \n conformal metric. Notice that the advection term\n can be calculated in several different ways.\n\n IMPORTANT: THE C VERSION ONLY HAS CENTERED DIFFERENCES!\n\n @enddesc\n@@*/\n\n#ifndef LIEG_GUTS\n#define LIEG_GUTS\n\n#include \"DB_guts.h\"\n#include \"DG_guts.h\"\n\n#ifdef FCODE\n\n#include \"ADM_Derivative.h\"\n\n/* Advection. */\n\n LIEG_LGXX = 0.0D0\n LIEG_LGYY = 0.0D0\n LIEG_LGZZ = 0.0D0\n LIEG_LGXY = 0.0D0\n LIEG_LGXZ = 0.0D0\n LIEG_LGYZ = 0.0D0\n\n /* Do the x-direction */\n\n if (admmacros_advectionx .eq. 0) then /* CENTER */\n\n LIEG_LGXX = LIEG_LGXX + DXDCG_DXDCGXX*LIEG_BX \n LIEG_LGYY = LIEG_LGYY + DXDCG_DXDCGYY*LIEG_BX \n LIEG_LGZZ = LIEG_LGZZ + DXDCG_DXDCGZZ*LIEG_BX \n LIEG_LGXY = LIEG_LGXY + DXDCG_DXDCGXY*LIEG_BX\n LIEG_LGXZ = LIEG_LGXZ + DXDCG_DXDCGXZ*LIEG_BX \n LIEG_LGYZ = LIEG_LGYZ + DXDCG_DXDCGYZ*LIEG_BX \n\n else if (admmacros_advectionx .eq. 1) then /* UPWIND1 */\n\n LIEG_LGXX = LIEG_LGXX + ADM_ADV_DX_P1(gxx,i,j,k)\n LIEG_LGYY = LIEG_LGYY + ADM_ADV_DX_P1(gyy,i,j,k)\n LIEG_LGZZ = LIEG_LGZZ + ADM_ADV_DX_P1(gzz,i,j,k)\n LIEG_LGXY = LIEG_LGXY + ADM_ADV_DX_P1(gxy,i,j,k)\n LIEG_LGXZ = LIEG_LGXZ + ADM_ADV_DX_P1(gxz,i,j,k)\n LIEG_LGYZ = LIEG_LGYZ + ADM_ADV_DX_P1(gyz,i,j,k)\n\n else if (admmacros_advectionx .eq. -1) then /* UPWIND1 */\n\n LIEG_LGXX = LIEG_LGXX + ADM_ADV_DX_M1(gxx,i,j,k)\n LIEG_LGYY = LIEG_LGYY + ADM_ADV_DX_M1(gyy,i,j,k)\n LIEG_LGZZ = LIEG_LGZZ + ADM_ADV_DX_M1(gzz,i,j,k)\n LIEG_LGXY = LIEG_LGXY + ADM_ADV_DX_M1(gxy,i,j,k)\n LIEG_LGXZ = LIEG_LGXZ + ADM_ADV_DX_M1(gxz,i,j,k)\n LIEG_LGYZ = LIEG_LGYZ + ADM_ADV_DX_M1(gyz,i,j,k)\n\n else if (admmacros_advectionx .eq. 2) then /* UPWIND2 */\n\n LIEG_LGXX = LIEG_LGXX + ADM_ADV_DX_P2(gxx,i,j,k)\n LIEG_LGYY = LIEG_LGYY + ADM_ADV_DX_P2(gyy,i,j,k)\n LIEG_LGZZ = LIEG_LGZZ + ADM_ADV_DX_P2(gzz,i,j,k)\n LIEG_LGXY = LIEG_LGXY + ADM_ADV_DX_P2(gxy,i,j,k)\n LIEG_LGXZ = LIEG_LGXZ + ADM_ADV_DX_P2(gxz,i,j,k)\n LIEG_LGYZ = LIEG_LGYZ + ADM_ADV_DX_P2(gyz,i,j,k)\n\n else if (admmacros_advectionx .eq. -2) then /* UPWIND2 */\n\n LIEG_LGXX = LIEG_LGXX + ADM_ADV_DX_M2(gxx,i,j,k)\n LIEG_LGYY = LIEG_LGYY + ADM_ADV_DX_M2(gyy,i,j,k)\n LIEG_LGZZ = LIEG_LGZZ + ADM_ADV_DX_M2(gzz,i,j,k)\n LIEG_LGXY = LIEG_LGXY + ADM_ADV_DX_M2(gxy,i,j,k)\n LIEG_LGXZ = LIEG_LGXZ + ADM_ADV_DX_M2(gxz,i,j,k)\n LIEG_LGYZ = LIEG_LGYZ + ADM_ADV_DX_M2(gyz,i,j,k)\n\n end if\n\n \n /* Do the y-direction */\n\n if (admmacros_advectiony .eq. 0) then /* CENTER */\n\n LIEG_LGXX = LIEG_LGXX + DYDCG_DYDCGXX*LIEG_BY\n LIEG_LGYY = LIEG_LGYY + DYDCG_DYDCGYY*LIEG_BY \n LIEG_LGZZ = LIEG_LGZZ + DYDCG_DYDCGZZ*LIEG_BY \n LIEG_LGXY = LIEG_LGXY + DYDCG_DYDCGXY*LIEG_BY\n LIEG_LGXZ = LIEG_LGXZ + DYDCG_DYDCGXZ*LIEG_BY \n LIEG_LGYZ = LIEG_LGYZ + DYDCG_DYDCGYZ*LIEG_BY \n\n else if (admmacros_advectiony .eq. 1) then /* UPWIND1 */\n\n LIEG_LGXX = LIEG_LGXX + ADM_ADV_DY_P1(gxx,i,j,k)\n LIEG_LGYY = LIEG_LGYY + ADM_ADV_DY_P1(gyy,i,j,k)\n LIEG_LGZZ = LIEG_LGZZ + ADM_ADV_DY_P1(gzz,i,j,k)\n LIEG_LGXY = LIEG_LGXY + ADM_ADV_DY_P1(gxy,i,j,k)\n LIEG_LGXZ = LIEG_LGXZ + ADM_ADV_DY_P1(gxz,i,j,k)\n LIEG_LGYZ = LIEG_LGYZ + ADM_ADV_DY_P1(gyz,i,j,k)\n\n else if (admmacros_advectiony .eq. -1) then /* UPWIND1 */\n\n LIEG_LGXX = LIEG_LGXX + ADM_ADV_DY_M1(gxx,i,j,k)\n LIEG_LGYY = LIEG_LGYY + ADM_ADV_DY_M1(gyy,i,j,k)\n LIEG_LGZZ = LIEG_LGZZ + ADM_ADV_DY_M1(gzz,i,j,k)\n LIEG_LGXY = LIEG_LGXY + ADM_ADV_DY_M1(gxy,i,j,k)\n LIEG_LGXZ = LIEG_LGXZ + ADM_ADV_DY_M1(gxz,i,j,k)\n LIEG_LGYZ = LIEG_LGYZ + ADM_ADV_DY_M1(gyz,i,j,k)\n\n else if (admmacros_advectiony .eq. 2) then /* UPWIND2 */\n\n LIEG_LGXX = LIEG_LGXX + ADM_ADV_DY_P2(gxx,i,j,k)\n LIEG_LGYY = LIEG_LGYY + ADM_ADV_DY_P2(gyy,i,j,k)\n LIEG_LGZZ = LIEG_LGZZ + ADM_ADV_DY_P2(gzz,i,j,k)\n LIEG_LGXY = LIEG_LGXY + ADM_ADV_DY_P2(gxy,i,j,k)\n LIEG_LGXZ = LIEG_LGXZ + ADM_ADV_DY_P2(gxz,i,j,k)\n LIEG_LGYZ = LIEG_LGYZ + ADM_ADV_DY_P2(gyz,i,j,k)\n\n else if (admmacros_advectiony .eq. -2) then /* UPWIND2 */\n\n LIEG_LGXX = LIEG_LGXX + ADM_ADV_DY_M2(gxx,i,j,k)\n LIEG_LGYY = LIEG_LGYY + ADM_ADV_DY_M2(gyy,i,j,k)\n LIEG_LGZZ = LIEG_LGZZ + ADM_ADV_DY_M2(gzz,i,j,k)\n LIEG_LGXY = LIEG_LGXY + ADM_ADV_DY_M2(gxy,i,j,k)\n LIEG_LGXZ = LIEG_LGXZ + ADM_ADV_DY_M2(gxz,i,j,k)\n LIEG_LGYZ = LIEG_LGYZ + ADM_ADV_DY_M2(gyz,i,j,k)\n\n end if\n\n\n /* Do the z-direction */\n\n if (admmacros_advectionz .eq. 0) then /* CENTER */\n\n LIEG_LGXX = LIEG_LGXX + DZDCG_DZDCGXX*LIEG_BZ \n LIEG_LGYY = LIEG_LGYY + DZDCG_DZDCGYY*LIEG_BZ\n LIEG_LGZZ = LIEG_LGZZ + DZDCG_DZDCGZZ*LIEG_BZ \n LIEG_LGXY = LIEG_LGXY + DZDCG_DZDCGXY*LIEG_BZ\n LIEG_LGXZ = LIEG_LGXZ + DZDCG_DZDCGXZ*LIEG_BZ \n LIEG_LGYZ = LIEG_LGYZ + DZDCG_DZDCGYZ*LIEG_BZ \n\n else if ((admmacros_advectionz .eq. 1)) then /* UPWIND1 */\n\n LIEG_LGXX = LIEG_LGXX + ADM_ADV_DZ_P1(gxx,i,j,k)\n LIEG_LGYY = LIEG_LGYY + ADM_ADV_DZ_P1(gyy,i,j,k)\n LIEG_LGZZ = LIEG_LGZZ + ADM_ADV_DZ_P1(gzz,i,j,k)\n LIEG_LGXY = LIEG_LGXY + ADM_ADV_DZ_P1(gxy,i,j,k)\n LIEG_LGXZ = LIEG_LGXZ + ADM_ADV_DZ_P1(gxz,i,j,k)\n LIEG_LGYZ = LIEG_LGYZ + ADM_ADV_DZ_P1(gyz,i,j,k)\n\n else if ((admmacros_advectionz .eq. -1)) then /* UPWIND1 */\n\n LIEG_LGXX = LIEG_LGXX + ADM_ADV_DZ_M1(gxx,i,j,k)\n LIEG_LGYY = LIEG_LGYY + ADM_ADV_DZ_M1(gyy,i,j,k)\n LIEG_LGZZ = LIEG_LGZZ + ADM_ADV_DZ_M1(gzz,i,j,k)\n LIEG_LGXY = LIEG_LGXY + ADM_ADV_DZ_M1(gxy,i,j,k)\n LIEG_LGXZ = LIEG_LGXZ + ADM_ADV_DZ_M1(gxz,i,j,k)\n LIEG_LGYZ = LIEG_LGYZ + ADM_ADV_DZ_M1(gyz,i,j,k)\n\n else if (admmacros_advectionz .eq. 2) then /* UPWIND2 */\n\n LIEG_LGXX = LIEG_LGXX + ADM_ADV_DZ_P2(gxx,i,j,k)\n LIEG_LGYY = LIEG_LGYY + ADM_ADV_DZ_P2(gyy,i,j,k)\n LIEG_LGZZ = LIEG_LGZZ + ADM_ADV_DZ_P2(gzz,i,j,k)\n LIEG_LGXY = LIEG_LGXY + ADM_ADV_DZ_P2(gxy,i,j,k)\n LIEG_LGXZ = LIEG_LGXZ + ADM_ADV_DZ_P2(gxz,i,j,k)\n LIEG_LGYZ = LIEG_LGYZ + ADM_ADV_DZ_P2(gyz,i,j,k)\n\n else if (admmacros_advectionz .eq. -2) then /* UPWIND2 */\n\n LIEG_LGXX = LIEG_LGXX + ADM_ADV_DZ_M2(gxx,i,j,k)\n LIEG_LGYY = LIEG_LGYY + ADM_ADV_DZ_M2(gyy,i,j,k)\n LIEG_LGZZ = LIEG_LGZZ + ADM_ADV_DZ_M2(gzz,i,j,k)\n LIEG_LGXY = LIEG_LGXY + ADM_ADV_DZ_M2(gxy,i,j,k)\n LIEG_LGXZ = LIEG_LGXZ + ADM_ADV_DZ_M2(gxz,i,j,k)\n LIEG_LGYZ = LIEG_LGYZ + ADM_ADV_DZ_M2(gyz,i,j,k)\n\n end if \n\n/* Extra terms in the Lie derivative. */\n\n LIEG_LGXX = LIEG_LGXX + 2.0D0*(DXDB_DXDBX*LIEG_GXX \\\n + DXDB_DXDBY*LIEG_GXY + DXDB_DXDBZ*LIEG_GXZ)\n\n LIEG_LGYY = LIEG_LGYY + 2.0D0*(DYDB_DYDBX*LIEG_GXY \\\n + DYDB_DYDBY*LIEG_GYY + DYDB_DYDBZ*LIEG_GYZ)\n\n LIEG_LGZZ = LIEG_LGZZ + 2.0D0*(DZDB_DZDBX*LIEG_GXZ \\\n + DZDB_DZDBY*LIEG_GYZ + DZDB_DZDBZ*LIEG_GZZ)\n\n LIEG_LGXY = LIEG_LGXY + DYDB_DYDBX*LIEG_GXX + DXDB_DXDBY*LIEG_GYY \\\n + (DXDB_DXDBX + DYDB_DYDBY)*LIEG_GXY \\\n + DYDB_DYDBZ*LIEG_GXZ + DXDB_DXDBZ*LIEG_GYZ\n\n LIEG_LGXZ = LIEG_LGXZ + DZDB_DZDBX*LIEG_GXX + DXDB_DXDBZ*LIEG_GZZ \\\n + (DXDB_DXDBX + DZDB_DZDBZ)*LIEG_GXZ \\\n + DZDB_DZDBY*LIEG_GXY + DXDB_DXDBY*LIEG_GYZ\n\n LIEG_LGYZ = LIEG_LGYZ + DZDB_DZDBY*LIEG_GYY + DYDB_DYDBZ*LIEG_GZZ \\\n + (DYDB_DYDBY + DZDB_DZDBZ)*LIEG_GYZ \\\n + DZDB_DZDBX*LIEG_GXY + DYDB_DYDBX*LIEG_GXZ\n\n#endif\n\n#ifdef CCODE\n\n/* Advection */\n\n LIEG_LGXX = DXDCG_DXDCGXX*LIEG_BX + DYDCG_DYDCGXX*LIEG_BY\n + DZDCG_DZDCGXX*LIEG_BZ;\n\n LIEG_LGYY = DXDCG_DXDCGYY*LIEG_BX + DYDCG_DYDCGYY*LIEG_BY\n + DZDCG_DZDCGYY*LIEG_BZ;\n\n LIEG_LGZZ = DXDCG_DXDCGZZ*LIEG_BX + DYDCG_DYDCGZZ*LIEG_BY\n + DZDCG_DZDCGZZ*LIEG_BZ;\n\n LIEG_LGXY = DXDCG_DXDCGXY*LIEG_BX + DYDCG_DYDCGXY*LIEG_BY\n + DZDCG_DZDCGXY*LIEG_BZ;\n\n LIEG_LGXZ = DXDCG_DXDCGXZ*LIEG_BX + DYDCG_DYDCGXZ*LIEG_BY\n + DZDCG_DZDCGXZ*LIEG_BZ;\n\n LIEG_LGYZ = DXDCG_DXDCGYZ*LIEG_BX + DYDCG_DYDCGYZ*LIEG_BY\n + DZDCG_DZDCGYZ*LIEG_BZ;\n\n/* Extra terms in the Lie derivative */\n\n LIEG_LGXX = LIEG_LGXX + 2*(DXDB_DXDBX*LIEG_GXX\n + DXDB_DXDBY*LIEG_GXY + DXDB_DXDBZ*LIEG_GXZ);\n\n LIEG_LGYY = LIEG_LGYY + 2*(DYDB_DYDBX*LIEG_GXY\n + DYDB_DYDBY*LIEG_GYY + DYDB_DYDBZ*LIEG_GYZ);\n\n LIEG_LGZZ = LIEG_LGZZ + 2*(DZDB_DZDBX*LIEG_GXZ\n + DZDB_DZDBY*LIEG_GYZ + DZDB_DZDBZ*LIEG_GZZ);\n\n LIEG_LGXY = LIEG_LGXY + DYDB_DYDBX*LIEG_GXX + DXDB_DXDBY*LIEG_GYY\n + (DXDB_DXDBX + DYDB_DYDBY)*LIEG_GXY\n + DYDB_DYDBZ*LIEG_GXZ + DXDB_DXDBZ*LIEG_GYZ;\n\n LIEG_LGXZ = LIEG_LGXZ + DZDB_DZDBX*LIEG_GXX + DXDB_DXDBZ*LIEG_GZZ\n + (DXDB_DXDBX + DZDB_DZDBZ)*LIEG_GXZ\n + DZDB_DZDBY*LIEG_GXY + DXDB_DXDBY*LIEG_GYZ;\n\n LIEG_LGYZ = LIEG_LGYZ + DZDB_DZDBY*LIEG_GYY + DYDB_DYDBZ*LIEG_GZZ\n + (DYDB_DYDBY + DZDB_DZDBZ)*LIEG_GYZ\n + DZDB_DZDBX*LIEG_GXY + DYDB_DYDBX*LIEG_GXZ;\n\n#endif\n\n#endif\n", + "macro/LIEG_declare.h": "/*@@\n @header LIEG_declare.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n Macro to calculate the Lie derivative of the lower \n physical metric\n\n @enddesc\n@@*/\n\n#ifndef LIEG_DECLARE\n#define LIEG_DECLARE\n\n#include \"DB_declare.h\"\n#include \"DG_declare.h\"\n\n#ifdef FCODE\n\n/* Input variables */\n#undef LIEG_BX\n#define LIEG_BX betax(i,j,k)\n#undef LIEG_BY\n#define LIEG_BY betay(i,j,k)\n#undef LIEG_BZ\n#define LIEG_BZ betaz(i,j,k)\n#undef LIEG_GXX\n#define LIEG_GXX gxx(i,j,k)\n#undef LIEG_GXY\n#define LIEG_GXY gxy(i,j,k)\n#undef LIEG_GXZ\n#define LIEG_GXZ gxz(i,j,k)\n#undef LIEG_GYY\n#define LIEG_GYY gyy(i,j,k)\n#undef LIEG_GYZ\n#define LIEG_GYZ gyz(i,j,k)\n#undef LIEG_GZZ\n#define LIEG_GZZ gzz(i,j,k)\n\n/* Output variables */\n#undef LIEG_LGXX\n#define LIEG_LGXX lieg_lgxx\n#undef LIEG_LGXY\n#define LIEG_LGXY lieg_lgxy\n#undef LIEG_LGXZ\n#define LIEG_LGXZ lieg_lgxz\n#undef LIEG_LGYY\n#define LIEG_LGYY lieg_lgyy\n#undef LIEG_LGYZ\n#define LIEG_LGYZ lieg_lgyz\n#undef LIEG_LGZZ\n#define LIEG_LGZZ lieg_lgzz\n\n/* Declare output variables */\n CCTK_REAL LIEG_LGXX\n CCTK_REAL LIEG_LGXY\n CCTK_REAL LIEG_LGXZ\n CCTK_REAL LIEG_LGYY\n CCTK_REAL LIEG_LGYZ\n CCTK_REAL LIEG_LGZZ\n\n#ifndef ADMMACROS_ADVECTION\n integer admmacros_advectionx\n integer admmacros_advectiony\n integer admmacros_advectionz\n#define ADMMACROS_ADVECTION\n#endif\n\n#endif\n\n#ifdef CCODE\n\n/* Input variables */\n#undef LIEG_BX\n#define LIEG_BX betax[ijk]\n#undef LIEG_BY\n#define LIEG_BY betay[ijk]\n#undef LIEG_BZ\n#define LIEG_BZ betaz[ijk]\n#undef LIEG_GXX\n#define LIEG_GXX gxx[ijk]\n#undef LIEG_GXY\n#define LIEG_GXY gxy[ijk]\n#undef LIEG_GXZ\n#define LIEG_GXZ gxz[ijk]\n#undef LIEG_GYY\n#define LIEG_GYY gyy[ijk]\n#undef LIEG_GYZ\n#define LIEG_GYZ gyz[ijk]\n#undef LIEG_GZZ\n#define LIEG_GZZ gzz[ijk]\n\n/* Output variables */\n#undef LIEG_LGXX\n#define LIEG_LGXX lieg_lgxx\n#undef LIEG_LGXY\n#define LIEG_LGXY lieg_lgxy\n#undef LIEG_LGXZ\n#define LIEG_LGXZ lieg_lgxz\n#undef LIEG_LGYY\n#define LIEG_LGYY lieg_lgyy\n#undef LIEG_LGYZ\n#define LIEG_LGYZ lieg_lgyz\n#undef LIEG_LGZZ\n#define LIEG_LGZZ lieg_lgzz\n\n/* Declare output variables */\n CCTK_REAL LIEG_LGXX;\n CCTK_REAL LIEG_LGXY;\n CCTK_REAL LIEG_LGXZ;\n CCTK_REAL LIEG_LGYY;\n CCTK_REAL LIEG_LGYZ;\n CCTK_REAL LIEG_LGZZ;\n\n#endif\n\n#endif\n", + "macro/DCGDT_guts.h": "/*@@\n @header DCGDT_guts.h\n @date Jul 98\n @author Gabrielle Allen\n @desc\n Macro to calculate the source term in the evolution equation for the\n conformal 3-metric. That is\n\n d g~_ij/dt =( - 2 alpha K_ij + L_beta g_ij )/Psi^4\n\n where g~ is the conformal metric\n \n @enddesc\n@@*/\n\n#ifndef DCGDT_GUTS\n#define DCGDT_GUTS\n\n#ifdef FCODE \n\n DCGDT_DCGXXDT = - 2*DCGDT_A*DCGDT_KXX\n DCGDT_DCGXYDT = - 2*DCGDT_A*DCGDT_KXY\n DCGDT_DCGXZDT = - 2*DCGDT_A*DCGDT_KXZ\n DCGDT_DCGYYDT = - 2*DCGDT_A*DCGDT_KYY\n DCGDT_DCGYZDT = - 2*DCGDT_A*DCGDT_KYZ\n DCGDT_DCGZZDT = - 2*DCGDT_A*DCGDT_KZZ\n\n IF (shift_state .ne. 0) THEN\n\n#include \"LIEG_guts.h\"\n\n DCGDT_DCGXXDT = DCGDT_DCGXXDT + LIEG_LGXX\n DCGDT_DCGXYDT = DCGDT_DCGXYDT + LIEG_LGXY\n DCGDT_DCGXZDT = DCGDT_DCGXZDT + LIEG_LGXZ\n DCGDT_DCGYYDT = DCGDT_DCGYYDT + LIEG_LGYY\n DCGDT_DCGYZDT = DCGDT_DCGYZDT + LIEG_LGYZ\n DCGDT_DCGZZDT = DCGDT_DCGZZDT + LIEG_LGZZ\n\n END IF\n\n#endif\n\n#ifdef CCODE\n\n DCGDT_DCGXXDT = - 2*DCGDT_A*DCGDT_KXX;\n DCGDT_DCGXYDT = - 2*DCGDT_A*DCGDT_KXY;\n DCGDT_DCGXZDT = - 2*DCGDT_A*DCGDT_KXZ;\n DCGDT_DCGYYDT = - 2*DCGDT_A*DCGDT_KYY;\n DCGDT_DCGYZDT = - 2*DCGDT_A*DCGDT_KYZ;\n DCGDT_DCGZZDT = - 2*DCGDT_A*DCGDT_KZZ;\n\n if (*shift_state != 0)\n {\n\n#include \"LIEG_guts.h\"\n\n DCGDT_DCGXXDT = DCGDT_DCGXXDT + LIEG_LGXX;\n DCGDT_DCGXYDT = DCGDT_DCGXYDT + LIEG_LGXY;\n DCGDT_DCGXZDT = DCGDT_DCGXZDT + LIEG_LGXZ;\n DCGDT_DCGYYDT = DCGDT_DCGYYDT + LIEG_LGYY;\n DCGDT_DCGYZDT = DCGDT_DCGYZDT + LIEG_LGYZ;\n DCGDT_DCGZZDT = DCGDT_DCGZZDT + LIEG_LGZZ;\n\n }\n\n#endif\n\n#endif\n\n", + "macro/LIEK_undefine.h": "/*@@\n @header LIEK_undefine.h\n @date Jul 98\n @author Gabrielle Allen\n @desc\n @enddesc\n@@*/\n\n#undef LIEK_GUTS\n\n#include \"DB_undefine.h\"\n#include \"DK_undefine.h\"\n\n\n", + "macro/CDK_undefine.h": "/*@@\n @header CDK_undefine.h\n @date Aug 98\n @author Gabrielle Allen\n @desc\n @enddesc\n@@*/\n\n#undef CDK_GUTS\n\n#include \"CDXCDK_undefine.h\"\n#include \"CDYCDK_undefine.h\"\n#include \"CDZCDK_undefine.h\"\n\n", + "macro/CHR2_guts.h": "/*@@\n @header CHR2_guts.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n Macro to calculate Christoffel symbols of the second kind. \n\n That is CHR2_cab = g^cd CHR1_dab\n\n = 1/2 g^cd (g_ad,b + gbd,a - gab,d)\n\n Requires: Christoffel symbols of first kind\n Uppermetric\n\n Provides: Christoffel sybols of second kind\n\n @enddesc\n@@*/\n\n#ifndef CHR2_GUTS\n#define CHR2_GUTS\n\n#include \"CHR1_guts.h\"\n#include \"UPPERMET_guts.h\"\n\n#ifdef FCODE \n\n CHR2_XXX = CHR1_XXX*UPPERMET_UXX + CHR1_YXX*UPPERMET_UXY + CHR1_ZXX*UPPERMET_UXZ\n CHR2_XXY = CHR1_XXY*UPPERMET_UXX + CHR1_YXY*UPPERMET_UXY + CHR1_ZXY*UPPERMET_UXZ\n CHR2_XXZ = CHR1_XXZ*UPPERMET_UXX + CHR1_YXZ*UPPERMET_UXY + CHR1_ZXZ*UPPERMET_UXZ\n CHR2_XYY = CHR1_XYY*UPPERMET_UXX + CHR1_YYY*UPPERMET_UXY + CHR1_ZYY*UPPERMET_UXZ\n CHR2_XYZ = CHR1_XYZ*UPPERMET_UXX + CHR1_YYZ*UPPERMET_UXY + CHR1_ZYZ*UPPERMET_UXZ\n CHR2_XZZ = CHR1_XZZ*UPPERMET_UXX + CHR1_YZZ*UPPERMET_UXY + CHR1_ZZZ*UPPERMET_UXZ\n CHR2_YXX = CHR1_XXX*UPPERMET_UXY + CHR1_YXX*UPPERMET_UYY + CHR1_ZXX*UPPERMET_UYZ\n CHR2_YXY = CHR1_XXY*UPPERMET_UXY + CHR1_YXY*UPPERMET_UYY + CHR1_ZXY*UPPERMET_UYZ\n CHR2_YXZ = CHR1_XXZ*UPPERMET_UXY + CHR1_YXZ*UPPERMET_UYY + CHR1_ZXZ*UPPERMET_UYZ\n CHR2_YYY = CHR1_XYY*UPPERMET_UXY + CHR1_YYY*UPPERMET_UYY + CHR1_ZYY*UPPERMET_UYZ\n CHR2_YYZ = CHR1_XYZ*UPPERMET_UXY + CHR1_YYZ*UPPERMET_UYY + CHR1_ZYZ*UPPERMET_UYZ\n CHR2_YZZ = CHR1_XZZ*UPPERMET_UXY + CHR1_YZZ*UPPERMET_UYY + CHR1_ZZZ*UPPERMET_UYZ\n CHR2_ZXX = CHR1_XXX*UPPERMET_UXZ + CHR1_YXX*UPPERMET_UYZ + CHR1_ZXX*UPPERMET_UZZ\n CHR2_ZXY = CHR1_XXY*UPPERMET_UXZ + CHR1_YXY*UPPERMET_UYZ + CHR1_ZXY*UPPERMET_UZZ\n CHR2_ZXZ = CHR1_XXZ*UPPERMET_UXZ + CHR1_YXZ*UPPERMET_UYZ + CHR1_ZXZ*UPPERMET_UZZ\n CHR2_ZYY = CHR1_XYY*UPPERMET_UXZ + CHR1_YYY*UPPERMET_UYZ + CHR1_ZYY*UPPERMET_UZZ\n CHR2_ZYZ = CHR1_XYZ*UPPERMET_UXZ + CHR1_YYZ*UPPERMET_UYZ + CHR1_ZYZ*UPPERMET_UZZ\n CHR2_ZZZ = CHR1_XZZ*UPPERMET_UXZ + CHR1_YZZ*UPPERMET_UYZ + CHR1_ZZZ*UPPERMET_UZZ\n\n#endif\n\n#ifdef CCODE\n\n CHR2_XXX = CHR1_XXX*UPPERMET_UXX + CHR1_YXX*UPPERMET_UXY + CHR1_ZXX*UPPERMET_UXZ;\n CHR2_XXY = CHR1_XXY*UPPERMET_UXX + CHR1_YXY*UPPERMET_UXY + CHR1_ZXY*UPPERMET_UXZ;\n CHR2_XXZ = CHR1_XXZ*UPPERMET_UXX + CHR1_YXZ*UPPERMET_UXY + CHR1_ZXZ*UPPERMET_UXZ;\n CHR2_XYY = CHR1_XYY*UPPERMET_UXX + CHR1_YYY*UPPERMET_UXY + CHR1_ZYY*UPPERMET_UXZ;\n CHR2_XYZ = CHR1_XYZ*UPPERMET_UXX + CHR1_YYZ*UPPERMET_UXY + CHR1_ZYZ*UPPERMET_UXZ;\n CHR2_XZZ = CHR1_XZZ*UPPERMET_UXX + CHR1_YZZ*UPPERMET_UXY + CHR1_ZZZ*UPPERMET_UXZ;\n CHR2_YXX = CHR1_XXX*UPPERMET_UXY + CHR1_YXX*UPPERMET_UYY + CHR1_ZXX*UPPERMET_UYZ;\n CHR2_YXY = CHR1_XXY*UPPERMET_UXY + CHR1_YXY*UPPERMET_UYY + CHR1_ZXY*UPPERMET_UYZ;\n CHR2_YXZ = CHR1_XXZ*UPPERMET_UXY + CHR1_YXZ*UPPERMET_UYY + CHR1_ZXZ*UPPERMET_UYZ;\n CHR2_YYY = CHR1_XYY*UPPERMET_UXY + CHR1_YYY*UPPERMET_UYY + CHR1_ZYY*UPPERMET_UYZ;\n CHR2_YYZ = CHR1_XYZ*UPPERMET_UXY + CHR1_YYZ*UPPERMET_UYY + CHR1_ZYZ*UPPERMET_UYZ;\n CHR2_YZZ = CHR1_XZZ*UPPERMET_UXY + CHR1_YZZ*UPPERMET_UYY + CHR1_ZZZ*UPPERMET_UYZ;\n CHR2_ZXX = CHR1_XXX*UPPERMET_UXZ + CHR1_YXX*UPPERMET_UYZ + CHR1_ZXX*UPPERMET_UZZ;\n CHR2_ZXY = CHR1_XXY*UPPERMET_UXZ + CHR1_YXY*UPPERMET_UYZ + CHR1_ZXY*UPPERMET_UZZ;\n CHR2_ZXZ = CHR1_XXZ*UPPERMET_UXZ + CHR1_YXZ*UPPERMET_UYZ + CHR1_ZXZ*UPPERMET_UZZ;\n CHR2_ZYY = CHR1_XYY*UPPERMET_UXZ + CHR1_YYY*UPPERMET_UYZ + CHR1_ZYY*UPPERMET_UZZ;\n CHR2_ZYZ = CHR1_XYZ*UPPERMET_UXZ + CHR1_YYZ*UPPERMET_UYZ + CHR1_ZYZ*UPPERMET_UZZ;\n CHR2_ZZZ = CHR1_XZZ*UPPERMET_UXZ + CHR1_YZZ*UPPERMET_UYZ + CHR1_ZZZ*UPPERMET_UZZ;\n\n#endif\n\n#endif\n", + "macro/DYDG_guts.h": "/*@@\n @header DYDG_guts.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n Macro to calculate the first derivatives of the \n physical metric with respect to y\n\n The macro is defined in terms of standard variables in\n @seefile DYDG_declare.h\n @enddesc\n@@*/\n\n#ifndef DYDG_GUTS\n#define DYDG_GUTS\n\n#include \"DYDCG_guts.h\"\n\n#ifdef FCODE \n\n DYDG_PSI4 = 1\n DYDG_FAC = 0\n\n DYDG_DYDGXX = DYDCG_DYDCGXX*DYDG_PSI4 + DYDG_FAC*DYDG_GXX\n DYDG_DYDGXY = DYDCG_DYDCGXY*DYDG_PSI4 + DYDG_FAC*DYDG_GXY\n DYDG_DYDGXZ = DYDCG_DYDCGXZ*DYDG_PSI4 + DYDG_FAC*DYDG_GXZ\n DYDG_DYDGYY = DYDCG_DYDCGYY*DYDG_PSI4 + DYDG_FAC*DYDG_GYY\n DYDG_DYDGYZ = DYDCG_DYDCGYZ*DYDG_PSI4 + DYDG_FAC*DYDG_GYZ\n DYDG_DYDGZZ = DYDCG_DYDCGZZ*DYDG_PSI4 + DYDG_FAC*DYDG_GZZ\n\n#endif\n\n#ifdef CCODE\n\n DYDG_PSI4 = 1;\n\n DYDG_FAC = 0;\n\n DYDG_DYDGXX = DYDCG_DYDCGXX*DYDG_PSI4 + DYDG_FAC*DYDG_GXX;\n DYDG_DYDGXY = DYDCG_DYDCGXY*DYDG_PSI4 + DYDG_FAC*DYDG_GXY;\n DYDG_DYDGXZ = DYDCG_DYDCGXZ*DYDG_PSI4 + DYDG_FAC*DYDG_GXZ;\n DYDG_DYDGYY = DYDCG_DYDCGYY*DYDG_PSI4 + DYDG_FAC*DYDG_GYY;\n DYDG_DYDGYZ = DYDCG_DYDCGYZ*DYDG_PSI4 + DYDG_FAC*DYDG_GYZ;\n DYDG_DYDGZZ = DYDCG_DYDCGZZ*DYDG_PSI4 + DYDG_FAC*DYDG_GZZ;\n\n#endif\n\n#endif\n", + "macro/DYYDG_guts.h": "/*@@\n @header DYYDG_guts.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n Macro to calculate the (first and) second derivatives of the \n physical metric with respect to y\n\n The macro is defined in terms of standard variables in\n @seefile DYYDG_declare.h\n\n The macro uses @seefile DXDG_guts.h and @seefile DXDG_declare.h\n @enddesc\n@@*/\n\n#ifndef DYYDG_GUTS\n#define DYYDG_GUTS\n\n#include \"DYDG_guts.h\"\n\n#ifdef FCODE \n\n#include \"ADM_Derivative.h\"\n\n /* Factor involving 2nd derivative of conformal factor, nowadays zero */ \n DYYDG_FAC = 0\n\n /* Now calculate the second deriatives */\n if (local_spatial_order.eq.2) then \n DYYDG_DYYDGXX = 2*DYDCG_DYDCGXX*DYDG_FAC + DYYDG_FAC*DYDG_GXX \\\n + DYDG_PSI4*ADM_DYY_2(gxx,i,j,k)\n\n DYYDG_DYYDGXY = 2*DYDCG_DYDCGXY*DYDG_FAC + DYYDG_FAC*DYDG_GXY \\\n + DYDG_PSI4*ADM_DYY_2(gxy,i,j,k)\n\n DYYDG_DYYDGXZ = 2*DYDCG_DYDCGXZ*DYDG_FAC + DYYDG_FAC*DYDG_GXZ \\\n + DYDG_PSI4*ADM_DYY_2(gxz,i,j,k)\n\n DYYDG_DYYDGYY = 2*DYDCG_DYDCGYY*DYDG_FAC + DYYDG_FAC*DYDG_GYY \\\n + DYDG_PSI4*ADM_DYY_2(gyy,i,j,k)\n\n DYYDG_DYYDGYZ = 2*DYDCG_DYDCGYZ*DYDG_FAC + DYYDG_FAC*DYDG_GYZ \\\n + DYDG_PSI4*ADM_DYY_2(gyz,i,j,k)\n\n DYYDG_DYYDGZZ = 2*DYDCG_DYDCGZZ*DYDG_FAC + DYYDG_FAC*DYDG_GZZ \\\n + DYDG_PSI4*ADM_DYY_2(gzz,i,j,k)\n else\n DYYDG_DYYDGXX = 2*DYDCG_DYDCGXX*DYDG_FAC + DYYDG_FAC*DYDG_GXX \\\n + DYDG_PSI4*ADM_DYY_4(gxx,i,j,k)\n\n DYYDG_DYYDGXY = 2*DYDCG_DYDCGXY*DYDG_FAC + DYYDG_FAC*DYDG_GXY \\\n + DYDG_PSI4*ADM_DYY_4(gxy,i,j,k)\n\n DYYDG_DYYDGXZ = 2*DYDCG_DYDCGXZ*DYDG_FAC + DYYDG_FAC*DYDG_GXZ \\\n + DYDG_PSI4*ADM_DYY_4(gxz,i,j,k)\n\n DYYDG_DYYDGYY = 2*DYDCG_DYDCGYY*DYDG_FAC + DYYDG_FAC*DYDG_GYY \\\n + DYDG_PSI4*ADM_DYY_4(gyy,i,j,k)\n\n DYYDG_DYYDGYZ = 2*DYDCG_DYDCGYZ*DYDG_FAC + DYYDG_FAC*DYDG_GYZ \\\n + DYDG_PSI4*ADM_DYY_4(gyz,i,j,k)\n\n DYYDG_DYYDGZZ = 2*DYDCG_DYDCGZZ*DYDG_FAC + DYYDG_FAC*DYDG_GZZ \\\n + DYDG_PSI4*ADM_DYY_4(gzz,i,j,k)\n end if\n\n#endif\n\n#ifdef CCODE\n\n /* Factor involving 2nd derivative of conformal factor, nowadays zero */ \n DYYDG_FAC = 0;\n\n /* Now calculate the second deriatives */\n DYYDG_DYYDGXX = 2*DYDCG_DYDCGXX*DYDG_FAC+DYYDG_FAC*DYDG_GXX+DYDG_PSI4\n *DYYDG_OODY2*(DYDCG_GXX_JP-2*DYDG_GXX+DYDCG_GXX_JM);\n\n DYYDG_DYYDGXY = 2*DYDCG_DYDCGXY*DYDG_FAC+DYYDG_FAC*DYDG_GXY+DYDG_PSI4\n *DYYDG_OODY2*(DYDCG_GXY_JP-2*DYDG_GXY+DYDCG_GXY_JM);\n\n DYYDG_DYYDGXZ = 2*DYDCG_DYDCGXZ*DYDG_FAC+DYYDG_FAC*DYDG_GXZ+DYDG_PSI4\n *DYYDG_OODY2*(DYDCG_GXZ_JP-2*DYDG_GXZ+DYDCG_GXZ_JM);\n\n DYYDG_DYYDGYY = 2*DYDCG_DYDCGYY*DYDG_FAC+DYYDG_FAC*DYDG_GYY+DYDG_PSI4\n *DYYDG_OODY2*(DYDCG_GYY_JP-2*DYDG_GYY+DYDCG_GYY_JM);\n\n DYYDG_DYYDGYZ = 2*DYDCG_DYDCGYZ*DYDG_FAC+DYYDG_FAC*DYDG_GYZ+DYDG_PSI4\n *DYYDG_OODY2*(DYDCG_GYZ_JP-2*DYDG_GYZ+DYDCG_GYZ_JM);\n\n DYYDG_DYYDGZZ = 2*DYDCG_DYDCGZZ*DYDG_FAC+DYYDG_FAC*DYDG_GZZ+DYDG_PSI4\n *DYYDG_OODY2*(DYDCG_GZZ_JP-2*DYDG_GZZ+DYDCG_GZZ_JM);\n\n#endif\n\n#endif\n", + "macro/DXDCG_guts.h": "/*@@\n @header DXDCG_guts.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n Macro to calculate the first derivatives of the \n conformal metric with respect to x\n\n The macro is defined in terms of standard variables in\n\n Requires: lower conformal metric at i+1,i-1 ; dx0\n\n Provides: derivative of lower conformal metric wrt x\n\n @seefile DXDCG_declare.h\n @enddesc\n@@*/\n\n#ifndef DXDCG_GUTS\n#define DXDCG_GUTS\n\n#ifdef FCODE \n\n#include \"ADM_Derivative.h\"\n\n if (local_spatial_order.eq.2) then\n DXDCG_DXDCGXX = ADM_DX_2(gxx,i,j,k)\n DXDCG_DXDCGXY = ADM_DX_2(gxy,i,j,k)\n DXDCG_DXDCGXZ = ADM_DX_2(gxz,i,j,k)\n DXDCG_DXDCGYY = ADM_DX_2(gyy,i,j,k)\n DXDCG_DXDCGYZ = ADM_DX_2(gyz,i,j,k)\n DXDCG_DXDCGZZ = ADM_DX_2(gzz,i,j,k)\n else\n DXDCG_DXDCGXX = ADM_DX_4(gxx,i,j,k)\n DXDCG_DXDCGXY = ADM_DX_4(gxy,i,j,k)\n DXDCG_DXDCGXZ = ADM_DX_4(gxz,i,j,k)\n DXDCG_DXDCGYY = ADM_DX_4(gyy,i,j,k)\n DXDCG_DXDCGYZ = ADM_DX_4(gyz,i,j,k)\n DXDCG_DXDCGZZ = ADM_DX_4(gzz,i,j,k)\n end if\n#endif\n\n#ifdef CCODE\n \n DXDCG_OO2DX = 1/(2*cctkGH->cctk_delta_space[0]);\n \n DXDCG_DXDCGXX = DXDCG_OO2DX*(DXDCG_GXX_IP - DXDCG_GXX_IM);\n DXDCG_DXDCGXY = DXDCG_OO2DX*(DXDCG_GXY_IP - DXDCG_GXY_IM);\n DXDCG_DXDCGXZ = DXDCG_OO2DX*(DXDCG_GXZ_IP - DXDCG_GXZ_IM);\n DXDCG_DXDCGYY = DXDCG_OO2DX*(DXDCG_GYY_IP - DXDCG_GYY_IM);\n DXDCG_DXDCGYZ = DXDCG_OO2DX*(DXDCG_GYZ_IP - DXDCG_GYZ_IM);\n DXDCG_DXDCGZZ = DXDCG_OO2DX*(DXDCG_GZZ_IP - DXDCG_GZZ_IM);\n\n#endif\n\n#endif\n", + "macro/DZDB_undefine.h": "/*@@\n @header DZDB_undefine.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n @enddesc\n@@*/\n\n#undef DZDB_GUTS\n\n", + "macro/TRRICCI_undefine.h": "/*@@\n @header TRRICCI_undefine.h\n @date August 98\n @author Gabrielle Allen\n @desc\n @enddesc\n@@*/\n\n#undef TRRICCI_GUTS\n\n#include \"UPPERMET_undefine.h\"\n#include \"RICCI_undefine.h\"\n\n\n \n", + "macro/CDXCDK_declare.h": "/*@@\n @header CDXCDK_declare.h\n @date Aug 98\n @author Gabrielle Allen\n @desc\n Declarations for macro to compute first conformal\n derivatives of the extrinsic curvature with respect to x\n @enddesc\n@@*/\n\n#ifndef CDXCDK_DECLARE\n#define CDXCDK_DECLARE\n\n#include \"DXDK_declare.h\"\n#include \"CHR2_declare.h\"\n\n#ifdef FCODE\n\n/* Input variables */\n#undef CDXCDK_KXX \n#define CDXCDK_KXX kxx(i,j,k)\n#undef CDXCDK_KXY \n#define CDXCDK_KXY kxy(i,j,k)\n#undef CDXCDK_KXZ \n#define CDXCDK_KXZ kxz(i,j,k)\n#undef CDXCDK_KYY \n#define CDXCDK_KYY kyy(i,j,k)\n#undef CDXCDK_KYZ \n#define CDXCDK_KYZ kyz(i,j,k)\n#undef CDXCDK_KZZ \n#define CDXCDK_KZZ kzz(i,j,k)\n\n/* Output variables */ \n#undef CDXCDK_CDXCDKXX\n#define CDXCDK_CDXCDKXX cdxcdk_cdxcdkxx\n#undef CDXCDK_CDXCDKXY\n#define CDXCDK_CDXCDKXY cdxcdk_cdxcdkxy\n#undef CDXCDK_CDXCDKXZ\n#define CDXCDK_CDXCDKXZ cdxcdk_cdxcdkxz\n#undef CDXCDK_CDXCDKYY\n#define CDXCDK_CDXCDKYY cdxcdk_cdxcdkyy\n#undef CDXCDK_CDXCDKYZ\n#define CDXCDK_CDXCDKYZ cdxcdk_cdxcdkyz\n#undef CDXCDK_CDXCDKZZ\n#define CDXCDK_CDXCDKZZ cdxcdk_cdxcdkzz\n\n/* Declare output variables */\n CCTK_REAL CDXCDK_CDXCDKXX\n CCTK_REAL CDXCDK_CDXCDKXY\n CCTK_REAL CDXCDK_CDXCDKXZ\n CCTK_REAL CDXCDK_CDXCDKYY\n CCTK_REAL CDXCDK_CDXCDKYZ\n CCTK_REAL CDXCDK_CDXCDKZZ\n\n#endif\n\n\n#ifdef CCODE\n\n/* Input variables */\n#undef CDXCDK_KXX \n#define CDXCDK_KXX kxx[ijk]\n#undef CDXCDK_KXY \n#define CDXCDK_KXY kxy[ijk]\n#undef CDXCDK_KXZ \n#define CDXCDK_KXZ kxz[ijk]\n#undef CDXCDK_KYY \n#define CDXCDK_KYY kyy[ijk]\n#undef CDXCDK_KYZ \n#define CDXCDK_KYZ kyz[ijk]\n#undef CDXCDK_KZZ \n#define CDXCDK_KZZ kzz[ijk]\n\n/* Output variables */ \n#undef CDXCDK_CDXCDKXX\n#define CDXCDK_CDXCDKXX cdxcdk_cdxcdkxx\n#undef CDXCDK_CDXCDKXY\n#define CDXCDK_CDXCDKXY cdxcdk_cdxcdkxy\n#undef CDXCDK_CDXCDKXZ\n#define CDXCDK_CDXCDKXZ cdxcdk_cdxcdkxz\n#undef CDXCDK_CDXCDKYY\n#define CDXCDK_CDXCDKYY cdxcdk_cdxcdkyy\n#undef CDXCDK_CDXCDKYZ\n#define CDXCDK_CDXCDKYZ cdxcdk_cdxcdkyz\n#undef CDXCDK_CDXCDKZZ\n#define CDXCDK_CDXCDKZZ cdxcdk_cdxcdkzz\n\n/* Declare output variables */\nCCTK_REAL CDXCDK_CDXCDKXX;\nCCTK_REAL CDXCDK_CDXCDKXY;\nCCTK_REAL CDXCDK_CDXCDKXZ;\nCCTK_REAL CDXCDK_CDXCDKYY;\nCCTK_REAL CDXCDK_CDXCDKYZ;\nCCTK_REAL CDXCDK_CDXCDKZZ;\n\n#endif\n\n#endif\n", + "macro/LIEG_undefine.h": "/*@@\n @header LIEG_undefine.h\n @date Jul 98\n @author Gabrielle Allen\n @desc\n @enddesc\n@@*/\n\n#undef LIEG_GUTS\n\n#include \"DB_undefine.h\"\n#include \"DG_undefine.h\"\n\n\n", + "macro/CHR1_declare.h": "/*@@\n @header CHR1_declare.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n Declarations for macro to calculate the Christoffel symbols of the\n first kind\n @enddesc\n@@*/\n\n#ifndef CHR1_DECLARE\n#define CHR1_DECLARE\n\n#include \"DG_declare.h\"\n\n#ifdef FCODE\n\n/* Output variables */\n#undef CHR1_XXX \n#define CHR1_XXX gammado111\n#undef CHR1_XXY \n#define CHR1_XXY gammado112 \n#undef CHR1_XXZ \n#define CHR1_XXZ gammado113 \n#undef CHR1_XYY \n#define CHR1_XYY gammado122\n#undef CHR1_XYZ \n#define CHR1_XYZ gammado123\n#undef CHR1_XZZ\n#define CHR1_XZZ gammado133\n#undef CHR1_YXX\n#define CHR1_YXX gammado211\n#undef CHR1_YXY\n#define CHR1_YXY gammado212\n#undef CHR1_YXZ\n#define CHR1_YXZ gammado213\n#undef CHR1_YYY\n#define CHR1_YYY gammado222\n#undef CHR1_YYZ\n#define CHR1_YYZ gammado223\n#undef CHR1_YZZ\n#define CHR1_YZZ gammado233\n#undef CHR1_ZXX\n#define CHR1_ZXX gammado311\n#undef CHR1_ZXY\n#define CHR1_ZXY gammado312\n#undef CHR1_ZXZ\n#define CHR1_ZXZ gammado313\n#undef CHR1_ZYY\n#define CHR1_ZYY gammado322\n#undef CHR1_ZYZ\n#define CHR1_ZYZ gammado323\n#undef CHR1_ZZZ\n#define CHR1_ZZZ gammado333\n\n/* Declare output variables */\n CCTK_REAL CHR1_XXX\n CCTK_REAL CHR1_XXY\n CCTK_REAL CHR1_XXZ\n CCTK_REAL CHR1_XYY\n CCTK_REAL CHR1_XYZ\n CCTK_REAL CHR1_XZZ\n CCTK_REAL CHR1_YXX\n CCTK_REAL CHR1_YXY\n CCTK_REAL CHR1_YXZ\n CCTK_REAL CHR1_YYY\n CCTK_REAL CHR1_YYZ\n CCTK_REAL CHR1_YZZ\n CCTK_REAL CHR1_ZXX\n CCTK_REAL CHR1_ZXY\n CCTK_REAL CHR1_ZXZ\n CCTK_REAL CHR1_ZYY\n CCTK_REAL CHR1_ZYZ\n CCTK_REAL CHR1_ZZZ\n\n#endif\n\n\n#ifdef CCODE\n\n/* Output variables */\n#undef CHR1_XX1 \n#define CHR1_XXX gammado111\n#undef CHR1_XXY \n#define CHR1_XXY gammado112 \n#undef CHR1_XXZ \n#define CHR1_XXZ gammado113 \n#undef CHR1_XYY \n#define CHR1_XYY gammado122\n#undef CHR1_XYZ \n#define CHR1_XYZ gammado123\n#undef CHR1_XZZ\n#define CHR1_XZZ gammado133\n#undef CHR1_YXX\n#define CHR1_YXX gammado211\n#undef CHR1_YXY\n#define CHR1_YXY gammado212\n#undef CHR1_YXZ\n#define CHR1_Y1Z gammado213\n#undef CHR1_YYY\n#define CHR1_YYY gammado222\n#undef CHR1_YYZ\n#define CHR1_YYZ gammado223\n#undef CHR1_2ZZ\n#define CHR1_YZZ gammado233\n#undef CHR1_ZXX\n#define CHR1_ZXX gammado311\n#undef CHR1_ZXY\n#define CHR1_ZXY gammado312\n#undef CHR1_ZXZ\n#define CHR1_ZXZ gammado313\n#undef CHR1_ZYY\n#define CHR1_ZYY gammado322\n#undef CHR1_ZYZ\n#define CHR1_ZYZ gammado323\n#undef CHR1_ZZZ\n#define CHR1_ZZZ gammado333\n\n/* Declare output variables */\nCCTK_REAL CHR1_XXX;\nCCTK_REAL CHR1_XXY;\nCCTK_REAL CHR1_XXZ;\nCCTK_REAL CHR1_XYY;\nCCTK_REAL CHR1_XYZ;\nCCTK_REAL CHR1_XZZ;\nCCTK_REAL CHR1_YXX;\nCCTK_REAL CHR1_YXY;\nCCTK_REAL CHR1_YXZ;\nCCTK_REAL CHR1_YYY;\nCCTK_REAL CHR1_YYZ;\nCCTK_REAL CHR1_YZZ;\nCCTK_REAL CHR1_ZXX;\nCCTK_REAL CHR1_ZXY;\nCCTK_REAL CHR1_ZXZ;\nCCTK_REAL CHR1_ZYY;\nCCTK_REAL CHR1_ZYZ;\nCCTK_REAL CHR1_ZZZ;\n\n#endif\n\n/* Symmetries */\n#undef CHR1_XYX \n#define CHR1_XYX CHR1_XXY\n#undef CHR1_XZX \n#define CHR1_XZX CHR1_XXZ\n#undef CHR1_XZY \n#define CHR1_XZY CHR1_XYZ\n#undef CHR1_YYX\n#define CHR1_YYX CHR1_YXY\n#undef CHR1_YZX\n#define CHR1_YZX CHR1_YXZ\n#undef CHR1_YZY\n#define CHR1_YZY CHR1_YYZ\n#undef CHR1_ZYX\n#define CHR1_ZYX CHR1_ZXY\n#undef CHR1_ZZX\n#define CHR1_ZZX CHR1_ZXZ\n#undef CHR1_ZZY\n#define CHR1_ZZY CHR1_ZYZ\n\n#endif\n\n\n\n", + "macro/STRESSENERGY_guts.h": "/*@@\n @header STRESSENERGY_guts.h\n @date Nov 98\n @author Gabrielle Allen\n @desc\n Macro to calculate the hydro quantities \n scheme\n @enddesc\n@@*/\n\n#ifndef STRESSENERGY_GUTS\n#define STRESSENERGY_GUTS\n\n/* These geometrical quantities are supplied for CalcTmunu */\n\n#include \"DETG_guts.h\"\n#include \"UPPERMET_guts.h\"\n\n uxx = UPPERMET_UXX; uyy = UPPERMET_UYY; uzz = UPPERMET_UZZ\n uxy = UPPERMET_UXY; uxz = UPPERMET_UXZ; uyz = UPPERMET_UYZ\n\n detg = DETG_DETCG\n\n/* Zero the stress-energy tensor */\n\n STRESSENERGY_TTT = 0.0D0; STRESSENERGY_TTX = 0.0D0\n STRESSENERGY_TTY = 0.0D0; STRESSENERGY_TTZ = 0.0D0\n STRESSENERGY_TXX = 0.0D0; STRESSENERGY_TXY = 0.0D0 \n STRESSENERGY_TXZ = 0.0D0; STRESSENERGY_TYY = 0.0D0\n STRESSENERGY_TYZ = 0.0D0; STRESSENERGY_TZZ = 0.0D0\n\n \n/* Calculate the stress-energy tensor */\n#include \"CalcTmunu.inc\"\n\n\n/* Calculate the trace of the stress-energy tensor */\n#include \"TRT_guts.h\"\n\n#endif\n", + "macro/LIEK_declare.h": "/*@@\n @header LIEK_declare.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n Macro to calculate the Lie derivative of the lower \n physical metric\n\n @enddesc\n@@*/\n\n#ifndef LIEK_DECLARE\n#define LIEK_DECLARE\n\n#include \"DB_declare.h\"\n#include \"DK_declare.h\"\n\n#ifdef FCODE\n\n/* Input variables */\n#undef LIEK_BX\n#define LIEK_BX betax(i,j,k)\n#undef LIEK_BY\n#define LIEK_BY betay(i,j,k)\n#undef LIEK_BZ\n#define LIEK_BZ betaz(i,j,k)\n#undef LIEK_KXX\n#define LIEK_KXX kxx(i,j,k)\n#undef LIEK_KXY\n#define LIEK_KXY kxy(i,j,k)\n#undef LIEK_KXZ\n#define LIEK_KXZ kxz(i,j,k)\n#undef LIEK_KYY\n#define LIEK_KYY kyy(i,j,k)\n#undef LIEK_KYZ\n#define LIEK_KYZ kyz(i,j,k)\n#undef LIEK_KZZ\n#define LIEK_KZZ kzz(i,j,k)\n\n/* Output variables */\n#undef LIEK_LKXX\n#define LIEK_LKXX liek_lkxx\n#undef LIEK_LKXY\n#define LIEK_LKXY liek_lkxy\n#undef LIEK_LKXZ\n#define LIEK_LKXZ liek_lkxz\n#undef LIEK_LKYY\n#define LIEK_LKYY liek_lkyy\n#undef LIEK_LKYZ\n#define LIEK_LKYZ liek_lkyz\n#undef LIEK_LKZZ\n#define LIEK_LKZZ liek_lkzz\n\n/* Declare output variables */\n CCTK_REAL LIEK_LKXX\n CCTK_REAL LIEK_LKXY\n CCTK_REAL LIEK_LKXZ\n CCTK_REAL LIEK_LKYY\n CCTK_REAL LIEK_LKYZ\n CCTK_REAL LIEK_LKZZ\n\n#ifndef ADMMACROS_ADVECTION\n integer admmacros_advectionx\n integer admmacros_advectiony\n integer admmacros_advectionz\n#define ADMMACROS_ADVECTION\n#endif\n\n#endif\n\n#ifdef CCODE\n\n/* Input variables */\n#undef LIEK_BX\n#define LIEK_BX betax[ijk]\n#undef LIEK_BY\n#define LIEK_BY betay[ijk]\n#undef LIEK_BZ\n#define LIEK_BZ betaz[ijk]\n#undef LIEK_KXX\n#define LIEK_KXX kxx[ijk]\n#undef LIEK_KXY\n#define LIEK_KXY kxy[ijk]\n#undef LIEK_KXZ\n#define LIEK_KXZ kxz[ijk]\n#undef LIEK_KYY\n#define LIEK_KYY kyy[ijk]\n#undef LIEK_KYZ\n#define LIEK_KYZ kyz[ijk]\n#undef LIEK_KZZ\n#define LIEK_KZZ kzz[ijk]\n\n/* Output variables */\n#undef LIEK_LKXX\n#define LIEK_LKXX liek_lkxx\n#undef LIEK_LKXY\n#define LIEK_LKXY liek_lkxy\n#undef LIEK_LKXZ\n#define LIEK_LKXZ liek_lkxz\n#undef LIEK_LKYY\n#define LIEK_LKYY liek_lkyy\n#undef LIEK_LKYZ\n#define LIEK_LKYZ liek_lkyz\n#undef LIEK_LKZZ\n#define LIEK_LKZZ liek_lkzz\n\n/* Declare output variables */\n CCTK_REAL LIEK_LKXX;\n CCTK_REAL LIEK_LKXY;\n CCTK_REAL LIEK_LKXZ;\n CCTK_REAL LIEK_LKYY;\n CCTK_REAL LIEK_LKYZ;\n CCTK_REAL LIEK_LKZZ;\n\n#endif\n\n#endif\n", + "macro/DK_declare.h": "/*@@\n @header DG_declare.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n\n Declarations for macro to calculate all the first derivatives of the \n extrinsic curvature with respect to x, y, z using the subsidary macros\n @seefile DXDK_guts.h @seefile DYDK_guts.h and @seefile DZDK_guts.h.\n\n Calls the macros @seefile DXDK_declare.h @seefile DYDK_declare.h\n and @seefile DZDK_declare.h.\n\n @enddesc\n@@*/\n\n#ifndef DK_DECLARE\n#define DK_DECLARE\n\n#include \"DXDK_declare.h\"\n#include \"DYDK_declare.h\"\n#include \"DZDK_declare.h\"\n\n#endif\n", + "macro/DXDK_undefine.h": "/*@@\n @header DXDK_undefine.h\n @date Jul 98\n @author Gabrielle Allen\n @desc\n @enddesc\n@@*/\n\n#undef DXDK_GUTS\n\n\n", + "macro/DG_guts.h": "/*@@\n @header DG_guts.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n Macro to calculate all the first derivatives of the \n physical metric with respect to x, y, z\n\n Calls the macros @seefile DXDG_guts.h @seefile DYDG_guts.h\n and @seefile DZDG_guts.h.\n\n The macro is defined in terms of standard variables in\n @seefile DXDG_declare.h ,@seefile DYDG_declare.h and\n @seefile DZDG_declare.h\n @enddesc\n@@*/\n\n#ifndef DG_GUTS\n#define DG_GUTS\n\n#include \"DXDG_guts.h\"\n#include \"DYDG_guts.h\"\n#include \"DZDG_guts.h\"\n\n#endif\n", + "macro/CDK_guts.h": "/*@@\n @header CDK_guts.h\n @date Aug 98\n @author Gabrielle Allen\n @desc\n Macro to calculate all the first covariant derivatives of the \n extrinsic curvature with respect to x, y, z\n @enddesc\n@@*/\n\n#ifndef CDK_GUTS\n#define CDK_GUTS\n\n#include \"CDXCDK_guts.h\"\n#include \"CDYCDK_guts.h\"\n#include \"CDZCDK_guts.h\"\n\n#endif\n", + "macro/DZZDG_declare.h": "/*@@\n @header DZZDG_declare.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n Declarations for macro to calculate the (first and) second derivatives \n of the physical metric with respect to z\n\n The macro uses @seefile DZDG_guts.h and @seefile DZDG_declare.h\n @enddesc\n@@*/\n\n#ifndef DZZDG_DECLARE\n#define DZZDG_DECLARE\n\n#include \"DZDG_declare.h\"\n\n#ifdef FCODE\n\n/* Output variables */\n#undef DZZDG_DZZDGXX\n#define DZZDG_DZZDGXX dzzdgxx\n#undef DZZDG_DZZDGXY\n#define DZZDG_DZZDGXY dzzdgxy\n#undef DZZDG_DZZDGXZ\n#define DZZDG_DZZDGXZ dzzdgxz\n#undef DZZDG_DZZDGYY\n#define DZZDG_DZZDGYY dzzdgyy\n#undef DZZDG_DZZDGYZ\n#define DZZDG_DZZDGYZ dzzdgyz\n#undef DZZDG_DZZDGZZ\n#define DZZDG_DZZDGZZ dzzdgzz\n\n/* Internal variables */\n#undef DZZDG_FAC\n#define DZZDG_FAC dzzdg_fac\n#undef DZZDG_OODZ2\n#define DZZDG_OODZ2 dzzdg_oodz2\n#undef DZZDG_DZZDPSI_O_PSI\n#define DZZDG_DZZDPSI_O_PSI 0.\n\n/* Declare internal variables */\n CCTK_REAL DZZDG_FAC\n CCTK_REAL DZZDG_OODZ2\n\n/* Declare output variables */\n CCTK_REAL DZZDG_DZZDGXX\n CCTK_REAL DZZDG_DZZDGXY\n CCTK_REAL DZZDG_DZZDGXZ\n CCTK_REAL DZZDG_DZZDGYY\n CCTK_REAL DZZDG_DZZDGYZ\n CCTK_REAL DZZDG_DZZDGZZ\n\n#endif\n\n#ifdef CCODE\n\n/* Output variables */\n#undef DZZDG_DZZDGXX\n#define DZZDG_DZZDGXX deldelg3311\n#undef DZZDG_DZZDGXY\n#define DZZDG_DZZDGXY deldelg3312\n#undef DZZDG_DZZDGXZ\n#define DZZDG_DZZDGXZ deldelg3313\n#undef DZZDG_DZZDGYY\n#define DZZDG_DZZDGYY deldelg3322\n#undef DZZDG_DZZDGYZ\n#define DZZDG_DZZDGYZ deldelg3323\n#undef DZZDG_DZZDGZZ\n#define DZZDG_DZZDGZZ deldelg3333\n\n/* Internal variables */\n#undef DZZDG_FAC\n#define DZZDG_FAC dzzdg_fac\n#undef DZZDG_OODZ2\n#define DZZDG_OODZ2 dzzdg_oodz2\n#undef DZZDG_DZZDPSI_O_PSI\n#define DZZDG_DZZDPSI_O_PSI 0.\n\n/* Declare internal variables */\nCCTK_REAL DZZDG_FAC;\nCCTK_REAL DZZDG_OODZ2 = 1/(cctkGH->cctk_delta_space[2]*cctkGH->cctk_delta_space[2]);\n\n/* Declare output variables */\nCCTK_REAL DZZDG_DZZDGXX;\nCCTK_REAL DZZDG_DZZDGXY;\nCCTK_REAL DZZDG_DZZDGXZ;\nCCTK_REAL DZZDG_DZZDGYY;\nCCTK_REAL DZZDG_DZZDGYZ;\nCCTK_REAL DZZDG_DZZDGZZ;\n\n#endif\n\n#endif\n", + "macro/DXDG_guts.h": "/*@@\n @header DXDG_guts.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n Macro to calculate the first derivatives of the \n physical metric with respect to x\n\n The macro is defined in terms of standard variables in\n @seefile DXDG_declare.h\n @enddesc\n@@*/\n\n#ifndef DXDG_GUTS\n#define DXDG_GUTS\n\n#include \"DXDCG_guts.h\"\n\n#ifdef FCODE \n\n DXDG_PSI4 = 1\n DXDG_FAC = 0\n\n DXDG_DXDGXX = DXDCG_DXDCGXX*DXDG_PSI4 + DXDG_FAC*DXDG_GXX\n DXDG_DXDGXY = DXDCG_DXDCGXY*DXDG_PSI4 + DXDG_FAC*DXDG_GXY\n DXDG_DXDGXZ = DXDCG_DXDCGXZ*DXDG_PSI4 + DXDG_FAC*DXDG_GXZ\n DXDG_DXDGYY = DXDCG_DXDCGYY*DXDG_PSI4 + DXDG_FAC*DXDG_GYY\n DXDG_DXDGYZ = DXDCG_DXDCGYZ*DXDG_PSI4 + DXDG_FAC*DXDG_GYZ\n DXDG_DXDGZZ = DXDCG_DXDCGZZ*DXDG_PSI4 + DXDG_FAC*DXDG_GZZ\n \n#endif\n\n#ifdef CCODE\n\n DXDG_PSI4 = 1;\n\n DXDG_FAC = 0;\n\n DXDG_DXDGXX = DXDCG_DXDCGXX*DXDG_PSI4 + DXDG_FAC*DXDG_GXX;\n DXDG_DXDGXY = DXDCG_DXDCGXY*DXDG_PSI4 + DXDG_FAC*DXDG_GXY;\n DXDG_DXDGXZ = DXDCG_DXDCGXZ*DXDG_PSI4 + DXDG_FAC*DXDG_GXZ;\n DXDG_DXDGYY = DXDCG_DXDCGYY*DXDG_PSI4 + DXDG_FAC*DXDG_GYY;\n DXDG_DXDGYZ = DXDCG_DXDCGYZ*DXDG_PSI4 + DXDG_FAC*DXDG_GYZ;\n DXDG_DXDGZZ = DXDCG_DXDCGZZ*DXDG_PSI4 + DXDG_FAC*DXDG_GZZ;\n\n#endif\n\n#endif\n", + "macro/DZDCG_undefine.h": "/*@@\n @header DZDCG_undefine.h\n @date Jul 98\n @author Gabrielle Allen\n @desc\n @enddesc\n@@*/\n\n#undef DZDCG_GUTS\n\n", + "macro/DDG_undefine.h": "/*@@\n @header DDG_undefine.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n @enddesc\n@@*/ \n\n#undef DDG_GUTS\n\n#include \"DXXDG_undefine.h\"\n#include \"DXYDG_undefine.h\"\n#include \"DXZDG_undefine.h\"\n#include \"DYYDG_undefine.h\"\n#include \"DYZDG_undefine.h\"\n#include \"DZZDG_undefine.h\"\n\n", + "macro/CDCDA_guts.h": "/*@@\n @header CDCDA_guts.h\n @date Jul 98\n @author Gabrielle Allen\n @desc\n Macro to calculate all second covariant spatial derivative of lapse\n\n That is alpha_{;ij}\n\n @enddesc\n@@*/\n\n#ifndef CDCDA_GUTS\n#define CDCDA_GUTS\n\n#include \"DA_guts.h\"\n#include \"DDA_guts.h\"\n#include \"CHR2_guts.h\"\n\n#ifdef FCODE \n\n CDCDA_CDXXDA = (DDA_DXXDA-CHR2_XXX*DA_DXDA-CHR2_YXX*DA_DYDA-CHR2_ZXX*DA_DZDA)\n CDCDA_CDXYDA = (DDA_DXYDA-CHR2_XXY*DA_DXDA-CHR2_YXY*DA_DYDA-CHR2_ZXY*DA_DZDA)\n CDCDA_CDXZDA = (DDA_DXZDA-CHR2_XXZ*DA_DXDA-CHR2_YXZ*DA_DYDA-CHR2_ZXZ*DA_DZDA)\n CDCDA_CDYYDA = (DDA_DYYDA-CHR2_XYY*DA_DXDA-CHR2_YYY*DA_DYDA-CHR2_ZYY*DA_DZDA)\n CDCDA_CDYZDA = (DDA_DYZDA-CHR2_XYZ*DA_DXDA-CHR2_YYZ*DA_DYDA-CHR2_ZYZ*DA_DZDA)\n CDCDA_CDZZDA = (DDA_DZZDA-CHR2_XZZ*DA_DXDA-CHR2_YZZ*DA_DYDA-CHR2_ZZZ*DA_DZDA)\n\n#endif\n\n#ifdef CCODE\n\n CDCDA_CDXXDA = (DDA_DXXDA-CHR2_XXX*DA_DXDA-CHR2_YXX*DA_DYDA-CHR2_ZXX*DA_DZDA);\n CDCDA_CDXYDA = (DDA_DXYDA-CHR2_XXY*DA_DXDA-CHR2_YXY*DA_DYDA-CHR2_ZXY*DA_DZDA);\n CDCDA_CDXZDA = (DDA_DXZDA-CHR2_XXZ*DA_DXDA-CHR2_YXZ*DA_DYDA-CHR2_ZXZ*DA_DZDA);\n CDCDA_CDYYDA = (DDA_DYYDA-CHR2_XYY*DA_DXDA-CHR2_YYY*DA_DYDA-CHR2_ZYY*DA_DZDA);\n CDCDA_CDYZDA = (DDA_DYZDA-CHR2_XYZ*DA_DXDA-CHR2_YYZ*DA_DYDA-CHR2_ZYZ*DA_DZDA);\n CDCDA_CDZZDA = (DDA_DZZDA-CHR2_XZZ*DA_DXDA-CHR2_YZZ*DA_DYDA-CHR2_ZZZ*DA_DZDA);\n\n#endif\n\n#endif\n\n", + "macro/DETG_guts.h": "/*\nDETG_guts.h\n\nMacro to calculate the determinants of the conformal and\nphysical 3-metric\n\nGabrielle Allen, 5th November 1998\n\n*/\n\n#ifndef DETG_GUTS\n#define DETG_GUTS\n\n#ifdef FCODE\n\n DETG_PSI4 = 1.0d0\n\n DETG_TEMPXX = DETG_GYY*DETG_GZZ - DETG_GYZ*DETG_GYZ\n DETG_TEMPXY = DETG_GXZ*DETG_GYZ - DETG_GXY*DETG_GZZ\n DETG_TEMPXZ = -DETG_GXZ*DETG_GYY + DETG_GXY*DETG_GYZ\n DETG_TEMPYY = DETG_GXX*DETG_GZZ - DETG_GXZ*DETG_GXZ\n DETG_TEMPYZ = DETG_GXY*DETG_GXZ - DETG_GXX*DETG_GYZ\n DETG_TEMPZZ = DETG_GXX*DETG_GYY - DETG_GXY*DETG_GXY\n\n/* This is the conformal determinant */\n DETG_DETCG = (DETG_TEMPXX*DETG_GXX + \\\n DETG_TEMPXY*DETG_GXY + DETG_TEMPXZ*DETG_GXZ)\n\n/* This is the physical determinat */\n DETG_DETG = DETG_PSI4**3*DETG_DETCG\n\n#endif\n\n#ifdef CCODE\n\nDETG_PSI4 = 1;\n\nDETG_TEMPXX = DETG_GYY*DETG_GZZ - DETG_GYZ*DETG_GYZ;\nDETG_TEMPXY = DETG_GXZ*DETG_GYZ - DETG_GXY*DETG_GZZ;\nDETG_TEMPXZ = -DETG_GXZ*DETG_GYY + DETG_GXY*DETG_GYZ;\nDETG_TEMPYY = DETG_GXX*DETG_GZZ - DETG_GXZ*DETG_GXZ;\nDETG_TEMPYZ = DETG_GXY*DETG_GXZ - DETG_GXX*DETG_GYZ;\nDETG_TEMPZZ = DETG_GXX*DETG_GYY - DETG_GXY*DETG_GXY;\n\n/* This is the conformal determinant */\nDETG_DETCG = (DETG_TEMPXX*DETG_GXX + \n DETG_TEMPXY*DETG_GXY + DETG_TEMPXZ*DETG_GXZ);\n\n/* This is the physical determinat */\nDETG_DETG = DETG_PSI4*DETG_PSI4*DETG_PSI4*DETG_DETCG;\n\n#endif\n\n#endif\n", + "macro/DYDCG_undefine.h": "/*@@\n @header DYDCG_undefine.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n @enddesc\n@@*/\n\n#undef DYDCG_GUTS\n\n", + "macro/DYDB_guts.h": "/*@@\n @header DYDB_guts.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n\n Macro to calculate the first derivatives of the \n shift with respect to y\n\n The macro is defined in terms of standard variables in\n @seefile DYDB_declare.h\n @enddesc\n@@*/\n\n#ifndef DYDB_GUTS\n#define DYDB_GUTS\n\n#ifdef FCODE \n\n#include \"ADM_Derivative.h\"\n\n if (local_spatial_order.eq.2) then\n DYDB_DYDBX = ADM_DY_2(betax,i,j,k)\n DYDB_DYDBY = ADM_DY_2(betay,i,j,k)\n DYDB_DYDBZ = ADM_DY_2(betaz,i,j,k)\n else\n DYDB_DYDBX = ADM_DY_4(betax,i,j,k)\n DYDB_DYDBY = ADM_DY_4(betay,i,j,k)\n DYDB_DYDBZ = ADM_DY_4(betaz,i,j,k)\n end if\n\n#endif\n\n#ifdef CCODE\n\n DYDB_OO2DY = 1/(2*cctkGH->cctk_delta_space[1]);\n \n DYDB_DYDBX = DYDB_OO2DY*(DYDB_BX_JP - DYDB_BX_JM);\n DYDB_DYDBY = DYDB_OO2DY*(DYDB_BY_JP - DYDB_BY_JM);\n DYDB_DYDBZ = DYDB_OO2DY*(DYDB_BZ_JP - DYDB_BZ_JM);\n\n#endif\n\n#endif\n\n", + "macro/DZDK_undefine.h": "/*@@\n @header DZDG_undefine.h\n @date Jul 98\n @author Gabrielle Allen\n @desc\n @enddesc\n@@*/\n\n#undef DZDK_GUTS\n\n\n", + "macro/NABA_undefine.h": "/*@@\n @header NABA_undefine.h\n @date Jul 98\n @author Gabrielle Allen\n @desc\n @enddesc\n@@*/\n\n#undef NABA_GUTS\n\n#include \"UPPERMET_undefine.h\"\n#include \"CDCDA_undefine.h\"\n\n\n", + "macro/ADM_Spacing_undefine.h": "/*@@\n @header ADM_Spacing_undefine.h\n @date December 2004\n @author Erik Schnetter\n @desc\n Undefine various spacing dependent scalars.\n @enddesc\n@@*/\n\n#undef ADM_SPACING_H\n", + "macro/UPPERMET_guts.h": "/*\nUPPERMET_guts.h\n\nMacro to calculate the components of the upper physical metric,\nand as an offspin the determinant of the conformal(?) metric. \n\nGabrielle Allen, 11th June 1998\n\n*/\n\n#ifndef UPPERMET_GUTS\n#define UPPERMET_GUTS\n\n#include \"DETG_guts.h\"\n\n#ifdef FCODE\n\n IUPPERMET_PSI4DET = 1.d0 / (DETG_PSI4*DETG_DETCG)\n\n UPPERMET_UXX = DETG_TEMPXX*IUPPERMET_PSI4DET\n UPPERMET_UXY = DETG_TEMPXY*IUPPERMET_PSI4DET\n UPPERMET_UXZ = DETG_TEMPXZ*IUPPERMET_PSI4DET\n UPPERMET_UYY = DETG_TEMPYY*IUPPERMET_PSI4DET\n UPPERMET_UYZ = DETG_TEMPYZ*IUPPERMET_PSI4DET\n UPPERMET_UZZ = DETG_TEMPZZ*IUPPERMET_PSI4DET\n\n#endif\n\n#ifdef CCODE\n\nIUPPERMET_PSI4DET = 1.0 / (DETG_PSI4*DETG_DETCG);\n\nUPPERMET_UXX = DETG_TEMPXX*IUPPERMET_PSI4DET;\nUPPERMET_UXY = DETG_TEMPXY*IUPPERMET_PSI4DET;\nUPPERMET_UXZ = DETG_TEMPXZ*IUPPERMET_PSI4DET;\nUPPERMET_UYY = DETG_TEMPYY*IUPPERMET_PSI4DET;\nUPPERMET_UYZ = DETG_TEMPYZ*IUPPERMET_PSI4DET;\nUPPERMET_UZZ = DETG_TEMPZZ*IUPPERMET_PSI4DET;\n\n#endif\n\n#endif\n", + "macro/TRT_declare.h": "/*@@\n @header TRT_guts.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n\n Declarations for macro to calculate the trace of the \n (4-)stress-energy tensor\n\n @enddesc\n@@*/\n\n#ifndef TRT_DECLARE\n#define TRT_DECLARE\n\n#include \"UPPERMET_declare.h\"\n\n#ifdef FCODE\n\n/* Input variables */\n#undef TRT_TTT\n#define TRT_TTT Ttt\n#undef TRT_TTX\n#define TRT_TTX Ttx\n#undef TRT_TTY\n#define TRT_TTY Tty\n#undef TRT_TTZ\n#define TRT_TTZ Ttz\n#undef TRT_TXX\n#define TRT_TXX Txx\n#undef TRT_TXY\n#define TRT_TXY Txy\n#undef TRT_TXZ\n#define TRT_TXZ Txz\n#undef TRT_TYY\n#define TRT_TYY Tyy\n#undef TRT_TYZ\n#define TRT_TYZ Tyz\n#undef TRT_TZZ\n#define TRT_TZZ Tzz\n#undef TRT_ALP\n#define TRT_ALP alp(i,j,k)\n#undef TRT_BX\n#define TRT_BX betax(i,j,k)\n#undef TRT_BY\n#define TRT_BY betay(i,j,k)\n#undef TRT_BZ\n#define TRT_BZ betaz(i,j,k)\n\n/* Temporary variables */\n#undef TRT_IALP2 \n#define TRT_IALP2 trt_ialp2\n\n/* Output variables */\n#undef TRT_TRT\n#define TRT_TRT trt_trt\n\n/* Declare temporary variables */\n CCTK_REAL TRT_IALP2\n\n/* Declare output variables */\n CCTK_REAL TRT_TRT\n\n#endif\n\n#ifdef CCODE\n\n/* Input variables */\n#undef TRT_TTT\n#define TRT_TTT Ttt\n#undef TRT_TTX\n#define TRT_TTX Ttx\n#undef TRT_TTY\n#define TRT_TTY Tty\n#undef TRT_TTZ\n#define TRT_TTZ Ttz\n#undef TRT_TXX\n#define TRT_TXX Txx\n#undef TRT_TXY\n#define TRT_TXY Txy\n#undef TRT_TXZ\n#define TRT_TXZ Txz\n#undef TRT_TYY\n#define TRT_TYY Tyy\n#undef TRT_TYZ\n#define TRT_TYZ Tyz\n#undef TRT_TZZ\n#define TRT_TZZ Tzz\n#undef TRT_ALP\n#define TRT_ALP alp[ijk]\n#undef TRT_BX\n#define TRT_BX betax[ijk]\n#undef TRT_BY\n#define TRT_BY betay[ijk]\n#undef TRT_BZ\n#define TRT_BZ betaz[ijk]\n\n/* Temporary variables */\n#undef TRT_IALP2 \n#define TRT_IALP2 trt_ialp2\n\n/* Output variables */\n#undef TRT_TRT\n#define TRT_TRT trt_trt\n\n/* Declare temporary variables */\n CCTK_REAL TRT_IALP2;\n\n/* Declare output variables */\n CCTK_REAL TRT_TR;\n\n#endif\n\n#endif\n", + "macro/CHR1_undefine.h": "/*@@\n @header CHR1_undefine.h\n @date Jul 98\n @author Gabrielle Allen\n @desc\n @enddesc\n@@*/\n\n#undef CHR1_GUTS\n\n#include \"DG_undefine.h\"\n\n\n", + "macro/CDK_declare.h": "/*@@\n @header CDG_declare.h\n @date Aug 98\n @author Gabrielle Allen\n @desc\n\n Declarations for macro to calculate all the first covariant \n derivatives of the extrinsic curvature with respect to x, y, z.\n @enddesc\n@@*/\n\n#ifndef CDK_DECLARE\n#define CDK_DECLARE\n\n#include \"CDXCDK_declare.h\"\n#include \"CDYCDK_declare.h\"\n#include \"CDZCDK_declare.h\"\n\n#endif\n", + "macro/DZDG_declare.h": "/*@@\n @header DZDG_declare.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n Declarations for macro @seefile DZDG_guts.h to compute first \n derivatives of the physical metric with respect to y\n @enddesc\n@@*/\n\n#ifndef DZDG_DECLARE\n#define DZDG_DECLARE\n\n#include \"DZDCG_declare.h\"\n\n#ifdef FCODE\n\n/* Input variables */\n#undef DZDG_PSI\n#define DZDG_PSI 1.\n\n#undef DZDG_DZDPSI_O_PSI\n#define DZDG_DZDPSI_O_PSI 0.\n\n#undef DZDG_GXX \n#define DZDG_GXX gxx(i,j,k)\n#undef DZDG_GXY \n#define DZDG_GXY gxy(i,j,k)\n#undef DZDG_GXZ \n#define DZDG_GXZ gxz(i,j,k)\n#undef DZDG_GYY \n#define DZDG_GYY gyy(i,j,k)\n#undef DZDG_GYZ \n#define DZDG_GYZ gyz(i,j,k)\n#undef DZDG_GZZ \n#define DZDG_GZZ gzz(i,j,k)\n\n/* Output variables */ \n#undef DZDG_DZDGXX\n#define DZDG_DZDGXX dzdgxx\n#undef DZDG_DZDGXY\n#define DZDG_DZDGXY dzdgxy\n#undef DZDG_DZDGXZ\n#define DZDG_DZDGXZ dzdgxz\n#undef DZDG_DZDGYY\n#define DZDG_DZDGYY dzdgyy\n#undef DZDG_DZDGYZ\n#define DZDG_DZDGYZ dzdgyz\n#undef DZDG_DZDGZZ\n#define DZDG_DZDGZZ dzdgzz\n\n/* Internal variables */\n#undef DZDG_PSI4\n#define DZDG_PSI4 dzdg_psi4\n\n#undef DZDG_FAC\n#define DZDG_FAC dzdg_fac\n\n/* Declare internal variables */\n CCTK_REAL DZDG_PSI4;\n CCTK_REAL DZDG_FAC;\n\n/* Declare output variables */\n CCTK_REAL DZDG_DZDGXX;\n CCTK_REAL DZDG_DZDGXY;\n CCTK_REAL DZDG_DZDGXZ;\n CCTK_REAL DZDG_DZDGYY;\n CCTK_REAL DZDG_DZDGYZ;\n CCTK_REAL DZDG_DZDGZZ;\n\n#endif\n\n\n#ifdef CCODE\n\n/* Output variables */ \n#undef DZDG_DZDGXX\n#define DZDG_DZDGXX delg311\n#undef DZDG_DZDGXY\n#define DZDG_DZDGXY delg312\n#undef DZDG_DZDGXZ\n#define DZDG_DZDGXZ delg313\n#undef DZDG_DZDGYY\n#define DZDG_DZDGYY delg322\n#undef DZDG_DZDGYZ\n#define DZDG_DZDGYZ delg323\n#undef DZDG_DZDGZZ\n#define DZDG_DZDGZZ delg333\n\n/* Input variables */\n\n#undef DZDG_PSI\n#define DZDG_PSI 1.\n\n#undef DZDG_DZDPSI_O_PSI\n#define DZDG_DZDPSI_O_PSI 0.\n\n#undef DZDG_GXX \n#define DZDG_GXX gxx[ijk]\n#undef DZDG_GXY \n#define DZDG_GXY gxy[ijk]\n#undef DZDG_GXZ \n#define DZDG_GXZ gxz[ijk]\n#undef DZDG_GYY \n#define DZDG_GYY gyy[ijk]\n#undef DZDG_GYZ \n#define DZDG_GYZ gyz[ijk]\n#undef DZDG_GZZ \n#define DZDG_GZZ gzz[ijk]\n\n/* Internal variables */\n#undef DZDG_PSI4\n#define DZDG_PSI4 dzdg_psi4\n\n#undef DZDG_FAC\n#define DZDG_FAC dzdg_fac\n\n/* Declare internal variables */\nCCTK_REAL DZDG_PSI4;\nCCTK_REAL DZDG_FAC;\n\n/* Declare output variables */\nCCTK_REAL DZDG_DZDGXX;\nCCTK_REAL DZDG_DZDGXY;\nCCTK_REAL DZDG_DZDGXZ;\nCCTK_REAL DZDG_DZDGYY;\nCCTK_REAL DZDG_DZDGYZ;\nCCTK_REAL DZDG_DZDGZZ;\n\n#endif\n\n#endif\n", + "macro/DDA_declare.h": "/*@@\n @header DDA_declare.h\n @date Jul 98\n @author Gabrielle Allen\n @desc\n Declarations for macro @seefile DDA_guts.h to compute second\n spatial derivatives of the lapse\n @enddesc\n@@*/\n\n#ifndef DDA_DECLARE\n#define DDA_DECLARE\n\n#ifdef FCODE\n\n/* Input variables */\n#undef DDA_A\n#define DDA_A alp(i,j,k)\n#undef DDA_A_IP \n#define DDA_A_IP alp(i+1,j,k)\n#undef DDA_A_IM\n#define DDA_A_IM alp(i-1,j,k)\n#undef DDA_A_JP \n#define DDA_A_JP alp(i,j+1,k)\n#undef DDA_A_JM \n#define DDA_A_JM alp(i,j-1,k)\n#undef DDA_A_KP \n#define DDA_A_KP alp(i,j,k+1)\n#undef DDA_A_KM\n#define DDA_A_KM alp(i,j,k-1)\n#undef DDA_A_IPJP \n#define DDA_A_IPJP alp(i+1,j+1,k)\n#undef DDA_A_IPJM \n#define DDA_A_IPJM alp(i+1,j-1,k)\n#undef DDA_A_IMJP \n#define DDA_A_IMJP alp(i-1,j+1,k)\n#undef DDA_A_IMJM \n#define DDA_A_IMJM alp(i-1,j-1,k)\n#undef DDA_A_IPKP \n#define DDA_A_IPKP alp(i+1,j,k+1)\n#undef DDA_A_IPKM \n#define DDA_A_IPKM alp(i+1,j,k-1)\n#undef DDA_A_IMKP \n#define DDA_A_IMKP alp(i-1,j,k+1)\n#undef DDA_A_IMKM \n#define DDA_A_IMKM alp(i-1,j,k-1)\n#undef DDA_A_JPKP \n#define DDA_A_JPKP alp(i,j+1,k+1)\n#undef DDA_A_JPKM \n#define DDA_A_JPKM alp(i,j+1,k-1)\n#undef DDA_A_JMKP \n#define DDA_A_JMKP alp(i,j-1,k+1)\n#undef DDA_A_JMKM \n#define DDA_A_JMKM alp(i,j-1,k-1)\n\n/* Output variables */ \n#undef DDA_DXXDA\n#define DDA_DXXDA dda_dxxda\n#undef DDA_DXYDA\n#define DDA_DXYDA dda_dxyda\n#undef DDA_DXZDA\n#define DDA_DXZDA dda_dxzda\n#undef DDA_DYYDA\n#define DDA_DYYDA dda_dyyda\n#undef DDA_DYZDA\n#define DDA_DYZDA dda_dyzda\n#undef DDA_DZZDA\n#define DDA_DZZDA dda_dzzda\n\n/* Internal variables */\n#undef DDA_OODX2 \n#define DDA_OODX2 dda_oodx2\n#undef DDA_OODY2 \n#define DDA_OODY2 dda_oody2\n#undef DDA_OODZ2 \n#define DDA_OODZ2 dda_oodz2\n#undef DDA_OO4DXDY\n#define DDA_OO4DXDY dda_oo4dxdy\n#undef DDA_OO4DXDZ\n#define DDA_OO4DXDZ dda_oo4dxdz\n#undef DDA_OO4DYDZ\n#define DDA_OO4DYDZ dda_oo4dydz\n#undef DDA_DX\n#define DDA_DX dx\n#undef DDA_DY\n#define DDA_DY dy\n#undef DDA_DZ\n#define DDA_DZ dz\n\n/* Declare internal variables */\n CCTK_REAL DDA_OODX2\n CCTK_REAL DDA_OODY2\n CCTK_REAL DDA_OODZ2\n CCTK_REAL DDA_OO4DXDY\n CCTK_REAL DDA_OO4DXDZ\n CCTK_REAL DDA_OO4DYDZ\n\n/* Declare output variables */\n CCTK_REAL DDA_DXXDA\n CCTK_REAL DDA_DXYDA\n CCTK_REAL DDA_DXZDA\n CCTK_REAL DDA_DYYDA\n CCTK_REAL DDA_DYZDA\n CCTK_REAL DDA_DZZDA\n\n#endif\n\n\n#ifdef CCODE\n\n/* Input variables */\n#undef DDA_A\n#define DDA_A alp[ijk]\n#undef DDA_A_IP \n#define DDA_A_IP alp[ di + ijk]\n#undef DDA_A_IM\n#define DDA_A_IM alp[-di + ijk]\n#undef DDA_A_JP \n#define DDA_A_JP alp[ dj + ijk]\n#undef DDA_A_JM \n#define DDA_A_JM alp[-dj + ijk]\n#undef DDA_A_KP \n#define DDA_A_KP alp[ dk + ijk]\n#undef DDA_A_KM\n#define DDA_A_KM alp[-dk + ijk]\n#undef DDA_A_IPJP \n#define DDA_A_IPJP alp[ di + dj + ijk]\n#undef DDA_A_IPJM \n#define DDA_A_IPJM alp[ di - dj + ijk]\n#undef DDA_A_IMJP \n#define DDA_A_IMJP alp[-di + dj + ijk]\n#undef DDA_A_IMJM \n#define DDA_A_IMJM alp[-di - dj + ijk]\n#undef DDA_A_IPKP \n#define DDA_A_IPKP alp[ di + dk + ijk]\n#undef DDA_A_IPKM \n#define DDA_A_IPKM alp[ di - dk + ijk]\n#undef DDA_A_IMKP \n#define DDA_A_IMKP alp[-di + dk + ijk]\n#undef DDA_A_IMKM \n#define DDA_A_IMKM alp[-di - dk + ijk]\n#undef DDA_A_JPKP \n#define DDA_A_JPKP alp[ dj + dk + ijk]\n#undef DDA_A_JPKM \n#define DDA_A_JPKM alp[ dj - dk + ijk]\n#undef DDA_A_JMKP \n#define DDA_A_JMKP alp[-dj + dk + ijk]\n#undef DDA_A_JMKM \n#define DDA_A_JMKM alp[-dj - dk + ijk]\n\n/* Output variables */ \n#undef DDA_DXXDA\n#define DDA_DXXDA dda_dxxda\n#undef DDA_DXYDA\n#define DDA_DXYDA dda_dxyda\n#undef DDA_DXZDA\n#define DDA_DXZDA dda_dxzda\n#undef DDA_DYYDA\n#define DDA_DYYDA dda_dyyda\n#undef DDA_DYZDA\n#define DDA_DYZDA dda_dyzda\n#undef DDA_DZZDA\n#define DDA_DZZDA dda_dzzda\n\n/* Internal variables */\n#undef DDA_OODX2 \n#define DDA_OODX2 dda_oodx2\n#undef DDA_OODY2 \n#define DDA_OODY2 dda_oody2\n#undef DDA_OODZ2 \n#define DDA_OODZ2 dda_oodz2\n#undef DDA_OO4DXDY\n#define DDA_OO4DXDY dda_oo4dxdy\n#undef DDA_OO4DXDZ\n#define DDA_OO4DXDZ dda_oo4dxdz\n#undef DDA_OO4DYDZ\n#define DDA_OO4DYDZ dda_oo4dydz\n#undef DDA_DX \n#define DDA_DX cctkGH->cctk_delta_space[0]\n#undef DDA_DY \n#define DDA_DY cctkGH->cctk_delta_space[1]\n#undef DDA_DZ \n#define DDA_DZ cctkGH->cctk_delta_space[2]\n\n/* Declare internal variables */\n CCTK_REAL DDA_OODX2;\n CCTK_REAL DDA_OODY2;\n CCTK_REAL DDA_OODZ2;\n CCTK_REAL DDA_OO4DXDY;\n CCTK_REAL DDA_OO4DXDZ;\n CCTK_REAL DDA_OO4DYDZ;\n\n/* Declare output variables */\n CCTK_REAL DDA_DXXDA;\n CCTK_REAL DDA_DXYDA;\n CCTK_REAL DDA_DXZDA;\n CCTK_REAL DDA_DYYDA;\n CCTK_REAL DDA_DYZDA;\n CCTK_REAL DDA_DZZDA;\n\n#endif\n\n#endif\n", + "macro/DYDK_undefine.h": "/*@@\n @header DYDG_undefine.h\n @date Jul 98\n @author Gabrielle Allen\n @desc\n @enddesc\n@@*/\n\n#undef DYDK_GUTS\n\n\n", + "macro/TRKK_guts.h": "/*@@\n @header TRKK_guts.h\n @date Aug 98\n @author Gabrielle Allen\n @desc\n\n Macro to calculate the trace of the K_lj K^j_i\n\n @enddesc\n@@*/\n\n#ifndef TRKK_GUTS\n#define TRKK_GUTS\n\n#include \"UPPERMET_guts.h\"\n#include \"KK_guts.h\"\n\n#ifdef FCODE\n\n TRKK_TRKK = UPPERMET_UXX*KK_KKXX + UPPERMET_UYY*KK_KKYY \\\n + UPPERMET_UZZ*KK_KKZZ + 2D0*(UPPERMET_UXY*KK_KKXY \\\n + UPPERMET_UXZ*KK_KKXZ + UPPERMET_UYZ*KK_KKYZ)\n \n#endif\n\n#ifdef CCODE\n \n TRKK_TRKK = UPPERMET_UXX*KK_KKXX + UPPERMET_UYY*KK_KKYY\n + UPPERMET_UZZ*KK_KKZZ + 2.0*(UPPERMET_UXY*KK_KKXY\n + UPPERMET_UXZ*KK_KKXZ + UPPERMET_UYZ*KK_KKYZ);\n \n#endif\n\n#endif\n \n", + "macro/DZZDG_guts.h": "/*@@\n @header DZZDG_guts.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n Macro to calculate the (first and) second derivatives of the \n physical metric with respect to z\n\n The macro is defined in terms of standard variables in\n @seefile DZZDG_declare.h\n\n The macro uses @seefile DZDG_guts.h and @seefile DZDG_declare.h\n @enddesc\n@@*/\n\n#ifndef DZZDG_GUTS\n#define DZZDG_GUTS\n\n#include \"DZDG_guts.h\"\n\n#ifdef FCODE \n\n#include \"ADM_Derivative.h\"\n\n /* Factor involving 2nd derivative of conformal factor, nowadays zero */ \n DZZDG_FAC = 0\n\n if (local_spatial_order.eq.2) then\n DZZDG_DZZDGXX = 2*DZDCG_DZDCGXX*DZDG_FAC + DZZDG_FAC*DZDG_GXX \\\n + DZDG_PSI4*ADM_DZZ_2(gxx,i,j,k)\n\n DZZDG_DZZDGXY = 2*DZDCG_DZDCGXY*DZDG_FAC + DZZDG_FAC*DZDG_GXY \\\n + DZDG_PSI4*ADM_DZZ_2(gxy,i,j,k)\n\n DZZDG_DZZDGXZ = 2*DZDCG_DZDCGXZ*DZDG_FAC + DZZDG_FAC*DZDG_GXZ \\\n + DZDG_PSI4*ADM_DZZ_2(gxz,i,j,k)\n\n DZZDG_DZZDGYY = 2*DZDCG_DZDCGYY*DZDG_FAC + DZZDG_FAC*DZDG_GYY \\\n + DZDG_PSI4*ADM_DZZ_2(gyy,i,j,k)\n\n DZZDG_DZZDGYZ = 2*DZDCG_DZDCGYZ*DZDG_FAC + DZZDG_FAC*DZDG_GYZ \\\n + DZDG_PSI4*ADM_DZZ_2(gyz,i,j,k)\n\n DZZDG_DZZDGZZ = 2*DZDCG_DZDCGZZ*DZDG_FAC + DZZDG_FAC*DZDG_GZZ \\\n + DZDG_PSI4*ADM_DZZ_2(gzz,i,j,k)\n else\n DZZDG_DZZDGXX = 2*DZDCG_DZDCGXX*DZDG_FAC + DZZDG_FAC*DZDG_GXX \\\n + DZDG_PSI4*ADM_DZZ_4(gxx,i,j,k)\n\n DZZDG_DZZDGXY = 2*DZDCG_DZDCGXY*DZDG_FAC + DZZDG_FAC*DZDG_GXY \\\n + DZDG_PSI4*ADM_DZZ_4(gxy,i,j,k)\n\n DZZDG_DZZDGXZ = 2*DZDCG_DZDCGXZ*DZDG_FAC + DZZDG_FAC*DZDG_GXZ \\\n + DZDG_PSI4*ADM_DZZ_4(gxz,i,j,k)\n\n DZZDG_DZZDGYY = 2*DZDCG_DZDCGYY*DZDG_FAC + DZZDG_FAC*DZDG_GYY \\\n + DZDG_PSI4*ADM_DZZ_4(gyy,i,j,k)\n\n DZZDG_DZZDGYZ = 2*DZDCG_DZDCGYZ*DZDG_FAC + DZZDG_FAC*DZDG_GYZ \\\n + DZDG_PSI4*ADM_DZZ_4(gyz,i,j,k)\n\n DZZDG_DZZDGZZ = 2*DZDCG_DZDCGZZ*DZDG_FAC + DZZDG_FAC*DZDG_GZZ \\\n + DZDG_PSI4*ADM_DZZ_4(gzz,i,j,k)\n end if\n#endif\n\n#ifdef CCODE\n\n /* Factor involving 2nd derivative of conformal factor, nowadays zero */ \n DZZDG_FAC = 0;\n\n /* Now calculate the second deriatives */\n DZZDG_DZZDGXX = 2*DZDCG_DZDCGXX*DZDG_FAC+DZZDG_FAC*DZDG_GXX+DZDG_PSI4\n *DZZDG_OODZ2*(DZDCG_GXX_KP-2*DZDG_GXX+DZDCG_GXX_KM);\n\n DZZDG_DZZDGXY = 2*DZDCG_DZDCGXY*DZDG_FAC+DZZDG_FAC*DZDG_GXY+DZDG_PSI4\n *DZZDG_OODZ2*(DZDCG_GXY_KP-2*DZDG_GXY+DZDCG_GXY_KM);\n\n DZZDG_DZZDGXZ = 2*DZDCG_DZDCGXZ*DZDG_FAC+DZZDG_FAC*DZDG_GXZ+DZDG_PSI4\n *DZZDG_OODZ2*(DZDCG_GXZ_KP-2*DZDG_GXZ+DZDCG_GXZ_KM);\n\n DZZDG_DZZDGYY = 2*DZDCG_DZDCGYY*DZDG_FAC+DZZDG_FAC*DZDG_GYY+DZDG_PSI4\n *DZZDG_OODZ2*(DZDCG_GYY_KP-2*DZDG_GYY+DZDCG_GYY_KM);\n\n DZZDG_DZZDGYZ = 2*DZDCG_DZDCGYZ*DZDG_FAC+DZZDG_FAC*DZDG_GYZ+DZDG_PSI4\n *DZZDG_OODZ2*(DZDCG_GYZ_KP-2*DZDG_GYZ+DZDCG_GYZ_KM);\n\n DZZDG_DZZDGZZ = 2*DZDCG_DZDCGZZ*DZDG_FAC+DZZDG_FAC*DZDG_GZZ+DZDG_PSI4\n *DZZDG_OODZ2*(DZDCG_GZZ_KP-2*DZDG_GZZ+DZDCG_GZZ_KM);\n\n#endif\n\n#endif\n", + "macro/MOMZADM_declare.h": "/*@@\n @header MOMZADM_declare.h\n @date Aug 98\n @author Gabrielle Allen\n @desc\n Declarations for macro to calculate vacuum part of \n z-Momentum constraint\n \n @enddesc\n@@*/\n\n#ifndef MOMZADM_DECLARE\n#define MOMZADM_DECLARE\n\n#include \"UPPERMET_declare.h\"\n#include \"CDK_declare.h\"\n\n#ifdef FCODE\n\n/* Output variables */ \n#undef MOMZADM_MOMZADM\n#define MOMZADM_MOMZADM momzadm_momzadm\n\n/* Declare output variables */\n CCTK_REAL MOMZADM_MOMZADM\n\n#endif\n\n\n#ifdef CCODE\n\n/* Output variables */\n#undef MOMZADM_MOMZADM\n#define MOMZADM_MOMZADM momzadm_momzadm\n\n/* Declare output variables */\n CCTK_REAL MOMZADM_MOMZADM;\n\n#endif\n\n#endif\n", + "macro/HAMADM_declare.h": "/*@@\n @header HAMADM_declare.h\n @date Aug 98\n @author Gabrielle Allen\n @desc\n Declarations for macro to calculate vacuum part of Hamiltonian\n constraint\n \n @enddesc\n@@*/\n\n#ifndef HAMADM_DECLARE\n#define HAMADM_DECLARE\n\n#include \"TRRICCI_declare.h\"\n#include \"TRKK_declare.h\"\n#include \"TRK_declare.h\"\n\n#ifdef FCODE\n\n/* Output variables */ \n#undef HAMADM_HAMADM\n#define HAMADM_HAMADM hamadm_ham_adm\n\n#undef HAMADM_HAMADMABS\n#define HAMADM_HAMADMABS hamadm_ham_adm_abs\n\n/* Declare output variables */\n CCTK_REAL HAMADM_HAMADM\n CCTK_REAL HAMADM_HAMADMABS\n\n#endif\n\n\n#ifdef CCODE\n\n/* Output variables */\n#undef HAMADM_HAMADM\n#define HAMADM_HAMADM hamadm_ham_adm\n\n#undef HAMADM_HAMADMABS\n#define HAMADM_HAMADMABS hamadm_ham_adm_abs\n\n/* Declare output variables */\n CCTK_REAL HAMADM_HAMADM;\n CCTK_REAL HAMADM_HAMADMABS;\n\n#endif\n\n#endif\n", + "macro/DYYDG_declare.h": "/*@@\n @header DYYDG_declare.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n Declarations for macro to calculate the (first and) second derivatives \n of the physical metric with respect to y\n\n The macro uses @seefile DYDG_guts.h and @seefile DYDG_declare.h\n @enddesc\n@@*/\n\n#ifndef DYYDG_DECLARE\n#define DYYDG_DECLARE\n\n#include \"DYDG_declare.h\"\n\n#ifdef FCODE\n\n/* Output variables */\n#undef DYYDG_DYYDGXX\n#define DYYDG_DYYDGXX dyydgxx\n#undef DYYDG_DYYDGXY\n#define DYYDG_DYYDGXY dyydgxy\n#undef DYYDG_DYYDGXZ\n#define DYYDG_DYYDGXZ dyydgxz\n#undef DYYDG_DYYDGYY\n#define DYYDG_DYYDGYY dyydgyy\n#undef DYYDG_DYYDGYZ\n#define DYYDG_DYYDGYZ dyydgyz\n#undef DYYDG_DYYDGZZ\n#define DYYDG_DYYDGZZ dyydgzz\n\n/* Internal variables */\n#undef DYYDG_FAC\n#define DYYDG_FAC dyydg_fac\n#undef DYYDG_OODY2\n#define DYYDG_OODY2 dyydg_oody2\n#undef DYYDG_DYYDPSI_O_PSI\n#define DYYDG_DYYDPSI_O_PSI 0.\n\n/* Declare internal variables */\n CCTK_REAL DYYDG_FAC\n CCTK_REAL DYYDG_OODY2\n\n/* Declare output variables */\n CCTK_REAL DYYDG_DYYDGXX\n CCTK_REAL DYYDG_DYYDGXY\n CCTK_REAL DYYDG_DYYDGXZ\n CCTK_REAL DYYDG_DYYDGYY\n CCTK_REAL DYYDG_DYYDGYZ\n CCTK_REAL DYYDG_DYYDGZZ\n\n#endif\n\n#ifdef CCODE\n\n/* Output variables */\n#undef DYYDG_DYYDGXX\n#define DYYDG_DYYDGXX deldelg2211\n#undef DYYDG_DYYDGXY\n#define DYYDG_DYYDGXY deldelg2212\n#undef DYYDG_DYYDGXZ\n#define DYYDG_DYYDGXZ deldelg2213\n#undef DYYDG_DYYDGYY\n#define DYYDG_DYYDGYY deldelg2222\n#undef DYYDG_DYYDGYZ\n#define DYYDG_DYYDGYZ deldelg2223\n#undef DYYDG_DYYDGZZ\n#define DYYDG_DYYDGZZ deldelg2233\n\n/* Internal variables */\n#undef DYYDG_FAC\n#define DYYDG_FAC dyydg_fac\n#undef DYYDG_OODY2\n#define DYYDG_OODY2 dyydg_oody2\n#undef DYYDG_DYYDPSI_O_PSI\n#define DYYDG_DYYDPSI_O_PSI 0.\n\n/* Declare internal variables */\nCCTK_REAL DYYDG_FAC;\nCCTK_REAL DYYDG_OODY2 = 1/(cctkGH->cctk_delta_space[1]*cctkGH->cctk_delta_space[1]);\n\n/* Declare output variables */\nCCTK_REAL DYYDG_DYYDGXX;\nCCTK_REAL DYYDG_DYYDGXY;\nCCTK_REAL DYYDG_DYYDGXZ;\nCCTK_REAL DYYDG_DYYDGYY;\nCCTK_REAL DYYDG_DYYDGYZ;\nCCTK_REAL DYYDG_DYYDGZZ;\n\n#endif\n\n#endif\n", + "macro/CHR2_undefine.h": "/*@@\n @header CHR2_undefine.h\n @date Jul 98\n @author Gabrielle Allen\n @desc\n @enddesc\n@@*/\n\n#undef CHR2_GUTS\n\n#include \"CHR1_undefine.h\"\n#include \"UPPERMET_undefine.h\"\n\n", + "macro/MOMXADM_undefine.h": "/*@@\n @header MOMXADM_undefine.h\n @date Aug 98\n @author Gabrielle Allen\n @desc\n @enddesc\n@@*/\n\n#undef MOMXADM_GUTS\n\n#include \"UPPERMET_undefine.h\"\n#include \"CDK_undefine.h\"\n\n\n\n\n\n", + "macro/DDA_guts.h": "/*@@\n @header DDA_guts.h\n @date Jul 98\n @author Gabrielle Allen\n @desc\n Macro to calculate all second spatial derivative of lapse\n @enddesc\n@@*/\n\n#ifndef DDA_GUTS\n#define DDA_GUTS\n\n#ifdef FCODE \n\n#include \"ADM_Derivative.h\"\n\n if (local_spatial_order.eq.2) then\n DDA_DXXDA = ADM_DXX_2(alp,i,j,k)\n DDA_DXYDA = ADM_DXY_2(alp,i,j,k)\n DDA_DXZDA = ADM_DXZ_2(alp,i,j,k)\n DDA_DYYDA = ADM_DYY_2(alp,i,j,k)\n DDA_DYZDA = ADM_DYZ_2(alp,i,j,k)\n DDA_DZZDA = ADM_DZZ_2(alp,i,j,k)\n else\n DDA_DXXDA = ADM_DXX_4(alp,i,j,k)\n DDA_DXYDA = ADM_DXY_4(alp,i,j,k)\n DDA_DXZDA = ADM_DXZ_4(alp,i,j,k)\n DDA_DYYDA = ADM_DYY_4(alp,i,j,k)\n DDA_DYZDA = ADM_DYZ_4(alp,i,j,k)\n DDA_DZZDA = ADM_DZZ_4(alp,i,j,k)\n end if\n\n#endif\n\n#ifdef CCODE\n\n DDA_OODX2 = 1/(DDA_DX*DDA_DX);\n DDA_OODY2 = 1/(DDA_DY*DDA_DY);\n DDA_OODZ2 = 1/(DDA_DZ*DDA_DZ);\n DDA_OO4DXDY = 1/(4*DDA_DX*DDA_DY);\n DDA_OO4DXDZ = 1/(4*DDA_DX*DDA_DZ);\n DDA_OO4DYDZ = 1/(4*DDA_DY*DDA_DZ);\n\n DDA_DXXDA = DDA_OODX2*(DDA_A_IP - 2*DDA_A + DDA_A_IM);\n DDA_DYYDA = DDA_OODY2*(DDA_A_JP - 2*DDA_A + DDA_A_JM);\n DDA_DZZDA = DDA_OODZ2*(DDA_A_KP - 2*DDA_A + DDA_A_KM);\n\n DDA_DXYDA = DDA_OO4DXDY*(DDA_A_IPJP-DDA_A_IPJM-DDA_A_IMJP+DDA_A_IMJM);\n DDA_DXZDA = DDA_OO4DXDZ*(DDA_A_IPKP-DDA_A_IPKM-DDA_A_IMKP+DDA_A_IMKM);\n DDA_DYZDA = DDA_OO4DYDZ*(DDA_A_JPKP-DDA_A_JPKM-DDA_A_JMKP+DDA_A_JMKM);\n\n#endif\n\n#endif\n\n", + "macro/ADM_Derivative.h": "/*@@\n @header ADM_Derivative.h\n @date June 2002\n @author Denis Pollney\n @desc\n Derivative operators.\n @enddesc\n@@*/\n\n#ifndef ADM_DERIVATIVE_H\n#define ADM_DERIVATIVE_H\n\n#include \"ADM_Spacing.h\"\n\n/*\n * 2nd order operators.\n */ \n\n#define ADM_DX_2(var,i,j,k) I2DX*(var(i+1,j,k) - var(i-1,j,k))\n#define ADM_DY_2(var,i,j,k) I2DY*(var(i,j+1,k) - var(i,j-1,k))\n#define ADM_DZ_2(var,i,j,k) I2DZ*(var(i,j,k+1) - var(i,j,k-1))\n\n#define ADM_DXX_2(var,i,j,k) IDXX*(var(i+1,j,k) - 2.d0*var(i,j,k) \\\n + var(i-1,j,k))\n#define ADM_DYY_2(var,i,j,k) IDYY*(var(i,j+1,k) - 2.d0*var(i,j,k) \\\n + var(i,j-1,k))\n#define ADM_DZZ_2(var,i,j,k) IDZZ*(var(i,j,k+1) - 2.d0*var(i,j,k) \\\n + var(i,j,k-1))\n\n#define ADM_DXY_2(var,i,j,k) IDXY*(var(i+1,j+1,k) - var(i+1,j-1,k) \\\n - var(i-1,j+1,k) + var(i-1,j-1,k))\n#define ADM_DXZ_2(var,i,j,k) IDXZ*(var(i+1,j,k+1) - var(i+1,j,k-1) \\\n - var(i-1,j,k+1) + var(i-1,j,k-1))\n#define ADM_DYZ_2(var,i,j,k) IDYZ*(var(i,j+1,k+1) - var(i,j+1,k-1) \\\n - var(i,j-1,k+1) + var(i,j-1,k-1))\n/*\n * 4th order operators.\n */\n\n#define ADM_DX_4(var,i,j,k) I12DX*(-var(i+2,j,k) + var(i-2,j,k) \\\n + 8.d0*(var(i+1,j,k) - var(i-1,j,k)))\n#define ADM_DY_4(var,i,j,k) I12DY*(-var(i,j+2,k) + var(i,j-2,k) \\\n + 8.d0*(var(i,j+1,k) - var(i,j-1,k)))\n#define ADM_DZ_4(var,i,j,k) I12DZ*(-var(i,j,k+2) + var(i,j,k-2) \\\n + 8.d0*(var(i,j,k+1) - var(i,j,k-1)))\n\n#define ADM_DXX_4(var,i,j,k) I12DXX*(-var(i+2,j,k) - var(i-2,j,k) \\\n + 16.d0*(var(i+1,j,k) + var(i-1,j,k)) \\\n - 30.d0*var(i,j,k))\n#define ADM_DYY_4(var,i,j,k) I12DYY*(-var(i,j+2,k) - var(i,j-2,k) \\\n + 16.d0*(var(i,j+1,k) + var(i,j-1,k)) \\\n - 30.d0*var(i,j,k))\n#define ADM_DZZ_4(var,i,j,k) I12DZZ*(-var(i,j,k+2) - var(i,j,k-2) \\\n + 16.d0*(var(i,j,k+1) + var(i,j,k-1)) \\\n - 30.d0*var(i,j,k))\n\n#define ADM_DXY_4(var,i,j,k) I36DXY* \\\n (var(i+2,j+2,k) - var(i+2,j-2,k) - var(i-2,j+2,k) + var(i-2,j-2,k) \\\n + 8.d0*(-var(i+2,j+1,k) + var(i+2,j-1,k) - var(i+1,j+2,k) + var(i+1,j-2,k) \\\n + var(i-2,j+1,k) - var(i-2,j-1,k) - var(i-1,j-2,k) + var(i-1,j+2,k)) \\\n + 64.d0*(var(i+1,j+1,k) - var(i+1,j-1,k) - var(i-1,j+1,k) + var(i-1,j-1,k)))\n#define ADM_DXZ_4(var,i,j,k) I36DXZ* \\\n (var(i+2,j,k+2) - var(i+2,j,k-2) - var(i-2,j,k+2) + var(i-2,j,k-2) \\\n + 8.d0*(-var(i+2,j,k+1) + var(i+2,j,k-1) - var(i+1,j,k+2) + var(i+1,j,k-2) \\\n + var(i-2,j,k+1) - var(i-2,j,k-1) - var(i-1,j,k-2) + var(i-1,j,k+2)) \\\n + 64.d0*(var(i+1,j,k+1) - var(i+1,j,k-1) - var(i-1,j,k+1) + var(i-1,j,k-1)))\n#define ADM_DYZ_4(var,i,j,k) I36DYZ* \\\n (var(i,j+2,k+2) - var(i,j+2,k-2) - var(i,j-2,k+2) + var(i,j-2,k-2) \\\n + 8.d0*(-var(i,j+2,k+1) + var(i,j+2,k-1) - var(i,j+1,k+2) + var(i,j+1,k-2) \\\n + var(i,j-2,k+1) - var(i,j-2,k-1) - var(i,j-1,k-2) + var(i,j-1,k+2)) \\\n + 64.d0*(var(i,j+1,k+1) - var(i,j+1,k-1) - var(i,j-1,k+1) + var(i,j-1,k-1)))\n\n\n#define ADM_ADV_DX_P1(var,i,j,k) betax(i,j,k)*IDX*(var(i+1,j,k) - var(i,j,k))\n#define ADM_ADV_DY_P1(var,i,j,k) betay(i,j,k)*IDY*(var(i,j+1,k) - var(i,j,k))\n#define ADM_ADV_DZ_P1(var,i,j,k) betaz(i,j,k)*IDZ*(var(i,j,k+1) - var(i,j,k))\n\n#define ADM_ADV_DX_M1(var,i,j,k) betax(i,j,k)*IDX*(var(i,j,k) - var(i-1,j,k))\n#define ADM_ADV_DY_M1(var,i,j,k) betay(i,j,k)*IDY*(var(i,j,k) - var(i,j-1,k))\n#define ADM_ADV_DZ_M1(var,i,j,k) betaz(i,j,k)*IDZ*(var(i,j,k) - var(i,j,k-1))\n\n#define ADM_ADV_DX_P2(var,i,j,k) betax(i,j,k)*I2DX*(-3.d0*var(i,j,k) \\\n + 4.d0*var(i+1,j,k) - var(i+2,j,k))\n#define ADM_ADV_DY_P2(var,i,j,k) betay(i,j,k)*I2DY*(-3.d0*var(i,j,k) \\\n + 4.d0*var(i,j+1,k) - var(i,j+2,k))\n#define ADM_ADV_DZ_P2(var,i,j,k) betaz(i,j,k)*I2DZ*(-3.d0*var(i,j,k) \\\n + 4.d0*var(i,j,k+1) - var(i,j,k+2))\n\n#define ADM_ADV_DX_M2(var,i,j,k) betax(i,j,k)*I2DX*(3.d0*var(i,j,k) \\\n - 4.d0*var(i-1,j,k) + var(i-2,j,k))\n#define ADM_ADV_DY_M2(var,i,j,k) betay(i,j,k)*I2DY*(3.d0*var(i,j,k) \\\n - 4.d0*var(i,j-1,k) + var(i,j-2,k))\n#define ADM_ADV_DZ_M2(var,i,j,k) betaz(i,j,k)*I2DZ*(3.d0*var(i,j,k) \\\n - 4.d0*var(i,j,k-1) + var(i,j,k-2))\n\n#endif\n", + "macro/DYDG_declare.h": "/*@@\n @header DYDG_declare.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n Declarations for macro @seefile DYDG_guts.h to compute first \n derivatives of the physical metric with respect to y\n @enddesc\n@@*/\n\n#ifndef DYDG_DECLARE\n#define DYDG_DECLARE\n\n#include \"DYDCG_declare.h\"\n\n#ifdef FCODE\n\n/* Input variables */\n#undef DYDG_PSI\n#define DYDG_PSI 1.\n\n#undef DYDG_DYDPSI_O_PSI\n#define DYDG_DYDPSI_O_PSI 0.\n\n#undef DYDG_GXX \n#define DYDG_GXX gxx(i,j,k)\n#undef DYDG_GXY \n#define DYDG_GXY gxy(i,j,k)\n#undef DYDG_GXZ \n#define DYDG_GXZ gxz(i,j,k)\n#undef DYDG_GYY \n#define DYDG_GYY gyy(i,j,k)\n#undef DYDG_GYZ \n#define DYDG_GYZ gyz(i,j,k)\n#undef DYDG_GZZ \n#define DYDG_GZZ gzz(i,j,k)\n\n/* Output variables */ \n#undef DYDG_DYDGXX\n#define DYDG_DYDGXX dydgxx\n#undef DYDG_DYDGXY\n#define DYDG_DYDGXY dydgxy\n#undef DYDG_DYDGXZ\n#define DYDG_DYDGXZ dydgxz\n#undef DYDG_DYDGYY\n#define DYDG_DYDGYY dydgyy\n#undef DYDG_DYDGYZ\n#define DYDG_DYDGYZ dydgyz\n#undef DYDG_DYDGZZ\n#define DYDG_DYDGZZ dydgzz\n\n/* Internal variables */\n#undef DYDG_PSI4\n#define DYDG_PSI4 dydg_psi4\n\n#undef DYDG_FAC\n#define DYDG_FAC dydg_fac\n\n/* Declare internal variables */\n CCTK_REAL DYDG_PSI4;\n CCTK_REAL DYDG_FAC;\n\n/* Declare output variables */\n CCTK_REAL DYDG_DYDGXX;\n CCTK_REAL DYDG_DYDGXY;\n CCTK_REAL DYDG_DYDGXZ;\n CCTK_REAL DYDG_DYDGYY;\n CCTK_REAL DYDG_DYDGYZ;\n CCTK_REAL DYDG_DYDGZZ;\n\n#endif\n\n#ifdef CCODE\n\n/* Output variables */ \n#undef DYDG_DYDGXX\n#define DYDG_DYDGXX delg211\n#undef DYDG_DYDGXY\n#define DYDG_DYDGXY delg212\n#undef DYDG_DYDGXZ\n#define DYDG_DYDGXZ delg213\n#undef DYDG_DYDGYY\n#define DYDG_DYDGYY delg222\n#undef DYDG_DYDGYZ\n#define DYDG_DYDGYZ delg223\n#undef DYDG_DYDGZZ\n#define DYDG_DYDGZZ delg233\n\n/* Input variables */\n\n#undef DYDG_PSI\n#define DYDG_PSI 1.\n\n#undef DYDG_DYDPSI_O_PSI\n#define DYDG_DYDPSI_O_PSI 0.\n\n#undef DYDG_GXX \n#define DYDG_GXX gxx[ijk]\n#undef DYDG_GXY \n#define DYDG_GXY gxy[ijk]\n#undef DYDG_GXZ \n#define DYDG_GXZ gxz[ijk]\n#undef DYDG_GYY \n#define DYDG_GYY gyy[ijk]\n#undef DYDG_GYZ \n#define DYDG_GYZ gyz[ijk]\n#undef DYDG_GZZ \n#define DYDG_GZZ gzz[ijk]\n\n/* Internal variables */\n#undef DYDG_PSI4\n#define DYDG_PSI4 dydg_psi4\n\n#undef DYDG_FAC\n#define DYDG_FAC dydg_fac\n\n/* Declare internal variables */\nCCTK_REAL DYDG_PSI4;\nCCTK_REAL DYDG_FAC;\n\n/* Declare output variables */\nCCTK_REAL DYDG_DYDGXX;\nCCTK_REAL DYDG_DYDGXY;\nCCTK_REAL DYDG_DYDGXZ;\nCCTK_REAL DYDG_DYDGYY;\nCCTK_REAL DYDG_DYDGYZ;\nCCTK_REAL DYDG_DYDGZZ;\n\n#endif\n\n#endif\n", + "macro/DZDB_declare.h": "/*@@\n @header DZDB_declare.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n Declarations for macro @seefile DZDB_guts.h to compute first \n derivatives of the shift with respect to z\n @enddesc\n@@*/\n\n#ifndef DZDB_DECLARE\n#define DZDB_DECLARE\n\n#ifdef FCODE\n\n/* Input variables */\n#undef DZDB_BX\n#define DZDB_BX betax(i,j,k)\n#undef DZDB_BY\n#define DZDB_BY betay(i,j,k)\n#undef DZDB_BZ\n#define DZDB_BZ betaz(i,j,k)\n#undef DZDB_BX_KP \n#define DZDB_BX_KP betax(i,j,k+1)\n#undef DZDB_BX_KPP \n#define DZDB_BX_KPP betax(i,j,k+2)\n#undef DZDB_BX_KM\n#define DZDB_BX_KM betax(i,j,k-1)\n#undef DZDB_BX_KMM\n#define DZDB_BX_KMM betax(i,j,k-2)\n#undef DZDB_BY_KP \n#define DZDB_BY_KP betay(i,j,k+1)\n#undef DZDB_BY_KPP \n#define DZDB_BY_KPP betay(i,j,k+2)\n#undef DZDB_BY_KM \n#define DZDB_BY_KM betay(i,j,k-1)\n#undef DZDB_BY_KMM \n#define DZDB_BY_KMM betay(i,j,k-2)\n#undef DZDB_BZ_KP \n#define DZDB_BZ_KP betaz(i,j,k+1)\n#undef DZDB_BZ_KPP \n#define DZDB_BZ_KPP betaz(i,j,k+2)\n#undef DZDB_BZ_KM\n#define DZDB_BZ_KM betaz(i,j,k-1)\n#undef DZDB_BZ_KMM\n#define DZDB_BZ_KMM betaz(i,j,k-2)\n\n/* Output variables */ \n#undef DZDB_DZDBX\n#define DZDB_DZDBX dzdb_dzdbx\n#undef DZDB_DZDBY\n#define DZDB_DZDBY dzdb_dzdby\n#undef DZDB_DZDBZ\n#define DZDB_DZDBZ dzdb_dzdbz\n\n/* Internal variables */\n#undef DZDB_DZ\n#define DZDB_DZ dz\n#undef DZDB_OO2DZ \n#define DZDB_OO2DZ dzdb_oo2dz\n\n/* Declare internal variables */\n CCTK_REAL DZDB_OO2DZ;\n\n/* Declare output variables */\n CCTK_REAL DZDB_DZDBX\n CCTK_REAL DZDB_DZDBY\n CCTK_REAL DZDB_DZDBZ\n\n#endif\n\n#ifdef CCODE\n\n/* Input variables */\n#undef DZDB_BX_KP \n#define DZDB_BX_KP betax[ dj+ijk]\n#undef DZDB_BX_KM\n#define DZDB_BX_KM betax[-dj+ijk]\n#undef DZDB_BY_KP \n#define DZDB_BY_KP betay[ dj+ijk]\n#undef DZDB_BY_KM \n#define DZDB_BY_KM betay[-dj+ijk]\n#undef DZDB_BZ_KP \n#define DZDB_BZ_KP betaz[ dj+ijk]\n#undef DZDB_BZ_KM\n#define DZDB_BZ_KM betaz[-dj+ijk]\n\n/* Output variables */ \n#undef DZDB_DZDBX\n#define DZDB_DZDBX delbeta31\n#undef DZDB_DZDBY\n#define DZDB_DZDBY delbeta32\n#undef DZDB_DZDBZ\n#define DZDB_DZDBZ delbeta33\n\n/* Internal variables */\n#undef DZDB_OO2DZ \n#define DZDB_OO2DZ dzdb_oo2dz\n\n/* Declare internal variables */\nCCTK_REAL DZDB_OO2DZ;\n\n/* Declare output variables */\nCCTK_REAL DZDB_DZDBX;\nCCTK_REAL DZDB_DZDBY;\nCCTK_REAL DZDB_DZDBZ;\n\n#endif\n\n#endif\n", + "macro/DYZDG_undefine.h": "/*@@\n @header DYZDG_undefine.h\n @date Jul 98\n @author Gabrielle Allen\n @desc\n @enddesc\n@@*/\n\n#undef DYZDG_GUTS\n\n#include \"DYDG_undefine.h\"\n#include \"DZDG_undefine.h\"\n\n\n", + "macro/DZDG_guts.h": "/*@@\n @header DZDG_guts.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n Macro to calculate the first derivatives of the \n physical metric with respect to z\n\n The macro is defined in terms of standard variables in\n @seefile DZDG_declare.h\n @enddesc\n@@*/\n\n#ifndef DZDG_GUTS\n#define DZDG_GUTS\n\n#include \"DZDCG_guts.h\"\n\n#ifdef FCODE \n\n DZDG_PSI4 = 1\n DZDG_FAC = 0\n\n DZDG_DZDGXX = DZDCG_DZDCGXX*DZDG_PSI4 + DZDG_FAC*DZDG_GXX\n DZDG_DZDGXY = DZDCG_DZDCGXY*DZDG_PSI4 + DZDG_FAC*DZDG_GXY\n DZDG_DZDGXZ = DZDCG_DZDCGXZ*DZDG_PSI4 + DZDG_FAC*DZDG_GXZ\n DZDG_DZDGYY = DZDCG_DZDCGYY*DZDG_PSI4 + DZDG_FAC*DZDG_GYY\n DZDG_DZDGYZ = DZDCG_DZDCGYZ*DZDG_PSI4 + DZDG_FAC*DZDG_GYZ\n DZDG_DZDGZZ = DZDCG_DZDCGZZ*DZDG_PSI4 + DZDG_FAC*DZDG_GZZ\n\n#endif\n\n#ifdef CCODE\n\n DZDG_PSI4 = 1;\n\n DZDG_FAC = 0;\n\n DZDG_DZDGXX = DZDCG_DZDCGXX*DZDG_PSI4 + DZDG_FAC*DZDG_GXX;\n DZDG_DZDGXY = DZDCG_DZDCGXY*DZDG_PSI4 + DZDG_FAC*DZDG_GXY;\n DZDG_DZDGXZ = DZDCG_DZDCGXZ*DZDG_PSI4 + DZDG_FAC*DZDG_GXZ;\n DZDG_DZDGYY = DZDCG_DZDCGYY*DZDG_PSI4 + DZDG_FAC*DZDG_GYY;\n DZDG_DZDGYZ = DZDCG_DZDCGYZ*DZDG_PSI4 + DZDG_FAC*DZDG_GYZ;\n DZDG_DZDGZZ = DZDCG_DZDCGZZ*DZDG_PSI4 + DZDG_FAC*DZDG_GZZ;\n\n#endif\n\n#endif\n", + "macro/DXZDG_undefine.h": "/*@@\n @header DXZDG_undefine.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n @enddesc\n@@*/\n\n#undef DXZDG_GUTS\n\n#include \"DXDG_undefine.h\"\n#include \"DZDG_undefine.h\"\n", + "macro/DYDB_undefine.h": "/*@@\n @header DYDB_undefine.h\n @date Jul 98\n @author Gabrielle Allen\n @desc\n @enddesc\n@@*/\n\n#undef DYDB_GUTS\n\n", + "macro/MOMYADM_guts.h": "/*@@\n @header MOMYADM_guts.h\n @date Aug 98\n @author Gabrielle Allen\n @desc\n Macro to calculate the spacetime part of the \n y-Momentum Constraint. That is:\n\n Del_j K_y^j - Del_y trK \n\n @enddesc\n@@*/\n\n#ifndef MOMYADM_GUTS\n#define MOMYADM_GUTS\n\n#include \"UPPERMET_guts.h\"\n#include \"CDK_guts.h\"\n\n#ifdef FCODE \n\n MOMYADM_MOMYADM = (CDXCDK_CDXCDKXY - CDYCDK_CDYCDKXX)*UPPERMET_UXX \\\n + (CDXCDK_CDXCDKYY - CDYCDK_CDYCDKXY)*UPPERMET_UXY + \\\n (CDXCDK_CDXCDKYZ - 2*CDYCDK_CDYCDKXZ + CDZCDK_CDZCDKXY)*UPPERMET_UXZ + \\\n (-CDYCDK_CDYCDKYZ + CDZCDK_CDZCDKYY)*UPPERMET_UYZ + \\\n (-CDYCDK_CDYCDKZZ + CDZCDK_CDZCDKYZ)*UPPERMET_UZZ\n\n#endif\n\n#ifdef CCODE\n\n MOMYADM_MOMYADM = (CDXCDK_CDXCDKXY - CDYCDK_CDYCDKXX)*UPPERMET_UXX \n + (CDXCDK_CDXCDKYY - CDYCDK_CDYCDKXY)*UPPERMET_UXY + \n (CDXCDK_CDXCDKYZ - 2*CDYCDK_CDYCDKXZ + CDZCDK_CDZCDKXY)*UPPERMET_UXZ + \n (-CDYCDK_CDYCDKYZ + CDZCDK_CDZCDKYY)*UPPERMET_UYZ + \n (-CDYCDK_CDYCDKZZ + CDZCDK_CDZCDKYZ)*UPPERMET_UZZ;\n\n#endif\n\n#endif\n\n", + "macro/DZDG_undefine.h": "/*@@\n @header DZDG_undefine.h\n @date Jul 98\n @author Gabrielle Allen\n @desc\n @enddesc\n@@*/\n\n#undef DZDG_GUTS\n\n#include \"DZDCG_undefine.h\"\n\n", + "macro/DYZDG_guts.h": "/*@@\n @header DYZDG_guts.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n Macro to calculate the (first and) second derivatives of the \n physical metric with respect to y,z\n\n The macro is defined in terms of standard variables in\n @seefile DYZDG_declare.h\n\n The macro uses @seefile DYDG_guts.h , @seefile DZDG_guts.h and \n @seefile DYDG_declare.h , @seefile DZDG_declare.h\n @enddesc\n@@*/\n\n#ifndef DYZDG_GUTS\n#define DYZDG_GUTS\n\n#include \"DYDG_guts.h\"\n#include \"DZDG_guts.h\"\n\n#ifdef FCODE \n\n#include \"ADM_Derivative.h\"\n\n /* Factor involving 2nd derivative of conformal factor, nowadays zero */ \n DYZDG_FAC = 0\n \n /* Now calculate the second deriatives */\n if (local_spatial_order.eq.2) then\n DYZDG_DYZDGXX = DZDCG_DZDCGXX*DYDG_FAC + DYDCG_DYDCGXX*DZDG_FAC \\\n + DYZDG_FAC*DYDG_GXX + DYDG_PSI4*ADM_DYZ_2(gxx,i,j,k)\n\n DYZDG_DYZDGXY = DZDCG_DZDCGXY*DYDG_FAC + DYDCG_DYDCGXY*DZDG_FAC \\\n + DYZDG_FAC*DYDG_GXY + DYDG_PSI4*ADM_DYZ_2(gxy,i,j,k)\n\n DYZDG_DYZDGXZ = DZDCG_DZDCGXZ*DYDG_FAC + DYDCG_DYDCGXZ*DZDG_FAC \\\n + DYZDG_FAC*DYDG_GXZ + DYDG_PSI4*ADM_DYZ_2(gxz,i,j,k)\n\n DYZDG_DYZDGYY = DZDCG_DZDCGYY*DYDG_FAC + DYDCG_DYDCGYY*DZDG_FAC \\\n + DYZDG_FAC*DYDG_GYY + DYDG_PSI4*ADM_DYZ_2(gyy,i,j,k)\n\n DYZDG_DYZDGYZ = DZDCG_DZDCGYZ*DYDG_FAC + DYDCG_DYDCGYZ*DZDG_FAC \\\n + DYZDG_FAC*DYDG_GYZ + DYDG_PSI4*ADM_DYZ_2(gyz,i,j,k)\n\n DYZDG_DYZDGZZ = DZDCG_DZDCGZZ*DYDG_FAC + DYDCG_DYDCGZZ*DZDG_FAC \\\n + DYZDG_FAC*DYDG_GZZ + DYDG_PSI4*ADM_DYZ_2(gzz,i,j,k)\n else \n DYZDG_DYZDGXX = DZDCG_DZDCGXX*DYDG_FAC + DYDCG_DYDCGXX*DZDG_FAC \\\n + DYZDG_FAC*DYDG_GXX + DYDG_PSI4*ADM_DYZ_4(gxx,i,j,k)\n\n DYZDG_DYZDGXY = DZDCG_DZDCGXY*DYDG_FAC + DYDCG_DYDCGXY*DZDG_FAC \\\n + DYZDG_FAC*DYDG_GXY + DYDG_PSI4*ADM_DYZ_4(gxy,i,j,k)\n\n DYZDG_DYZDGXZ = DZDCG_DZDCGXZ*DYDG_FAC + DYDCG_DYDCGXZ*DZDG_FAC \\\n + DYZDG_FAC*DYDG_GXZ + DYDG_PSI4*ADM_DYZ_4(gxz,i,j,k)\n\n DYZDG_DYZDGYY = DZDCG_DZDCGYY*DYDG_FAC + DYDCG_DYDCGYY*DZDG_FAC \\\n + DYZDG_FAC*DYDG_GYY + DYDG_PSI4*ADM_DYZ_4(gyy,i,j,k)\n\n DYZDG_DYZDGYZ = DZDCG_DZDCGYZ*DYDG_FAC + DYDCG_DYDCGYZ*DZDG_FAC \\\n + DYZDG_FAC*DYDG_GYZ + DYDG_PSI4*ADM_DYZ_4(gyz,i,j,k)\n\n DYZDG_DYZDGZZ = DZDCG_DZDCGZZ*DYDG_FAC + DYDCG_DYDCGZZ*DZDG_FAC \\\n + DYZDG_FAC*DYDG_GZZ + DYDG_PSI4*ADM_DYZ_4(gzz,i,j,k)\n end if\n#endif\n\n#ifdef CCODE\n\n /* Factor involving 2nd derivative of conformal factor, nowadays zero */ \n DYZDG_FAC = 0;\n\n /* Now calculate the second deriatives */\n DYZDG_DYZDGXX = DZDCG_DZDCGXX*DYDG_FAC+DYDCG_DYDCGXX*DZDG_FAC+DYZDG_FAC*DYDG_GXX\n +DYDG_PSI4*DYZDG_OO4DYDZ*(DYZDG_GXX_JPKP-DYZDG_GXX_JPKM-DYZDG_GXX_JMKP\n +DYZDG_GXX_JMKM);\n\n DYZDG_DYZDGXY = DZDCG_DZDCGXY*DYDG_FAC+DYDCG_DYDCGXY*DZDG_FAC+DYZDG_FAC*DYDG_GXY\n +DYDG_PSI4*DYZDG_OO4DYDZ*(DYZDG_GXY_JPKP-DYZDG_GXY_JPKM-DYZDG_GXY_JMKP\n +DYZDG_GXY_JMKM);\n\n DYZDG_DYZDGXZ = DZDCG_DZDCGXZ*DYDG_FAC+DYDCG_DYDCGXZ*DZDG_FAC+DYZDG_FAC*DYDG_GXZ\n +DYDG_PSI4*DYZDG_OO4DYDZ*(DYZDG_GXZ_JPKP-DYZDG_GXZ_JPKM-DYZDG_GXZ_JMKP\n +DYZDG_GXZ_JMKM);\n\n DYZDG_DYZDGYY = DZDCG_DZDCGYY*DYDG_FAC+DYDCG_DYDCGYY*DZDG_FAC+DYZDG_FAC*DYDG_GYY\n +DYDG_PSI4*DYZDG_OO4DYDZ*(DYZDG_GYY_JPKP-DYZDG_GYY_JPKM-DYZDG_GYY_JMKP\n +DYZDG_GYY_JMKM);\n\n DYZDG_DYZDGYZ = DZDCG_DZDCGYZ*DYDG_FAC+DYDCG_DYDCGYZ*DZDG_FAC+DYZDG_FAC*DYDG_GYZ\n +DYDG_PSI4*DYZDG_OO4DYDZ*(DYZDG_GYZ_JPKP-DYZDG_GYZ_JPKM-DYZDG_GYZ_JMKP\n +DYZDG_GYZ_JMKM);\n\n DYZDG_DYZDGZZ = DZDCG_DZDCGZZ*DYDG_FAC+DYDCG_DYDCGZZ*DZDG_FAC+DYZDG_FAC*DYDG_GZZ\n +DYDG_PSI4*DYZDG_OO4DYDZ*(DYZDG_GZZ_JPKP-DYZDG_GZZ_JPKM-DYZDG_GZZ_JMKP\n +DYZDG_GZZ_JMKM);\n\n#endif\n\n#endif\n\n", + "macro/RICCI_guts.h": "/*@@\n @header RICCI_guts.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n Macro to calculate the components of the Ricci tensor. \n\n Requires: Second derivatives of physical metric\n Christoffel symbols of first kind\n Christoffel symbols of second kind\n Upper physical metric\n\n Provides: Components of the physical Ricci tensor\n\n @enddesc\n@@*/\n\n#ifndef RICCI_GUTS\n#define RICCI_GUTS\n\n#include \"UPPERMET_guts.h\"\n#include \"DDG_guts.h\"\n#include \"CHR1_guts.h\"\n#include \"CHR2_guts.h\"\n\n#ifdef FCODE\n\n RICCI_RXX = (DXYDG_DXYDGXY+(-DXXDG_DXXDGYY-DYYDG_DYYDGXX)/2 - \\\n CHR1_XYY*CHR2_XXX +CHR1_XXY*CHR2_XXY-CHR1_YYY*CHR2_YXX + \\\n CHR1_YXY*CHR2_YXY - CHR1_ZYY*CHR2_ZXX + \\\n CHR1_ZXY*CHR2_ZXY)*UPPERMET_UYY + (-DXXDG_DXXDGYZ + DXYDG_DXYDGXZ + \\\n DXZDG_DXZDGXY - DYZDG_DYZDGXX - 2*(CHR1_YYZ*CHR2_YXX + \\\n CHR1_ZYZ*CHR2_ZXX) + 2*(-(CHR1_XYZ*CHR2_XXX) + CHR1_XXZ*CHR2_XXY + \\\n CHR1_YXZ*CHR2_YXY + CHR1_ZXZ*CHR2_ZXY))*UPPERMET_UYZ + (DXZDG_DXZDGXZ \\\n + (-DXXDG_DXXDGZZ - DZZDG_DZZDGXX)/2 - CHR1_XZZ*CHR2_XXX + \\\n CHR1_XXZ*CHR2_XXZ - CHR1_YZZ*CHR2_YXX + CHR1_YXZ*CHR2_YXZ - \\\n CHR1_ZZZ*CHR2_ZXX + CHR1_ZXZ*CHR2_ZXZ)*UPPERMET_UZZ\n\n RICCI_RXY = (-DXYDG_DXYDGXY + (DXXDG_DXXDGYY + DYYDG_DYYDGXX)/2 + \\\n CHR1_XYY*CHR2_XXX - CHR1_XXY*CHR2_XXY + CHR1_YYY*CHR2_YXX - \\\n CHR1_YXY*CHR2_YXY + CHR1_ZYY*CHR2_ZXX - \\\n CHR1_ZXY*CHR2_ZXY)*UPPERMET_UXY + ((DXXDG_DXXDGYZ - DXYDG_DXYDGXZ - \\\n DXZDG_DXZDGXY + DYZDG_DYZDGXX)/2 + CHR1_XYZ*CHR2_XXX - \\\n CHR1_XXZ*CHR2_XXY + CHR1_YYZ*CHR2_YXX - CHR1_YXZ*CHR2_YXY + \\\n CHR1_ZYZ*CHR2_ZXX - CHR1_ZXZ*CHR2_ZXY)*UPPERMET_UXZ + \\\n ((-DXYDG_DXYDGYZ + DXZDG_DXZDGYY + DYYDG_DYYDGXZ - DYZDG_DYZDGXY)/2 - \\\n CHR1_XYZ*CHR2_XXY + CHR1_XYY*CHR2_XXZ - CHR1_YYZ*CHR2_YXY + \\\n CHR1_YYY*CHR2_YXZ - CHR1_ZYZ*CHR2_ZXY + \\\n CHR1_ZYY*CHR2_ZXZ)*UPPERMET_UYZ + ((-DXYDG_DXYDGZZ + DXZDG_DXZDGYZ + \\\n DYZDG_DYZDGXZ - DZZDG_DZZDGXY)/2 - CHR1_XZZ*CHR2_XXY + \\\n CHR1_XYZ*CHR2_XXZ - CHR1_YZZ*CHR2_YXY + CHR1_YYZ*CHR2_YXZ - \\\n CHR1_ZZZ*CHR2_ZXY + CHR1_ZYZ*CHR2_ZXZ)*UPPERMET_UZZ ;\n\n RICCI_RXZ = ((DXXDG_DXXDGYZ - DXYDG_DXYDGXZ - DXZDG_DXZDGXY + \\\n DYZDG_DYZDGXX)/2 + CHR1_XYZ*CHR2_XXX - CHR1_XXZ*CHR2_XXY + \\\n CHR1_YYZ*CHR2_YXX - CHR1_YXZ*CHR2_YXY + CHR1_ZYZ*CHR2_ZXX - \\\n CHR1_ZXZ*CHR2_ZXY)*UPPERMET_UXY + (-DXZDG_DXZDGXZ + (DXXDG_DXXDGZZ + \\\n DZZDG_DZZDGXX)/2 + CHR1_XZZ*CHR2_XXX - CHR1_XXZ*CHR2_XXZ + \\\n CHR1_YZZ*CHR2_YXX - CHR1_YXZ*CHR2_YXZ + CHR1_ZZZ*CHR2_ZXX - \\\n CHR1_ZXZ*CHR2_ZXZ)*UPPERMET_UXZ + ((DXYDG_DXYDGYZ - DXZDG_DXZDGYY - \\\n DYYDG_DYYDGXZ + DYZDG_DYZDGXY)/2 + CHR1_XYZ*CHR2_XXY - \\\n CHR1_XYY*CHR2_XXZ + CHR1_YYZ*CHR2_YXY - CHR1_YYY*CHR2_YXZ + \\\n CHR1_ZYZ*CHR2_ZXY - CHR1_ZYY*CHR2_ZXZ)*UPPERMET_UYY + ((DXYDG_DXYDGZZ \\\n - DXZDG_DXZDGYZ - DYZDG_DYZDGXZ + DZZDG_DZZDGXY)/2 + CHR1_XZZ*CHR2_XXY \\\n - CHR1_XYZ*CHR2_XXZ + CHR1_YZZ*CHR2_YXY - CHR1_YYZ*CHR2_YXZ + \\\n CHR1_ZZZ*CHR2_ZXY - CHR1_ZYZ*CHR2_ZXZ)*UPPERMET_UYZ ;\n\n RICCI_RYY = (DXYDG_DXYDGXY + (-DXXDG_DXXDGYY - DYYDG_DYYDGXX)/2 - \\\n CHR1_XYY*CHR2_XXX + CHR1_XXY*CHR2_XXY - CHR1_YYY*CHR2_YXX + \\\n CHR1_YXY*CHR2_YXY - CHR1_ZYY*CHR2_ZXX + \\\n CHR1_ZXY*CHR2_ZXY)*UPPERMET_UXX + (DXYDG_DXYDGYZ - DXZDG_DXZDGYY - \\\n DYYDG_DYYDGXZ + DYZDG_DYZDGXY + 2*(CHR1_XYZ*CHR2_XXY - \\\n CHR1_XYY*CHR2_XXZ + CHR1_YYZ*CHR2_YXY + CHR1_ZYZ*CHR2_ZXY) - \\\n 2*(CHR1_YYY*CHR2_YXZ + CHR1_ZYY*CHR2_ZXZ)) *UPPERMET_UXZ + \\\n (DYZDG_DYZDGYZ + (-DYYDG_DYYDGZZ - DZZDG_DZZDGYY)/2 - \\\n CHR1_XZZ*CHR2_XYY + CHR1_XYZ*CHR2_XYZ - CHR1_YZZ*CHR2_YYY + \\\n CHR1_YYZ*CHR2_YYZ - CHR1_ZZZ*CHR2_ZYY + \\\n CHR1_ZYZ*CHR2_ZYZ)*UPPERMET_UZZ ;\n\n RICCI_RYZ = ((-DXXDG_DXXDGYZ + DXYDG_DXYDGXZ + DXZDG_DXZDGXY - \\\n DYZDG_DYZDGXX)/2 - CHR1_XYZ*CHR2_XXX + CHR1_XXZ*CHR2_XXY - \\\n CHR1_YYZ*CHR2_YXX + CHR1_YXZ*CHR2_YXY - CHR1_ZYZ*CHR2_ZXX + \\\n CHR1_ZXZ*CHR2_ZXY)*UPPERMET_UXX + ((-DXYDG_DXYDGYZ + DXZDG_DXZDGYY + \\\n DYYDG_DYYDGXZ - DYZDG_DYZDGXY)/2 - CHR1_XYZ*CHR2_XXY + \\\n CHR1_XYY*CHR2_XXZ - CHR1_YYZ*CHR2_YXY + CHR1_YYY*CHR2_YXZ - \\\n CHR1_ZYZ*CHR2_ZXY + CHR1_ZYY*CHR2_ZXZ)*UPPERMET_UXY + ((DXYDG_DXYDGZZ \\\n - DXZDG_DXZDGYZ - DYZDG_DYZDGXZ + DZZDG_DZZDGXY)/2 + CHR1_XZZ*CHR2_XXY \\\n - CHR1_XYZ*CHR2_XXZ + CHR1_YZZ*CHR2_YXY - CHR1_YYZ*CHR2_YXZ + \\\n CHR1_ZZZ*CHR2_ZXY - CHR1_ZYZ*CHR2_ZXZ)*UPPERMET_UXZ + (-DYZDG_DYZDGYZ \\\n + (DYYDG_DYYDGZZ + DZZDG_DZZDGYY)/2 + CHR1_XZZ*CHR2_XYY - \\\n CHR1_XYZ*CHR2_XYZ + CHR1_YZZ*CHR2_YYY - CHR1_YYZ*CHR2_YYZ + \\\n CHR1_ZZZ*CHR2_ZYY - CHR1_ZYZ*CHR2_ZYZ)*UPPERMET_UYZ ;\n\n RICCI_RZZ = (DXZDG_DXZDGXZ + (-DXXDG_DXXDGZZ - DZZDG_DZZDGXX)/2 - \\\n CHR1_XZZ*CHR2_XXX + CHR1_XXZ*CHR2_XXZ - CHR1_YZZ*CHR2_YXX + \\\n CHR1_YXZ*CHR2_YXZ - CHR1_ZZZ*CHR2_ZXX + \\\n CHR1_ZXZ*CHR2_ZXZ)*UPPERMET_UXX + (-DXYDG_DXYDGZZ + DXZDG_DXZDGYZ + \\\n DYZDG_DYZDGXZ - DZZDG_DZZDGXY - 2*(CHR1_YZZ*CHR2_YXY + \\\n CHR1_ZZZ*CHR2_ZXY) + 2*(-(CHR1_XZZ*CHR2_XXY) + CHR1_XYZ*CHR2_XXZ + \\\n CHR1_YYZ*CHR2_YXZ + CHR1_ZYZ*CHR2_ZXZ))*UPPERMET_UXY + (DYZDG_DYZDGYZ \\\n + (-DYYDG_DYYDGZZ - DZZDG_DZZDGYY)/2 - CHR1_XZZ*CHR2_XYY + \\\n CHR1_XYZ*CHR2_XYZ - CHR1_YZZ*CHR2_YYY + CHR1_YYZ*CHR2_YYZ - \\\n CHR1_ZZZ*CHR2_ZYY + CHR1_ZYZ*CHR2_ZYZ)*UPPERMET_UYY ;\n\n#endif\n\n#ifdef CCODE \n\n RICCI_RXX = (DXYDG_DXYDGXY+(-DXXDG_DXXDGYY-DYYDG_DYYDGXX)/2 -\n CHR1_XYY*CHR2_XXX +CHR1_XXY*CHR2_XXY-CHR1_YYY*CHR2_YXX +\n CHR1_YXY*CHR2_YXY - CHR1_ZYY*CHR2_ZXX +\n CHR1_ZXY*CHR2_ZXY)*UPPERMET_UYY + (-DXXDG_DXXDGYZ + DXYDG_DXYDGXZ +\n DXZDG_DXZDGXY - DYZDG_DYZDGXX - 2*(CHR1_YYZ*CHR2_YXX +\n CHR1_ZYZ*CHR2_ZXX) + 2*(-(CHR1_XYZ*CHR2_XXX) + CHR1_XXZ*CHR2_XXY +\n CHR1_YXZ*CHR2_YXY + CHR1_ZXZ*CHR2_ZXY))*UPPERMET_UYZ + (DXZDG_DXZDGXZ\n + (-DXXDG_DXXDGZZ - DZZDG_DZZDGXX)/2 - CHR1_XZZ*CHR2_XXX +\n CHR1_XXZ*CHR2_XXZ - CHR1_YZZ*CHR2_YXX + CHR1_YXZ*CHR2_YXZ -\n CHR1_ZZZ*CHR2_ZXX + CHR1_ZXZ*CHR2_ZXZ)*UPPERMET_UZZ;\n\n RICCI_RXY = (-DXYDG_DXYDGXY + (DXXDG_DXXDGYY + DYYDG_DYYDGXX)/2 +\n CHR1_XYY*CHR2_XXX - CHR1_XXY*CHR2_XXY + CHR1_YYY*CHR2_YXX -\n CHR1_YXY*CHR2_YXY + CHR1_ZYY*CHR2_ZXX -\n CHR1_ZXY*CHR2_ZXY)*UPPERMET_UXY + ((DXXDG_DXXDGYZ - DXYDG_DXYDGXZ -\n DXZDG_DXZDGXY + DYZDG_DYZDGXX)/2 + CHR1_XYZ*CHR2_XXX -\n CHR1_XXZ*CHR2_XXY + CHR1_YYZ*CHR2_YXX - CHR1_YXZ*CHR2_YXY +\n CHR1_ZYZ*CHR2_ZXX - CHR1_ZXZ*CHR2_ZXY)*UPPERMET_UXZ +\n ((-DXYDG_DXYDGYZ + DXZDG_DXZDGYY + DYYDG_DYYDGXZ - DYZDG_DYZDGXY)/2 -\n CHR1_XYZ*CHR2_XXY + CHR1_XYY*CHR2_XXZ - CHR1_YYZ*CHR2_YXY +\n CHR1_YYY*CHR2_YXZ - CHR1_ZYZ*CHR2_ZXY +\n CHR1_ZYY*CHR2_ZXZ)*UPPERMET_UYZ + ((-DXYDG_DXYDGZZ + DXZDG_DXZDGYZ +\n DYZDG_DYZDGXZ - DZZDG_DZZDGXY)/2 - CHR1_XZZ*CHR2_XXY +\n CHR1_XYZ*CHR2_XXZ - CHR1_YZZ*CHR2_YXY + CHR1_YYZ*CHR2_YXZ -\n CHR1_ZZZ*CHR2_ZXY + CHR1_ZYZ*CHR2_ZXZ)*UPPERMET_UZZ ;\n\n RICCI_RXZ = ((DXXDG_DXXDGYZ - DXYDG_DXYDGXZ - DXZDG_DXZDGXY +\n DYZDG_DYZDGXX)/2 + CHR1_XYZ*CHR2_XXX - CHR1_XXZ*CHR2_XXY +\n CHR1_YYZ*CHR2_YXX - CHR1_YXZ*CHR2_YXY + CHR1_ZYZ*CHR2_ZXX -\n CHR1_ZXZ*CHR2_ZXY)*UPPERMET_UXY + (-DXZDG_DXZDGXZ + (DXXDG_DXXDGZZ +\n DZZDG_DZZDGXX)/2 + CHR1_XZZ*CHR2_XXX - CHR1_XXZ*CHR2_XXZ +\n CHR1_YZZ*CHR2_YXX - CHR1_YXZ*CHR2_YXZ + CHR1_ZZZ*CHR2_ZXX -\n CHR1_ZXZ*CHR2_ZXZ)*UPPERMET_UXZ + ((DXYDG_DXYDGYZ - DXZDG_DXZDGYY -\n DYYDG_DYYDGXZ + DYZDG_DYZDGXY)/2 + CHR1_XYZ*CHR2_XXY -\n CHR1_XYY*CHR2_XXZ + CHR1_YYZ*CHR2_YXY - CHR1_YYY*CHR2_YXZ +\n CHR1_ZYZ*CHR2_ZXY - CHR1_ZYY*CHR2_ZXZ)*UPPERMET_UYY + ((DXYDG_DXYDGZZ\n - DXZDG_DXZDGYZ - DYZDG_DYZDGXZ + DZZDG_DZZDGXY)/2 + CHR1_XZZ*CHR2_XXY\n - CHR1_XYZ*CHR2_XXZ + CHR1_YZZ*CHR2_YXY - CHR1_YYZ*CHR2_YXZ +\n CHR1_ZZZ*CHR2_ZXY - CHR1_ZYZ*CHR2_ZXZ)*UPPERMET_UYZ ;\n\n RICCI_RYY = (DXYDG_DXYDGXY + (-DXXDG_DXXDGYY - DYYDG_DYYDGXX)/2 -\n CHR1_XYY*CHR2_XXX + CHR1_XXY*CHR2_XXY - CHR1_YYY*CHR2_YXX +\n CHR1_YXY*CHR2_YXY - CHR1_ZYY*CHR2_ZXX +\n CHR1_ZXY*CHR2_ZXY)*UPPERMET_UXX + (DXYDG_DXYDGYZ - DXZDG_DXZDGYY -\n DYYDG_DYYDGXZ + DYZDG_DYZDGXY + 2*(CHR1_XYZ*CHR2_XXY -\n CHR1_XYY*CHR2_XXZ + CHR1_YYZ*CHR2_YXY + CHR1_ZYZ*CHR2_ZXY) -\n 2*(CHR1_YYY*CHR2_YXZ + CHR1_ZYY*CHR2_ZXZ)) *UPPERMET_UXZ +\n (DYZDG_DYZDGYZ + (-DYYDG_DYYDGZZ - DZZDG_DZZDGYY)/2 -\n CHR1_XZZ*CHR2_XYY + CHR1_XYZ*CHR2_XYZ - CHR1_YZZ*CHR2_YYY +\n CHR1_YYZ*CHR2_YYZ - CHR1_ZZZ*CHR2_ZYY +\n CHR1_ZYZ*CHR2_ZYZ)*UPPERMET_UZZ ;\n\n RICCI_RYZ = ((-DXXDG_DXXDGYZ + DXYDG_DXYDGXZ + DXZDG_DXZDGXY -\n DYZDG_DYZDGXX)/2 - CHR1_XYZ*CHR2_XXX + CHR1_XXZ*CHR2_XXY -\n CHR1_YYZ*CHR2_YXX + CHR1_YXZ*CHR2_YXY - CHR1_ZYZ*CHR2_ZXX +\n CHR1_ZXZ*CHR2_ZXY)*UPPERMET_UXX + ((-DXYDG_DXYDGYZ + DXZDG_DXZDGYY +\n DYYDG_DYYDGXZ - DYZDG_DYZDGXY)/2 - CHR1_XYZ*CHR2_XXY +\n CHR1_XYY*CHR2_XXZ - CHR1_YYZ*CHR2_YXY + CHR1_YYY*CHR2_YXZ -\n CHR1_ZYZ*CHR2_ZXY + CHR1_ZYY*CHR2_ZXZ)*UPPERMET_UXY + ((DXYDG_DXYDGZZ\n - DXZDG_DXZDGYZ - DYZDG_DYZDGXZ + DZZDG_DZZDGXY)/2 + CHR1_XZZ*CHR2_XXY\n - CHR1_XYZ*CHR2_XXZ + CHR1_YZZ*CHR2_YXY - CHR1_YYZ*CHR2_YXZ +\n CHR1_ZZZ*CHR2_ZXY - CHR1_ZYZ*CHR2_ZXZ)*UPPERMET_UXZ + (-DYZDG_DYZDGYZ\n + (DYYDG_DYYDGZZ + DZZDG_DZZDGYY)/2 + CHR1_XZZ*CHR2_XYY -\n CHR1_XYZ*CHR2_XYZ + CHR1_YZZ*CHR2_YYY - CHR1_YYZ*CHR2_YYZ +\n CHR1_ZZZ*CHR2_ZYY - CHR1_ZYZ*CHR2_ZYZ)*UPPERMET_UYZ ;\n\n RICCI_RZZ = (DXZDG_DXZDGXZ + (-DXXDG_DXXDGZZ - DZZDG_DZZDGXX)/2 -\n CHR1_XZZ*CHR2_XXX + CHR1_XXZ*CHR2_XXZ - CHR1_YZZ*CHR2_YXX +\n CHR1_YXZ*CHR2_YXZ - CHR1_ZZZ*CHR2_ZXX +\n CHR1_ZXZ*CHR2_ZXZ)*UPPERMET_UXX + (-DXYDG_DXYDGZZ + DXZDG_DXZDGYZ +\n DYZDG_DYZDGXZ - DZZDG_DZZDGXY - 2*(CHR1_YZZ*CHR2_YXY +\n CHR1_ZZZ*CHR2_ZXY) + 2*(-(CHR1_XZZ*CHR2_XXY) + CHR1_XYZ*CHR2_XXZ +\n CHR1_YYZ*CHR2_YXZ + CHR1_ZYZ*CHR2_ZXZ))*UPPERMET_UXY + (DYZDG_DYZDGYZ\n + (-DYYDG_DYYDGZZ - DZZDG_DZZDGYY)/2 - CHR1_XZZ*CHR2_XYY +\n CHR1_XYZ*CHR2_XYZ - CHR1_YZZ*CHR2_YYY + CHR1_YYZ*CHR2_YYZ -\n CHR1_ZZZ*CHR2_ZYY + CHR1_ZYZ*CHR2_ZYZ)*UPPERMET_UYY ;\n\n#endif\n\n#endif\n", + "macro/DXDK_guts.h": "/*@@\n @header DXDK_guts.h\n @date Jul 98\n @author Gabrielle Allen\n @desc\n Macro to calculate the first derivatives of the \n extrinsic curvature with respect to x\n @enddesc\n@@*/\n\n#ifndef DXDK_GUTS\n#define DXDK_GUTS\n\n#ifdef FCODE \n\n#include \"ADM_Derivative.h\"\n\n if (local_spatial_order.eq.2) then\n DXDK_DXDKXX = ADM_DX_2(kxx,i,j,k)\n DXDK_DXDKXY = ADM_DX_2(kxy,i,j,k)\n DXDK_DXDKXZ = ADM_DX_2(kxz,i,j,k)\n DXDK_DXDKYY = ADM_DX_2(kyy,i,j,k)\n DXDK_DXDKYZ = ADM_DX_2(kyz,i,j,k)\n DXDK_DXDKZZ = ADM_DX_2(kzz,i,j,k)\n else\n DXDK_DXDKXX = ADM_DX_4(kxx,i,j,k)\n DXDK_DXDKXY = ADM_DX_4(kxy,i,j,k)\n DXDK_DXDKXZ = ADM_DX_4(kxz,i,j,k)\n DXDK_DXDKYY = ADM_DX_4(kyy,i,j,k)\n DXDK_DXDKYZ = ADM_DX_4(kyz,i,j,k)\n DXDK_DXDKZZ = ADM_DX_4(kzz,i,j,k)\n end if\n\n#endif\n\n#ifdef CCODE\n\n DXDK_OO2DX = 1/(2*cctkGH->cctk_delta_space[0]);\n \n DXDK_DXDKXX = DXDK_OO2DX*(DXDK_KXX_IP - DXDK_KXX_IM);\n DXDK_DXDKXY = DXDK_OO2DX*(DXDK_KXY_IP - DXDK_KXY_IM);\n DXDK_DXDKXZ = DXDK_OO2DX*(DXDK_KXZ_IP - DXDK_KXZ_IM);\n DXDK_DXDKYY = DXDK_OO2DX*(DXDK_KYY_IP - DXDK_KYY_IM);\n DXDK_DXDKYZ = DXDK_OO2DX*(DXDK_KYZ_IP - DXDK_KYZ_IM);\n DXDK_DXDKZZ = DXDK_OO2DX*(DXDK_KZZ_IP - DXDK_KZZ_IM);\n\n#endif\n\n#endif\n", + "macro/DXDG_undefine.h": "/*@@\n @header DXDG_undefine.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n @enddesc\n@@*/\n\n#undef DXDG_GUTS\n\n#include \"DXDCG_undefine.h\"\n\n", + "macro/GAMMA_declare.h": "/*@@\n @header GAMMA_declare.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n\n Macro to calculate Gauge Source Functions (Gammas)\n\n That is GAMMA_a = g^bc CHR2_abc\n @enddesc\n@@*/\n\n#ifndef GAMMA_DECLARE\n#define GAMMA_DECLARE\n\n#include \"CHR2_declare.h\"\n#include \"UPPERMET_declare.h\"\n\n#ifdef FCODE\n\n/* Output variables */\n#undef GAMMA_GAMMAX \n#define GAMMA_GAMMAX gamma_gammax\n#undef GAMMA_GAMMAY\n#define GAMMA_GAMMAY gamma_gammay\n#undef GAMMA_GAMMAZ\n#define GAMMA_GAMMAZ gamma_gammaz\n\n/* Declare output variables */\n CCTK_REAL GAMMA_GAMMAX\n CCTK_REAL GAMMA_GAMMAY\n CCTK_REAL GAMMA_GAMMAZ\n\n#endif\n\n\n#ifdef CCODE\n\n/* Output variables */\n#undef GAMMA_GAMMAX \n#define GAMMA_GAMMAX gamma_gammax\n#undef GAMMA_GAMMAY\n#define GAMMA_GAMMAY gamma_gammay\n#undef GAMMA_GAMMAZ\n#define GAMMA_GAMMAZ gamma_gammaz\n\n/* Declare output variables */\nCCTK_REAL GAMMA_GAMMAX;\nCCTK_REAL GAMMA_GAMMAY;\nCCTK_REAL GAMMA_GAMMAZ;\n\n#endif\n\n#endif\n\n\n\n", + "macro/DXXDG_declare.h": "/*@@\n @header DXXDG_declare.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n Declarations for macro to calculate the (first and) second derivatives \n of the physical metric with respect to x\n\n The macro uses @seefile DXDG_guts.h and @seefile DXDG_declare.h\n @enddesc\n@@*/\n\n#ifndef DXXDG_DECLARE\n#define DXXDG_DECLARE\n\n#include \"DXDG_declare.h\"\n\n#ifdef FCODE\n\n/* Output variables */\n#undef DXXDG_DXXDGXX\n#define DXXDG_DXXDGXX dxxdgxx\n#undef DXXDG_DXXDGXY\n#define DXXDG_DXXDGXY dxxdgxy\n#undef DXXDG_DXXDGXZ\n#define DXXDG_DXXDGXZ dxxdgxz\n#undef DXXDG_DXXDGYY\n#define DXXDG_DXXDGYY dxxdgyy\n#undef DXXDG_DXXDGYZ\n#define DXXDG_DXXDGYZ dxxdgyz\n#undef DXXDG_DXXDGZZ\n#define DXXDG_DXXDGZZ dxxdgzz\n\n/* Internal variables */\n#undef DXXDG_FAC\n#define DXXDG_FAC dxxdg_fac\n#undef DXXDG_OODX2\n#define DXXDG_OODX2 dxxdg_oodx2\n#undef DXXDG_DXXDPSI_O_PSI\n#define DXXDG_DXXDPSI_O_PSI 0.\n\n/* Declare internal variables */\n CCTK_REAL DXXDG_FAC\n CCTK_REAL DXXDG_OODX2\n\n/* Declare output variables */\n CCTK_REAL DXXDG_DXXDGXX\n CCTK_REAL DXXDG_DXXDGXY\n CCTK_REAL DXXDG_DXXDGXZ\n CCTK_REAL DXXDG_DXXDGYY\n CCTK_REAL DXXDG_DXXDGYZ\n CCTK_REAL DXXDG_DXXDGZZ\n\n#endif\n\n\n#ifdef CCODE\n\n/* Output variables */\n#undef DXXDG_DXXDGXX\n#define DXXDG_DXXDGXX deldelg1111\n#undef DXXDG_DXXDGXY\n#define DXXDG_DXXDGXY deldelg1112\n#undef DXXDG_DXXDGXZ\n#define DXXDG_DXXDGXZ deldelg1113\n#undef DXXDG_DXXDGYY\n#define DXXDG_DXXDGYY deldelg1122\n#undef DXXDG_DXXDGYZ\n#define DXXDG_DXXDGYZ deldelg1123\n#undef DXXDG_DXXDGZZ\n#define DXXDG_DXXDGZZ deldelg1133\n\n/* Internal variables */\n#undef DXXDG_FAC\n#define DXXDG_FAC dxxdg_fac\n#undef DXXDG_OODX2\n#define DXXDG_OODX2 dxxdg_oodx2\n#undef DXXDG_DXXDPSI_O_PSI\n#define DXXDG_DXXDPSI_O_PSI 0.\n\n/* Declare internal variables */\nCCTK_REAL DXXDG_FAC;\nCCTK_REAL DXXDG_OODX2 = 1/(cctkGH->cctk_delta_space[0]*cctkGH->cctk_delta_space[0]);\n/*CCTK_REAL DXXDG_DXXDPSI_O_PSI;*/\n\n/* Declare output variables */\nCCTK_REAL DXXDG_DXXDGXX;\nCCTK_REAL DXXDG_DXXDGXY;\nCCTK_REAL DXXDG_DXXDGXZ;\nCCTK_REAL DXXDG_DXXDGYY;\nCCTK_REAL DXXDG_DXXDGYZ;\nCCTK_REAL DXXDG_DXXDGZZ;\n\n#endif\n\n#endif\n", + "macro/DCGDT_declare.h": "/*@@\n @header DCGDT_declare.h\n @date Jul 98\n @author Gabrielle Allen\n @desc\n Declarations for macro @seefile DCGDT_guts.h to calculate the source term \n in the evolution equation for the conformal 3-metric. That is\n\n d g~_ij/dt =( - 2 alpha K_ij + L_beta g_ij )/Psi^4\n\n where g~ is the conformal metric\n @enddesc\n@@*/\n\n#ifndef DCGDT_DECLARE\n#define DCGDT_DECLARE\n\n#include \"LIEG_declare.h\"\n\n#ifdef FCODE\n\n/* Input variables */\n#undef DCGDT_A\n#define DCGDT_A alp(i,j,k)\n#undef DCGDT_KXX \n#define DCGDT_KXX kxx(i,j,k)\n#undef DCGDT_KXY \n#define DCGDT_KXY kxy(i,j,k)\n#undef DCGDT_KXZ \n#define DCGDT_KXZ kxz(i,j,k)\n#undef DCGDT_KYY \n#define DCGDT_KYY kyy(i,j,k)\n#undef DCGDT_KYZ \n#define DCGDT_KYZ kyz(i,j,k)\n#undef DCGDT_KZZ \n#define DCGDT_KZZ kzz(i,j,k)\n#undef DCGDT_PSI \n#define DCGDT_PSI 1.\n\n/* Internal variables */\n#undef DCGDT_IPSI4\n#define DCGDT_IPSI4 cdgdt_ipsi4\n\n/* Output variables */ \n#undef DCGDT_DCGXXDT\n#define DCGDT_DCGXXDT cdgdt_cdgxxdt\n#undef DCGDT_DCGXYDT\n#define DCGDT_DCGXYDT cdgdt_cdgxydt\n#undef DCGDT_DCGXZDT\n#define DCGDT_DCGXZDT cdgdt_cdgxzdt\n#undef DCGDT_DCGYYDT\n#define DCGDT_DCGYYDT cdgdt_cdgyydt\n#undef DCGDT_DCGYZDT\n#define DCGDT_DCGYZDT cdgdt_cdgyzdt\n#undef DCGDT_DCGZZDT\n#define DCGDT_DCGZZDT cdgdt_cdgzzdt\n\n/* Declare internal variables */\n CCTK_REAL DCGDT_IPSI4\n\n/* Declare output variables */\n CCTK_REAL DCGDT_DCGXXDT\n CCTK_REAL DCGDT_DCGXYDT\n CCTK_REAL DCGDT_DCGXZDT\n CCTK_REAL DCGDT_DCGYYDT\n CCTK_REAL DCGDT_DCGYZDT\n CCTK_REAL DCGDT_DCGZZDT\n\n#endif\n\n\n#ifdef CCODE\n\n/* Input variables */\n#undef DCGDT_A\n#define DCGDT_A alp[ijk]\n#undef DCGDT_KXX \n#define DCGDT_KXX kxx[ijk]\n#undef DCGDT_KXY \n#define DCGDT_KXY kxy[ijk]\n#undef DCGDT_KXZ \n#define DCGDT_KXZ kxz[ijk]\n#undef DCGDT_KYY \n#define DCGDT_KYY kyy[ijk]\n#undef DCGDT_KYZ \n#define DCGDT_KYZ kyz[ijk]\n#undef DCGDT_KZZ \n#define DCGDT_KZZ kzz[ijk]\n#undef DCGDT_PSI \n#define DCGDT_PSI 1.\n\n/* Internal variables */\n#undef DCGDT_IPSI4\n#define DCGDT_IPSI4 cdgdt_ipsi4\n\n/* Output variables */ \n#undef DCGDT_DCGXXDT\n#define DCGDT_DCGXXDT cdgdt_cdgxxdt\n#undef DCGDT_DCGXYDT\n#define DCGDT_DCGXYDT cdgdt_cdgxydt\n#undef DCGDT_DCGXZDT\n#define DCGDT_DCGXZDT cdgdt_cdgxzdt\n#undef DCGDT_DCGYYDT\n#define DCGDT_DCGYYDT cdgdt_cdgyydt\n#undef DCGDT_DCGYZDT\n#define DCGDT_DCGYZDT cdgdt_cdgyzdt\n#undef DCGDT_DCGZZDT\n#define DCGDT_DCGZZDT cdgdt_cdgzzdt\n\n/* Declare internal variables */\n CCTK_REAL DCGDT_IPSI4;\n\n/* Declare output variables */\n CCTK_REAL DCGDT_DCGXXDT;\n CCTK_REAL DCGDT_DCGXYDT;\n CCTK_REAL DCGDT_DCGXZDT;\n CCTK_REAL DCGDT_DCGYYDT;\n CCTK_REAL DCGDT_DCGYZDT;\n CCTK_REAL DCGDT_DCGZZDT;\n\n#endif\n\n#endif\n", + "macro/DG_undefine.h": "/*@@\n @header DG_undefine.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n @enddesc\n@@*/\n\n#undef DG_GUTS\n\n#include \"DXDG_undefine.h\"\n#include \"DYDG_undefine.h\"\n#include \"DZDG_undefine.h\"\n\n", + "macro/DCGDT_undefine.h": "/*@@\n @header DCGDT_undefine.h\n @date Jul 98\n @author Gabrielle Allen\n @desc\n @enddesc\n@@*/\n\n#undef DCGDT_GUTS\n\n#include \"LIEG_undefine.h\"\n\n\n", + "macro/ADM_Spacing.h": "/*@@\n @header ADM_Spacing.h\n @date June 2002\n @author Denis Pollney\n @desc\n Calculate various spacing dependent scalars.\n @enddesc\n@@*/\n\n#ifndef ADM_SPACING_H\n#define ADM_SPACING_H\n\n#ifdef FCODE\n\n dt=CCTK_DELTA_TIME\n dx=CCTK_DELTA_SPACE(1)\n dy=CCTK_DELTA_SPACE(2)\n dz=CCTK_DELTA_SPACE(3)\n\n idx=1.d0/dx\n idy=1.d0/dy\n idz=1.d0/dz\n\n i2dx=idx/2.d0\n i2dy=idy/2.d0\n i2dz=idz/2.d0\n\n i12dx=idx/12.d0\n i12dy=idy/12.d0\n i12dz=idz/12.d0\n\n idxx=idx**2\n idyy=idy**2\n idzz=idz**2\n\n i12dxx=idxx/12.d0\n i12dyy=idyy/12.d0\n i12dzz=idzz/12.d0\n\n idxy=i2dx*i2dy\n idxz=i2dx*i2dz\n idyz=i2dy*i2dz\n\n i36dxy=idxy/36.d0\n i36dxz=idxz/36.d0\n i36dyz=idyz/36.d0\n\n#endif\n\n#ifdef CCODE\n\n dt=CCTK_DELTA_TIME;\n dx=CCTK_DELTA_SPACE(0);\n dy=CCTK_DELTA_SPACE(1);\n dz=CCTK_DELTA_SPACE(2);\n\n idx=1.0/dx;\n idy=1.0/dy;\n idz=1.0/dz;\n\n i2dx=idx/2.0;\n i2dy=idy/2.0;\n i2dz=idz/2.0;\n\n i12dx=idx/12.0;\n i12dy=idy/12.0;\n i12dz=idz/12.0;\n\n idxx=idx*idx;\n idyy=idy*idy;\n idzz=idz*idz;\n\n i12dxx=idxx/12.0;\n i12dyy=idyy/12.0;\n i12dzz=idzz/12.0;\n\n idxy=i2dx*i2dy;\n idxz=i2dx*i2dz;\n idyz=i2dy*i2dz;\n\n i36dxy=idxy/36.0;\n i36dxz=idxz/36.0;\n i36dyz=idyz/36.0;\n\n#endif\n\n#endif\n", + "macro/DYDCG_declare.h": "/*@@\n @header DYDCG_declare.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n Declarations for macro @seefile DYDCG_guts.h to compute first \n derivatives of the conformal metric with respect to y\n @enddesc\n@@*/\n\n#ifndef DYDCG_DECLARE\n\n#ifdef FCODE\n\n/* Input variables */\n#undef DYDCG_GXX_JP \n#define DYDCG_GXX_JP gxx(i,j+1,k)\n#undef DYDCG_GXX_JM\n#define DYDCG_GXX_JM gxx(i,j-1,k)\n#undef DYDCG_GXY_JP \n#define DYDCG_GXY_JP gxy(i,j+1,k)\n#undef DYDCG_GXY_JM \n#define DYDCG_GXY_JM gxy(i,j-1,k)\n#undef DYDCG_GXZ_JP \n#define DYDCG_GXZ_JP gxz(i,j+1,k)\n#undef DYDCG_GXZ_JM\n#define DYDCG_GXZ_JM gxz(i,j-1,k)\n#undef DYDCG_GYY_JP \n#define DYDCG_GYY_JP gyy(i,j+1,k)\n#undef DYDCG_GYY_JM \n#define DYDCG_GYY_JM gyy(i,j-1,k)\n#undef DYDCG_GYZ_JP \n#define DYDCG_GYZ_JP gyz(i,j+1,k)\n#undef DYDCG_GYZ_JM \n#define DYDCG_GYZ_JM gyz(i,j-1,k)\n#undef DYDCG_GZZ_JP \n#define DYDCG_GZZ_JP gzz(i,j+1,k)\n#undef DYDCG_GZZ_JM\n#define DYDCG_GZZ_JM gzz(i,j-1,k)\n\n/* Output variables */ \n#undef DYDCG_DYDCGXX\n#define DYDCG_DYDCGXX delgb211\n#undef DYDCG_DYDCGXY\n#define DYDCG_DYDCGXY delgb212\n#undef DYDCG_DYDCGXZ\n#define DYDCG_DYDCGXZ delgb213\n#undef DYDCG_DYDCGYY\n#define DYDCG_DYDCGYY delgb222\n#undef DYDCG_DYDCGYZ\n#define DYDCG_DYDCGYZ delgb223\n#undef DYDCG_DYDCGZZ\n#define DYDCG_DYDCGZZ delgb233\n\n/* Internal variables */\n#undef DYDCG_DY\n#define DYDCG_DY dy\n#undef DYDCG_OO2DY \n#define DYDCG_OO2DY cdydg_oo2dy\n\n/* Declare internal variables */\n CCTK_REAL DYDCG_OO2DY\n\n/* Declare output variables */\n CCTK_REAL DYDCG_DYDCGXX\n CCTK_REAL DYDCG_DYDCGXY\n CCTK_REAL DYDCG_DYDCGXZ\n CCTK_REAL DYDCG_DYDCGYY\n CCTK_REAL DYDCG_DYDCGYZ\n CCTK_REAL DYDCG_DYDCGZZ\n\n#endif\n\n\n#ifdef CCODE\n\n/* Input variables */\n#undef DYDCG_GXX_JP \n#define DYDCG_GXX_JP gxx[ dj+ijk]\n#undef DYDCG_GXX_JM\n#define DYDCG_GXX_JM gxx[-dj+ijk]\n#undef DYDCG_GXY_JP \n#define DYDCG_GXY_JP gxy[ dj+ijk]\n#undef DYDCG_GXY_JM \n#define DYDCG_GXY_JM gxy[-dj+ijk]\n#undef DYDCG_GXZ_JP \n#define DYDCG_GXZ_JP gxz[ dj+ijk]\n#undef DYDCG_GXZ_JM\n#define DYDCG_GXZ_JM gxz[-dj+ijk]\n#undef DYDCG_GYY_JP \n#define DYDCG_GYY_JP gyy[ dj+ijk]\n#undef DYDCG_GYY_JM \n#define DYDCG_GYY_JM gyy[-dj+ijk]\n#undef DYDCG_GYZ_JP \n#define DYDCG_GYZ_JP gyz[ dj+ijk]\n#undef DYDCG_GYZ_JM \n#define DYDCG_GYZ_JM gyz[-dj+ijk]\n#undef DYDCG_GZZ_JP \n#define DYDCG_GZZ_JP gzz[ dj+ijk]\n#undef DYDCG_GZZ_JM\n#define DYDCG_GZZ_JM gzz[-dj+ijk]\n\n/* Output variables */ \n#undef DYDCG_DYDCGXX\n#define DYDCG_DYDCGXX delgb211\n#undef DYDCG_DYDCGXY\n#define DYDCG_DYDCGXY delgb212\n#undef DYDCG_DYDCGXZ\n#define DYDCG_DYDCGXZ delgb213\n#undef DYDCG_DYDCGYY\n#define DYDCG_DYDCGYY delgb222\n#undef DYDCG_DYDCGYZ\n#define DYDCG_DYDCGYZ delgb223\n#undef DYDCG_DYDCGZZ\n#define DYDCG_DYDCGZZ delgb233\n\n/* Internal variables */\n#undef DYDCG_OO2DY \n#define DYDCG_OO2DY cdydg_oo2dy\n\n/* Declare internal variables */\nCCTK_REAL DYDCG_OO2DY;\n\n/* Declare output variables */\nCCTK_REAL DYDCG_DYDCGXX;\nCCTK_REAL DYDCG_DYDCGXY;\nCCTK_REAL DYDCG_DYDCGXZ;\nCCTK_REAL DYDCG_DYDCGYY;\nCCTK_REAL DYDCG_DYDCGYZ;\nCCTK_REAL DYDCG_DYDCGZZ;\n\n#endif\n\n#define DYDCG_DECLARE\n\n#endif\n\n", + "macro/DG_declare.h": "/*@@\n @header DG_declare.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n\n Declarations for macro to calculate all the first derivatives of the \n physical metric with respect to x, y, z using the subsidary macros\n @seefile DXDG_guts.h @seefile DYDG_guts.h and @seefile DZDG_guts.h.\n\n Calls the macros @seefile DXDG_declare.h @seefile DYDG_declare.h\n and @seefile DZDG_declare.h.\n\n @enddesc\n@@*/\n\n#ifndef DG_DECLARE\n#define DG_DECLARE\n\n#include \"DXDG_declare.h\"\n#include \"DYDG_declare.h\"\n#include \"DZDG_declare.h\"\n\n#endif\n", + "macro/TRRICCI_guts.h": "/*@@\n @header TRRICCI_guts.h\n @date Aug 98\n @author Gabrielle Allen\n @desc\n\n Macro to calculate the trace of the 3-Ricci\n\n @enddesc\n@@*/\n\n#ifndef TRRICCI_GUTS\n#define TRRICCI_GUTS\n\n#include \"UPPERMET_guts.h\"\n#include \"RICCI_guts.h\"\n\n#ifdef FCODE\n\n TRRICCI_TRRICCI = UPPERMET_UXX*RICCI_RXX + UPPERMET_UYY*RICCI_RYY \\\n + UPPERMET_UZZ*RICCI_RZZ + 2D0*(UPPERMET_UXY*RICCI_RXY \\\n + UPPERMET_UXZ*RICCI_RXZ + UPPERMET_UYZ*RICCI_RYZ)\n \n#endif\n\n#ifdef CCODE\n\n TRRICCI_TRRICCI = UPPERMET_UXX*RICCI_RXX + UPPERMET_UYY*RICCI_RYY\n + UPPERMET_UZZ*RICCI_RZZ + 2*(UPPERMET_UXY*RICCI_RXY\n + UPPERMET_UXZ*RICCI_RXZ + UPPERMET_UYZ*RICCI_RYZ);\n\n#endif\n\n#endif\n \n", + "macro/STRESSENERGY_undefine.h": "/*@@\n @header STRESSENERGY_undefine.h\n @date Nov 98\n @author Gabrielle Allen\n @desc\n Macro to calculate the components of the stress energy\n tensor\n scheme\n @enddesc\n@@*/\n\n#undef STRESSENERGY_GUTS\n\n#include \"DETG_undefine.h\"\n#include \"UPPERMET_undefine.h\"\n#include \"TRT_undefine.h\"\n\n", + "macro/TRK_declare.h": "/*@@\n @header TRK_guts.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n\n Declarations for macro to calculate the trace of the Extrinsic\n curvature\n\n @enddesc\n@@*/\n\n#ifndef TRK_DECLARE\n#define TRK_DECLARE\n\n#include \"UPPERMET_declare.h\"\n\n#ifdef FCODE\n\n/* Input variables */\n#undef TRK_HXX\n#define TRK_HXX kxx(i,j,k)\n#undef TRK_HXY\n#define TRK_HXY kxy(i,j,k)\n#undef TRK_HXZ\n#define TRK_HXZ kxz(i,j,k)\n#undef TRK_HYY\n#define TRK_HYY kyy(i,j,k)\n#undef TRK_HYZ\n#define TRK_HYZ kyz(i,j,k)\n#undef TRK_HZZ\n#define TRK_HZZ kzz(i,j,k)\n\n/* Output variables */\n#undef TRK_TRK\n#define TRK_TRK trk_trK\n\n/* Declare output variables */\n CCTK_REAL TRK_TRK\n\n#endif\n\n#ifdef CCODE\n\n/* Input variables */\n#undef TRK_HXX\n#define TRK_HXX kxx[ijk]\n#undef TRK_HXY\n#define TRK_HXY kxy[ijk]\n#undef TRK_HXZ\n#define TRK_HXZ kxz[ijk]\n#undef TRK_HYY\n#define TRK_HYY kyy[ijk]\n#undef TRK_HYZ\n#define TRK_HYZ kyz[ijk]\n#undef TRK_HZZ\n#define TRK_HZZ kzz[ijk]\n\n/* Output variables */\n#undef TRK_TRK\n#define TRK_TRK trk_trK\n\n/* Declare output variables */\nCCTK_REAL TRK_TRK;\n\n#endif\n\n#endif\n", + "macro/DA_guts.h": "/*@@\n @header DA_guts.h\n @date Jul 98\n @author Gabrielle Allen\n @desc\n Macro to calculate all first spatial derivative of lapse\n @enddesc\n@@*/\n\n#ifndef DA_GUTS\n#define DA_GUTS\n\n#ifdef FCODE \n\n#include \"ADM_Derivative.h\"\n\n if (local_spatial_order.eq.2) then\n DA_DXDA = ADM_DX_2(alp,i,j,k)\n DA_DYDA = ADM_DY_2(alp,i,j,k)\n DA_DZDA = ADM_DZ_2(alp,i,j,k)\n else\n DA_DXDA = ADM_DX_4(alp,i,j,k)\n DA_DYDA = ADM_DY_4(alp,i,j,k)\n DA_DZDA = ADM_DZ_4(alp,i,j,k)\n end if\n\n#endif\n\n#ifdef CCODE\n\n DA_OO2DX = 1/(2*DA_DX);\n DA_OO2DY = 1/(2*DA_DY);\n DA_OO2DZ = 1/(2*DA_DZ);\n\n DA_DXDA = DA_OO2DX*(DA_A_IP - DA_A_IM);\n DA_DYDA = DA_OO2DY*(DA_A_JP - DA_A_JM);\n DA_DZDA = DA_OO2DZ*(DA_A_KP - DA_A_KM);\n\n#endif\n\n#endif\n\n", + "macro/TRT_guts.h": "/*@@\n @header TRT_guts.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n\n Macro to calculate the trace of the (4-)stress energy tensor\n\n @enddesc\n@@*/\n\n#ifndef TRT_GUTS\n#define TRT_GUTS\n\n#include \"UPPERMET_guts.h\"\n\n#ifdef FCODE\n\n TRT_IALP2 = 1D0/TRT_ALP**2\n\n TRT_TRT = -TRT_TTT*TRT_IALP2+TRT_TXX*UPPERMET_UXX+ \\\n TRT_TYY*UPPERMET_UYY+TRT_TZZ*UPPERMET_UZZ+2D0*( \\\n TRT_TXY*UPPERMET_UXY+TRT_TXZ*UPPERMET_UXZ+TRT_TYZ* \\\n UPPERMET_UYZ)\n\n\n if (shift_state .ne. 0) then\n \n TRT_TRT = TRT_TRT - TRT_IALP2*(TRT_TXX*TRT_BX*TRT_BX \\\n + TRT_TYY*TRT_BY*TRT_BY + TRT_TZZ*TRT_BZ*TRT_BZ \\\n + 2D0*(TRT_TXY*TRT_BX*TRT_BY + TRT_TXZ*TRT_BX*TRT_BZ \\\n + TRT_TYZ*TRT_BY*TRT_BZ -TRT_TTX*TRT_BX -TRT_TTY*TRT_BY \\\n -TRT_TTZ*TRT_BZ))\n\n endif\n \n#endif\n\n#ifdef CCODE\n\n TRT_IALP2 = 1D0/TRT_ALP**2;\n\n TRT_TRT = -TRT_TTT*TRT_IALP2+TRT_TXX*UPPERMET_UXX+\n TRT_TYY*UPPERMET_UYY+TRT_TZZ*UPPERMET_UZZ+2D0*(\n TRT_TXY*UPPERMET_UXY+TRT_TXZ*UPPERMET_UXZ+TRT_TYZ*\n UPPERMET_UYZ)\n\n\n if (shift_state != 0) \n {\n TRT_TRT = TRT_TRT - TRT_IALP2*(TRT_TXX*TRT_BX*TRT_BX\n + TRT_TYY*TRT_BY*TRT_BY + TRT_TZZ*TRT_BZ*TRT_BZ\n + 2D0*(TRT_TXY*TRT_BX*TRT_BY + TRT_TXZ*TRT_BX*TRT_BZ\n + TRT_TYZ*TRT_BY*TRT_BZ -TRT_TTX*TRT_BX -TRT_TTY*TRT_BY\n -TRT_TTZ*TRT_BZ))\n\n }\n\n#endif\n\n#endif\n \n", + "macro/RICCI_undefine.h": "/*@@\n @header RICCI_undefine.h\n @date Jul 98\n @author Gabrielle Allen\n @desc\n @enddesc\n@@*/\n\n#undef RICCI_GUTS\n\n#include \"UPPERMET_undefine.h\"\n#include \"DDG_undefine.h\"\n#include \"CHR1_undefine.h\"\n#include \"CHR2_undefine.h\"\n", + "macro/GAMMA_guts.h": "/*@@\n @header GAMMA_guts.h\n @date Oct 98\n @author Gabrielle Allen\n @desc\n Macro to calculate Gauge Source Functions (Gammas)\n\n That is GAMMA_Ga = g^bc CHR2_abc\n\n @enddesc\n@@*/\n\n#ifndef GAMMA_GUTS\n#define GAMMA_GUTS\n\n#include \"CHR2_guts.h\"\n#include \"UPPERMET_guts.h\"\n\n#ifdef FCODE \n\n GAMMA_GAMMAX = UPPERMET_UXX*CHR2_XXX + 2D0*UPPERMET_UXY*CHR2_XXY \\\n + 2D0*UPPERMET_UXZ*CHR2_XXZ + UPPERMET_UYY*CHR2_XYY \\\n + 2D0*UPPERMET_UYZ*CHR2_XYZ + UPPERMET_UZZ*CHR2_XZZ \n\n GAMMA_GAMMAY = UPPERMET_UXX*CHR2_YXX + 2D0*UPPERMET_UXY*CHR2_YXY \\\n + 2D0*UPPERMET_UXZ*CHR2_YXZ + UPPERMET_UYY*CHR2_YYY \\\n + 2D0*UPPERMET_UYZ*CHR2_YYZ + UPPERMET_UZZ*CHR2_YZZ \n\n GAMMA_GAMMAZ = UPPERMET_UXX*CHR2_ZXX + 2D0*UPPERMET_UXY*CHR2_ZXY \\\n + 2D0*UPPERMET_UXZ*CHR2_ZXZ + UPPERMET_UYY*CHR2_ZYY \\\n + 2D0*UPPERMET_UYZ*CHR2_ZYZ + UPPERMET_UZZ*CHR2_ZZZ \n\n#endif\n\n#ifdef CCODE\n\n GAMMA_GAMMAX = UPPERMET_UXX*CHR2_XXX + 2*UPPERMET_UXY*CHR2_XXY\n + 2*UPPERMET_UXZ*CHR2_XXZ + UPPERMET_UYY*CHR2_XYY \n + 2*UPPERMET_UYZ*CHR2_XYZ + UPPERMET_UZZ*CHR2_XZZ; \n\n GAMMA_GAMMAY = UPPERMET_UXX*CHR2_YXX + 2*UPPERMET_UXY*CHR2_YXY\n + 2*UPPERMET_UXZ*CHR2_YXZ + UPPERMET_UYY*CHR2_YYY \n + 2*UPPERMET_UYZ*CHR2_YYZ + UPPERMET_UZZ*CHR2_YZZ; \n\n GAMMA_GAMMAZ = UPPERMET_UXX*CHR2_ZXX + 2*UPPERMET_UXY*CHR2_ZXY\n + 2*UPPERMET_UXZ*CHR2_ZXZ + UPPERMET_UYY*CHR2_ZYY \n + 2*UPPERMET_UYZ*CHR2_ZYZ + UPPERMET_UZZ*CHR2_ZZZ;\n\n#endif\n\n#endif\n", + "macro/TRKK_declare.h": "/*@@\n @header TRKK_guts.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n\n Declarations for macro to calculate the trace of \n K_lj K^j_i\n\n @enddesc\n@@*/\n\n#ifndef TRKK_DECLARE\n#define TRKK_DECLARE\n\n#include \"UPPERMET_declare.h\"\n#include \"KK_declare.h\"\n\n#ifdef FCODE\n\n/* Output variables */\n#undef TRKK_TRKK\n#define TRKK_TRKK trkk_trkk\n\n/* Declare output variables */\n CCTK_REAL TRKK_TRKK\n\n#endif\n\n#ifdef CCODE\n\n/* Output variables */\n#undef TRKK_TRKK\n#define TRKK_TRKK trkk_trkk\n\n/* Declare output variables */\nCCTK_REAL TRKK_TRKK;\n\n#endif\n\n#endif\n", + "macro/TRT_undefine.h": "/*@@\n @header TRT_undefine.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n @enddesc\n@@*/\n\n#undef TRT_GUTS\n\n#include \"UPPERMET_undefine.h\"\n\n\n \n", + "macro/NABA_guts.h": "/*@@\n @header NABA_guts.h\n @date Jul 98\n @author Gabrielle Allen\n @desc\n Macro to calculate the nabla operator acting on the lapse\n\n That is alpha_i^i\n\n @enddesc\n@@*/\n\n#ifndef NABA_GUTS\n#define NABA_GUTS\n\n#include \"UPPERMET_guts.h\"\n#include \"CDCDA_guts.h\"\n\n#ifdef FCODE \n\n NABA_NABA = UPPERMET_UXX*CDCDA_CDXXDA+UPPERMET_UYY*CDCDA_CDYYDA \\\n +UPPERMET_UZZ*CDCDA_CDZZDA+2*(UPPERMET_UXY*CDCDA_CDXYDA+UPPERMET_UXZ*CDCDA_CDXZDA \\\n +UPPERMET_UYZ*CDCDA_CDYZDA)\n\n#endif\n\n#ifdef CCODE\n\n NABA_NABA = UPPERMET_UXX*CDCDA_CDXXDA+UPPERMET_UYY*CDCDA_CDYYDA\n +UPPERMET_UZZ*CDCDA_CDZZDA+2*(UPPERMET_UXY*CDCDA_CDXYDA+UPPERMET_UXZ*CDCDA_CDXZDA\n +UPPERMET_UYZ*CDCDA_CDYZDA);\n\n#endif\n\n#endif\n\n", + "macro/GAMMA_undefine.h": "/*@@\n @header GAMMA_undefine.h\n @date Oct 98\n @author Gabrielle Allen\n @desc\n @enddesc\n@@*/\n\n#undef GAMMA_GUTS\n\n#include \"CHR2_undefine.h\"\n#include \"UPPERMET_undefine.h\"\n\n", + "macro/DDA_undefine.h": "/*@@\n @header DDA_undefine.h\n @date Jul 98\n @author Gabrielle Allen\n @desc\n @enddesc\n@@*/\n\n#undef DDA_GUTS\n\n", + "macro/DYZDG_declare.h": "/*@@\n @header DYZDG_declare.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n Declaration for macro to calculate the (first and) second derivatives \n of the physical metric with respect to x,z\n\n The macro uses @seefile DYDG_guts.h , @seefile DZDG_guts.h and \n @seefile DYDG_declare.h , @seefile DZDG_declare.h\n @enddesc\n@@*/\n\n#ifndef DYZDG_DECLARE\n#define DYZDG_DECLARE\n\n#include \"DYDG_declare.h\"\n#include \"DZDG_declare.h\"\n\n#ifdef FCODE\n\n/* Input variables */\n#undef DYZDG_GXX_JPKP \n#define DYZDG_GXX_JPKP gxx(i,j+1,k+1)\n#undef DYZDG_GXX_JPKM \n#define DYZDG_GXX_JPKM gxx(i,j+1,k-1)\n#undef DYZDG_GXX_JMKP \n#define DYZDG_GXX_JMKP gxx(i,j-1,k+1)\n#undef DYZDG_GXX_JMKM \n#define DYZDG_GXX_JMKM gxx(i,j-1,k-1)\n\n#undef DYZDG_GXY_JPKP \n#define DYZDG_GXY_JPKP gxy(i,j+1,k+1)\n#undef DYZDG_GXY_JPKM \n#define DYZDG_GXY_JPKM gxy(i,j+1,k-1)\n#undef DYZDG_GXY_JMKP \n#define DYZDG_GXY_JMKP gxy(i,j-1,k+1)\n#undef DYZDG_GXY_JMKM \n#define DYZDG_GXY_JMKM gxy(i,j-1,k-1)\n\n#undef DYZDG_GXZ_JPKP \n#define DYZDG_GXZ_JPKP gxz(i,j+1,k+1)\n#undef DYZDG_GXZ_JPKM \n#define DYZDG_GXZ_JPKM gxz(i,j+1,k-1)\n#undef DYZDG_GXZ_JMKP \n#define DYZDG_GXZ_JMKP gxz(i,j-1,k+1)\n#undef DYZDG_GXZ_JMKM \n#define DYZDG_GXZ_JMKM gxz(i,j-1,k-1)\n\n#undef DYZDG_GYY_JPKP \n#define DYZDG_GYY_JPKP gyy(i,j+1,k+1)\n#undef DYZDG_GYY_JPKM \n#define DYZDG_GYY_JPKM gyy(i,j+1,k-1)\n#undef DYZDG_GYY_JMKP \n#define DYZDG_GYY_JMKP gyy(i,j-1,k+1)\n#undef DYZDG_GYY_JMKM \n#define DYZDG_GYY_JMKM gyy(i,j-1,k-1)\n\n#undef DYZDG_GYZ_JPKP \n#define DYZDG_GYZ_JPKP gyz(i,j+1,k+1)\n#undef DYZDG_GYZ_JPKM \n#define DYZDG_GYZ_JPKM gyz(i,j+1,k-1)\n#undef DYZDG_GYZ_JMKP \n#define DYZDG_GYZ_JMKP gyz(i,j-1,k+1)\n#undef DYZDG_GYZ_JMKM \n#define DYZDG_GYZ_JMKM gyz(i,j-1,k-1)\n\n#undef DYZDG_GZZ_JPKP \n#define DYZDG_GZZ_JPKP gzz(i,j+1,k+1)\n#undef DYZDG_GZZ_JPKM \n#define DYZDG_GZZ_JPKM gzz(i,j+1,k-1)\n#undef DYZDG_GZZ_JMKP \n#define DYZDG_GZZ_JMKP gzz(i,j-1,k+1)\n#undef DYZDG_GZZ_JMKM \n#define DYZDG_GZZ_JMKM gzz(i,j-1,k-1)\n\n/* Output variables */\n#undef DYZDG_DYZDGXX\n#define DYZDG_DYZDGXX deldelg2311\n#undef DYZDG_DYZDGXY\n#define DYZDG_DYZDGXY deldelg2312\n#undef DYZDG_DYZDGXZ\n#define DYZDG_DYZDGXZ deldelg2313\n#undef DYZDG_DYZDGYY\n#define DYZDG_DYZDGYY deldelg2322\n#undef DYZDG_DYZDGYZ\n#define DYZDG_DYZDGYZ deldelg2323\n#undef DYZDG_DYZDGZZ\n#define DYZDG_DYZDGZZ deldelg2333\n\n/* Internal variables */\n#undef DYZDG_FAC \n#define DYZDG_FAC dyzdg_fac\n#undef DYZDG_OO4DYDZ\n#define DYZDG_OO4DYDZ dyzdg_oo4dydz\n#undef DYZDG_DYZDPSI_O_PSI\n#define DYZDG_DYZDPSI_O_PSI 0.\n\n/* Declare internal variables */\n CCTK_REAL DYZDG_FAC\n CCTK_REAL DYZDG_OO4DYDZ\n\n/* Declare output variables */\n CCTK_REAL DYZDG_DYZDGXX\n CCTK_REAL DYZDG_DYZDGXY\n CCTK_REAL DYZDG_DYZDGXZ\n CCTK_REAL DYZDG_DYZDGYY\n CCTK_REAL DYZDG_DYZDGYZ\n CCTK_REAL DYZDG_DYZDGZZ\n\n#endif\n\n#ifdef CCODE\n\n/* Input variables */\n#undef DYZDG_GXX_JPKP \n#define DYZDG_GXX_JPKP gxx[ dj + dk + ijk]\n#undef DYZDG_GXX_JPKM \n#define DYZDG_GXX_JPKM gxx[ dj - dk + ijk]\n#undef DYZDG_GXX_JMKP \n#define DYZDG_GXX_JMKP gxx[-dj + dk + ijk]\n#undef DYZDG_GXX_JMKM \n#define DYZDG_GXX_JMKM gxx[-dj - dk + ijk]\n\n#undef DYZDG_GXY_JPKP \n#define DYZDG_GXY_JPKP gxy[ dj + dk + ijk]\n#undef DYZDG_GXY_JPKM \n#define DYZDG_GXY_JPKM gxy[ dj - dk + ijk]\n#undef DYZDG_GXY_JMKP \n#define DYZDG_GXY_JMKP gxy[-dj + dk + ijk]\n#undef DYZDG_GXY_JMKM \n#define DYZDG_GXY_JMKM gxy[-dj - dk + ijk]\n\n#undef DYZDG_GXZ_JPKP \n#define DYZDG_GXZ_JPKP gxz[ dj + dk + ijk]\n#undef DYZDG_GXZ_JPKM \n#define DYZDG_GXZ_JPKM gxz[ dj - dk + ijk]\n#undef DYZDG_GXZ_JMKP \n#define DYZDG_GXZ_JMKP gxz[-dj + dk + ijk]\n#undef DYZDG_GXZ_JMKM \n#define DYZDG_GXZ_JMKM gxz[-dj - dk + ijk]\n\n#undef DYZDG_GYY_JPKP \n#define DYZDG_GYY_JPKP gyy[ dj + dk + ijk]\n#undef DYZDG_GYY_JPKM \n#define DYZDG_GYY_JPKM gyy[ dj - dk + ijk]\n#undef DYZDG_GYY_JMKP \n#define DYZDG_GYY_JMKP gyy[-dj + dk + ijk]\n#undef DYZDG_GYY_JMKM \n#define DYZDG_GYY_JMKM gyy[-dj - dk + ijk]\n\n#undef DYZDG_GYZ_JPKP \n#define DYZDG_GYZ_JPKP gyz[ dj + dk + ijk]\n#undef DYZDG_GYZ_JPKM \n#define DYZDG_GYZ_JPKM gyz[ dj - dk + ijk]\n#undef DYZDG_GYZ_JMKP \n#define DYZDG_GYZ_JMKP gyz[-dj + dk + ijk]\n#undef DYZDG_GYZ_JMKM \n#define DYZDG_GYZ_JMKM gyz[-dj - dk + ijk]\n\n#undef DYZDG_GZZ_JPKP \n#define DYZDG_GZZ_JPKP gzz[ dj + dk + ijk]\n#undef DYZDG_GZZ_JPKM \n#define DYZDG_GZZ_JPKM gzz[ dj - dk + ijk]\n#undef DYZDG_GZZ_JMKP \n#define DYZDG_GZZ_JMKP gzz[-dj + dk + ijk]\n#undef DYZDG_GZZ_JMKM \n#define DYZDG_GZZ_JMKM gzz[-dj - dk + ijk]\n\n/* Output variables */\n#undef DYZDG_DYZDGXX\n#define DYZDG_DYZDGXX deldelg2311\n#undef DYZDG_DYZDGXY\n#define DYZDG_DYZDGXY deldelg2312\n#undef DYZDG_DYZDGXZ\n#define DYZDG_DYZDGXZ deldelg2313\n#undef DYZDG_DYZDGYY\n#define DYZDG_DYZDGYY deldelg2322\n#undef DYZDG_DYZDGYZ\n#define DYZDG_DYZDGYZ deldelg2323\n#undef DYZDG_DYZDGZZ\n#define DYZDG_DYZDGZZ deldelg2333\n\n/* Internal variables */\n#undef DYZDG_FAC \n#define DYZDG_FAC dyzdg_fac\n#undef DYZDG_OO4DYDZ\n#define DYZDG_OO4DYDZ dyzdg_oo4dydz\n#undef DYZDG_DYZDPSI_O_PSI\n#define DYZDG_DYZDPSI_O_PSI 0.\n\n/* Declare internal variables */\nCCTK_REAL DYZDG_FAC;\nCCTK_REAL DYZDG_OO4DYDZ = 1/(4*cctkGH->cctk_delta_space[1]*cctkGH->cctk_delta_space[2]);\n\n/* Declare output variables */\nCCTK_REAL DYZDG_DYZDGXX;\nCCTK_REAL DYZDG_DYZDGXY;\nCCTK_REAL DYZDG_DYZDGXZ;\nCCTK_REAL DYZDG_DYZDGYY;\nCCTK_REAL DYZDG_DYZDGYZ;\nCCTK_REAL DYZDG_DYZDGZZ;\n\n#endif\n\n#endif\n", + "macro/UPPERMET_undefine.h": "/*@@\n @header UPPERMET_undefine.h\n @date Jul 98\n @author Gabrielle Allen\n @desc\n @enddesc\n@@*/\n\n#undef UPPERMET_GUTS\n\n#include \"DETG_undefine.h\"\n", + "macro/DZDK_declare.h": "/*@@\n @header DZDG_declare.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n Declarations for macro @seefile DZDG_guts.h to compute first \n derivatives of the conformal metric with respect to z\n @enddesc\n@@*/\n\n#ifndef DZDK_DECLARE\n#define DZDK_DECLARE\n\n#ifdef FCODE\n\n/* Input variables */\n#undef DZDK_KXX_KP \n#define DZDK_KXX_KP kxx(i,j,k+1)\n#undef DZDK_KXX_KM\n#define DZDK_KXX_KM kxx(i,j,k-1)\n#undef DZDK_KXY_KP \n#define DZDK_KXY_KP kxy(i,j,k+1)\n#undef DZDK_KXY_KM \n#define DZDK_KXY_KM kxy(i,j,k-1)\n#undef DZDK_KXZ_KP \n#define DZDK_KXZ_KP kxz(i,j,k+1)\n#undef DZDK_KXZ_KM\n#define DZDK_KXZ_KM kxz(i,j,k-1)\n#undef DZDK_KYY_KP \n#define DZDK_KYY_KP kyy(i,j,k+1)\n#undef DZDK_KYY_KM \n#define DZDK_KYY_KM kyy(i,j,k-1)\n#undef DZDK_KYZ_KP \n#define DZDK_KYZ_KP kyz(i,j,k+1)\n#undef DZDK_KYZ_KM \n#define DZDK_KYZ_KM kyz(i,j,k-1)\n#undef DZDK_KZZ_KP \n#define DZDK_KZZ_KP kzz(i,j,k+1)\n#undef DZDK_KZZ_KM\n#define DZDK_KZZ_KM kzz(i,j,k-1)\n\n/* Output variables */ \n#undef DZDK_DZDKXX\n#define DZDK_DZDKXX dzdk_dzdkxx \n#undef DZDK_DZDKXY\n#define DZDK_DZDKXY dzdk_dzdkxy\n#undef DZDK_DZDKXZ\n#define DZDK_DZDKXZ dzdk_dzdkxz\n#undef DZDK_DZDKYY\n#define DZDK_DZDKYY dzdk_dzdkyy\n#undef DZDK_DZDKYZ\n#define DZDK_DZDKYZ dzdk_dzdkyz\n#undef DZDK_DZDKZZ\n#define DZDK_DZDKZZ dzdk_dzdkzz\n\n/* Internal variables */\n#undef DZDK_DZ\n#define DZDK_DZ dz\n#undef DZDK_OO2DZ \n#define DZDK_OO2DZ dzdk_oo2dz\n\n/* Declare internal variables */\n CCTK_REAL DZDK_OO2DZ\n\n/* Declare output variables */\n CCTK_REAL DZDK_DZDKXX\n CCTK_REAL DZDK_DZDKXY\n CCTK_REAL DZDK_DZDKXZ\n CCTK_REAL DZDK_DZDKYY\n CCTK_REAL DZDK_DZDKYZ\n CCTK_REAL DZDK_DZDKZZ\n\n#endif\n\n\n#ifdef CCODE\n\n/* Input variables */\n#undef DZDK_KXX_KP \n#define DZDK_KXX_KP kxx[ dk+ijk]\n#undef DZDK_KXX_KM\n#define DZDK_KXX_KM kxx[-dk+ijk]\n#undef DZDK_KXY_KP \n#define DZDK_KXY_KP kxy[ dk+ijk]\n#undef DZDK_KXY_KM \n#define DZDK_KXY_KM kxy[-dk+ijk]\n#undef DZDK_KXZ_KP \n#define DZDK_KXZ_KP kxz[ dk+ijk]\n#undef DZDK_KXZ_KM\n#define DZDK_KXZ_KM kxz[-dk+ijk]\n#undef DZDK_KYY_KP \n#define DZDK_KYY_KP kyy[ dk+ijk]\n#undef DZDK_KYY_KM \n#define DZDK_KYY_KM kyy[-dk+ijk]\n#undef DZDK_KYZ_KP \n#define DZDK_KYZ_KP kyz[ dk+ijk]\n#undef DZDK_KYZ_KM \n#define DZDK_KYZ_KM kyz[-dk+ijk]\n#undef DZDK_KZZ_KP \n#define DZDK_KZZ_KP kzz[ dk+ijk]\n#undef DZDK_KZZ_KM\n#define DZDK_KZZ_KM kzz[-dk+ijk]\n\n/* Output variables */ \n#undef DZDK_DZDKXX\n#define DZDK_DZDKXX dzdk_dzdkxx \n#undef DZDK_DZDKXY\n#define DZDK_DZDKXY dzdk_dzdkxy\n#undef DZDK_DZDKXZ\n#define DZDK_DZDKXZ dzdk_dzdkxz\n#undef DZDK_DZDKYY\n#define DZDK_DZDKYY dzdk_dzdkyy\n#undef DZDK_DZDKYZ\n#define DZDK_DZDKYZ dzdk_dzdkyz\n#undef DZDK_DZDKZZ\n#define DZDK_DZDKZZ dzdk_dzdkzz\n\n/* Internal variables */\n#undef DZDK_OO2DZ \n#define DZDK_OO2DZ dzdk_oo2dz\n\n/* Declare internal variables */\nCCTK_REAL DZDK_OO2DZ;\n\n/* Declare output variables */\nCCTK_REAL DZDK_DZDKXX;\nCCTK_REAL DZDK_DZDKXY;\nCCTK_REAL DZDK_DZDKXZ;\nCCTK_REAL DZDK_DZDKYY;\nCCTK_REAL DZDK_DZDKYZ;\nCCTK_REAL DZDK_DZDKZZ;\n\n#endif\n\n#endif\n", + "macro/KK_declare.h": "/*@@\n @header KK_guts.h\n @date Jun 98\n @author Gabrielle Allen\n @desc\n\n Declarations for macro to calculate term K_{ik}K^{k}_{l}\n\n Requires: Upper physical metric\n Lower extrinsic curvature\n\n Provides: Components of K_{ik}K^{k}_{l}\n\n @enddesc\n@@*/\n\n#ifndef KK_DECLARE\n\n#include \"UPPERMET_declare.h\"\n\n#ifdef FCODE\n\n/* Input variables */\n#undef KK_HXX\n#define KK_HXX kxx(i,j,k)\n#undef KK_HXY\n#define KK_HXY kxy(i,j,k)\n#undef KK_HXZ\n#define KK_HXZ kxz(i,j,k)\n#undef KK_HYY\n#define KK_HYY kyy(i,j,k)\n#undef KK_HYZ\n#define KK_HYZ kyz(i,j,k)\n#undef KK_HZZ\n#define KK_HZZ kzz(i,j,k)\n\n/* Output variables */\n#undef KK_KKXX\n#define KK_KKXX KK11\n#undef KK_KKXY\n#define KK_KKXY KK12\n#undef KK_KKXZ\n#define KK_KKXZ KK13\n#undef KK_KKYY\n#define KK_KKYY KK22\n#undef KK_KKYZ\n#define KK_KKYZ KK23\n#undef KK_KKZZ\n#define KK_KKZZ KK33\n\n/* Declare output variables */\n CCTK_REAL KK_KKXX\n CCTK_REAL KK_KKXY\n CCTK_REAL KK_KKXZ\n CCTK_REAL KK_KKYY\n CCTK_REAL KK_KKYZ\n CCTK_REAL KK_KKZZ\n\n#endif\n\n#ifdef CCODE\n\n/* Input variables */\n#undef KK_HXX\n#define KK_HXX kxx[ijk]\n#undef KK_HXY\n#define KK_HXY kxy[ijk]\n#undef KK_HXZ\n#define KK_HXZ kxz[ijk]\n#undef KK_HYY\n#define KK_HYY kyy[ijk]\n#undef KK_HYZ\n#define KK_HYZ kyz[ijk]\n#undef KK_HZZ\n#define KK_HZZ kzz[ijk]\n\n/* Output variables */\n#undef KK_KKXX\n#define KK_KKXX KK11\n#undef KK_KKXY\n#define KK_KKXY KK12\n#undef KK_KKXZ\n#define KK_KKXZ KK13\n#undef KK_KKYY\n#define KK_KKYY KK22\n#undef KK_KKYZ\n#define KK_KKYZ KK23\n#undef KK_KKZZ\n#define KK_KKZZ KK33\n\n/* Declare output variables */\nCCTK_REAL KK_KKXX;\nCCTK_REAL KK_KKXY;\nCCTK_REAL KK_KKXZ;\nCCTK_REAL KK_KKYY;\nCCTK_REAL KK_KKYZ;\nCCTK_REAL KK_KKZZ;\n\n#endif\n\n#define KK_DECLARE\n\n#endif\n" + }, + "test": {}, + "doc": { + "documentation.tex": "% *======================================================================*\n% Cactus Thorn template for ThornGuide documentation\n% Author: Ian Kelley\n% Date: Sun Jun 02, 2002\n% $Header$\n%\n% Thorn documentation in the latex file doc/documentation.tex\n% will be included in ThornGuides built with the Cactus make system.\n% The scripts employed by the make system automatically include\n% pages about variables, parameters and scheduling parsed from the\n% relevant thorn CCL files.\n%\n% This template contains guidelines which help to assure that your\n% documentation will be correctly added to ThornGuides. More\n% information is available in the Cactus UsersGuide.\n%\n% Guidelines:\n% - Do not change anything before the line\n% % START CACTUS THORNGUIDE\",\n% except for filling in the title, author, date, etc. fields.\n% - Each of these fields should only be on ONE line.\n% - Author names should be separated with a \\\\ or a comma.\n% - You can define your own macros, but they must appear after\n% the START CACTUS THORNGUIDE line, and must not redefine standard\n% latex commands.\n% - To avoid name clashes with other thorns, 'labels', 'citations',\n% 'references', and 'image' names should conform to the following\n% convention:\n% ARRANGEMENT_THORN_LABEL\n% For example, an image wave.eps in the arrangement CactusWave and\n% thorn WaveToyC should be renamed to CactusWave_WaveToyC_wave.eps\n% - Graphics should only be included using the graphicx package.\n% More specifically, with the \"\\includegraphics\" command. Do\n% not specify any graphic file extensions in your .tex file. This\n% will allow us to create a PDF version of the ThornGuide\n% via pdflatex.\n% - References should be included with the latex \"\\bibitem\" command.\n% - Use \\begin{abstract}...\\end{abstract} instead of \\abstract{...}\n% - Do not use \\appendix, instead include any appendices you need as\n% standard sections.\n% - For the benefit of our Perl scripts, and for future extensions,\n% please use simple latex.\n%\n% *======================================================================*\n%\n% Example of including a graphic image:\n% \\begin{figure}[ht]\n% \t\\begin{center}\n% \t \\includegraphics[width=6cm]{MyArrangement_MyThorn_MyFigure}\n% \t\\end{center}\n% \t\\caption{Illustration of this and that}\n% \t\\label{MyArrangement_MyThorn_MyLabel}\n% \\end{figure}\n%\n% Example of using a label:\n% \\label{MyArrangement_MyThorn_MyLabel}\n%\n% Example of a citation:\n% \\cite{MyArrangement_MyThorn_Author99}\n%\n% Example of including a reference\n% \\bibitem{MyArrangement_MyThorn_Author99}\n% {J. Author, {\\em The Title of the Book, Journal, or periodical}, 1 (1999),\n% 1--16. \\texttt{http://www.nowhere.com/}}\n%\n% *======================================================================*\n\n% If you are using CVS use this line to give version information\n% $Header$\n\n\\documentclass{article}\n\n% Use the Cactus ThornGuide style file\n% (Automatically used from Cactus distribution, if you have a\n% thorn without the Cactus Flesh download this from the Cactus\n% homepage at www.cactuscode.org)\n\\usepackage{../../../../doc/latex/cactus}\n\n\\begin{document}\n\n\\title{ADMMacros}\n\\author{Original code by Gabrielle Allen,\\\\\n\tlater enhancements by Denis Pollney}\n\\date{$ $Date$ $}\n\n\\maketitle\n\n% Do not delete next line\n% START CACTUS THORNGUIDE\n\n% Add all definitions used in this documentation here\n% \\def\\mydef etc\n\\def\\ie{i.e.\\hbox{}}\n\\def\\del{\\nabla}\n\n% get size/spacing of \"++\" right, cf online C++ FAQ question 35.1\n\\def\\Cplusplus{\\hbox{C\\raise.25ex\\hbox{\\footnotesize ++}}}\n\n\n\\begin{abstract}\nProvides macros for common relativity calculations, using the\n\\textbf{ADMBase} variables.\n\\end{abstract}\n\n\n\\section{Purpose}\n\nThis thorn provides various macros which can be used to calculate\nquantities, such as the Christoffel Symbol or Riemann Tensor\ncomponents, using the basic variables of thorn \\textbf{ADMBase}.\nThe macros can be used in both\nFortran and C code. The macros work pointwise to calculate quantities\nat the grid point $(\\code{i},\\code{j},\\code{k})$; it's up to you\nto loop over all the grid points where you want computations done.\nThe macros are written in such a way that within any single loop,\nquantities which have already been calculated are automagically\nreused as needed in later calculations.\n\n\\subsection{Finite Differencing}\n\nBy default, the macros use centered 2nd~order finite differencing,\nwith 3-point finite difference molecules.\nThat is, when finite differencing the the grid-point indices\n$\\code{i} \\pm 1$, $\\code{j} \\pm 1$, and $\\code{k} \\pm 1$\nmust also be valid, and \\code{driver::ghost\\_size} must be set\nto at least $1$.\n\nSome of the macros also support centered 4th~order finite differencing;\nThis is selected with the parameter \\verb|spatial_order|. This may be\nset to either~$2$ or~$4$; it defaults to~$2$. If it's set to~$4$, then\n5-point finite difference molecules are used, so the grid-point indices\n$\\code{i} \\pm 2$, $\\code{j} \\pm 2$, and $\\code{k} \\pm 2$\nmust also be valid, and \\code{driver::ghost\\_size} must be set\nto at least $2$. The only save way to be certain which macros support\n4th~order finite differencing is to check the source code; the macros\nwhich don't support it simply hard-code 2nd~order finite differencing\nand ignore the \\code{spatial\\_order} parameter.\n\nAt present 4th~order finite differencing is only supported for Fortran\ncode. (That is, at present the C~versions of the macros all ignore the\n\\code{spatial\\_order} parameter.)\n\n\n\\section{Using ADM Macros}\n\nEach macro described in Section~\\ref{admmacros:macros} is implemented\nusing three include files:\n\\begin{description}\n\\item[\\texttt{\\_declare.h}]\n sets up the declarations for the internal macro variables.\n All the internal (hidden) variables have names beginning\n with the macro name. This file should be included in the\n declarations section of your routine.\n\n\\item[\\texttt{\\_guts.h}]\n\tis the actual included source code which will calculate the quantities.\n\n\\item[\\texttt{\\_undefine.h}]\n\tresets the macros. This file \\textbf{must} be \\code{\\#include}d\n\tat the end of every loop using macros. Without this, a second loop\n using macros would assume that quantities have already been calculated\n\t(and thus get wrong results).\n\\end{description}\n\nThe macros which compute derivatives also use the following variables;\nyou should avoid using these in your code, in either lower or upper case:\n\\begin{verbatim}\ndi2, dj2, dk2 /* only in C, not in Fortran */\ndt, dx, dy, dz\nidx, idy, idz\ni2dx, i2dy, i2dz\ni12dx, i12dy, i12dz\nidxx, idxy, idxz, idyy, idyz, idzz\ni12dxx, i12dyy, i12dzz\ni36dxy, i36dxz, i36dyz\n\\end{verbatim}\n\nTo use the macros, first find the name of the macro from the table in\nSection~\\ref{admmacros:macros} and put the include files in the\ncorrect place following the instructions above. Note that all ADMMacro\ninclude files are in the directory \\texttt{EinsteinBase/ADMMacros/src/macro/},\nso you include the macros with lines such as\n\\begin{verbatim}\n#include \"EinsteinBase/ADMMacros/src/macro/_.h\"\n\\end{verbatim}\n(Recall that Cactus uses a C-style preprocessor for Fortran as well as\nC/\\Cplusplus{} code; you use the same \\code{\\#include}s for all these\nlanguages.)\n\nEach variable that the macro calculates is listed in the table of\nSection~\\ref{admmacros:macros}. Note that these variable names are\nthemselves macros and are case sensitive. \\textbf{Always use the macro\nvariables on the right hand sides of equations, never redefine them\nyourself, since they may be used in later (hidden) calculations.}\n\n\\subsection{Fortran}\n\nIf you are using the macros inside a Fortran function then the\n\\code{i}, \\code{j} and \\code{k} indices are used directly.\n\nIf you're using (either directly or indirectly) any macro which computes\nderivatives, you also need to \\code{\\#include} two additional files:\n\\begin{description}\n\\item[\\texttt{ADM\\_Spacing\\_declare.h}]\\mbox{}\\\\\n\tThis must be \\code{\\#include}d \\textbf{before} any of the\n\tother \\texttt{\\_declare.h} files.\n\\item[\\texttt{ADM\\_Spacing.h}]\\mbox{}\\\\\n\tThis must be \\code{\\#include}d \\textbf{after} all of the\n\tother \\texttt{\\_declare.h} and \\textbf{before}\n\tany of the \\texttt{\\_guts.h} files.\n\\end{description}\n\nThe Fortran example below should make this clear(er).\n\n\\subsection{C}\n\nIf you are using the macros inside a C function then you must define\nthe grid-function subscripting index \\code{ijk}, which can be found\nfrom \\code{i}, \\code{j} and \\code{k} using the macro\n\\code{CCTK\\_GFINDEX3D(cctkGH,i,j,k)}. Of course, since \\code{ijk}\ndepends on \\code{i}, \\code{j} and \\code{k}, you have to assign\n\\code{ijk} its value \\textbf{inside} the loop-over-grid-points loops.\n\nYou must also define the grid-function strides \\code{di}, \\code{dj}\nand \\code{dk} to give the grid-function subscripting index offsets of\nthe grid points $(i+1,j,k)$, $(i,j+1,k)$, and $(i,j,k+1)$ (respectively)\nrelative to $(i,j,k)$. That is, you should define \\code{di = 1},\n\\code{dj = cctk\\_lsh[0]}, and \\code{dk = cctk\\_lsh[0]*cctk\\_lsh[1]}.\nSince these don't depend on \\code{i}, \\code{j} and \\code{k},\nthey can be assigned values once outside the loop-over-grid-points loops.\n\nThe C example below should make this clear(er).\n\nNote that you should assign all these variables their values \\textbf{before}\n\\code{\\#include}ing the \\texttt{\\_guts.h} macro (it may do\ncalculations which use these values).\n\n\n\\section{Examples}\n\n\\subsection{Fortran}\n\nThis example comes from thorn \\texttt{CactusArchive/Maximal} and uses\nthe $trK$ macro to calculate the trace of the extrinsic curvature.\n\n\\newpage\t% we'd like the entire example to fit on a single page\n\\begin{verbatim}\nc Declarations for macros.\n#include \"EinsteinBase/ADMMacros/src/macro/TRK_declare.h\"\n\nc we're not taking any derivatives here, but if we were,\nc we would also need the following line:\n#include \"EinsteinBase/ADMMacros/src/macro/ADM_Spacing_declare.h\"\n\nc we're not taking any derivatives here, but if we were,\nc we would also need the following line:\n#include \"EinsteinBase/ADMMacros/src/macro/ADM_Spacing.h\"\n\n\n\nc Add the shift term: N = B^i D_i(trK).\n if ((maxshift).and.(shift_state.eq.1)) then\n do k=1,nz\n do j=1,ny\n do i=1,nx\n#include \"EinsteinBase/ADMMacros/src/macro/TRK_guts.h\"\n K_temp(i,j,k) = TRK_TRK\n end do\n end do\n end do\n#include \"EinsteinBase/ADMMacros/src/macro/TRK_undefine.h\"\n\\end{verbatim}\n\n\\subsection{C}\n\nThis function computes the curved-space Laplacian of a scalar field $\\phi$,\n$\\del^i \\del_i \\phi\n\t= g^{ij} \\partial_{ij} \\phi - g^{ij} \\Gamma^k_{ij} \\partial_k \\phi$,\nassuming that the partial derivatives $\\partial_{ij} \\phi$ and $\\partial_k \\phi$\nhave already been computed:\n\n\\newpage\t% we'd like the entire example to fit on a single page\n\\begingroup\n\\footnotesize\n\\begin{verbatim}\n/*\n * This function computes the curved-space Laplacian of a scalar field,\n * $\\del^i \\del_i \\phi\n * = g^{ij} \\partial_{ij} \\phi - g^{ij} \\Gamma^k_{ij} \\partial_k \\phi$\n * at the interior grid points only; it doesn't do anything at all on the\n * boundaries.\n *\n * This function uses the following Cactus grid functions:\n * input: dx_phi, dy_phi, dz_phi # 1st derivatives of phi\n * dxx_phi, dxy_phi, dxz_phi, # 2nd derivatives of phi\n * dyy_phi, dyz_phi,\n * dzz_phi\n * output: Laplacian_phi\n */\nvoid compute_Laplacian(CCTK_ARGUMENTS)\n{\nDECLARE_CCTK_ARGUMENTS\nint i,j,k;\n\n/* contracted Christoffel symbols $\\Gamma^k = g^{ij} \\Gamma^k_{ij}$ */\nCCTK_REAL Gamma_u_x, Gamma_u_y, Gamma_u_z;\n\n/* grid-function strides for ADMMacros */\nconst int di = 1;\nconst int dj = cctk_ash[0];\nconst int dk = cctk_ash[0]*cctk_ash[1];\n\n/* declare the ADMMacros variables for $g^{ij}$ and $\\Gamma^k_{ij}$ */\n#include \"EinsteinBase/ADMMacros/src/macro/UPPERMET_declare.h\"\n#include \"EinsteinBase/ADMMacros/src/macro/CHR2_declare.h\"\n\n for (k = 1 ; k < cctk_lsh[2]-1 ; ++k)\n {\n for (j = 1 ; j < cctk_lsh[1]-1 ; ++j)\n {\n for (i = 1 ; i < cctk_lsh[0]-1 ; ++i)\n {\n const int ijk = CCTK_GFINDEX3D(cctkGH,i,j,k); /* grid-function subscripting index for ADMMacros */\n /* (must be assigned inside the i,j,k loops) */\n\n /* compute the ADMMacros $g^{ij}$ and $\\Gamma^k_{ij}$ variables at the (i,j,k) grid point */\n #include \"EinsteinBase/ADMMacros/src/macro/UPPERMET_guts.h\"\n #include \"EinsteinBase/ADMMacros/src/macro/CHR2_guts.h\"\n\n /* compute the contracted Christoffel symbols $\\Gamma^k = g^{ij} \\Gamma^k_{ij}$ */\n Gamma_u_x =\n UPPERMET_UXX*CHR2_XXX + 2.0*UPPERMET_UXY*CHR2_XXY + 2.0*UPPERMET_UXZ*CHR2_XXZ\n + UPPERMET_UYY*CHR2_XYY + 2.0*UPPERMET_UYZ*CHR2_XYZ\n + UPPERMET_UZZ*CHR2_XZZ;\n Gamma_u_y =\n UPPERMET_UXX*CHR2_YXX + 2.0*UPPERMET_UXY*CHR2_YXY + 2.0*UPPERMET_UXZ*CHR2_YXZ\n + UPPERMET_UYY*CHR2_YYY + 2.0*UPPERMET_UYZ*CHR2_YYZ\n + UPPERMET_UZZ*CHR2_YZZ;\n Gamma_u_z =\n UPPERMET_UXX*CHR2_ZXX + 2.0*UPPERMET_UXY*CHR2_ZXY + 2.0*UPPERMET_UXZ*CHR2_ZXZ\n + UPPERMET_UYY*CHR2_ZYY + 2.0*UPPERMET_UYZ*CHR2_ZYZ\n + UPPERMET_UZZ*CHR2_ZZZ;\n\n /* compute the Laplacian */\n Laplacian_phi[ijk] =\n UPPERMET_UXX*dxx_phi[ijk] + 2.0*UPPERMET_UXY*dxy_phi[ijk] + 2.0*UPPERMET_UXZ*dxz_phi[ijk]\n + UPPERMET_UYY*dyy_phi[ijk] + 2.0*UPPERMET_UYZ*dyz_phi[ijk]\n + UPPERMET_UZZ*dzz_phi[ijk]\n - Gamma_u_x*dx_phi[ijk] - Gamma_u_y*dy_phi[ijk] - Gamma_u_z*dz_phi[ijk];\n }\n }\n }\n\n#include \"EinsteinBase/ADMMacros/src/macro/UPPERMET_undefine.h\"\n#include \"EinsteinBase/ADMMacros/src/macro/CHR2_undefine.h\"\n}\n\\end{verbatim}\n\\endgroup\n\n\n\\section{Macros}\n\\label{admmacros:macros}\nMacros exist for the following quantities\n\n\\begin{tabular}{p{5cm}p{5cm}p{5cm}}\n\\textbf{Calculates} & \\textbf{Macro Name} & \\textbf{Sets variables} \\\\\nAll first spatial derivatives of lapse, $\\alpha_{,i}$: & DA & DA\\_DXDA, DA\\_DYDA, DA\\_DZDA\\\\\nAll second spatial derivatives of lapse, $\\alpha_{,ij}$: & DDA & DDA\\_DXXDA, DDA\\_DXYDA, DDA\\_DXZDA, DDA\\_DYYDA, DDA\\_DYZDA, DDA\\_DZZDA\\\\\nAll second covariant spatial derivatives of lapse, $\\alpha_{;ij}$: & CDCDA &\\\\\nAll first spatial derivatives of shift, $\\beta^{i}_{\\;\\;j}$: & DB &\\\\\nAll first covariant derivatives of the extrinsic curvature, $K_{ij;kl}$ & CDK &\\\\\nFirst covariant derivatives of the extrinsic curvature, $K_{ij;x}$, $K_{ij;y}$, $K_{ij;z}$ & CDXCDK, CDYCDK, CDZCDK &\\\\\nDeterminant of 3-metric: & DETG &\\\\\nUpper 3-metric, $g{ij}$:& UPPERMET &\\\\\nTrace of extrinsic curvature $trK$: & TRK &\\\\\nTrace of stress energy tensor: & TRT &\\\\\nHamiltonian constraint: & HAMADM & \\\\\nPartial derivatives of extrinsic curvature, $K_{ij,x}$, $K_{ij,y}$, $K_{ij,z}$: & DXDK, DYDK, DZDK &\\\\\nFirst partial derivatives of 3-metric, $g_{ij,x}$, $g_{ij,y}$, $g_{ij,z}$: & DXDG, DYDG, DZDG & \\\\\nAll first partial derivatives of 3-metric, $g_{ij,k}$: & DG &\\\\\nFirst covariant derivatives of 3-metric, $g_{ij;x}$, $g_{ij;y}$, $g_{ij;z}$: & DXDCG, DYDCG, DZDCG &\\\\\nSecond partial derivatives of 3-metric, $g_{ij,xx}$, $g_{ij,xy}$, $g_{ij,xz}$: & DXXDG, DXYDG, DXZDG, DYYDG, DYZDG, DZZDG& \\\\\nAll second partial derivative of 3-metric, $g_{ij,lm}$ & DDG &\\\\\nRicci tensor $R_{ij}$: & RICCI &\\\\\nTrace of Ricci tensor $R$: & TRRICCI &\\\\\nChristoffel symbols of first kind: $\\Gamma_{cab}$ & CHR1&\\\\\nChristoffel symbols of second kind $\\Gamma^{c}_{\\;\\;ab}$: & CHR2& \\\\\nMomentum constraints & MOMX, MOMY, MOMZ&\\\\\nSource term in evolution equation for conformal metric, $\\tilde{g}_{ij,t}$: & DCGDT &\\\\\n\n\\end{tabular}\n\n\n\\section{Definitions}\n\n\\begin{equation}\n\\Gamma_{cab} = \\frac{1}{2}\\left(g_{ac,b} + g_{bc,a} - g_{ab,c}\\right)\n\\end{equation}\n\n\\begin{equation}\n\\Gamma^{c}_{\\;\\;ab} = g^{cd}\\Gamma_{dab} = \\frac{1}{2} g^{cd} \\left(g_{ad,b} + g_{bd,a} - g_{ab,d}\\right)\n\\end{equation}\n\n% Do not delete next line\n% END CACTUS THORNGUIDE\n\\end{document}\n" + } +} \ No newline at end of file