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/*@@
@header CHR2_guts.h
@date Jun 98
@author Gabrielle Allen
@desc
Macro to calculate Christoffel symbols of the second kind.
That is CHR2_cab = g^cd CHR1_dab
= 1/2 g^cd (g_ad,b + gbd,a - gab,d)
Requires: Christoffel symbols of first kind
Uppermetric
Provides: Christoffel sybols of second kind
@enddesc
@@*/
#ifndef CHR2_GUTS
#define CHR2_GUTS
#include "CHR1_guts.h"
#include "UPPERMET_guts.h"
#ifdef FCODE
CHR2_XXX = CHR1_XXX*UPPERMET_UXX + CHR1_YXX*UPPERMET_UXY + CHR1_ZXX*UPPERMET_UXZ
CHR2_XXY = CHR1_XXY*UPPERMET_UXX + CHR1_YXY*UPPERMET_UXY + CHR1_ZXY*UPPERMET_UXZ
CHR2_XXZ = CHR1_XXZ*UPPERMET_UXX + CHR1_YXZ*UPPERMET_UXY + CHR1_ZXZ*UPPERMET_UXZ
CHR2_XYY = CHR1_XYY*UPPERMET_UXX + CHR1_YYY*UPPERMET_UXY + CHR1_ZYY*UPPERMET_UXZ
CHR2_XYZ = CHR1_XYZ*UPPERMET_UXX + CHR1_YYZ*UPPERMET_UXY + CHR1_ZYZ*UPPERMET_UXZ
CHR2_XZZ = CHR1_XZZ*UPPERMET_UXX + CHR1_YZZ*UPPERMET_UXY + CHR1_ZZZ*UPPERMET_UXZ
CHR2_YXX = CHR1_XXX*UPPERMET_UXY + CHR1_YXX*UPPERMET_UYY + CHR1_ZXX*UPPERMET_UYZ
CHR2_YXY = CHR1_XXY*UPPERMET_UXY + CHR1_YXY*UPPERMET_UYY + CHR1_ZXY*UPPERMET_UYZ
CHR2_YXZ = CHR1_XXZ*UPPERMET_UXY + CHR1_YXZ*UPPERMET_UYY + CHR1_ZXZ*UPPERMET_UYZ
CHR2_YYY = CHR1_XYY*UPPERMET_UXY + CHR1_YYY*UPPERMET_UYY + CHR1_ZYY*UPPERMET_UYZ
CHR2_YYZ = CHR1_XYZ*UPPERMET_UXY + CHR1_YYZ*UPPERMET_UYY + CHR1_ZYZ*UPPERMET_UYZ
CHR2_YZZ = CHR1_XZZ*UPPERMET_UXY + CHR1_YZZ*UPPERMET_UYY + CHR1_ZZZ*UPPERMET_UYZ
CHR2_ZXX = CHR1_XXX*UPPERMET_UXZ + CHR1_YXX*UPPERMET_UYZ + CHR1_ZXX*UPPERMET_UZZ
CHR2_ZXY = CHR1_XXY*UPPERMET_UXZ + CHR1_YXY*UPPERMET_UYZ + CHR1_ZXY*UPPERMET_UZZ
CHR2_ZXZ = CHR1_XXZ*UPPERMET_UXZ + CHR1_YXZ*UPPERMET_UYZ + CHR1_ZXZ*UPPERMET_UZZ
CHR2_ZYY = CHR1_XYY*UPPERMET_UXZ + CHR1_YYY*UPPERMET_UYZ + CHR1_ZYY*UPPERMET_UZZ
CHR2_ZYZ = CHR1_XYZ*UPPERMET_UXZ + CHR1_YYZ*UPPERMET_UYZ + CHR1_ZYZ*UPPERMET_UZZ
CHR2_ZZZ = CHR1_XZZ*UPPERMET_UXZ + CHR1_YZZ*UPPERMET_UYZ + CHR1_ZZZ*UPPERMET_UZZ
#endif
#ifdef CCODE
CHR2_XXX = CHR1_XXX*UPPERMET_UXX + CHR1_YXX*UPPERMET_UXY + CHR1_ZXX*UPPERMET_UXZ;
CHR2_XXY = CHR1_XXY*UPPERMET_UXX + CHR1_YXY*UPPERMET_UXY + CHR1_ZXY*UPPERMET_UXZ;
CHR2_XXZ = CHR1_XXZ*UPPERMET_UXX + CHR1_YXZ*UPPERMET_UXY + CHR1_ZXZ*UPPERMET_UXZ;
CHR2_XYY = CHR1_XYY*UPPERMET_UXX + CHR1_YYY*UPPERMET_UXY + CHR1_ZYY*UPPERMET_UXZ;
CHR2_XYZ = CHR1_XYZ*UPPERMET_UXX + CHR1_YYZ*UPPERMET_UXY + CHR1_ZYZ*UPPERMET_UXZ;
CHR2_XZZ = CHR1_XZZ*UPPERMET_UXX + CHR1_YZZ*UPPERMET_UXY + CHR1_ZZZ*UPPERMET_UXZ;
CHR2_YXX = CHR1_XXX*UPPERMET_UXY + CHR1_YXX*UPPERMET_UYY + CHR1_ZXX*UPPERMET_UYZ;
CHR2_YXY = CHR1_XXY*UPPERMET_UXY + CHR1_YXY*UPPERMET_UYY + CHR1_ZXY*UPPERMET_UYZ;
CHR2_YXZ = CHR1_XXZ*UPPERMET_UXY + CHR1_YXZ*UPPERMET_UYY + CHR1_ZXZ*UPPERMET_UYZ;
CHR2_YYY = CHR1_XYY*UPPERMET_UXY + CHR1_YYY*UPPERMET_UYY + CHR1_ZYY*UPPERMET_UYZ;
CHR2_YYZ = CHR1_XYZ*UPPERMET_UXY + CHR1_YYZ*UPPERMET_UYY + CHR1_ZYZ*UPPERMET_UYZ;
CHR2_YZZ = CHR1_XZZ*UPPERMET_UXY + CHR1_YZZ*UPPERMET_UYY + CHR1_ZZZ*UPPERMET_UYZ;
CHR2_ZXX = CHR1_XXX*UPPERMET_UXZ + CHR1_YXX*UPPERMET_UYZ + CHR1_ZXX*UPPERMET_UZZ;
CHR2_ZXY = CHR1_XXY*UPPERMET_UXZ + CHR1_YXY*UPPERMET_UYZ + CHR1_ZXY*UPPERMET_UZZ;
CHR2_ZXZ = CHR1_XXZ*UPPERMET_UXZ + CHR1_YXZ*UPPERMET_UYZ + CHR1_ZXZ*UPPERMET_UZZ;
CHR2_ZYY = CHR1_XYY*UPPERMET_UXZ + CHR1_YYY*UPPERMET_UYZ + CHR1_ZYY*UPPERMET_UZZ;
CHR2_ZYZ = CHR1_XYZ*UPPERMET_UXZ + CHR1_YYZ*UPPERMET_UYZ + CHR1_ZYZ*UPPERMET_UZZ;
CHR2_ZZZ = CHR1_XZZ*UPPERMET_UXZ + CHR1_YZZ*UPPERMET_UYZ + CHR1_ZZZ*UPPERMET_UZZ;
#endif
#endif
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