/*
  Generated from python/gga_exc/gga_x_fd_lb94.py via
  python/libxc_codegen.py with Python 3.9.25, SymPy 1.14.0.
  Do not edit -- regenerate via
  scripts/sympy2c/compile.py gga_x_fd_lb94
*/

#ifndef _GGA_X_FD_LB94_KERNEL_BODY
#define maple2c_order 4
#define MAPLE2C_FLAGS (XC_FLAGS_I_HAVE_EXC | XC_FLAGS_I_HAVE_VXC | XC_FLAGS_I_HAVE_FXC | XC_FLAGS_I_HAVE_KXC | XC_FLAGS_I_HAVE_LXC)

/* ---- top-level dispatch ---- */

#define _GGA_X_FD_LB94_KERNEL_BODY
#define _KMAX 0
#define _GGA_X_FD_LB94_HELPER_BODIES
#include "gga_x_fd_lb94.c"
#undef _GGA_X_FD_LB94_HELPER_BODIES
#undef _KMAX
#if XC_MAXORDER >= 1
#define _KMAX 1
#define _GGA_X_FD_LB94_HELPER_BODIES
#include "gga_x_fd_lb94.c"
#undef _GGA_X_FD_LB94_HELPER_BODIES
#undef _KMAX
#endif
#if XC_MAXORDER >= 2
#define _KMAX 2
#define _GGA_X_FD_LB94_HELPER_BODIES
#include "gga_x_fd_lb94.c"
#undef _GGA_X_FD_LB94_HELPER_BODIES
#undef _KMAX
#endif
#if XC_MAXORDER >= 3
#define _KMAX 3
#define _GGA_X_FD_LB94_HELPER_BODIES
#include "gga_x_fd_lb94.c"
#undef _GGA_X_FD_LB94_HELPER_BODIES
#undef _KMAX
#endif
#if XC_MAXORDER >= 4
#define _KMAX 4
#define _GGA_X_FD_LB94_HELPER_BODIES
#include "gga_x_fd_lb94.c"
#undef _GGA_X_FD_LB94_HELPER_BODIES
#undef _KMAX
#endif
#define _KMAX 0
#define _SPIN_UNPOL 1
#define FUNC_NAME func_exc_unpol
#include "gga_x_fd_lb94.c"
#undef _KMAX
#undef _SPIN_UNPOL
#undef FUNC_NAME
#define _KMAX 0
#define _SPIN_UNPOL 0
#define FUNC_NAME func_exc_pol
#include "gga_x_fd_lb94.c"
#undef _KMAX
#undef _SPIN_UNPOL
#undef FUNC_NAME
#if XC_MAXORDER >= 1
#define _KMAX 1
#define _SPIN_UNPOL 1
#define FUNC_NAME func_vxc_unpol
#include "gga_x_fd_lb94.c"
#undef _KMAX
#undef _SPIN_UNPOL
#undef FUNC_NAME
#endif
#if XC_MAXORDER >= 1
#define _KMAX 1
#define _SPIN_UNPOL 0
#define FUNC_NAME func_vxc_pol
#include "gga_x_fd_lb94.c"
#undef _KMAX
#undef _SPIN_UNPOL
#undef FUNC_NAME
#endif
#if XC_MAXORDER >= 2
#define _KMAX 2
#define _SPIN_UNPOL 1
#define FUNC_NAME func_fxc_unpol
#include "gga_x_fd_lb94.c"
#undef _KMAX
#undef _SPIN_UNPOL
#undef FUNC_NAME
#endif
#if XC_MAXORDER >= 2
#define _KMAX 2
#define _SPIN_UNPOL 0
#define FUNC_NAME func_fxc_pol
#include "gga_x_fd_lb94.c"
#undef _KMAX
#undef _SPIN_UNPOL
#undef FUNC_NAME
#endif
#if XC_MAXORDER >= 3
#define _KMAX 3
#define _SPIN_UNPOL 1
#define FUNC_NAME func_kxc_unpol
#include "gga_x_fd_lb94.c"
#undef _KMAX
#undef _SPIN_UNPOL
#undef FUNC_NAME
#endif
#if XC_MAXORDER >= 3
#define _KMAX 3
#define _SPIN_UNPOL 0
#define FUNC_NAME func_kxc_pol
#include "gga_x_fd_lb94.c"
#undef _KMAX
#undef _SPIN_UNPOL
#undef FUNC_NAME
#endif
#if XC_MAXORDER >= 4
#define _KMAX 4
#define _SPIN_UNPOL 1
#define FUNC_NAME func_lxc_unpol
#include "gga_x_fd_lb94.c"
#undef _KMAX
#undef _SPIN_UNPOL
#undef FUNC_NAME
#endif
#if XC_MAXORDER >= 4
#define _KMAX 4
#define _SPIN_UNPOL 0
#define FUNC_NAME func_lxc_pol
#include "gga_x_fd_lb94.c"
#undef _KMAX
#undef _SPIN_UNPOL
#undef FUNC_NAME
#endif
#elif defined(_GGA_X_FD_LB94_HELPER_BODIES)

/* ---- helpers (one graded body -> <name>_k<order>) ---- */

GPU_DEVICE_FUNCTION static inline void XC_CAT(opz_pow_n_4_3_k, _KMAX)(const xc_func_type *p, double z, double *out) {

  const double _t1 = z + 0.1e1;
  const double _t2 = _t1 <= p->zeta_threshold;

  const double f = my_piecewise3(_t2, xc_powr(p->zeta_threshold, 4, 3), xc_powr(_t1, 4, 3));
  out[0] = f;
#if _KMAX >= 1
  const double df_dz = my_piecewise3(_t2, 0, (0.4e1 / 0.3e1)*xc_powr(_t1, 1, 3));
  out[1] = df_dz;
#endif
#if _KMAX >= 2
  const double d2f_dz2 = my_piecewise3(_t2, 0, (0.4e1 / 0.9e1)/xc_powr(_t1, 2, 3));
  out[2] = d2f_dz2;
#endif
#if _KMAX >= 3
  const double d3f_dz3 = my_piecewise3(_t2, 0, -(0.8e1 / 0.27e2)/xc_powr(_t1, 5, 3));
  out[3] = d3f_dz3;
#endif
#if _KMAX >= 4
  const double d4f_dz4 = my_piecewise3(_t2, 0, (0.40e2 / 0.81e2)/xc_powr(_t1, 8, 3));
  out[4] = d4f_dz4;
#endif
}

GPU_DEVICE_FUNCTION static inline void XC_CAT(lda_x_spin_k, _KMAX)(const xc_func_type *p, double rs, double z, double *out) {

  double _hc0[(_KMAX) >= 4 ? 5 : (_KMAX) >= 3 ? 4 : (_KMAX) >= 2 ? 3 : (_KMAX) >= 1 ? 2 : 1];
  XC_CAT(opz_pow_n_4_3_k, _KMAX)(p, z, _hc0);
  const double _t1 = xc_powr(0.6e1, 1, 3)*M_CBRT3/(M_CBRTPI*M_CBRTPI);
  const double _t2 = (0.3e1 / 0.16e2)*_t1;
  const double _t3 = _t2/rs;
#if _KMAX >= 1
  const double _t4 = _t2/(rs * rs);
#endif
#if _KMAX >= 2
  const double _t5 = _hc0[0]*_t1;
  const double _t6 = (0.3e1 / 0.8e1)/(rs * rs * rs);
#endif
#if _KMAX >= 3
  const double _t7 = _t1*_t6;
  const double _t8 = (0.9e1 / 0.8e1)/(rs * rs * rs * rs);
#endif

  const double f = -_hc0[0]*_t3;
  out[0] = f;
#if _KMAX >= 1
  const double df_dz = -_hc0[1]*_t3;
  out[1] = df_dz;
  const double df_drs = _hc0[0]*_t4;
  out[2] = df_drs;
#endif
#if _KMAX >= 2
  const double d2f_dz2 = -_hc0[2]*_t3;
  out[3] = d2f_dz2;
  const double d2f_drs_dz = _hc0[1]*_t4;
  out[4] = d2f_drs_dz;
  const double d2f_drs2 = -_t5*_t6;
  out[5] = d2f_drs2;
#endif
#if _KMAX >= 3
  const double d3f_dz3 = -_hc0[3]*_t3;
  out[6] = d3f_dz3;
  const double d3f_drs_dz2 = _hc0[2]*_t4;
  out[7] = d3f_drs_dz2;
  const double d3f_drs2_dz = -_hc0[1]*_t7;
  out[8] = d3f_drs2_dz;
  const double d3f_drs3 = _t5*_t8;
  out[9] = d3f_drs3;
#endif
#if _KMAX >= 4
  const double d4f_dz4 = -_hc0[4]*_t3;
  out[10] = d4f_dz4;
  const double d4f_drs_dz3 = _hc0[3]*_t4;
  out[11] = d4f_drs_dz3;
  const double d4f_drs2_dz2 = -_hc0[2]*_t7;
  out[12] = d4f_drs2_dz2;
  const double d4f_drs3_dz = _hc0[1]*_t1*_t8;
  out[13] = d4f_drs3_dz;
  const double d4f_drs4 = -0.9e1 / 0.2e1*_t5/xc_powi(rs, 5);
  out[14] = d4f_drs4;
#endif
}

GPU_DEVICE_FUNCTION static inline void XC_CAT(fd_f_inter_k, _KMAX)(const xc_func_type *p, double n, double t, double *out) {
  const gga_x_fd_lb94_params *params = (const gga_x_fd_lb94_params *)(p->params);

  const double _t1 = M_CBRT2;
  const double _t2 = _t1*t;
  const double _t3 = xc_asinh(_t2);
  const double _t4 = 0.3e1*_t2*_t3*params->beta + 0.1e1;
  const double _t5 = (0.1e1 / _t4);
  const double _t6 = log(t);
  const double _t7 = pow(_t6, n);
  const double _t8 = _t1*params->beta;
  const double _t9 = _t7*_t8;
  const double _t10 = (0.3e1 / 0.4e1)*_t9;
  const double _t11 = _t10*_t5;
#if _KMAX >= 1
  const double _t12 = (0.1e1 / t);
  const double _t13 = (0.1e1 / _t6);
  const double _t14 = _t11*_t12*_t13;
  const double _t15 = _t3*_t8;
  const double _t16 = xc_powr(0.2e1, 2, 3);
  const double _t17 = (t * t);
  const double _t18 = _t16*_t17 + 0.1e1;
  const double _t19 = _t16*params->beta;
  const double _t20 = _t19/xc_powr(_t18, 1, 2);
  const double _t21 = _t20*t;
  const double _t22 = -0.3e1*_t15 - 0.3e1*_t21;
  const double _t23 = (0.1e1 / (_t4 * _t4));
  const double _t24 = _t10*_t23;
  const double _t25 = _t22*_t24;
  const double _t26 = log(_t6);
  const double _t27 = _t11*_t26;
#endif
#if _KMAX >= 2
  const double _t28 = (0.1e1 / _t17);
  const double _t29 = (0.1e1 / (_t6 * _t6));
  const double _t30 = (n * n);
  const double _t31 = _t28*_t29;
  const double _t32 = 0.6e1*_t20;
  const double _t33 = xc_powr(_t18, -3, 2);
  const double _t34 = _t33*_t8;
  const double _t35 = _t17*_t34;
  const double _t36 = -_t32 + 0.6e1*_t35;
  const double _t37 = _t24*_t36;
  const double _t38 = (0.3e1 / 0.2e1)*_t9;
  const double _t39 = _t22*_t38;
  const double _t40 = _t12*_t13;
  const double _t41 = _t23*_t40;
  const double _t42 = _t39*_t41;
  const double _t43 = _t42*n;
  const double _t44 = (0.1e1 / (_t4 * _t4 * _t4));
  const double _t45 = -0.6e1*_t15 - _t32*t;
  const double _t46 = _t44*_t45;
  const double _t47 = _t10*_t22;
  const double _t48 = _t46*_t47;
  const double _t49 = (_t26 * _t26);
  const double _t50 = _t11*_t49;
#endif
#if _KMAX >= 3
  const double _t51 = (0.1e1 / (_t6 * _t6 * _t6));
  const double _t52 = (t * t * t);
  const double _t53 = (0.1e1 / _t52);
  const double _t54 = _t5*_t53;
  const double _t55 = _t38*_t54;
  const double _t56 = _t51*_t55;
  const double _t57 = _t56*n;
  const double _t58 = (0.9e1 / 0.4e1)*_t9;
  const double _t59 = _t54*_t58;
  const double _t60 = _t29*_t59;
  const double _t61 = _t60*n;
  const double _t62 = _t13*_t55;
  const double _t63 = _t62*n;
  const double _t64 = _t30*_t51;
  const double _t65 = _t59*_t64;
  const double _t66 = (n * n * n);
  const double _t67 = _t51*_t53*_t66;
  const double _t68 = params->beta/xc_powr(_t18, 5, 2);
  const double _t69 = _t52*_t68;
  const double _t70 = 0.24e2*_t1*_t33*params->beta*t - 0.36e2*_t69;
  const double _t71 = _t24*_t70;
  const double _t72 = _t22*_t23;
  const double _t73 = _t30*_t31*_t58*_t72;
  const double _t74 = _t36*_t58;
  const double _t75 = _t41*_t74;
  const double _t76 = _t75*n;
  const double _t77 = _t46*_t9;
  const double _t78 = _t36*_t77;
  const double _t79 = (0.3e1 / 0.2e1)*_t78;
  const double _t80 = 0.12e2*_t20;
  const double _t81 = 0.12e2*_t35 - _t80;
  const double _t82 = _t44*_t81;
  const double _t83 = _t47*_t82;
  const double _t84 = (0.9e1 / 0.4e1)*_t77;
  const double _t85 = _t22*_t40;
  const double _t86 = _t84*_t85;
  const double _t87 = _t86*n;
  const double _t88 = (0.1e1 / (_t4 * _t4 * _t4 * _t4));
  const double _t89 = -0.9e1*_t15 - 0.9e1*_t21;
  const double _t90 = _t88*_t89;
  const double _t91 = _t45*_t90;
  const double _t92 = _t47*_t91;
  const double _t93 = _t38*_t5;
  const double _t94 = _t31*_t93;
  const double _t95 = _t30*_t31;
  const double _t96 = (_t26 * _t26 * _t26);
  const double _t97 = _t11*_t96;
#endif
#if _KMAX >= 4
  const double _t98 = (t * t * t * t);
  const double _t99 = (0.1e1 / _t98);
  const double _t100 = (0.1e1 / (_t6 * _t6 * _t6 * _t6));
  const double _t101 = _t5*_t9*_t99;
  const double _t102 = (0.33e2 / 0.4e1)*_t30;
  const double _t103 = _t9*n;
  const double _t104 = _t53*_t72;
  const double _t105 = 0.6e1*_t104;
  const double _t106 = 0.3e1*_t9;
  const double _t107 = 0.3e1*_t103;
  const double _t108 = (0.9e1 / 0.2e1)*_t95;
  const double _t109 = _t40*n;
  const double _t110 = _t107*_t85;
  const double _t111 = _t45*_t47;
#endif

  const double f = -_t11;
  out[0] = f;
#if _KMAX >= 1
  const double df_dt = -_t14*n - _t25;
  out[1] = df_dt;
  const double df_dn = -_t27;
  out[2] = df_dn;
#endif
#if _KMAX >= 2
  const double d2f_dt2 = (0.3e1 / 0.4e1)*_t1*_t13*_t28*_t5*_t7*n*params->beta + (0.3e1 / 0.4e1)*_t1*_t28*_t29*_t5*_t7*n*params->beta - _t11*_t30*_t31 - _t37 - _t43 - _t48;
  out[3] = d2f_dt2;
  const double d2f_dn_dt = -_t14 - _t25*_t26 - _t27*_t40*n;
  out[4] = d2f_dn_dt;
  const double d2f_dn2 = -_t50;
  out[5] = d2f_dn2;
#endif
#if _KMAX >= 3
  const double d3f_dt3 = (0.9e1 / 0.4e1)*_t1*_t13*_t22*_t23*_t28*_t7*n*params->beta + (0.9e1 / 0.4e1)*_t1*_t22*_t23*_t28*_t29*_t7*n*params->beta + (0.9e1 / 0.4e1)*_t1*_t29*_t30*_t5*_t53*_t7*params->beta - _t11*_t67 - _t57 - _t61 - _t63 + _t65 - _t71 - _t73 - _t76 - _t79 - _t83 - _t87 - _t92;
  out[6] = d3f_dt3;
  const double d3f_dn_dt2 = (0.3e1 / 0.4e1)*_t1*_t13*_t26*_t28*_t5*_t7*n*params->beta + (0.3e1 / 0.4e1)*_t1*_t13*_t28*_t5*_t7*params->beta + (0.3e1 / 0.4e1)*_t1*_t26*_t28*_t29*_t5*_t7*n*params->beta + (0.3e1 / 0.4e1)*_t1*_t28*_t29*_t5*_t7*params->beta - _t26*_t37 - _t26*_t43 - _t26*_t48 - _t27*_t95 - _t42 - _t94*n;
  out[7] = d3f_dn_dt2;
  const double d3f_dn2_dt = -_t25*_t49 - _t26*_t40*_t93 - _t40*_t50*n;
  out[8] = d3f_dn2_dt;
  const double d3f_dn3 = -_t97;
  out[9] = d3f_dn3;
#endif
#if _KMAX >= 4
  const double d4f_dt4 = (0.9e1 / 0.2e1)*_t1*_t100*_t5*_t66*_t7*_t99*params->beta + (0.9e1 / 0.2e1)*_t1*_t100*_t5*_t7*_t99*n*params->beta + (0.9e1 / 0.2e1)*_t1*_t13*_t22*_t28*_t44*_t45*_t7*n*params->beta + (0.9e1 / 0.2e1)*_t1*_t13*_t23*_t28*_t36*_t7*n*params->beta + (0.9e1 / 0.2e1)*_t1*_t13*_t5*_t7*_t99*n*params->beta + 0.9e1*_t1*_t22*_t23*_t29*_t30*_t53*_t7*params->beta + 0.9e1*_t1*_t22*_t23*_t30*_t51*_t53*_t7*params->beta + (0.9e1 / 0.2e1)*_t1*_t22*_t28*_t29*_t44*_t45*_t7*n*params->beta + (0.9e1 / 0.2e1)*_t1*_t23*_t28*_t29*_t36*_t7*n*params->beta + (0.33e2 / 0.4e1)*_t1*_t29*_t5*_t7*_t99*n*params->beta + (0.9e1 / 0.2e1)*_t1*_t5*_t51*_t66*_t7*_t99*params->beta + 0.9e1*_t1*_t5*_t51*_t7*_t99*n*params->beta - _t100*_t101*_t102 - _t100*_t11*_t99*(n * n * n * n) - _t101*_t102*_t29 - 0.27e2 / 0.2e1*_t101*_t64 - 0.9e1*_t103*_t104*_t29 - _t103*_t105*_t13 - _t103*_t105*_t51 - _t106*_t67*_t72 - _t107*_t41*_t70 - _t108*_t22*_t77 - _t108*_t23*_t36*_t9 - 0.6e1*_t109*_t78 - _t110*_t82 - _t110*_t91 - _t111*_t88*(-0.18e2*_t20 + 0.18e2*_t35) - _t111*_t89*(-0.12e2*_t15 - _t80*t)/xc_powi(_t4, 5) - _t24*(-0.252e3*_t17*_t68 + 0.24e2*_t34 + 0.180e3*_t19*_t98/xc_powr(_t18, 7, 2)) - _t39*_t81*_t90 - _t44*_t47*(0.48e2*_t1*_t33*params->beta*t - 0.72e2*_t69) - _t70*_t84 - _t74*_t82 - _t74*_t91;
  out[10] = d4f_dt4;
  const double d4f_dn_dt3 = (0.9e1 / 0.4e1)*_t1*_t13*_t22*_t23*_t26*_t28*_t7*n*params->beta + (0.9e1 / 0.4e1)*_t1*_t13*_t22*_t23*_t28*_t7*params->beta + (0.9e1 / 0.4e1)*_t1*_t22*_t23*_t26*_t28*_t29*_t7*n*params->beta + (0.9e1 / 0.4e1)*_t1*_t22*_t23*_t28*_t29*_t7*params->beta + (0.9e1 / 0.4e1)*_t1*_t26*_t29*_t30*_t5*_t53*_t7*params->beta + (0.9e1 / 0.4e1)*_t1*_t26*_t30*_t5*_t51*_t53*_t7*params->beta + (0.9e1 / 0.2e1)*_t1*_t29*_t5*_t53*_t7*n*params->beta + (0.9e1 / 0.2e1)*_t1*_t5*_t51*_t53*_t7*n*params->beta - 0.9e1 / 0.2e1*_t103*_t31*_t72 - _t26*_t57 - _t26*_t61 - _t26*_t63 - _t26*_t71 - _t26*_t73 - _t26*_t76 - _t26*_t79 - _t26*_t83 - _t26*_t87 - _t26*_t92 - _t27*_t67 - _t56 - _t60 - _t62 - _t65 - _t75 - _t86;
  out[11] = d4f_dn_dt3;
  const double d4f_dn2_dt2 = (0.3e1 / 0.2e1)*_t1*_t13*_t26*_t28*_t5*_t7*params->beta + (0.3e1 / 0.4e1)*_t1*_t13*_t28*_t49*_t5*_t7*n*params->beta + (0.3e1 / 0.2e1)*_t1*_t26*_t28*_t29*_t5*_t7*params->beta + (0.3e1 / 0.4e1)*_t1*_t28*_t29*_t49*_t5*_t7*n*params->beta - _t106*_t22*_t26*_t41 - _t107*_t26*_t31*_t5 - _t37*_t49 - _t43*_t49 - _t48*_t49 - _t50*_t95 - _t94;
  out[12] = d4f_dn2_dt2;
  const double d4f_dn3_dt = -_t109*_t97 - _t25*_t96 - _t40*_t49*_t5*_t58;
  out[13] = d4f_dn3_dt;
  const double d4f_dn4 = -_t11*(_t26 * _t26 * _t26 * _t26);
  out[14] = d4f_dn4;
#endif
}

GPU_DEVICE_FUNCTION static inline void XC_CAT(fd_f_k, _KMAX)(const xc_func_type *p, double x, double *out) {
  const gga_x_fd_lb94_params *params = (const gga_x_fd_lb94_params *)(p->params);

  const double _t1 = xc_powr(0.2e1, 2, 3);
  const double _t2 = (0.1e1 / 0.2e1)*_t1;
  const double _t3 = _t2*x;
  const double _t4 = xc_integrate(func0, &(params->beta), 0.0, _t3);
  const double _t5 = log(_t3);
  const double _t6 = M_CBRTPI*_t1/M_CBRT3;
  const double _t7 = (0.2e1 / 0.3e1)*_t6;
  const double _t8 = _t7*(_t4*_t5 - xc_integrate(func1, &(params->beta), 0.0, _t3));
#if _KMAX >= 1
  const double _t9 = (0.1e1 / x);
  const double _t11 = _t7*x;
#endif
#if _KMAX >= 2
  const double _t12 = M_CBRT2;
  const double _t13 = (0.1e1 / (x * x));
#endif
#if _KMAX >= 3
  const double _t16 = (0.1e1 / (x * x * x));
#endif
#if _KMAX >= 1
  double _hc0[(_KMAX) >= 4 ? 15 : (_KMAX) >= 3 ? 10 : (_KMAX) >= 2 ? 6 : (_KMAX) >= 1 ? 3 : 1];
  XC_CAT(fd_f_inter_k, _KMAX)(p, 0.1e1, _t3, _hc0);
  double _hc1[(_KMAX) >= 4 ? 15 : (_KMAX) >= 3 ? 10 : (_KMAX) >= 2 ? 6 : (_KMAX) >= 1 ? 3 : 1];
  XC_CAT(fd_f_inter_k, _KMAX)(p, 0, _t3, _hc1);
  const double _t10 = -_hc0[0]*_t2 + _hc1[0]*_t2*_t5 + _t4*_t9;
#endif
#if _KMAX >= 2
  const double _t14 = -0.1e1 / 0.2e1*_hc0[1]*_t12 + _hc1[0]*_t1*_t9 + (0.1e1 / 0.2e1)*_hc1[1]*_t12*_t5 - _t13*_t4;
#endif
#if _KMAX >= 3
  const double _t15 = _hc1[1]*_t12;
  const double _t17 = -0.1e1 / 0.2e1*_hc0[3] - 0.3e1 / 0.2e1*_hc1[0]*_t1*_t13 + (0.1e1 / 0.2e1)*_hc1[3]*_t5 + (0.3e1 / 0.2e1)*_t15*_t9 + 0.2e1*_t16*_t4;
#endif

  const double f = -_t8*x + 0.1e1;
  out[0] = f;
#if _KMAX >= 1
  const double df_dx = -_t10*_t11 - _t8;
  out[1] = df_dx;
#endif
#if _KMAX >= 2
  const double d2f_dx2 = -0.4e1 / 0.3e1*_t10*_t6 - _t11*_t14;
  out[2] = d2f_dx2;
#endif
#if _KMAX >= 3
  const double d3f_dx3 = -_t11*_t17 - 0.2e1*_t14*_t6;
  out[3] = d3f_dx3;
#endif
#if _KMAX >= 4
  const double d4f_dx4 = -_t11*(-0.1e1 / 0.4e1*_hc0[6]*_t1 + 0.4e1*_hc1[0]*_t1*_t16 + 0.2e1*_hc1[3]*_t9 + (0.1e1 / 0.4e1)*_hc1[6]*_t1*_t5 - 0.3e1*_t13*_t15 - 0.6e1*_t4/(x * x * x * x)) - 0.8e1 / 0.3e1*_t17*_t6;
  out[4] = d4f_dx4;
#endif
}

GPU_DEVICE_FUNCTION static inline void XC_CAT(xchan_k, _KMAX)(const xc_func_type *p, double n_s, double sigma_ss, double *out) {
  const gga_x_fd_lb94_params *params = (const gga_x_fd_lb94_params *)(p->params);

  const double _t1 = xc_powr(n_s, -4, 3);
  const double _t2 = xc_powr(sigma_ss, 1, 2);
  const double _t3 = xc_powr(0.6e1, 1, 3);
  const double _t4 = (0.1e1 / (M_CBRTPI));
  const double _t5 = _t3*_t4;
  const double _t6 = -p->dens_threshold + n_s <= 0;
#if _KMAX >= 1
  const double _t8 = (0.1e1 / _t2);
  const double _t12 = xc_powr(n_s, -7, 3);
#endif
#if _KMAX >= 2
  const double _t17 = xc_powr(sigma_ss, 3, 2);
  const double _t18 = (0.1e1 / _t17);
  const double _t19 = xc_powr(n_s, -8, 3);
  const double _t20 = (0.1e1 / sigma_ss);
  const double _t22 = xc_powr(n_s, -11, 3);
  const double _t28 = xc_powr(n_s, -14, 3);
  const double _t30 = xc_powr(n_s, -10, 3);
#endif
#if _KMAX >= 3
  const double _t37 = xc_powr(sigma_ss, -5, 2);
  const double _t38 = (0.3e1 / 0.8e1)*_t37;
  const double _t39 = (sigma_ss * sigma_ss);
  const double _t40 = (0.1e1 / _t39);
  const double _t42 = (0.1e1 / (n_s * n_s * n_s * n_s));
  const double _t43 = _t18*_t42;
  const double _t45 = xc_powi(n_s, -5);
  const double _t50 = xc_powi(n_s, -6);
  const double _t51 = (0.8e1 / 0.9e1)*_t50;
  const double _t53 = (0.1e1 / 0.72e2)*_t8;
  const double _t56 = xc_powr(n_s, -17, 3);
  const double _t59 = xc_powr(n_s, -13, 3);
  const double _t61 = xc_powi(n_s, -7);
  const double _t67 = (0.1e1 / 0.9e1)*_t45;
#endif
#if _KMAX >= 4
  const double _t69 = xc_powr(n_s, -16, 3);
  const double _t70 = xc_powr(n_s, -19, 3);
  const double _t72 = (0.1e1 / 0.6e1)*_t20;
  const double _t74 = xc_powr(n_s, -22, 3);
  const double _t75 = (0.4e1 / 0.9e1)*_t74;
  const double _t76 = (0.19e2 / 0.9e1)*_t50;
  const double _t78 = xc_powr(n_s, -25, 3);
#endif
  double _hc0[(_KMAX) >= 4 ? 5 : (_KMAX) >= 3 ? 4 : (_KMAX) >= 2 ? 3 : (_KMAX) >= 1 ? 2 : 1] = {0.};
  if(!(_t6)) XC_CAT(fd_f_k, _KMAX)(p, _t1*_t2, _hc0);
  double _hc1[(_KMAX) >= 4 ? 15 : (_KMAX) >= 3 ? 10 : (_KMAX) >= 2 ? 6 : (_KMAX) >= 1 ? 3 : 1] = {0.};
  if(!(_t6)) XC_CAT(lda_x_spin_k, _KMAX)(p, (0.1e1 / 0.2e1)*_t5/xc_powr(n_s, 1, 3), 0.1e1 - p->zeta_threshold, _hc1);
  const double _t7 = my_piecewise3(_t6, 0, _hc0[0]*_hc1[0]);
#if _KMAX >= 1
  const double _t9 = _hc0[1]*_hc1[0];
  const double _t10 = _t1*_t9;
  const double _t11 = my_piecewise3(_t6, 0, (0.1e1 / 0.2e1)*_t10*_t8);
  const double _t13 = _t12*_t9;
  const double _t14 = _hc1[2]*_t5;
  const double _t15 = _hc0[0]*_t14;
  const double _t16 = my_piecewise3(_t6, 0, -0.1e1 / 0.6e1*_t1*_t15 - 0.4e1 / 0.3e1*_t13*_t2);
#endif
#if _KMAX >= 2
  const double _t21 = my_piecewise3(_t6, 0, (0.1e1 / 0.4e1)*_hc0[2]*_hc1[0]*_t19*_t20 - 0.1e1 / 0.4e1*_t10*_t18);
  const double _t23 = _hc0[2]*_hc1[0];
  const double _t24 = _t22*_t23;
  const double _t25 = _hc0[1]*_t14;
  const double _t26 = _t19*_t25;
  const double _t27 = my_piecewise3(_t6, 0, -0.2e1 / 0.3e1*_t13*_t8 - 0.2e1 / 0.3e1*_t24 - 0.1e1 / 0.12e2*_t26*_t8);
  const double _t29 = _t23*_t28;
  const double _t31 = _t30*_t9;
  const double _t32 = (0.2e1 / 0.9e1)*_hc0[0];
  const double _t33 = (0.1e1 / 0.36e2)*_hc0[0];
  const double _t34 = xc_powr(0.6e1, 2, 3)*_hc1[5]/(M_CBRTPI * M_CBRTPI);
  const double _t35 = _t22*_t25;
  const double _t36 = my_piecewise3(_t6, 0, _t12*_t14*_t32 + _t19*_t33*_t34 + (0.28e2 / 0.9e1)*_t2*_t31 + (0.4e1 / 0.9e1)*_t2*_t35 + (0.16e2 / 0.9e1)*_t29*sigma_ss);
#endif
#if _KMAX >= 3
  const double _t41 = _hc0[3]*_hc1[0];
  const double _t44 = my_piecewise3(_t6, 0, _t10*_t38 - 0.3e1 / 0.8e1*_t19*_t23*_t40 + (0.1e1 / 0.8e1)*_t41*_t43);
  const double _t46 = _t41*_t8;
  const double _t47 = _hc0[2]*_t14;
  const double _t48 = my_piecewise3(_t6, 0, (0.1e1 / 0.3e1)*_hc0[1]*_hc1[0]*_t12*_t18 + (0.1e1 / 0.24e2)*_hc0[1]*_hc1[2]*_t18*_t19*_t3*_t4 - 0.1e1 / 0.3e1*_t20*_t24 - 0.1e1 / 0.24e2*_t20*_t42*_t47 - 0.1e1 / 0.3e1*_t45*_t46);
  const double _t49 = _t2*_t41;
  const double _t52 = _t45*_t47;
  const double _t54 = _hc0[1]*_t34;
  const double _t55 = my_piecewise3(_t6, 0, (0.10e2 / 0.3e1)*_t29 + (0.14e2 / 0.9e1)*_t31*_t8 + (0.1e1 / 0.3e1)*_t35*_t8 + _t42*_t53*_t54 + _t49*_t51 + (0.2e1 / 0.9e1)*_t52);
  const double _t57 = _t23*_t56;
  const double _t58 = _hc1[9]/M_PI;
  const double _t60 = _t59*_t9;
  const double _t62 = _t17*_t41;
  const double _t63 = _hc0[0]*_t34;
  const double _t64 = _t47*sigma_ss;
  const double _t65 = _t25*_t28;
  const double _t66 = _t2*_t54;
  const double _t68 = my_piecewise3(_t6, 0, -0.14e2 / 0.27e2*_t15*_t30 - 0.280e3 / 0.27e2*_t2*_t60 - 0.22e2 / 0.9e1*_t2*_t65 - 0.1e1 / 0.9e1*_t22*_t63 - _t33*_t42*_t58 - _t51*_t64 - 0.112e3 / 0.9e1*_t57*sigma_ss - 0.64e2 / 0.27e2*_t61*_t62 - _t66*_t67);
#endif
#if _KMAX >= 4
  const double _t71 = _hc0[4]*_hc1[0];
  const double _t73 = _hc0[3]*_t14;
  const double _t77 = _hc0[2]*_t34;
  const double _t79 = _hc0[1]*_t58;
#endif

  const double f = my_piecewise3(_t6, 0, _t7*n_s);
  out[0] = f;
#if _KMAX >= 1
  const double df_dsigma_ss = my_piecewise3(_t6, 0, _t11*n_s);
  out[1] = df_dsigma_ss;
  const double df_dn_s = my_piecewise3(_t6, 0, _t16*n_s + _t7);
  out[2] = df_dn_s;
#endif
#if _KMAX >= 2
  const double d2f_dsigma_ss2 = my_piecewise3(_t6, 0, _t21*n_s);
  out[3] = d2f_dsigma_ss2;
  const double d2f_dn_s_dsigma_ss = my_piecewise3(_t6, 0, _t11 + _t27*n_s);
  out[4] = d2f_dn_s_dsigma_ss;
  const double d2f_dn_s2 = my_piecewise3(_t6, 0, 0.2e1*_t16 + _t36*n_s);
  out[5] = d2f_dn_s2;
#endif
#if _KMAX >= 3
  const double d3f_dsigma_ss3 = my_piecewise3(_t6, 0, _t44*n_s);
  out[6] = d3f_dsigma_ss3;
  const double d3f_dn_s_dsigma_ss2 = my_piecewise3(_t6, 0, _t21 + _t48*n_s);
  out[7] = d3f_dn_s_dsigma_ss2;
  const double d3f_dn_s2_dsigma_ss = my_piecewise3(_t6, 0, 0.2e1*_t27 + _t55*n_s);
  out[8] = d3f_dn_s2_dsigma_ss;
  const double d3f_dn_s3 = my_piecewise3(_t6, 0, 0.3e1*_t36 + _t68*n_s);
  out[9] = d3f_dn_s3;
#endif
#if _KMAX >= 4
  const double d4f_dsigma_ss4 = my_piecewise3(_t6, 0, n_s*my_piecewise3(_t6, 0, (0.15e2 / 0.16e2)*_hc0[2]*_hc1[0]*_t19/(sigma_ss * sigma_ss * sigma_ss) + (0.1e1 / 0.16e2)*_hc0[4]*_hc1[0]*_t40*_t69 - 0.15e2 / 0.16e2*_t10/xc_powr(sigma_ss, 7, 2) - _t38*_t41*_t42));
  out[10] = d4f_dsigma_ss4;
  const double d4f_dn_s_dsigma_ss3 = my_piecewise3(_t6, 0, _t44 + n_s*my_piecewise3(_t6, 0, (0.1e1 / 0.2e1)*_hc0[2]*_hc1[0]*_t22*_t40 + (0.1e1 / 0.16e2)*_hc0[2]*_hc1[2]*_t3*_t4*_t40*_t42 - 0.1e1 / 0.2e1*_t13*_t37 - 0.1e1 / 0.48e2*_t18*_t69*_t73 - 0.1e1 / 0.16e2*_t26*_t37 - _t70*_t71*_t72));
  out[11] = d4f_dn_s_dsigma_ss3;
  const double d4f_dn_s2_dsigma_ss2 = my_piecewise3(_t6, 0, 0.2e1*_t48 + n_s*my_piecewise3(_t6, 0, -0.7e1 / 0.9e1*_t18*_t31 - 0.1e1 / 0.6e1*_t18*_t35 + (0.7e1 / 0.9e1)*_t20*_t29 + (0.1e1 / 0.144e3)*_t20*_t69*_t77 - 0.1e1 / 0.144e3*_t43*_t54 + _t46*_t76 + _t52*_t72 + (0.1e1 / 0.9e1)*_t70*_t73*_t8 + _t71*_t75));
  out[12] = d4f_dn_s2_dsigma_ss2;
  const double d4f_dn_s3_dsigma_ss = my_piecewise3(_t6, 0, 0.3e1*_t55 + n_s*my_piecewise3(_t6, 0, -_t2*_t73*_t75 - _t47*_t76 - 0.88e2 / 0.9e1*_t49*_t61 - _t53*_t69*_t79 - _t54*_t67*_t8 - 0.476e3 / 0.27e2*_t57 - 0.140e3 / 0.27e2*_t60*_t8 - 0.40e2 / 0.27e2*_t65*_t8 - 0.1e1 / 0.18e2*_t70*_t77 - 0.32e2 / 0.27e2*_t71*_t78*sigma_ss));
  out[13] = d4f_dn_s3_dsigma_ss;
  const double d4f_dn_s4 = my_piecewise3(_t6, 0, 0.4e1*_t68 + n_s*my_piecewise3(_t6, 0, (0.1e1 / 0.216e3)*_hc0[0]*_hc1[14]*_t3*_t69/(M_PI * M_CBRTPI) + (0.140e3 / 0.81e2)*_t15*_t59 + (0.128e3 / 0.81e2)*_t17*_t73*_t78 + (0.1120e4 / 0.81e2)*_t2*_t25*_t56 + (0.3640e4 / 0.81e2)*_t2*_t69*_t9 + (0.4e1 / 0.27e2)*_t2*_t70*_t79 + (0.6832e4 / 0.81e2)*_t23*sigma_ss/xc_powr(n_s, 20, 3) + (0.40e2 / 0.81e2)*_t28*_t63 + _t32*_t45*_t58 + (0.256e3 / 0.81e2)*_t39*_t71/xc_powr(n_s, 28, 3) + (0.10e2 / 0.9e1)*_t50*_t66 + (0.32e2 / 0.3e1)*_t61*_t64 + (0.896e3 / 0.27e2)*_t62/xc_powi(n_s, 8) + (0.8e1 / 0.27e2)*_t74*_t77*sigma_ss));
  out[14] = d4f_dn_s4;
#endif
}

#else  /* re-inclusion: one graded body -> func_<order>_<spin> */
GPU_DEVICE_FUNCTION static inline void
FUNC_NAME(const xc_func_type *p, size_t ip, const double *rho, const double *sigma, xc_gga_out_params *out)
{
  assert(p->params != NULL);
  const gga_x_fd_lb94_params *params = (const gga_x_fd_lb94_params *)(p->params);
  (void)params;
#if _SPIN_UNPOL
  const double na = rho[0];
  const double gaa = sigma[0];

  double _hc0[(_KMAX) >= 4 ? 15 : (_KMAX) >= 3 ? 10 : (_KMAX) >= 2 ? 6 : (_KMAX) >= 1 ? 3 : 1];
  XC_CAT(xchan_k, _KMAX)(p, (0.1e1 / 0.2e1)*na, (0.1e1 / 0.4e1)*gaa, _hc0);
  const double zk = 0.2e1*_hc0[0]/na;
  if(out->zk != NULL) out->zk[ip*p->dim.zk + 0] += zk;
#if _KMAX >= 1
  const double dF_dna = _hc0[2];
  const double dF_dgaa = (0.1e1 / 0.2e1)*_hc0[1];
  if(out->vrho != NULL) out->vrho[ip*p->dim.vrho + 0] += dF_dna;
  if(out->vsigma != NULL) out->vsigma[ip*p->dim.vsigma + 0] += dF_dgaa;
#endif
#if _KMAX >= 2
  const double d2F_dna2 = (0.1e1 / 0.2e1)*_hc0[5];
  const double d2F_dna_dgaa = (0.1e1 / 0.4e1)*_hc0[4];
  const double d2F_dgaa2 = (0.1e1 / 0.8e1)*_hc0[3];
  if(out->v2rho2 != NULL) out->v2rho2[ip*p->dim.v2rho2 + 0] += d2F_dna2;
  if(out->v2rhosigma != NULL) out->v2rhosigma[ip*p->dim.v2rhosigma + 0] += d2F_dna_dgaa;
  if(out->v2sigma2 != NULL) out->v2sigma2[ip*p->dim.v2sigma2 + 0] += d2F_dgaa2;
#endif
#if _KMAX >= 3
  const double d3F_dna3 = (0.1e1 / 0.4e1)*_hc0[9];
  const double d3F_dna2_dgaa = (0.1e1 / 0.8e1)*_hc0[8];
  const double d3F_dna_dgaa2 = (0.1e1 / 0.16e2)*_hc0[7];
  const double d3F_dgaa3 = (0.1e1 / 0.32e2)*_hc0[6];
  if(out->v3rho3 != NULL) out->v3rho3[ip*p->dim.v3rho3 + 0] += d3F_dna3;
  if(out->v3rho2sigma != NULL) out->v3rho2sigma[ip*p->dim.v3rho2sigma + 0] += d3F_dna2_dgaa;
  if(out->v3rhosigma2 != NULL) out->v3rhosigma2[ip*p->dim.v3rhosigma2 + 0] += d3F_dna_dgaa2;
  if(out->v3sigma3 != NULL) out->v3sigma3[ip*p->dim.v3sigma3 + 0] += d3F_dgaa3;
#endif
#if _KMAX >= 4
  const double d4F_dna4 = (0.1e1 / 0.8e1)*_hc0[14];
  const double d4F_dna3_dgaa = (0.1e1 / 0.16e2)*_hc0[13];
  const double d4F_dna2_dgaa2 = (0.1e1 / 0.32e2)*_hc0[12];
  const double d4F_dna_dgaa3 = (0.1e1 / 0.64e2)*_hc0[11];
  const double d4F_dgaa4 = (0.1e1 / 0.128e3)*_hc0[10];
  if(out->v4rho4 != NULL) out->v4rho4[ip*p->dim.v4rho4 + 0] += d4F_dna4;
  if(out->v4rho3sigma != NULL) out->v4rho3sigma[ip*p->dim.v4rho3sigma + 0] += d4F_dna3_dgaa;
  if(out->v4rho2sigma2 != NULL) out->v4rho2sigma2[ip*p->dim.v4rho2sigma2 + 0] += d4F_dna2_dgaa2;
  if(out->v4rhosigma3 != NULL) out->v4rhosigma3[ip*p->dim.v4rhosigma3 + 0] += d4F_dna_dgaa3;
  if(out->v4sigma4 != NULL) out->v4sigma4[ip*p->dim.v4sigma4 + 0] += d4F_dgaa4;
#endif
#else
  const double na = rho[0];
  const double nb = rho[1];
  const double gaa = sigma[0];
  const double gbb = sigma[2];

  double _hc0[(_KMAX) >= 4 ? 15 : (_KMAX) >= 3 ? 10 : (_KMAX) >= 2 ? 6 : (_KMAX) >= 1 ? 3 : 1];
  XC_CAT(xchan_k, _KMAX)(p, na, gaa, _hc0);
  double _hc1[(_KMAX) >= 4 ? 15 : (_KMAX) >= 3 ? 10 : (_KMAX) >= 2 ? 6 : (_KMAX) >= 1 ? 3 : 1];
  XC_CAT(xchan_k, _KMAX)(p, nb, gbb, _hc1);
  const double zk = (_hc0[0] + _hc1[0])/(na + nb);
  if(out->zk != NULL) out->zk[ip*p->dim.zk + 0] += zk;
#if _KMAX >= 1
  const double dF_dna = _hc0[2];
  const double dF_dnb = _hc1[2];
  const double dF_dgaa = _hc0[1];
  const double dF_dgbb = _hc1[1];
  if(out->vrho != NULL) out->vrho[ip*p->dim.vrho + 0] += dF_dna;
  if(out->vrho != NULL) out->vrho[ip*p->dim.vrho + 1] += dF_dnb;
  if(out->vsigma != NULL) out->vsigma[ip*p->dim.vsigma + 0] += dF_dgaa;
  if(out->vsigma != NULL) out->vsigma[ip*p->dim.vsigma + 2] += dF_dgbb;
#endif
#if _KMAX >= 2
  const double d2F_dna2 = _hc0[5];
  const double d2F_dnb2 = _hc1[5];
  const double d2F_dna_dgaa = _hc0[4];
  const double d2F_dnb_dgbb = _hc1[4];
  const double d2F_dgaa2 = _hc0[3];
  const double d2F_dgbb2 = _hc1[3];
  if(out->v2rho2 != NULL) out->v2rho2[ip*p->dim.v2rho2 + 0] += d2F_dna2;
  if(out->v2rho2 != NULL) out->v2rho2[ip*p->dim.v2rho2 + 2] += d2F_dnb2;
  if(out->v2rhosigma != NULL) out->v2rhosigma[ip*p->dim.v2rhosigma + 0] += d2F_dna_dgaa;
  if(out->v2rhosigma != NULL) out->v2rhosigma[ip*p->dim.v2rhosigma + 5] += d2F_dnb_dgbb;
  if(out->v2sigma2 != NULL) out->v2sigma2[ip*p->dim.v2sigma2 + 0] += d2F_dgaa2;
  if(out->v2sigma2 != NULL) out->v2sigma2[ip*p->dim.v2sigma2 + 5] += d2F_dgbb2;
#endif
#if _KMAX >= 3
  const double d3F_dna3 = _hc0[9];
  const double d3F_dnb3 = _hc1[9];
  const double d3F_dna2_dgaa = _hc0[8];
  const double d3F_dnb2_dgbb = _hc1[8];
  const double d3F_dna_dgaa2 = _hc0[7];
  const double d3F_dnb_dgbb2 = _hc1[7];
  const double d3F_dgaa3 = _hc0[6];
  const double d3F_dgbb3 = _hc1[6];
  if(out->v3rho3 != NULL) out->v3rho3[ip*p->dim.v3rho3 + 0] += d3F_dna3;
  if(out->v3rho3 != NULL) out->v3rho3[ip*p->dim.v3rho3 + 3] += d3F_dnb3;
  if(out->v3rho2sigma != NULL) out->v3rho2sigma[ip*p->dim.v3rho2sigma + 0] += d3F_dna2_dgaa;
  if(out->v3rho2sigma != NULL) out->v3rho2sigma[ip*p->dim.v3rho2sigma + 8] += d3F_dnb2_dgbb;
  if(out->v3rhosigma2 != NULL) out->v3rhosigma2[ip*p->dim.v3rhosigma2 + 0] += d3F_dna_dgaa2;
  if(out->v3rhosigma2 != NULL) out->v3rhosigma2[ip*p->dim.v3rhosigma2 + 11] += d3F_dnb_dgbb2;
  if(out->v3sigma3 != NULL) out->v3sigma3[ip*p->dim.v3sigma3 + 0] += d3F_dgaa3;
  if(out->v3sigma3 != NULL) out->v3sigma3[ip*p->dim.v3sigma3 + 9] += d3F_dgbb3;
#endif
#if _KMAX >= 4
  const double d4F_dna4 = _hc0[14];
  const double d4F_dnb4 = _hc1[14];
  const double d4F_dna3_dgaa = _hc0[13];
  const double d4F_dnb3_dgbb = _hc1[13];
  const double d4F_dna2_dgaa2 = _hc0[12];
  const double d4F_dnb2_dgbb2 = _hc1[12];
  const double d4F_dna_dgaa3 = _hc0[11];
  const double d4F_dnb_dgbb3 = _hc1[11];
  const double d4F_dgaa4 = _hc0[10];
  const double d4F_dgbb4 = _hc1[10];
  if(out->v4rho4 != NULL) out->v4rho4[ip*p->dim.v4rho4 + 0] += d4F_dna4;
  if(out->v4rho4 != NULL) out->v4rho4[ip*p->dim.v4rho4 + 4] += d4F_dnb4;
  if(out->v4rho3sigma != NULL) out->v4rho3sigma[ip*p->dim.v4rho3sigma + 0] += d4F_dna3_dgaa;
  if(out->v4rho3sigma != NULL) out->v4rho3sigma[ip*p->dim.v4rho3sigma + 11] += d4F_dnb3_dgbb;
  if(out->v4rho2sigma2 != NULL) out->v4rho2sigma2[ip*p->dim.v4rho2sigma2 + 0] += d4F_dna2_dgaa2;
  if(out->v4rho2sigma2 != NULL) out->v4rho2sigma2[ip*p->dim.v4rho2sigma2 + 17] += d4F_dnb2_dgbb2;
  if(out->v4rhosigma3 != NULL) out->v4rhosigma3[ip*p->dim.v4rhosigma3 + 0] += d4F_dna_dgaa3;
  if(out->v4rhosigma3 != NULL) out->v4rhosigma3[ip*p->dim.v4rhosigma3 + 19] += d4F_dnb_dgbb3;
  if(out->v4sigma4 != NULL) out->v4sigma4[ip*p->dim.v4sigma4 + 0] += d4F_dgaa4;
  if(out->v4sigma4 != NULL) out->v4sigma4[ip*p->dim.v4sigma4 + 14] += d4F_dgbb4;
#endif
#endif
}
#endif