/*
  Generated from python/gga_exc/gga_x_b88.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_b88
*/

#ifndef _GGA_X_B88_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_B88_KERNEL_BODY
#define _KMAX 0
#define _GGA_X_B88_HELPER_BODIES
#include "gga_x_b88.c"
#undef _GGA_X_B88_HELPER_BODIES
#undef _KMAX
#if XC_MAXORDER >= 1
#define _KMAX 1
#define _GGA_X_B88_HELPER_BODIES
#include "gga_x_b88.c"
#undef _GGA_X_B88_HELPER_BODIES
#undef _KMAX
#endif
#if XC_MAXORDER >= 2
#define _KMAX 2
#define _GGA_X_B88_HELPER_BODIES
#include "gga_x_b88.c"
#undef _GGA_X_B88_HELPER_BODIES
#undef _KMAX
#endif
#if XC_MAXORDER >= 3
#define _KMAX 3
#define _GGA_X_B88_HELPER_BODIES
#include "gga_x_b88.c"
#undef _GGA_X_B88_HELPER_BODIES
#undef _KMAX
#endif
#if XC_MAXORDER >= 4
#define _KMAX 4
#define _GGA_X_B88_HELPER_BODIES
#include "gga_x_b88.c"
#undef _GGA_X_B88_HELPER_BODIES
#undef _KMAX
#endif
#define _KMAX 0
#define _SPIN_UNPOL 1
#define FUNC_NAME func_exc_unpol
#include "gga_x_b88.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_b88.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_b88.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_b88.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_b88.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_b88.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_b88.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_b88.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_b88.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_b88.c"
#undef _KMAX
#undef _SPIN_UNPOL
#undef FUNC_NAME
#endif
#elif defined(_GGA_X_B88_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(b88_f_m1_k, _KMAX)(const xc_func_type *p, double x, double *out) {
  const gga_x_b88_params *params = (const gga_x_b88_params *)(p->params);

  const double _t1 = params->beta*params->gamma;
  const double _t2 = _t1*xc_asinh(x);
  const double _t3 = _t2*x + 0.1e1;
  const double _t4 = xc_powr(0.2e1, 2, 3)*M_CBRTPI*params->beta/M_CBRT3;
  const double _t5 = _t4/_t3;
  const double _t6 = (x * x);
  const double _t7 = (0.2e1 / 0.3e1)*_t6;
#if _KMAX >= 1
  const double _t8 = (0.4e1 / 0.3e1)*_t5;
  const double _t9 = _t6 + 0.1e1;
  const double _t10 = _t1/xc_powr(_t9, 1, 2);
  const double _t11 = _t10*x;
  const double _t12 = -_t11 - _t2;
  const double _t13 = _t4/(_t3 * _t3);
  const double _t14 = _t12*_t13;
#endif
#if _KMAX >= 2
  const double _t15 = xc_powr(_t9, -3, 2);
  const double _t16 = _t1*_t15;
  const double _t17 = _t16*_t6;
  const double _t18 = -0.2e1*_t10 + _t17;
  const double _t19 = _t13*_t18;
  const double _t20 = -0.2e1*_t11 - 0.2e1*_t2;
  const double _t21 = _t4/(_t3 * _t3 * _t3);
  const double _t22 = _t12*_t21;
  const double _t23 = _t20*_t22;
#endif
#if _KMAX >= 3
  const double _t24 = 0.4e1*x;
  const double _t25 = _t1/xc_powr(_t9, 5, 2);
  const double _t26 = _t25*(x * x * x);
  const double _t27 = 0.4e1*_t15*params->beta*params->gamma*x - 0.3e1*_t26;
  const double _t28 = _t13*_t7;
  const double _t29 = (0.4e1 / 0.3e1)*_t6;
  const double _t30 = _t18*_t21;
  const double _t31 = _t20*_t30;
  const double _t32 = -0.4e1*_t10 + 0.2e1*_t17;
  const double _t33 = _t22*_t7;
  const double _t34 = (0.1e1 / (_t3 * _t3 * _t3 * _t3));
  const double _t35 = -0.3e1*_t11 - 0.3e1*_t2;
  const double _t36 = _t34*_t35*_t4;
  const double _t37 = _t12*_t36;
  const double _t38 = _t20*_t7;
#endif
#if _KMAX >= 4
  const double _t39 = (0.16e2 / 0.3e1)*x;
  const double _t40 = 0.2e1*_t6;
  const double _t41 = _t20*_t40;
  const double _t42 = _t12*_t38*_t4;
#endif

  const double f = _t5*_t7;
  out[0] = f;
#if _KMAX >= 1
  const double df_dx = _t14*_t7 + _t8*x;
  out[1] = df_dx;
#endif
#if _KMAX >= 2
  const double d2f_dx2 = (0.8e1 / 0.3e1)*_t14*x + _t19*_t7 + _t23*_t7 + _t8;
  out[2] = d2f_dx2;
#endif
#if _KMAX >= 3
  const double d3f_dx3 = 0.4e1*_t14 + _t19*_t24 + _t23*_t24 + _t27*_t28 + _t29*_t31 + _t32*_t33 + _t37*_t38;
  out[3] = d3f_dx3;
#endif
#if _KMAX >= 4
  const double d4f_dx4 = _t13*_t27*_t39 + _t18*_t36*_t41 + 0.8e1*_t19 + _t20*_t37*_t39 + _t21*_t27*_t41 + _t22*_t32*_t39 + 0.8e1*_t23 + _t28*(0.15e2*_t1*(x * x * x * x)/xc_powr(_t9, 7, 2) + 0.4e1*_t16 - 0.21e2*_t25*_t6) + _t29*_t32*_t37 + _t30*_t32*_t40 + (0.32e2 / 0.3e1)*_t31*x + _t33*(0.8e1*_t15*params->beta*params->gamma*x - 0.6e1*_t26) + _t34*_t42*(-0.6e1*_t10 + 0.3e1*_t17) + _t35*_t42*(-0.4e1*_t11 - 0.4e1*_t2)/xc_powi(_t3, 5);
  out[4] = d4f_dx4;
#endif
}

GPU_DEVICE_FUNCTION static inline void XC_CAT(b88_f_k, _KMAX)(const xc_func_type *p, double x, double *out) {

  double _hc0[(_KMAX) >= 4 ? 5 : (_KMAX) >= 3 ? 4 : (_KMAX) >= 2 ? 3 : (_KMAX) >= 1 ? 2 : 1];
  XC_CAT(b88_f_m1_k, _KMAX)(p, x, _hc0);

  const double f = _hc0[0] + 0.1e1;
  out[0] = f;
#if _KMAX >= 1
  const double df_dx = _hc0[1];
  out[1] = df_dx;
#endif
#if _KMAX >= 2
  const double d2f_dx2 = _hc0[2];
  out[2] = d2f_dx2;
#endif
#if _KMAX >= 3
  const double d3f_dx3 = _hc0[3];
  out[3] = d3f_dx3;
#endif
#if _KMAX >= 4
  const double d4f_dx4 = _hc0[4];
  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_b88_params *params = (const gga_x_b88_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(b88_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_b88_params *params = (const gga_x_b88_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