/*
  Generated from python/gga_exc/gga_k_dk.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_k_dk
*/

#ifndef _GGA_K_DK_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_K_DK_KERNEL_BODY
#define _KMAX 0
#define _GGA_K_DK_HELPER_BODIES
#include "gga_k_dk.c"
#undef _GGA_K_DK_HELPER_BODIES
#undef _KMAX
#if XC_MAXORDER >= 1
#define _KMAX 1
#define _GGA_K_DK_HELPER_BODIES
#include "gga_k_dk.c"
#undef _GGA_K_DK_HELPER_BODIES
#undef _KMAX
#endif
#if XC_MAXORDER >= 2
#define _KMAX 2
#define _GGA_K_DK_HELPER_BODIES
#include "gga_k_dk.c"
#undef _GGA_K_DK_HELPER_BODIES
#undef _KMAX
#endif
#if XC_MAXORDER >= 3
#define _KMAX 3
#define _GGA_K_DK_HELPER_BODIES
#include "gga_k_dk.c"
#undef _GGA_K_DK_HELPER_BODIES
#undef _KMAX
#endif
#if XC_MAXORDER >= 4
#define _KMAX 4
#define _GGA_K_DK_HELPER_BODIES
#include "gga_k_dk.c"
#undef _GGA_K_DK_HELPER_BODIES
#undef _KMAX
#endif
#define _KMAX 0
#define _SPIN_UNPOL 1
#define FUNC_NAME func_exc_unpol
#include "gga_k_dk.c"
#undef _KMAX
#undef _SPIN_UNPOL
#undef FUNC_NAME
#define _KMAX 0
#define _SPIN_UNPOL 0
#define FUNC_NAME func_exc_pol
#include "gga_k_dk.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_k_dk.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_k_dk.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_k_dk.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_k_dk.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_k_dk.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_k_dk.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_k_dk.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_k_dk.c"
#undef _KMAX
#undef _SPIN_UNPOL
#undef FUNC_NAME
#endif
#elif defined(_GGA_K_DK_HELPER_BODIES)

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

GPU_DEVICE_FUNCTION static inline void XC_CAT(dk_f_k, _KMAX)(const xc_func_type *p, double p_, double *out) {
  const gga_k_dk_params *params = (const gga_k_dk_params *)(p->params);

  const double _t1 = (p_ * p_);
  const double _t2 = (p_ * p_ * p_);
  const double _t3 = (p_ * p_ * p_ * p_);
  const double _t4 = _t1*params->aa[2] + _t2*params->aa[3] + _t3*params->aa[4] + p_*params->aa[1] + params->aa[0];
  const double _t5 = _t1*params->bb[2] + _t2*params->bb[3] + _t3*params->bb[4] + p_*params->bb[1] + params->bb[0];
  const double _t6 = (0.1e1 / _t5);
#if _KMAX >= 1
  const double _t7 = 0.2e1*params->aa[2];
  const double _t8 = 0.3e1*_t1;
  const double _t9 = 0.4e1*_t2;
  const double _t10 = _t7*p_ + _t8*params->aa[3] + _t9*params->aa[4] + params->aa[1];
  const double _t11 = 0.2e1*params->bb[2];
  const double _t12 = -_t11*p_ - _t8*params->bb[3] - _t9*params->bb[4] - params->bb[1];
  const double _t13 = (0.1e1 / (_t5 * _t5));
  const double _t14 = _t13*_t4;
#endif
#if _KMAX >= 2
  const double _t15 = 0.6e1*params->aa[3];
  const double _t16 = 0.12e2*_t1;
  const double _t17 = _t15*p_ + _t16*params->aa[4] + _t7;
  const double _t18 = 0.6e1*params->bb[3];
  const double _t19 = -_t11 - _t16*params->bb[4] - _t18*p_;
  const double _t20 = _t10*_t13;
  const double _t21 = 0.2e1*_t12;
  const double _t22 = (0.1e1 / (_t5 * _t5 * _t5));
  const double _t23 = _t22*_t4;
  const double _t24 = 0.4e1*params->bb[2];
  const double _t25 = _t2*params->bb[4];
  const double _t26 = -_t1*_t18 - _t24*p_ - 0.8e1*_t25 - 0.2e1*params->bb[1];
  const double _t27 = _t12*_t26;
#endif
#if _KMAX >= 3
  const double _t28 = 0.24e2*p_;
  const double _t29 = _t15 + _t28*params->aa[4];
  const double _t30 = -_t18 - _t28*params->bb[4];
  const double _t31 = 0.3e1*_t19;
  const double _t32 = _t12*_t13;
  const double _t33 = 0.12e2*params->bb[3];
  const double _t34 = _t1*params->bb[4];
  const double _t35 = -_t24 - _t33*p_ - 0.24e2*_t34;
  const double _t36 = _t12*_t23;
  const double _t37 = _t23*_t26;
  const double _t38 = _t10*_t22;
  const double _t39 = 0.6e1*params->bb[2];
  const double _t40 = -0.9e1*_t1*params->bb[3] - 0.12e2*_t25 - _t39*p_ - 0.3e1*params->bb[1];
  const double _t41 = (0.1e1 / (_t5 * _t5 * _t5 * _t5));
  const double _t42 = _t27*_t4*_t41;
#endif
#if _KMAX >= 4
  const double _t43 = 0.6e1*_t17;
  const double _t44 = _t40*_t41;
  const double _t45 = _t4*_t44;
#endif

  const double f = _t4*_t6;
  out[0] = f;
#if _KMAX >= 1
  const double df_dp_ = _t10*_t6 + _t12*_t14;
  out[1] = df_dp_;
#endif
#if _KMAX >= 2
  const double d2f_dp_2 = _t14*_t19 + _t17*_t6 + _t20*_t21 + _t23*_t27;
  out[2] = d2f_dp_2;
#endif
#if _KMAX >= 3
  const double d3f_dp_3 = _t14*_t30 + 0.3e1*_t17*_t32 + 0.2e1*_t19*_t37 + _t20*_t31 + 0.3e1*_t27*_t38 + _t29*_t6 + _t35*_t36 + _t40*_t42;
  out[3] = d3f_dp_3;
#endif
#if _KMAX >= 4
  const double d4f_dp_4 = 0.4e1*_t10*_t27*_t44 + 0.4e1*_t12*_t35*_t38 + _t13*_t19*_t43 - 0.24e2*_t14*params->bb[4] + 0.8e1*_t19*_t26*_t38 + 0.4e1*_t20*_t30 + _t21*_t35*_t45 + _t22*_t27*_t43 + _t23*_t31*_t35 + _t26*_t31*_t45 + _t27*_t4*_t40*(-_t1*_t33 - 0.16e2*_t25 - 0.8e1*p_*params->bb[2] - 0.4e1*params->bb[1])/xc_powi(_t5, 5) + 0.4e1*_t29*_t32 + 0.3e1*_t30*_t37 + _t36*(-_t33 - 0.48e2*p_*params->bb[4]) + _t42*(-0.36e2*_t34 - _t39 - 0.18e2*p_*params->bb[3]) + 0.24e2*_t6*params->aa[4];
  out[4] = d4f_dp_4;
#endif
}

GPU_DEVICE_FUNCTION static inline void XC_CAT(opz_pow_n_m1_n5_3_k, _KMAX)(const xc_func_type *p, double z, double *out) {

  const double _t1 = z - p->zeta_threshold + 0.1e1;
  const double _t2 = _t1 <= 0;
  const double _t3 = _t1 > 0;
  const double _t4 = my_piecewise3(_t3, z, p->zeta_threshold - 0.1e1);
  const double _t5 = xc_expm1((0.5e1 / 0.3e1)*xc_log1p(_t4));
#if _KMAX >= 1
  const double _t6 = my_piecewise3(_t3, 0.1e1, 0);
  const double _t7 = _t4 + 0.1e1;
  const double _t8 = _t5 + 0.1e1;
#endif

  const double f = my_piecewise3(_t2, xc_powr(p->zeta_threshold, 5, 3) - 0.1e1, _t5);
  out[0] = f;
#if _KMAX >= 1
  const double df_dz = my_piecewise3(_t2, 0, (0.5e1 / 0.3e1)*_t6*_t8/_t7);
  out[1] = df_dz;
#endif
#if _KMAX >= 2
  const double d2f_dz2 = my_piecewise3(_t2, 0, (0.10e2 / 0.9e1)*(_t6 * _t6)*_t8/(_t7 * _t7));
  out[2] = d2f_dz2;
#endif
#if _KMAX >= 3
  const double d3f_dz3 = my_piecewise3(_t2, 0, -0.10e2 / 0.27e2*(_t6 * _t6 * _t6)*_t8/(_t7 * _t7 * _t7));
  out[3] = d3f_dz3;
#endif
#if _KMAX >= 4
  const double d4f_dz4 = my_piecewise3(_t2, 0, (0.40e2 / 0.81e2)*(_t6 * _t6 * _t6 * _t6)*_t8/(_t7 * _t7 * _t7 * _t7));
  out[4] = d4f_dz4;
#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_k_dk_params *params = (const gga_k_dk_params *)(p->params);

  double _hc0[(_KMAX) >= 4 ? 5 : (_KMAX) >= 3 ? 4 : (_KMAX) >= 2 ? 3 : (_KMAX) >= 1 ? 2 : 1];
  XC_CAT(opz_pow_n_m1_n5_3_k, _KMAX)(p, 0.1e1 - p->zeta_threshold, _hc0);
  double _hc1[(_KMAX) >= 4 ? 5 : (_KMAX) >= 3 ? 4 : (_KMAX) >= 2 ? 3 : (_KMAX) >= 1 ? 2 : 1];
  XC_CAT(dk_f_k, _KMAX)(p, sigma_ss/xc_powr(n_s, 8, 3), _hc1);
  const double _t1 = -p->dens_threshold + n_s <= 0;
  const double _t2 = xc_powr(0.3e1, 2, 3);
  const double _t3 = (M_PI * M_CBRTPI);
  const double _t4 = _hc0[0] + 0.1e1;
  const double _t5 = _t2*_t3*_t4;
  const double _t6 = (0.3e1 / 0.20e2)*_t5;
  const double _t7 = my_piecewise3(_t1, 0, _hc1[0]*_t6*xc_powr(n_s, 2, 3));
#if _KMAX >= 1
  const double _t8 = my_piecewise3(_t1, 0, _hc1[1]*_t6/(n_s * n_s));
  const double _t9 = _hc1[0]*_t5;
  const double _t10 = _hc1[1]*_t5;
  const double _t11 = _t10/(n_s * n_s * n_s);
  const double _t12 = (0.2e1 / 0.5e1)*sigma_ss;
  const double _t13 = my_piecewise3(_t1, 0, -_t11*_t12 + (0.1e1 / 0.10e2)*_t9/xc_powr(n_s, 1, 3));
#endif
#if _KMAX >= 2
  const double _t14 = my_piecewise3(_t1, 0, _hc1[2]*_t6/xc_powr(n_s, 14, 3));
  const double _t15 = _hc1[2]*_t5;
  const double _t16 = _t15/xc_powr(n_s, 17, 3);
  const double _t17 = my_piecewise3(_t1, 0, -0.3e1 / 0.10e2*_t11 - _t12*_t16);
  const double _t18 = _t10/(n_s * n_s * n_s * n_s);
  const double _t19 = _t15/xc_powr(n_s, 20, 3);
  const double _t20 = (sigma_ss * sigma_ss);
  const double _t21 = (0.16e2 / 0.15e2)*_t20;
  const double _t22 = my_piecewise3(_t1, 0, (0.14e2 / 0.15e2)*_t18*sigma_ss + _t19*_t21 - 0.1e1 / 0.30e2*_t9/xc_powr(n_s, 4, 3));
#endif
#if _KMAX >= 3
  const double _t23 = my_piecewise3(_t1, 0, _hc1[3]*_t6/xc_powr(n_s, 22, 3));
  const double _t24 = _hc1[3]*_t5;
  const double _t25 = _t24/xc_powr(n_s, 25, 3);
  const double _t26 = my_piecewise3(_t1, 0, -_t12*_t25 - 0.7e1 / 0.10e2*_t16);
  const double _t27 = _t24/xc_powr(n_s, 28, 3);
  const double _t28 = my_piecewise3(_t1, 0, (0.9e1 / 0.10e2)*_t18 + (0.46e2 / 0.15e2)*_t19*sigma_ss + _t21*_t27);
  const double _t29 = _t10/xc_powi(n_s, 5);
  const double _t30 = _t15/xc_powr(n_s, 23, 3);
  const double _t31 = _t24/xc_powr(n_s, 31, 3);
  const double _t32 = (sigma_ss * sigma_ss * sigma_ss);
  const double _t33 = (0.128e3 / 0.45e2)*_t32;
  const double _t34 = my_piecewise3(_t1, 0, (0.2e1 / 0.45e2)*_hc1[0]*_t2*_t3*_t4/xc_powr(n_s, 7, 3) - 0.48e2 / 0.5e1*_t20*_t30 - 0.164e3 / 0.45e2*_t29*sigma_ss - _t31*_t33);
#endif
#if _KMAX >= 4
  const double _t35 = _hc1[4]*_t5;
#endif

  const double f = my_piecewise3(_t1, 0, _t7*n_s);
  out[0] = f;
#if _KMAX >= 1
  const double df_dsigma_ss = my_piecewise3(_t1, 0, _t8*n_s);
  out[1] = df_dsigma_ss;
  const double df_dn_s = my_piecewise3(_t1, 0, _t13*n_s + _t7);
  out[2] = df_dn_s;
#endif
#if _KMAX >= 2
  const double d2f_dsigma_ss2 = my_piecewise3(_t1, 0, _t14*n_s);
  out[3] = d2f_dsigma_ss2;
  const double d2f_dn_s_dsigma_ss = my_piecewise3(_t1, 0, _t17*n_s + _t8);
  out[4] = d2f_dn_s_dsigma_ss;
  const double d2f_dn_s2 = my_piecewise3(_t1, 0, 0.2e1*_t13 + _t22*n_s);
  out[5] = d2f_dn_s2;
#endif
#if _KMAX >= 3
  const double d3f_dsigma_ss3 = my_piecewise3(_t1, 0, _t23*n_s);
  out[6] = d3f_dsigma_ss3;
  const double d3f_dn_s_dsigma_ss2 = my_piecewise3(_t1, 0, _t14 + _t26*n_s);
  out[7] = d3f_dn_s_dsigma_ss2;
  const double d3f_dn_s2_dsigma_ss = my_piecewise3(_t1, 0, 0.2e1*_t17 + _t28*n_s);
  out[8] = d3f_dn_s2_dsigma_ss;
  const double d3f_dn_s3 = my_piecewise3(_t1, 0, 0.3e1*_t22 + _t34*n_s);
  out[9] = d3f_dn_s3;
#endif
#if _KMAX >= 4
  const double d4f_dsigma_ss4 = my_piecewise3(_t1, 0, n_s*my_piecewise3(_t1, 0, _hc1[4]*_t6/xc_powi(n_s, 10)));
  out[10] = d4f_dsigma_ss4;
  const double d4f_dn_s_dsigma_ss3 = my_piecewise3(_t1, 0, _t23 + n_s*my_piecewise3(_t1, 0, -_t12*_t35/xc_powi(n_s, 11) - 0.11e2 / 0.10e2*_t25));
  out[11] = d4f_dn_s_dsigma_ss3;
  const double d4f_dn_s2_dsigma_ss2 = my_piecewise3(_t1, 0, 0.2e1*_t26 + n_s*my_piecewise3(_t1, 0, (0.119e3 / 0.30e2)*_t19 + _t21*_t35/xc_powi(n_s, 12) + (0.26e2 / 0.5e1)*_t27*sigma_ss));
  out[12] = d4f_dn_s2_dsigma_ss2;
  const double d4f_dn_s3_dsigma_ss = my_piecewise3(_t1, 0, 0.3e1*_t28 + n_s*my_piecewise3(_t1, 0, -0.272e3 / 0.15e2*_t20*_t31 - 0.18e2 / 0.5e1*_t29 - 0.1028e4 / 0.45e2*_t30*sigma_ss - _t33*_t35/xc_powi(n_s, 13)));
  out[13] = d4f_dn_s3_dsigma_ss;
  const double d4f_dn_s4 = my_piecewise3(_t1, 0, 0.4e1*_t34 + n_s*my_piecewise3(_t1, 0, (0.2444e4 / 0.135e3)*_t10*sigma_ss/xc_powi(n_s, 6) + (0.11248e5 / 0.135e3)*_t15*_t20/xc_powr(n_s, 26, 3) + (0.7424e4 / 0.135e3)*_t24*_t32/xc_powr(n_s, 34, 3) + (0.1024e4 / 0.135e3)*_t35*(sigma_ss * sigma_ss * sigma_ss * sigma_ss)/xc_powi(n_s, 14) - 0.14e2 / 0.135e3*_t9/xc_powr(n_s, 10, 3)));
  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_k_dk_params *params = (const gga_k_dk_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