File Coverage

lib/PDL/Primitive-pp-pchip_chia.c

Criterion	Covered	Total	%
statement	52	72	72.2
branch	50	264	18.9
condition			n/a
subroutine			n/a
pod			n/a
total	102	336	30.3

#line 453 "lib/PDL/PP.pm"
/*
 * THIS FILE WAS GENERATED BY PDL::PP from lib/PDL/Primitive.pd! Do not modify!
 */

#define PDL_FREE_CODE(trans, destroy, comp_free_code, ntpriv_free_code) \
    if (destroy) { \
	comp_free_code \
    } \
    if ((trans)->dims_redone) { \
	ntpriv_free_code \
    }

#include "EXTERN.h"
#include "perl.h"
#include "XSUB.h"
#include "pdl.h"
#include "pdlcore.h"
#define PDL PDL_Primitive
extern Core* PDL; /* Structure hold core C functions */
#line 23 "lib/PDL/Primitive-pp-pchip_chia.c"
extern int pdl_srand_threads;
extern uint64_t *pdl_rand_state;
void pdl_srand(uint64_t **s, uint64_t seed, int n);
double pdl_drand(uint64_t *s);
#define PDL_MAYBE_SRAND \
  if (pdl_srand_threads < 0) \
    pdl_srand(&pdl_rand_state, PDL->pdl_seed(), PDL->online_cpus());
#define PDL_RAND_SET_OFFSET(v, thr, pdl) \
  if (v < 0) { \
    if (thr.mag_nthr >= 0) { \
      int thr_no = PDL->magic_get_thread(pdl); \
      if (thr_no < 0) return PDL->make_error_simple(PDL_EFATAL, "Invalid pdl_magic_get_thread!"); \
      v = thr_no == 0 ? thr_no : thr_no % PDL->online_cpus(); \
    } else { \
      v = 0; \
    } \
  }

#line 1857 "lib/PDL/PP.pm"
pdl_error pdl_pchip_chia_redodims(pdl_trans *__privtrans) {
  pdl_error PDL_err = {0, NULL, 0};
#line 45 "lib/PDL/Primitive-pp-pchip_chia.c"
  #ifndef PDL_DECLARE_PARAMS_pchip_chia_0
  #define PDL_DECLARE_PARAMS_pchip_chia_0(PDL_TYPE_OP,PDL_PPSYM_OP,PDL_TYPE_PARAM_ierr,PDL_PPSYM_PARAM_ierr,PDL_TYPE_PARAM_skip,PDL_PPSYM_PARAM_skip) \
    PDL_DECLARE_PARAMETER(PDL_TYPE_OP, x, (__privtrans->pdls[0]), 0, PDL_PPSYM_OP) \
    PDL_DECLARE_PARAMETER(PDL_TYPE_OP, f, (__privtrans->pdls[1]), 0, PDL_PPSYM_OP) \
    PDL_DECLARE_PARAMETER(PDL_TYPE_OP, d, (__privtrans->pdls[2]), 0, PDL_PPSYM_OP) \
    PDL_DECLARE_PARAMETER(PDL_TYPE_OP, la, (__privtrans->pdls[3]), 0, PDL_PPSYM_OP) \
    PDL_DECLARE_PARAMETER(PDL_TYPE_OP, lb, (__privtrans->pdls[4]), 0, PDL_PPSYM_OP) \
    PDL_DECLARE_PARAMETER(PDL_TYPE_OP, ans, (__privtrans->pdls[5]), 0, PDL_PPSYM_OP) \
    PDL_DECLARE_PARAMETER(PDL_TYPE_PARAM_ierr, ierr, (__privtrans->pdls[6]), 0, PDL_PPSYM_PARAM_ierr) \
    PDL_DECLARE_PARAMETER(PDL_TYPE_PARAM_skip, skip, (__privtrans->pdls[7]), 0, PDL_PPSYM_PARAM_skip)
  #endif
  #define PDL_IF_BAD(t,f) f
  switch (__privtrans->__datatype) { /* Start generic switch */
    case PDL_F: {
      PDL_DECLARE_PARAMS_pchip_chia_0(PDL_Float,F,PDL_Indx,N,PDL_Long,L)
        {if (__privtrans->ind_sizes[0] < 2) return PDL->make_error(PDL_EUSERERROR, "Error in pchip_chia:" "NUMBER OF DATA POINTS LESS THAN TWO");
        }
    } break;
    case PDL_D: {
      PDL_DECLARE_PARAMS_pchip_chia_0(PDL_Double,D,PDL_Indx,N,PDL_Long,L)
        {if (__privtrans->ind_sizes[0] < 2) return PDL->make_error(PDL_EUSERERROR, "Error in pchip_chia:" "NUMBER OF DATA POINTS LESS THAN TWO");
        }
    } break;
    case PDL_LD: {
      PDL_DECLARE_PARAMS_pchip_chia_0(PDL_LDouble,E,PDL_Indx,N,PDL_Long,L)
        {if (__privtrans->ind_sizes[0] < 2) return PDL->make_error(PDL_EUSERERROR, "Error in pchip_chia:" "NUMBER OF DATA POINTS LESS THAN TWO");
        }
    } break;
    default: return PDL->make_error(PDL_EUSERERROR, "PP INTERNAL ERROR in pchip_chia: unhandled datatype(%d), only handles (FDE)! PLEASE MAKE A BUG REPORT\n", __privtrans->__datatype);
  }
  #undef PDL_IF_BAD

  PDL_RETERROR(PDL_err, PDL->redodims_default(__privtrans));
  return PDL_err;
}


#line 1857 "lib/PDL/PP.pm"
pdl_error pdl_pchip_chia_readdata(pdl_trans *__privtrans) {
  pdl_error PDL_err = {0, NULL, 0};
#line 86 "lib/PDL/Primitive-pp-pchip_chia.c"
  register PDL_Indx __n_size = __privtrans->ind_sizes[0];
  if (!__privtrans->broadcast.incs) return PDL->make_error(PDL_EUSERERROR, "Error in pchip_chia:" "broadcast.incs NULL");
  /* broadcastloop declarations */
  int __brcloopval;
  register PDL_Indx __tind0,__tind1; /* counters along dim */
  register PDL_Indx __tnpdls = __privtrans->broadcast.npdls;
  /* dims here are how many steps along those dims */
  register PDL_Indx __tinc0_x = PDL_BRC_INC(__privtrans->broadcast.incs,__tnpdls,0,0);
  register PDL_Indx __tinc0_f = PDL_BRC_INC(__privtrans->broadcast.incs,__tnpdls,1,0);
  register PDL_Indx __tinc0_d = PDL_BRC_INC(__privtrans->broadcast.incs,__tnpdls,2,0);
  register PDL_Indx __tinc0_la = PDL_BRC_INC(__privtrans->broadcast.incs,__tnpdls,3,0);
  register PDL_Indx __tinc0_lb = PDL_BRC_INC(__privtrans->broadcast.incs,__tnpdls,4,0);
  register PDL_Indx __tinc0_ans = PDL_BRC_INC(__privtrans->broadcast.incs,__tnpdls,5,0);
  register PDL_Indx __tinc0_ierr = PDL_BRC_INC(__privtrans->broadcast.incs,__tnpdls,6,0);
  register PDL_Indx __tinc0_skip = PDL_BRC_INC(__privtrans->broadcast.incs,__tnpdls,7,0);
  register PDL_Indx __tinc1_x = PDL_BRC_INC(__privtrans->broadcast.incs,__tnpdls,0,1);
  register PDL_Indx __tinc1_f = PDL_BRC_INC(__privtrans->broadcast.incs,__tnpdls,1,1);
  register PDL_Indx __tinc1_d = PDL_BRC_INC(__privtrans->broadcast.incs,__tnpdls,2,1);
  register PDL_Indx __tinc1_la = PDL_BRC_INC(__privtrans->broadcast.incs,__tnpdls,3,1);
  register PDL_Indx __tinc1_lb = PDL_BRC_INC(__privtrans->broadcast.incs,__tnpdls,4,1);
  register PDL_Indx __tinc1_ans = PDL_BRC_INC(__privtrans->broadcast.incs,__tnpdls,5,1);
  register PDL_Indx __tinc1_ierr = PDL_BRC_INC(__privtrans->broadcast.incs,__tnpdls,6,1);
  register PDL_Indx __tinc1_skip = PDL_BRC_INC(__privtrans->broadcast.incs,__tnpdls,7,1);
  #define PDL_BROADCASTLOOP_START_pchip_chia_readdata PDL_BROADCASTLOOP_START( \
    readdata, \
    __privtrans->broadcast, \
    __privtrans->vtable, \
    x_datap += __offsp[0]; \
    f_datap += __offsp[1]; \
    d_datap += __offsp[2]; \
    la_datap += __offsp[3]; \
    lb_datap += __offsp[4]; \
    ans_datap += __offsp[5]; \
    ierr_datap += __offsp[6]; \
    skip_datap += __offsp[7]; \
    , \
    (  ,x_datap += __tinc1_x - __tinc0_x * __tdims0 \
    ,f_datap += __tinc1_f - __tinc0_f * __tdims0 \
    ,d_datap += __tinc1_d - __tinc0_d * __tdims0 \
    ,la_datap += __tinc1_la - __tinc0_la * __tdims0 \
    ,lb_datap += __tinc1_lb - __tinc0_lb * __tdims0 \
    ,ans_datap += __tinc1_ans - __tinc0_ans * __tdims0 \
    ,ierr_datap += __tinc1_ierr - __tinc0_ierr * __tdims0 \
    ,skip_datap += __tinc1_skip - __tinc0_skip * __tdims0 \
    ), \
    (  ,x_datap += __tinc0_x \
    ,f_datap += __tinc0_f \
    ,d_datap += __tinc0_d \
    ,la_datap += __tinc0_la \
    ,lb_datap += __tinc0_lb \
    ,ans_datap += __tinc0_ans \
    ,ierr_datap += __tinc0_ierr \
    ,skip_datap += __tinc0_skip \
    ) \
  )
  #define PDL_BROADCASTLOOP_END_pchip_chia_readdata PDL_BROADCASTLOOP_END( \
    __privtrans->broadcast, \
    x_datap -= __tinc1_x * __tdims1 + __offsp[0]; \
    f_datap -= __tinc1_f * __tdims1 + __offsp[1]; \
    d_datap -= __tinc1_d * __tdims1 + __offsp[2]; \
    la_datap -= __tinc1_la * __tdims1 + __offsp[3]; \
    lb_datap -= __tinc1_lb * __tdims1 + __offsp[4]; \
    ans_datap -= __tinc1_ans * __tdims1 + __offsp[5]; \
    ierr_datap -= __tinc1_ierr * __tdims1 + __offsp[6]; \
    skip_datap -= __tinc1_skip * __tdims1 + __offsp[7]; \
  )
  register PDL_Indx __inc_d_n = __privtrans->inc_sizes[PDL_INC_ID(__privtrans->vtable,2,0)]; (void)__inc_d_n;
  register PDL_Indx __inc_f_n = __privtrans->inc_sizes[PDL_INC_ID(__privtrans->vtable,1,0)]; (void)__inc_f_n;
  register PDL_Indx __inc_x_n = __privtrans->inc_sizes[PDL_INC_ID(__privtrans->vtable,0,0)]; (void)__inc_x_n;
  #ifndef PDL_DECLARE_PARAMS_pchip_chia_1
  #define PDL_DECLARE_PARAMS_pchip_chia_1(PDL_TYPE_OP,PDL_PPSYM_OP,PDL_TYPE_PARAM_ierr,PDL_PPSYM_PARAM_ierr,PDL_TYPE_PARAM_skip,PDL_PPSYM_PARAM_skip) \
    PDL_DECLARE_PARAMETER(PDL_TYPE_OP, x, (__privtrans->pdls[0]), 1, PDL_PPSYM_OP) \
    PDL_DECLARE_PARAMETER(PDL_TYPE_OP, f, (__privtrans->pdls[1]), 1, PDL_PPSYM_OP) \
    PDL_DECLARE_PARAMETER(PDL_TYPE_OP, d, (__privtrans->pdls[2]), 1, PDL_PPSYM_OP) \
    PDL_DECLARE_PARAMETER(PDL_TYPE_OP, la, (__privtrans->pdls[3]), 1, PDL_PPSYM_OP) \
    PDL_DECLARE_PARAMETER(PDL_TYPE_OP, lb, (__privtrans->pdls[4]), 1, PDL_PPSYM_OP) \
    PDL_DECLARE_PARAMETER(PDL_TYPE_OP, ans, (__privtrans->pdls[5]), 1, PDL_PPSYM_OP) \
    PDL_DECLARE_PARAMETER(PDL_TYPE_PARAM_ierr, ierr, (__privtrans->pdls[6]), 1, PDL_PPSYM_PARAM_ierr) \
    PDL_DECLARE_PARAMETER(PDL_TYPE_PARAM_skip, skip, (__privtrans->pdls[7]), 1, PDL_PPSYM_PARAM_skip)
  #endif
  #define PDL_IF_BAD(t,f) f
  switch (__privtrans->__datatype) { /* Start generic switch */
    case PDL_F: {
      PDL_DECLARE_PARAMS_pchip_chia_1(PDL_Float,F,PDL_Indx,N,PDL_Long,L)
      PDL_BROADCASTLOOP_START_pchip_chia_readdata    {
          #line 5694 "lib/PDL/Primitive.pd"
          PDL_Indx ia, ib, il;
          PDL_Float a = (la_datap)[0], b = (lb_datap)[0], xa, xb;
          PDL_Indx ir, n = __privtrans->ind_sizes[0];
          PDL_Float value = 0.;
          if (!(skip_datap)[0]) {
            {/* Open n=1 */ PDL_EXPAND2(register PDL_Indx n=PDLMAX((1),0), __n_stop=(__n_size)); for(; n<__n_stop; n+=1) {
            #line 5700 "lib/PDL/Primitive.pd"
                if ((x_datap)[0+(__inc_x_n*(n))] > (x_datap)[0+(__inc_x_n*(n-1))]) continue;
                (ierr_datap)[0] = -1;
                return PDL->make_error(PDL_EUSERERROR, "Error in pchip_chia:" "X-ARRAY NOT STRICTLY INCREASING");
              }} /* Close n=1 */
          #line 5704 "lib/PDL/Primitive.pd"
          }
          /*  FUNCTION DEFINITION IS OK, GO ON. */
          (skip_datap)[0] = 1;
          (ierr_datap)[0] = 0;
          if (a < (x_datap)[0+(__inc_x_n*(0))] || a > (x_datap)[0+(__inc_x_n*(n-1))]) {
            ++((ierr_datap)[0]);
          }
          if (b < (x_datap)[0+(__inc_x_n*(0))] || b > (x_datap)[0+(__inc_x_n*(n-1))]) {
            (ierr_datap)[0] += 2;
          }
          /*  COMPUTE INTEGRAL VALUE. */
          if (a != b) {
            xa = PDLMIN(a,b);
            xb = PDLMAX(a,b);
            if (xb <= (x_datap)[0+(__inc_x_n*(1))]) {
          /*       INTERVAL IS TO LEFT OF X(2), SO USE FIRST CUBIC. */
          /*           --------------------------------------- */

          /* ***PURPOSE  Evaluates integral of a single cubic for DPCHIA */
          /*      DCHFIE:  Cubic Hermite Function Integral Evaluator. */
          /*   Called by  DPCHIA  to evaluate the integral of a single cubic (in */
          /*   Hermite form) over an arbitrary interval (A,B). */
          /* ---------------------------------------------------------------------- */
          /*   Parameters: */
          /*   VALUE -- (output) value of the requested integral. */
          /*   X1,X2 -- (input) endpoints if interval of definition of cubic. */
          /*   F1,F2 -- (input) function values at the ends of the interval. */
          /*   D1,D2 -- (input) derivative values at the ends of the interval. */
          /*   A,B -- (input) endpoints of interval of integration. */
          /* ***SEE ALSO  DPCHIA */
          /*  Programming notes: */
          /*  1. There is no error return from this routine because zero is */
          /*   indeed the mathematically correct answer when X1.EQ.X2 . */
          do {
            if ((x_datap)[0+(__inc_x_n*(0))] == (x_datap)[0+(__inc_x_n*(1))]) {
              value = 0.; break;
            }
            PDL_Float h = (x_datap)[0+(__inc_x_n*(1))] - (x_datap)[0+(__inc_x_n*(0))];
            PDL_Float ta1 = (a - (x_datap)[0+(__inc_x_n*(0))]) / h;
            PDL_Float ta2 = ((x_datap)[0+(__inc_x_n*(1))] - a) / h;
            PDL_Float tb1 = (b - (x_datap)[0+(__inc_x_n*(0))]) / h;
            PDL_Float tb2 = ((x_datap)[0+(__inc_x_n*(1))] - b) / h;
          /* Computing 3rd power */
            PDL_Float ua1 = ta1 * (ta1 * ta1);
            PDL_Float phia1 = ua1 * (2. - ta1);
            PDL_Float psia1 = ua1 * (3. * ta1 - 4.);
          /* Computing 3rd power */
            PDL_Float ua2 = ta2 * (ta2 * ta2);
            PDL_Float phia2 = ua2 * (2. - ta2);
            PDL_Float psia2 = -ua2 * (3. * ta2 - 4.);
          /* Computing 3rd power */
            PDL_Float ub1 = tb1 * (tb1 * tb1);
            PDL_Float phib1 = ub1 * (2. - tb1);
            PDL_Float psib1 = ub1 * (3. * tb1 - 4.);
          /* Computing 3rd power */
            PDL_Float ub2 = tb2 * (tb2 * tb2);
            PDL_Float phib2 = ub2 * (2. - tb2);
            PDL_Float psib2 = -ub2 * (3. * tb2 - 4.);
            PDL_Float fterm = (f_datap)[0+(__inc_f_n*(0))] * (phia2 - phib2) + (f_datap)[0+(__inc_f_n*(1))] * (phib1 - phia1);
            PDL_Float dterm = ((d_datap)[0+(__inc_d_n*(0))] * (psia2 - psib2) + (d_datap)[0+(__inc_d_n*(1))] * (psib1 - psia1)) * (h / 6.);
            value = 0.5 * h * (fterm + dterm);
          } while(0)
          ;
          /*           --------------------------------------- */
            } else if (xa >= (x_datap)[0+(__inc_x_n*(n-2))]) {
          /*       INTERVAL IS TO RIGHT OF X(N-1), SO USE LAST CUBIC. */
          /*           ------------------------------------------ */

          /* ***PURPOSE  Evaluates integral of a single cubic for DPCHIA */
          /*      DCHFIE:  Cubic Hermite Function Integral Evaluator. */
          /*   Called by  DPCHIA  to evaluate the integral of a single cubic (in */
          /*   Hermite form) over an arbitrary interval (A,B). */
          /* ---------------------------------------------------------------------- */
          /*   Parameters: */
          /*   VALUE -- (output) value of the requested integral. */
          /*   X1,X2 -- (input) endpoints if interval of definition of cubic. */
          /*   F1,F2 -- (input) function values at the ends of the interval. */
          /*   D1,D2 -- (input) derivative values at the ends of the interval. */
          /*   A,B -- (input) endpoints of interval of integration. */
          /* ***SEE ALSO  DPCHIA */
          /*  Programming notes: */
          /*  1. There is no error return from this routine because zero is */
          /*   indeed the mathematically correct answer when X1.EQ.X2 . */
          do {
            if ((x_datap)[0+(__inc_x_n*(n-2))] == (x_datap)[0+(__inc_x_n*(n-1))]) {
              value = 0.; break;
            }
            PDL_Float h = (x_datap)[0+(__inc_x_n*(n-1))] - (x_datap)[0+(__inc_x_n*(n-2))];
            PDL_Float ta1 = (a - (x_datap)[0+(__inc_x_n*(n-2))]) / h;
            PDL_Float ta2 = ((x_datap)[0+(__inc_x_n*(n-1))] - a) / h;
            PDL_Float tb1 = (b - (x_datap)[0+(__inc_x_n*(n-2))]) / h;
            PDL_Float tb2 = ((x_datap)[0+(__inc_x_n*(n-1))] - b) / h;
          /* Computing 3rd power */
            PDL_Float ua1 = ta1 * (ta1 * ta1);
            PDL_Float phia1 = ua1 * (2. - ta1);
            PDL_Float psia1 = ua1 * (3. * ta1 - 4.);
          /* Computing 3rd power */
            PDL_Float ua2 = ta2 * (ta2 * ta2);
            PDL_Float phia2 = ua2 * (2. - ta2);
            PDL_Float psia2 = -ua2 * (3. * ta2 - 4.);
          /* Computing 3rd power */
            PDL_Float ub1 = tb1 * (tb1 * tb1);
            PDL_Float phib1 = ub1 * (2. - tb1);
            PDL_Float psib1 = ub1 * (3. * tb1 - 4.);
          /* Computing 3rd power */
            PDL_Float ub2 = tb2 * (tb2 * tb2);
            PDL_Float phib2 = ub2 * (2. - tb2);
            PDL_Float psib2 = -ub2 * (3. * tb2 - 4.);
            PDL_Float fterm = (f_datap)[0+(__inc_f_n*(n-2))] * (phia2 - phib2) + (f_datap)[0+(__inc_f_n*(n-1))] * (phib1 - phia1);
            PDL_Float dterm = ((d_datap)[0+(__inc_d_n*(n-2))] * (psia2 - psib2) + (d_datap)[0+(__inc_d_n*(n-1))] * (psib1 - psia1)) * (h / 6.);
            value = 0.5 * h * (fterm + dterm);
          } while(0)
          ;
          /*           ------------------------------------------ */
            } else {
          /*       'NORMAL' CASE -- XA.LT.XB, XA.LT.X(N-1), XB.GT.X(2). */
          /*    ......LOCATE IA AND IB SUCH THAT */
          /*         X(IA-1).LT.XA.LE.X(IA).LE.X(IB).LE.XB.LE.X(IB+1) */
              ia = 0;
              {/* Open n=:-1 */ PDL_EXPAND2(register PDL_Indx n=0, __n_stop=(__n_size-1)); for(; n<__n_stop; n+=1) {
            #line 5735 "lib/PDL/Primitive.pd"
                  if (xa > (x_datap)[0+(__inc_x_n*(n))])
                    ia = n + 1;
                }} /* Close n=:-1 */
          #line 5738 "lib/PDL/Primitive.pd"
          /*       IA = 1 IMPLIES XA.LT.X(1) .  OTHERWISE, */
          /*       IA IS LARGEST INDEX SUCH THAT X(IA-1).LT.XA,. */
              ib = n - 1;
              {/* Open n=:ia:-1 */ PDL_EXPAND2(register PDL_Indx n=(__n_size-1), __n_stop=PDLMAX((ia),0)); for(; n>=__n_stop; n+=-1) {
            #line 5742 "lib/PDL/Primitive.pd"
                  if (xb < (x_datap)[0+(__inc_x_n*(n))])
                    ib = n - 1;
                }} /* Close n=:ia:-1 */
          #line 5745 "lib/PDL/Primitive.pd"
          /*       IB = N IMPLIES XB.GT.X(N) .  OTHERWISE, */
          /*       IB IS SMALLEST INDEX SUCH THAT XB.LT.X(IB+1) . */
          /*   ......COMPUTE THE INTEGRAL. */
              if (ib <= ia) {
          /*        THIS MEANS IB = IA-1 AND */
          /*         (A,B) IS A SUBSET OF (X(IB),X(IA)). */
          /*            ------------------------------------------- */

          /* ***PURPOSE  Evaluates integral of a single cubic for DPCHIA */
          /*      DCHFIE:  Cubic Hermite Function Integral Evaluator. */
          /*   Called by  DPCHIA  to evaluate the integral of a single cubic (in */
          /*   Hermite form) over an arbitrary interval (A,B). */
          /* ---------------------------------------------------------------------- */
          /*   Parameters: */
          /*   VALUE -- (output) value of the requested integral. */
          /*   X1,X2 -- (input) endpoints if interval of definition of cubic. */
          /*   F1,F2 -- (input) function values at the ends of the interval. */
          /*   D1,D2 -- (input) derivative values at the ends of the interval. */
          /*   A,B -- (input) endpoints of interval of integration. */
          /* ***SEE ALSO  DPCHIA */
          /*  Programming notes: */
          /*  1. There is no error return from this routine because zero is */
          /*   indeed the mathematically correct answer when X1.EQ.X2 . */
          do {
            if ((x_datap)[0+(__inc_x_n*(ib))] == (x_datap)[0+(__inc_x_n*(ia))]) {
              value = 0.; break;
            }
            PDL_Float h = (x_datap)[0+(__inc_x_n*(ia))] - (x_datap)[0+(__inc_x_n*(ib))];
            PDL_Float ta1 = (a - (x_datap)[0+(__inc_x_n*(ib))]) / h;
            PDL_Float ta2 = ((x_datap)[0+(__inc_x_n*(ia))] - a) / h;
            PDL_Float tb1 = (b - (x_datap)[0+(__inc_x_n*(ib))]) / h;
            PDL_Float tb2 = ((x_datap)[0+(__inc_x_n*(ia))] - b) / h;
          /* Computing 3rd power */
            PDL_Float ua1 = ta1 * (ta1 * ta1);
            PDL_Float phia1 = ua1 * (2. - ta1);
            PDL_Float psia1 = ua1 * (3. * ta1 - 4.);
          /* Computing 3rd power */
            PDL_Float ua2 = ta2 * (ta2 * ta2);
            PDL_Float phia2 = ua2 * (2. - ta2);
            PDL_Float psia2 = -ua2 * (3. * ta2 - 4.);
          /* Computing 3rd power */
            PDL_Float ub1 = tb1 * (tb1 * tb1);
            PDL_Float phib1 = ub1 * (2. - tb1);
            PDL_Float psib1 = ub1 * (3. * tb1 - 4.);
          /* Computing 3rd power */
            PDL_Float ub2 = tb2 * (tb2 * tb2);
            PDL_Float phib2 = ub2 * (2. - tb2);
            PDL_Float psib2 = -ub2 * (3. * tb2 - 4.);
            PDL_Float fterm = (f_datap)[0+(__inc_f_n*(ib))] * (phia2 - phib2) + (f_datap)[0+(__inc_f_n*(ia))] * (phib1 - phia1);
            PDL_Float dterm = ((d_datap)[0+(__inc_d_n*(ib))] * (psia2 - psib2) + (d_datap)[0+(__inc_d_n*(ia))] * (psib1 - psia1)) * (h / 6.);
            value = 0.5 * h * (fterm + dterm);
          } while(0)
          ;
          /*            ------------------------------------------- */
              } else {
          /*        FIRST COMPUTE INTEGRAL OVER (X(IA),X(IB)). */
          /*        (Case (IB .EQ. IA) is taken care of by initialization */
          /*         of VALUE to ZERO.) */
                if (ib > ia-1) {
          /*             --------------------------------------------- */

          /*  Programming notes: */
          /*  1. This routine uses a special formula that is valid only for */
          /*   integrals whose limits coincide with data values.  This is */
          /*   mathematically equivalent to, but much more efficient than, */
          /*   calls to DCHFIE. */
          /*  VALIDITY-CHECK ARGUMENTS. */
          do {
            /*  FUNCTION DEFINITION IS OK, GO ON. */
            (skip_datap)[0] = 1;
            if (ia < 0 || ia > __privtrans->ind_sizes[0]-1 || ib < 0 || ib > __privtrans->ind_sizes[0]-1) {
              (ierr_datap)[0] = -4;
              return PDL->make_error(PDL_EUSERERROR, "Error in pchip_chia:" "IA OR IB OUT OF RANGE");
            }
            (ierr_datap)[0] = 0;
            /*  COMPUTE INTEGRAL VALUE. */
            if (ia == ib) { value = 0; continue; }
            PDL_Indx low = PDLMIN(ia,ib), iup = PDLMAX(ia,ib);
            PDL_Float sum = 0.;
            {/* Open n=low:iup */ PDL_EXPAND2(register PDL_Indx n=PDLMAX((low),0), __n_stop=PDLMIN(iup, (__n_size))); for(; n<__n_stop; n+=1) {
                PDL_Float h = (x_datap)[0+(__inc_x_n*(n+1))] - (x_datap)[0+(__inc_x_n*(n))];
                sum += h * ((f_datap)[0+(__inc_f_n*(n))] + (f_datap)[0+(__inc_f_n*(n+1))] + ((d_datap)[0+(__inc_d_n*(n))] - (d_datap)[0+(__inc_d_n*(n+1))]) * (h / 6.));
              }} /* Close n=low:iup */
            value = 0.5 * (ia > ib ? -sum : sum);
          } while(0)
          ;
          /*             --------------------------------------------- */
                }
          /*        THEN ADD ON INTEGRAL OVER (XA,X(IA)). */
                if (xa < (x_datap)[0+(__inc_x_n*(ia))]) {
          /* Computing MAX */
                  il = PDLMAX(0,ia - 1);
                  ir = il + 1;
          /*                 ------------------------------------- */
                  PDL_Float chfie_ans = 0;

          /* ***PURPOSE  Evaluates integral of a single cubic for DPCHIA */
          /*      DCHFIE:  Cubic Hermite Function Integral Evaluator. */
          /*   Called by  DPCHIA  to evaluate the integral of a single cubic (in */
          /*   Hermite form) over an arbitrary interval (A,B). */
          /* ---------------------------------------------------------------------- */
          /*   Parameters: */
          /*   VALUE -- (output) value of the requested integral. */
          /*   X1,X2 -- (input) endpoints if interval of definition of cubic. */
          /*   F1,F2 -- (input) function values at the ends of the interval. */
          /*   D1,D2 -- (input) derivative values at the ends of the interval. */
          /*   A,B -- (input) endpoints of interval of integration. */
          /* ***SEE ALSO  DPCHIA */
          /*  Programming notes: */
          /*  1. There is no error return from this routine because zero is */
          /*   indeed the mathematically correct answer when X1.EQ.X2 . */
          do {
            if ((x_datap)[0+(__inc_x_n*(il))] == (x_datap)[0+(__inc_x_n*(ir))]) {
              chfie_ans = 0.; break;
            }
            PDL_Float h = (x_datap)[0+(__inc_x_n*(ir))] - (x_datap)[0+(__inc_x_n*(il))];
            PDL_Float ta1 = (xa - (x_datap)[0+(__inc_x_n*(il))]) / h;
            PDL_Float ta2 = ((x_datap)[0+(__inc_x_n*(ir))] - xa) / h;
            PDL_Float tb1 = ((x_datap)[0+(__inc_x_n*(ia))] - (x_datap)[0+(__inc_x_n*(il))]) / h;
            PDL_Float tb2 = ((x_datap)[0+(__inc_x_n*(ir))] - (x_datap)[0+(__inc_x_n*(ia))]) / h;
          /* Computing 3rd power */
            PDL_Float ua1 = ta1 * (ta1 * ta1);
            PDL_Float phia1 = ua1 * (2. - ta1);
            PDL_Float psia1 = ua1 * (3. * ta1 - 4.);
          /* Computing 3rd power */
            PDL_Float ua2 = ta2 * (ta2 * ta2);
            PDL_Float phia2 = ua2 * (2. - ta2);
            PDL_Float psia2 = -ua2 * (3. * ta2 - 4.);
          /* Computing 3rd power */
            PDL_Float ub1 = tb1 * (tb1 * tb1);
            PDL_Float phib1 = ub1 * (2. - tb1);
            PDL_Float psib1 = ub1 * (3. * tb1 - 4.);
          /* Computing 3rd power */
            PDL_Float ub2 = tb2 * (tb2 * tb2);
            PDL_Float phib2 = ub2 * (2. - tb2);
            PDL_Float psib2 = -ub2 * (3. * tb2 - 4.);
            PDL_Float fterm = (f_datap)[0+(__inc_f_n*(il))] * (phia2 - phib2) + (f_datap)[0+(__inc_f_n*(ir))] * (phib1 - phia1);
            PDL_Float dterm = ((d_datap)[0+(__inc_d_n*(il))] * (psia2 - psib2) + (d_datap)[0+(__inc_d_n*(ir))] * (psib1 - psia1)) * (h / 6.);
            chfie_ans = 0.5 * h * (fterm + dterm);
          } while(0)
          ;
                  value += chfie_ans;
          /*                 ------------------------------------- */
                }
          /*        THEN ADD ON INTEGRAL OVER (X(IB),XB). */
                if (xb > (x_datap)[0+(__inc_x_n*(ib))]) {
          /* Computing MIN */
                  ir = PDLMIN(ib + 1,n-1);
                  il = ir - 1;
          /*                 ------------------------------------- */
                  PDL_Float chfie_ans = 0;

          /* ***PURPOSE  Evaluates integral of a single cubic for DPCHIA */
          /*      DCHFIE:  Cubic Hermite Function Integral Evaluator. */
          /*   Called by  DPCHIA  to evaluate the integral of a single cubic (in */
          /*   Hermite form) over an arbitrary interval (A,B). */
          /* ---------------------------------------------------------------------- */
          /*   Parameters: */
          /*   VALUE -- (output) value of the requested integral. */
          /*   X1,X2 -- (input) endpoints if interval of definition of cubic. */
          /*   F1,F2 -- (input) function values at the ends of the interval. */
          /*   D1,D2 -- (input) derivative values at the ends of the interval. */
          /*   A,B -- (input) endpoints of interval of integration. */
          /* ***SEE ALSO  DPCHIA */
          /*  Programming notes: */
          /*  1. There is no error return from this routine because zero is */
          /*   indeed the mathematically correct answer when X1.EQ.X2 . */
          do {
            if ((x_datap)[0+(__inc_x_n*(il))] == (x_datap)[0+(__inc_x_n*(ir))]) {
              chfie_ans = 0.; break;
            }
            PDL_Float h = (x_datap)[0+(__inc_x_n*(ir))] - (x_datap)[0+(__inc_x_n*(il))];
            PDL_Float ta1 = ((x_datap)[0+(__inc_x_n*(ib))] - (x_datap)[0+(__inc_x_n*(il))]) / h;
            PDL_Float ta2 = ((x_datap)[0+(__inc_x_n*(ir))] - (x_datap)[0+(__inc_x_n*(ib))]) / h;
            PDL_Float tb1 = (xb - (x_datap)[0+(__inc_x_n*(il))]) / h;
            PDL_Float tb2 = ((x_datap)[0+(__inc_x_n*(ir))] - xb) / h;
          /* Computing 3rd power */
            PDL_Float ua1 = ta1 * (ta1 * ta1);
            PDL_Float phia1 = ua1 * (2. - ta1);
            PDL_Float psia1 = ua1 * (3. * ta1 - 4.);
          /* Computing 3rd power */
            PDL_Float ua2 = ta2 * (ta2 * ta2);
            PDL_Float phia2 = ua2 * (2. - ta2);
            PDL_Float psia2 = -ua2 * (3. * ta2 - 4.);
          /* Computing 3rd power */
            PDL_Float ub1 = tb1 * (tb1 * tb1);
            PDL_Float phib1 = ub1 * (2. - tb1);
            PDL_Float psib1 = ub1 * (3. * tb1 - 4.);
          /* Computing 3rd power */
            PDL_Float ub2 = tb2 * (tb2 * tb2);
            PDL_Float phib2 = ub2 * (2. - tb2);
            PDL_Float psib2 = -ub2 * (3. * tb2 - 4.);
            PDL_Float fterm = (f_datap)[0+(__inc_f_n*(il))] * (phia2 - phib2) + (f_datap)[0+(__inc_f_n*(ir))] * (phib1 - phia1);
            PDL_Float dterm = ((d_datap)[0+(__inc_d_n*(il))] * (psia2 - psib2) + (d_datap)[0+(__inc_d_n*(ir))] * (psib1 - psia1)) * (h / 6.);
            chfie_ans = 0.5 * h * (fterm + dterm);
          } while(0)
          ;
                  value += chfie_ans;
          /*                 ------------------------------------- */
                }
          /*        FINALLY, ADJUST SIGN IF NECESSARY. */
                if (a > b) {
                  value = -value;
                }
              }
            }
          }
          (ans_datap)[0] = value;
          #line 527 "lib/PDL/Primitive-pp-pchip_chia.c"
          }PDL_BROADCASTLOOP_END_pchip_chia_readdata
    } break;
    case PDL_D: {
      PDL_DECLARE_PARAMS_pchip_chia_1(PDL_Double,D,PDL_Indx,N,PDL_Long,L)
      PDL_BROADCASTLOOP_START_pchip_chia_readdata    {
          #line 5694 "lib/PDL/Primitive.pd"
          PDL_Indx ia, ib, il;
          PDL_Double a = (la_datap)[0], b = (lb_datap)[0], xa, xb;
          PDL_Indx ir, n = __privtrans->ind_sizes[0];
          PDL_Double value = 0.;
          if (!(skip_datap)[0]) {
            {/* Open n=1 */ PDL_EXPAND2(register PDL_Indx n=PDLMAX((1),0), __n_stop=(__n_size)); for(; n<__n_stop; n+=1) {
            #line 5700 "lib/PDL/Primitive.pd"
                if ((x_datap)[0+(__inc_x_n*(n))] > (x_datap)[0+(__inc_x_n*(n-1))]) continue;
                (ierr_datap)[0] = -1;
                return PDL->make_error(PDL_EUSERERROR, "Error in pchip_chia:" "X-ARRAY NOT STRICTLY INCREASING");
              }} /* Close n=1 */
          #line 5704 "lib/PDL/Primitive.pd"
          }
          /*  FUNCTION DEFINITION IS OK, GO ON. */
          (skip_datap)[0] = 1;
          (ierr_datap)[0] = 0;
          if (a < (x_datap)[0+(__inc_x_n*(0))] || a > (x_datap)[0+(__inc_x_n*(n-1))]) {
            ++((ierr_datap)[0]);
          }
          if (b < (x_datap)[0+(__inc_x_n*(0))] || b > (x_datap)[0+(__inc_x_n*(n-1))]) {
            (ierr_datap)[0] += 2;
          }
          /*  COMPUTE INTEGRAL VALUE. */
          if (a != b) {
            xa = PDLMIN(a,b);
            xb = PDLMAX(a,b);
            if (xb <= (x_datap)[0+(__inc_x_n*(1))]) {
          /*       INTERVAL IS TO LEFT OF X(2), SO USE FIRST CUBIC. */
          /*           --------------------------------------- */

          /* ***PURPOSE  Evaluates integral of a single cubic for DPCHIA */
          /*      DCHFIE:  Cubic Hermite Function Integral Evaluator. */
          /*   Called by  DPCHIA  to evaluate the integral of a single cubic (in */
          /*   Hermite form) over an arbitrary interval (A,B). */
          /* ---------------------------------------------------------------------- */
          /*   Parameters: */
          /*   VALUE -- (output) value of the requested integral. */
          /*   X1,X2 -- (input) endpoints if interval of definition of cubic. */
          /*   F1,F2 -- (input) function values at the ends of the interval. */
          /*   D1,D2 -- (input) derivative values at the ends of the interval. */
          /*   A,B -- (input) endpoints of interval of integration. */
          /* ***SEE ALSO  DPCHIA */
          /*  Programming notes: */
          /*  1. There is no error return from this routine because zero is */
          /*   indeed the mathematically correct answer when X1.EQ.X2 . */
          do {
            if ((x_datap)[0+(__inc_x_n*(0))] == (x_datap)[0+(__inc_x_n*(1))]) {
              value = 0.; break;
            }
            PDL_Double h = (x_datap)[0+(__inc_x_n*(1))] - (x_datap)[0+(__inc_x_n*(0))];
            PDL_Double ta1 = (a - (x_datap)[0+(__inc_x_n*(0))]) / h;
            PDL_Double ta2 = ((x_datap)[0+(__inc_x_n*(1))] - a) / h;
            PDL_Double tb1 = (b - (x_datap)[0+(__inc_x_n*(0))]) / h;
            PDL_Double tb2 = ((x_datap)[0+(__inc_x_n*(1))] - b) / h;
          /* Computing 3rd power */
            PDL_Double ua1 = ta1 * (ta1 * ta1);
            PDL_Double phia1 = ua1 * (2. - ta1);
            PDL_Double psia1 = ua1 * (3. * ta1 - 4.);
          /* Computing 3rd power */
            PDL_Double ua2 = ta2 * (ta2 * ta2);
            PDL_Double phia2 = ua2 * (2. - ta2);
            PDL_Double psia2 = -ua2 * (3. * ta2 - 4.);
          /* Computing 3rd power */
            PDL_Double ub1 = tb1 * (tb1 * tb1);
            PDL_Double phib1 = ub1 * (2. - tb1);
            PDL_Double psib1 = ub1 * (3. * tb1 - 4.);
          /* Computing 3rd power */
            PDL_Double ub2 = tb2 * (tb2 * tb2);
            PDL_Double phib2 = ub2 * (2. - tb2);
            PDL_Double psib2 = -ub2 * (3. * tb2 - 4.);
            PDL_Double fterm = (f_datap)[0+(__inc_f_n*(0))] * (phia2 - phib2) + (f_datap)[0+(__inc_f_n*(1))] * (phib1 - phia1);
            PDL_Double dterm = ((d_datap)[0+(__inc_d_n*(0))] * (psia2 - psib2) + (d_datap)[0+(__inc_d_n*(1))] * (psib1 - psia1)) * (h / 6.);
            value = 0.5 * h * (fterm + dterm);
          } while(0)
          ;
          /*           --------------------------------------- */
            } else if (xa >= (x_datap)[0+(__inc_x_n*(n-2))]) {
          /*       INTERVAL IS TO RIGHT OF X(N-1), SO USE LAST CUBIC. */
          /*           ------------------------------------------ */

          /* ***PURPOSE  Evaluates integral of a single cubic for DPCHIA */
          /*      DCHFIE:  Cubic Hermite Function Integral Evaluator. */
          /*   Called by  DPCHIA  to evaluate the integral of a single cubic (in */
          /*   Hermite form) over an arbitrary interval (A,B). */
          /* ---------------------------------------------------------------------- */
          /*   Parameters: */
          /*   VALUE -- (output) value of the requested integral. */
          /*   X1,X2 -- (input) endpoints if interval of definition of cubic. */
          /*   F1,F2 -- (input) function values at the ends of the interval. */
          /*   D1,D2 -- (input) derivative values at the ends of the interval. */
          /*   A,B -- (input) endpoints of interval of integration. */
          /* ***SEE ALSO  DPCHIA */
          /*  Programming notes: */
          /*  1. There is no error return from this routine because zero is */
          /*   indeed the mathematically correct answer when X1.EQ.X2 . */
          do {
            if ((x_datap)[0+(__inc_x_n*(n-2))] == (x_datap)[0+(__inc_x_n*(n-1))]) {
              value = 0.; break;
            }
            PDL_Double h = (x_datap)[0+(__inc_x_n*(n-1))] - (x_datap)[0+(__inc_x_n*(n-2))];
            PDL_Double ta1 = (a - (x_datap)[0+(__inc_x_n*(n-2))]) / h;
            PDL_Double ta2 = ((x_datap)[0+(__inc_x_n*(n-1))] - a) / h;
            PDL_Double tb1 = (b - (x_datap)[0+(__inc_x_n*(n-2))]) / h;
            PDL_Double tb2 = ((x_datap)[0+(__inc_x_n*(n-1))] - b) / h;
          /* Computing 3rd power */
            PDL_Double ua1 = ta1 * (ta1 * ta1);
            PDL_Double phia1 = ua1 * (2. - ta1);
            PDL_Double psia1 = ua1 * (3. * ta1 - 4.);
          /* Computing 3rd power */
            PDL_Double ua2 = ta2 * (ta2 * ta2);
            PDL_Double phia2 = ua2 * (2. - ta2);
            PDL_Double psia2 = -ua2 * (3. * ta2 - 4.);
          /* Computing 3rd power */
            PDL_Double ub1 = tb1 * (tb1 * tb1);
            PDL_Double phib1 = ub1 * (2. - tb1);
            PDL_Double psib1 = ub1 * (3. * tb1 - 4.);
          /* Computing 3rd power */
            PDL_Double ub2 = tb2 * (tb2 * tb2);
            PDL_Double phib2 = ub2 * (2. - tb2);
            PDL_Double psib2 = -ub2 * (3. * tb2 - 4.);
            PDL_Double fterm = (f_datap)[0+(__inc_f_n*(n-2))] * (phia2 - phib2) + (f_datap)[0+(__inc_f_n*(n-1))] * (phib1 - phia1);
            PDL_Double dterm = ((d_datap)[0+(__inc_d_n*(n-2))] * (psia2 - psib2) + (d_datap)[0+(__inc_d_n*(n-1))] * (psib1 - psia1)) * (h / 6.);
            value = 0.5 * h * (fterm + dterm);
          } while(0)
          ;
          /*           ------------------------------------------ */
            } else {
          /*       'NORMAL' CASE -- XA.LT.XB, XA.LT.X(N-1), XB.GT.X(2). */
          /*    ......LOCATE IA AND IB SUCH THAT */
          /*         X(IA-1).LT.XA.LE.X(IA).LE.X(IB).LE.XB.LE.X(IB+1) */
              ia = 0;
              {/* Open n=:-1 */ PDL_EXPAND2(register PDL_Indx n=0, __n_stop=(__n_size-1)); for(; n<__n_stop; n+=1) {
            #line 5735 "lib/PDL/Primitive.pd"
                  if (xa > (x_datap)[0+(__inc_x_n*(n))])
                    ia = n + 1;
                }} /* Close n=:-1 */
          #line 5738 "lib/PDL/Primitive.pd"
          /*       IA = 1 IMPLIES XA.LT.X(1) .  OTHERWISE, */
          /*       IA IS LARGEST INDEX SUCH THAT X(IA-1).LT.XA,. */
              ib = n - 1;
              {/* Open n=:ia:-1 */ PDL_EXPAND2(register PDL_Indx n=(__n_size-1), __n_stop=PDLMAX((ia),0)); for(; n>=__n_stop; n+=-1) {
            #line 5742 "lib/PDL/Primitive.pd"
                  if (xb < (x_datap)[0+(__inc_x_n*(n))])
                    ib = n - 1;
                }} /* Close n=:ia:-1 */
          #line 5745 "lib/PDL/Primitive.pd"
          /*       IB = N IMPLIES XB.GT.X(N) .  OTHERWISE, */
          /*       IB IS SMALLEST INDEX SUCH THAT XB.LT.X(IB+1) . */
          /*   ......COMPUTE THE INTEGRAL. */
              if (ib <= ia) {
          /*        THIS MEANS IB = IA-1 AND */
          /*         (A,B) IS A SUBSET OF (X(IB),X(IA)). */
          /*            ------------------------------------------- */

          /* ***PURPOSE  Evaluates integral of a single cubic for DPCHIA */
          /*      DCHFIE:  Cubic Hermite Function Integral Evaluator. */
          /*   Called by  DPCHIA  to evaluate the integral of a single cubic (in */
          /*   Hermite form) over an arbitrary interval (A,B). */
          /* ---------------------------------------------------------------------- */
          /*   Parameters: */
          /*   VALUE -- (output) value of the requested integral. */
          /*   X1,X2 -- (input) endpoints if interval of definition of cubic. */
          /*   F1,F2 -- (input) function values at the ends of the interval. */
          /*   D1,D2 -- (input) derivative values at the ends of the interval. */
          /*   A,B -- (input) endpoints of interval of integration. */
          /* ***SEE ALSO  DPCHIA */
          /*  Programming notes: */
          /*  1. There is no error return from this routine because zero is */
          /*   indeed the mathematically correct answer when X1.EQ.X2 . */
          do {
            if ((x_datap)[0+(__inc_x_n*(ib))] == (x_datap)[0+(__inc_x_n*(ia))]) {
              value = 0.; break;
            }
            PDL_Double h = (x_datap)[0+(__inc_x_n*(ia))] - (x_datap)[0+(__inc_x_n*(ib))];
            PDL_Double ta1 = (a - (x_datap)[0+(__inc_x_n*(ib))]) / h;
            PDL_Double ta2 = ((x_datap)[0+(__inc_x_n*(ia))] - a) / h;
            PDL_Double tb1 = (b - (x_datap)[0+(__inc_x_n*(ib))]) / h;
            PDL_Double tb2 = ((x_datap)[0+(__inc_x_n*(ia))] - b) / h;
          /* Computing 3rd power */
            PDL_Double ua1 = ta1 * (ta1 * ta1);
            PDL_Double phia1 = ua1 * (2. - ta1);
            PDL_Double psia1 = ua1 * (3. * ta1 - 4.);
          /* Computing 3rd power */
            PDL_Double ua2 = ta2 * (ta2 * ta2);
            PDL_Double phia2 = ua2 * (2. - ta2);
            PDL_Double psia2 = -ua2 * (3. * ta2 - 4.);
          /* Computing 3rd power */
            PDL_Double ub1 = tb1 * (tb1 * tb1);
            PDL_Double phib1 = ub1 * (2. - tb1);
            PDL_Double psib1 = ub1 * (3. * tb1 - 4.);
          /* Computing 3rd power */
            PDL_Double ub2 = tb2 * (tb2 * tb2);
            PDL_Double phib2 = ub2 * (2. - tb2);
            PDL_Double psib2 = -ub2 * (3. * tb2 - 4.);
            PDL_Double fterm = (f_datap)[0+(__inc_f_n*(ib))] * (phia2 - phib2) + (f_datap)[0+(__inc_f_n*(ia))] * (phib1 - phia1);
            PDL_Double dterm = ((d_datap)[0+(__inc_d_n*(ib))] * (psia2 - psib2) + (d_datap)[0+(__inc_d_n*(ia))] * (psib1 - psia1)) * (h / 6.);
            value = 0.5 * h * (fterm + dterm);
          } while(0)
          ;
          /*            ------------------------------------------- */
              } else {
          /*        FIRST COMPUTE INTEGRAL OVER (X(IA),X(IB)). */
          /*        (Case (IB .EQ. IA) is taken care of by initialization */
          /*         of VALUE to ZERO.) */
                if (ib > ia-1) {
          /*             --------------------------------------------- */

          /*  Programming notes: */
          /*  1. This routine uses a special formula that is valid only for */
          /*   integrals whose limits coincide with data values.  This is */
          /*   mathematically equivalent to, but much more efficient than, */
          /*   calls to DCHFIE. */
          /*  VALIDITY-CHECK ARGUMENTS. */
          do {
            /*  FUNCTION DEFINITION IS OK, GO ON. */
            (skip_datap)[0] = 1;
            if (ia < 0 || ia > __privtrans->ind_sizes[0]-1 || ib < 0 || ib > __privtrans->ind_sizes[0]-1) {
              (ierr_datap)[0] = -4;
              return PDL->make_error(PDL_EUSERERROR, "Error in pchip_chia:" "IA OR IB OUT OF RANGE");
            }
            (ierr_datap)[0] = 0;
            /*  COMPUTE INTEGRAL VALUE. */
            if (ia == ib) { value = 0; continue; }
            PDL_Indx low = PDLMIN(ia,ib), iup = PDLMAX(ia,ib);
            PDL_Double sum = 0.;
            {/* Open n=low:iup */ PDL_EXPAND2(register PDL_Indx n=PDLMAX((low),0), __n_stop=PDLMIN(iup, (__n_size))); for(; n<__n_stop; n+=1) {
                PDL_Double h = (x_datap)[0+(__inc_x_n*(n+1))] - (x_datap)[0+(__inc_x_n*(n))];
                sum += h * ((f_datap)[0+(__inc_f_n*(n))] + (f_datap)[0+(__inc_f_n*(n+1))] + ((d_datap)[0+(__inc_d_n*(n))] - (d_datap)[0+(__inc_d_n*(n+1))]) * (h / 6.));
              }} /* Close n=low:iup */
            value = 0.5 * (ia > ib ? -sum : sum);
          } while(0)
          ;
          /*             --------------------------------------------- */
                }
          /*        THEN ADD ON INTEGRAL OVER (XA,X(IA)). */
                if (xa < (x_datap)[0+(__inc_x_n*(ia))]) {
          /* Computing MAX */
                  il = PDLMAX(0,ia - 1);
                  ir = il + 1;
          /*                 ------------------------------------- */
                  PDL_Double chfie_ans = 0;

          /* ***PURPOSE  Evaluates integral of a single cubic for DPCHIA */
          /*      DCHFIE:  Cubic Hermite Function Integral Evaluator. */
          /*   Called by  DPCHIA  to evaluate the integral of a single cubic (in */
          /*   Hermite form) over an arbitrary interval (A,B). */
          /* ---------------------------------------------------------------------- */
          /*   Parameters: */
          /*   VALUE -- (output) value of the requested integral. */
          /*   X1,X2 -- (input) endpoints if interval of definition of cubic. */
          /*   F1,F2 -- (input) function values at the ends of the interval. */
          /*   D1,D2 -- (input) derivative values at the ends of the interval. */
          /*   A,B -- (input) endpoints of interval of integration. */
          /* ***SEE ALSO  DPCHIA */
          /*  Programming notes: */
          /*  1. There is no error return from this routine because zero is */
          /*   indeed the mathematically correct answer when X1.EQ.X2 . */
          do {
            if ((x_datap)[0+(__inc_x_n*(il))] == (x_datap)[0+(__inc_x_n*(ir))]) {
              chfie_ans = 0.; break;
            }
            PDL_Double h = (x_datap)[0+(__inc_x_n*(ir))] - (x_datap)[0+(__inc_x_n*(il))];
            PDL_Double ta1 = (xa - (x_datap)[0+(__inc_x_n*(il))]) / h;
            PDL_Double ta2 = ((x_datap)[0+(__inc_x_n*(ir))] - xa) / h;
            PDL_Double tb1 = ((x_datap)[0+(__inc_x_n*(ia))] - (x_datap)[0+(__inc_x_n*(il))]) / h;
            PDL_Double tb2 = ((x_datap)[0+(__inc_x_n*(ir))] - (x_datap)[0+(__inc_x_n*(ia))]) / h;
          /* Computing 3rd power */
            PDL_Double ua1 = ta1 * (ta1 * ta1);
            PDL_Double phia1 = ua1 * (2. - ta1);
            PDL_Double psia1 = ua1 * (3. * ta1 - 4.);
          /* Computing 3rd power */
            PDL_Double ua2 = ta2 * (ta2 * ta2);
            PDL_Double phia2 = ua2 * (2. - ta2);
            PDL_Double psia2 = -ua2 * (3. * ta2 - 4.);
          /* Computing 3rd power */
            PDL_Double ub1 = tb1 * (tb1 * tb1);
            PDL_Double phib1 = ub1 * (2. - tb1);
            PDL_Double psib1 = ub1 * (3. * tb1 - 4.);
          /* Computing 3rd power */
            PDL_Double ub2 = tb2 * (tb2 * tb2);
            PDL_Double phib2 = ub2 * (2. - tb2);
            PDL_Double psib2 = -ub2 * (3. * tb2 - 4.);
            PDL_Double fterm = (f_datap)[0+(__inc_f_n*(il))] * (phia2 - phib2) + (f_datap)[0+(__inc_f_n*(ir))] * (phib1 - phia1);
            PDL_Double dterm = ((d_datap)[0+(__inc_d_n*(il))] * (psia2 - psib2) + (d_datap)[0+(__inc_d_n*(ir))] * (psib1 - psia1)) * (h / 6.);
            chfie_ans = 0.5 * h * (fterm + dterm);
          } while(0)
          ;
                  value += chfie_ans;
          /*                 ------------------------------------- */
                }
          /*        THEN ADD ON INTEGRAL OVER (X(IB),XB). */
                if (xb > (x_datap)[0+(__inc_x_n*(ib))]) {
          /* Computing MIN */
                  ir = PDLMIN(ib + 1,n-1);
                  il = ir - 1;
          /*                 ------------------------------------- */
                  PDL_Double chfie_ans = 0;

          /* ***PURPOSE  Evaluates integral of a single cubic for DPCHIA */
          /*      DCHFIE:  Cubic Hermite Function Integral Evaluator. */
          /*   Called by  DPCHIA  to evaluate the integral of a single cubic (in */
          /*   Hermite form) over an arbitrary interval (A,B). */
          /* ---------------------------------------------------------------------- */
          /*   Parameters: */
          /*   VALUE -- (output) value of the requested integral. */
          /*   X1,X2 -- (input) endpoints if interval of definition of cubic. */
          /*   F1,F2 -- (input) function values at the ends of the interval. */
          /*   D1,D2 -- (input) derivative values at the ends of the interval. */
          /*   A,B -- (input) endpoints of interval of integration. */
          /* ***SEE ALSO  DPCHIA */
          /*  Programming notes: */
          /*  1. There is no error return from this routine because zero is */
          /*   indeed the mathematically correct answer when X1.EQ.X2 . */
          do {
            if ((x_datap)[0+(__inc_x_n*(il))] == (x_datap)[0+(__inc_x_n*(ir))]) {
              chfie_ans = 0.; break;
            }
            PDL_Double h = (x_datap)[0+(__inc_x_n*(ir))] - (x_datap)[0+(__inc_x_n*(il))];
            PDL_Double ta1 = ((x_datap)[0+(__inc_x_n*(ib))] - (x_datap)[0+(__inc_x_n*(il))]) / h;
            PDL_Double ta2 = ((x_datap)[0+(__inc_x_n*(ir))] - (x_datap)[0+(__inc_x_n*(ib))]) / h;
            PDL_Double tb1 = (xb - (x_datap)[0+(__inc_x_n*(il))]) / h;
            PDL_Double tb2 = ((x_datap)[0+(__inc_x_n*(ir))] - xb) / h;
          /* Computing 3rd power */
            PDL_Double ua1 = ta1 * (ta1 * ta1);
            PDL_Double phia1 = ua1 * (2. - ta1);
            PDL_Double psia1 = ua1 * (3. * ta1 - 4.);
          /* Computing 3rd power */
            PDL_Double ua2 = ta2 * (ta2 * ta2);
            PDL_Double phia2 = ua2 * (2. - ta2);
            PDL_Double psia2 = -ua2 * (3. * ta2 - 4.);
          /* Computing 3rd power */
            PDL_Double ub1 = tb1 * (tb1 * tb1);
            PDL_Double phib1 = ub1 * (2. - tb1);
            PDL_Double psib1 = ub1 * (3. * tb1 - 4.);
          /* Computing 3rd power */
            PDL_Double ub2 = tb2 * (tb2 * tb2);
            PDL_Double phib2 = ub2 * (2. - tb2);
            PDL_Double psib2 = -ub2 * (3. * tb2 - 4.);
            PDL_Double fterm = (f_datap)[0+(__inc_f_n*(il))] * (phia2 - phib2) + (f_datap)[0+(__inc_f_n*(ir))] * (phib1 - phia1);
            PDL_Double dterm = ((d_datap)[0+(__inc_d_n*(il))] * (psia2 - psib2) + (d_datap)[0+(__inc_d_n*(ir))] * (psib1 - psia1)) * (h / 6.);
            chfie_ans = 0.5 * h * (fterm + dterm);
          } while(0)
          ;
                  value += chfie_ans;
          /*                 ------------------------------------- */
                }
          /*        FINALLY, ADJUST SIGN IF NECESSARY. */
                if (a > b) {
                  value = -value;
                }
              }
            }
          }
          (ans_datap)[0] = value;
          #line 888 "lib/PDL/Primitive-pp-pchip_chia.c"
          }PDL_BROADCASTLOOP_END_pchip_chia_readdata
    } break;
    case PDL_LD: {
      PDL_DECLARE_PARAMS_pchip_chia_1(PDL_LDouble,E,PDL_Indx,N,PDL_Long,L)
      PDL_BROADCASTLOOP_START_pchip_chia_readdata    {
          #line 5694 "lib/PDL/Primitive.pd"
          PDL_Indx ia, ib, il;
          PDL_LDouble a = (la_datap)[0], b = (lb_datap)[0], xa, xb;
          PDL_Indx ir, n = __privtrans->ind_sizes[0];
          PDL_LDouble value = 0.;
          if (!(skip_datap)[0]) {
            {/* Open n=1 */ PDL_EXPAND2(register PDL_Indx n=PDLMAX((1),0), __n_stop=(__n_size)); for(; n<__n_stop; n+=1) {
            #line 5700 "lib/PDL/Primitive.pd"
                if ((x_datap)[0+(__inc_x_n*(n))] > (x_datap)[0+(__inc_x_n*(n-1))]) continue;
                (ierr_datap)[0] = -1;
                return PDL->make_error(PDL_EUSERERROR, "Error in pchip_chia:" "X-ARRAY NOT STRICTLY INCREASING");
              }} /* Close n=1 */
          #line 5704 "lib/PDL/Primitive.pd"
          }
          /*  FUNCTION DEFINITION IS OK, GO ON. */
          (skip_datap)[0] = 1;
          (ierr_datap)[0] = 0;
          if (a < (x_datap)[0+(__inc_x_n*(0))] || a > (x_datap)[0+(__inc_x_n*(n-1))]) {
            ++((ierr_datap)[0]);
          }
          if (b < (x_datap)[0+(__inc_x_n*(0))] || b > (x_datap)[0+(__inc_x_n*(n-1))]) {
            (ierr_datap)[0] += 2;
          }
          /*  COMPUTE INTEGRAL VALUE. */
          if (a != b) {
            xa = PDLMIN(a,b);
            xb = PDLMAX(a,b);
            if (xb <= (x_datap)[0+(__inc_x_n*(1))]) {
          /*       INTERVAL IS TO LEFT OF X(2), SO USE FIRST CUBIC. */
          /*           --------------------------------------- */

          /* ***PURPOSE  Evaluates integral of a single cubic for DPCHIA */
          /*      DCHFIE:  Cubic Hermite Function Integral Evaluator. */
          /*   Called by  DPCHIA  to evaluate the integral of a single cubic (in */
          /*   Hermite form) over an arbitrary interval (A,B). */
          /* ---------------------------------------------------------------------- */
          /*   Parameters: */
          /*   VALUE -- (output) value of the requested integral. */
          /*   X1,X2 -- (input) endpoints if interval of definition of cubic. */
          /*   F1,F2 -- (input) function values at the ends of the interval. */
          /*   D1,D2 -- (input) derivative values at the ends of the interval. */
          /*   A,B -- (input) endpoints of interval of integration. */
          /* ***SEE ALSO  DPCHIA */
          /*  Programming notes: */
          /*  1. There is no error return from this routine because zero is */
          /*   indeed the mathematically correct answer when X1.EQ.X2 . */
          do {
            if ((x_datap)[0+(__inc_x_n*(0))] == (x_datap)[0+(__inc_x_n*(1))]) {
              value = 0.; break;
            }
            PDL_LDouble h = (x_datap)[0+(__inc_x_n*(1))] - (x_datap)[0+(__inc_x_n*(0))];
            PDL_LDouble ta1 = (a - (x_datap)[0+(__inc_x_n*(0))]) / h;
            PDL_LDouble ta2 = ((x_datap)[0+(__inc_x_n*(1))] - a) / h;
            PDL_LDouble tb1 = (b - (x_datap)[0+(__inc_x_n*(0))]) / h;
            PDL_LDouble tb2 = ((x_datap)[0+(__inc_x_n*(1))] - b) / h;
          /* Computing 3rd power */
            PDL_LDouble ua1 = ta1 * (ta1 * ta1);
            PDL_LDouble phia1 = ua1 * (2. - ta1);
            PDL_LDouble psia1 = ua1 * (3. * ta1 - 4.);
          /* Computing 3rd power */
            PDL_LDouble ua2 = ta2 * (ta2 * ta2);
            PDL_LDouble phia2 = ua2 * (2. - ta2);
            PDL_LDouble psia2 = -ua2 * (3. * ta2 - 4.);
          /* Computing 3rd power */
            PDL_LDouble ub1 = tb1 * (tb1 * tb1);
            PDL_LDouble phib1 = ub1 * (2. - tb1);
            PDL_LDouble psib1 = ub1 * (3. * tb1 - 4.);
          /* Computing 3rd power */
            PDL_LDouble ub2 = tb2 * (tb2 * tb2);
            PDL_LDouble phib2 = ub2 * (2. - tb2);
            PDL_LDouble psib2 = -ub2 * (3. * tb2 - 4.);
            PDL_LDouble fterm = (f_datap)[0+(__inc_f_n*(0))] * (phia2 - phib2) + (f_datap)[0+(__inc_f_n*(1))] * (phib1 - phia1);
            PDL_LDouble dterm = ((d_datap)[0+(__inc_d_n*(0))] * (psia2 - psib2) + (d_datap)[0+(__inc_d_n*(1))] * (psib1 - psia1)) * (h / 6.);
            value = 0.5 * h * (fterm + dterm);
          } while(0)
          ;
          /*           --------------------------------------- */
            } else if (xa >= (x_datap)[0+(__inc_x_n*(n-2))]) {
          /*       INTERVAL IS TO RIGHT OF X(N-1), SO USE LAST CUBIC. */
          /*           ------------------------------------------ */

          /* ***PURPOSE  Evaluates integral of a single cubic for DPCHIA */
          /*      DCHFIE:  Cubic Hermite Function Integral Evaluator. */
          /*   Called by  DPCHIA  to evaluate the integral of a single cubic (in */
          /*   Hermite form) over an arbitrary interval (A,B). */
          /* ---------------------------------------------------------------------- */
          /*   Parameters: */
          /*   VALUE -- (output) value of the requested integral. */
          /*   X1,X2 -- (input) endpoints if interval of definition of cubic. */
          /*   F1,F2 -- (input) function values at the ends of the interval. */
          /*   D1,D2 -- (input) derivative values at the ends of the interval. */
          /*   A,B -- (input) endpoints of interval of integration. */
          /* ***SEE ALSO  DPCHIA */
          /*  Programming notes: */
          /*  1. There is no error return from this routine because zero is */
          /*   indeed the mathematically correct answer when X1.EQ.X2 . */
          do {
            if ((x_datap)[0+(__inc_x_n*(n-2))] == (x_datap)[0+(__inc_x_n*(n-1))]) {
              value = 0.; break;
            }
            PDL_LDouble h = (x_datap)[0+(__inc_x_n*(n-1))] - (x_datap)[0+(__inc_x_n*(n-2))];
            PDL_LDouble ta1 = (a - (x_datap)[0+(__inc_x_n*(n-2))]) / h;
            PDL_LDouble ta2 = ((x_datap)[0+(__inc_x_n*(n-1))] - a) / h;
            PDL_LDouble tb1 = (b - (x_datap)[0+(__inc_x_n*(n-2))]) / h;
            PDL_LDouble tb2 = ((x_datap)[0+(__inc_x_n*(n-1))] - b) / h;
          /* Computing 3rd power */
            PDL_LDouble ua1 = ta1 * (ta1 * ta1);
            PDL_LDouble phia1 = ua1 * (2. - ta1);
            PDL_LDouble psia1 = ua1 * (3. * ta1 - 4.);
          /* Computing 3rd power */
            PDL_LDouble ua2 = ta2 * (ta2 * ta2);
            PDL_LDouble phia2 = ua2 * (2. - ta2);
            PDL_LDouble psia2 = -ua2 * (3. * ta2 - 4.);
          /* Computing 3rd power */
            PDL_LDouble ub1 = tb1 * (tb1 * tb1);
            PDL_LDouble phib1 = ub1 * (2. - tb1);
            PDL_LDouble psib1 = ub1 * (3. * tb1 - 4.);
          /* Computing 3rd power */
            PDL_LDouble ub2 = tb2 * (tb2 * tb2);
            PDL_LDouble phib2 = ub2 * (2. - tb2);
            PDL_LDouble psib2 = -ub2 * (3. * tb2 - 4.);
            PDL_LDouble fterm = (f_datap)[0+(__inc_f_n*(n-2))] * (phia2 - phib2) + (f_datap)[0+(__inc_f_n*(n-1))] * (phib1 - phia1);
            PDL_LDouble dterm = ((d_datap)[0+(__inc_d_n*(n-2))] * (psia2 - psib2) + (d_datap)[0+(__inc_d_n*(n-1))] * (psib1 - psia1)) * (h / 6.);
            value = 0.5 * h * (fterm + dterm);
          } while(0)
          ;
          /*           ------------------------------------------ */
            } else {
          /*       'NORMAL' CASE -- XA.LT.XB, XA.LT.X(N-1), XB.GT.X(2). */
          /*    ......LOCATE IA AND IB SUCH THAT */
          /*         X(IA-1).LT.XA.LE.X(IA).LE.X(IB).LE.XB.LE.X(IB+1) */
              ia = 0;
              {/* Open n=:-1 */ PDL_EXPAND2(register PDL_Indx n=0, __n_stop=(__n_size-1)); for(; n<__n_stop; n+=1) {
            #line 5735 "lib/PDL/Primitive.pd"
                  if (xa > (x_datap)[0+(__inc_x_n*(n))])
                    ia = n + 1;
                }} /* Close n=:-1 */
          #line 5738 "lib/PDL/Primitive.pd"
          /*       IA = 1 IMPLIES XA.LT.X(1) .  OTHERWISE, */
          /*       IA IS LARGEST INDEX SUCH THAT X(IA-1).LT.XA,. */
              ib = n - 1;
              {/* Open n=:ia:-1 */ PDL_EXPAND2(register PDL_Indx n=(__n_size-1), __n_stop=PDLMAX((ia),0)); for(; n>=__n_stop; n+=-1) {
            #line 5742 "lib/PDL/Primitive.pd"
                  if (xb < (x_datap)[0+(__inc_x_n*(n))])
                    ib = n - 1;
                }} /* Close n=:ia:-1 */
          #line 5745 "lib/PDL/Primitive.pd"
          /*       IB = N IMPLIES XB.GT.X(N) .  OTHERWISE, */
          /*       IB IS SMALLEST INDEX SUCH THAT XB.LT.X(IB+1) . */
          /*   ......COMPUTE THE INTEGRAL. */
              if (ib <= ia) {
          /*        THIS MEANS IB = IA-1 AND */
          /*         (A,B) IS A SUBSET OF (X(IB),X(IA)). */
          /*            ------------------------------------------- */

          /* ***PURPOSE  Evaluates integral of a single cubic for DPCHIA */
          /*      DCHFIE:  Cubic Hermite Function Integral Evaluator. */
          /*   Called by  DPCHIA  to evaluate the integral of a single cubic (in */
          /*   Hermite form) over an arbitrary interval (A,B). */
          /* ---------------------------------------------------------------------- */
          /*   Parameters: */
          /*   VALUE -- (output) value of the requested integral. */
          /*   X1,X2 -- (input) endpoints if interval of definition of cubic. */
          /*   F1,F2 -- (input) function values at the ends of the interval. */
          /*   D1,D2 -- (input) derivative values at the ends of the interval. */
          /*   A,B -- (input) endpoints of interval of integration. */
          /* ***SEE ALSO  DPCHIA */
          /*  Programming notes: */
          /*  1. There is no error return from this routine because zero is */
          /*   indeed the mathematically correct answer when X1.EQ.X2 . */
          do {
            if ((x_datap)[0+(__inc_x_n*(ib))] == (x_datap)[0+(__inc_x_n*(ia))]) {
              value = 0.; break;
            }
            PDL_LDouble h = (x_datap)[0+(__inc_x_n*(ia))] - (x_datap)[0+(__inc_x_n*(ib))];
            PDL_LDouble ta1 = (a - (x_datap)[0+(__inc_x_n*(ib))]) / h;
            PDL_LDouble ta2 = ((x_datap)[0+(__inc_x_n*(ia))] - a) / h;
            PDL_LDouble tb1 = (b - (x_datap)[0+(__inc_x_n*(ib))]) / h;
            PDL_LDouble tb2 = ((x_datap)[0+(__inc_x_n*(ia))] - b) / h;
          /* Computing 3rd power */
            PDL_LDouble ua1 = ta1 * (ta1 * ta1);
            PDL_LDouble phia1 = ua1 * (2. - ta1);
            PDL_LDouble psia1 = ua1 * (3. * ta1 - 4.);
          /* Computing 3rd power */
            PDL_LDouble ua2 = ta2 * (ta2 * ta2);
            PDL_LDouble phia2 = ua2 * (2. - ta2);
            PDL_LDouble psia2 = -ua2 * (3. * ta2 - 4.);
          /* Computing 3rd power */
            PDL_LDouble ub1 = tb1 * (tb1 * tb1);
            PDL_LDouble phib1 = ub1 * (2. - tb1);
            PDL_LDouble psib1 = ub1 * (3. * tb1 - 4.);
          /* Computing 3rd power */
            PDL_LDouble ub2 = tb2 * (tb2 * tb2);
            PDL_LDouble phib2 = ub2 * (2. - tb2);
            PDL_LDouble psib2 = -ub2 * (3. * tb2 - 4.);
            PDL_LDouble fterm = (f_datap)[0+(__inc_f_n*(ib))] * (phia2 - phib2) + (f_datap)[0+(__inc_f_n*(ia))] * (phib1 - phia1);
            PDL_LDouble dterm = ((d_datap)[0+(__inc_d_n*(ib))] * (psia2 - psib2) + (d_datap)[0+(__inc_d_n*(ia))] * (psib1 - psia1)) * (h / 6.);
            value = 0.5 * h * (fterm + dterm);
          } while(0)
          ;
          /*            ------------------------------------------- */
              } else {
          /*        FIRST COMPUTE INTEGRAL OVER (X(IA),X(IB)). */
          /*        (Case (IB .EQ. IA) is taken care of by initialization */
          /*         of VALUE to ZERO.) */
                if (ib > ia-1) {
          /*             --------------------------------------------- */

          /*  Programming notes: */
          /*  1. This routine uses a special formula that is valid only for */
          /*   integrals whose limits coincide with data values.  This is */
          /*   mathematically equivalent to, but much more efficient than, */
          /*   calls to DCHFIE. */
          /*  VALIDITY-CHECK ARGUMENTS. */
          do {
            /*  FUNCTION DEFINITION IS OK, GO ON. */
            (skip_datap)[0] = 1;
            if (ia < 0 || ia > __privtrans->ind_sizes[0]-1 || ib < 0 || ib > __privtrans->ind_sizes[0]-1) {
              (ierr_datap)[0] = -4;
              return PDL->make_error(PDL_EUSERERROR, "Error in pchip_chia:" "IA OR IB OUT OF RANGE");
            }
            (ierr_datap)[0] = 0;
            /*  COMPUTE INTEGRAL VALUE. */
            if (ia == ib) { value = 0; continue; }
            PDL_Indx low = PDLMIN(ia,ib), iup = PDLMAX(ia,ib);
            PDL_LDouble sum = 0.;
            {/* Open n=low:iup */ PDL_EXPAND2(register PDL_Indx n=PDLMAX((low),0), __n_stop=PDLMIN(iup, (__n_size))); for(; n<__n_stop; n+=1) {
                PDL_LDouble h = (x_datap)[0+(__inc_x_n*(n+1))] - (x_datap)[0+(__inc_x_n*(n))];
                sum += h * ((f_datap)[0+(__inc_f_n*(n))] + (f_datap)[0+(__inc_f_n*(n+1))] + ((d_datap)[0+(__inc_d_n*(n))] - (d_datap)[0+(__inc_d_n*(n+1))]) * (h / 6.));
              }} /* Close n=low:iup */
            value = 0.5 * (ia > ib ? -sum : sum);
          } while(0)
          ;
          /*             --------------------------------------------- */
                }
          /*        THEN ADD ON INTEGRAL OVER (XA,X(IA)). */
                if (xa < (x_datap)[0+(__inc_x_n*(ia))]) {
          /* Computing MAX */
                  il = PDLMAX(0,ia - 1);
                  ir = il + 1;
          /*                 ------------------------------------- */
                  PDL_LDouble chfie_ans = 0;

          /* ***PURPOSE  Evaluates integral of a single cubic for DPCHIA */
          /*      DCHFIE:  Cubic Hermite Function Integral Evaluator. */
          /*   Called by  DPCHIA  to evaluate the integral of a single cubic (in */
          /*   Hermite form) over an arbitrary interval (A,B). */
          /* ---------------------------------------------------------------------- */
          /*   Parameters: */
          /*   VALUE -- (output) value of the requested integral. */
          /*   X1,X2 -- (input) endpoints if interval of definition of cubic. */
          /*   F1,F2 -- (input) function values at the ends of the interval. */
          /*   D1,D2 -- (input) derivative values at the ends of the interval. */
          /*   A,B -- (input) endpoints of interval of integration. */
          /* ***SEE ALSO  DPCHIA */
          /*  Programming notes: */
          /*  1. There is no error return from this routine because zero is */
          /*   indeed the mathematically correct answer when X1.EQ.X2 . */
          do {
            if ((x_datap)[0+(__inc_x_n*(il))] == (x_datap)[0+(__inc_x_n*(ir))]) {
              chfie_ans = 0.; break;
            }
            PDL_LDouble h = (x_datap)[0+(__inc_x_n*(ir))] - (x_datap)[0+(__inc_x_n*(il))];
            PDL_LDouble ta1 = (xa - (x_datap)[0+(__inc_x_n*(il))]) / h;
            PDL_LDouble ta2 = ((x_datap)[0+(__inc_x_n*(ir))] - xa) / h;
            PDL_LDouble tb1 = ((x_datap)[0+(__inc_x_n*(ia))] - (x_datap)[0+(__inc_x_n*(il))]) / h;
            PDL_LDouble tb2 = ((x_datap)[0+(__inc_x_n*(ir))] - (x_datap)[0+(__inc_x_n*(ia))]) / h;
          /* Computing 3rd power */
            PDL_LDouble ua1 = ta1 * (ta1 * ta1);
            PDL_LDouble phia1 = ua1 * (2. - ta1);
            PDL_LDouble psia1 = ua1 * (3. * ta1 - 4.);
          /* Computing 3rd power */
            PDL_LDouble ua2 = ta2 * (ta2 * ta2);
            PDL_LDouble phia2 = ua2 * (2. - ta2);
            PDL_LDouble psia2 = -ua2 * (3. * ta2 - 4.);
          /* Computing 3rd power */
            PDL_LDouble ub1 = tb1 * (tb1 * tb1);
            PDL_LDouble phib1 = ub1 * (2. - tb1);
            PDL_LDouble psib1 = ub1 * (3. * tb1 - 4.);
          /* Computing 3rd power */
            PDL_LDouble ub2 = tb2 * (tb2 * tb2);
            PDL_LDouble phib2 = ub2 * (2. - tb2);
            PDL_LDouble psib2 = -ub2 * (3. * tb2 - 4.);
            PDL_LDouble fterm = (f_datap)[0+(__inc_f_n*(il))] * (phia2 - phib2) + (f_datap)[0+(__inc_f_n*(ir))] * (phib1 - phia1);
            PDL_LDouble dterm = ((d_datap)[0+(__inc_d_n*(il))] * (psia2 - psib2) + (d_datap)[0+(__inc_d_n*(ir))] * (psib1 - psia1)) * (h / 6.);
            chfie_ans = 0.5 * h * (fterm + dterm);
          } while(0)
          ;
                  value += chfie_ans;
          /*                 ------------------------------------- */
                }
          /*        THEN ADD ON INTEGRAL OVER (X(IB),XB). */
                if (xb > (x_datap)[0+(__inc_x_n*(ib))]) {
          /* Computing MIN */
                  ir = PDLMIN(ib + 1,n-1);
                  il = ir - 1;
          /*                 ------------------------------------- */
                  PDL_LDouble chfie_ans = 0;

          /* ***PURPOSE  Evaluates integral of a single cubic for DPCHIA */
          /*      DCHFIE:  Cubic Hermite Function Integral Evaluator. */
          /*   Called by  DPCHIA  to evaluate the integral of a single cubic (in */
          /*   Hermite form) over an arbitrary interval (A,B). */
          /* ---------------------------------------------------------------------- */
          /*   Parameters: */
          /*   VALUE -- (output) value of the requested integral. */
          /*   X1,X2 -- (input) endpoints if interval of definition of cubic. */
          /*   F1,F2 -- (input) function values at the ends of the interval. */
          /*   D1,D2 -- (input) derivative values at the ends of the interval. */
          /*   A,B -- (input) endpoints of interval of integration. */
          /* ***SEE ALSO  DPCHIA */
          /*  Programming notes: */
          /*  1. There is no error return from this routine because zero is */
          /*   indeed the mathematically correct answer when X1.EQ.X2 . */
          do {
            if ((x_datap)[0+(__inc_x_n*(il))] == (x_datap)[0+(__inc_x_n*(ir))]) {
              chfie_ans = 0.; break;
            }
            PDL_LDouble h = (x_datap)[0+(__inc_x_n*(ir))] - (x_datap)[0+(__inc_x_n*(il))];
            PDL_LDouble ta1 = ((x_datap)[0+(__inc_x_n*(ib))] - (x_datap)[0+(__inc_x_n*(il))]) / h;
            PDL_LDouble ta2 = ((x_datap)[0+(__inc_x_n*(ir))] - (x_datap)[0+(__inc_x_n*(ib))]) / h;
            PDL_LDouble tb1 = (xb - (x_datap)[0+(__inc_x_n*(il))]) / h;
            PDL_LDouble tb2 = ((x_datap)[0+(__inc_x_n*(ir))] - xb) / h;
          /* Computing 3rd power */
            PDL_LDouble ua1 = ta1 * (ta1 * ta1);
            PDL_LDouble phia1 = ua1 * (2. - ta1);
            PDL_LDouble psia1 = ua1 * (3. * ta1 - 4.);
          /* Computing 3rd power */
            PDL_LDouble ua2 = ta2 * (ta2 * ta2);
            PDL_LDouble phia2 = ua2 * (2. - ta2);
            PDL_LDouble psia2 = -ua2 * (3. * ta2 - 4.);
          /* Computing 3rd power */
            PDL_LDouble ub1 = tb1 * (tb1 * tb1);
            PDL_LDouble phib1 = ub1 * (2. - tb1);
            PDL_LDouble psib1 = ub1 * (3. * tb1 - 4.);
          /* Computing 3rd power */
            PDL_LDouble ub2 = tb2 * (tb2 * tb2);
            PDL_LDouble phib2 = ub2 * (2. - tb2);
            PDL_LDouble psib2 = -ub2 * (3. * tb2 - 4.);
            PDL_LDouble fterm = (f_datap)[0+(__inc_f_n*(il))] * (phia2 - phib2) + (f_datap)[0+(__inc_f_n*(ir))] * (phib1 - phia1);
            PDL_LDouble dterm = ((d_datap)[0+(__inc_d_n*(il))] * (psia2 - psib2) + (d_datap)[0+(__inc_d_n*(ir))] * (psib1 - psia1)) * (h / 6.);
            chfie_ans = 0.5 * h * (fterm + dterm);
          } while(0)
          ;
                  value += chfie_ans;
          /*                 ------------------------------------- */
                }
          /*        FINALLY, ADJUST SIGN IF NECESSARY. */
                if (a > b) {
                  value = -value;
                }
              }
            }
          }
          (ans_datap)[0] = value;
          #line 1249 "lib/PDL/Primitive-pp-pchip_chia.c"
          }PDL_BROADCASTLOOP_END_pchip_chia_readdata
    } break;
    default: return PDL->make_error(PDL_EUSERERROR, "PP INTERNAL ERROR in pchip_chia: unhandled datatype(%d), only handles (FDE)! PLEASE MAKE A BUG REPORT\n", __privtrans->__datatype);
  }
  #undef PDL_IF_BAD
  return PDL_err;
}

static pdl_datatypes pdl_pchip_chia_vtable_gentypes[] = { PDL_F, PDL_D, PDL_LD, -1 };
static PDL_Indx pdl_pchip_chia_vtable_realdims[] = { 1, 1, 1, 0, 0, 0, 0, 0 };
static char *pdl_pchip_chia_vtable_parnames[] = { "x","f","d","la","lb","ans","ierr","skip" };
static short pdl_pchip_chia_vtable_parflags[] = {
  0,
  0,
  0,
  0,
  0,
  PDL_PARAM_ISCREAT|PDL_PARAM_ISOUT|PDL_PARAM_ISWRITE,
  PDL_PARAM_ISCREAT|PDL_PARAM_ISOUT|PDL_PARAM_ISTYPED|PDL_PARAM_ISWRITE,
  PDL_PARAM_ISCREAT|PDL_PARAM_ISOUT|PDL_PARAM_ISTYPED|PDL_PARAM_ISWRITE
};
static pdl_datatypes pdl_pchip_chia_vtable_partypes[] = { -1, -1, -1, -1, -1, -1, PDL_IND, PDL_L };
static PDL_Indx pdl_pchip_chia_vtable_realdims_starts[] = { 0, 1, 2, 3, 3, 3, 3, 3 };
static PDL_Indx pdl_pchip_chia_vtable_realdims_ind_ids[] = { 0, 0, 0 };
static char *pdl_pchip_chia_vtable_indnames[] = { "n" };
pdl_transvtable pdl_pchip_chia_vtable = {
  PDL_TRANS_DO_BROADCAST, 0, pdl_pchip_chia_vtable_gentypes, 5, 8, NULL /*CORE21*/,
  pdl_pchip_chia_vtable_realdims, pdl_pchip_chia_vtable_parnames,
  pdl_pchip_chia_vtable_parflags, pdl_pchip_chia_vtable_partypes,
  pdl_pchip_chia_vtable_realdims_starts, pdl_pchip_chia_vtable_realdims_ind_ids, 3,
  1, pdl_pchip_chia_vtable_indnames,
  pdl_pchip_chia_redodims, pdl_pchip_chia_readdata, NULL,
  NULL,
  0,"PDL::Primitive::pchip_chia"
};


pdl_error pdl_run_pchip_chia(pdl  *x,pdl  *f,pdl  *d,pdl  *la,pdl  *lb,pdl  *ans,pdl  *ierr,pdl  *skip) {
  pdl_error PDL_err = {0, NULL, 0};
  if (!PDL) return (pdl_error){PDL_EFATAL, "PDL core struct is NULL, can't continue",0};
  pdl_trans *__privtrans = PDL->create_trans(&pdl_pchip_chia_vtable);
  if (!__privtrans) return PDL->make_error_simple(PDL_EFATAL, "Couldn't create trans");
  __privtrans->pdls[0] = x;
  __privtrans->pdls[1] = f;
  __privtrans->pdls[2] = d;
  __privtrans->pdls[3] = la;
  __privtrans->pdls[4] = lb;
  __privtrans->pdls[5] = ans;
  __privtrans->pdls[6] = ierr;
  __privtrans->pdls[7] = skip;
  PDL_RETERROR(PDL_err, PDL->type_coerce(__privtrans));
  PDL_RETERROR(PDL_err, PDL->make_trans_mutual(__privtrans));
  return PDL_err;
}