LCOV - code coverage report
Current view: top level - src/common - t_c_g0.F (source / functions) Coverage Total Hit
Test: CP2K Regtests (git:37370f3) Lines: 98.9 % 912 902
Test Date: 2026-11-05 01:01:37 Functions: 100.0 % 5 5

            Line data    Source code
       1              : !--------------------------------------------------------------------------------------------------!
       2              : !   CP2K: A general program to perform molecular dynamics simulations                              !
       3              : !   Copyright 2000-2026 CP2K developers group <https://cp2k.org>                                   !
       4              : !                                                                                                  !
       5              : !   SPDX-License-Identifier: GPL-2.0-or-later                                                      !
       6              : !--------------------------------------------------------------------------------------------------!
       7              : 
       8              : !--------------------------------------------------------------------------------------------------!
       9              : !   Copyright (c) 2008, 2009, Joost VandeVondele and Manuel Guidon                                 !
      10              : !   All rights reserved.                                                                           !
      11              : !                                                                                                  !
      12              : !   Redistribution and use in source and binary forms, with or without                             !
      13              : !   modification, are permitted provided that the following conditions are met:                    !
      14              : !       * Redistributions of source code must retain the above copyright                           !
      15              : !         notice, this list of conditions and the following disclaimer.                            !
      16              : !       * Redistributions in binary form must reproduce the above copyright                        !
      17              : !         notice, this list of conditions and the following disclaimer in the                      !
      18              : !         documentation and/or other materials provided with the distribution.                     !
      19              : !                                                                                                  !
      20              : !   THIS SOFTWARE IS PROVIDED BY Joost VandeVondele and Manuel Guidon AS IS AND ANY                !
      21              : !   EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED                      !
      22              : !   WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE                         !
      23              : !   DISCLAIMED. IN NO EVENT SHALL Joost VandeVondele or Manuel Guidon BE LIABLE FOR ANY            !
      24              : !   DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES                     !
      25              : !   (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;                   !
      26              : !   LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND                    !
      27              : !   ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT                     !
      28              : !   (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS                  !
      29              : !   SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.                                   !
      30              : !--------------------------------------------------------------------------------------------------!
      31              : 
      32              : ! **************************************************************************************************
      33              : !> \brief This module computes the basic integrals for the truncated coulomb operator
      34              : !>
      35              : !>          res(1) =G_0(R,T)= ((2*erf(sqrt(t))+erf(R-sqrt(t))-erf(R+sqrt(t)))/sqrt(t))
      36              : !>
      37              : !>        and up to 21 derivatives with respect to T
      38              : !>
      39              : !>          res(n+1)=(-1)**n d^n/dT^n G_0(R,T)
      40              : !>
      41              : !>        The function is only computed for values of R,T which fulfil
      42              : !>
      43              : !>          R**2 - 11.0_dp*R + 0.0_dp < T < R**2 + 11.0_dp*R + 50.0_dp where R>=0 T>=0
      44              : !>
      45              : !>        for T larger than the upper bound, 0 is returned
      46              : !>        (which is accurate at least up to 1.0E-16)
      47              : !>        while for T smaller than the lower bound, the caller is instructed
      48              : !>        to use the conventional gamma function instead
      49              : !>        (i.e. the limit of above expression for R to Infinity)
      50              : !>
      51              : !> \author Joost VandeVondele and Manuel Guidon
      52              : !> \par History
      53              : !>      Nov 2008, 2009 Joost VandeVondele and Manuel Guidon
      54              : !>      May 2019 A. Bussy: Added a get_maxl_init function to get current status of nderiv_init and
      55              : !>                moved the file to common (made it accessible from aobasis, same place as gamma.F).
      56              : !>      Oct 2025 M. Puligheddu: Added public qualifier to C0 to simplify reuse
      57              : ! **************************************************************************************************
      58              : MODULE t_c_g0
      59              :    USE kinds,                           ONLY: dp
      60              :    USE message_passing,                 ONLY: mp_comm_type
      61              : #include "../base/base_uses.f90"
      62              : 
      63              :    IMPLICIT NONE
      64              : 
      65              :    REAL(KIND=dp), DIMENSION(:, :), ALLOCATABLE, SAVE, PUBLIC :: C0
      66              : 
      67              :    PRIVATE
      68              : 
      69              :    PUBLIC :: t_c_g0_n, init, free_C0, get_lmax_init
      70              : 
      71              :    INTEGER, PARAMETER :: degree = 13
      72              :    REAL(KIND=dp), PARAMETER :: target_error = 1.000000E-09_dp
      73              :    INTEGER, PARAMETER :: nderiv_max = 21
      74              :    INTEGER, SAVE      :: nderiv_init = -1
      75              :    INTEGER, SAVE      :: patches = -1
      76              : 
      77              : CONTAINS
      78              : 
      79              : ! **************************************************************************************************
      80              : !> \brief ...
      81              : !> \param RES ...
      82              : !> \param use_gamma ...
      83              : !> \param R ...
      84              : !> \param T ...
      85              : !> \param NDERIV ...
      86              : ! **************************************************************************************************
      87    263544602 :    SUBROUTINE t_c_g0_n(RES, use_gamma, R, T, NDERIV)
      88              :       REAL(KIND=dp), INTENT(OUT)                         :: RES(*)
      89              :       LOGICAL, INTENT(OUT)                               :: use_gamma
      90              :       REAL(KIND=dp), INTENT(IN)                          :: R, T
      91              :       INTEGER, INTENT(IN)                                :: NDERIV
      92              : 
      93              :       REAL(KIND=dp)                                      :: lower, TG1, TG2, upper, X1, X2
      94              : 
      95    263544602 :       use_gamma = .FALSE.
      96    263544602 :       upper = R**2 + 11.0_dp*R + 50.0_dp
      97    263544602 :       lower = R**2 - 11.0_dp*R + 0.0_dp
      98    263544602 :       IF (T > upper) THEN
      99      8343354 :          RES(1:NDERIV + 1) = 0.0_dp
     100     10314230 :          RETURN
     101              :       END IF
     102    261344271 :       IF (R <= 11.0_dp) THEN
     103    220944892 :          X2 = R/11.0_dp
     104    220944892 :          upper = R**2 + 11.0_dp*R + 50.0_dp
     105    220944892 :          lower = 0.0_dp
     106    220944892 :          X1 = (T - lower)/(upper - lower)
     107    220944892 :          IF (X1 <= 0.500000000000000000E+00_dp) THEN
     108    145921060 :             IF (X2 <= 0.500000000000000000E+00_dp) THEN
     109    123032289 :                IF (X2 <= 0.250000000000000000E+00_dp) THEN
     110     97109477 :                   IF (X2 <= 0.125000000000000000E+00_dp) THEN
     111     20679533 :                      IF (X1 <= 0.250000000000000000E+00_dp) THEN
     112      9612581 :                         IF (X2 <= 0.625000000000000000E-01_dp) THEN
     113      1216293 :                            IF (X1 <= 0.125000000000000000E+00_dp) THEN
     114       626835 :                               IF (X2 <= 0.312500000000000000E-01_dp) THEN
     115        42453 :                                  IF (X1 <= 0.625000000000000000E-01_dp) THEN
     116        16689 :                                     IF (X2 <= 0.156250000000000000E-01_dp) THEN
     117            0 :                                        IF (X1 <= 0.312500000000000000E-01_dp) THEN
     118            0 :                                           TG1 = (2*X1 - 0.312500000000000000E-01_dp)*0.320000000000000000E+02_dp
     119            0 :                                           TG2 = (2*X2 - 0.156250000000000000E-01_dp)*0.640000000000000000E+02_dp
     120            0 :                                           CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 1))
     121              :                                        ELSE
     122            0 :                                           TG1 = (2*X1 - 0.937500000000000000E-01_dp)*0.320000000000000000E+02_dp
     123            0 :                                           TG2 = (2*X2 - 0.156250000000000000E-01_dp)*0.640000000000000000E+02_dp
     124            0 :                                           CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 2))
     125              :                                        END IF
     126              :                                     ELSE
     127        16689 :                                        IF (X1 <= 0.312500000000000000E-01_dp) THEN
     128         8141 :                                           TG1 = (2*X1 - 0.312500000000000000E-01_dp)*0.320000000000000000E+02_dp
     129         8141 :                                           TG2 = (2*X2 - 0.468750000000000000E-01_dp)*0.640000000000000000E+02_dp
     130         8141 :                                           CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 3))
     131              :                                        ELSE
     132         8548 :                                           TG1 = (2*X1 - 0.937500000000000000E-01_dp)*0.320000000000000000E+02_dp
     133         8548 :                                           TG2 = (2*X2 - 0.468750000000000000E-01_dp)*0.640000000000000000E+02_dp
     134         8548 :                                           CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 4))
     135              :                                        END IF
     136              :                                     END IF
     137              :                                  ELSE
     138        25764 :                                     IF (X2 <= 0.156250000000000000E-01_dp) THEN
     139            0 :                                        TG1 = (2*X1 - 0.187500000000000000E+00_dp)*0.160000000000000000E+02_dp
     140            0 :                                        TG2 = (2*X2 - 0.156250000000000000E-01_dp)*0.640000000000000000E+02_dp
     141            0 :                                        CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 5))
     142              :                                     ELSE
     143        25764 :                                        TG1 = (2*X1 - 0.187500000000000000E+00_dp)*0.160000000000000000E+02_dp
     144        25764 :                                        TG2 = (2*X2 - 0.468750000000000000E-01_dp)*0.640000000000000000E+02_dp
     145        25764 :                                        CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 6))
     146              :                                     END IF
     147              :                                  END IF
     148              :                               ELSE
     149       584382 :                                  IF (X1 <= 0.625000000000000000E-01_dp) THEN
     150       307703 :                                     IF (X2 <= 0.468750000000000000E-01_dp) THEN
     151       135925 :                                        IF (X1 <= 0.312500000000000000E-01_dp) THEN
     152        69268 :                                           TG1 = (2*X1 - 0.312500000000000000E-01_dp)*0.320000000000000000E+02_dp
     153        69268 :                                           TG2 = (2*X2 - 0.781250000000000000E-01_dp)*0.640000000000000000E+02_dp
     154        69268 :                                           CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 7))
     155              :                                        ELSE
     156        66657 :                                           TG1 = (2*X1 - 0.937500000000000000E-01_dp)*0.320000000000000000E+02_dp
     157        66657 :                                           TG2 = (2*X2 - 0.781250000000000000E-01_dp)*0.640000000000000000E+02_dp
     158        66657 :                                           CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 8))
     159              :                                        END IF
     160              :                                     ELSE
     161       171778 :                                        IF (X1 <= 0.312500000000000000E-01_dp) THEN
     162       130828 :                                           TG1 = (2*X1 - 0.312500000000000000E-01_dp)*0.320000000000000000E+02_dp
     163       130828 :                                           TG2 = (2*X2 - 0.109375000000000000E+00_dp)*0.640000000000000000E+02_dp
     164       130828 :                                           CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 9))
     165              :                                        ELSE
     166        40950 :                                           TG1 = (2*X1 - 0.937500000000000000E-01_dp)*0.320000000000000000E+02_dp
     167        40950 :                                           TG2 = (2*X2 - 0.109375000000000000E+00_dp)*0.640000000000000000E+02_dp
     168        40950 :                                           CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 10))
     169              :                                        END IF
     170              :                                     END IF
     171              :                                  ELSE
     172       276679 :                                     IF (X2 <= 0.468750000000000000E-01_dp) THEN
     173       211800 :                                        TG1 = (2*X1 - 0.187500000000000000E+00_dp)*0.160000000000000000E+02_dp
     174       211800 :                                        TG2 = (2*X2 - 0.781250000000000000E-01_dp)*0.640000000000000000E+02_dp
     175       211800 :                                        CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 11))
     176              :                                     ELSE
     177        64879 :                                        TG1 = (2*X1 - 0.187500000000000000E+00_dp)*0.160000000000000000E+02_dp
     178        64879 :                                        TG2 = (2*X2 - 0.109375000000000000E+00_dp)*0.640000000000000000E+02_dp
     179        64879 :                                        CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 12))
     180              :                                     END IF
     181              :                                  END IF
     182              :                               END IF
     183              :                            ELSE
     184       589458 :                               IF (X2 <= 0.312500000000000000E-01_dp) THEN
     185        51073 :                                  IF (X1 <= 0.187500000000000000E+00_dp) THEN
     186        16232 :                                     TG1 = (2*X1 - 0.312500000000000000E+00_dp)*0.160000000000000000E+02_dp
     187        16232 :                                     TG2 = (2*X2 - 0.312500000000000000E-01_dp)*0.320000000000000000E+02_dp
     188        16232 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 13))
     189              :                                  ELSE
     190        34841 :                                     TG1 = (2*X1 - 0.437500000000000000E+00_dp)*0.160000000000000000E+02_dp
     191        34841 :                                     TG2 = (2*X2 - 0.312500000000000000E-01_dp)*0.320000000000000000E+02_dp
     192        34841 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 14))
     193              :                                  END IF
     194              :                               ELSE
     195       538385 :                                  IF (X1 <= 0.187500000000000000E+00_dp) THEN
     196       291348 :                                     TG1 = (2*X1 - 0.312500000000000000E+00_dp)*0.160000000000000000E+02_dp
     197       291348 :                                     TG2 = (2*X2 - 0.937500000000000000E-01_dp)*0.320000000000000000E+02_dp
     198       291348 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 15))
     199              :                                  ELSE
     200       247037 :                                     TG1 = (2*X1 - 0.437500000000000000E+00_dp)*0.160000000000000000E+02_dp
     201       247037 :                                     TG2 = (2*X2 - 0.937500000000000000E-01_dp)*0.320000000000000000E+02_dp
     202       247037 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 16))
     203              :                                  END IF
     204              :                               END IF
     205              :                            END IF
     206              :                         ELSE
     207      8396288 :                            IF (X1 <= 0.125000000000000000E+00_dp) THEN
     208      4045577 :                               IF (X2 <= 0.937500000000000000E-01_dp) THEN
     209       950508 :                                  IF (X1 <= 0.625000000000000000E-01_dp) THEN
     210       608072 :                                     IF (X2 <= 0.781250000000000000E-01_dp) THEN
     211       274244 :                                        IF (X1 <= 0.312500000000000000E-01_dp) THEN
     212       240414 :                                           TG1 = (2*X1 - 0.312500000000000000E-01_dp)*0.320000000000000000E+02_dp
     213       240414 :                                           TG2 = (2*X2 - 0.140625000000000000E+00_dp)*0.640000000000000000E+02_dp
     214       240414 :                                           CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 17))
     215              :                                        ELSE
     216        33830 :                                           TG1 = (2*X1 - 0.937500000000000000E-01_dp)*0.320000000000000000E+02_dp
     217        33830 :                                           TG2 = (2*X2 - 0.140625000000000000E+00_dp)*0.640000000000000000E+02_dp
     218        33830 :                                           CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 18))
     219              :                                        END IF
     220              :                                     ELSE
     221       333828 :                                        IF (X1 <= 0.312500000000000000E-01_dp) THEN
     222       241530 :                                           TG1 = (2*X1 - 0.312500000000000000E-01_dp)*0.320000000000000000E+02_dp
     223       241530 :                                           TG2 = (2*X2 - 0.171875000000000000E+00_dp)*0.640000000000000000E+02_dp
     224       241530 :                                           CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 19))
     225              :                                        ELSE
     226        92298 :                                           TG1 = (2*X1 - 0.937500000000000000E-01_dp)*0.320000000000000000E+02_dp
     227        92298 :                                           TG2 = (2*X2 - 0.171875000000000000E+00_dp)*0.640000000000000000E+02_dp
     228        92298 :                                           CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 20))
     229              :                                        END IF
     230              :                                     END IF
     231              :                                  ELSE
     232       342436 :                                     IF (X2 <= 0.781250000000000000E-01_dp) THEN
     233        67001 :                                        TG1 = (2*X1 - 0.187500000000000000E+00_dp)*0.160000000000000000E+02_dp
     234        67001 :                                        TG2 = (2*X2 - 0.140625000000000000E+00_dp)*0.640000000000000000E+02_dp
     235        67001 :                                        CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 21))
     236              :                                     ELSE
     237       275435 :                                        TG1 = (2*X1 - 0.187500000000000000E+00_dp)*0.160000000000000000E+02_dp
     238       275435 :                                        TG2 = (2*X2 - 0.171875000000000000E+00_dp)*0.640000000000000000E+02_dp
     239       275435 :                                        CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 22))
     240              :                                     END IF
     241              :                                  END IF
     242              :                               ELSE
     243      3095069 :                                  IF (X1 <= 0.625000000000000000E-01_dp) THEN
     244      1585144 :                                     IF (X2 <= 0.109375000000000000E+00_dp) THEN
     245       738363 :                                        IF (X1 <= 0.312500000000000000E-01_dp) THEN
     246       525459 :                                           TG1 = (2*X1 - 0.312500000000000000E-01_dp)*0.320000000000000000E+02_dp
     247       525459 :                                           TG2 = (2*X2 - 0.203125000000000000E+00_dp)*0.640000000000000000E+02_dp
     248       525459 :                                           CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 23))
     249              :                                        ELSE
     250       212904 :                                           TG1 = (2*X1 - 0.937500000000000000E-01_dp)*0.320000000000000000E+02_dp
     251       212904 :                                           TG2 = (2*X2 - 0.203125000000000000E+00_dp)*0.640000000000000000E+02_dp
     252       212904 :                                           CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 24))
     253              :                                        END IF
     254              :                                     ELSE
     255       846781 :                                        IF (X1 <= 0.312500000000000000E-01_dp) THEN
     256       612959 :                                           TG1 = (2*X1 - 0.312500000000000000E-01_dp)*0.320000000000000000E+02_dp
     257       612959 :                                           TG2 = (2*X2 - 0.234375000000000000E+00_dp)*0.640000000000000000E+02_dp
     258       612959 :                                           CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 25))
     259              :                                        ELSE
     260       233822 :                                           TG1 = (2*X1 - 0.937500000000000000E-01_dp)*0.320000000000000000E+02_dp
     261       233822 :                                           TG2 = (2*X2 - 0.234375000000000000E+00_dp)*0.640000000000000000E+02_dp
     262       233822 :                                           CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 26))
     263              :                                        END IF
     264              :                                     END IF
     265              :                                  ELSE
     266      1509925 :                                     IF (X2 <= 0.109375000000000000E+00_dp) THEN
     267       633603 :                                        TG1 = (2*X1 - 0.187500000000000000E+00_dp)*0.160000000000000000E+02_dp
     268       633603 :                                        TG2 = (2*X2 - 0.203125000000000000E+00_dp)*0.640000000000000000E+02_dp
     269       633603 :                                        CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 27))
     270              :                                     ELSE
     271       876322 :                                        TG1 = (2*X1 - 0.187500000000000000E+00_dp)*0.160000000000000000E+02_dp
     272       876322 :                                        TG2 = (2*X2 - 0.234375000000000000E+00_dp)*0.640000000000000000E+02_dp
     273       876322 :                                        CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 28))
     274              :                                     END IF
     275              :                                  END IF
     276              :                               END IF
     277              :                            ELSE
     278      4350711 :                               IF (X1 <= 0.187500000000000000E+00_dp) THEN
     279      2098208 :                                  IF (X2 <= 0.937500000000000000E-01_dp) THEN
     280       362912 :                                     TG1 = (2*X1 - 0.312500000000000000E+00_dp)*0.160000000000000000E+02_dp
     281       362912 :                                     TG2 = (2*X2 - 0.156250000000000000E+00_dp)*0.320000000000000000E+02_dp
     282       362912 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 29))
     283              :                                  ELSE
     284      1735296 :                                     TG1 = (2*X1 - 0.312500000000000000E+00_dp)*0.160000000000000000E+02_dp
     285      1735296 :                                     TG2 = (2*X2 - 0.218750000000000000E+00_dp)*0.320000000000000000E+02_dp
     286      1735296 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 30))
     287              :                                  END IF
     288              :                               ELSE
     289      2252503 :                                  TG1 = (2*X1 - 0.437500000000000000E+00_dp)*0.160000000000000000E+02_dp
     290      2252503 :                                  TG2 = (2*X2 - 0.187500000000000000E+00_dp)*0.160000000000000000E+02_dp
     291      2252503 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 31))
     292              :                               END IF
     293              :                            END IF
     294              :                         END IF
     295              :                      ELSE
     296     11066952 :                         IF (X1 <= 0.375000000000000000E+00_dp) THEN
     297      5874836 :                            TG1 = (2*X1 - 0.625000000000000000E+00_dp)*0.800000000000000000E+01_dp
     298      5874836 :                            TG2 = (2*X2 - 0.125000000000000000E+00_dp)*0.800000000000000000E+01_dp
     299      5874836 :                            CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 32))
     300              :                         ELSE
     301      5192116 :                            TG1 = (2*X1 - 0.875000000000000000E+00_dp)*0.800000000000000000E+01_dp
     302      5192116 :                            TG2 = (2*X2 - 0.125000000000000000E+00_dp)*0.800000000000000000E+01_dp
     303      5192116 :                            CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 33))
     304              :                         END IF
     305              :                      END IF
     306              :                   ELSE
     307     76429944 :                      IF (X1 <= 0.250000000000000000E+00_dp) THEN
     308     33706034 :                         IF (X2 <= 0.187500000000000000E+00_dp) THEN
     309     20907313 :                            IF (X1 <= 0.125000000000000000E+00_dp) THEN
     310     10204922 :                               IF (X2 <= 0.156250000000000000E+00_dp) THEN
     311      4716541 :                                  IF (X1 <= 0.625000000000000000E-01_dp) THEN
     312      2199675 :                                     IF (X1 <= 0.312500000000000000E-01_dp) THEN
     313      1424540 :                                        IF (X2 <= 0.140625000000000000E+00_dp) THEN
     314       625779 :                                           TG1 = (2*X1 - 0.312500000000000000E-01_dp)*0.320000000000000000E+02_dp
     315       625779 :                                           TG2 = (2*X2 - 0.265625000000000000E+00_dp)*0.640000000000000000E+02_dp
     316       625779 :                                           CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 34))
     317              :                                        ELSE
     318       798761 :                                           TG1 = (2*X1 - 0.312500000000000000E-01_dp)*0.320000000000000000E+02_dp
     319       798761 :                                           TG2 = (2*X2 - 0.296875000000000000E+00_dp)*0.640000000000000000E+02_dp
     320       798761 :                                           CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 35))
     321              :                                        END IF
     322              :                                     ELSE
     323       775135 :                                        TG1 = (2*X1 - 0.937500000000000000E-01_dp)*0.320000000000000000E+02_dp
     324       775135 :                                        TG2 = (2*X2 - 0.281250000000000000E+00_dp)*0.320000000000000000E+02_dp
     325       775135 :                                        CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 36))
     326              :                                     END IF
     327              :                                  ELSE
     328      2516866 :                                     IF (X1 <= 0.937500000000000000E-01_dp) THEN
     329      1130041 :                                        TG1 = (2*X1 - 0.156250000000000000E+00_dp)*0.320000000000000000E+02_dp
     330      1130041 :                                        TG2 = (2*X2 - 0.281250000000000000E+00_dp)*0.320000000000000000E+02_dp
     331      1130041 :                                        CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 37))
     332              :                                     ELSE
     333      1386825 :                                        TG1 = (2*X1 - 0.218750000000000000E+00_dp)*0.320000000000000000E+02_dp
     334      1386825 :                                        TG2 = (2*X2 - 0.281250000000000000E+00_dp)*0.320000000000000000E+02_dp
     335      1386825 :                                        CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 38))
     336              :                                     END IF
     337              :                                  END IF
     338              :                               ELSE
     339      5488381 :                                  IF (X1 <= 0.625000000000000000E-01_dp) THEN
     340      3255156 :                                     IF (X1 <= 0.312500000000000000E-01_dp) THEN
     341      2186097 :                                        IF (X2 <= 0.171875000000000000E+00_dp) THEN
     342       903423 :                                           TG1 = (2*X1 - 0.312500000000000000E-01_dp)*0.320000000000000000E+02_dp
     343       903423 :                                           TG2 = (2*X2 - 0.328125000000000000E+00_dp)*0.640000000000000000E+02_dp
     344       903423 :                                           CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 39))
     345              :                                        ELSE
     346      1282674 :                                           TG1 = (2*X1 - 0.312500000000000000E-01_dp)*0.320000000000000000E+02_dp
     347      1282674 :                                           TG2 = (2*X2 - 0.359375000000000000E+00_dp)*0.640000000000000000E+02_dp
     348      1282674 :                                           CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 40))
     349              :                                        END IF
     350              :                                     ELSE
     351      1069059 :                                        TG1 = (2*X1 - 0.937500000000000000E-01_dp)*0.320000000000000000E+02_dp
     352      1069059 :                                        TG2 = (2*X2 - 0.343750000000000000E+00_dp)*0.320000000000000000E+02_dp
     353      1069059 :                                        CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 41))
     354              :                                     END IF
     355              :                                  ELSE
     356      2233225 :                                     TG1 = (2*X1 - 0.187500000000000000E+00_dp)*0.160000000000000000E+02_dp
     357      2233225 :                                     TG2 = (2*X2 - 0.343750000000000000E+00_dp)*0.320000000000000000E+02_dp
     358      2233225 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 42))
     359              :                                  END IF
     360              :                               END IF
     361              :                            ELSE
     362     10702391 :                               IF (X1 <= 0.187500000000000000E+00_dp) THEN
     363      5133779 :                                  TG1 = (2*X1 - 0.312500000000000000E+00_dp)*0.160000000000000000E+02_dp
     364      5133779 :                                  TG2 = (2*X2 - 0.312500000000000000E+00_dp)*0.160000000000000000E+02_dp
     365      5133779 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 43))
     366              :                               ELSE
     367      5568612 :                                  TG1 = (2*X1 - 0.437500000000000000E+00_dp)*0.160000000000000000E+02_dp
     368      5568612 :                                  TG2 = (2*X2 - 0.312500000000000000E+00_dp)*0.160000000000000000E+02_dp
     369      5568612 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 44))
     370              :                               END IF
     371              :                            END IF
     372              :                         ELSE
     373     12798721 :                            IF (X1 <= 0.125000000000000000E+00_dp) THEN
     374      8381905 :                               IF (X1 <= 0.625000000000000000E-01_dp) THEN
     375      6175399 :                                  IF (X2 <= 0.218750000000000000E+00_dp) THEN
     376      3152724 :                                     IF (X1 <= 0.312500000000000000E-01_dp) THEN
     377      2173773 :                                        IF (X2 <= 0.203125000000000000E+00_dp) THEN
     378      1148165 :                                           TG1 = (2*X1 - 0.312500000000000000E-01_dp)*0.320000000000000000E+02_dp
     379      1148165 :                                           TG2 = (2*X2 - 0.390625000000000000E+00_dp)*0.640000000000000000E+02_dp
     380      1148165 :                                           CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 45))
     381              :                                        ELSE
     382      1025608 :                                           TG1 = (2*X1 - 0.312500000000000000E-01_dp)*0.320000000000000000E+02_dp
     383      1025608 :                                           TG2 = (2*X2 - 0.421875000000000000E+00_dp)*0.640000000000000000E+02_dp
     384      1025608 :                                           CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 46))
     385              :                                        END IF
     386              :                                     ELSE
     387       978951 :                                        TG1 = (2*X1 - 0.937500000000000000E-01_dp)*0.320000000000000000E+02_dp
     388       978951 :                                        TG2 = (2*X2 - 0.406250000000000000E+00_dp)*0.320000000000000000E+02_dp
     389       978951 :                                        CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 47))
     390              :                                     END IF
     391              :                                  ELSE
     392      3022675 :                                     IF (X1 <= 0.312500000000000000E-01_dp) THEN
     393      2283520 :                                        IF (X2 <= 0.234375000000000000E+00_dp) THEN
     394      1088663 :                                           TG1 = (2*X1 - 0.312500000000000000E-01_dp)*0.320000000000000000E+02_dp
     395      1088663 :                                           TG2 = (2*X2 - 0.453125000000000000E+00_dp)*0.640000000000000000E+02_dp
     396      1088663 :                                           CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 48))
     397              :                                        ELSE
     398      1194857 :                                           TG1 = (2*X1 - 0.312500000000000000E-01_dp)*0.320000000000000000E+02_dp
     399      1194857 :                                           TG2 = (2*X2 - 0.484375000000000000E+00_dp)*0.640000000000000000E+02_dp
     400      1194857 :                                           CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 49))
     401              :                                        END IF
     402              :                                     ELSE
     403       739155 :                                        TG1 = (2*X1 - 0.937500000000000000E-01_dp)*0.320000000000000000E+02_dp
     404       739155 :                                        TG2 = (2*X2 - 0.468750000000000000E+00_dp)*0.320000000000000000E+02_dp
     405       739155 :                                        CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 50))
     406              :                                     END IF
     407              :                                  END IF
     408              :                               ELSE
     409      2206506 :                                  IF (X2 <= 0.218750000000000000E+00_dp) THEN
     410      1322323 :                                     TG1 = (2*X1 - 0.187500000000000000E+00_dp)*0.160000000000000000E+02_dp
     411      1322323 :                                     TG2 = (2*X2 - 0.406250000000000000E+00_dp)*0.320000000000000000E+02_dp
     412      1322323 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 51))
     413              :                                  ELSE
     414       884183 :                                     TG1 = (2*X1 - 0.187500000000000000E+00_dp)*0.160000000000000000E+02_dp
     415       884183 :                                     TG2 = (2*X2 - 0.468750000000000000E+00_dp)*0.320000000000000000E+02_dp
     416       884183 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 52))
     417              :                                  END IF
     418              :                               END IF
     419              :                            ELSE
     420      4416816 :                               IF (X1 <= 0.187500000000000000E+00_dp) THEN
     421      2135059 :                                  TG1 = (2*X1 - 0.312500000000000000E+00_dp)*0.160000000000000000E+02_dp
     422      2135059 :                                  TG2 = (2*X2 - 0.437500000000000000E+00_dp)*0.160000000000000000E+02_dp
     423      2135059 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 53))
     424              :                               ELSE
     425      2281757 :                                  TG1 = (2*X1 - 0.437500000000000000E+00_dp)*0.160000000000000000E+02_dp
     426      2281757 :                                  TG2 = (2*X2 - 0.437500000000000000E+00_dp)*0.160000000000000000E+02_dp
     427      2281757 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 54))
     428              :                               END IF
     429              :                            END IF
     430              :                         END IF
     431              :                      ELSE
     432     42723910 :                         IF (X1 <= 0.375000000000000000E+00_dp) THEN
     433     19189052 :                            IF (X1 <= 0.312500000000000000E+00_dp) THEN
     434      8781055 :                               TG1 = (2*X1 - 0.562500000000000000E+00_dp)*0.160000000000000000E+02_dp
     435      8781055 :                               TG2 = (2*X2 - 0.375000000000000000E+00_dp)*0.800000000000000000E+01_dp
     436      8781055 :                               CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 55))
     437              :                            ELSE
     438     10407997 :                               TG1 = (2*X1 - 0.687500000000000000E+00_dp)*0.160000000000000000E+02_dp
     439     10407997 :                               TG2 = (2*X2 - 0.375000000000000000E+00_dp)*0.800000000000000000E+01_dp
     440     10407997 :                               CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 56))
     441              :                            END IF
     442              :                         ELSE
     443     23534858 :                            TG1 = (2*X1 - 0.875000000000000000E+00_dp)*0.800000000000000000E+01_dp
     444     23534858 :                            TG2 = (2*X2 - 0.375000000000000000E+00_dp)*0.800000000000000000E+01_dp
     445     23534858 :                            CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 57))
     446              :                         END IF
     447              :                      END IF
     448              :                   END IF
     449              :                ELSE
     450     25922812 :                   IF (X1 <= 0.250000000000000000E+00_dp) THEN
     451     19066204 :                      IF (X1 <= 0.125000000000000000E+00_dp) THEN
     452     16589767 :                         IF (X1 <= 0.625000000000000000E-01_dp) THEN
     453     14226771 :                            IF (X2 <= 0.375000000000000000E+00_dp) THEN
     454      9237548 :                               IF (X2 <= 0.312500000000000000E+00_dp) THEN
     455      5109977 :                                  IF (X1 <= 0.312500000000000000E-01_dp) THEN
     456      4043075 :                                     IF (X2 <= 0.281250000000000000E+00_dp) THEN
     457      2083210 :                                        TG1 = (2*X1 - 0.312500000000000000E-01_dp)*0.320000000000000000E+02_dp
     458      2083210 :                                        TG2 = (2*X2 - 0.531250000000000000E+00_dp)*0.320000000000000000E+02_dp
     459      2083210 :                                        CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 58))
     460              :                                     ELSE
     461      1959865 :                                        TG1 = (2*X1 - 0.312500000000000000E-01_dp)*0.320000000000000000E+02_dp
     462      1959865 :                                        TG2 = (2*X2 - 0.593750000000000000E+00_dp)*0.320000000000000000E+02_dp
     463      1959865 :                                        CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 59))
     464              :                                     END IF
     465              :                                  ELSE
     466      1066902 :                                     IF (X2 <= 0.281250000000000000E+00_dp) THEN
     467       573859 :                                        TG1 = (2*X1 - 0.937500000000000000E-01_dp)*0.320000000000000000E+02_dp
     468       573859 :                                        TG2 = (2*X2 - 0.531250000000000000E+00_dp)*0.320000000000000000E+02_dp
     469       573859 :                                        CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 60))
     470              :                                     ELSE
     471       493043 :                                        TG1 = (2*X1 - 0.937500000000000000E-01_dp)*0.320000000000000000E+02_dp
     472       493043 :                                        TG2 = (2*X2 - 0.593750000000000000E+00_dp)*0.320000000000000000E+02_dp
     473       493043 :                                        CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 61))
     474              :                                     END IF
     475              :                                  END IF
     476              :                               ELSE
     477      4127571 :                                  IF (X1 <= 0.312500000000000000E-01_dp) THEN
     478      3471192 :                                     IF (X2 <= 0.343750000000000000E+00_dp) THEN
     479      1728769 :                                        TG1 = (2*X1 - 0.312500000000000000E-01_dp)*0.320000000000000000E+02_dp
     480      1728769 :                                        TG2 = (2*X2 - 0.656250000000000000E+00_dp)*0.320000000000000000E+02_dp
     481      1728769 :                                        CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 62))
     482              :                                     ELSE
     483      1742423 :                                        TG1 = (2*X1 - 0.312500000000000000E-01_dp)*0.320000000000000000E+02_dp
     484      1742423 :                                        TG2 = (2*X2 - 0.718750000000000000E+00_dp)*0.320000000000000000E+02_dp
     485      1742423 :                                        CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 63))
     486              :                                     END IF
     487              :                                  ELSE
     488       656379 :                                     TG1 = (2*X1 - 0.937500000000000000E-01_dp)*0.320000000000000000E+02_dp
     489       656379 :                                     TG2 = (2*X2 - 0.687500000000000000E+00_dp)*0.160000000000000000E+02_dp
     490       656379 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 64))
     491              :                                  END IF
     492              :                               END IF
     493              :                            ELSE
     494      4989223 :                               IF (X1 <= 0.312500000000000000E-01_dp) THEN
     495      4398807 :                                  IF (X2 <= 0.437500000000000000E+00_dp) THEN
     496      2729196 :                                     IF (X1 <= 0.156250000000000000E-01_dp) THEN
     497      2447056 :                                        TG1 = (2*X1 - 0.156250000000000000E-01_dp)*0.640000000000000000E+02_dp
     498      2447056 :                                        TG2 = (2*X2 - 0.812500000000000000E+00_dp)*0.160000000000000000E+02_dp
     499      2447056 :                                        CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 65))
     500              :                                     ELSE
     501       282140 :                                        TG1 = (2*X1 - 0.468750000000000000E-01_dp)*0.640000000000000000E+02_dp
     502       282140 :                                        TG2 = (2*X2 - 0.812500000000000000E+00_dp)*0.160000000000000000E+02_dp
     503       282140 :                                        CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 66))
     504              :                                     END IF
     505              :                                  ELSE
     506      1669611 :                                     IF (X1 <= 0.156250000000000000E-01_dp) THEN
     507      1540952 :                                        TG1 = (2*X1 - 0.156250000000000000E-01_dp)*0.640000000000000000E+02_dp
     508      1540952 :                                        TG2 = (2*X2 - 0.937500000000000000E+00_dp)*0.160000000000000000E+02_dp
     509      1540952 :                                        CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 67))
     510              :                                     ELSE
     511       128659 :                                        TG1 = (2*X1 - 0.468750000000000000E-01_dp)*0.640000000000000000E+02_dp
     512       128659 :                                        TG2 = (2*X2 - 0.937500000000000000E+00_dp)*0.160000000000000000E+02_dp
     513       128659 :                                        CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 68))
     514              :                                     END IF
     515              :                                  END IF
     516              :                               ELSE
     517       590416 :                                  IF (X2 <= 0.437500000000000000E+00_dp) THEN
     518       361394 :                                     TG1 = (2*X1 - 0.937500000000000000E-01_dp)*0.320000000000000000E+02_dp
     519       361394 :                                     TG2 = (2*X2 - 0.812500000000000000E+00_dp)*0.160000000000000000E+02_dp
     520       361394 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 69))
     521              :                                  ELSE
     522       229022 :                                     TG1 = (2*X1 - 0.937500000000000000E-01_dp)*0.320000000000000000E+02_dp
     523       229022 :                                     TG2 = (2*X2 - 0.937500000000000000E+00_dp)*0.160000000000000000E+02_dp
     524       229022 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 70))
     525              :                                  END IF
     526              :                               END IF
     527              :                            END IF
     528              :                         ELSE
     529      2362996 :                            IF (X2 <= 0.375000000000000000E+00_dp) THEN
     530      1815005 :                               IF (X2 <= 0.312500000000000000E+00_dp) THEN
     531      1180875 :                                  IF (X1 <= 0.937500000000000000E-01_dp) THEN
     532       746918 :                                     TG1 = (2*X1 - 0.156250000000000000E+00_dp)*0.320000000000000000E+02_dp
     533       746918 :                                     TG2 = (2*X2 - 0.562500000000000000E+00_dp)*0.160000000000000000E+02_dp
     534       746918 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 71))
     535              :                                  ELSE
     536       433957 :                                     TG1 = (2*X1 - 0.218750000000000000E+00_dp)*0.320000000000000000E+02_dp
     537       433957 :                                     TG2 = (2*X2 - 0.562500000000000000E+00_dp)*0.160000000000000000E+02_dp
     538       433957 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 72))
     539              :                                  END IF
     540              :                               ELSE
     541       634130 :                                  IF (X1 <= 0.937500000000000000E-01_dp) THEN
     542       356734 :                                     TG1 = (2*X1 - 0.156250000000000000E+00_dp)*0.320000000000000000E+02_dp
     543       356734 :                                     TG2 = (2*X2 - 0.687500000000000000E+00_dp)*0.160000000000000000E+02_dp
     544       356734 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 73))
     545              :                                  ELSE
     546       277396 :                                     TG1 = (2*X1 - 0.218750000000000000E+00_dp)*0.320000000000000000E+02_dp
     547       277396 :                                     TG2 = (2*X2 - 0.687500000000000000E+00_dp)*0.160000000000000000E+02_dp
     548       277396 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 74))
     549              :                                  END IF
     550              :                               END IF
     551              :                            ELSE
     552       547991 :                               IF (X1 <= 0.937500000000000000E-01_dp) THEN
     553       286368 :                                  IF (X2 <= 0.437500000000000000E+00_dp) THEN
     554       190233 :                                     TG1 = (2*X1 - 0.156250000000000000E+00_dp)*0.320000000000000000E+02_dp
     555       190233 :                                     TG2 = (2*X2 - 0.812500000000000000E+00_dp)*0.160000000000000000E+02_dp
     556       190233 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 75))
     557              :                                  ELSE
     558        96135 :                                     TG1 = (2*X1 - 0.156250000000000000E+00_dp)*0.320000000000000000E+02_dp
     559        96135 :                                     TG2 = (2*X2 - 0.937500000000000000E+00_dp)*0.160000000000000000E+02_dp
     560        96135 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 76))
     561              :                                  END IF
     562              :                               ELSE
     563       261623 :                                  IF (X2 <= 0.437500000000000000E+00_dp) THEN
     564       157275 :                                     TG1 = (2*X1 - 0.218750000000000000E+00_dp)*0.320000000000000000E+02_dp
     565       157275 :                                     TG2 = (2*X2 - 0.812500000000000000E+00_dp)*0.160000000000000000E+02_dp
     566       157275 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 77))
     567              :                                  ELSE
     568       104348 :                                     TG1 = (2*X1 - 0.218750000000000000E+00_dp)*0.320000000000000000E+02_dp
     569       104348 :                                     TG2 = (2*X2 - 0.937500000000000000E+00_dp)*0.160000000000000000E+02_dp
     570       104348 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 78))
     571              :                                  END IF
     572              :                               END IF
     573              :                            END IF
     574              :                         END IF
     575              :                      ELSE
     576      2476437 :                         IF (X2 <= 0.375000000000000000E+00_dp) THEN
     577      1964767 :                            IF (X1 <= 0.187500000000000000E+00_dp) THEN
     578       856696 :                               IF (X2 <= 0.312500000000000000E+00_dp) THEN
     579       494427 :                                  TG1 = (2*X1 - 0.312500000000000000E+00_dp)*0.160000000000000000E+02_dp
     580       494427 :                                  TG2 = (2*X2 - 0.562500000000000000E+00_dp)*0.160000000000000000E+02_dp
     581       494427 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 79))
     582              :                               ELSE
     583       362269 :                                  IF (X1 <= 0.156250000000000000E+00_dp) THEN
     584       230672 :                                     TG1 = (2*X1 - 0.281250000000000000E+00_dp)*0.320000000000000000E+02_dp
     585       230672 :                                     TG2 = (2*X2 - 0.687500000000000000E+00_dp)*0.160000000000000000E+02_dp
     586       230672 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 80))
     587              :                                  ELSE
     588       131597 :                                     TG1 = (2*X1 - 0.343750000000000000E+00_dp)*0.320000000000000000E+02_dp
     589       131597 :                                     TG2 = (2*X2 - 0.687500000000000000E+00_dp)*0.160000000000000000E+02_dp
     590       131597 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 81))
     591              :                                  END IF
     592              :                               END IF
     593              :                            ELSE
     594      1108071 :                               IF (X2 <= 0.312500000000000000E+00_dp) THEN
     595       883324 :                                  TG1 = (2*X1 - 0.437500000000000000E+00_dp)*0.160000000000000000E+02_dp
     596       883324 :                                  TG2 = (2*X2 - 0.562500000000000000E+00_dp)*0.160000000000000000E+02_dp
     597       883324 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 82))
     598              :                               ELSE
     599       224747 :                                  TG1 = (2*X1 - 0.437500000000000000E+00_dp)*0.160000000000000000E+02_dp
     600       224747 :                                  TG2 = (2*X2 - 0.687500000000000000E+00_dp)*0.160000000000000000E+02_dp
     601       224747 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 83))
     602              :                               END IF
     603              :                            END IF
     604              :                         ELSE
     605       511670 :                            IF (X1 <= 0.187500000000000000E+00_dp) THEN
     606       333602 :                               IF (X2 <= 0.437500000000000000E+00_dp) THEN
     607       182308 :                                  TG1 = (2*X1 - 0.312500000000000000E+00_dp)*0.160000000000000000E+02_dp
     608       182308 :                                  TG2 = (2*X2 - 0.812500000000000000E+00_dp)*0.160000000000000000E+02_dp
     609       182308 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 84))
     610              :                               ELSE
     611       151294 :                                  IF (X1 <= 0.156250000000000000E+00_dp) THEN
     612        87714 :                                     TG1 = (2*X1 - 0.281250000000000000E+00_dp)*0.320000000000000000E+02_dp
     613        87714 :                                     TG2 = (2*X2 - 0.937500000000000000E+00_dp)*0.160000000000000000E+02_dp
     614        87714 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 85))
     615              :                                  ELSE
     616        63580 :                                     TG1 = (2*X1 - 0.343750000000000000E+00_dp)*0.320000000000000000E+02_dp
     617        63580 :                                     TG2 = (2*X2 - 0.937500000000000000E+00_dp)*0.160000000000000000E+02_dp
     618        63580 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 86))
     619              :                                  END IF
     620              :                               END IF
     621              :                            ELSE
     622       178068 :                               IF (X1 <= 0.218750000000000000E+00_dp) THEN
     623       105366 :                                  TG1 = (2*X1 - 0.406250000000000000E+00_dp)*0.320000000000000000E+02_dp
     624       105366 :                                  TG2 = (2*X2 - 0.875000000000000000E+00_dp)*0.800000000000000000E+01_dp
     625       105366 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 87))
     626              :                               ELSE
     627        72702 :                                  TG1 = (2*X1 - 0.468750000000000000E+00_dp)*0.320000000000000000E+02_dp
     628        72702 :                                  TG2 = (2*X2 - 0.875000000000000000E+00_dp)*0.800000000000000000E+01_dp
     629        72702 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 88))
     630              :                               END IF
     631              :                            END IF
     632              :                         END IF
     633              :                      END IF
     634              :                   ELSE
     635      6856608 :                      IF (X1 <= 0.375000000000000000E+00_dp) THEN
     636      2399517 :                         IF (X2 <= 0.375000000000000000E+00_dp) THEN
     637      1995771 :                            IF (X1 <= 0.312500000000000000E+00_dp) THEN
     638       953190 :                               TG1 = (2*X1 - 0.562500000000000000E+00_dp)*0.160000000000000000E+02_dp
     639       953190 :                               TG2 = (2*X2 - 0.625000000000000000E+00_dp)*0.800000000000000000E+01_dp
     640       953190 :                               CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 89))
     641              :                            ELSE
     642      1042581 :                               TG1 = (2*X1 - 0.687500000000000000E+00_dp)*0.160000000000000000E+02_dp
     643      1042581 :                               TG2 = (2*X2 - 0.625000000000000000E+00_dp)*0.800000000000000000E+01_dp
     644      1042581 :                               CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 90))
     645              :                            END IF
     646              :                         ELSE
     647       403746 :                            IF (X1 <= 0.312500000000000000E+00_dp) THEN
     648       170781 :                               IF (X1 <= 0.281250000000000000E+00_dp) THEN
     649        76098 :                                  TG1 = (2*X1 - 0.531250000000000000E+00_dp)*0.320000000000000000E+02_dp
     650        76098 :                                  TG2 = (2*X2 - 0.875000000000000000E+00_dp)*0.800000000000000000E+01_dp
     651        76098 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 91))
     652              :                               ELSE
     653        94683 :                                  TG1 = (2*X1 - 0.593750000000000000E+00_dp)*0.320000000000000000E+02_dp
     654        94683 :                                  TG2 = (2*X2 - 0.875000000000000000E+00_dp)*0.800000000000000000E+01_dp
     655        94683 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 92))
     656              :                               END IF
     657              :                            ELSE
     658       232965 :                               TG1 = (2*X1 - 0.687500000000000000E+00_dp)*0.160000000000000000E+02_dp
     659       232965 :                               TG2 = (2*X2 - 0.875000000000000000E+00_dp)*0.800000000000000000E+01_dp
     660       232965 :                               CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 93))
     661              :                            END IF
     662              :                         END IF
     663              :                      ELSE
     664      4457091 :                         IF (X1 <= 0.437500000000000000E+00_dp) THEN
     665      1951091 :                            TG1 = (2*X1 - 0.812500000000000000E+00_dp)*0.160000000000000000E+02_dp
     666      1951091 :                            TG2 = (2*X2 - 0.750000000000000000E+00_dp)*0.400000000000000000E+01_dp
     667      1951091 :                            CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 94))
     668              :                         ELSE
     669      2506000 :                            TG1 = (2*X1 - 0.937500000000000000E+00_dp)*0.160000000000000000E+02_dp
     670      2506000 :                            TG2 = (2*X2 - 0.750000000000000000E+00_dp)*0.400000000000000000E+01_dp
     671      2506000 :                            CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 95))
     672              :                         END IF
     673              :                      END IF
     674              :                   END IF
     675              :                END IF
     676              :             ELSE
     677     22888771 :                IF (X1 <= 0.250000000000000000E+00_dp) THEN
     678     13284560 :                   IF (X1 <= 0.125000000000000000E+00_dp) THEN
     679      9627415 :                      IF (X1 <= 0.625000000000000000E-01_dp) THEN
     680      8004957 :                         IF (X1 <= 0.312500000000000000E-01_dp) THEN
     681      7248084 :                            IF (X1 <= 0.156250000000000000E-01_dp) THEN
     682      6776911 :                               IF (X1 <= 0.781250000000000000E-02_dp) THEN
     683      6325664 :                                  IF (X2 <= 0.750000000000000000E+00_dp) THEN
     684      4786730 :                                     TG1 = (2*X1 - 0.781250000000000000E-02_dp)*0.128000000000000000E+03_dp
     685      4786730 :                                     TG2 = (2*X2 - 0.125000000000000000E+01_dp)*0.400000000000000000E+01_dp
     686      4786730 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 96))
     687              :                                  ELSE
     688      1538934 :                                     TG1 = (2*X1 - 0.781250000000000000E-02_dp)*0.128000000000000000E+03_dp
     689      1538934 :                                     TG2 = (2*X2 - 0.175000000000000000E+01_dp)*0.400000000000000000E+01_dp
     690      1538934 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 97))
     691              :                                  END IF
     692              :                               ELSE
     693       451247 :                                  IF (X2 <= 0.750000000000000000E+00_dp) THEN
     694       346229 :                                     TG1 = (2*X1 - 0.234375000000000000E-01_dp)*0.128000000000000000E+03_dp
     695       346229 :                                     TG2 = (2*X2 - 0.125000000000000000E+01_dp)*0.400000000000000000E+01_dp
     696       346229 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 98))
     697              :                                  ELSE
     698       105018 :                                     TG1 = (2*X1 - 0.234375000000000000E-01_dp)*0.128000000000000000E+03_dp
     699       105018 :                                     TG2 = (2*X2 - 0.175000000000000000E+01_dp)*0.400000000000000000E+01_dp
     700       105018 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 99))
     701              :                                  END IF
     702              :                               END IF
     703              :                            ELSE
     704       471173 :                               IF (X2 <= 0.750000000000000000E+00_dp) THEN
     705       255175 :                                  TG1 = (2*X1 - 0.468750000000000000E-01_dp)*0.640000000000000000E+02_dp
     706       255175 :                                  TG2 = (2*X2 - 0.125000000000000000E+01_dp)*0.400000000000000000E+01_dp
     707       255175 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 100))
     708              :                               ELSE
     709       215998 :                                  TG1 = (2*X1 - 0.468750000000000000E-01_dp)*0.640000000000000000E+02_dp
     710       215998 :                                  TG2 = (2*X2 - 0.175000000000000000E+01_dp)*0.400000000000000000E+01_dp
     711       215998 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 101))
     712              :                               END IF
     713              :                            END IF
     714              :                         ELSE
     715       756873 :                            IF (X2 <= 0.750000000000000000E+00_dp) THEN
     716       461127 :                               IF (X2 <= 0.625000000000000000E+00_dp) THEN
     717       272748 :                                  TG1 = (2*X1 - 0.937500000000000000E-01_dp)*0.320000000000000000E+02_dp
     718       272748 :                                  TG2 = (2*X2 - 0.112500000000000000E+01_dp)*0.800000000000000000E+01_dp
     719       272748 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 102))
     720              :                               ELSE
     721       188379 :                                  TG1 = (2*X1 - 0.937500000000000000E-01_dp)*0.320000000000000000E+02_dp
     722       188379 :                                  TG2 = (2*X2 - 0.137500000000000000E+01_dp)*0.800000000000000000E+01_dp
     723       188379 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 103))
     724              :                               END IF
     725              :                            ELSE
     726       295746 :                               IF (X1 <= 0.468750000000000000E-01_dp) THEN
     727       139293 :                                  TG1 = (2*X1 - 0.781250000000000000E-01_dp)*0.640000000000000000E+02_dp
     728       139293 :                                  TG2 = (2*X2 - 0.175000000000000000E+01_dp)*0.400000000000000000E+01_dp
     729       139293 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 104))
     730              :                               ELSE
     731       156453 :                                  TG1 = (2*X1 - 0.109375000000000000E+00_dp)*0.640000000000000000E+02_dp
     732       156453 :                                  TG2 = (2*X2 - 0.175000000000000000E+01_dp)*0.400000000000000000E+01_dp
     733       156453 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 105))
     734              :                               END IF
     735              :                            END IF
     736              :                         END IF
     737              :                      ELSE
     738      1622458 :                         IF (X2 <= 0.750000000000000000E+00_dp) THEN
     739       807538 :                            IF (X2 <= 0.625000000000000000E+00_dp) THEN
     740       343984 :                               IF (X1 <= 0.937500000000000000E-01_dp) THEN
     741       209729 :                                  TG1 = (2*X1 - 0.156250000000000000E+00_dp)*0.320000000000000000E+02_dp
     742       209729 :                                  TG2 = (2*X2 - 0.112500000000000000E+01_dp)*0.800000000000000000E+01_dp
     743       209729 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 106))
     744              :                               ELSE
     745       134255 :                                  TG1 = (2*X1 - 0.218750000000000000E+00_dp)*0.320000000000000000E+02_dp
     746       134255 :                                  TG2 = (2*X2 - 0.112500000000000000E+01_dp)*0.800000000000000000E+01_dp
     747       134255 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 107))
     748              :                               END IF
     749              :                            ELSE
     750       463554 :                               IF (X1 <= 0.937500000000000000E-01_dp) THEN
     751       248181 :                                  TG1 = (2*X1 - 0.156250000000000000E+00_dp)*0.320000000000000000E+02_dp
     752       248181 :                                  TG2 = (2*X2 - 0.137500000000000000E+01_dp)*0.800000000000000000E+01_dp
     753       248181 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 108))
     754              :                               ELSE
     755       215373 :                                  TG1 = (2*X1 - 0.218750000000000000E+00_dp)*0.320000000000000000E+02_dp
     756       215373 :                                  TG2 = (2*X2 - 0.137500000000000000E+01_dp)*0.800000000000000000E+01_dp
     757       215373 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 109))
     758              :                               END IF
     759              :                            END IF
     760              :                         ELSE
     761       814920 :                            IF (X1 <= 0.937500000000000000E-01_dp) THEN
     762       328864 :                               TG1 = (2*X1 - 0.156250000000000000E+00_dp)*0.320000000000000000E+02_dp
     763       328864 :                               TG2 = (2*X2 - 0.175000000000000000E+01_dp)*0.400000000000000000E+01_dp
     764       328864 :                               CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 110))
     765              :                            ELSE
     766       486056 :                               TG1 = (2*X1 - 0.218750000000000000E+00_dp)*0.320000000000000000E+02_dp
     767       486056 :                               TG2 = (2*X2 - 0.175000000000000000E+01_dp)*0.400000000000000000E+01_dp
     768       486056 :                               CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 111))
     769              :                            END IF
     770              :                         END IF
     771              :                      END IF
     772              :                   ELSE
     773      3657145 :                      IF (X2 <= 0.750000000000000000E+00_dp) THEN
     774      1415870 :                         IF (X2 <= 0.625000000000000000E+00_dp) THEN
     775       443403 :                            IF (X1 <= 0.187500000000000000E+00_dp) THEN
     776       230749 :                               IF (X1 <= 0.156250000000000000E+00_dp) THEN
     777       114065 :                                  TG1 = (2*X1 - 0.281250000000000000E+00_dp)*0.320000000000000000E+02_dp
     778       114065 :                                  TG2 = (2*X2 - 0.112500000000000000E+01_dp)*0.800000000000000000E+01_dp
     779       114065 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 112))
     780              :                               ELSE
     781       116684 :                                  TG1 = (2*X1 - 0.343750000000000000E+00_dp)*0.320000000000000000E+02_dp
     782       116684 :                                  TG2 = (2*X2 - 0.112500000000000000E+01_dp)*0.800000000000000000E+01_dp
     783       116684 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 113))
     784              :                               END IF
     785              :                            ELSE
     786       212654 :                               IF (X1 <= 0.218750000000000000E+00_dp) THEN
     787       130698 :                                  TG1 = (2*X1 - 0.406250000000000000E+00_dp)*0.320000000000000000E+02_dp
     788       130698 :                                  TG2 = (2*X2 - 0.112500000000000000E+01_dp)*0.800000000000000000E+01_dp
     789       130698 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 114))
     790              :                               ELSE
     791        81956 :                                  TG1 = (2*X1 - 0.468750000000000000E+00_dp)*0.320000000000000000E+02_dp
     792        81956 :                                  TG2 = (2*X2 - 0.112500000000000000E+01_dp)*0.800000000000000000E+01_dp
     793        81956 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 115))
     794              :                               END IF
     795              :                            END IF
     796              :                         ELSE
     797       972467 :                            IF (X1 <= 0.187500000000000000E+00_dp) THEN
     798       424908 :                               IF (X1 <= 0.156250000000000000E+00_dp) THEN
     799       184861 :                                  TG1 = (2*X1 - 0.281250000000000000E+00_dp)*0.320000000000000000E+02_dp
     800       184861 :                                  TG2 = (2*X2 - 0.137500000000000000E+01_dp)*0.800000000000000000E+01_dp
     801       184861 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 116))
     802              :                               ELSE
     803       240047 :                                  TG1 = (2*X1 - 0.343750000000000000E+00_dp)*0.320000000000000000E+02_dp
     804       240047 :                                  TG2 = (2*X2 - 0.137500000000000000E+01_dp)*0.800000000000000000E+01_dp
     805       240047 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 117))
     806              :                               END IF
     807              :                            ELSE
     808       547559 :                               IF (X1 <= 0.218750000000000000E+00_dp) THEN
     809       270791 :                                  TG1 = (2*X1 - 0.406250000000000000E+00_dp)*0.320000000000000000E+02_dp
     810       270791 :                                  TG2 = (2*X2 - 0.137500000000000000E+01_dp)*0.800000000000000000E+01_dp
     811       270791 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 118))
     812              :                               ELSE
     813       276768 :                                  TG1 = (2*X1 - 0.468750000000000000E+00_dp)*0.320000000000000000E+02_dp
     814       276768 :                                  TG2 = (2*X2 - 0.137500000000000000E+01_dp)*0.800000000000000000E+01_dp
     815       276768 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 119))
     816              :                               END IF
     817              :                            END IF
     818              :                         END IF
     819              :                      ELSE
     820      2241275 :                         IF (X1 <= 0.187500000000000000E+00_dp) THEN
     821      1017115 :                            IF (X2 <= 0.875000000000000000E+00_dp) THEN
     822       535188 :                               TG1 = (2*X1 - 0.312500000000000000E+00_dp)*0.160000000000000000E+02_dp
     823       535188 :                               TG2 = (2*X2 - 0.162500000000000000E+01_dp)*0.800000000000000000E+01_dp
     824       535188 :                               CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 120))
     825              :                            ELSE
     826       481927 :                               TG1 = (2*X1 - 0.312500000000000000E+00_dp)*0.160000000000000000E+02_dp
     827       481927 :                               TG2 = (2*X2 - 0.187500000000000000E+01_dp)*0.800000000000000000E+01_dp
     828       481927 :                               CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 121))
     829              :                            END IF
     830              :                         ELSE
     831      1224160 :                            IF (X2 <= 0.875000000000000000E+00_dp) THEN
     832       687458 :                               IF (X1 <= 0.218750000000000000E+00_dp) THEN
     833       343211 :                                  TG1 = (2*X1 - 0.406250000000000000E+00_dp)*0.320000000000000000E+02_dp
     834       343211 :                                  TG2 = (2*X2 - 0.162500000000000000E+01_dp)*0.800000000000000000E+01_dp
     835       343211 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 122))
     836              :                               ELSE
     837       344247 :                                  TG1 = (2*X1 - 0.468750000000000000E+00_dp)*0.320000000000000000E+02_dp
     838       344247 :                                  TG2 = (2*X2 - 0.162500000000000000E+01_dp)*0.800000000000000000E+01_dp
     839       344247 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 123))
     840              :                               END IF
     841              :                            ELSE
     842       536702 :                               TG1 = (2*X1 - 0.437500000000000000E+00_dp)*0.160000000000000000E+02_dp
     843       536702 :                               TG2 = (2*X2 - 0.187500000000000000E+01_dp)*0.800000000000000000E+01_dp
     844       536702 :                               CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 124))
     845              :                            END IF
     846              :                         END IF
     847              :                      END IF
     848              :                   END IF
     849              :                ELSE
     850      9604211 :                   IF (X1 <= 0.375000000000000000E+00_dp) THEN
     851      4345103 :                      IF (X2 <= 0.750000000000000000E+00_dp) THEN
     852      1572202 :                         IF (X1 <= 0.312500000000000000E+00_dp) THEN
     853       740780 :                            IF (X2 <= 0.625000000000000000E+00_dp) THEN
     854       181971 :                               IF (X1 <= 0.281250000000000000E+00_dp) THEN
     855        90324 :                                  TG1 = (2*X1 - 0.531250000000000000E+00_dp)*0.320000000000000000E+02_dp
     856        90324 :                                  TG2 = (2*X2 - 0.112500000000000000E+01_dp)*0.800000000000000000E+01_dp
     857        90324 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 125))
     858              :                               ELSE
     859        91647 :                                  TG1 = (2*X1 - 0.593750000000000000E+00_dp)*0.320000000000000000E+02_dp
     860        91647 :                                  TG2 = (2*X2 - 0.112500000000000000E+01_dp)*0.800000000000000000E+01_dp
     861        91647 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 126))
     862              :                               END IF
     863              :                            ELSE
     864       558809 :                               IF (X1 <= 0.281250000000000000E+00_dp) THEN
     865       276152 :                                  TG1 = (2*X1 - 0.531250000000000000E+00_dp)*0.320000000000000000E+02_dp
     866       276152 :                                  TG2 = (2*X2 - 0.137500000000000000E+01_dp)*0.800000000000000000E+01_dp
     867       276152 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 127))
     868              :                               ELSE
     869       282657 :                                  TG1 = (2*X1 - 0.593750000000000000E+00_dp)*0.320000000000000000E+02_dp
     870       282657 :                                  TG2 = (2*X2 - 0.137500000000000000E+01_dp)*0.800000000000000000E+01_dp
     871       282657 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 128))
     872              :                               END IF
     873              :                            END IF
     874              :                         ELSE
     875       831422 :                            IF (X2 <= 0.625000000000000000E+00_dp) THEN
     876       178774 :                               TG1 = (2*X1 - 0.687500000000000000E+00_dp)*0.160000000000000000E+02_dp
     877       178774 :                               TG2 = (2*X2 - 0.112500000000000000E+01_dp)*0.800000000000000000E+01_dp
     878       178774 :                               CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 129))
     879              :                            ELSE
     880       652648 :                               IF (X1 <= 0.343750000000000000E+00_dp) THEN
     881       318915 :                                  TG1 = (2*X1 - 0.656250000000000000E+00_dp)*0.320000000000000000E+02_dp
     882       318915 :                                  TG2 = (2*X2 - 0.137500000000000000E+01_dp)*0.800000000000000000E+01_dp
     883       318915 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 130))
     884              :                               ELSE
     885       333733 :                                  TG1 = (2*X1 - 0.718750000000000000E+00_dp)*0.320000000000000000E+02_dp
     886       333733 :                                  TG2 = (2*X2 - 0.137500000000000000E+01_dp)*0.800000000000000000E+01_dp
     887       333733 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 131))
     888              :                               END IF
     889              :                            END IF
     890              :                         END IF
     891              :                      ELSE
     892      2772901 :                         IF (X1 <= 0.312500000000000000E+00_dp) THEN
     893      1357658 :                            IF (X2 <= 0.875000000000000000E+00_dp) THEN
     894       761286 :                               IF (X1 <= 0.281250000000000000E+00_dp) THEN
     895       371281 :                                  TG1 = (2*X1 - 0.531250000000000000E+00_dp)*0.320000000000000000E+02_dp
     896       371281 :                                  TG2 = (2*X2 - 0.162500000000000000E+01_dp)*0.800000000000000000E+01_dp
     897       371281 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 132))
     898              :                               ELSE
     899       390005 :                                  TG1 = (2*X1 - 0.593750000000000000E+00_dp)*0.320000000000000000E+02_dp
     900       390005 :                                  TG2 = (2*X2 - 0.162500000000000000E+01_dp)*0.800000000000000000E+01_dp
     901       390005 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 133))
     902              :                               END IF
     903              :                            ELSE
     904       596372 :                               IF (X1 <= 0.281250000000000000E+00_dp) THEN
     905       304946 :                                  TG1 = (2*X1 - 0.531250000000000000E+00_dp)*0.320000000000000000E+02_dp
     906       304946 :                                  TG2 = (2*X2 - 0.187500000000000000E+01_dp)*0.800000000000000000E+01_dp
     907       304946 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 134))
     908              :                               ELSE
     909       291426 :                                  TG1 = (2*X1 - 0.593750000000000000E+00_dp)*0.320000000000000000E+02_dp
     910       291426 :                                  TG2 = (2*X2 - 0.187500000000000000E+01_dp)*0.800000000000000000E+01_dp
     911       291426 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 135))
     912              :                               END IF
     913              :                            END IF
     914              :                         ELSE
     915      1415243 :                            IF (X2 <= 0.875000000000000000E+00_dp) THEN
     916       802228 :                               IF (X1 <= 0.343750000000000000E+00_dp) THEN
     917       352134 :                                  TG1 = (2*X1 - 0.656250000000000000E+00_dp)*0.320000000000000000E+02_dp
     918       352134 :                                  TG2 = (2*X2 - 0.162500000000000000E+01_dp)*0.800000000000000000E+01_dp
     919       352134 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 136))
     920              :                               ELSE
     921       450094 :                                  TG1 = (2*X1 - 0.718750000000000000E+00_dp)*0.320000000000000000E+02_dp
     922       450094 :                                  TG2 = (2*X2 - 0.162500000000000000E+01_dp)*0.800000000000000000E+01_dp
     923       450094 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 137))
     924              :                               END IF
     925              :                            ELSE
     926       613015 :                               TG1 = (2*X1 - 0.687500000000000000E+00_dp)*0.160000000000000000E+02_dp
     927       613015 :                               TG2 = (2*X2 - 0.187500000000000000E+01_dp)*0.800000000000000000E+01_dp
     928       613015 :                               CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 138))
     929              :                            END IF
     930              :                         END IF
     931              :                      END IF
     932              :                   ELSE
     933      5259108 :                      IF (X2 <= 0.750000000000000000E+00_dp) THEN
     934      1792224 :                         IF (X1 <= 0.437500000000000000E+00_dp) THEN
     935       858553 :                            IF (X2 <= 0.625000000000000000E+00_dp) THEN
     936       179716 :                               TG1 = (2*X1 - 0.812500000000000000E+00_dp)*0.160000000000000000E+02_dp
     937       179716 :                               TG2 = (2*X2 - 0.112500000000000000E+01_dp)*0.800000000000000000E+01_dp
     938       179716 :                               CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 139))
     939              :                            ELSE
     940       678837 :                               TG1 = (2*X1 - 0.812500000000000000E+00_dp)*0.160000000000000000E+02_dp
     941       678837 :                               TG2 = (2*X2 - 0.137500000000000000E+01_dp)*0.800000000000000000E+01_dp
     942       678837 :                               CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 140))
     943              :                            END IF
     944              :                         ELSE
     945       933671 :                            TG1 = (2*X1 - 0.937500000000000000E+00_dp)*0.160000000000000000E+02_dp
     946       933671 :                            TG2 = (2*X2 - 0.125000000000000000E+01_dp)*0.400000000000000000E+01_dp
     947       933671 :                            CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 141))
     948              :                         END IF
     949              :                      ELSE
     950      3466884 :                         IF (X1 <= 0.437500000000000000E+00_dp) THEN
     951      1690248 :                            IF (X2 <= 0.875000000000000000E+00_dp) THEN
     952       948998 :                               TG1 = (2*X1 - 0.812500000000000000E+00_dp)*0.160000000000000000E+02_dp
     953       948998 :                               TG2 = (2*X2 - 0.162500000000000000E+01_dp)*0.800000000000000000E+01_dp
     954       948998 :                               CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 142))
     955              :                            ELSE
     956       741250 :                               TG1 = (2*X1 - 0.812500000000000000E+00_dp)*0.160000000000000000E+02_dp
     957       741250 :                               TG2 = (2*X2 - 0.187500000000000000E+01_dp)*0.800000000000000000E+01_dp
     958       741250 :                               CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 143))
     959              :                            END IF
     960              :                         ELSE
     961      1776636 :                            IF (X2 <= 0.875000000000000000E+00_dp) THEN
     962       935582 :                               TG1 = (2*X1 - 0.937500000000000000E+00_dp)*0.160000000000000000E+02_dp
     963       935582 :                               TG2 = (2*X2 - 0.162500000000000000E+01_dp)*0.800000000000000000E+01_dp
     964       935582 :                               CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 144))
     965              :                            ELSE
     966       841054 :                               TG1 = (2*X1 - 0.937500000000000000E+00_dp)*0.160000000000000000E+02_dp
     967       841054 :                               TG2 = (2*X2 - 0.187500000000000000E+01_dp)*0.800000000000000000E+01_dp
     968       841054 :                               CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 145))
     969              :                            END IF
     970              :                         END IF
     971              :                      END IF
     972              :                   END IF
     973              :                END IF
     974              :             END IF
     975              :          ELSE
     976     75023832 :             IF (X1 <= 0.750000000000000000E+00_dp) THEN
     977     57086634 :                IF (X2 <= 0.500000000000000000E+00_dp) THEN
     978     44855802 :                   IF (X1 <= 0.625000000000000000E+00_dp) THEN
     979     28482509 :                      IF (X2 <= 0.250000000000000000E+00_dp) THEN
     980     22353445 :                         TG1 = (2*X1 - 0.112500000000000000E+01_dp)*0.800000000000000000E+01_dp
     981     22353445 :                         TG2 = (2*X2 - 0.250000000000000000E+00_dp)*0.400000000000000000E+01_dp
     982     22353445 :                         CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 146))
     983              :                      ELSE
     984      6129064 :                         TG1 = (2*X1 - 0.112500000000000000E+01_dp)*0.800000000000000000E+01_dp
     985      6129064 :                         TG2 = (2*X2 - 0.750000000000000000E+00_dp)*0.400000000000000000E+01_dp
     986      6129064 :                         CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 147))
     987              :                      END IF
     988              :                   ELSE
     989     16373293 :                      TG1 = (2*X1 - 0.137500000000000000E+01_dp)*0.800000000000000000E+01_dp
     990     16373293 :                      TG2 = (2*X2 - 0.500000000000000000E+00_dp)*0.200000000000000000E+01_dp
     991     16373293 :                      CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 148))
     992              :                   END IF
     993              :                ELSE
     994     12230832 :                   IF (X1 <= 0.625000000000000000E+00_dp) THEN
     995      5949303 :                      IF (X2 <= 0.750000000000000000E+00_dp) THEN
     996      2065333 :                         IF (X1 <= 0.562500000000000000E+00_dp) THEN
     997      1027987 :                            TG1 = (2*X1 - 0.106250000000000000E+01_dp)*0.160000000000000000E+02_dp
     998      1027987 :                            TG2 = (2*X2 - 0.125000000000000000E+01_dp)*0.400000000000000000E+01_dp
     999      1027987 :                            CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 149))
    1000              :                         ELSE
    1001      1037346 :                            TG1 = (2*X1 - 0.118750000000000000E+01_dp)*0.160000000000000000E+02_dp
    1002      1037346 :                            TG2 = (2*X2 - 0.125000000000000000E+01_dp)*0.400000000000000000E+01_dp
    1003      1037346 :                            CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 150))
    1004              :                         END IF
    1005              :                      ELSE
    1006      3883970 :                         IF (X1 <= 0.562500000000000000E+00_dp) THEN
    1007      1897806 :                            TG1 = (2*X1 - 0.106250000000000000E+01_dp)*0.160000000000000000E+02_dp
    1008      1897806 :                            TG2 = (2*X2 - 0.175000000000000000E+01_dp)*0.400000000000000000E+01_dp
    1009      1897806 :                            CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 151))
    1010              :                         ELSE
    1011      1986164 :                            TG1 = (2*X1 - 0.118750000000000000E+01_dp)*0.160000000000000000E+02_dp
    1012      1986164 :                            TG2 = (2*X2 - 0.175000000000000000E+01_dp)*0.400000000000000000E+01_dp
    1013      1986164 :                            CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 152))
    1014              :                         END IF
    1015              :                      END IF
    1016              :                   ELSE
    1017      6281529 :                      IF (X1 <= 0.687500000000000000E+00_dp) THEN
    1018      3149970 :                         TG1 = (2*X1 - 0.131250000000000000E+01_dp)*0.160000000000000000E+02_dp
    1019      3149970 :                         TG2 = (2*X2 - 0.150000000000000000E+01_dp)*0.200000000000000000E+01_dp
    1020      3149970 :                         CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 153))
    1021              :                      ELSE
    1022      3131559 :                         TG1 = (2*X1 - 0.143750000000000000E+01_dp)*0.160000000000000000E+02_dp
    1023      3131559 :                         TG2 = (2*X2 - 0.150000000000000000E+01_dp)*0.200000000000000000E+01_dp
    1024      3131559 :                         CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 154))
    1025              :                      END IF
    1026              :                   END IF
    1027              :                END IF
    1028              :             ELSE
    1029     17937198 :                TG1 = (2*X1 - 0.175000000000000000E+01_dp)*0.400000000000000000E+01_dp
    1030     17937198 :                TG2 = (2*X2 - 0.100000000000000000E+01_dp)*0.100000000000000000E+01_dp
    1031     17937198 :                CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 155))
    1032              :             END IF
    1033              :          END IF
    1034              :       ELSE
    1035     40399379 :          IF (T < lower) THEN
    1036      8113899 :             use_gamma = .TRUE.
    1037      8113899 :             RETURN
    1038              :          END IF
    1039     32285480 :          X2 = 11.0_dp/R
    1040     32285480 :          X1 = (T - lower)/(upper - lower)
    1041     32285480 :          IF (X1 <= 0.500000000000000000E+00_dp) THEN
    1042     13064869 :             IF (X1 <= 0.250000000000000000E+00_dp) THEN
    1043      6044567 :                IF (X2 <= 0.500000000000000000E+00_dp) THEN
    1044       491308 :                   IF (X1 <= 0.125000000000000000E+00_dp) THEN
    1045       261807 :                      IF (X2 <= 0.250000000000000000E+00_dp) THEN
    1046         2618 :                         TG1 = (2*X1 - 0.125000000000000000E+00_dp)*0.800000000000000000E+01_dp
    1047         2618 :                         TG2 = (2*X2 - 0.250000000000000000E+00_dp)*0.400000000000000000E+01_dp
    1048         2618 :                         CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 156))
    1049              :                      ELSE
    1050       259189 :                         TG1 = (2*X1 - 0.125000000000000000E+00_dp)*0.800000000000000000E+01_dp
    1051       259189 :                         TG2 = (2*X2 - 0.750000000000000000E+00_dp)*0.400000000000000000E+01_dp
    1052       259189 :                         CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 157))
    1053              :                      END IF
    1054              :                   ELSE
    1055       229501 :                      TG1 = (2*X1 - 0.375000000000000000E+00_dp)*0.800000000000000000E+01_dp
    1056       229501 :                      TG2 = (2*X2 - 0.500000000000000000E+00_dp)*0.200000000000000000E+01_dp
    1057       229501 :                      CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 158))
    1058              :                   END IF
    1059              :                ELSE
    1060      5553259 :                   IF (X1 <= 0.125000000000000000E+00_dp) THEN
    1061      2517458 :                      IF (X2 <= 0.750000000000000000E+00_dp) THEN
    1062      1192461 :                         IF (X2 <= 0.625000000000000000E+00_dp) THEN
    1063       479206 :                            TG1 = (2*X1 - 0.125000000000000000E+00_dp)*0.800000000000000000E+01_dp
    1064       479206 :                            TG2 = (2*X2 - 0.112500000000000000E+01_dp)*0.800000000000000000E+01_dp
    1065       479206 :                            CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 159))
    1066              :                         ELSE
    1067       713255 :                            IF (X1 <= 0.625000000000000000E-01_dp) THEN
    1068       316758 :                               TG1 = (2*X1 - 0.625000000000000000E-01_dp)*0.160000000000000000E+02_dp
    1069       316758 :                               TG2 = (2*X2 - 0.137500000000000000E+01_dp)*0.800000000000000000E+01_dp
    1070       316758 :                               CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 160))
    1071              :                            ELSE
    1072       396497 :                               TG1 = (2*X1 - 0.187500000000000000E+00_dp)*0.160000000000000000E+02_dp
    1073       396497 :                               TG2 = (2*X2 - 0.137500000000000000E+01_dp)*0.800000000000000000E+01_dp
    1074       396497 :                               CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 161))
    1075              :                            END IF
    1076              :                         END IF
    1077              :                      ELSE
    1078      1324997 :                         IF (X1 <= 0.625000000000000000E-01_dp) THEN
    1079       538235 :                            IF (X2 <= 0.875000000000000000E+00_dp) THEN
    1080       342833 :                               IF (X1 <= 0.312500000000000000E-01_dp) THEN
    1081       152887 :                                  IF (X2 <= 0.812500000000000000E+00_dp) THEN
    1082       106448 :                                     TG1 = (2*X1 - 0.312500000000000000E-01_dp)*0.320000000000000000E+02_dp
    1083       106448 :                                     TG2 = (2*X2 - 0.156250000000000000E+01_dp)*0.160000000000000000E+02_dp
    1084       106448 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 162))
    1085              :                                  ELSE
    1086        46439 :                                     TG1 = (2*X1 - 0.312500000000000000E-01_dp)*0.320000000000000000E+02_dp
    1087        46439 :                                     TG2 = (2*X2 - 0.168750000000000000E+01_dp)*0.160000000000000000E+02_dp
    1088        46439 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 163))
    1089              :                                  END IF
    1090              :                               ELSE
    1091       189946 :                                  TG1 = (2*X1 - 0.937500000000000000E-01_dp)*0.320000000000000000E+02_dp
    1092       189946 :                                  TG2 = (2*X2 - 0.162500000000000000E+01_dp)*0.800000000000000000E+01_dp
    1093       189946 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 164))
    1094              :                               END IF
    1095              :                            ELSE
    1096       195402 :                               IF (X1 <= 0.312500000000000000E-01_dp) THEN
    1097        91443 :                                  IF (X2 <= 0.937500000000000000E+00_dp) THEN
    1098        36408 :                                     IF (X1 <= 0.156250000000000000E-01_dp) THEN
    1099        14212 :                                        IF (X2 <= 0.906250000000000000E+00_dp) THEN
    1100         6092 :                                           TG1 = (2*X1 - 0.156250000000000000E-01_dp)*0.640000000000000000E+02_dp
    1101         6092 :                                           TG2 = (2*X2 - 0.178125000000000000E+01_dp)*0.320000000000000000E+02_dp
    1102         6092 :                                           CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 165))
    1103              :                                        ELSE
    1104         8120 :                                           TG1 = (2*X1 - 0.156250000000000000E-01_dp)*0.640000000000000000E+02_dp
    1105         8120 :                                           TG2 = (2*X2 - 0.184375000000000000E+01_dp)*0.320000000000000000E+02_dp
    1106         8120 :                                           CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 166))
    1107              :                                        END IF
    1108              :                                     ELSE
    1109        22196 :                                        TG1 = (2*X1 - 0.468750000000000000E-01_dp)*0.640000000000000000E+02_dp
    1110        22196 :                                        TG2 = (2*X2 - 0.181250000000000000E+01_dp)*0.160000000000000000E+02_dp
    1111        22196 :                                        CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 167))
    1112              :                                     END IF
    1113              :                                  ELSE
    1114        55035 :                                     IF (X1 <= 0.156250000000000000E-01_dp) THEN
    1115        27043 :                                        IF (X2 <= 0.968750000000000000E+00_dp) THEN
    1116        16885 :                                           IF (X1 <= 0.781250000000000000E-02_dp) THEN
    1117         8754 :                                              IF (X2 <= 0.953125000000000000E+00_dp) THEN
    1118         3460 :                                                 TG1 = (2*X1 - 0.781250000000000000E-02_dp)*0.128000000000000000E+03_dp
    1119         3460 :                                                 TG2 = (2*X2 - 0.189062500000000000E+01_dp)*0.640000000000000000E+02_dp
    1120         3460 :                                                 CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 168))
    1121              :                                              ELSE
    1122         5294 :                                                 TG1 = (2*X1 - 0.781250000000000000E-02_dp)*0.128000000000000000E+03_dp
    1123         5294 :                                                 TG2 = (2*X2 - 0.192187500000000000E+01_dp)*0.640000000000000000E+02_dp
    1124         5294 :                                                 CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 169))
    1125              :                                              END IF
    1126              :                                           ELSE
    1127         8131 :                                              TG1 = (2*X1 - 0.234375000000000000E-01_dp)*0.128000000000000000E+03_dp
    1128         8131 :                                              TG2 = (2*X2 - 0.190625000000000000E+01_dp)*0.320000000000000000E+02_dp
    1129         8131 :                                              CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 170))
    1130              :                                           END IF
    1131              :                                        ELSE
    1132        10158 :                                           IF (X1 <= 0.781250000000000000E-02_dp) THEN
    1133         4048 :                                              IF (X2 <= 0.984375000000000000E+00_dp) THEN
    1134         1365 :                                                 TG1 = (2*X1 - 0.781250000000000000E-02_dp)*0.128000000000000000E+03_dp
    1135         1365 :                                                 TG2 = (2*X2 - 0.195312500000000000E+01_dp)*0.640000000000000000E+02_dp
    1136         1365 :                                                 CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 171))
    1137              :                                              ELSE
    1138         2683 :                                                 TG1 = (2*X1 - 0.781250000000000000E-02_dp)*0.128000000000000000E+03_dp
    1139         2683 :                                                 TG2 = (2*X2 - 0.198437500000000000E+01_dp)*0.640000000000000000E+02_dp
    1140         2683 :                                                 CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 172))
    1141              :                                              END IF
    1142              :                                           ELSE
    1143         6110 :                                              IF (X2 <= 0.984375000000000000E+00_dp) THEN
    1144         1363 :                                                 TG1 = (2*X1 - 0.234375000000000000E-01_dp)*0.128000000000000000E+03_dp
    1145         1363 :                                                 TG2 = (2*X2 - 0.195312500000000000E+01_dp)*0.640000000000000000E+02_dp
    1146         1363 :                                                 CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 173))
    1147              :                                              ELSE
    1148         4747 :                                                 TG1 = (2*X1 - 0.234375000000000000E-01_dp)*0.128000000000000000E+03_dp
    1149         4747 :                                                 TG2 = (2*X2 - 0.198437500000000000E+01_dp)*0.640000000000000000E+02_dp
    1150         4747 :                                                 CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 174))
    1151              :                                              END IF
    1152              :                                           END IF
    1153              :                                        END IF
    1154              :                                     ELSE
    1155        27992 :                                        IF (X2 <= 0.968750000000000000E+00_dp) THEN
    1156        12699 :                                           TG1 = (2*X1 - 0.468750000000000000E-01_dp)*0.640000000000000000E+02_dp
    1157        12699 :                                           TG2 = (2*X2 - 0.190625000000000000E+01_dp)*0.320000000000000000E+02_dp
    1158        12699 :                                           CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 175))
    1159              :                                        ELSE
    1160        15293 :                                           IF (X1 <= 0.234375000000000000E-01_dp) THEN
    1161         7764 :                                              TG1 = (2*X1 - 0.390625000000000000E-01_dp)*0.128000000000000000E+03_dp
    1162         7764 :                                              TG2 = (2*X2 - 0.196875000000000000E+01_dp)*0.320000000000000000E+02_dp
    1163         7764 :                                              CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 176))
    1164              :                                           ELSE
    1165         7529 :                                              TG1 = (2*X1 - 0.546875000000000000E-01_dp)*0.128000000000000000E+03_dp
    1166         7529 :                                              TG2 = (2*X2 - 0.196875000000000000E+01_dp)*0.320000000000000000E+02_dp
    1167         7529 :                                              CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 177))
    1168              :                                           END IF
    1169              :                                        END IF
    1170              :                                     END IF
    1171              :                                  END IF
    1172              :                               ELSE
    1173       103959 :                                  IF (X2 <= 0.937500000000000000E+00_dp) THEN
    1174        43513 :                                     TG1 = (2*X1 - 0.937500000000000000E-01_dp)*0.320000000000000000E+02_dp
    1175        43513 :                                     TG2 = (2*X2 - 0.181250000000000000E+01_dp)*0.160000000000000000E+02_dp
    1176        43513 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 178))
    1177              :                                  ELSE
    1178        60446 :                                     IF (X1 <= 0.468750000000000000E-01_dp) THEN
    1179        28477 :                                        IF (X2 <= 0.968750000000000000E+00_dp) THEN
    1180        20563 :                                           TG1 = (2*X1 - 0.781250000000000000E-01_dp)*0.640000000000000000E+02_dp
    1181        20563 :                                           TG2 = (2*X2 - 0.190625000000000000E+01_dp)*0.320000000000000000E+02_dp
    1182        20563 :                                           CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 179))
    1183              :                                        ELSE
    1184         7914 :                                           TG1 = (2*X1 - 0.781250000000000000E-01_dp)*0.640000000000000000E+02_dp
    1185         7914 :                                           TG2 = (2*X2 - 0.196875000000000000E+01_dp)*0.320000000000000000E+02_dp
    1186         7914 :                                           CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 180))
    1187              :                                        END IF
    1188              :                                     ELSE
    1189        31969 :                                        TG1 = (2*X1 - 0.109375000000000000E+00_dp)*0.640000000000000000E+02_dp
    1190        31969 :                                        TG2 = (2*X2 - 0.193750000000000000E+01_dp)*0.160000000000000000E+02_dp
    1191        31969 :                                        CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 181))
    1192              :                                     END IF
    1193              :                                  END IF
    1194              :                               END IF
    1195              :                            END IF
    1196              :                         ELSE
    1197       786762 :                            IF (X2 <= 0.875000000000000000E+00_dp) THEN
    1198       450753 :                               TG1 = (2*X1 - 0.187500000000000000E+00_dp)*0.160000000000000000E+02_dp
    1199       450753 :                               TG2 = (2*X2 - 0.162500000000000000E+01_dp)*0.800000000000000000E+01_dp
    1200       450753 :                               CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 182))
    1201              :                            ELSE
    1202       336009 :                               IF (X1 <= 0.937500000000000000E-01_dp) THEN
    1203       140837 :                                  IF (X2 <= 0.937500000000000000E+00_dp) THEN
    1204        82253 :                                     TG1 = (2*X1 - 0.156250000000000000E+00_dp)*0.320000000000000000E+02_dp
    1205        82253 :                                     TG2 = (2*X2 - 0.181250000000000000E+01_dp)*0.160000000000000000E+02_dp
    1206        82253 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 183))
    1207              :                                  ELSE
    1208        58584 :                                     TG1 = (2*X1 - 0.156250000000000000E+00_dp)*0.320000000000000000E+02_dp
    1209        58584 :                                     TG2 = (2*X2 - 0.193750000000000000E+01_dp)*0.160000000000000000E+02_dp
    1210        58584 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 184))
    1211              :                                  END IF
    1212              :                               ELSE
    1213       195172 :                                  TG1 = (2*X1 - 0.218750000000000000E+00_dp)*0.320000000000000000E+02_dp
    1214       195172 :                                  TG2 = (2*X2 - 0.187500000000000000E+01_dp)*0.800000000000000000E+01_dp
    1215       195172 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 185))
    1216              :                               END IF
    1217              :                            END IF
    1218              :                         END IF
    1219              :                      END IF
    1220              :                   ELSE
    1221      3035801 :                      IF (X2 <= 0.750000000000000000E+00_dp) THEN
    1222      1137598 :                         TG1 = (2*X1 - 0.375000000000000000E+00_dp)*0.800000000000000000E+01_dp
    1223      1137598 :                         TG2 = (2*X2 - 0.125000000000000000E+01_dp)*0.400000000000000000E+01_dp
    1224      1137598 :                         CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 186))
    1225              :                      ELSE
    1226      1898203 :                         IF (X1 <= 0.187500000000000000E+00_dp) THEN
    1227       904180 :                            IF (X2 <= 0.875000000000000000E+00_dp) THEN
    1228       493739 :                               TG1 = (2*X1 - 0.312500000000000000E+00_dp)*0.160000000000000000E+02_dp
    1229       493739 :                               TG2 = (2*X2 - 0.162500000000000000E+01_dp)*0.800000000000000000E+01_dp
    1230       493739 :                               CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 187))
    1231              :                            ELSE
    1232       410441 :                               TG1 = (2*X1 - 0.312500000000000000E+00_dp)*0.160000000000000000E+02_dp
    1233       410441 :                               TG2 = (2*X2 - 0.187500000000000000E+01_dp)*0.800000000000000000E+01_dp
    1234       410441 :                               CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 188))
    1235              :                            END IF
    1236              :                         ELSE
    1237       994023 :                            TG1 = (2*X1 - 0.437500000000000000E+00_dp)*0.160000000000000000E+02_dp
    1238       994023 :                            TG2 = (2*X2 - 0.175000000000000000E+01_dp)*0.400000000000000000E+01_dp
    1239       994023 :                            CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 189))
    1240              :                         END IF
    1241              :                      END IF
    1242              :                   END IF
    1243              :                END IF
    1244              :             ELSE
    1245      7020302 :                IF (X1 <= 0.375000000000000000E+00_dp) THEN
    1246      2883292 :                   IF (X1 <= 0.312500000000000000E+00_dp) THEN
    1247      1418399 :                      IF (X1 <= 0.281250000000000000E+00_dp) THEN
    1248       711948 :                         TG1 = (2*X1 - 0.531250000000000000E+00_dp)*0.320000000000000000E+02_dp
    1249       711948 :                         TG2 = (2*X2 - 0.100000000000000000E+01_dp)*0.100000000000000000E+01_dp
    1250       711948 :                         CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 190))
    1251              :                      ELSE
    1252       706451 :                         TG1 = (2*X1 - 0.593750000000000000E+00_dp)*0.320000000000000000E+02_dp
    1253       706451 :                         TG2 = (2*X2 - 0.100000000000000000E+01_dp)*0.100000000000000000E+01_dp
    1254       706451 :                         CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 191))
    1255              :                      END IF
    1256              :                   ELSE
    1257      1464893 :                      IF (X2 <= 0.500000000000000000E+00_dp) THEN
    1258        78836 :                         TG1 = (2*X1 - 0.687500000000000000E+00_dp)*0.160000000000000000E+02_dp
    1259        78836 :                         TG2 = (2*X2 - 0.500000000000000000E+00_dp)*0.200000000000000000E+01_dp
    1260        78836 :                         CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 192))
    1261              :                      ELSE
    1262      1386057 :                         TG1 = (2*X1 - 0.687500000000000000E+00_dp)*0.160000000000000000E+02_dp
    1263      1386057 :                         TG2 = (2*X2 - 0.150000000000000000E+01_dp)*0.200000000000000000E+01_dp
    1264      1386057 :                         CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 193))
    1265              :                      END IF
    1266              :                   END IF
    1267              :                ELSE
    1268      4137010 :                   IF (X1 <= 0.437500000000000000E+00_dp) THEN
    1269      1522046 :                      IF (X2 <= 0.500000000000000000E+00_dp) THEN
    1270        65829 :                         TG1 = (2*X1 - 0.812500000000000000E+00_dp)*0.160000000000000000E+02_dp
    1271        65829 :                         TG2 = (2*X2 - 0.500000000000000000E+00_dp)*0.200000000000000000E+01_dp
    1272        65829 :                         CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 194))
    1273              :                      ELSE
    1274      1456217 :                         IF (X1 <= 0.406250000000000000E+00_dp) THEN
    1275       643918 :                            TG1 = (2*X1 - 0.781250000000000000E+00_dp)*0.320000000000000000E+02_dp
    1276       643918 :                            TG2 = (2*X2 - 0.150000000000000000E+01_dp)*0.200000000000000000E+01_dp
    1277       643918 :                            CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 195))
    1278              :                         ELSE
    1279       812299 :                            TG1 = (2*X1 - 0.843750000000000000E+00_dp)*0.320000000000000000E+02_dp
    1280       812299 :                            TG2 = (2*X2 - 0.150000000000000000E+01_dp)*0.200000000000000000E+01_dp
    1281       812299 :                            CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 196))
    1282              :                         END IF
    1283              :                      END IF
    1284              :                   ELSE
    1285      2614964 :                      IF (X2 <= 0.500000000000000000E+00_dp) THEN
    1286       358837 :                         TG1 = (2*X1 - 0.937500000000000000E+00_dp)*0.160000000000000000E+02_dp
    1287       358837 :                         TG2 = (2*X2 - 0.500000000000000000E+00_dp)*0.200000000000000000E+01_dp
    1288       358837 :                         CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 197))
    1289              :                      ELSE
    1290      2256127 :                         TG1 = (2*X1 - 0.937500000000000000E+00_dp)*0.160000000000000000E+02_dp
    1291      2256127 :                         TG2 = (2*X2 - 0.150000000000000000E+01_dp)*0.200000000000000000E+01_dp
    1292      2256127 :                         CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 198))
    1293              :                      END IF
    1294              :                   END IF
    1295              :                END IF
    1296              :             END IF
    1297              :          ELSE
    1298     19220611 :             IF (X1 <= 0.750000000000000000E+00_dp) THEN
    1299     11486132 :                IF (X1 <= 0.625000000000000000E+00_dp) THEN
    1300      5397403 :                   IF (X2 <= 0.500000000000000000E+00_dp) THEN
    1301       221576 :                      IF (X1 <= 0.562500000000000000E+00_dp) THEN
    1302        97399 :                         TG1 = (2*X1 - 0.106250000000000000E+01_dp)*0.160000000000000000E+02_dp
    1303        97399 :                         TG2 = (2*X2 - 0.500000000000000000E+00_dp)*0.200000000000000000E+01_dp
    1304        97399 :                         CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 199))
    1305              :                      ELSE
    1306       124177 :                         TG1 = (2*X1 - 0.118750000000000000E+01_dp)*0.160000000000000000E+02_dp
    1307       124177 :                         TG2 = (2*X2 - 0.500000000000000000E+00_dp)*0.200000000000000000E+01_dp
    1308       124177 :                         CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 200))
    1309              :                      END IF
    1310              :                   ELSE
    1311      5175827 :                      IF (X1 <= 0.562500000000000000E+00_dp) THEN
    1312      2387475 :                         TG1 = (2*X1 - 0.106250000000000000E+01_dp)*0.160000000000000000E+02_dp
    1313      2387475 :                         TG2 = (2*X2 - 0.150000000000000000E+01_dp)*0.200000000000000000E+01_dp
    1314      2387475 :                         CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 201))
    1315              :                      ELSE
    1316      2788352 :                         TG1 = (2*X1 - 0.118750000000000000E+01_dp)*0.160000000000000000E+02_dp
    1317      2788352 :                         TG2 = (2*X2 - 0.150000000000000000E+01_dp)*0.200000000000000000E+01_dp
    1318      2788352 :                         CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 202))
    1319              :                      END IF
    1320              :                   END IF
    1321              :                ELSE
    1322      6088729 :                   IF (X2 <= 0.500000000000000000E+00_dp) THEN
    1323       558111 :                      IF (X1 <= 0.687500000000000000E+00_dp) THEN
    1324       202501 :                         TG1 = (2*X1 - 0.131250000000000000E+01_dp)*0.160000000000000000E+02_dp
    1325       202501 :                         TG2 = (2*X2 - 0.500000000000000000E+00_dp)*0.200000000000000000E+01_dp
    1326       202501 :                         CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 203))
    1327              :                      ELSE
    1328       355610 :                         TG1 = (2*X1 - 0.143750000000000000E+01_dp)*0.160000000000000000E+02_dp
    1329       355610 :                         TG2 = (2*X2 - 0.500000000000000000E+00_dp)*0.200000000000000000E+01_dp
    1330       355610 :                         CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 204))
    1331              :                      END IF
    1332              :                   ELSE
    1333      5530618 :                      TG1 = (2*X1 - 0.137500000000000000E+01_dp)*0.800000000000000000E+01_dp
    1334      5530618 :                      TG2 = (2*X2 - 0.150000000000000000E+01_dp)*0.200000000000000000E+01_dp
    1335      5530618 :                      CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 205))
    1336              :                   END IF
    1337              :                END IF
    1338              :             ELSE
    1339      7734479 :                IF (X1 <= 0.875000000000000000E+00_dp) THEN
    1340      4843775 :                   TG1 = (2*X1 - 0.162500000000000000E+01_dp)*0.800000000000000000E+01_dp
    1341      4843775 :                   TG2 = (2*X2 - 0.100000000000000000E+01_dp)*0.100000000000000000E+01_dp
    1342      4843775 :                   CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 206))
    1343              :                ELSE
    1344      2890704 :                   TG1 = (2*X1 - 0.187500000000000000E+01_dp)*0.800000000000000000E+01_dp
    1345      2890704 :                   TG2 = (2*X2 - 0.100000000000000000E+01_dp)*0.100000000000000000E+01_dp
    1346      2890704 :                   CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 207))
    1347              :                END IF
    1348              :             END IF
    1349              :          END IF
    1350              :       END IF
    1351              :    END SUBROUTINE t_c_g0_n
    1352              : 
    1353              : ! **************************************************************************************************
    1354              : !> \brief ...
    1355              : !> \param Nder the number of derivatives that will actually be used
    1356              : !> \param iunit contains the data file to initialize the table
    1357              : !> \param mepos ...
    1358              : !> \param group ...
    1359              : ! **************************************************************************************************
    1360          668 :    SUBROUTINE init(Nder, iunit, mepos, group)
    1361              :       INTEGER, INTENT(IN)                                :: Nder, iunit, mepos
    1362              : 
    1363              :       CLASS(mp_comm_type), INTENT(IN)                     :: group
    1364              : 
    1365              :       INTEGER                                            :: I
    1366          668 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:)           :: chunk
    1367              : 
    1368          668 :       patches = 207
    1369          668 :       IF (Nder > nderiv_max) CPABORT("T_C_G0 init failed")
    1370          668 :       nderiv_init = Nder
    1371          668 :       IF (ALLOCATED(C0)) DEALLOCATE (C0)
    1372              :       ! round up to a multiple of 32 to give some generous alignment for each C0
    1373         2672 :       ALLOCATE (C0(32*((31 + (Nder + 1)*(degree + 1)*(degree + 2)/2)/32), patches))
    1374              :       ! init mpi'ed buffers to silence warnings under valgrind
    1375    103711808 :       C0 = 1.0E99_dp
    1376          668 :       IF (mepos == 0) THEN
    1377          334 :          ALLOCATE (chunk((nderiv_max + 1)*(degree + 1)*(degree + 2)/2))
    1378        69472 :          DO I = 1, patches
    1379        69138 :             READ (iunit, *) chunk
    1380     50907637 :             C0(1:(Nder + 1)*(degree + 1)*(degree + 2)/2, I) = chunk(1:(Nder + 1)*(degree + 1)*(degree + 2)/2)
    1381              :          END DO
    1382          334 :          DEALLOCATE (chunk)
    1383              :       END IF
    1384          668 :       CALL group%bcast(C0, 0)
    1385              : 
    1386          668 :    END SUBROUTINE init
    1387              : 
    1388              : ! **************************************************************************************************
    1389              : !> \brief ...
    1390              : ! **************************************************************************************************
    1391          376 :    SUBROUTINE free_C0()
    1392          376 :       IF (ALLOCATED(C0)) DEALLOCATE (C0)
    1393          376 :       nderiv_init = -1
    1394          376 :    END SUBROUTINE free_C0
    1395              : 
    1396              : ! **************************************************************************************************
    1397              : !> \brief ...
    1398              : !> \param RES ...
    1399              : !> \param NDERIV ...
    1400              : !> \param TG1 ...
    1401              : !> \param TG2 ...
    1402              : !> \param C0 ...
    1403              : ! **************************************************************************************************
    1404    253230372 :    SUBROUTINE PD2VAL(RES, NDERIV, TG1, TG2, C0)
    1405              :       REAL(KIND=dp), INTENT(OUT)                         :: res(*)
    1406              :       INTEGER, INTENT(IN)                                :: NDERIV
    1407              :       REAL(KIND=dp), INTENT(IN)                          :: TG1, TG2, C0(105, *)
    1408              : 
    1409              :       REAL(KIND=dp), PARAMETER :: SQRT2 = 1.4142135623730950488016887242096980785696718753_dp
    1410              : 
    1411              :       INTEGER                                            :: K
    1412              :       REAL(KIND=dp)                                      :: T1(0:13), T2(0:13)
    1413              : 
    1414    253230372 :       T1(0) = 1.0_dp
    1415    253230372 :       T2(0) = 1.0_dp
    1416    253230372 :       T1(1) = SQRT2*TG1
    1417    253230372 :       T2(1) = SQRT2*TG2
    1418    253230372 :       T1(2) = 2*TG1*T1(1) - SQRT2
    1419    253230372 :       T2(2) = 2*TG2*T2(1) - SQRT2
    1420    253230372 :       T1(3) = 2*TG1*T1(2) - T1(1)
    1421    253230372 :       T2(3) = 2*TG2*T2(2) - T2(1)
    1422    253230372 :       T1(4) = 2*TG1*T1(3) - T1(2)
    1423    253230372 :       T2(4) = 2*TG2*T2(3) - T2(2)
    1424    253230372 :       T1(5) = 2*TG1*T1(4) - T1(3)
    1425    253230372 :       T2(5) = 2*TG2*T2(4) - T2(3)
    1426    253230372 :       T1(6) = 2*TG1*T1(5) - T1(4)
    1427    253230372 :       T2(6) = 2*TG2*T2(5) - T2(4)
    1428    253230372 :       T1(7) = 2*TG1*T1(6) - T1(5)
    1429    253230372 :       T2(7) = 2*TG2*T2(6) - T2(5)
    1430    253230372 :       T1(8) = 2*TG1*T1(7) - T1(6)
    1431    253230372 :       T2(8) = 2*TG2*T2(7) - T2(6)
    1432    253230372 :       T1(9) = 2*TG1*T1(8) - T1(7)
    1433    253230372 :       T2(9) = 2*TG2*T2(8) - T2(7)
    1434    253230372 :       T1(10) = 2*TG1*T1(9) - T1(8)
    1435    253230372 :       T2(10) = 2*TG2*T2(9) - T2(8)
    1436    253230372 :       T1(11) = 2*TG1*T1(10) - T1(9)
    1437    253230372 :       T2(11) = 2*TG2*T2(10) - T2(9)
    1438    253230372 :       T1(12) = 2*TG1*T1(11) - T1(10)
    1439    253230372 :       T2(12) = 2*TG2*T2(11) - T2(10)
    1440    253230372 :       T1(13) = 2*TG1*T1(12) - T1(11)
    1441    253230372 :       T2(13) = 2*TG2*T2(12) - T2(11)
    1442    886821192 :       DO K = 1, NDERIV + 1
    1443    633590820 :          RES(K) = 0.0_dp
    1444   9503862300 :          RES(K) = RES(K) + DOT_PRODUCT(T1(0:13), C0(1:14, K))*T2(0)
    1445   8870271480 :          RES(K) = RES(K) + DOT_PRODUCT(T1(0:12), C0(15:27, K))*T2(1)
    1446   8236680660 :          RES(K) = RES(K) + DOT_PRODUCT(T1(0:11), C0(28:39, K))*T2(2)
    1447   7603089840 :          RES(K) = RES(K) + DOT_PRODUCT(T1(0:10), C0(40:50, K))*T2(3)
    1448   6969499020 :          RES(K) = RES(K) + DOT_PRODUCT(T1(0:9), C0(51:60, K))*T2(4)
    1449   6335908200 :          RES(K) = RES(K) + DOT_PRODUCT(T1(0:8), C0(61:69, K))*T2(5)
    1450   5702317380 :          RES(K) = RES(K) + DOT_PRODUCT(T1(0:7), C0(70:77, K))*T2(6)
    1451   5068726560 :          RES(K) = RES(K) + DOT_PRODUCT(T1(0:6), C0(78:84, K))*T2(7)
    1452   4435135740 :          RES(K) = RES(K) + DOT_PRODUCT(T1(0:5), C0(85:90, K))*T2(8)
    1453   3801544920 :          RES(K) = RES(K) + DOT_PRODUCT(T1(0:4), C0(91:95, K))*T2(9)
    1454   3167954100 :          RES(K) = RES(K) + DOT_PRODUCT(T1(0:3), C0(96:99, K))*T2(10)
    1455   2534363280 :          RES(K) = RES(K) + DOT_PRODUCT(T1(0:2), C0(100:102, K))*T2(11)
    1456   1900772460 :          RES(K) = RES(K) + DOT_PRODUCT(T1(0:1), C0(103:104, K))*T2(12)
    1457   1520412012 :          RES(K) = RES(K) + DOT_PRODUCT(T1(0:0), C0(105:105, K))*T2(13)
    1458              :       END DO
    1459    253230372 :    END SUBROUTINE PD2VAL
    1460              : 
    1461              : ! **************************************************************************************************
    1462              : !> \brief Returns the value of nderiv_init so that one can check if opening the potential file is
    1463              : !>        worhtwhile
    1464              : !> \return ...
    1465              : !> \author A. Bussy, 05.2019
    1466              : ! **************************************************************************************************
    1467     20981190 :    FUNCTION get_lmax_init() RESULT(lmax_init)
    1468              : 
    1469              :       INTEGER                                            :: lmax_init
    1470              : 
    1471     20981190 :       lmax_init = nderiv_init
    1472              : 
    1473     20981190 :    END FUNCTION get_lmax_init
    1474              : 
    1475              : END MODULE t_c_g0
        

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