LCOV - code coverage report
Current view: top level - src/common - t_c_g0.F (source / functions) Coverage Total Hit
Test: CP2K Regtests (git:92574dc) Lines: 98.9 % 912 902
Test Date: 2026-09-24 01:27:39 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    252890068 :    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    252890068 :       use_gamma = .FALSE.
      96    252890068 :       upper = R**2 + 11.0_dp*R + 50.0_dp
      97    252890068 :       lower = R**2 - 11.0_dp*R + 0.0_dp
      98    252890068 :       IF (T > upper) THEN
      99      7481834 :          RES(1:NDERIV + 1) = 0.0_dp
     100      7398836 :          RETURN
     101              :       END IF
     102    250915274 :       IF (R <= 11.0_dp) THEN
     103    213191774 :          X2 = R/11.0_dp
     104    213191774 :          upper = R**2 + 11.0_dp*R + 50.0_dp
     105    213191774 :          lower = 0.0_dp
     106    213191774 :          X1 = (T - lower)/(upper - lower)
     107    213191774 :          IF (X1 <= 0.500000000000000000E+00_dp) THEN
     108    141232862 :             IF (X2 <= 0.500000000000000000E+00_dp) THEN
     109    118522566 :                IF (X2 <= 0.250000000000000000E+00_dp) THEN
     110     95646456 :                   IF (X2 <= 0.125000000000000000E+00_dp) THEN
     111     20277361 :                      IF (X1 <= 0.250000000000000000E+00_dp) THEN
     112      9422462 :                         IF (X2 <= 0.625000000000000000E-01_dp) THEN
     113      1186069 :                            IF (X1 <= 0.125000000000000000E+00_dp) THEN
     114       611570 :                               IF (X2 <= 0.312500000000000000E-01_dp) THEN
     115        41646 :                                  IF (X1 <= 0.625000000000000000E-01_dp) THEN
     116        16463 :                                     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        16463 :                                        IF (X1 <= 0.312500000000000000E-01_dp) THEN
     128         8065 :                                           TG1 = (2*X1 - 0.312500000000000000E-01_dp)*0.320000000000000000E+02_dp
     129         8065 :                                           TG2 = (2*X2 - 0.468750000000000000E-01_dp)*0.640000000000000000E+02_dp
     130         8065 :                                           CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 3))
     131              :                                        ELSE
     132         8398 :                                           TG1 = (2*X1 - 0.937500000000000000E-01_dp)*0.320000000000000000E+02_dp
     133         8398 :                                           TG2 = (2*X2 - 0.468750000000000000E-01_dp)*0.640000000000000000E+02_dp
     134         8398 :                                           CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 4))
     135              :                                        END IF
     136              :                                     END IF
     137              :                                  ELSE
     138        25183 :                                     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        25183 :                                        TG1 = (2*X1 - 0.187500000000000000E+00_dp)*0.160000000000000000E+02_dp
     144        25183 :                                        TG2 = (2*X2 - 0.468750000000000000E-01_dp)*0.640000000000000000E+02_dp
     145        25183 :                                        CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 6))
     146              :                                     END IF
     147              :                                  END IF
     148              :                               ELSE
     149       569924 :                                  IF (X1 <= 0.625000000000000000E-01_dp) THEN
     150       301805 :                                     IF (X2 <= 0.468750000000000000E-01_dp) THEN
     151       132231 :                                        IF (X1 <= 0.312500000000000000E-01_dp) THEN
     152        67918 :                                           TG1 = (2*X1 - 0.312500000000000000E-01_dp)*0.320000000000000000E+02_dp
     153        67918 :                                           TG2 = (2*X2 - 0.781250000000000000E-01_dp)*0.640000000000000000E+02_dp
     154        67918 :                                           CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 7))
     155              :                                        ELSE
     156        64313 :                                           TG1 = (2*X1 - 0.937500000000000000E-01_dp)*0.320000000000000000E+02_dp
     157        64313 :                                           TG2 = (2*X2 - 0.781250000000000000E-01_dp)*0.640000000000000000E+02_dp
     158        64313 :                                           CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 8))
     159              :                                        END IF
     160              :                                     ELSE
     161       169574 :                                        IF (X1 <= 0.312500000000000000E-01_dp) THEN
     162       129882 :                                           TG1 = (2*X1 - 0.312500000000000000E-01_dp)*0.320000000000000000E+02_dp
     163       129882 :                                           TG2 = (2*X2 - 0.109375000000000000E+00_dp)*0.640000000000000000E+02_dp
     164       129882 :                                           CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 9))
     165              :                                        ELSE
     166        39692 :                                           TG1 = (2*X1 - 0.937500000000000000E-01_dp)*0.320000000000000000E+02_dp
     167        39692 :                                           TG2 = (2*X2 - 0.109375000000000000E+00_dp)*0.640000000000000000E+02_dp
     168        39692 :                                           CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 10))
     169              :                                        END IF
     170              :                                     END IF
     171              :                                  ELSE
     172       268119 :                                     IF (X2 <= 0.468750000000000000E-01_dp) THEN
     173       205090 :                                        TG1 = (2*X1 - 0.187500000000000000E+00_dp)*0.160000000000000000E+02_dp
     174       205090 :                                        TG2 = (2*X2 - 0.781250000000000000E-01_dp)*0.640000000000000000E+02_dp
     175       205090 :                                        CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 11))
     176              :                                     ELSE
     177        63029 :                                        TG1 = (2*X1 - 0.187500000000000000E+00_dp)*0.160000000000000000E+02_dp
     178        63029 :                                        TG2 = (2*X2 - 0.109375000000000000E+00_dp)*0.640000000000000000E+02_dp
     179        63029 :                                        CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 12))
     180              :                                     END IF
     181              :                                  END IF
     182              :                               END IF
     183              :                            ELSE
     184       574499 :                               IF (X2 <= 0.312500000000000000E-01_dp) THEN
     185        50963 :                                  IF (X1 <= 0.187500000000000000E+00_dp) THEN
     186        16150 :                                     TG1 = (2*X1 - 0.312500000000000000E+00_dp)*0.160000000000000000E+02_dp
     187        16150 :                                     TG2 = (2*X2 - 0.312500000000000000E-01_dp)*0.320000000000000000E+02_dp
     188        16150 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 13))
     189              :                                  ELSE
     190        34813 :                                     TG1 = (2*X1 - 0.437500000000000000E+00_dp)*0.160000000000000000E+02_dp
     191        34813 :                                     TG2 = (2*X2 - 0.312500000000000000E-01_dp)*0.320000000000000000E+02_dp
     192        34813 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 14))
     193              :                                  END IF
     194              :                               ELSE
     195       523536 :                                  IF (X1 <= 0.187500000000000000E+00_dp) THEN
     196       281909 :                                     TG1 = (2*X1 - 0.312500000000000000E+00_dp)*0.160000000000000000E+02_dp
     197       281909 :                                     TG2 = (2*X2 - 0.937500000000000000E-01_dp)*0.320000000000000000E+02_dp
     198       281909 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 15))
     199              :                                  ELSE
     200       241627 :                                     TG1 = (2*X1 - 0.437500000000000000E+00_dp)*0.160000000000000000E+02_dp
     201       241627 :                                     TG2 = (2*X2 - 0.937500000000000000E-01_dp)*0.320000000000000000E+02_dp
     202       241627 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 16))
     203              :                                  END IF
     204              :                               END IF
     205              :                            END IF
     206              :                         ELSE
     207      8236393 :                            IF (X1 <= 0.125000000000000000E+00_dp) THEN
     208      3982768 :                               IF (X2 <= 0.937500000000000000E-01_dp) THEN
     209       928904 :                                  IF (X1 <= 0.625000000000000000E-01_dp) THEN
     210       600100 :                                     IF (X2 <= 0.781250000000000000E-01_dp) THEN
     211       272561 :                                        IF (X1 <= 0.312500000000000000E-01_dp) THEN
     212       239466 :                                           TG1 = (2*X1 - 0.312500000000000000E-01_dp)*0.320000000000000000E+02_dp
     213       239466 :                                           TG2 = (2*X2 - 0.140625000000000000E+00_dp)*0.640000000000000000E+02_dp
     214       239466 :                                           CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 17))
     215              :                                        ELSE
     216        33095 :                                           TG1 = (2*X1 - 0.937500000000000000E-01_dp)*0.320000000000000000E+02_dp
     217        33095 :                                           TG2 = (2*X2 - 0.140625000000000000E+00_dp)*0.640000000000000000E+02_dp
     218        33095 :                                           CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 18))
     219              :                                        END IF
     220              :                                     ELSE
     221       327539 :                                        IF (X1 <= 0.312500000000000000E-01_dp) THEN
     222       237198 :                                           TG1 = (2*X1 - 0.312500000000000000E-01_dp)*0.320000000000000000E+02_dp
     223       237198 :                                           TG2 = (2*X2 - 0.171875000000000000E+00_dp)*0.640000000000000000E+02_dp
     224       237198 :                                           CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 19))
     225              :                                        ELSE
     226        90341 :                                           TG1 = (2*X1 - 0.937500000000000000E-01_dp)*0.320000000000000000E+02_dp
     227        90341 :                                           TG2 = (2*X2 - 0.171875000000000000E+00_dp)*0.640000000000000000E+02_dp
     228        90341 :                                           CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 20))
     229              :                                        END IF
     230              :                                     END IF
     231              :                                  ELSE
     232       328804 :                                     IF (X2 <= 0.781250000000000000E-01_dp) THEN
     233        65612 :                                        TG1 = (2*X1 - 0.187500000000000000E+00_dp)*0.160000000000000000E+02_dp
     234        65612 :                                        TG2 = (2*X2 - 0.140625000000000000E+00_dp)*0.640000000000000000E+02_dp
     235        65612 :                                        CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 21))
     236              :                                     ELSE
     237       263192 :                                        TG1 = (2*X1 - 0.187500000000000000E+00_dp)*0.160000000000000000E+02_dp
     238       263192 :                                        TG2 = (2*X2 - 0.171875000000000000E+00_dp)*0.640000000000000000E+02_dp
     239       263192 :                                        CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 22))
     240              :                                     END IF
     241              :                                  END IF
     242              :                               ELSE
     243      3053864 :                                  IF (X1 <= 0.625000000000000000E-01_dp) THEN
     244      1566545 :                                     IF (X2 <= 0.109375000000000000E+00_dp) THEN
     245       724739 :                                        IF (X1 <= 0.312500000000000000E-01_dp) THEN
     246       517019 :                                           TG1 = (2*X1 - 0.312500000000000000E-01_dp)*0.320000000000000000E+02_dp
     247       517019 :                                           TG2 = (2*X2 - 0.203125000000000000E+00_dp)*0.640000000000000000E+02_dp
     248       517019 :                                           CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 23))
     249              :                                        ELSE
     250       207720 :                                           TG1 = (2*X1 - 0.937500000000000000E-01_dp)*0.320000000000000000E+02_dp
     251       207720 :                                           TG2 = (2*X2 - 0.203125000000000000E+00_dp)*0.640000000000000000E+02_dp
     252       207720 :                                           CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 24))
     253              :                                        END IF
     254              :                                     ELSE
     255       841806 :                                        IF (X1 <= 0.312500000000000000E-01_dp) THEN
     256       609086 :                                           TG1 = (2*X1 - 0.312500000000000000E-01_dp)*0.320000000000000000E+02_dp
     257       609086 :                                           TG2 = (2*X2 - 0.234375000000000000E+00_dp)*0.640000000000000000E+02_dp
     258       609086 :                                           CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 25))
     259              :                                        ELSE
     260       232720 :                                           TG1 = (2*X1 - 0.937500000000000000E-01_dp)*0.320000000000000000E+02_dp
     261       232720 :                                           TG2 = (2*X2 - 0.234375000000000000E+00_dp)*0.640000000000000000E+02_dp
     262       232720 :                                           CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 26))
     263              :                                        END IF
     264              :                                     END IF
     265              :                                  ELSE
     266      1487319 :                                     IF (X2 <= 0.109375000000000000E+00_dp) THEN
     267       616302 :                                        TG1 = (2*X1 - 0.187500000000000000E+00_dp)*0.160000000000000000E+02_dp
     268       616302 :                                        TG2 = (2*X2 - 0.203125000000000000E+00_dp)*0.640000000000000000E+02_dp
     269       616302 :                                        CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 27))
     270              :                                     ELSE
     271       871017 :                                        TG1 = (2*X1 - 0.187500000000000000E+00_dp)*0.160000000000000000E+02_dp
     272       871017 :                                        TG2 = (2*X2 - 0.234375000000000000E+00_dp)*0.640000000000000000E+02_dp
     273       871017 :                                        CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 28))
     274              :                                     END IF
     275              :                                  END IF
     276              :                               END IF
     277              :                            ELSE
     278      4253625 :                               IF (X1 <= 0.187500000000000000E+00_dp) THEN
     279      2048402 :                                  IF (X2 <= 0.937500000000000000E-01_dp) THEN
     280       342525 :                                     TG1 = (2*X1 - 0.312500000000000000E+00_dp)*0.160000000000000000E+02_dp
     281       342525 :                                     TG2 = (2*X2 - 0.156250000000000000E+00_dp)*0.320000000000000000E+02_dp
     282       342525 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 29))
     283              :                                  ELSE
     284      1705877 :                                     TG1 = (2*X1 - 0.312500000000000000E+00_dp)*0.160000000000000000E+02_dp
     285      1705877 :                                     TG2 = (2*X2 - 0.218750000000000000E+00_dp)*0.320000000000000000E+02_dp
     286      1705877 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 30))
     287              :                                  END IF
     288              :                               ELSE
     289      2205223 :                                  TG1 = (2*X1 - 0.437500000000000000E+00_dp)*0.160000000000000000E+02_dp
     290      2205223 :                                  TG2 = (2*X2 - 0.187500000000000000E+00_dp)*0.160000000000000000E+02_dp
     291      2205223 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 31))
     292              :                               END IF
     293              :                            END IF
     294              :                         END IF
     295              :                      ELSE
     296     10854899 :                         IF (X1 <= 0.375000000000000000E+00_dp) THEN
     297      5777634 :                            TG1 = (2*X1 - 0.625000000000000000E+00_dp)*0.800000000000000000E+01_dp
     298      5777634 :                            TG2 = (2*X2 - 0.125000000000000000E+00_dp)*0.800000000000000000E+01_dp
     299      5777634 :                            CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 32))
     300              :                         ELSE
     301      5077265 :                            TG1 = (2*X1 - 0.875000000000000000E+00_dp)*0.800000000000000000E+01_dp
     302      5077265 :                            TG2 = (2*X2 - 0.125000000000000000E+00_dp)*0.800000000000000000E+01_dp
     303      5077265 :                            CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 33))
     304              :                         END IF
     305              :                      END IF
     306              :                   ELSE
     307     75369095 :                      IF (X1 <= 0.250000000000000000E+00_dp) THEN
     308     33166329 :                         IF (X2 <= 0.187500000000000000E+00_dp) THEN
     309     20816718 :                            IF (X1 <= 0.125000000000000000E+00_dp) THEN
     310     10162619 :                               IF (X2 <= 0.156250000000000000E+00_dp) THEN
     311      4692546 :                                  IF (X1 <= 0.625000000000000000E-01_dp) THEN
     312      2183875 :                                     IF (X1 <= 0.312500000000000000E-01_dp) THEN
     313      1412814 :                                        IF (X2 <= 0.140625000000000000E+00_dp) THEN
     314       620750 :                                           TG1 = (2*X1 - 0.312500000000000000E-01_dp)*0.320000000000000000E+02_dp
     315       620750 :                                           TG2 = (2*X2 - 0.265625000000000000E+00_dp)*0.640000000000000000E+02_dp
     316       620750 :                                           CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 34))
     317              :                                        ELSE
     318       792064 :                                           TG1 = (2*X1 - 0.312500000000000000E-01_dp)*0.320000000000000000E+02_dp
     319       792064 :                                           TG2 = (2*X2 - 0.296875000000000000E+00_dp)*0.640000000000000000E+02_dp
     320       792064 :                                           CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 35))
     321              :                                        END IF
     322              :                                     ELSE
     323       771061 :                                        TG1 = (2*X1 - 0.937500000000000000E-01_dp)*0.320000000000000000E+02_dp
     324       771061 :                                        TG2 = (2*X2 - 0.281250000000000000E+00_dp)*0.320000000000000000E+02_dp
     325       771061 :                                        CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 36))
     326              :                                     END IF
     327              :                                  ELSE
     328      2508671 :                                     IF (X1 <= 0.937500000000000000E-01_dp) THEN
     329      1126812 :                                        TG1 = (2*X1 - 0.156250000000000000E+00_dp)*0.320000000000000000E+02_dp
     330      1126812 :                                        TG2 = (2*X2 - 0.281250000000000000E+00_dp)*0.320000000000000000E+02_dp
     331      1126812 :                                        CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 37))
     332              :                                     ELSE
     333      1381859 :                                        TG1 = (2*X1 - 0.218750000000000000E+00_dp)*0.320000000000000000E+02_dp
     334      1381859 :                                        TG2 = (2*X2 - 0.281250000000000000E+00_dp)*0.320000000000000000E+02_dp
     335      1381859 :                                        CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 38))
     336              :                                     END IF
     337              :                                  END IF
     338              :                               ELSE
     339      5470073 :                                  IF (X1 <= 0.625000000000000000E-01_dp) THEN
     340      3238896 :                                     IF (X1 <= 0.312500000000000000E-01_dp) THEN
     341      2171868 :                                        IF (X2 <= 0.171875000000000000E+00_dp) THEN
     342       898649 :                                           TG1 = (2*X1 - 0.312500000000000000E-01_dp)*0.320000000000000000E+02_dp
     343       898649 :                                           TG2 = (2*X2 - 0.328125000000000000E+00_dp)*0.640000000000000000E+02_dp
     344       898649 :                                           CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 39))
     345              :                                        ELSE
     346      1273219 :                                           TG1 = (2*X1 - 0.312500000000000000E-01_dp)*0.320000000000000000E+02_dp
     347      1273219 :                                           TG2 = (2*X2 - 0.359375000000000000E+00_dp)*0.640000000000000000E+02_dp
     348      1273219 :                                           CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 40))
     349              :                                        END IF
     350              :                                     ELSE
     351      1067028 :                                        TG1 = (2*X1 - 0.937500000000000000E-01_dp)*0.320000000000000000E+02_dp
     352      1067028 :                                        TG2 = (2*X2 - 0.343750000000000000E+00_dp)*0.320000000000000000E+02_dp
     353      1067028 :                                        CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 41))
     354              :                                     END IF
     355              :                                  ELSE
     356      2231177 :                                     TG1 = (2*X1 - 0.187500000000000000E+00_dp)*0.160000000000000000E+02_dp
     357      2231177 :                                     TG2 = (2*X2 - 0.343750000000000000E+00_dp)*0.320000000000000000E+02_dp
     358      2231177 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 42))
     359              :                                  END IF
     360              :                               END IF
     361              :                            ELSE
     362     10654099 :                               IF (X1 <= 0.187500000000000000E+00_dp) THEN
     363      5117133 :                                  TG1 = (2*X1 - 0.312500000000000000E+00_dp)*0.160000000000000000E+02_dp
     364      5117133 :                                  TG2 = (2*X2 - 0.312500000000000000E+00_dp)*0.160000000000000000E+02_dp
     365      5117133 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 43))
     366              :                               ELSE
     367      5536966 :                                  TG1 = (2*X1 - 0.437500000000000000E+00_dp)*0.160000000000000000E+02_dp
     368      5536966 :                                  TG2 = (2*X2 - 0.312500000000000000E+00_dp)*0.160000000000000000E+02_dp
     369      5536966 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 44))
     370              :                               END IF
     371              :                            END IF
     372              :                         ELSE
     373     12349611 :                            IF (X1 <= 0.125000000000000000E+00_dp) THEN
     374      8133446 :                               IF (X1 <= 0.625000000000000000E-01_dp) THEN
     375      6030906 :                                  IF (X2 <= 0.218750000000000000E+00_dp) THEN
     376      3081770 :                                     IF (X1 <= 0.312500000000000000E-01_dp) THEN
     377      2119884 :                                        IF (X2 <= 0.203125000000000000E+00_dp) THEN
     378      1096961 :                                           TG1 = (2*X1 - 0.312500000000000000E-01_dp)*0.320000000000000000E+02_dp
     379      1096961 :                                           TG2 = (2*X2 - 0.390625000000000000E+00_dp)*0.640000000000000000E+02_dp
     380      1096961 :                                           CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 45))
     381              :                                        ELSE
     382      1022923 :                                           TG1 = (2*X1 - 0.312500000000000000E-01_dp)*0.320000000000000000E+02_dp
     383      1022923 :                                           TG2 = (2*X2 - 0.421875000000000000E+00_dp)*0.640000000000000000E+02_dp
     384      1022923 :                                           CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 46))
     385              :                                        END IF
     386              :                                     ELSE
     387       961886 :                                        TG1 = (2*X1 - 0.937500000000000000E-01_dp)*0.320000000000000000E+02_dp
     388       961886 :                                        TG2 = (2*X2 - 0.406250000000000000E+00_dp)*0.320000000000000000E+02_dp
     389       961886 :                                        CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 47))
     390              :                                     END IF
     391              :                                  ELSE
     392      2949136 :                                     IF (X1 <= 0.312500000000000000E-01_dp) THEN
     393      2242122 :                                        IF (X2 <= 0.234375000000000000E+00_dp) THEN
     394      1056496 :                                           TG1 = (2*X1 - 0.312500000000000000E-01_dp)*0.320000000000000000E+02_dp
     395      1056496 :                                           TG2 = (2*X2 - 0.453125000000000000E+00_dp)*0.640000000000000000E+02_dp
     396      1056496 :                                           CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 48))
     397              :                                        ELSE
     398      1185626 :                                           TG1 = (2*X1 - 0.312500000000000000E-01_dp)*0.320000000000000000E+02_dp
     399      1185626 :                                           TG2 = (2*X2 - 0.484375000000000000E+00_dp)*0.640000000000000000E+02_dp
     400      1185626 :                                           CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 49))
     401              :                                        END IF
     402              :                                     ELSE
     403       707014 :                                        TG1 = (2*X1 - 0.937500000000000000E-01_dp)*0.320000000000000000E+02_dp
     404       707014 :                                        TG2 = (2*X2 - 0.468750000000000000E+00_dp)*0.320000000000000000E+02_dp
     405       707014 :                                        CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 50))
     406              :                                     END IF
     407              :                                  END IF
     408              :                               ELSE
     409      2102540 :                                  IF (X2 <= 0.218750000000000000E+00_dp) THEN
     410      1270466 :                                     TG1 = (2*X1 - 0.187500000000000000E+00_dp)*0.160000000000000000E+02_dp
     411      1270466 :                                     TG2 = (2*X2 - 0.406250000000000000E+00_dp)*0.320000000000000000E+02_dp
     412      1270466 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 51))
     413              :                                  ELSE
     414       832074 :                                     TG1 = (2*X1 - 0.187500000000000000E+00_dp)*0.160000000000000000E+02_dp
     415       832074 :                                     TG2 = (2*X2 - 0.468750000000000000E+00_dp)*0.320000000000000000E+02_dp
     416       832074 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 52))
     417              :                                  END IF
     418              :                               END IF
     419              :                            ELSE
     420      4216165 :                               IF (X1 <= 0.187500000000000000E+00_dp) THEN
     421      2032158 :                                  TG1 = (2*X1 - 0.312500000000000000E+00_dp)*0.160000000000000000E+02_dp
     422      2032158 :                                  TG2 = (2*X2 - 0.437500000000000000E+00_dp)*0.160000000000000000E+02_dp
     423      2032158 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 53))
     424              :                               ELSE
     425      2184007 :                                  TG1 = (2*X1 - 0.437500000000000000E+00_dp)*0.160000000000000000E+02_dp
     426      2184007 :                                  TG2 = (2*X2 - 0.437500000000000000E+00_dp)*0.160000000000000000E+02_dp
     427      2184007 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 54))
     428              :                               END IF
     429              :                            END IF
     430              :                         END IF
     431              :                      ELSE
     432     42202766 :                         IF (X1 <= 0.375000000000000000E+00_dp) THEN
     433     18925153 :                            IF (X1 <= 0.312500000000000000E+00_dp) THEN
     434      8647601 :                               TG1 = (2*X1 - 0.562500000000000000E+00_dp)*0.160000000000000000E+02_dp
     435      8647601 :                               TG2 = (2*X2 - 0.375000000000000000E+00_dp)*0.800000000000000000E+01_dp
     436      8647601 :                               CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 55))
     437              :                            ELSE
     438     10277552 :                               TG1 = (2*X1 - 0.687500000000000000E+00_dp)*0.160000000000000000E+02_dp
     439     10277552 :                               TG2 = (2*X2 - 0.375000000000000000E+00_dp)*0.800000000000000000E+01_dp
     440     10277552 :                               CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 56))
     441              :                            END IF
     442              :                         ELSE
     443     23277613 :                            TG1 = (2*X1 - 0.875000000000000000E+00_dp)*0.800000000000000000E+01_dp
     444     23277613 :                            TG2 = (2*X2 - 0.375000000000000000E+00_dp)*0.800000000000000000E+01_dp
     445     23277613 :                            CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 57))
     446              :                         END IF
     447              :                      END IF
     448              :                   END IF
     449              :                ELSE
     450     22876110 :                   IF (X1 <= 0.250000000000000000E+00_dp) THEN
     451     17464909 :                      IF (X1 <= 0.125000000000000000E+00_dp) THEN
     452     15741932 :                         IF (X1 <= 0.625000000000000000E-01_dp) THEN
     453     13738523 :                            IF (X2 <= 0.375000000000000000E+00_dp) THEN
     454      8953505 :                               IF (X2 <= 0.312500000000000000E+00_dp) THEN
     455      4963138 :                                  IF (X1 <= 0.312500000000000000E-01_dp) THEN
     456      3958733 :                                     IF (X2 <= 0.281250000000000000E+00_dp) THEN
     457      2034060 :                                        TG1 = (2*X1 - 0.312500000000000000E-01_dp)*0.320000000000000000E+02_dp
     458      2034060 :                                        TG2 = (2*X2 - 0.531250000000000000E+00_dp)*0.320000000000000000E+02_dp
     459      2034060 :                                        CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 58))
     460              :                                     ELSE
     461      1924673 :                                        TG1 = (2*X1 - 0.312500000000000000E-01_dp)*0.320000000000000000E+02_dp
     462      1924673 :                                        TG2 = (2*X2 - 0.593750000000000000E+00_dp)*0.320000000000000000E+02_dp
     463      1924673 :                                        CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 59))
     464              :                                     END IF
     465              :                                  ELSE
     466      1004405 :                                     IF (X2 <= 0.281250000000000000E+00_dp) THEN
     467       549584 :                                        TG1 = (2*X1 - 0.937500000000000000E-01_dp)*0.320000000000000000E+02_dp
     468       549584 :                                        TG2 = (2*X2 - 0.531250000000000000E+00_dp)*0.320000000000000000E+02_dp
     469       549584 :                                        CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 60))
     470              :                                     ELSE
     471       454821 :                                        TG1 = (2*X1 - 0.937500000000000000E-01_dp)*0.320000000000000000E+02_dp
     472       454821 :                                        TG2 = (2*X2 - 0.593750000000000000E+00_dp)*0.320000000000000000E+02_dp
     473       454821 :                                        CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 61))
     474              :                                     END IF
     475              :                                  END IF
     476              :                               ELSE
     477      3990367 :                                  IF (X1 <= 0.312500000000000000E-01_dp) THEN
     478      3393113 :                                     IF (X2 <= 0.343750000000000000E+00_dp) THEN
     479      1697197 :                                        TG1 = (2*X1 - 0.312500000000000000E-01_dp)*0.320000000000000000E+02_dp
     480      1697197 :                                        TG2 = (2*X2 - 0.656250000000000000E+00_dp)*0.320000000000000000E+02_dp
     481      1697197 :                                        CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 62))
     482              :                                     ELSE
     483      1695916 :                                        TG1 = (2*X1 - 0.312500000000000000E-01_dp)*0.320000000000000000E+02_dp
     484      1695916 :                                        TG2 = (2*X2 - 0.718750000000000000E+00_dp)*0.320000000000000000E+02_dp
     485      1695916 :                                        CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 63))
     486              :                                     END IF
     487              :                                  ELSE
     488       597254 :                                     TG1 = (2*X1 - 0.937500000000000000E-01_dp)*0.320000000000000000E+02_dp
     489       597254 :                                     TG2 = (2*X2 - 0.687500000000000000E+00_dp)*0.160000000000000000E+02_dp
     490       597254 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 64))
     491              :                                  END IF
     492              :                               END IF
     493              :                            ELSE
     494      4785018 :                               IF (X1 <= 0.312500000000000000E-01_dp) THEN
     495      4286458 :                                  IF (X2 <= 0.437500000000000000E+00_dp) THEN
     496      2664224 :                                     IF (X1 <= 0.156250000000000000E-01_dp) THEN
     497      2409273 :                                        TG1 = (2*X1 - 0.156250000000000000E-01_dp)*0.640000000000000000E+02_dp
     498      2409273 :                                        TG2 = (2*X2 - 0.812500000000000000E+00_dp)*0.160000000000000000E+02_dp
     499      2409273 :                                        CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 65))
     500              :                                     ELSE
     501       254951 :                                        TG1 = (2*X1 - 0.468750000000000000E-01_dp)*0.640000000000000000E+02_dp
     502       254951 :                                        TG2 = (2*X2 - 0.812500000000000000E+00_dp)*0.160000000000000000E+02_dp
     503       254951 :                                        CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 66))
     504              :                                     END IF
     505              :                                  ELSE
     506      1622234 :                                     IF (X1 <= 0.156250000000000000E-01_dp) THEN
     507      1502526 :                                        TG1 = (2*X1 - 0.156250000000000000E-01_dp)*0.640000000000000000E+02_dp
     508      1502526 :                                        TG2 = (2*X2 - 0.937500000000000000E+00_dp)*0.160000000000000000E+02_dp
     509      1502526 :                                        CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 67))
     510              :                                     ELSE
     511       119708 :                                        TG1 = (2*X1 - 0.468750000000000000E-01_dp)*0.640000000000000000E+02_dp
     512       119708 :                                        TG2 = (2*X2 - 0.937500000000000000E+00_dp)*0.160000000000000000E+02_dp
     513       119708 :                                        CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 68))
     514              :                                     END IF
     515              :                                  END IF
     516              :                               ELSE
     517       498560 :                                  IF (X2 <= 0.437500000000000000E+00_dp) THEN
     518       318020 :                                     TG1 = (2*X1 - 0.937500000000000000E-01_dp)*0.320000000000000000E+02_dp
     519       318020 :                                     TG2 = (2*X2 - 0.812500000000000000E+00_dp)*0.160000000000000000E+02_dp
     520       318020 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 69))
     521              :                                  ELSE
     522       180540 :                                     TG1 = (2*X1 - 0.937500000000000000E-01_dp)*0.320000000000000000E+02_dp
     523       180540 :                                     TG2 = (2*X2 - 0.937500000000000000E+00_dp)*0.160000000000000000E+02_dp
     524       180540 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 70))
     525              :                                  END IF
     526              :                               END IF
     527              :                            END IF
     528              :                         ELSE
     529      2003409 :                            IF (X2 <= 0.375000000000000000E+00_dp) THEN
     530      1567708 :                               IF (X2 <= 0.312500000000000000E+00_dp) THEN
     531      1056190 :                                  IF (X1 <= 0.937500000000000000E-01_dp) THEN
     532       684350 :                                     TG1 = (2*X1 - 0.156250000000000000E+00_dp)*0.320000000000000000E+02_dp
     533       684350 :                                     TG2 = (2*X2 - 0.562500000000000000E+00_dp)*0.160000000000000000E+02_dp
     534       684350 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 71))
     535              :                                  ELSE
     536       371840 :                                     TG1 = (2*X1 - 0.218750000000000000E+00_dp)*0.320000000000000000E+02_dp
     537       371840 :                                     TG2 = (2*X2 - 0.562500000000000000E+00_dp)*0.160000000000000000E+02_dp
     538       371840 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 72))
     539              :                                  END IF
     540              :                               ELSE
     541       511518 :                                  IF (X1 <= 0.937500000000000000E-01_dp) THEN
     542       292554 :                                     TG1 = (2*X1 - 0.156250000000000000E+00_dp)*0.320000000000000000E+02_dp
     543       292554 :                                     TG2 = (2*X2 - 0.687500000000000000E+00_dp)*0.160000000000000000E+02_dp
     544       292554 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 73))
     545              :                                  ELSE
     546       218964 :                                     TG1 = (2*X1 - 0.218750000000000000E+00_dp)*0.320000000000000000E+02_dp
     547       218964 :                                     TG2 = (2*X2 - 0.687500000000000000E+00_dp)*0.160000000000000000E+02_dp
     548       218964 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 74))
     549              :                                  END IF
     550              :                               END IF
     551              :                            ELSE
     552       435701 :                               IF (X1 <= 0.937500000000000000E-01_dp) THEN
     553       238174 :                                  IF (X2 <= 0.437500000000000000E+00_dp) THEN
     554       157669 :                                     TG1 = (2*X1 - 0.156250000000000000E+00_dp)*0.320000000000000000E+02_dp
     555       157669 :                                     TG2 = (2*X2 - 0.812500000000000000E+00_dp)*0.160000000000000000E+02_dp
     556       157669 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 75))
     557              :                                  ELSE
     558        80505 :                                     TG1 = (2*X1 - 0.156250000000000000E+00_dp)*0.320000000000000000E+02_dp
     559        80505 :                                     TG2 = (2*X2 - 0.937500000000000000E+00_dp)*0.160000000000000000E+02_dp
     560        80505 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 76))
     561              :                                  END IF
     562              :                               ELSE
     563       197527 :                                  IF (X2 <= 0.437500000000000000E+00_dp) THEN
     564       128367 :                                     TG1 = (2*X1 - 0.218750000000000000E+00_dp)*0.320000000000000000E+02_dp
     565       128367 :                                     TG2 = (2*X2 - 0.812500000000000000E+00_dp)*0.160000000000000000E+02_dp
     566       128367 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 77))
     567              :                                  ELSE
     568        69160 :                                     TG1 = (2*X1 - 0.218750000000000000E+00_dp)*0.320000000000000000E+02_dp
     569        69160 :                                     TG2 = (2*X2 - 0.937500000000000000E+00_dp)*0.160000000000000000E+02_dp
     570        69160 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 78))
     571              :                                  END IF
     572              :                               END IF
     573              :                            END IF
     574              :                         END IF
     575              :                      ELSE
     576      1722977 :                         IF (X2 <= 0.375000000000000000E+00_dp) THEN
     577      1473530 :                            IF (X1 <= 0.187500000000000000E+00_dp) THEN
     578       612763 :                               IF (X2 <= 0.312500000000000000E+00_dp) THEN
     579       365111 :                                  TG1 = (2*X1 - 0.312500000000000000E+00_dp)*0.160000000000000000E+02_dp
     580       365111 :                                  TG2 = (2*X2 - 0.562500000000000000E+00_dp)*0.160000000000000000E+02_dp
     581       365111 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 79))
     582              :                               ELSE
     583       247652 :                                  IF (X1 <= 0.156250000000000000E+00_dp) THEN
     584       172147 :                                     TG1 = (2*X1 - 0.281250000000000000E+00_dp)*0.320000000000000000E+02_dp
     585       172147 :                                     TG2 = (2*X2 - 0.687500000000000000E+00_dp)*0.160000000000000000E+02_dp
     586       172147 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 80))
     587              :                                  ELSE
     588        75505 :                                     TG1 = (2*X1 - 0.343750000000000000E+00_dp)*0.320000000000000000E+02_dp
     589        75505 :                                     TG2 = (2*X2 - 0.687500000000000000E+00_dp)*0.160000000000000000E+02_dp
     590        75505 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 81))
     591              :                                  END IF
     592              :                               END IF
     593              :                            ELSE
     594       860767 :                               IF (X2 <= 0.312500000000000000E+00_dp) THEN
     595       744300 :                                  TG1 = (2*X1 - 0.437500000000000000E+00_dp)*0.160000000000000000E+02_dp
     596       744300 :                                  TG2 = (2*X2 - 0.562500000000000000E+00_dp)*0.160000000000000000E+02_dp
     597       744300 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 82))
     598              :                               ELSE
     599       116467 :                                  TG1 = (2*X1 - 0.437500000000000000E+00_dp)*0.160000000000000000E+02_dp
     600       116467 :                                  TG2 = (2*X2 - 0.687500000000000000E+00_dp)*0.160000000000000000E+02_dp
     601       116467 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 83))
     602              :                               END IF
     603              :                            END IF
     604              :                         ELSE
     605       249447 :                            IF (X1 <= 0.187500000000000000E+00_dp) THEN
     606       183691 :                               IF (X2 <= 0.437500000000000000E+00_dp) THEN
     607       112865 :                                  TG1 = (2*X1 - 0.312500000000000000E+00_dp)*0.160000000000000000E+02_dp
     608       112865 :                                  TG2 = (2*X2 - 0.812500000000000000E+00_dp)*0.160000000000000000E+02_dp
     609       112865 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 84))
     610              :                               ELSE
     611        70826 :                                  IF (X1 <= 0.156250000000000000E+00_dp) THEN
     612        44122 :                                     TG1 = (2*X1 - 0.281250000000000000E+00_dp)*0.320000000000000000E+02_dp
     613        44122 :                                     TG2 = (2*X2 - 0.937500000000000000E+00_dp)*0.160000000000000000E+02_dp
     614        44122 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 85))
     615              :                                  ELSE
     616        26704 :                                     TG1 = (2*X1 - 0.343750000000000000E+00_dp)*0.320000000000000000E+02_dp
     617        26704 :                                     TG2 = (2*X2 - 0.937500000000000000E+00_dp)*0.160000000000000000E+02_dp
     618        26704 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 86))
     619              :                                  END IF
     620              :                               END IF
     621              :                            ELSE
     622        65756 :                               IF (X1 <= 0.218750000000000000E+00_dp) THEN
     623        40110 :                                  TG1 = (2*X1 - 0.406250000000000000E+00_dp)*0.320000000000000000E+02_dp
     624        40110 :                                  TG2 = (2*X2 - 0.875000000000000000E+00_dp)*0.800000000000000000E+01_dp
     625        40110 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 87))
     626              :                               ELSE
     627        25646 :                                  TG1 = (2*X1 - 0.468750000000000000E+00_dp)*0.320000000000000000E+02_dp
     628        25646 :                                  TG2 = (2*X2 - 0.875000000000000000E+00_dp)*0.800000000000000000E+01_dp
     629        25646 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 88))
     630              :                               END IF
     631              :                            END IF
     632              :                         END IF
     633              :                      END IF
     634              :                   ELSE
     635      5411201 :                      IF (X1 <= 0.375000000000000000E+00_dp) THEN
     636      1650547 :                         IF (X2 <= 0.375000000000000000E+00_dp) THEN
     637      1517432 :                            IF (X1 <= 0.312500000000000000E+00_dp) THEN
     638       706444 :                               TG1 = (2*X1 - 0.562500000000000000E+00_dp)*0.160000000000000000E+02_dp
     639       706444 :                               TG2 = (2*X2 - 0.625000000000000000E+00_dp)*0.800000000000000000E+01_dp
     640       706444 :                               CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 89))
     641              :                            ELSE
     642       810988 :                               TG1 = (2*X1 - 0.687500000000000000E+00_dp)*0.160000000000000000E+02_dp
     643       810988 :                               TG2 = (2*X2 - 0.625000000000000000E+00_dp)*0.800000000000000000E+01_dp
     644       810988 :                               CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 90))
     645              :                            END IF
     646              :                         ELSE
     647       133115 :                            IF (X1 <= 0.312500000000000000E+00_dp) THEN
     648        65444 :                               IF (X1 <= 0.281250000000000000E+00_dp) THEN
     649        31377 :                                  TG1 = (2*X1 - 0.531250000000000000E+00_dp)*0.320000000000000000E+02_dp
     650        31377 :                                  TG2 = (2*X2 - 0.875000000000000000E+00_dp)*0.800000000000000000E+01_dp
     651        31377 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 91))
     652              :                               ELSE
     653        34067 :                                  TG1 = (2*X1 - 0.593750000000000000E+00_dp)*0.320000000000000000E+02_dp
     654        34067 :                                  TG2 = (2*X2 - 0.875000000000000000E+00_dp)*0.800000000000000000E+01_dp
     655        34067 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 92))
     656              :                               END IF
     657              :                            ELSE
     658        67671 :                               TG1 = (2*X1 - 0.687500000000000000E+00_dp)*0.160000000000000000E+02_dp
     659        67671 :                               TG2 = (2*X2 - 0.875000000000000000E+00_dp)*0.800000000000000000E+01_dp
     660        67671 :                               CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 93))
     661              :                            END IF
     662              :                         END IF
     663              :                      ELSE
     664      3760654 :                         IF (X1 <= 0.437500000000000000E+00_dp) THEN
     665      1598982 :                            TG1 = (2*X1 - 0.812500000000000000E+00_dp)*0.160000000000000000E+02_dp
     666      1598982 :                            TG2 = (2*X2 - 0.750000000000000000E+00_dp)*0.400000000000000000E+01_dp
     667      1598982 :                            CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 94))
     668              :                         ELSE
     669      2161672 :                            TG1 = (2*X1 - 0.937500000000000000E+00_dp)*0.160000000000000000E+02_dp
     670      2161672 :                            TG2 = (2*X2 - 0.750000000000000000E+00_dp)*0.400000000000000000E+01_dp
     671      2161672 :                            CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 95))
     672              :                         END IF
     673              :                      END IF
     674              :                   END IF
     675              :                END IF
     676              :             ELSE
     677     22710296 :                IF (X1 <= 0.250000000000000000E+00_dp) THEN
     678     13151620 :                   IF (X1 <= 0.125000000000000000E+00_dp) THEN
     679      9542813 :                      IF (X1 <= 0.625000000000000000E-01_dp) THEN
     680      7925466 :                         IF (X1 <= 0.312500000000000000E-01_dp) THEN
     681      7176400 :                            IF (X1 <= 0.156250000000000000E-01_dp) THEN
     682      6724598 :                               IF (X1 <= 0.781250000000000000E-02_dp) THEN
     683      6281334 :                                  IF (X2 <= 0.750000000000000000E+00_dp) THEN
     684      4756276 :                                     TG1 = (2*X1 - 0.781250000000000000E-02_dp)*0.128000000000000000E+03_dp
     685      4756276 :                                     TG2 = (2*X2 - 0.125000000000000000E+01_dp)*0.400000000000000000E+01_dp
     686      4756276 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 96))
     687              :                                  ELSE
     688      1525058 :                                     TG1 = (2*X1 - 0.781250000000000000E-02_dp)*0.128000000000000000E+03_dp
     689      1525058 :                                     TG2 = (2*X2 - 0.175000000000000000E+01_dp)*0.400000000000000000E+01_dp
     690      1525058 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 97))
     691              :                                  END IF
     692              :                               ELSE
     693       443264 :                                  IF (X2 <= 0.750000000000000000E+00_dp) THEN
     694       339372 :                                     TG1 = (2*X1 - 0.234375000000000000E-01_dp)*0.128000000000000000E+03_dp
     695       339372 :                                     TG2 = (2*X2 - 0.125000000000000000E+01_dp)*0.400000000000000000E+01_dp
     696       339372 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 98))
     697              :                                  ELSE
     698       103892 :                                     TG1 = (2*X1 - 0.234375000000000000E-01_dp)*0.128000000000000000E+03_dp
     699       103892 :                                     TG2 = (2*X2 - 0.175000000000000000E+01_dp)*0.400000000000000000E+01_dp
     700       103892 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 99))
     701              :                                  END IF
     702              :                               END IF
     703              :                            ELSE
     704       451802 :                               IF (X2 <= 0.750000000000000000E+00_dp) THEN
     705       245338 :                                  TG1 = (2*X1 - 0.468750000000000000E-01_dp)*0.640000000000000000E+02_dp
     706       245338 :                                  TG2 = (2*X2 - 0.125000000000000000E+01_dp)*0.400000000000000000E+01_dp
     707       245338 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 100))
     708              :                               ELSE
     709       206464 :                                  TG1 = (2*X1 - 0.468750000000000000E-01_dp)*0.640000000000000000E+02_dp
     710       206464 :                                  TG2 = (2*X2 - 0.175000000000000000E+01_dp)*0.400000000000000000E+01_dp
     711       206464 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 101))
     712              :                               END IF
     713              :                            END IF
     714              :                         ELSE
     715       749066 :                            IF (X2 <= 0.750000000000000000E+00_dp) THEN
     716       456028 :                               IF (X2 <= 0.625000000000000000E+00_dp) THEN
     717       267931 :                                  TG1 = (2*X1 - 0.937500000000000000E-01_dp)*0.320000000000000000E+02_dp
     718       267931 :                                  TG2 = (2*X2 - 0.112500000000000000E+01_dp)*0.800000000000000000E+01_dp
     719       267931 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 102))
     720              :                               ELSE
     721       188097 :                                  TG1 = (2*X1 - 0.937500000000000000E-01_dp)*0.320000000000000000E+02_dp
     722       188097 :                                  TG2 = (2*X2 - 0.137500000000000000E+01_dp)*0.800000000000000000E+01_dp
     723       188097 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 103))
     724              :                               END IF
     725              :                            ELSE
     726       293038 :                               IF (X1 <= 0.468750000000000000E-01_dp) THEN
     727       136699 :                                  TG1 = (2*X1 - 0.781250000000000000E-01_dp)*0.640000000000000000E+02_dp
     728       136699 :                                  TG2 = (2*X2 - 0.175000000000000000E+01_dp)*0.400000000000000000E+01_dp
     729       136699 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 104))
     730              :                               ELSE
     731       156339 :                                  TG1 = (2*X1 - 0.109375000000000000E+00_dp)*0.640000000000000000E+02_dp
     732       156339 :                                  TG2 = (2*X2 - 0.175000000000000000E+01_dp)*0.400000000000000000E+01_dp
     733       156339 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 105))
     734              :                               END IF
     735              :                            END IF
     736              :                         END IF
     737              :                      ELSE
     738      1617347 :                         IF (X2 <= 0.750000000000000000E+00_dp) THEN
     739       802453 :                            IF (X2 <= 0.625000000000000000E+00_dp) THEN
     740       340955 :                               IF (X1 <= 0.937500000000000000E-01_dp) THEN
     741       208350 :                                  TG1 = (2*X1 - 0.156250000000000000E+00_dp)*0.320000000000000000E+02_dp
     742       208350 :                                  TG2 = (2*X2 - 0.112500000000000000E+01_dp)*0.800000000000000000E+01_dp
     743       208350 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 106))
     744              :                               ELSE
     745       132605 :                                  TG1 = (2*X1 - 0.218750000000000000E+00_dp)*0.320000000000000000E+02_dp
     746       132605 :                                  TG2 = (2*X2 - 0.112500000000000000E+01_dp)*0.800000000000000000E+01_dp
     747       132605 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 107))
     748              :                               END IF
     749              :                            ELSE
     750       461498 :                               IF (X1 <= 0.937500000000000000E-01_dp) THEN
     751       247175 :                                  TG1 = (2*X1 - 0.156250000000000000E+00_dp)*0.320000000000000000E+02_dp
     752       247175 :                                  TG2 = (2*X2 - 0.137500000000000000E+01_dp)*0.800000000000000000E+01_dp
     753       247175 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 108))
     754              :                               ELSE
     755       214323 :                                  TG1 = (2*X1 - 0.218750000000000000E+00_dp)*0.320000000000000000E+02_dp
     756       214323 :                                  TG2 = (2*X2 - 0.137500000000000000E+01_dp)*0.800000000000000000E+01_dp
     757       214323 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 109))
     758              :                               END IF
     759              :                            END IF
     760              :                         ELSE
     761       814894 :                            IF (X1 <= 0.937500000000000000E-01_dp) THEN
     762       328816 :                               TG1 = (2*X1 - 0.156250000000000000E+00_dp)*0.320000000000000000E+02_dp
     763       328816 :                               TG2 = (2*X2 - 0.175000000000000000E+01_dp)*0.400000000000000000E+01_dp
     764       328816 :                               CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 110))
     765              :                            ELSE
     766       486078 :                               TG1 = (2*X1 - 0.218750000000000000E+00_dp)*0.320000000000000000E+02_dp
     767       486078 :                               TG2 = (2*X2 - 0.175000000000000000E+01_dp)*0.400000000000000000E+01_dp
     768       486078 :                               CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 111))
     769              :                            END IF
     770              :                         END IF
     771              :                      END IF
     772              :                   ELSE
     773      3608807 :                      IF (X2 <= 0.750000000000000000E+00_dp) THEN
     774      1367280 :                         IF (X2 <= 0.625000000000000000E+00_dp) THEN
     775       395195 :                            IF (X1 <= 0.187500000000000000E+00_dp) THEN
     776       186187 :                               IF (X1 <= 0.156250000000000000E+00_dp) THEN
     777        91867 :                                  TG1 = (2*X1 - 0.281250000000000000E+00_dp)*0.320000000000000000E+02_dp
     778        91867 :                                  TG2 = (2*X2 - 0.112500000000000000E+01_dp)*0.800000000000000000E+01_dp
     779        91867 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 112))
     780              :                               ELSE
     781        94320 :                                  TG1 = (2*X1 - 0.343750000000000000E+00_dp)*0.320000000000000000E+02_dp
     782        94320 :                                  TG2 = (2*X2 - 0.112500000000000000E+01_dp)*0.800000000000000000E+01_dp
     783        94320 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 113))
     784              :                               END IF
     785              :                            ELSE
     786       209008 :                               IF (X1 <= 0.218750000000000000E+00_dp) THEN
     787       128262 :                                  TG1 = (2*X1 - 0.406250000000000000E+00_dp)*0.320000000000000000E+02_dp
     788       128262 :                                  TG2 = (2*X2 - 0.112500000000000000E+01_dp)*0.800000000000000000E+01_dp
     789       128262 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 114))
     790              :                               ELSE
     791        80746 :                                  TG1 = (2*X1 - 0.468750000000000000E+00_dp)*0.320000000000000000E+02_dp
     792        80746 :                                  TG2 = (2*X2 - 0.112500000000000000E+01_dp)*0.800000000000000000E+01_dp
     793        80746 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 115))
     794              :                               END IF
     795              :                            END IF
     796              :                         ELSE
     797       972085 :                            IF (X1 <= 0.187500000000000000E+00_dp) THEN
     798       424718 :                               IF (X1 <= 0.156250000000000000E+00_dp) THEN
     799       184713 :                                  TG1 = (2*X1 - 0.281250000000000000E+00_dp)*0.320000000000000000E+02_dp
     800       184713 :                                  TG2 = (2*X2 - 0.137500000000000000E+01_dp)*0.800000000000000000E+01_dp
     801       184713 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 116))
     802              :                               ELSE
     803       240005 :                                  TG1 = (2*X1 - 0.343750000000000000E+00_dp)*0.320000000000000000E+02_dp
     804       240005 :                                  TG2 = (2*X2 - 0.137500000000000000E+01_dp)*0.800000000000000000E+01_dp
     805       240005 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 117))
     806              :                               END IF
     807              :                            ELSE
     808       547367 :                               IF (X1 <= 0.218750000000000000E+00_dp) THEN
     809       270743 :                                  TG1 = (2*X1 - 0.406250000000000000E+00_dp)*0.320000000000000000E+02_dp
     810       270743 :                                  TG2 = (2*X2 - 0.137500000000000000E+01_dp)*0.800000000000000000E+01_dp
     811       270743 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 118))
     812              :                               ELSE
     813       276624 :                                  TG1 = (2*X1 - 0.468750000000000000E+00_dp)*0.320000000000000000E+02_dp
     814       276624 :                                  TG2 = (2*X2 - 0.137500000000000000E+01_dp)*0.800000000000000000E+01_dp
     815       276624 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 119))
     816              :                               END IF
     817              :                            END IF
     818              :                         END IF
     819              :                      ELSE
     820      2241527 :                         IF (X1 <= 0.187500000000000000E+00_dp) THEN
     821      1017271 :                            IF (X2 <= 0.875000000000000000E+00_dp) THEN
     822       535184 :                               TG1 = (2*X1 - 0.312500000000000000E+00_dp)*0.160000000000000000E+02_dp
     823       535184 :                               TG2 = (2*X2 - 0.162500000000000000E+01_dp)*0.800000000000000000E+01_dp
     824       535184 :                               CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 120))
     825              :                            ELSE
     826       482087 :                               TG1 = (2*X1 - 0.312500000000000000E+00_dp)*0.160000000000000000E+02_dp
     827       482087 :                               TG2 = (2*X2 - 0.187500000000000000E+01_dp)*0.800000000000000000E+01_dp
     828       482087 :                               CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 121))
     829              :                            END IF
     830              :                         ELSE
     831      1224256 :                            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       536798 :                               TG1 = (2*X1 - 0.437500000000000000E+00_dp)*0.160000000000000000E+02_dp
     843       536798 :                               TG2 = (2*X2 - 0.187500000000000000E+01_dp)*0.800000000000000000E+01_dp
     844       536798 :                               CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 124))
     845              :                            END IF
     846              :                         END IF
     847              :                      END IF
     848              :                   END IF
     849              :                ELSE
     850      9558676 :                   IF (X1 <= 0.375000000000000000E+00_dp) THEN
     851      4342232 :                      IF (X2 <= 0.750000000000000000E+00_dp) THEN
     852      1570494 :                         IF (X1 <= 0.312500000000000000E+00_dp) THEN
     853       739744 :                            IF (X2 <= 0.625000000000000000E+00_dp) THEN
     854       181131 :                               IF (X1 <= 0.281250000000000000E+00_dp) THEN
     855        89988 :                                  TG1 = (2*X1 - 0.531250000000000000E+00_dp)*0.320000000000000000E+02_dp
     856        89988 :                                  TG2 = (2*X2 - 0.112500000000000000E+01_dp)*0.800000000000000000E+01_dp
     857        89988 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 125))
     858              :                               ELSE
     859        91143 :                                  TG1 = (2*X1 - 0.593750000000000000E+00_dp)*0.320000000000000000E+02_dp
     860        91143 :                                  TG2 = (2*X2 - 0.112500000000000000E+01_dp)*0.800000000000000000E+01_dp
     861        91143 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 126))
     862              :                               END IF
     863              :                            ELSE
     864       558613 :                               IF (X1 <= 0.281250000000000000E+00_dp) THEN
     865       275956 :                                  TG1 = (2*X1 - 0.531250000000000000E+00_dp)*0.320000000000000000E+02_dp
     866       275956 :                                  TG2 = (2*X2 - 0.137500000000000000E+01_dp)*0.800000000000000000E+01_dp
     867       275956 :                                  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       830750 :                            IF (X2 <= 0.625000000000000000E+00_dp) THEN
     876       178102 :                               TG1 = (2*X1 - 0.687500000000000000E+00_dp)*0.160000000000000000E+02_dp
     877       178102 :                               TG2 = (2*X2 - 0.112500000000000000E+01_dp)*0.800000000000000000E+01_dp
     878       178102 :                               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      2771738 :                         IF (X1 <= 0.312500000000000000E+00_dp) THEN
     893      1357285 :                            IF (X2 <= 0.875000000000000000E+00_dp) THEN
     894       760725 :                               IF (X1 <= 0.281250000000000000E+00_dp) THEN
     895       371857 :                                  TG1 = (2*X1 - 0.531250000000000000E+00_dp)*0.320000000000000000E+02_dp
     896       371857 :                                  TG2 = (2*X2 - 0.162500000000000000E+01_dp)*0.800000000000000000E+01_dp
     897       371857 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 132))
     898              :                               ELSE
     899       388868 :                                  TG1 = (2*X1 - 0.593750000000000000E+00_dp)*0.320000000000000000E+02_dp
     900       388868 :                                  TG2 = (2*X2 - 0.162500000000000000E+01_dp)*0.800000000000000000E+01_dp
     901       388868 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 133))
     902              :                               END IF
     903              :                            ELSE
     904       596560 :                               IF (X1 <= 0.281250000000000000E+00_dp) THEN
     905       305026 :                                  TG1 = (2*X1 - 0.531250000000000000E+00_dp)*0.320000000000000000E+02_dp
     906       305026 :                                  TG2 = (2*X2 - 0.187500000000000000E+01_dp)*0.800000000000000000E+01_dp
     907       305026 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 134))
     908              :                               ELSE
     909       291534 :                                  TG1 = (2*X1 - 0.593750000000000000E+00_dp)*0.320000000000000000E+02_dp
     910       291534 :                                  TG2 = (2*X2 - 0.187500000000000000E+01_dp)*0.800000000000000000E+01_dp
     911       291534 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 135))
     912              :                               END IF
     913              :                            END IF
     914              :                         ELSE
     915      1414453 :                            IF (X2 <= 0.875000000000000000E+00_dp) THEN
     916       801832 :                               IF (X1 <= 0.343750000000000000E+00_dp) THEN
     917       351738 :                                  TG1 = (2*X1 - 0.656250000000000000E+00_dp)*0.320000000000000000E+02_dp
     918       351738 :                                  TG2 = (2*X2 - 0.162500000000000000E+01_dp)*0.800000000000000000E+01_dp
     919       351738 :                                  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       612621 :                               TG1 = (2*X1 - 0.687500000000000000E+00_dp)*0.160000000000000000E+02_dp
     927       612621 :                               TG2 = (2*X2 - 0.187500000000000000E+01_dp)*0.800000000000000000E+01_dp
     928       612621 :                               CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 138))
     929              :                            END IF
     930              :                         END IF
     931              :                      END IF
     932              :                   ELSE
     933      5216444 :                      IF (X2 <= 0.750000000000000000E+00_dp) THEN
     934      1748824 :                         IF (X1 <= 0.437500000000000000E+00_dp) THEN
     935       851829 :                            IF (X2 <= 0.625000000000000000E+00_dp) THEN
     936       172992 :                               TG1 = (2*X1 - 0.812500000000000000E+00_dp)*0.160000000000000000E+02_dp
     937       172992 :                               TG2 = (2*X2 - 0.112500000000000000E+01_dp)*0.800000000000000000E+01_dp
     938       172992 :                               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       896995 :                            TG1 = (2*X1 - 0.937500000000000000E+00_dp)*0.160000000000000000E+02_dp
     946       896995 :                            TG2 = (2*X2 - 0.125000000000000000E+01_dp)*0.400000000000000000E+01_dp
     947       896995 :                            CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 141))
     948              :                         END IF
     949              :                      ELSE
     950      3467620 :                         IF (X1 <= 0.437500000000000000E+00_dp) THEN
     951      1690552 :                            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       741554 :                               TG1 = (2*X1 - 0.812500000000000000E+00_dp)*0.160000000000000000E+02_dp
     957       741554 :                               TG2 = (2*X2 - 0.187500000000000000E+01_dp)*0.800000000000000000E+01_dp
     958       741554 :                               CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 143))
     959              :                            END IF
     960              :                         ELSE
     961      1777068 :                            IF (X2 <= 0.875000000000000000E+00_dp) THEN
     962       935870 :                               TG1 = (2*X1 - 0.937500000000000000E+00_dp)*0.160000000000000000E+02_dp
     963       935870 :                               TG2 = (2*X2 - 0.162500000000000000E+01_dp)*0.800000000000000000E+01_dp
     964       935870 :                               CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 144))
     965              :                            ELSE
     966       841198 :                               TG1 = (2*X1 - 0.937500000000000000E+00_dp)*0.160000000000000000E+02_dp
     967       841198 :                               TG2 = (2*X2 - 0.187500000000000000E+01_dp)*0.800000000000000000E+01_dp
     968       841198 :                               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     71958912 :             IF (X1 <= 0.750000000000000000E+00_dp) THEN
     977     55172266 :                IF (X2 <= 0.500000000000000000E+00_dp) THEN
     978     42995485 :                   IF (X1 <= 0.625000000000000000E+00_dp) THEN
     979     27446206 :                      IF (X2 <= 0.250000000000000000E+00_dp) THEN
     980     22036129 :                         TG1 = (2*X1 - 0.112500000000000000E+01_dp)*0.800000000000000000E+01_dp
     981     22036129 :                         TG2 = (2*X2 - 0.250000000000000000E+00_dp)*0.400000000000000000E+01_dp
     982     22036129 :                         CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 146))
     983              :                      ELSE
     984      5410077 :                         TG1 = (2*X1 - 0.112500000000000000E+01_dp)*0.800000000000000000E+01_dp
     985      5410077 :                         TG2 = (2*X2 - 0.750000000000000000E+00_dp)*0.400000000000000000E+01_dp
     986      5410077 :                         CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 147))
     987              :                      END IF
     988              :                   ELSE
     989     15549279 :                      TG1 = (2*X1 - 0.137500000000000000E+01_dp)*0.800000000000000000E+01_dp
     990     15549279 :                      TG2 = (2*X2 - 0.500000000000000000E+00_dp)*0.200000000000000000E+01_dp
     991     15549279 :                      CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 148))
     992              :                   END IF
     993              :                ELSE
     994     12176781 :                   IF (X1 <= 0.625000000000000000E+00_dp) THEN
     995      5920135 :                      IF (X2 <= 0.750000000000000000E+00_dp) THEN
     996      2033925 :                         IF (X1 <= 0.562500000000000000E+00_dp) THEN
     997      1021423 :                            TG1 = (2*X1 - 0.106250000000000000E+01_dp)*0.160000000000000000E+02_dp
     998      1021423 :                            TG2 = (2*X2 - 0.125000000000000000E+01_dp)*0.400000000000000000E+01_dp
     999      1021423 :                            CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 149))
    1000              :                         ELSE
    1001      1012502 :                            TG1 = (2*X1 - 0.118750000000000000E+01_dp)*0.160000000000000000E+02_dp
    1002      1012502 :                            TG2 = (2*X2 - 0.125000000000000000E+01_dp)*0.400000000000000000E+01_dp
    1003      1012502 :                            CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 150))
    1004              :                         END IF
    1005              :                      ELSE
    1006      3886210 :                         IF (X1 <= 0.562500000000000000E+00_dp) THEN
    1007      1898622 :                            TG1 = (2*X1 - 0.106250000000000000E+01_dp)*0.160000000000000000E+02_dp
    1008      1898622 :                            TG2 = (2*X2 - 0.175000000000000000E+01_dp)*0.400000000000000000E+01_dp
    1009      1898622 :                            CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 151))
    1010              :                         ELSE
    1011      1987588 :                            TG1 = (2*X1 - 0.118750000000000000E+01_dp)*0.160000000000000000E+02_dp
    1012      1987588 :                            TG2 = (2*X2 - 0.175000000000000000E+01_dp)*0.400000000000000000E+01_dp
    1013      1987588 :                            CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 152))
    1014              :                         END IF
    1015              :                      END IF
    1016              :                   ELSE
    1017      6256646 :                      IF (X1 <= 0.687500000000000000E+00_dp) THEN
    1018      3130090 :                         TG1 = (2*X1 - 0.131250000000000000E+01_dp)*0.160000000000000000E+02_dp
    1019      3130090 :                         TG2 = (2*X2 - 0.150000000000000000E+01_dp)*0.200000000000000000E+01_dp
    1020      3130090 :                         CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 153))
    1021              :                      ELSE
    1022      3126556 :                         TG1 = (2*X1 - 0.143750000000000000E+01_dp)*0.160000000000000000E+02_dp
    1023      3126556 :                         TG2 = (2*X2 - 0.150000000000000000E+01_dp)*0.200000000000000000E+01_dp
    1024      3126556 :                         CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 154))
    1025              :                      END IF
    1026              :                   END IF
    1027              :                END IF
    1028              :             ELSE
    1029     16786646 :                TG1 = (2*X1 - 0.175000000000000000E+01_dp)*0.400000000000000000E+01_dp
    1030     16786646 :                TG2 = (2*X2 - 0.100000000000000000E+01_dp)*0.100000000000000000E+01_dp
    1031     16786646 :                CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 155))
    1032              :             END IF
    1033              :          END IF
    1034              :       ELSE
    1035     37723500 :          IF (T < lower) THEN
    1036      5424042 :             use_gamma = .TRUE.
    1037      5424042 :             RETURN
    1038              :          END IF
    1039     32299458 :          X2 = 11.0_dp/R
    1040     32299458 :          X1 = (T - lower)/(upper - lower)
    1041     32299458 :          IF (X1 <= 0.500000000000000000E+00_dp) THEN
    1042     13070693 :             IF (X1 <= 0.250000000000000000E+00_dp) THEN
    1043      6046513 :                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      5555205 :                   IF (X1 <= 0.125000000000000000E+00_dp) THEN
    1061      2517850 :                      IF (X2 <= 0.750000000000000000E+00_dp) THEN
    1062      1192699 :                         IF (X2 <= 0.625000000000000000E+00_dp) THEN
    1063       479192 :                            TG1 = (2*X1 - 0.125000000000000000E+00_dp)*0.800000000000000000E+01_dp
    1064       479192 :                            TG2 = (2*X2 - 0.112500000000000000E+01_dp)*0.800000000000000000E+01_dp
    1065       479192 :                            CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 159))
    1066              :                         ELSE
    1067       713507 :                            IF (X1 <= 0.625000000000000000E-01_dp) THEN
    1068       316918 :                               TG1 = (2*X1 - 0.625000000000000000E-01_dp)*0.160000000000000000E+02_dp
    1069       316918 :                               TG2 = (2*X2 - 0.137500000000000000E+01_dp)*0.800000000000000000E+01_dp
    1070       316918 :                               CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 160))
    1071              :                            ELSE
    1072       396589 :                               TG1 = (2*X1 - 0.187500000000000000E+00_dp)*0.160000000000000000E+02_dp
    1073       396589 :                               TG2 = (2*X2 - 0.137500000000000000E+01_dp)*0.800000000000000000E+01_dp
    1074       396589 :                               CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 161))
    1075              :                            END IF
    1076              :                         END IF
    1077              :                      ELSE
    1078      1325151 :                         IF (X1 <= 0.625000000000000000E-01_dp) THEN
    1079       537929 :                            IF (X2 <= 0.875000000000000000E+00_dp) THEN
    1080       342973 :                               IF (X1 <= 0.312500000000000000E-01_dp) THEN
    1081       152927 :                                  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        46479 :                                     TG1 = (2*X1 - 0.312500000000000000E-01_dp)*0.320000000000000000E+02_dp
    1087        46479 :                                     TG2 = (2*X2 - 0.168750000000000000E+01_dp)*0.160000000000000000E+02_dp
    1088        46479 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 163))
    1089              :                                  END IF
    1090              :                               ELSE
    1091       190046 :                                  TG1 = (2*X1 - 0.937500000000000000E-01_dp)*0.320000000000000000E+02_dp
    1092       190046 :                                  TG2 = (2*X2 - 0.162500000000000000E+01_dp)*0.800000000000000000E+01_dp
    1093       190046 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 164))
    1094              :                               END IF
    1095              :                            ELSE
    1096       194956 :                               IF (X1 <= 0.312500000000000000E-01_dp) THEN
    1097        90905 :                                  IF (X2 <= 0.937500000000000000E+00_dp) THEN
    1098        36516 :                                     IF (X1 <= 0.156250000000000000E-01_dp) THEN
    1099        14320 :                                        IF (X2 <= 0.906250000000000000E+00_dp) THEN
    1100         6188 :                                           TG1 = (2*X1 - 0.156250000000000000E-01_dp)*0.640000000000000000E+02_dp
    1101         6188 :                                           TG2 = (2*X2 - 0.178125000000000000E+01_dp)*0.320000000000000000E+02_dp
    1102         6188 :                                           CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 165))
    1103              :                                        ELSE
    1104         8132 :                                           TG1 = (2*X1 - 0.156250000000000000E-01_dp)*0.640000000000000000E+02_dp
    1105         8132 :                                           TG2 = (2*X2 - 0.184375000000000000E+01_dp)*0.320000000000000000E+02_dp
    1106         8132 :                                           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        54389 :                                     IF (X1 <= 0.156250000000000000E-01_dp) THEN
    1115        26581 :                                        IF (X2 <= 0.968750000000000000E+00_dp) THEN
    1116        16725 :                                           IF (X1 <= 0.781250000000000000E-02_dp) THEN
    1117         8594 :                                              IF (X2 <= 0.953125000000000000E+00_dp) THEN
    1118         3300 :                                                 TG1 = (2*X1 - 0.781250000000000000E-02_dp)*0.128000000000000000E+03_dp
    1119         3300 :                                                 TG2 = (2*X2 - 0.189062500000000000E+01_dp)*0.640000000000000000E+02_dp
    1120         3300 :                                                 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         9856 :                                           IF (X1 <= 0.781250000000000000E-02_dp) THEN
    1133         4060 :                                              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         2695 :                                                 TG1 = (2*X1 - 0.781250000000000000E-02_dp)*0.128000000000000000E+03_dp
    1139         2695 :                                                 TG2 = (2*X2 - 0.198437500000000000E+01_dp)*0.640000000000000000E+02_dp
    1140         2695 :                                                 CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 172))
    1141              :                                              END IF
    1142              :                                           ELSE
    1143         5796 :                                              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         4433 :                                                 TG1 = (2*X1 - 0.234375000000000000E-01_dp)*0.128000000000000000E+03_dp
    1149         4433 :                                                 TG2 = (2*X2 - 0.198437500000000000E+01_dp)*0.640000000000000000E+02_dp
    1150         4433 :                                                 CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 174))
    1151              :                                              END IF
    1152              :                                           END IF
    1153              :                                        END IF
    1154              :                                     ELSE
    1155        27808 :                                        IF (X2 <= 0.968750000000000000E+00_dp) THEN
    1156        12795 :                                           TG1 = (2*X1 - 0.468750000000000000E-01_dp)*0.640000000000000000E+02_dp
    1157        12795 :                                           TG2 = (2*X2 - 0.190625000000000000E+01_dp)*0.320000000000000000E+02_dp
    1158        12795 :                                           CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 175))
    1159              :                                        ELSE
    1160        15013 :                                           IF (X1 <= 0.234375000000000000E-01_dp) THEN
    1161         7468 :                                              TG1 = (2*X1 - 0.390625000000000000E-01_dp)*0.128000000000000000E+03_dp
    1162         7468 :                                              TG2 = (2*X2 - 0.196875000000000000E+01_dp)*0.320000000000000000E+02_dp
    1163         7468 :                                              CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 176))
    1164              :                                           ELSE
    1165         7545 :                                              TG1 = (2*X1 - 0.546875000000000000E-01_dp)*0.128000000000000000E+03_dp
    1166         7545 :                                              TG2 = (2*X2 - 0.196875000000000000E+01_dp)*0.320000000000000000E+02_dp
    1167         7545 :                                              CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 177))
    1168              :                                           END IF
    1169              :                                        END IF
    1170              :                                     END IF
    1171              :                                  END IF
    1172              :                               ELSE
    1173       104051 :                                  IF (X2 <= 0.937500000000000000E+00_dp) THEN
    1174        43577 :                                     TG1 = (2*X1 - 0.937500000000000000E-01_dp)*0.320000000000000000E+02_dp
    1175        43577 :                                     TG2 = (2*X2 - 0.181250000000000000E+01_dp)*0.160000000000000000E+02_dp
    1176        43577 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 178))
    1177              :                                  ELSE
    1178        60474 :                                     IF (X1 <= 0.468750000000000000E-01_dp) THEN
    1179        28489 :                                        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         7926 :                                           TG1 = (2*X1 - 0.781250000000000000E-01_dp)*0.640000000000000000E+02_dp
    1185         7926 :                                           TG2 = (2*X2 - 0.196875000000000000E+01_dp)*0.320000000000000000E+02_dp
    1186         7926 :                                           CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 180))
    1187              :                                        END IF
    1188              :                                     ELSE
    1189        31985 :                                        TG1 = (2*X1 - 0.109375000000000000E+00_dp)*0.640000000000000000E+02_dp
    1190        31985 :                                        TG2 = (2*X2 - 0.193750000000000000E+01_dp)*0.160000000000000000E+02_dp
    1191        31985 :                                        CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 181))
    1192              :                                     END IF
    1193              :                                  END IF
    1194              :                               END IF
    1195              :                            END IF
    1196              :                         ELSE
    1197       787222 :                            IF (X2 <= 0.875000000000000000E+00_dp) THEN
    1198       451057 :                               TG1 = (2*X1 - 0.187500000000000000E+00_dp)*0.160000000000000000E+02_dp
    1199       451057 :                               TG2 = (2*X2 - 0.162500000000000000E+01_dp)*0.800000000000000000E+01_dp
    1200       451057 :                               CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 182))
    1201              :                            ELSE
    1202       336165 :                               IF (X1 <= 0.937500000000000000E-01_dp) THEN
    1203       140897 :                                  IF (X2 <= 0.937500000000000000E+00_dp) THEN
    1204        82285 :                                     TG1 = (2*X1 - 0.156250000000000000E+00_dp)*0.320000000000000000E+02_dp
    1205        82285 :                                     TG2 = (2*X2 - 0.181250000000000000E+01_dp)*0.160000000000000000E+02_dp
    1206        82285 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 183))
    1207              :                                  ELSE
    1208        58612 :                                     TG1 = (2*X1 - 0.156250000000000000E+00_dp)*0.320000000000000000E+02_dp
    1209        58612 :                                     TG2 = (2*X2 - 0.193750000000000000E+01_dp)*0.160000000000000000E+02_dp
    1210        58612 :                                     CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 184))
    1211              :                                  END IF
    1212              :                               ELSE
    1213       195268 :                                  TG1 = (2*X1 - 0.218750000000000000E+00_dp)*0.320000000000000000E+02_dp
    1214       195268 :                                  TG2 = (2*X2 - 0.187500000000000000E+01_dp)*0.800000000000000000E+01_dp
    1215       195268 :                                  CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 185))
    1216              :                               END IF
    1217              :                            END IF
    1218              :                         END IF
    1219              :                      END IF
    1220              :                   ELSE
    1221      3037355 :                      IF (X2 <= 0.750000000000000000E+00_dp) THEN
    1222      1137980 :                         TG1 = (2*X1 - 0.375000000000000000E+00_dp)*0.800000000000000000E+01_dp
    1223      1137980 :                         TG2 = (2*X2 - 0.125000000000000000E+01_dp)*0.400000000000000000E+01_dp
    1224      1137980 :                         CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 186))
    1225              :                      ELSE
    1226      1899375 :                         IF (X1 <= 0.187500000000000000E+00_dp) THEN
    1227       904856 :                            IF (X2 <= 0.875000000000000000E+00_dp) THEN
    1228       493983 :                               TG1 = (2*X1 - 0.312500000000000000E+00_dp)*0.160000000000000000E+02_dp
    1229       493983 :                               TG2 = (2*X2 - 0.162500000000000000E+01_dp)*0.800000000000000000E+01_dp
    1230       493983 :                               CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 187))
    1231              :                            ELSE
    1232       410873 :                               TG1 = (2*X1 - 0.312500000000000000E+00_dp)*0.160000000000000000E+02_dp
    1233       410873 :                               TG2 = (2*X2 - 0.187500000000000000E+01_dp)*0.800000000000000000E+01_dp
    1234       410873 :                               CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 188))
    1235              :                            END IF
    1236              :                         ELSE
    1237       994519 :                            TG1 = (2*X1 - 0.437500000000000000E+00_dp)*0.160000000000000000E+02_dp
    1238       994519 :                            TG2 = (2*X2 - 0.175000000000000000E+01_dp)*0.400000000000000000E+01_dp
    1239       994519 :                            CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 189))
    1240              :                         END IF
    1241              :                      END IF
    1242              :                   END IF
    1243              :                END IF
    1244              :             ELSE
    1245      7024180 :                IF (X1 <= 0.375000000000000000E+00_dp) THEN
    1246      2884810 :                   IF (X1 <= 0.312500000000000000E+00_dp) THEN
    1247      1419257 :                      IF (X1 <= 0.281250000000000000E+00_dp) THEN
    1248       712256 :                         TG1 = (2*X1 - 0.531250000000000000E+00_dp)*0.320000000000000000E+02_dp
    1249       712256 :                         TG2 = (2*X2 - 0.100000000000000000E+01_dp)*0.100000000000000000E+01_dp
    1250       712256 :                         CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 190))
    1251              :                      ELSE
    1252       707001 :                         TG1 = (2*X1 - 0.593750000000000000E+00_dp)*0.320000000000000000E+02_dp
    1253       707001 :                         TG2 = (2*X2 - 0.100000000000000000E+01_dp)*0.100000000000000000E+01_dp
    1254       707001 :                         CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 191))
    1255              :                      END IF
    1256              :                   ELSE
    1257      1465553 :                      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      1386717 :                         TG1 = (2*X1 - 0.687500000000000000E+00_dp)*0.160000000000000000E+02_dp
    1263      1386717 :                         TG2 = (2*X2 - 0.150000000000000000E+01_dp)*0.200000000000000000E+01_dp
    1264      1386717 :                         CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 193))
    1265              :                      END IF
    1266              :                   END IF
    1267              :                ELSE
    1268      4139370 :                   IF (X1 <= 0.437500000000000000E+00_dp) THEN
    1269      1523332 :                      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      1457503 :                         IF (X1 <= 0.406250000000000000E+00_dp) THEN
    1275       644584 :                            TG1 = (2*X1 - 0.781250000000000000E+00_dp)*0.320000000000000000E+02_dp
    1276       644584 :                            TG2 = (2*X2 - 0.150000000000000000E+01_dp)*0.200000000000000000E+01_dp
    1277       644584 :                            CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 195))
    1278              :                         ELSE
    1279       812919 :                            TG1 = (2*X1 - 0.843750000000000000E+00_dp)*0.320000000000000000E+02_dp
    1280       812919 :                            TG2 = (2*X2 - 0.150000000000000000E+01_dp)*0.200000000000000000E+01_dp
    1281       812919 :                            CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 196))
    1282              :                         END IF
    1283              :                      END IF
    1284              :                   ELSE
    1285      2616038 :                      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      2257201 :                         TG1 = (2*X1 - 0.937500000000000000E+00_dp)*0.160000000000000000E+02_dp
    1291      2257201 :                         TG2 = (2*X2 - 0.150000000000000000E+01_dp)*0.200000000000000000E+01_dp
    1292      2257201 :                         CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 198))
    1293              :                      END IF
    1294              :                   END IF
    1295              :                END IF
    1296              :             END IF
    1297              :          ELSE
    1298     19228765 :             IF (X1 <= 0.750000000000000000E+00_dp) THEN
    1299     11491024 :                IF (X1 <= 0.625000000000000000E+00_dp) THEN
    1300      5399639 :                   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      5178063 :                      IF (X1 <= 0.562500000000000000E+00_dp) THEN
    1312      2388359 :                         TG1 = (2*X1 - 0.106250000000000000E+01_dp)*0.160000000000000000E+02_dp
    1313      2388359 :                         TG2 = (2*X2 - 0.150000000000000000E+01_dp)*0.200000000000000000E+01_dp
    1314      2388359 :                         CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 201))
    1315              :                      ELSE
    1316      2789704 :                         TG1 = (2*X1 - 0.118750000000000000E+01_dp)*0.160000000000000000E+02_dp
    1317      2789704 :                         TG2 = (2*X2 - 0.150000000000000000E+01_dp)*0.200000000000000000E+01_dp
    1318      2789704 :                         CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 202))
    1319              :                      END IF
    1320              :                   END IF
    1321              :                ELSE
    1322      6091385 :                   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      5533274 :                      TG1 = (2*X1 - 0.137500000000000000E+01_dp)*0.800000000000000000E+01_dp
    1334      5533274 :                      TG2 = (2*X2 - 0.150000000000000000E+01_dp)*0.200000000000000000E+01_dp
    1335      5533274 :                      CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 205))
    1336              :                   END IF
    1337              :                END IF
    1338              :             ELSE
    1339      7737741 :                IF (X1 <= 0.875000000000000000E+00_dp) THEN
    1340      4846479 :                   TG1 = (2*X1 - 0.162500000000000000E+01_dp)*0.800000000000000000E+01_dp
    1341      4846479 :                   TG2 = (2*X2 - 0.100000000000000000E+01_dp)*0.100000000000000000E+01_dp
    1342      4846479 :                   CALL PD2VAL(RES, NDERIV, TG1, TG2, C0(1, 206))
    1343              :                ELSE
    1344      2891262 :                   TG1 = (2*X1 - 0.187500000000000000E+01_dp)*0.800000000000000000E+01_dp
    1345      2891262 :                   TG2 = (2*X2 - 0.100000000000000000E+01_dp)*0.100000000000000000E+01_dp
    1346      2891262 :                   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          658 :    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          658 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:)           :: chunk
    1367              : 
    1368          658 :       patches = 207
    1369          658 :       IF (Nder > nderiv_max) CPABORT("T_C_G0 init failed")
    1370          658 :       nderiv_init = Nder
    1371          658 :       IF (ALLOCATED(C0)) DEALLOCATE (C0)
    1372              :       ! round up to a multiple of 32 to give some generous alignment for each C0
    1373         2632 :       ALLOCATE (C0(32*((31 + (Nder + 1)*(degree + 1)*(degree + 2)/2)/32), patches))
    1374              :       ! init mpi'ed buffers to silence warnings under valgrind
    1375    102292192 :       C0 = 1.0E99_dp
    1376          658 :       IF (mepos == 0) THEN
    1377          329 :          ALLOCATE (chunk((nderiv_max + 1)*(degree + 1)*(degree + 2)/2))
    1378        68432 :          DO I = 1, patches
    1379        68103 :             READ (iunit, *) chunk
    1380     50211077 :             C0(1:(Nder + 1)*(degree + 1)*(degree + 2)/2, I) = chunk(1:(Nder + 1)*(degree + 1)*(degree + 2)/2)
    1381              :          END DO
    1382          329 :          DEALLOCATE (chunk)
    1383              :       END IF
    1384          658 :       CALL group%bcast(C0, 0)
    1385              : 
    1386          658 :    END SUBROUTINE init
    1387              : 
    1388              : ! **************************************************************************************************
    1389              : !> \brief ...
    1390              : ! **************************************************************************************************
    1391          374 :    SUBROUTINE free_C0()
    1392          374 :       IF (ALLOCATED(C0)) DEALLOCATE (C0)
    1393          374 :       nderiv_init = -1
    1394          374 :    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    245491232 :    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    245491232 :       T1(0) = 1.0_dp
    1415    245491232 :       T2(0) = 1.0_dp
    1416    245491232 :       T1(1) = SQRT2*TG1
    1417    245491232 :       T2(1) = SQRT2*TG2
    1418    245491232 :       T1(2) = 2*TG1*T1(1) - SQRT2
    1419    245491232 :       T2(2) = 2*TG2*T2(1) - SQRT2
    1420    245491232 :       T1(3) = 2*TG1*T1(2) - T1(1)
    1421    245491232 :       T2(3) = 2*TG2*T2(2) - T2(1)
    1422    245491232 :       T1(4) = 2*TG1*T1(3) - T1(2)
    1423    245491232 :       T2(4) = 2*TG2*T2(3) - T2(2)
    1424    245491232 :       T1(5) = 2*TG1*T1(4) - T1(3)
    1425    245491232 :       T2(5) = 2*TG2*T2(4) - T2(3)
    1426    245491232 :       T1(6) = 2*TG1*T1(5) - T1(4)
    1427    245491232 :       T2(6) = 2*TG2*T2(5) - T2(4)
    1428    245491232 :       T1(7) = 2*TG1*T1(6) - T1(5)
    1429    245491232 :       T2(7) = 2*TG2*T2(6) - T2(5)
    1430    245491232 :       T1(8) = 2*TG1*T1(7) - T1(6)
    1431    245491232 :       T2(8) = 2*TG2*T2(7) - T2(6)
    1432    245491232 :       T1(9) = 2*TG1*T1(8) - T1(7)
    1433    245491232 :       T2(9) = 2*TG2*T2(8) - T2(7)
    1434    245491232 :       T1(10) = 2*TG1*T1(9) - T1(8)
    1435    245491232 :       T2(10) = 2*TG2*T2(9) - T2(8)
    1436    245491232 :       T1(11) = 2*TG1*T1(10) - T1(9)
    1437    245491232 :       T2(11) = 2*TG2*T2(10) - T2(9)
    1438    245491232 :       T1(12) = 2*TG1*T1(11) - T1(10)
    1439    245491232 :       T2(12) = 2*TG2*T2(11) - T2(10)
    1440    245491232 :       T1(13) = 2*TG1*T1(12) - T1(11)
    1441    245491232 :       T2(13) = 2*TG2*T2(12) - T2(11)
    1442    852695279 :       DO K = 1, NDERIV + 1
    1443    607204047 :          RES(K) = 0.0_dp
    1444   9108060705 :          RES(K) = RES(K) + DOT_PRODUCT(T1(0:13), C0(1:14, K))*T2(0)
    1445   8500856658 :          RES(K) = RES(K) + DOT_PRODUCT(T1(0:12), C0(15:27, K))*T2(1)
    1446   7893652611 :          RES(K) = RES(K) + DOT_PRODUCT(T1(0:11), C0(28:39, K))*T2(2)
    1447   7286448564 :          RES(K) = RES(K) + DOT_PRODUCT(T1(0:10), C0(40:50, K))*T2(3)
    1448   6679244517 :          RES(K) = RES(K) + DOT_PRODUCT(T1(0:9), C0(51:60, K))*T2(4)
    1449   6072040470 :          RES(K) = RES(K) + DOT_PRODUCT(T1(0:8), C0(61:69, K))*T2(5)
    1450   5464836423 :          RES(K) = RES(K) + DOT_PRODUCT(T1(0:7), C0(70:77, K))*T2(6)
    1451   4857632376 :          RES(K) = RES(K) + DOT_PRODUCT(T1(0:6), C0(78:84, K))*T2(7)
    1452   4250428329 :          RES(K) = RES(K) + DOT_PRODUCT(T1(0:5), C0(85:90, K))*T2(8)
    1453   3643224282 :          RES(K) = RES(K) + DOT_PRODUCT(T1(0:4), C0(91:95, K))*T2(9)
    1454   3036020235 :          RES(K) = RES(K) + DOT_PRODUCT(T1(0:3), C0(96:99, K))*T2(10)
    1455   2428816188 :          RES(K) = RES(K) + DOT_PRODUCT(T1(0:2), C0(100:102, K))*T2(11)
    1456   1821612141 :          RES(K) = RES(K) + DOT_PRODUCT(T1(0:1), C0(103:104, K))*T2(12)
    1457   1459899326 :          RES(K) = RES(K) + DOT_PRODUCT(T1(0:0), C0(105:105, K))*T2(13)
    1458              :       END DO
    1459    245491232 :    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     10458706 :    FUNCTION get_lmax_init() RESULT(lmax_init)
    1468              : 
    1469              :       INTEGER                                            :: lmax_init
    1470              : 
    1471     10458706 :       lmax_init = nderiv_init
    1472              : 
    1473     10458706 :    END FUNCTION get_lmax_init
    1474              : 
    1475              : END MODULE t_c_g0
        

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