/FluidMechanics/TOOLS/MeshCreation/02_CreateCMInput/cheart_visbasis3D.f

http://github.com/xyan075/examples · FORTRAN Legacy · 362 lines · 295 code · 29 blank · 38 comment · 18 complexity · 61a7294af502c6696daa3a613be748e6 MD5 · raw file 

    

  1. SUBROUTINE LOAD_BASE_SET(AA)
    2. 

  2. !       Subprogram LOAD_BASE_SET - Written by David A. Nordsletten (C) 2008
    3. 

  3. !       DPhil Student, Comlab, University of Oxford 2006-2008
    4. 

  4. !       PhD Student, Bioengineering Institute, University of Auckland 2005-2006
    5. 

  5. !
    6. 

  6. !       This program reads in all input basis for base AA.
    7. 

  7. !
    8. 

  8.         USE CMGUI_VARS
    9. 

  9.         INTEGER I,STP,D,VFLD
    10. 

  10.         CHARACTER*60 IN_CHAR
    11. 

  11.         TYPE(ARRAY_PROBLEM_BASE) AA
    12. 

  12.         NIMZ = TRIM(NIMZ); AA%n_B = 0; AA%HEXA = 0; AA%DM = 3
    13. 

  13.         OPEN(UNIT=1,FILE=NIMZ,STATUS='old',action='read')	! Read base file for initial parameters
    14. 

  14.           DO WHILE (0 < 1)
    15. 

  15.               READ(1,*,END=50) IN_CHAR
    16. 

  16.               IF (INDEX(IN_CHAR,'no_fields!') == 1)         READ(1,*) AA%n_B
    17. 

  17.               IF (INDEX(IN_CHAR,'no_gauss!') == 1)          READ(1,*) AA%n_pts
    18. 

  18.               IF (INDEX(IN_CHAR,'volume!') == 1)            READ(1,*) AA%VL
    19. 

  19.               IF (INDEX(IN_CHAR,'no_gauss_f!') == 1)        READ(1,*) AA%n_pts_f
    20. 

  20.               IF (INDEX(IN_CHAR,'no_ele_faces!') == 1)      READ(1,*) AA%FACES
    21. 

  21.               IF (INDEX(IN_CHAR,'no_ele_nodes_f!') == 1)    READ(1,*) AA%FNODES
    22. 

  22.               IF (INDEX(IN_CHAR,'hexa_basis!') == 1)        AA%HEXA = 1
    23. 

  23.               IF (INDEX(IN_CHAR,'domain_dimension!') == 1)  READ(1,*) AA%DM
    24. 

  24.               IF (INDEX(IN_CHAR,'TRI_BASIS!') == 1)  AA%TRI_BASIS = 1
    25. 

  25.               IF (INDEX(IN_CHAR,'TET_BASIS!') == 1)  AA%TET_BASIS = 1
    26. 

  26.               IF (INDEX(IN_CHAR,'QUAD_BASIS!') == 1) AA%QUAD_BASIS = 1
    27. 

  27.               IF (INDEX(IN_CHAR,'HEX_BASIS!') == 1)  AA%HEX_BASIS = 1
    28. 

  28.             END DO
    29. 

  29.  50     CLOSE(1)
    30. 

  30.         IF (AA%n_B == 0) CALL ERRORZ(3); ALLOCATE(AA%B(AA%n_B))		! Allocate base size
    31. 

  31.         OPEN(UNIT=1,FILE=NIMZ,STATUS='old',action='read')		! Read call letters
    32. 

  32.           DO WHILE (0 < 1)
    33. 

  33.               READ(1,*,END=55) IN_CHAR
    34. 

  34.               IF (INDEX(IN_CHAR,'call_letters!') == 1)       READ(1,*) AA%B(1:AA%n_B)%CL
    35. 

  35.           END DO
    36. 

  36.  55     CLOSE(1)
    37. 

  37.         AA%B(1:AA%n_B)%DISCONT = 0
    38. 

  38.         AA%n_ptsl = AA%n_pts
    39. 

  39.         AA%n_pts_fl = AA%n_pts_f
    40. 

  40.         IF (AA%HEXA == 0) THEN			! If tensor input is indicated
    41. 

  41.            D = 3
    42. 

  42.            ALLOCATE(AA%gpt_f(AA%n_pts_f,D,AA%FACES),AA%gw_f(AA%n_pts_f))
    43. 

  43.            ALLOCATE(AA%gpt(AA%n_pts,D),AA%gw(AA%n_pts))
    44. 

  44.         ELSE					! If full input is indicated
    45. 

  45.            D = 1
    46. 

  46.            AA%n_pts_f = AA%n_pts**REAL(AA%DM-1); AA%n_pts = AA%n_pts**REAL(AA%DM)
    47. 

  47.            ALLOCATE(AA%gpt(AA%n_pts,3),AA%gw(AA%n_pts))
    48. 

  48.            ALLOCATE(AA%gpt_f(AA%n_pts_f,3,AA%FACES),AA%gw_f(AA%n_pts_f))
    49. 

  49.         END IF
    50. 

  50.         OPEN(UNIT=1,FILE=NIMZ,STATUS='old',action='read')	! Read quadrature rule
    51. 

  51.           DO WHILE (0 < 1)
    52. 

  52.               READ(1,*,END=65) IN_CHAR
    53. 

  53.               IF (INDEX(IN_CHAR,'surface_area!') == 1)  READ(1,*) AA%VL_f(1:AA%FACES)
    54. 

  54.               IF (INDEX(IN_CHAR,'gauss_points!') == 1) THEN
    55. 

  55.                  DO I = 1,AA%n_ptsl
    56. 

  56.                    READ(1,*) AA%gpt(I,1:D)
    57. 

  57.                  END DO
    58. 

  58.               ELSE IF (INDEX(IN_CHAR,'gauss_weights!') == 1) THEN
    59. 

  59.                  DO I = 1,AA%n_ptsl
    60. 

  60.                    READ(1,*) AA%gw(I)
    61. 

  61.                  END DO
    62. 

  62.               ELSE IF (INDEX(IN_CHAR,'gauss_points_f!') == 1) THEN
    63. 

  63.                 DO I = 1,AA%n_pts_fl
    64. 

  64.                   READ(1,*) AA%gpt_f(I,1:3,1)
    65. 

  65.                 END DO
    66. 

  66.               ELSE IF (INDEX(IN_CHAR,'gauss_weights_f!') == 1) THEN
    67. 

  67.                 DO I = 1,AA%n_pts_fl
    68. 

  68.                   READ(1,*) AA%gw_f(I)
    69. 

  69.                 END DO
    70. 

  70.               END IF
    71. 

  71.             END DO
    72. 

  72.  65     CLOSE(1)
    73. 

  73.         IF (AA%HEXA == 1) CALL BUILD_HEXA_QUADRATURE(AA)	! Build Tensor quadrature rule
    74. 

  74.         CALL BUILD_FACE_GPT_ARRAY(AA)				! Build facet quadrature rule
    75. 

  75.         DO VFLD = 1,AA%n_B		! Loop over number of basis
    76. 

  76.         IF (INDEX(AA%B(VFLD)%CL,'M') >= 1) AA%SPL = VFLD
    77. 

  77.         IF (INDEX(AA%B(VFLD)%CL,'V') >= 1) AA%VEL = VFLD
    78. 

  78.         IF (INDEX(AA%B(VFLD)%CL,'P') >= 1) AA%PRS = VFLD
    79. 

  79.         OPEN(UNIT=1,FILE=NIMZ,STATUS='old',action='read')	! Read dimensions of basis CL
    80. 

  80.           DO WHILE (0 < 1)
    81. 

  81.               READ(1,*,END=70) IN_CHAR
    82. 

  82.               IF (INDEX(IN_CHAR,'no_basis_'//TRIM(AA%B(VFLD)%CL)//'!') == 1) READ(1,*) AA%B(VFLD)%n
    83. 

  83.               IF (INDEX(IN_CHAR,'dim_field_'//TRIM(AA%B(VFLD)%CL)//'!') == 1) READ(1,*) AA%B(VFLD)%DM
    84. 

  84.             END DO
    85. 

  85.  70     CLOSE(1)
    86. 

  86.         AA%B(VFLD)%nl = AA%B(VFLD)%n
    87. 

  87.         IF (AA%HEXA == 0) THEN		! If tensor input is indicated
    88. 

  88.            D = 3
    89. 

  89.            ALLOCATE(AA%B(VFLD)%Q(AA%B(VFLD)%n,AA%B(VFLD)%n),AA%B(VFLD)%P(3,AA%B(VFLD)%n))
    90. 

  90.            ALLOCATE( AA%B(VFLD)%XI(AA%B(VFLD)%n,3) )
    91. 

  91.         ELSE				! If full input is indicated
    92. 

  92.            D = 1
    93. 

  93.            AA%B(VFLD)%n  = AA%B(VFLD)%n**REAL(AA%DM)
    94. 

  94.            ALLOCATE(AA%B(VFLD)%Q(AA%B(VFLD)%nl,AA%B(VFLD)%nl),AA%B(VFLD)%P(D,AA%B(VFLD)%nl))
    95. 

  95.            ALLOCATE( AA%B(VFLD)%B_ID(AA%B(VFLD)%n,3), AA%B(VFLD)%XI(AA%B(VFLD)%n,3) )
    96. 

  96.         END IF
    97. 

  97.         OPEN(UNIT=1,FILE=NIMZ,STATUS='old',action='read')		! Read in Basis
    98. 

  98.           DO WHILE (0 < 1)
    99. 

  99.               READ(1,*,END=80) IN_CHAR
    100. 

  100.               IF (INDEX(IN_CHAR,TRIM(AA%B(VFLD)%CL)//'_basis!') == 1) THEN
    101. 

  101.                  DO I = 1,AA%B(VFLD)%nl
    102. 

  102.                  READ(1,*) AA%B(VFLD)%Q(I,1:AA%B(VFLD)%nl)
    103. 

  103.                  END DO
    104. 

  104.               ELSE IF (INDEX(IN_CHAR,TRIM(AA%B(VFLD)%CL)//'_basis_discontinuous!') == 1) THEN
    105. 

  105.                  AA%B(VFLD)%DISCONT = 1
    106. 

  106.               ELSE IF (INDEX(IN_CHAR,TRIM(AA%B(VFLD)%CL)//'_xi_coordinates!') == 1) THEN
    107. 

  107.                  DO I = 1,AA%B(VFLD)%nl
    108. 

  108.                  READ(1,*) AA%B(VFLD)%XI(I,1:D)
    109. 

  109.                  END DO
    110. 

  110.               ELSE IF (INDEX(IN_CHAR,TRIM(AA%B(VFLD)%CL)//'_P_basis!') == 1) THEN
    111. 

  111.                  DO I = 1,D
    112. 

  112.                  READ(1,*) AA%B(VFLD)%P(I,1:AA%B(VFLD)%nl)
    113. 

  113.                  END DO
    114. 

  114.               ELSE IF (INDEX(IN_CHAR,'basis_ordering_'//TRIM(AA%B(VFLD)%CL)//'!') == 1) THEN
    115. 

  115.                 DO I = 1,AA%B(VFLD)%n
    116. 

  116.                   READ(1,*) AA%B(VFLD)%B_ID(I,1:3)
    117. 

  117.                 END DO
    118. 

  118.               END IF
    119. 

  119.             END DO
    120. 

  120.  80     CLOSE(1)
    121. 

  121.         IF (AA%HEXA == 1) CALL BUILD_HEXA_XI(AA,VFLD)		! Build tensor xi points
    122. 

  122.         CALL LOAD_INTEGRALS(AA,VFLD)				! Calculate basis integrals
    123. 

  123.         PRINT *, ' ==== >>>   BASIS FIELD  <<< ==== '
    124. 

  124.         PRINT *, '   CALL LETTER     :: ', AA%B(VFLD)%CL
    125. 

  125.         PRINT *, '   FIELD DIMENSION :: ', AA%B(VFLD)%DM
    126. 

  126.         PRINT *, '   DIM  (S ( Tm )) :: ', AA%B(VFLD)%n
    127. 

  127. 

  128.         END DO
    129. 

  129.         RETURN
    130. 

  130.  90     CALL ERRORZ(5)
    131. 

  131.       END SUBROUTINE LOAD_BASE_SET
    132. 

  132. 

  133. 

  134.       SUBROUTINE LOAD_INTEGRALS(AA,VFLD)
    135. 

  135. !       Subprogram LOAD_INTEGRALS - Written by David A. Nordsletten (C) 2008
    136. 

  136. !       DPhil Student, Comlab, University of Oxford 2006-2008
    137. 

  137. !       PhD Student, Bioengineering Institute, University of Auckland 2005-2006
    138. 

  138. !
    139. 

  139. !       This program loads integrals for base AA%B(VFLD).  The basis is evaluated a given quadrature points.
    140. 

  140. !
    141. 

  141.         USE CMGUI_VARS
    142. 

  142.         TYPE(ARRAY_PROBLEM_BASE) AA
    143. 

  143.         INTEGER I,J,K,x,y,z,ID,ORD1(3),VFLD,S
    144. 

  144.         DOUBLE PRECISION Ax(3),Bx,Cx(3),Dx
    145. 

  145.         ALLOCATE( AA%B(VFLD)%I%Y(AA%B(VFLD)%n,AA%n_pts) )
    146. 

  146.         ALLOCATE( AA%B(VFLD)%I%Y_f(AA%B(VFLD)%n,AA%n_pts_f,AA%FACES) )
    147. 

  147.         ALLOCATE( AA%B(VFLD)%I%dY(3,AA%B(VFLD)%n,AA%n_pts) )
    148. 

  148.         ALLOCATE( AA%B(VFLD)%I%TdY(3,AA%B(VFLD)%n,AA%n_pts) )
    149. 

  149.         ALLOCATE( AA%B(VFLD)%I%dY_f(3,AA%B(VFLD)%n,AA%n_pts_f,AA%FACES) )
    150. 

  150.         DO I = 1,AA%B(VFLD)%n		! Loop over basis
    151. 

  151.            ORD1(1:3) = 0
    152. 

  152.            DO J = 1,AA%n_pts		! Loop over quadrature points
    153. 

  153.               CALL POLY(AA,VFLD,I,AA%gpt(J,1:3),ORD1,AA%B(VFLD)%I%Y(I,J))	! Calculate basis
    154. 

  154.            END DO
    155. 

  155.            DO K = 1,3
    156. 

  156.              ORD1(1:3) = 0; ORD1(K) = 1
    157. 

  157.              DO J = 1,AA%n_pts		! Loop over quadrature points
    158. 

  158.                 CALL POLY(AA,VFLD,I,AA%gpt(J,1:3),ORD1,AA%B(VFLD)%I%dY(K,I,J))	! Calculate basis
    159. 

  159.              END DO
    160. 

  160.            END DO
    161. 

  161.         END DO
    162. 

  162.         DO S = 1,AA%FACES	! Loop over facets
    163. 

  163.           DO I = 1,AA%B(VFLD)%n		! Loop over basis
    164. 

  164.             ORD1(1:3) = 0
    165. 

  165.             DO J = 1,AA%n_pts_f			! Loop over facet quadrature points
    166. 

  166.               CALL POLY(AA,VFLD,I,AA%gpt_f(J,1:3,S),ORD1,AA%B(VFLD)%I%Y_f(I,J,S))	! Calculate basis
    167. 

  167.             END DO
    168. 

  168.             DO K = 1,3
    169. 

  169.               ORD1(1:3) = 0; ORD1(K) = 1
    170. 

  170.               DO J = 1,AA%n_pts_f		! Loop over quadrature points
    171. 

  171.                 CALL POLY(AA,VFLD,I,AA%gpt_f(J,1:3,S),ORD1,AA%B(VFLD)%I%dY_f(K,I,J,S))	! Calculate basis
    172. 

  172.               END DO
    173. 

  173.             END DO
    174. 

  174.           END DO
    175. 

  175.         END DO
    176. 

  176.       END SUBROUTINE LOAD_INTEGRALS
    177. 

  177. 

  178. 

  179.       SUBROUTINE BUILD_HEXA_XI(AA,VFLD)
    180. 

  180. !       Subprogram BUILD_HEXA_XI - Written by David A. Nordsletten (C) 2008
    181. 

  181. !       DPhil Student, Comlab, University of Oxford 2006-2008
    182. 

  182. !       PhD Student, Bioengineering Institute, University of Auckland 2005-2006
    183. 

  183. !
    184. 

  184. !       This routine builds the XI coordinate for the tensor basis AA%B(VFLD)
    185. 

  185. !
    186. 

  186.         USE CMGUI_VARS
    187. 

  187.         TYPE(ARRAY_PROBLEM_BASE) AA
    188. 

  188.         INTEGER I,J,K,S,m,n,G,VFLD
    189. 

  189.         DOUBLE PRECISION Bx(AA%B(VFLD)%nl)
    190. 

  190.         Bx(1:AA%B(VFLD)%nl) = AA%B(VFLD)%XI(1:AA%B(VFLD)%nl,1)
    191. 

  191.         DO I = 1,AA%B(VFLD)%n		! Loop over basis
    192. 

  192.            AA%B(VFLD)%XI(I,1:3) = Bx(AA%B(VFLD)%B_ID(I,1:3))	! calculate xi point
    193. 

  193.         END DO
    194. 

  194.       END SUBROUTINE BUILD_HEXA_XI
    195. 

  195. 

  196. 

  197.       SUBROUTINE BUILD_HEXA_QUADRATURE(AA)
    198. 

  198. !       Subprogram BUILD_HEXA_QUADRATURE - Written by David A. Nordsletten (C) 2008
    199. 

  199. !       DPhil Student, Comlab, University of Oxford 2006-2008
    200. 

  200. !       PhD Student, Bioengineering Institute, University of Auckland 2005-2006
    201. 

  201. !
    202. 

  202. !       This routine builds the volume/facet quadrature rule for the tensor basis AA
    203. 

  203. !
    204. 

  204.         USE CMGUI_VARS
    205. 

  205.         TYPE(ARRAY_PROBLEM_BASE) AA
    206. 

  206.         INTEGER I,J,K,S,m,n,G
    207. 

  207.         DOUBLE PRECISION Ax(AA%n_ptsl),Bx(AA%n_ptsl)
    208. 

  208.         Ax(1:AA%n_ptsl) = AA%gpt(1:AA%n_ptsl,1)
    209. 

  209.         Bx(1:AA%n_ptsl) = AA%gw(1:AA%n_ptsl)
    210. 

  210.         n = 0
    211. 

  211.         DO I = 1,AA%n_ptsl	! Loop over basis DIM 3
    212. 

  212.            IF ((AA%DM == 3).OR.(I == 1)) THEN	! If the dimension is 3 or I = 1
    213. 

  213.            DO J = 1,AA%n_ptsl	! Loop over basis DIM 2
    214. 

  214.               IF ((AA%DM >= 2).OR.(J == 1)) THEN	! If the dimension is > 2 or J = 1
    215. 

  215.               DO K = 1,AA%n_ptsl	! Loop over basis DIM 1
    216. 

  216.                  IF (AA%DM >= 1) THEN		! If the dimension is > 1 or J = 1
    217. 

  217.                    n = n + 1
    218. 

  218.                    AA%gpt(n,1:3) = 0; AA%gw(n) = 0	! Initialize volume quadrature rule, and build
    219. 

  219.                    IF (AA%DM >= 1) AA%gpt(n,1) = Ax(K)
    220. 

  220.                    IF (AA%DM >= 2) AA%gpt(n,2) = Ax(J)
    221. 

  221.                    IF (AA%DM >= 3) AA%gpt(n,3) = Ax(I)
    222. 

  222.                    IF (AA%DM == 1) AA%gw(n) = Bx(K)
    223. 

  223.                    IF (AA%DM == 2) AA%gw(n) = Bx(K)*Bx(J)
    224. 

  224.                    IF (AA%DM == 3) AA%gw(n) = Bx(K)*Bx(J)*Bx(I)
    225. 

  225.                  END IF
    226. 

  226.               END DO
    227. 

  227.               END IF
    228. 

  228.            END DO
    229. 

  229.            END IF
    230. 

  230.         END DO
    231. 

  231.         m = 0
    232. 

  232.         DO I = 1,AA%n_ptsl	! Loop over basis DIM 2
    233. 

  233.            IF ((AA%DM-1 == 2).OR.(I == 1)) THEN		! If the dimension is 2 or I = 1
    234. 

  234.            DO J = 1,AA%n_ptsl		! Loop over basis DIM 1
    235. 

  235.               IF ((AA%DM-1 >= 1).OR.(J == 1)) THEN	! If the dimension is > 1 or J = 1
    236. 

  236.                 m = m + 1
    237. 

  237.                 AA%gpt_f(m,1:3,1) = 0; AA%gw_f(m) = 0	! Initialize facet quadrature rule, and build
    238. 

  238.                 IF (AA%DM-1 >= 1) AA%gpt_f(m,1,1) = Ax(J)
    239. 

  239.                 IF (AA%DM-1 >= 2) AA%gpt_f(m,2,1) = Ax(I)
    240. 

  240.                 IF (AA%DM-1 == 1) AA%gw_f(m) = Bx(J)
    241. 

  241.                 IF (AA%DM-1 == 2) AA%gw_f(m) = Bx(J)*Bx(I)
    242. 

  242.               END IF
    243. 

  243.            END DO
    244. 

  244.            END IF
    245. 

  245.         END DO
    246. 

  246.         AA%VL_f(1:AA%FACES) = AA%VL**REAL(AA%DM-1)	! Initialize facet volume
    247. 

  247.         AA%VL = AA%VL**REAL(AA%DM)	! Initialize volume
    248. 

  248.       END SUBROUTINE BUILD_HEXA_QUADRATURE
    249. 

  249. 

  250. 

  251.       SUBROUTINE BUILD_FACE_GPT_ARRAY(AA)
    252. 

  252. !       Subprogram BUILD_FACE_GPT_ARRAY - Written by David A. Nordsletten (C) 2008
    253. 

  253. !       DPhil Student, Comlab, University of Oxford 2006-2008
    254. 

  254. !       PhD Student, Bioengineering Institute, University of Auckland 2005-2006
    255. 

  255. !
    256. 

  256. !       This routine builds facet quadrature (must be preceeded by a call to BUILD_HEXA_QUADRATURE,
    257. 

  257. !       if necessary).
    258. 

  258. !
    259. 

  259.         USE CMGUI_VARS
    260. 

  260.         TYPE(ARRAY_PROBLEM_BASE) AA
    261. 

  261.         INTEGER I,J,K
    262. 

  262.         DOUBLE PRECISION Ax(3),Bx,Cx(3),Dx
    263. 

  263.         AA%gpt_f(1:AA%n_pts_f,AA%DM:3,1) = 0_DPR	! Initialize first quadrature rule
    264. 

  264.         DO I = 1,AA%FACES
    265. 

  265.            AA%nrm(1:3,I) = 0_DPR			! Initialize normal vectors
    266. 

  266.         END DO
    267. 

  267.         IF (AA%DM == 3) THEN		! If in R^3
    268. 

  268.          IF (AA%FACES == 4) THEN	! master element is a tetrahedron, build appropriate facet quadrature
    269. 

  269.           AA%nrm(3,1) = -1_DPR
    270. 

  270. 

  271.           AA%gpt_f(1:AA%n_pts_f,1,2) = AA%gpt_f(1:AA%n_pts_f,1,1)
    272. 

  272.           AA%gpt_f(1:AA%n_pts_f,2,2) = 0_DPR
    273. 

  273.           AA%gpt_f(1:AA%n_pts_f,3,2) = AA%gpt_f(1:AA%n_pts_f,2,1)
    274. 

  274.           AA%nrm(2,2) = -1_DPR
    275. 

  275. 

  276. 

  277.           AA%gpt_f(1:AA%n_pts_f,1,3) = 0_DPR
    278. 

  278.           AA%gpt_f(1:AA%n_pts_f,2,3) = AA%gpt_f(1:AA%n_pts_f,1,1)
    279. 

  279.           AA%gpt_f(1:AA%n_pts_f,3,3) = AA%gpt_f(1:AA%n_pts_f,2,1)
    280. 

  280.           AA%nrm(1,3) = -1_DPR
    281. 

  281. 

  282.           DO I = 1,AA%n_pts_f
    283. 

  283.           AA%gpt_f(I,1,4) = 1_DPR-AA%gpt_f(I,1,1)-AA%gpt_f(I,2,1)
    284. 

  284.           END DO
    285. 

  285.           AA%gpt_f(1:AA%n_pts_f,2,4) = AA%gpt_f(1:AA%n_pts_f,1,1)
    286. 

  286.           AA%gpt_f(1:AA%n_pts_f,3,4) = AA%gpt_f(1:AA%n_pts_f,2,1)
    287. 

  287.           Ax(1) = 1_DPR
    288. 

  288.           Ax(2) = 3_DPR
    289. 

  289.           Ax(2) = Ax(2)**0.5
    290. 

  290.           AA%nrm(1:3,4) = Ax(1)/Ax(2)
    291. 

  291.          ELSE IF (AA%FACES == 6) THEN	! master element is a cube, build appropriate facet quadrature
    292. 

  292.           AA%nrm(3,1) = -1_DPR
    293. 

  293. 

  294.           AA%gpt_f(1:AA%n_pts_f,1,2) = AA%gpt_f(1:AA%n_pts_f,1,1)
    295. 

  295.           AA%gpt_f(1:AA%n_pts_f,2,2) = 0_DPR
    296. 

  296.           AA%gpt_f(1:AA%n_pts_f,3,2) = AA%gpt_f(1:AA%n_pts_f,2,1)
    297. 

  297.           AA%nrm(2,2) = -1_DPR
    298. 

  298. 

  299.           AA%gpt_f(1:AA%n_pts_f,1,3) = 0_DPR
    300. 

  300.           AA%gpt_f(1:AA%n_pts_f,2,3) = AA%gpt_f(1:AA%n_pts_f,1,1)
    301. 

  301.           AA%gpt_f(1:AA%n_pts_f,3,3) = AA%gpt_f(1:AA%n_pts_f,2,1)
    302. 

  302.           AA%nrm(1,3) = -1_DPR
    303. 

  303. 

  304.           AA%gpt_f(1:AA%n_pts_f,1,4) = 1_DPR
    305. 

  305.           AA%gpt_f(1:AA%n_pts_f,2,4) = AA%gpt_f(1:AA%n_pts_f,1,1)
    306. 

  306.           AA%gpt_f(1:AA%n_pts_f,3,4) = AA%gpt_f(1:AA%n_pts_f,2,1)
    307. 

  307.           AA%nrm(1,4) = 1_DPR
    308. 

  308. 

  309.           AA%gpt_f(1:AA%n_pts_f,1,5) = AA%gpt_f(1:AA%n_pts_f,1,1)
    310. 

  310.           AA%gpt_f(1:AA%n_pts_f,2,5) = 1_DPR
    311. 

  311.           AA%gpt_f(1:AA%n_pts_f,3,5) = AA%gpt_f(1:AA%n_pts_f,2,1)
    312. 

  312.           AA%nrm(2,5) = 1_DPR
    313. 

  313. 

  314.           AA%gpt_f(1:AA%n_pts_f,1,6) = AA%gpt_f(1:AA%n_pts_f,1,1)
    315. 

  315.           AA%gpt_f(1:AA%n_pts_f,2,6) = AA%gpt_f(1:AA%n_pts_f,2,1)
    316. 

  316.           AA%gpt_f(1:AA%n_pts_f,3,6) = 1_DPR
    317. 

  317.           AA%nrm(3,6) = 1_DPR
    318. 

  318.          END IF
    319. 

  319.         ELSE IF (AA%DM == 2) THEN	! If in R^2
    320. 

  320.          IF (AA%FACES == 3) THEN	! master element is a triangle, build appropriate facet quadrature
    321. 

  321.           AA%nrm(2,1) = -1_DPR
    322. 

  322. 

  323.           AA%gpt_f(1:AA%n_pts_f,1,2) = 0_DPR
    324. 

  324.           AA%gpt_f(1:AA%n_pts_f,2,2) = AA%gpt_f(1:AA%n_pts_f,1,1)
    325. 

  325.           AA%gpt_f(1:AA%n_pts_f,3,2) = 0_DPR
    326. 

  326.           AA%nrm(1,2) = -1_DPR
    327. 

  327. 

  328.           DO I = 1,AA%n_pts_f
    329. 

  329.           AA%gpt_f(I,1,3) = 1_DPR-AA%gpt_f(I,1,1)
    330. 

  330.           END DO
    331. 

  331.           AA%gpt_f(1:AA%n_pts_f,2,3) = AA%gpt_f(1:AA%n_pts_f,1,1)
    332. 

  332.           AA%gpt_f(1:AA%n_pts_f,3,3) = 0_DPR
    333. 

  333.           Ax(1) = 1_DPR
    334. 

  334.           Ax(2) = 2_DPR
    335. 

  335.           Ax(2) = Ax(2)**0.5
    336. 

  336.           AA%nrm(1:2,3) = Ax(1)/Ax(2); AA%nrm(3,3) = 0_DPR
    337. 

  337.          ELSE IF (AA%FACES == 4) THEN	! master element is a square, build appropriate facet quadrature
    338. 

  338.           AA%nrm(2,1) = -1_DPR
    339. 

  339. 

  340.           AA%gpt_f(1:AA%n_pts_f,1,2) = AA%gpt_f(1:AA%n_pts_f,1,1)
    341. 

  341.           AA%gpt_f(1:AA%n_pts_f,2,2) = 0_DPR
    342. 

  342.           AA%gpt_f(1:AA%n_pts_f,3,2) = 0_DPR
    343. 

  343.           AA%nrm(1,2) = -1_DPR
    344. 

  344. 

  345.           AA%gpt_f(1:AA%n_pts_f,1,3) = AA%gpt_f(1:AA%n_pts_f,1,1)
    346. 

  346.           AA%gpt_f(1:AA%n_pts_f,2,3) = 1_DPR
    347. 

  347.           AA%gpt_f(1:AA%n_pts_f,3,3) = 0_DPR
    348. 

  348.           AA%nrm(2,3) = 1_DPR
    349. 

  349. 

  350.           AA%gpt_f(1:AA%n_pts_f,1,4) = 1_DPR
    351. 

  351.           AA%gpt_f(1:AA%n_pts_f,2,4) = AA%gpt_f(1:AA%n_pts_f,1,1)
    352. 

  352.           AA%gpt_f(1:AA%n_pts_f,3,4) = 0_DPR
    353. 

  353.           AA%nrm(1,4) = 1_DPR
    354. 

  354.          END IF
    355. 

  355.         END IF
    356. 

  356.       END SUBROUTINE BUILD_FACE_GPT_ARRAY
    357.