let the computer do the counting
This commit is contained in:
Martin Diehl
parent
c56979e2ad
commit
5a04a1d661
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@ -9,7 +9,7 @@ module FEM_quadrature
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private
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integer, parameter :: &
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maxOrder = 5 !< current max interpolation set at cubic (intended to be arbitrary)
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maxOrder = 5 !< maximum integration order
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real(pReal), dimension(2,3), parameter :: &
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triangle = reshape([-1.0_pReal, -1.0_pReal, &
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1.0_pReal, -1.0_pReal, &
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@ -21,7 +21,7 @@ module FEM_quadrature
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-1.0_pReal, -1.0_pReal, 1.0_pReal], shape=[3,4])
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type :: group_float !< variable length datatype used for storage of state
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real(pReal), dimension(:), pointer :: p
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real(pReal), dimension(:), allocatable :: p
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end type group_float
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integer, dimension(2:3,maxOrder), public, protected :: &
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@ -53,8 +53,7 @@ subroutine FEM_quadrature_init()
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allocate(FEM_quadrature_weights(2,1)%p(FEM_nQuadrature(2,1)))
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FEM_quadrature_weights(2,1)%p(1) = 1._pReal
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allocate(FEM_quadrature_points (2,1)%p(2))
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FEM_quadrature_points (2,1)%p(1:2) = permutationStar3([1._pReal/3._pReal])
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FEM_quadrature_points (2,1)%p = permutationStar3([1._pReal/3._pReal])
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!--------------------------------------------------------------------------------------------------
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! 2D quadratic
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@ -63,8 +62,7 @@ subroutine FEM_quadrature_init()
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allocate(FEM_quadrature_weights(2,2)%p(FEM_nQuadrature(2,2)))
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FEM_quadrature_weights(2,2)%p(1:3) = 1._pReal/3._pReal
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allocate(FEM_quadrature_points (2,2)%p(6))
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FEM_quadrature_points (2,2)%p(1:6) = permutationStar21([1._pReal/6._pReal])
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FEM_quadrature_points (2,2)%p = permutationStar21([1._pReal/6._pReal])
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!--------------------------------------------------------------------------------------------------
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! 2D cubic
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@ -74,9 +72,9 @@ subroutine FEM_quadrature_init()
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FEM_quadrature_weights(2,3)%p(1:3) = 2.2338158967801147e-1_pReal
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FEM_quadrature_weights(2,3)%p(4:6) = 1.0995174365532187e-1_pReal
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allocate(FEM_quadrature_points (2,3)%p(12))
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FEM_quadrature_points (2,3)%p(1:6) = permutationStar21([4.4594849091596489e-1_pReal])
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FEM_quadrature_points (2,3)%p(7:12)= permutationStar21([9.157621350977074e-2_pReal])
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FEM_quadrature_points (2,3)%p = [ &
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permutationStar21([4.4594849091596489e-1_pReal]), &
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permutationStar21([9.157621350977074e-2_pReal]) ]
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!--------------------------------------------------------------------------------------------------
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! 2D quartic
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@ -87,10 +85,10 @@ subroutine FEM_quadrature_init()
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FEM_quadrature_weights(2,4)%p(4:6) = 5.0844906370206817e-2_pReal
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FEM_quadrature_weights(2,4)%p(7:12) = 8.285107561837358e-2_pReal
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allocate(FEM_quadrature_points (2,4)%p(24))
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FEM_quadrature_points (2,4)%p(1:6) = permutationStar21([2.4928674517091042e-1_pReal])
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FEM_quadrature_points (2,4)%p(7:12) = permutationStar21([6.308901449150223e-2_pReal])
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FEM_quadrature_points (2,4)%p(13:24)= permutationStar111([3.1035245103378440e-1_pReal, 5.3145049844816947e-2_pReal])
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FEM_quadrature_points (2,4)%p = [ &
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permutationStar21([2.4928674517091042e-1_pReal]), &
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permutationStar21([6.308901449150223e-2_pReal]), &
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permutationStar111([3.1035245103378440e-1_pReal, 5.3145049844816947e-2_pReal]) ]
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!--------------------------------------------------------------------------------------------------
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! 2D quintic
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@ -103,12 +101,12 @@ subroutine FEM_quadrature_init()
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FEM_quadrature_weights(2,5)%p(8:10) = 3.2458497623198080e-2_pReal
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FEM_quadrature_weights(2,5)%p(11:16)= 2.7230314174434994e-2_pReal
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allocate(FEM_quadrature_points (2,5)%p(32))
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FEM_quadrature_points (2,5)%p(1:2) = permutationStar3([1._pReal/3._pReal])
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FEM_quadrature_points (2,5)%p(3:8) = permutationStar21([4.5929258829272316e-1_pReal])
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FEM_quadrature_points (2,5)%p(9:14) = permutationStar21([1.705693077517602e-1_pReal])
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FEM_quadrature_points (2,5)%p(15:20)= permutationStar21([5.0547228317030975e-2_pReal])
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FEM_quadrature_points (2,5)%p(21:32)= permutationStar111([2.631128296346381e-1_pReal, 8.3947774099576053e-2_pReal])
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FEM_quadrature_points (2,5)%p = [ &
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permutationStar3([1._pReal/3._pReal]), &
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permutationStar21([4.5929258829272316e-1_pReal]), &
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permutationStar21([1.705693077517602e-1_pReal]), &
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permutationStar21([5.0547228317030975e-2_pReal]), &
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permutationStar111([2.631128296346381e-1_pReal, 8.3947774099576053e-2_pReal]) ]
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!--------------------------------------------------------------------------------------------------
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! 3D linear
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@ -117,8 +115,7 @@ subroutine FEM_quadrature_init()
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allocate(FEM_quadrature_weights(3,1)%p(FEM_nQuadrature(3,1)))
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FEM_quadrature_weights(3,1)%p(1) = 1.0_pReal
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allocate(FEM_quadrature_points (3,1)%p(3))
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FEM_quadrature_points (3,1)%p(1:3)= permutationStar4([0.25_pReal])
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FEM_quadrature_points (3,1)%p = permutationStar4([0.25_pReal])
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!--------------------------------------------------------------------------------------------------
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! 3D quadratic
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@ -127,22 +124,21 @@ subroutine FEM_quadrature_init()
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allocate(FEM_quadrature_weights(3,2)%p(FEM_nQuadrature(3,2)))
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FEM_quadrature_weights(3,2)%p(1:4) = 0.25_pReal
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allocate(FEM_quadrature_points (3,2)%p(12))
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FEM_quadrature_points (3,2)%p(1:12)= permutationStar31([0.1381966011250105_pReal])
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FEM_quadrature_points (3,2)%p = permutationStar31([0.1381966011250105_pReal])
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!--------------------------------------------------------------------------------------------------
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! 3D cubic
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FEM_nQuadrature(3,3) = 14
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allocate(FEM_quadrature_weights(3,3)%p(FEM_nQuadrature(3,3)))
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FEM_quadrature_weights(3,3)%p(5:8) = 1.1268792571801585e-1_pReal
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FEM_quadrature_weights(3,3)%p(1:4) = 7.3493043116361949e-2_pReal
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FEM_quadrature_weights(3,3)%p(5:8) = 1.1268792571801585e-1_pReal
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FEM_quadrature_weights(3,3)%p(9:14) = 4.2546020777081467e-2_pReal
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allocate(FEM_quadrature_points (3,3)%p(42))
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FEM_quadrature_points (3,3)%p(1:12) = permutationStar31([9.273525031089123e-2_pReal])
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FEM_quadrature_points (3,3)%p(13:24)= permutationStar31([3.108859192633006e-1_pReal])
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FEM_quadrature_points (3,3)%p(25:42)= permutationStar22([4.5503704125649649e-2_pReal])
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FEM_quadrature_points (3,3)%p = [ &
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permutationStar31([9.273525031089123e-2_pReal]), &
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permutationStar31([3.108859192633006e-1_pReal]), &
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permutationStar22([4.5503704125649649e-2_pReal]) ]
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!--------------------------------------------------------------------------------------------------
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! 3D quartic
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@ -155,12 +151,12 @@ subroutine FEM_quadrature_init()
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FEM_quadrature_weights(3,4)%p(23:34) = 0.0479839333057554_pReal
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FEM_quadrature_weights(3,4)%p(35) = 0.0931745731195340_pReal
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allocate(FEM_quadrature_points (3,4)%p(105))
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FEM_quadrature_points (3,4)%p(1:12) = permutationStar31([0.0267367755543735_pReal])
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FEM_quadrature_points (3,4)%p(13:48) = permutationStar211([0.0391022406356488_pReal, 0.7477598884818090_pReal])
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FEM_quadrature_points (3,4)%p(49:66) = permutationStar22([0.4547545999844830_pReal])
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FEM_quadrature_points (3,4)%p(67:102) = permutationStar211([0.2232010379623150_pReal, 0.0504792790607720_pReal])
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FEM_quadrature_points (3,4)%p(103:105)= permutationStar4([0.25_pReal])
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FEM_quadrature_points (3,4)%p = [ &
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permutationStar31([0.0267367755543735_pReal]), &
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permutationStar211([0.0391022406356488_pReal, 0.7477598884818090_pReal]), &
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permutationStar22([0.4547545999844830_pReal]), &
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permutationStar211([0.2232010379623150_pReal, 0.0504792790607720_pReal]), &
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permutationStar4([0.25_pReal]) ]
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!--------------------------------------------------------------------------------------------------
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! 3D quintic
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@ -174,13 +170,13 @@ subroutine FEM_quadrature_init()
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FEM_quadrature_weights(3,5)%p(41:52) = 0.0293520118375230_pReal
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FEM_quadrature_weights(3,5)%p(53:56) = 0.0366291366405108_pReal
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allocate(FEM_quadrature_points (3,5)%p(168))
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FEM_quadrature_points (3,5)%p(1:12) = permutationStar31([0.0149520651530592_pReal])
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FEM_quadrature_points (3,5)%p(13:48) = permutationStar211([0.0340960211962615_pReal, 0.1518319491659370_pReal])
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FEM_quadrature_points (3,5)%p(49:84) = permutationStar211([0.0462051504150017_pReal, 0.3549340560639790_pReal])
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FEM_quadrature_points (3,5)%p(85:120) = permutationStar211([0.2281904610687610_pReal, 0.0055147549744775_pReal])
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FEM_quadrature_points (3,5)%p(121:156)= permutationStar211([0.3523052600879940_pReal, 0.0992057202494530_pReal])
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FEM_quadrature_points (3,5)%p(157:168)= permutationStar31([0.1344783347929940_pReal])
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FEM_quadrature_points (3,5)%p = [ &
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permutationStar31([0.0149520651530592_pReal]), &
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permutationStar211([0.0340960211962615_pReal, 0.1518319491659370_pReal]), &
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permutationStar211([0.0462051504150017_pReal, 0.3549340560639790_pReal]), &
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permutationStar211([0.2281904610687610_pReal, 0.0055147549744775_pReal]), &
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permutationStar211([0.3523052600879940_pReal, 0.0992057202494530_pReal]), &
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permutationStar31([0.1344783347929940_pReal]) ]
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call selfTest
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