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let the computer count

This commit is contained in:
Martin Diehl 2021-07-21 20:35:42 +02:00
parent 23077fd58c
commit b817c620a3
1 changed files with 82 additions and 65 deletions
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147
src/mesh/FEM_quadrature.f90
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@ -51,7 +51,7 @@ subroutine FEM_quadrature_init()
FEM_nQuadrature(2,1) = 1 FEM_nQuadrature(2,1) = 1
allocate(FEM_quadrature_weights(2,1)%p(FEM_nQuadrature(2,1))) allocate(FEM_quadrature_weights(2,1)%p(FEM_nQuadrature(2,1)))
FEM_quadrature_weights(2,1)%p(1) = 1._pReal FEM_quadrature_weights(2,1)%p(1) = 1._pReal
FEM_quadrature_points (2,1)%p = permutationStar3([1._pReal/3._pReal]) FEM_quadrature_points (2,1)%p = permutationStar3([1._pReal/3._pReal])
@ -95,11 +95,11 @@ subroutine FEM_quadrature_init()
FEM_nQuadrature(2,5) = 16 FEM_nQuadrature(2,5) = 16
allocate(FEM_quadrature_weights(2,5)%p(FEM_nQuadrature(2,5))) allocate(FEM_quadrature_weights(2,5)%p(FEM_nQuadrature(2,5)))
FEM_quadrature_weights(2,5)%p(1 ) = 1.4431560767778717e-1_pReal FEM_quadrature_weights(2,5)%p(1:1) = 1.4431560767778717e-1_pReal
FEM_quadrature_weights(2,5)%p(2:4) = 9.509163426728463e-2_pReal FEM_quadrature_weights(2,5)%p(2:4) = 9.509163426728463e-2_pReal
FEM_quadrature_weights(2,5)%p(5:7) = 1.0321737053471825e-1_pReal FEM_quadrature_weights(2,5)%p(5:7) = 1.0321737053471825e-1_pReal
FEM_quadrature_weights(2,5)%p(8:10) = 3.2458497623198080e-2_pReal FEM_quadrature_weights(2,5)%p(8:10) = 3.2458497623198080e-2_pReal
FEM_quadrature_weights(2,5)%p(11:16)= 2.7230314174434994e-2_pReal FEM_quadrature_weights(2,5)%p(11:16) = 2.7230314174434994e-2_pReal
FEM_quadrature_points (2,5)%p = [ & FEM_quadrature_points (2,5)%p = [ &
permutationStar3([1._pReal/3._pReal]), & permutationStar3([1._pReal/3._pReal]), &
@ -193,7 +193,9 @@ pure function permutationStar3(point) result(qPt)
real(pReal), dimension(3,1) :: temp real(pReal), dimension(3,1) :: temp
temp(:,1) = [point(1), point(1), point(1)]
temp = reshape([ &
point(1), point(1), point(1)],shape(temp))
qPt = reshape(matmul(triangle, temp),[2]) qPt = reshape(matmul(triangle, temp),[2])
@ -210,9 +212,11 @@ pure function permutationStar21(point) result(qPt)
real(pReal), dimension(3,3) :: temp real(pReal), dimension(3,3) :: temp
temp(:,1) = [point(1), point(1), 1.0_pReal - 2.0_pReal*point(1)]
temp(:,2) = [point(1), 1.0_pReal - 2.0_pReal*point(1), point(1)] temp = reshape([ &
temp(:,3) = [1.0_pReal - 2.0_pReal*point(1), point(1), point(1)] point(1), point(1), 1.0_pReal - 2.0_pReal*point(1), &
point(1), 1.0_pReal - 2.0_pReal*point(1), point(1), &
1.0_pReal - 2.0_pReal*point(1), point(1), point(1)],shape(temp))
qPt = reshape(matmul(triangle, temp),[6]) qPt = reshape(matmul(triangle, temp),[6])
@ -229,12 +233,14 @@ pure function permutationStar111(point) result(qPt)
real(pReal), dimension(3,6) :: temp real(pReal), dimension(3,6) :: temp
temp(:,1) = [point(1), point(2), 1.0_pReal - point(1) - point(2)]
temp(:,2) = [point(1), 1.0_pReal - point(1) - point(2), point(2)] temp = reshape([ &
temp(:,3) = [point(2), point(1), 1.0_pReal - point(1) - point(2)] point(1), point(2), 1.0_pReal - point(1) - point(2), &
temp(:,4) = [point(2), 1.0_pReal - point(1) - point(2), point(1)] point(1), 1.0_pReal - point(1) - point(2), point(2), &
temp(:,5) = [1.0_pReal - point(1) - point(2), point(2), point(1)] point(2), point(1), 1.0_pReal - point(1) - point(2), &
temp(:,6) = [1.0_pReal - point(1) - point(2), point(1), point(2)] point(2), 1.0_pReal - point(1) - point(2), point(1), &
1.0_pReal - point(1) - point(2), point(2), point(1), &
1.0_pReal - point(1) - point(2), point(1), point(2)],shape(temp))
qPt = reshape(matmul(triangle, temp),[12]) qPt = reshape(matmul(triangle, temp),[12])
@ -251,7 +257,9 @@ pure function permutationStar4(point) result(qPt)
real(pReal), dimension(4,1) :: temp real(pReal), dimension(4,1) :: temp
temp(:,1) = [point(1), point(1), point(1), point(1)]
temp = reshape([ &
point(1), point(1), point(1), point(1)],shape(temp))
qPt = reshape(matmul(tetrahedron, temp),[3]) qPt = reshape(matmul(tetrahedron, temp),[3])
@ -268,10 +276,12 @@ pure function permutationStar31(point) result(qPt)
real(pReal), dimension(4,4) :: temp real(pReal), dimension(4,4) :: temp
temp(:,1) = [point(1), point(1), point(1), 1.0_pReal - 3.0_pReal*point(1)]
temp(:,2) = [point(1), point(1), 1.0_pReal - 3.0_pReal*point(1), point(1)] temp = reshape([ &
temp(:,3) = [point(1), 1.0_pReal - 3.0_pReal*point(1), point(1), point(1)] point(1), point(1), point(1), 1.0_pReal - 3.0_pReal*point(1), &
temp(:,4) = [1.0_pReal - 3.0_pReal*point(1), point(1), point(1), point(1)] point(1), point(1), 1.0_pReal - 3.0_pReal*point(1), point(1), &
point(1), 1.0_pReal - 3.0_pReal*point(1), point(1), point(1), &
1.0_pReal - 3.0_pReal*point(1), point(1), point(1), point(1)],shape(temp))
qPt = reshape(matmul(tetrahedron, temp),[12]) qPt = reshape(matmul(tetrahedron, temp),[12])
@ -281,19 +291,21 @@ end function permutationStar31
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
!> @brief star 22 permutation of input !> @brief star 22 permutation of input
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
pure function permutationStar22(point) result(qPt) function permutationStar22(point) result(qPt)
real(pReal), dimension(18) :: qPt real(pReal), dimension(18) :: qPt
real(pReal), dimension(1), intent(in) :: point real(pReal), dimension(1), intent(in) :: point
real(pReal), dimension(4,6) :: temp real(pReal), dimension(4,6) :: temp
temp(:,1) = [point(1), point(1), 0.5_pReal - point(1), 0.5_pReal - point(1)]
temp(:,2) = [point(1), 0.5_pReal - point(1), point(1), 0.5_pReal - point(1)] temp = reshape([ &
temp(:,3) = [0.5_pReal - point(1), point(1), point(1), 0.5_pReal - point(1)] point(1), point(1), 0.5_pReal - point(1), 0.5_pReal - point(1), &
temp(:,4) = [0.5_pReal - point(1), point(1), 0.5_pReal - point(1), point(1)] point(1), 0.5_pReal - point(1), point(1), 0.5_pReal - point(1), &
temp(:,5) = [0.5_pReal - point(1), 0.5_pReal - point(1), point(1), point(1)] 0.5_pReal - point(1), point(1), point(1), 0.5_pReal - point(1), &
temp(:,6) = [point(1), 0.5_pReal - point(1), 0.5_pReal - point(1), point(1)] 0.5_pReal - point(1), point(1), 0.5_pReal - point(1), point(1), &
0.5_pReal - point(1), 0.5_pReal - point(1), point(1), point(1), &
point(1), 0.5_pReal - point(1), 0.5_pReal - point(1), point(1)],shape(temp))
qPt = reshape(matmul(tetrahedron, temp),[18]) qPt = reshape(matmul(tetrahedron, temp),[18])
@ -310,18 +322,20 @@ pure function permutationStar211(point) result(qPt)
real(pReal), dimension(4,12) :: temp real(pReal), dimension(4,12) :: temp
temp(:,1 ) = [point(1), point(1), point(2), 1.0_pReal - 2.0_pReal*point(1) - point(2)]
temp(:,2 ) = [point(1), point(1), 1.0_pReal - 2.0_pReal*point(1) - point(2), point(2)] temp = reshape([ &
temp(:,3 ) = [point(1), point(2), point(1), 1.0_pReal - 2.0_pReal*point(1) - point(2)] point(1), point(1), point(2), 1.0_pReal - 2.0_pReal*point(1) - point(2), &
temp(:,4 ) = [point(1), point(2), 1.0_pReal - 2.0_pReal*point(1) - point(2), point(1)] point(1), point(1), 1.0_pReal - 2.0_pReal*point(1) - point(2), point(2), &
temp(:,5 ) = [point(1), 1.0_pReal - 2.0_pReal*point(1) - point(2), point(1), point(2)] point(1), point(2), point(1), 1.0_pReal - 2.0_pReal*point(1) - point(2), &
temp(:,6 ) = [point(1), 1.0_pReal - 2.0_pReal*point(1) - point(2), point(2), point(1)] point(1), point(2), 1.0_pReal - 2.0_pReal*point(1) - point(2), point(1), &
temp(:,7 ) = [point(2), point(1), point(1), 1.0_pReal - 2.0_pReal*point(1) - point(2)] point(1), 1.0_pReal - 2.0_pReal*point(1) - point(2), point(1), point(2), &
temp(:,8 ) = [point(2), point(1), 1.0_pReal - 2.0_pReal*point(1) - point(2), point(1)] point(1), 1.0_pReal - 2.0_pReal*point(1) - point(2), point(2), point(1), &
temp(:,9 ) = [point(2), 1.0_pReal - 2.0_pReal*point(1) - point(2), point(1), point(1)] point(2), point(1), point(1), 1.0_pReal - 2.0_pReal*point(1) - point(2), &
temp(:,10) = [1.0_pReal - 2.0_pReal*point(1) - point(2), point(1), point(1), point(2)] point(2), point(1), 1.0_pReal - 2.0_pReal*point(1) - point(2), point(1), &
temp(:,11) = [1.0_pReal - 2.0_pReal*point(1) - point(2), point(1), point(2), point(1)] point(2), 1.0_pReal - 2.0_pReal*point(1) - point(2), point(1), point(1), &
temp(:,12) = [1.0_pReal - 2.0_pReal*point(1) - point(2), point(2), point(1), point(1)] 1.0_pReal - 2.0_pReal*point(1) - point(2), point(1), point(1), point(2), &
1.0_pReal - 2.0_pReal*point(1) - point(2), point(1), point(2), point(1), &
1.0_pReal - 2.0_pReal*point(1) - point(2), point(2), point(1), point(1)],shape(temp))
qPt = reshape(matmul(tetrahedron, temp),[36]) qPt = reshape(matmul(tetrahedron, temp),[36])
@ -338,30 +352,32 @@ pure function permutationStar1111(point) result(qPt)
real(pReal), dimension(4,24) :: temp real(pReal), dimension(4,24) :: temp
temp(:,1 ) = [point(1), point(2), point(3), 1.0_pReal - point(1) - point(2)- point(3)]
temp(:,2 ) = [point(1), point(2), 1.0_pReal - point(1) - point(2)- point(3), point(3)] temp = reshape([ &
temp(:,3 ) = [point(1), point(3), point(2), 1.0_pReal - point(1) - point(2)- point(3)] point(1), point(2), point(3), 1.0_pReal - point(1) - point(2)- point(3), &
temp(:,4 ) = [point(1), point(3), 1.0_pReal - point(1) - point(2)- point(3), point(2)] point(1), point(2), 1.0_pReal - point(1) - point(2)- point(3), point(3), &
temp(:,5 ) = [point(1), 1.0_pReal - point(1) - point(2)- point(3), point(2), point(3)] point(1), point(3), point(2), 1.0_pReal - point(1) - point(2)- point(3), &
temp(:,6 ) = [point(1), 1.0_pReal - point(1) - point(2)- point(3), point(3), point(2)] point(1), point(3), 1.0_pReal - point(1) - point(2)- point(3), point(2), &
temp(:,7 ) = [point(2), point(1), point(3), 1.0_pReal - point(1) - point(2)- point(3)] point(1), 1.0_pReal - point(1) - point(2)- point(3), point(2), point(3), &
temp(:,8 ) = [point(2), point(1), 1.0_pReal - point(1) - point(2)- point(3), point(3)] point(1), 1.0_pReal - point(1) - point(2)- point(3), point(3), point(2), &
temp(:,9 ) = [point(2), point(3), point(1), 1.0_pReal - point(1) - point(2)- point(3)] point(2), point(1), point(3), 1.0_pReal - point(1) - point(2)- point(3), &
temp(:,10) = [point(2), point(3), 1.0_pReal - point(1) - point(2)- point(3), point(1)] point(2), point(1), 1.0_pReal - point(1) - point(2)- point(3), point(3), &
temp(:,11) = [point(2), 1.0_pReal - point(1) - point(2)- point(3), point(1), point(3)] point(2), point(3), point(1), 1.0_pReal - point(1) - point(2)- point(3), &
temp(:,12) = [point(2), 1.0_pReal - point(1) - point(2)- point(3), point(3), point(1)] point(2), point(3), 1.0_pReal - point(1) - point(2)- point(3), point(1), &
temp(:,13) = [point(3), point(1), point(2), 1.0_pReal - point(1) - point(2)- point(3)] point(2), 1.0_pReal - point(1) - point(2)- point(3), point(1), point(3), &
temp(:,14) = [point(3), point(1), 1.0_pReal - point(1) - point(2)- point(3), point(2)] point(2), 1.0_pReal - point(1) - point(2)- point(3), point(3), point(1), &
temp(:,15) = [point(3), point(2), point(1), 1.0_pReal - point(1) - point(2)- point(3)] point(3), point(1), point(2), 1.0_pReal - point(1) - point(2)- point(3), &
temp(:,16) = [point(3), point(2), 1.0_pReal - point(1) - point(2)- point(3), point(1)] point(3), point(1), 1.0_pReal - point(1) - point(2)- point(3), point(2), &
temp(:,17) = [point(3), 1.0_pReal - point(1) - point(2)- point(3), point(1), point(2)] point(3), point(2), point(1), 1.0_pReal - point(1) - point(2)- point(3), &
temp(:,18) = [point(3), 1.0_pReal - point(1) - point(2)- point(3), point(2), point(1)] point(3), point(2), 1.0_pReal - point(1) - point(2)- point(3), point(1), &
temp(:,19) = [1.0_pReal - point(1) - point(2)- point(3), point(1), point(2), point(3)] point(3), 1.0_pReal - point(1) - point(2)- point(3), point(1), point(2), &
temp(:,20) = [1.0_pReal - point(1) - point(2)- point(3), point(1), point(3), point(2)] point(3), 1.0_pReal - point(1) - point(2)- point(3), point(2), point(1), &
temp(:,21) = [1.0_pReal - point(1) - point(2)- point(3), point(2), point(1), point(3)] 1.0_pReal - point(1) - point(2)- point(3), point(1), point(2), point(3), &
temp(:,22) = [1.0_pReal - point(1) - point(2)- point(3), point(2), point(3), point(1)] 1.0_pReal - point(1) - point(2)- point(3), point(1), point(3), point(2), &
temp(:,23) = [1.0_pReal - point(1) - point(2)- point(3), point(3), point(1), point(2)] 1.0_pReal - point(1) - point(2)- point(3), point(2), point(1), point(3), &
temp(:,24) = [1.0_pReal - point(1) - point(2)- point(3), point(3), point(2), point(1)] 1.0_pReal - point(1) - point(2)- point(3), point(2), point(3), point(1), &
1.0_pReal - point(1) - point(2)- point(3), point(3), point(1), point(2), &
1.0_pReal - point(1) - point(2)- point(3), point(3), point(2), point(1)],shape(temp))
qPt = reshape(matmul(tetrahedron, temp),[72]) qPt = reshape(matmul(tetrahedron, temp),[72])
@ -369,13 +385,14 @@ end function permutationStar1111
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
!> @brief Check correctness of quadrature weights. !> @brief Check correctness of quadrature weights and points.
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
subroutine selfTest subroutine selfTest
integer :: o, d, n integer :: o, d, n
real(pReal), dimension(2:3), parameter :: w = [3.0_pReal,2.0_pReal] real(pReal), dimension(2:3), parameter :: w = [3.0_pReal,2.0_pReal]
do d = lbound(FEM_quadrature_weights,1), ubound(FEM_quadrature_weights,1) do d = lbound(FEM_quadrature_weights,1), ubound(FEM_quadrature_weights,1)
do o = lbound(FEM_quadrature_weights(d,:),1), ubound(FEM_quadrature_weights(d,:),1) do o = lbound(FEM_quadrature_weights(d,:),1), ubound(FEM_quadrature_weights(d,:),1)
if (dNeq(sum(FEM_quadrature_weights(d,o)%p),1.0_pReal,5e-15_pReal)) & if (dNeq(sum(FEM_quadrature_weights(d,o)%p),1.0_pReal,5e-15_pReal)) &