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geometry_transformation.f90
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module geometry_transformation
use precision, only: dp
use input, only: level_py, partition, cellsize_py_cube
use array, only: pyramid_grid, cartesian_grid
use integration, only: volume_integration
contains
subroutine volume_partition
implicit none
integer :: i,j,k,n
real(kind=dp) :: i1,i2,i3,i4
real(kind=dp) :: j1,j2,j3,j4
integer :: a1,a2,a3
integer :: b1,b2,b3
real(kind=dp) :: ha1,ha2
real(kind=dp) :: hb1,hb2
real(kind=dp) :: temp
real(kind=dp) :: a1_dp,a2_dp
real(kind=dp) :: b1_dp,b2_dp
real(kind=dp) :: i1s_dp, i2s_dp
real(kind=dp) :: j1s_dp, j2s_dp
real(kind=dp) :: k1s_dp, k2s_dp
real(kind=dp) :: relative_difference
! these variables only used to check if the code is correct, must erase when finish
real(kind=dp) ::sumsum, sumsum2
integer :: i_primary, i_secondary
integer ::x,y,z
integer :: xx,yy,zz
integer :: min_i,max_i,min_j,max_j
! initialization
a1 = 0
a2 = 0
a3 = 0
b1 = 0
b2 = 0
b3 = 0
ha1 = 0
ha2 = 0
hb1 = 0
hb2 = 0
! Find out how Cartedian coordinate line partition the pyramid cell
do k = 1,level_py
do i = 1,partition(k)
do j = 1,partition(k)
n = real(partition(k))
i1 = real(i-1)*real(k-1)/n
i2 = real(i-1)*real(k)/n
i3 = real(i)*real(k-1)/n
i4 = real(i)*real(k)/n
j1 = real(j-1)*real(k-1)/n
j2 = real(j-1)*real(k)/n
j3 = real(j)*real(k-1)/n
j4 = real(j)*real(k)/n
if (int(i4)-int(i1).eq.0) then
a1 = int(i1)+1
elseif (int(i4)-int(i1).eq.1 .and. i4-int(i4).le.0.00000001) then
a1 = int(i4)
elseif (int(i4)-int(i1).eq.1 .and. i4-int(i4).gt.0.00000001) then
a1 = int(i4)
a2 = int(i4)+1
if (i1.le.a1 .and. a1.le.i2) then ! comparison fp and int
ha1 = real(n)*real(a1)/real(i-1)
elseif (i3.le.a1 .and. a1.le.i4) then
ha1 = real(n)*real(a1)/real(i)
endif
elseif (int(i4)-int(i1).eq.2 .and. i4-int(i4).le.0.00000001) then
a1 = int(i1)+1
a2 = int(i4)
if (i1.le.a1 .and. a1.le.i2) then
ha1 = real(n)*real(a1)/real(i-1)
elseif (i3.le.a1 .and. a1.le.i4) then
ha1 = real(n)*real(a1)/real(i)
endif
elseif (int(i4)-int(i1).eq.2 .and. i4-int(i4).gt.0.00000001) then
a1 = int(i1)+1
a2 = int(i4)
a3 = int(i4)+1
ha1 = real(n)*real(a1)/real(i-1)
ha2 = real(n)*real(a2)/real(i)
endif
if (int(j4)-int(j1).eq.0) then
b1 = int(j1)+1
elseif (int(j4)-int(j1).eq.1 .and. j4-int(j4).le.0.00000001) then
b1 = int(j4)
elseif (int(j4)-int(j1).eq.1 .and. j4-int(j4).gt.0.00000001) then
b1 = int(j4)
b2 = int(j4)+1
if (j1.le.b1 .and. b1.le.j2) then
hb1 = real(n)*real(b1)/real(j-1)
elseif (j3.le.b1 .and. b1.le.j4) then
hb1 = real(n)*real(b1)/real(j)
endif
elseif (int(j4)-int(j1).eq.2 .and. j4-int(j4).le.0.00000001) then
b1 = int(j1)+1
b2 = int(j4)
if (j1.le.b1 .and. b1.le.j2) then
hb1 = real(n)*real(b1)/real(j-1)
elseif (j3.le.b1 .and. b1.le.j4) then
hb1 = real(n)*real(b1)/real(j)
endif
elseif (int(j4)-int(j1).eq.2 .and. j4-int(j4).gt.0.00000001) then
b1 = int(j1)+1
b2 = int(j4)
b3 = int(j4)+1
hb1 = real(n)*real(b1)/real(j-1)
hb2 = real(n)*real(b2)/real(j)
endif
a1_dp = real(a1)
a2_dp = real(a2)
b1_dp = real(b1)
b2_dp = real(b2)
i1s_dp = real(i-1)/n
i2s_dp = real(i)/n
j1s_dp = real(j-1)/n
j2s_dp = real(j)/n
k1s_dp = real(k-1)
k2s_dp = real(k)
if (pyramid_grid(k)%case(i,j).eq.1) then
temp = volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,k1s_dp,k2s_dp,1,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b1)%transform_volume(i,j) = temp * cellsize_py_cube
relative_difference = (sum(sum(pyramid_grid(k)%transform(i,j)%transform_volume,1),1)-pyramid_grid(k)%volume)&
/pyramid_grid(k)%volume
if(relative_difference.ge.0.0001) then
write(*,*) 'case ',pyramid_grid(k)%case(i,j),' relative difference is ',relative_difference
endif
elseif (pyramid_grid(k)%case(i,j).eq.2) then
temp = volume_integration(0.0_dp,i1s_dp,a1_dp,0.0_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,k1s_dp,ha1,2,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,ha1,k2s_dp,3,1)+&
volume_integration(a1_dp,0.0_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,k1s_dp,ha1,3,2)
pyramid_grid(k)%transform(i,j)%transform_volume(a2,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a2,b1)%transform_volume(i,j) = temp * cellsize_py_cube
relative_difference = (sum(sum(pyramid_grid(k)%transform(i,j)%transform_volume,1),1)-pyramid_grid(k)%volume)&
/pyramid_grid(k)%volume
if(relative_difference.ge.0.0001) then
write(*,*) 'case ',pyramid_grid(k)%case(i,j),' relative difference is ',relative_difference
endif
elseif (pyramid_grid(k)%case(i,j).eq.3) then
temp = volume_integration(0.0_dp,i1s_dp,a1_dp,0.0_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,k1s_dp,k2s_dp,4,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(a1_dp,0.0_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,k1s_dp,k2s_dp,5,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a2,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a2,b1)%transform_volume(i,j) = temp * cellsize_py_cube
relative_difference = (sum(sum(pyramid_grid(k)%transform(i,j)%transform_volume,1),1)-pyramid_grid(k)%volume)&
/pyramid_grid(k)%volume
if(relative_difference.ge.0.0001) then
write(*,*) 'case ',pyramid_grid(k)%case(i,j),' relative difference is ',relative_difference
endif
elseif (pyramid_grid(k)%case(i,j).eq.4) then
temp = volume_integration(0.0_dp,i1s_dp,a1_dp,0.0_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,ha1,k2s_dp,6,1)+&
volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,k1s_dp,ha1,6,2)
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(a1_dp,0.0_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,ha1,k2s_dp,7,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a2,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a2,b1)%transform_volume(i,j) = temp * cellsize_py_cube
relative_difference = (sum(sum(pyramid_grid(k)%transform(i,j)%transform_volume,1),1)-pyramid_grid(k)%volume)&
/pyramid_grid(k)%volume
if(relative_difference.ge.0.0001) then
write(*,*) 'case ',pyramid_grid(k)%case(i,j),' relative difference is ',relative_difference
endif
elseif (pyramid_grid(k)%case(i,j).eq.5) then
temp = volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,k1s_dp,hb1,8,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,hb1,k2s_dp,9,1)+&
volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,k1s_dp,hb1,9,2)
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b2) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b2)%transform_volume(i,j) = temp * cellsize_py_cube
relative_difference = (sum(sum(pyramid_grid(k)%transform(i,j)%transform_volume,1),1)-pyramid_grid(k)%volume)&
/pyramid_grid(k)%volume
if(relative_difference.ge.0.0001) then
write(*,*) 'case ',pyramid_grid(k)%case(i,j),' relative difference is ',relative_difference
endif
elseif (pyramid_grid(k)%case(i,j).eq.6) then
temp = volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,k1s_dp,k2s_dp,10,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,k1s_dp,k2s_dp,11,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b2) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b2)%transform_volume(i,j) = temp * cellsize_py_cube
relative_difference = (sum(sum(pyramid_grid(k)%transform(i,j)%transform_volume,1),1)-pyramid_grid(k)%volume)&
/pyramid_grid(k)%volume
if(relative_difference.ge.0.0001) then
write(*,*) 'case ',pyramid_grid(k)%case(i,j),' relative difference is ',relative_difference
endif
elseif (pyramid_grid(k)%case(i,j).eq.7) then
temp = volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,hb1,k2s_dp,12,1)+&
volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,k1s_dp,hb1,12,2)
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,hb1,k2s_dp,13,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b2) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b2)%transform_volume(i,j) = temp * cellsize_py_cube
relative_difference = (sum(sum(pyramid_grid(k)%transform(i,j)%transform_volume,1),1)-pyramid_grid(k)%volume)&
/pyramid_grid(k)%volume
if(relative_difference.ge.0.0001) then
write(*,*) 'case ',pyramid_grid(k)%case(i,j),' relative difference is ',relative_difference
endif
elseif (pyramid_grid(k)%case(i,j).eq.8) then
temp = volume_integration(0.0_dp,i1s_dp,a1_dp,0.0_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,k1s_dp,hb1,14,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(0.0_dp,i1s_dp,a1_dp,0.0_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,hb1,ha1,15,1)+&
volume_integration(0.0_dp,i1s_dp,a1_dp,0.0_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,k1s_dp,hb1,15,2)
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b2) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b2)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(a1_dp,0.0_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,k1s_dp,hb1,16,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a2,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a2,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,ha1,k2s_dp,17,1)+&
volume_integration(a1_dp,0.0_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,hb1,ha1,17,2)+&
volume_integration(a1_dp,0.0_dp,0.0_dp,i2s_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,k1s_dp,hb1,17,3)
pyramid_grid(k)%transform(i,j)%transform_volume(a2,b2) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a2,b2)%transform_volume(i,j) = temp * cellsize_py_cube
relative_difference = (sum(sum(pyramid_grid(k)%transform(i,j)%transform_volume,1),1)-pyramid_grid(k)%volume)&
/pyramid_grid(k)%volume
if(relative_difference.ge.0.0001) then
write(*,*) 'case ',pyramid_grid(k)%case(i,j),' relative difference is ',relative_difference
endif
elseif (pyramid_grid(k)%case(i,j).eq.9) then
temp = volume_integration(0.0_dp,i1s_dp,a1_dp,0.0_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,k1s_dp,ha1,18,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(0.0_dp,i1s_dp,a1_dp,0.0_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,k1s_dp,ha1,19,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b2) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b2)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,ha1,hb1,20,1)+&
volume_integration(a1_dp,0.0_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,k1s_dp,ha1,20,2)
pyramid_grid(k)%transform(i,j)%transform_volume(a2,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a2,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,hb1,k2s_dp,21,1)+&
volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,ha1,hb1,21,2)+&
volume_integration(a1_dp,0.0_dp,0.0_dp,i2s_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,k1s_dp,ha1,21,3)
pyramid_grid(k)%transform(i,j)%transform_volume(a2,b2) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a2,b2)%transform_volume(i,j) = temp * cellsize_py_cube
relative_difference = (sum(sum(pyramid_grid(k)%transform(i,j)%transform_volume,1),1)-pyramid_grid(k)%volume)&
/pyramid_grid(k)%volume
if(relative_difference.ge.0.0001) then
write(*,*) 'case ',pyramid_grid(k)%case(i,j),' relative difference is ',relative_difference
endif
elseif (pyramid_grid(k)%case(i,j).eq.10) then
temp = volume_integration(0.0_dp,i1s_dp,a1_dp,0.0_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,k1s_dp,hb1,22,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(0.0_dp,i1s_dp,a1_dp,0.0_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,hb1,k2s_dp,23,1)+&
volume_integration(0.0_dp,i1s_dp,a1_dp,0.0_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,k1s_dp,hb1,23,2)
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b2) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b2)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(a1_dp,0.0_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,k1s_dp,hb1,24,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a2,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a2,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(a1_dp,0.0_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,hb1,k2s_dp,25,1)+&
volume_integration(a1_dp,0.0_dp,0.0_dp,i2s_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,k1s_dp,hb1,25,2)
pyramid_grid(k)%transform(i,j)%transform_volume(a2,b2) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a2,b2)%transform_volume(i,j) = temp * cellsize_py_cube
relative_difference = (sum(sum(pyramid_grid(k)%transform(i,j)%transform_volume,1),1)-pyramid_grid(k)%volume)&
/pyramid_grid(k)%volume
if(relative_difference.ge.0.0001) then
write(*,*) 'case ',pyramid_grid(k)%case(i,j),' relative difference is ',relative_difference
endif
elseif (pyramid_grid(k)%case(i,j).eq.11) then
temp = volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,k1s_dp,hb1,26,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(0.0_dp,i1s_dp,a1_dp,0.0_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,ha1,k2s_dp,27,1)+&
volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,hb1,ha1,27,2)+&
volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,k1s_dp,hb1,27,3)
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b2) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b2)%transform_volume(i,j) = temp * cellsize_py_cube
temp = 0.0
pyramid_grid(k)%transform(i,j)%transform_volume(a2,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a2,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(a1_dp,0.0_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,ha1,k2s_dp,28,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a2,b2) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a2,b2)%transform_volume(i,j) = temp * cellsize_py_cube
relative_difference = (sum(sum(pyramid_grid(k)%transform(i,j)%transform_volume,1),1)-pyramid_grid(k)%volume)&
/pyramid_grid(k)%volume
if(relative_difference.ge.0.0001) then
write(*,*) 'case ',pyramid_grid(k)%case(i,j),' relative difference is ',relative_difference
endif
elseif (pyramid_grid(k)%case(i,j).eq.12) then
temp = volume_integration(0.0_dp,i1s_dp,a1_dp,0.0_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,ha1,hb1,29,1)+&
volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,k1s_dp,ha1,29,2)
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(0.0_dp,i1s_dp,a1_dp,0.0_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,hb1,k2s_dp,30,1)+&
volume_integration(0.0_dp,i1s_dp,a1_dp,0.0_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,ha1,hb1,30,2)+&
volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,k1s_dp,ha1,30,3)
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b2) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b2)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(a1_dp,0.0_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,ha1,hb1,31,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a2,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a2,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(a1_dp,0.0_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,hb1,k2s_dp,32,1)+&
volume_integration(a1_dp,0.0_dp,0.0_dp,i2s_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,ha1,hb1,32,2)
pyramid_grid(k)%transform(i,j)%transform_volume(a2,b2) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a2,b2)%transform_volume(i,j) = temp * cellsize_py_cube
relative_difference = (sum(sum(pyramid_grid(k)%transform(i,j)%transform_volume,1),1)-pyramid_grid(k)%volume)&
/pyramid_grid(k)%volume
if(relative_difference.ge.0.0001) then
write(*,*) 'case ',pyramid_grid(k)%case(i,j),' relative difference is ',relative_difference
endif
elseif (pyramid_grid(k)%case(i,j).eq.13) then
temp = volume_integration(0.0_dp,i1s_dp,a1_dp,0.0_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,k1s_dp,ha1,33,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(0.0_dp,i1s_dp,a1_dp,0.0_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,k1s_dp,ha1,34,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b2) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b2)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,ha1,k2s_dp,35,1)+&
volume_integration(a1_dp,0.0_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,k1s_dp,ha1,35,2)
pyramid_grid(k)%transform(i,j)%transform_volume(a2,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a2,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,ha1,k2s_dp,36,1)+&
volume_integration(a1_dp,0.0_dp,0.0_dp,i2s_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,k1s_dp,ha1,36,2)
pyramid_grid(k)%transform(i,j)%transform_volume(a2,b2) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a2,b2)%transform_volume(i,j) = temp * cellsize_py_cube
relative_difference = (sum(sum(pyramid_grid(k)%transform(i,j)%transform_volume,1),1)-pyramid_grid(k)%volume)&
/pyramid_grid(k)%volume
if(relative_difference.ge.0.0001) then
write(*,*) 'case ',pyramid_grid(k)%case(i,j),' relative difference is ',relative_difference
endif
elseif (pyramid_grid(k)%case(i,j).eq.14) then
temp = volume_integration(0.0_dp,i1s_dp,a1_dp,0.0_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,k1s_dp,k2s_dp,37,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(0.0_dp,i1s_dp,a1_dp,0.0_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,k1s_dp,k2s_dp,38,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b2) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b2)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(a1_dp,0.0_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,k1s_dp,k2s_dp,39,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a2,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a2,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(a1_dp,0.0_dp,0.0_dp,i2s_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,k1s_dp,k2s_dp,40,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a2,b2) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a2,b2)%transform_volume(i,j) = temp * cellsize_py_cube
relative_difference = (sum(sum(pyramid_grid(k)%transform(i,j)%transform_volume,1),1)-pyramid_grid(k)%volume)&
/pyramid_grid(k)%volume
if(relative_difference.ge.0.0001) then
write(*,*) 'case ',pyramid_grid(k)%case(i,j),' relative difference is ',relative_difference
endif
elseif (pyramid_grid(k)%case(i,j).eq.15) then
temp = volume_integration(0.0_dp,i1s_dp,a1_dp,0.0_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,ha1,k2s_dp,41,1)+&
volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,k1s_dp,ha1,41,2)
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(0.0_dp,i1s_dp,a1_dp,0.0_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,ha1,k2s_dp,42,1)+&
volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,k1s_dp,ha1,42,2)
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b2) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b2)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(a1_dp,0.0_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,ha1,k2s_dp,43,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a2,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a2,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(a1_dp,0.0_dp,0.0_dp,i2s_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,ha1,k2s_dp,44,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a2,b2) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a2,b2)%transform_volume(i,j) = temp * cellsize_py_cube
relative_difference = (sum(sum(pyramid_grid(k)%transform(i,j)%transform_volume,1),1)-pyramid_grid(k)%volume)&
/pyramid_grid(k)%volume
if(relative_difference.ge.0.0001) then
write(*,*) 'case ',pyramid_grid(k)%case(i,j),' relative difference is ',relative_difference
endif
elseif (pyramid_grid(k)%case(i,j).eq.16) then
temp = volume_integration(0.0_dp,i1s_dp,a1_dp,0.0_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,hb1,ha1,45,1)+&
volume_integration(0.0_dp,i1s_dp,a1_dp,0.0_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,k1s_dp,hb1,45,2)
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(0.0_dp,i1s_dp,a1_dp,0.0_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,hb1,ha1,46,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b2) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b2)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,ha1,k2s_dp,47,1)+&
volume_integration(a1_dp,0.0_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,hb1,ha1,47,2)+&
volume_integration(a1_dp,0.0_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,k1s_dp,hb1,47,3)
pyramid_grid(k)%transform(i,j)%transform_volume(a2,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a2,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,ha1,k2s_dp,48,1)+&
volume_integration(a1_dp,0.0_dp,0.0_dp,i2s_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,hb1,ha1,48,2)
pyramid_grid(k)%transform(i,j)%transform_volume(a2,b2) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a2,b2)%transform_volume(i,j) = temp * cellsize_py_cube
relative_difference = (sum(sum(pyramid_grid(k)%transform(i,j)%transform_volume,1),1)-pyramid_grid(k)%volume)&
/pyramid_grid(k)%volume
if(relative_difference.ge.0.0001) then
write(*,*) 'case ',pyramid_grid(k)%case(i,j),' relative difference is ',relative_difference
endif
elseif (pyramid_grid(k)%case(i,j).eq.17) then
temp = volume_integration(0.0_dp,i1s_dp,a1_dp,0.0_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,k1s_dp,ha1,49,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = 0.0
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b2) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b2)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,hb1,k2s_dp,50,1)+&
volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,ha1,hb1,50,2)+&
volume_integration(a1_dp,0.0_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,k1s_dp,ha1,50,3)
pyramid_grid(k)%transform(i,j)%transform_volume(a2,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a2,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,hb1,k2s_dp,51,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a2,b2) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a2,b2)%transform_volume(i,j) = temp * cellsize_py_cube
relative_difference = (sum(sum(pyramid_grid(k)%transform(i,j)%transform_volume,1),1)-pyramid_grid(k)%volume)&
/pyramid_grid(k)%volume
if(relative_difference.ge.0.0001) then
write(*,*) 'case ',pyramid_grid(k)%case(i,j),' relative difference is ',relative_difference
endif
elseif (pyramid_grid(k)%case(i,j).eq.18) then
temp = volume_integration(0.0_dp,i1s_dp,a1_dp,0.0_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,hb1,k2s_dp,52,1)+&
volume_integration(0.0_dp,i1s_dp,a1_dp,0.0_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,k1s_dp,hb1,52,2)
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(0.0_dp,i1s_dp,a1_dp,0.0_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,hb1,k2s_dp,53,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b2) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b2)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(a1_dp,0.0_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,hb1,k2s_dp,54,1)+&
volume_integration(a1_dp,0.0_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,k1s_dp,hb1,54,2)
pyramid_grid(k)%transform(i,j)%transform_volume(a2,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a2,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(a1_dp,0.0_dp,0.0_dp,i2s_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,hb1,k2s_dp,55,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a2,b2) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a2,b2)%transform_volume(i,j) = temp * cellsize_py_cube
relative_difference = (sum(sum(pyramid_grid(k)%transform(i,j)%transform_volume,1),1)-pyramid_grid(k)%volume)&
/pyramid_grid(k)%volume
if(relative_difference.ge.0.0001) then
write(*,*) 'case ',pyramid_grid(k)%case(i,j),' relative difference is ',relative_difference
endif
elseif (pyramid_grid(k)%case(i,j).eq.19) then
temp = volume_integration(0.0_dp,i1s_dp,a1_dp,0.0_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,ha1,k2s_dp,56,1)+&
volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,hb1,ha1,56,2)+&
volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,k1s_dp,hb1,56,3)
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(0.0_dp,i1s_dp,a1_dp,0.0_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,ha1,k2s_dp,57,1)+&
volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,hb1,ha1,57,2)
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b2) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b2)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(a1_dp,0.0_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,ha1,k2s_dp,58,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a2,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a2,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(a1_dp,0.0_dp,0.0_dp,i2s_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,ha1,k2s_dp,59,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a2,b2) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a2,b2)%transform_volume(i,j) = temp * cellsize_py_cube
relative_difference = (sum(sum(pyramid_grid(k)%transform(i,j)%transform_volume,1),1)-pyramid_grid(k)%volume)&
/pyramid_grid(k)%volume
if(relative_difference.ge.0.0001) then
write(*,*) 'case ',pyramid_grid(k)%case(i,j),' relative difference is ',relative_difference
endif
elseif (pyramid_grid(k)%case(i,j).eq.20) then
temp = volume_integration(0.0_dp,i1s_dp,a1_dp,0.0_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,hb1,k2s_dp,60,1)+&
volume_integration(0.0_dp,i1s_dp,a1_dp,0.0_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,ha1,hb1,60,2)+&
volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,k1s_dp,ha1,60,3)
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(0.0_dp,i1s_dp,a1_dp,0.0_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,hb1,k2s_dp,61,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b2) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b2)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(a1_dp,0.0_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,hb1,k2s_dp,62,1)+&
volume_integration(a1_dp,0.0_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,ha1,hb1,62,2)
pyramid_grid(k)%transform(i,j)%transform_volume(a2,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a2,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(a1_dp,0.0_dp,0.0_dp,i2s_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,hb1,k2s_dp,63,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a2,b2) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a2,b2)%transform_volume(i,j) = temp * cellsize_py_cube
relative_difference = (sum(sum(pyramid_grid(k)%transform(i,j)%transform_volume,1),1)-pyramid_grid(k)%volume)&
/pyramid_grid(k)%volume
if(relative_difference.ge.0.0001) then
write(*,*) 'case ',pyramid_grid(k)%case(i,j),' relative difference is ',relative_difference
endif
elseif (pyramid_grid(k)%case(i,j).eq.21) then
temp = volume_integration(0.0_dp,i1s_dp,a1_dp,0.0_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,k1s_dp,ha1,64,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(0.0_dp,i1s_dp,a2_dp,0.0_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,ha2,k2s_dp,65,1)+&
volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,ha1,ha2,65,2)+&
volume_integration(a1_dp,0.0_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,k1s_dp,ha1,65,3)
pyramid_grid(k)%transform(i,j)%transform_volume(a2,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a2,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(a2_dp,0.0_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,ha2,k2s_dp,66,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a3,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a3,b1)%transform_volume(i,j) = temp * cellsize_py_cube
relative_difference = (sum(sum(pyramid_grid(k)%transform(i,j)%transform_volume,1),1)-pyramid_grid(k)%volume)&
/pyramid_grid(k)%volume
if(relative_difference.ge.0.0001) then
write(*,*) 'case ',pyramid_grid(k)%case(i,j),' relative difference is ',relative_difference
endif
elseif (pyramid_grid(k)%case(i,j).eq.22) then
temp = volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,k1s_dp,hb1,67,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,b2_dp,0.0_dp,hb2,k2s_dp,68,1)+&
volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,hb1,hb2,68,2)+&
volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,k1s_dp,hb1,68,3)
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b2) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b2)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,b2_dp,0.0_dp,0.0_dp,j2s_dp,hb2,k2s_dp,69,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b3) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b3)%transform_volume(i,j) = temp * cellsize_py_cube
relative_difference = (sum(sum(pyramid_grid(k)%transform(i,j)%transform_volume,1),1)-pyramid_grid(k)%volume)&
/pyramid_grid(k)%volume
if(relative_difference.ge.0.0001) then
write(*,*) 'case ',pyramid_grid(k)%case(i,j),' relative difference is ',relative_difference
endif
elseif (pyramid_grid(k)%case(i,j).eq.23) then
temp = volume_integration(0.0_dp,i1s_dp,a1_dp,0.0_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,k1s_dp,hb1,70,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(0.0_dp,i1s_dp,a1_dp,0.0_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,hb1,ha1,71,1)+&
volume_integration(0.0_dp,i1s_dp,a1_dp,0.0_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,k1s_dp,hb1,71,2)
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b2) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b2)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(a1_dp,0.0_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,k1s_dp,hb1,72,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a2,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a2,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(0.0_dp,i1s_dp,a2_dp,0.0_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,ha2,k2s_dp,73,1)+&
volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,ha1,ha2,73,2)+&
volume_integration(a1_dp,0.0_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,hb1,ha1,73,3)+&
volume_integration(a1_dp,0.0_dp,0.0_dp,i2s_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,k1s_dp,hb1,73,4)
pyramid_grid(k)%transform(i,j)%transform_volume(a2,b2) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a2,b2)%transform_volume(i,j) = temp * cellsize_py_cube
temp = 0.0
pyramid_grid(k)%transform(i,j)%transform_volume(a3,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a3,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(a2_dp,0.0_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,ha2,k2s_dp,74,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a3,b2) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a3,b2)%transform_volume(i,j) = temp * cellsize_py_cube
relative_difference = (sum(sum(pyramid_grid(k)%transform(i,j)%transform_volume,1),1)-pyramid_grid(k)%volume)&
/pyramid_grid(k)%volume
if(relative_difference.ge.0.0001) then
write(*,*) 'case ',pyramid_grid(k)%case(i,j),' relative difference is ',relative_difference
endif
elseif (pyramid_grid(k)%case(i,j).eq.24) then
temp = volume_integration(0.0_dp,i1s_dp,a1_dp,0.0_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,k1s_dp,ha1,75,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(0.0_dp,i1s_dp,a1_dp,0.0_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,k1s_dp,ha1,76,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b2) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b2)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,ha1,hb1,77,1)+&
volume_integration(a1_dp,0.0_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,k1s_dp,ha1,77,2)
pyramid_grid(k)%transform(i,j)%transform_volume(a2,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a2,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(0.0_dp,i1s_dp,a2_dp,0.0_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,ha2,k2s_dp,78,1)+&
volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,hb1,ha2,78,2)+&
volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,ha1,hb1,78,3)+&
volume_integration(a1_dp,0.0_dp,0.0_dp,i2s_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,k1s_dp,ha1,78,4)
pyramid_grid(k)%transform(i,j)%transform_volume(a2,b2) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a2,b2)%transform_volume(i,j) = temp * cellsize_py_cube
temp = 0.0
pyramid_grid(k)%transform(i,j)%transform_volume(a3,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a3,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(a2_dp,0.0_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,ha2,k2s_dp,79,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a3,b2) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a3,b2)%transform_volume(i,j) = temp * cellsize_py_cube
relative_difference = (sum(sum(pyramid_grid(k)%transform(i,j)%transform_volume,1),1)-pyramid_grid(k)%volume)&
/pyramid_grid(k)%volume
if(relative_difference.ge.0.0001) then
write(*,*) 'case ',pyramid_grid(k)%case(i,j),' relative difference is ',relative_difference
endif
elseif (pyramid_grid(k)%case(i,j).eq.25) then
temp = volume_integration(0.0_dp,i1s_dp,a1_dp,0.0_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,k1s_dp,ha1,80,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(0.0_dp,i1s_dp,a1_dp,0.0_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,k1s_dp,ha1,81,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b2) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b2)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(0.0_dp,i1s_dp,a2_dp,0.0_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,ha2,hb1,82,1)+&
volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,ha1,ha2,82,2)+&
volume_integration(a1_dp,0.0_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,k1s_dp,ha1,82,3)
pyramid_grid(k)%transform(i,j)%transform_volume(a2,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a2,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(0.0_dp,i1s_dp,a2_dp,0.0_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,hb1,k2s_dp,83,1)+&
volume_integration(0.0_dp,i1s_dp,a2_dp,0.0_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,ha2,hb1,83,2)+&
volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,ha1,ha2,83,3)+&
volume_integration(a1_dp,0.0_dp,0.0_dp,i2s_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,k1s_dp,ha1,83,4)
pyramid_grid(k)%transform(i,j)%transform_volume(a2,b2) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a2,b2)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(a2_dp,0.0_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,ha2,hb1,84,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a3,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a3,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(a2_dp,0.0_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,hb1,k2s_dp,85,1)+&
volume_integration(a2_dp,0.0_dp,0.0_dp,i2s_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,ha2,hb1,85,2)
pyramid_grid(k)%transform(i,j)%transform_volume(a3,b2) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a3,b2)%transform_volume(i,j) = temp * cellsize_py_cube
relative_difference = (sum(sum(pyramid_grid(k)%transform(i,j)%transform_volume,1),1)-pyramid_grid(k)%volume)&
/pyramid_grid(k)%volume
if(relative_difference.ge.0.0001) then
write(*,*) 'case ',pyramid_grid(k)%case(i,j),' relative difference is ',relative_difference
endif
elseif (pyramid_grid(k)%case(i,j).eq.26) then
temp = volume_integration(0.0_dp,i1s_dp,a1_dp,0.0_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,k1s_dp,ha1,86,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(0.0_dp,i1s_dp,a1_dp,0.0_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,k1s_dp,ha1,87,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b2) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b2)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(0.0_dp,i1s_dp,a2_dp,0.0_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,ha2,k2s_dp,88,1)+&
volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,ha1,ha2,88,2)+&
volume_integration(a1_dp,0.0_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,k1s_dp,ha1,88,3)
pyramid_grid(k)%transform(i,j)%transform_volume(a2,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a2,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(0.0_dp,i1s_dp,a2_dp,0.0_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,ha2,k2s_dp,89,1)+&
volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,ha1,ha2,89,2)+&
volume_integration(a1_dp,0.0_dp,0.0_dp,i2s_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,k1s_dp,ha1,89,3)
pyramid_grid(k)%transform(i,j)%transform_volume(a2,b2) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a2,b2)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(a2_dp,0.0_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,ha2,k2s_dp,90,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a3,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a3,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(a2_dp,0.0_dp,0.0_dp,i2s_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,ha2,k2s_dp,91,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a3,b2) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a3,b2)%transform_volume(i,j) = temp * cellsize_py_cube
relative_difference = (sum(sum(pyramid_grid(k)%transform(i,j)%transform_volume,1),1)-pyramid_grid(k)%volume)&
/pyramid_grid(k)%volume
if(relative_difference.ge.0.0001) then
write(*,*) 'case ',pyramid_grid(k)%case(i,j),' relative difference is ',relative_difference
endif
elseif (pyramid_grid(k)%case(i,j).eq.27) then
temp = volume_integration(0.0_dp,i1s_dp,a1_dp,0.0_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,hb1,ha1,92,1)+&
volume_integration(0.0_dp,i1s_dp,a1_dp,0.0_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,k1s_dp,hb1,92,2)
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(0.0_dp,i1s_dp,a1_dp,0.0_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,hb1,ha1,93,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b2) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b2)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(0.0_dp,i1s_dp,a2_dp,0.0_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,ha2,k2s_dp,94,1)+&
volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,ha1,ha2,94,2)+&
volume_integration(a1_dp,0.0_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,hb1,ha1,94,3)+&
volume_integration(a1_dp,0.0_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,k1s_dp,hb1,94,4)
pyramid_grid(k)%transform(i,j)%transform_volume(a2,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a2,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(0.0_dp,i1s_dp,a2_dp,0.0_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,ha2,k2s_dp,95,1)+&
volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,ha1,ha2,95,2)+&
volume_integration(a1_dp,0.0_dp,0.0_dp,i2s_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,hb1,ha1,95,3)
pyramid_grid(k)%transform(i,j)%transform_volume(a2,b2) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a2,b2)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(a2_dp,0.0_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,ha2,k2s_dp,96,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a3,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a3,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(a2_dp,0.0_dp,0.0_dp,i2s_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,ha2,k2s_dp,97,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a3,b2) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a3,b2)%transform_volume(i,j) = temp * cellsize_py_cube
relative_difference = (sum(sum(pyramid_grid(k)%transform(i,j)%transform_volume,1),1)-pyramid_grid(k)%volume)&
/pyramid_grid(k)%volume
if(relative_difference.ge.0.0001) then
write(*,*) 'case ',pyramid_grid(k)%case(i,j),' relative difference is ',relative_difference
endif
elseif (pyramid_grid(k)%case(i,j).eq.28) then
temp = volume_integration(0.0_dp,i1s_dp,a1_dp,0.0_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,k1s_dp,ha1,98,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = 0.0
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b2) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b2)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(0.0_dp,i1s_dp,a2_dp,0.0_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,ha2,k2s_dp,99,1)+&
volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,hb1,ha2,99,2)+&
volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,ha1,hb1,99,3)+&
volume_integration(a1_dp,0.0_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,k1s_dp,ha1,99,4)
pyramid_grid(k)%transform(i,j)%transform_volume(a2,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a2,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(0.0_dp,i1s_dp,a2_dp,0.0_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,ha2,k2s_dp,100,1)+&
volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,hb1,ha2,100,2)
pyramid_grid(k)%transform(i,j)%transform_volume(a2,b2) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a2,b2)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(a2_dp,0.0_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,ha2,k2s_dp,101,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a3,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a3,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(a2_dp,0.0_dp,0.0_dp,i2s_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,ha2,k2s_dp,102,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a3,b2) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a3,b2)%transform_volume(i,j) = temp * cellsize_py_cube
relative_difference = (sum(sum(pyramid_grid(k)%transform(i,j)%transform_volume,1),1)-pyramid_grid(k)%volume)&
/pyramid_grid(k)%volume
if(relative_difference.ge.0.0001) then
write(*,*) 'case ',pyramid_grid(k)%case(i,j),' relative difference is ',relative_difference
endif
elseif (pyramid_grid(k)%case(i,j).eq.29) then
temp = volume_integration(0.0_dp,i1s_dp,a1_dp,0.0_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,k1s_dp,ha1,103,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = 0.0
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b2) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b2)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(0.0_dp,i1s_dp,a2_dp,0.0_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,hb1,k2s_dp,104,1)+&
volume_integration(0.0_dp,i1s_dp,a2_dp,0.0_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,ha2,hb1,104,2)+&
volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,ha1,ha2,104,3)+&
volume_integration(a1_dp,0.0_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,k1s_dp,ha1,104,4)
pyramid_grid(k)%transform(i,j)%transform_volume(a2,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a2,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(0.0_dp,i1s_dp,a2_dp,0.0_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,hb1,k2s_dp,105,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a2,b2) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a2,b2)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(a2_dp,0.0_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,hb1,k2s_dp,106,1)+&
volume_integration(a2_dp,0.0_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,ha2,hb1,106,2)
pyramid_grid(k)%transform(i,j)%transform_volume(a3,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a3,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(a2_dp,0.0_dp,0.0_dp,i2s_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,hb1,k2s_dp,107,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a3,b2) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a3,b2)%transform_volume(i,j) = temp * cellsize_py_cube
relative_difference = (sum(sum(pyramid_grid(k)%transform(i,j)%transform_volume,1),1)-pyramid_grid(k)%volume)&
/pyramid_grid(k)%volume
if(relative_difference.ge.0.0001) then
write(*,*) 'case ',pyramid_grid(k)%case(i,j),' relative difference is ',relative_difference
endif
elseif (pyramid_grid(k)%case(i,j).eq.30) then
temp = volume_integration(0.0_dp,i1s_dp,a1_dp,0.0_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,k1s_dp,ha1,108,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(0.0_dp,i1s_dp,a1_dp,0.0_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,k1s_dp,ha1,109,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b2) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b2)%transform_volume(i,j) = temp * cellsize_py_cube
temp = 0.0
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b3) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b3)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,ha1,hb1,110,1)+&
volume_integration(a1_dp,0.0_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,k1s_dp,ha1,110,2)
pyramid_grid(k)%transform(i,j)%transform_volume(a2,b1) = temp
cartesian_grid(k)%transform(a2,b1)%transform_volume(i,j) = temp
temp = volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,b2_dp,0.0_dp,hb2,k2s_dp,111,1)+&
volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,hb1,hb2,111,2)+&
volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,ha1,hb1,111,3)+&
volume_integration(a1_dp,0.0_dp,0.0_dp,i2s_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,k1s_dp,ha1,111,4)
pyramid_grid(k)%transform(i,j)%transform_volume(a2,b2) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a2,b2)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,b2_dp,0.0_dp,0.0_dp,j2s_dp,hb2,k2s_dp,112,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a2,b3) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a2,b3)%transform_volume(i,j) = temp * cellsize_py_cube
relative_difference = (sum(sum(pyramid_grid(k)%transform(i,j)%transform_volume,1),1)-pyramid_grid(k)%volume)&
/pyramid_grid(k)%volume
if(relative_difference.ge.0.0001) then
write(*,*) 'case ',pyramid_grid(k)%case(i,j),' relative difference is ',relative_difference
endif
elseif (pyramid_grid(k)%case(i,j).eq.31) then
temp = volume_integration(0.0_dp,i1s_dp,a1_dp,0.0_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,k1s_dp,hb1,113,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(0.0_dp,i1s_dp,a1_dp,0.0_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,hb1,ha1,114,1)+&
volume_integration(0.0_dp,i1s_dp,a1_dp,0.0_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,k1s_dp,hb1,114,2)
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b2) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b2)%transform_volume(i,j) = temp * cellsize_py_cube
temp = 0.0
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b3) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b3)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(a1_dp,0.0_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,k1s_dp,hb1,115,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a2,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a2,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,b2_dp,0.0_dp,hb2,k2s_dp,116,1)+&
volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,ha1,hb2,116,2)+&
volume_integration(a1_dp,0.0_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,hb1,ha1,116,3)+&
volume_integration(a1_dp,0.0_dp,0.0_dp,i2s_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,k1s_dp,hb1,116,4)
pyramid_grid(k)%transform(i,j)%transform_volume(a2,b2) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a2,b2)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,b2_dp,0.0_dp,0.0_dp,j2s_dp,hb2,k2s_dp,117,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a2,b3) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a2,b3)%transform_volume(i,j) = temp * cellsize_py_cube
relative_difference = (sum(sum(pyramid_grid(k)%transform(i,j)%transform_volume,1),1)-pyramid_grid(k)%volume)&
/pyramid_grid(k)%volume
if(relative_difference.ge.0.0001) then
write(*,*) 'case ',pyramid_grid(k)%case(i,j),' relative difference is ',relative_difference
endif
elseif (pyramid_grid(k)%case(i,j).eq.32) then
temp = volume_integration(0.0_dp,i1s_dp,a1_dp,0.0_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,k1s_dp,hb1,119,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(0.0_dp,i1s_dp,a1_dp,0.0_dp,0.0_dp,j1s_dp,b2_dp,0.0_dp,hb2,ha1,120,1)+&
volume_integration(0.0_dp,i1s_dp,a1_dp,0.0_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,hb1,hb2,120,2)+&
volume_integration(0.0_dp,i1s_dp,a1_dp,0.0_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,k1s_dp,hb1,120,3)
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b2) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b2)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(0.0_dp,i1s_dp,a1_dp,0.0_dp,b2_dp,0.0_dp,0.0_dp,j2s_dp,hb2,ha1,121,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b3) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a1,b3)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(a1_dp,0.0_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,k1s_dp,hb1,122,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a2,b1) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a2,b1)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,b2_dp,0.0_dp,ha1,k2s_dp,123,1)+&
volume_integration(a1_dp,0.0_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,b2_dp,0.0_dp,hb2,ha1,123,2)+&
volume_integration(a1_dp,0.0_dp,0.0_dp,i2s_dp,0.0_dp,j1s_dp,0.0_dp,j2s_dp,hb1,hb2,123,3)+&
volume_integration(a1_dp,0.0_dp,0.0_dp,i2s_dp,b1_dp,0.0_dp,0.0_dp,j2s_dp,k1s_dp,hb1,123,4)
pyramid_grid(k)%transform(i,j)%transform_volume(a2,b2) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a2,b2)%transform_volume(i,j) = temp * cellsize_py_cube
temp = volume_integration(0.0_dp,i1s_dp,0.0_dp,i2s_dp,b2_dp,0.0_dp,0.0_dp,j2s_dp,ha1,k2s_dp,124,1)+&
volume_integration(a1_dp,0.0_dp,0.0_dp,i2s_dp,b2_dp,0.0_dp,0.0_dp,j2s_dp,hb2,ha1,124,2)
pyramid_grid(k)%transform(i,j)%transform_volume(a2,b3) = temp * cellsize_py_cube
cartesian_grid(k)%transform(a2,b3)%transform_volume(i,j) = temp * cellsize_py_cube
relative_difference = (sum(sum(pyramid_grid(k)%transform(i,j)%transform_volume,1),1)-pyramid_grid(k)%volume)&
/pyramid_grid(k)%volume
if(relative_difference.ge.0.0001) then
write(*,*) 'case ',pyramid_grid(k)%case(i,j),' relative difference is ',relative_difference
endif
elseif (pyramid_grid(k)%case(i,j).eq.33) then
temp = volume_integration(0.0_dp,i1s_dp,a1_dp,0.0_dp,0.0_dp,j1s_dp,b1_dp,0.0_dp,k1s_dp,hb1,125,1)
pyramid_grid(k)%transform(i,j)%transform_volume(a1,b1) = temp * cellsize_py_cube