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-rw-r--r--src/Derivatives_8_4.F90139
1 files changed, 3 insertions, 136 deletions
diff --git a/src/Derivatives_8_4.F90 b/src/Derivatives_8_4.F90
index 025ae27..9b74e48 100644
--- a/src/Derivatives_8_4.F90
+++ b/src/Derivatives_8_4.F90
@@ -4,13 +4,13 @@
subroutine deriv_gf_8_4 ( var, ni, nj, nk, dir, bb, gsize, delta, dvar )
+ use All_Coeffs_mod
+
implicit none
DECLARE_CCTK_FUNCTIONS
DECLARE_CCTK_PARAMETERS
- CCTK_REAL, parameter :: zero = 0.0
- integer, parameter :: wp = kind(zero)
CCTK_INT, intent(IN) :: ni, nj, nk
CCTK_REAL, dimension(ni,nj,nk), intent(IN) :: var
CCTK_INT, intent(IN) :: dir
@@ -21,7 +21,6 @@ subroutine deriv_gf_8_4 ( var, ni, nj, nk, dir, bb, gsize, delta, dvar )
CCTK_REAL, dimension(4), save :: a
CCTK_REAL, dimension(12,8), save :: q
- CCTK_REAL, parameter :: x1 = 0.541_wp, x2 = -0.0675_wp, x3 = 0.748_wp
CCTK_REAL :: idel
CCTK_INT :: il, ir, jl, jr, kl, kr
@@ -29,139 +28,7 @@ subroutine deriv_gf_8_4 ( var, ni, nj, nk, dir, bb, gsize, delta, dvar )
logical, save :: first = .true.
if ( first ) then
- a(1) = 4.0_wp/5.0_wp; a(2) = -1.0_wp/5.0_wp
- a(3) = 4.0_wp/105.0_wp; a(4) = -1.0_wp/280.0_wp
-
- q(1,1) = -2540160.0_wp/1498139.0_wp
- q(2,1) = 9.0_wp * ( 2257920.0_wp*x1 + 11289600.0_wp*x2 + &
- 22579200.0_wp*x3 - 15849163.0_wp ) / 5992556.0_wp
- q(3,1) = 3.0_wp * ( -33868800.0_wp*x1 - 162570240.0_wp*x2 - &
- 304819200.0_wp*x3 + 235236677.0_wp ) / 5992556.0_wp
- q(4,1) = ( 609638400.0_wp*x1 + 2743372800.0_wp*x2 + &
- 4572288000.0_wp * x3 - 3577778591.0_wp ) / 17977668.0_wp
- q(5,1) = 3.0_wp * ( -16934400*x1 - 67737600.0_wp*x2 - &
- 84672000.0_wp*x3 + 67906303.0_wp ) / 1498139.0_wp
- q(6,1) = 105.0_wp * ( 967680.0_wp*x1 + 2903040.0_wp*x2 - &
- 305821.0_wp ) / 5992556.0_wp
- q(7,1) = 49.0_wp * ( -1244160.0_wp*x1 + 18662400.0_wp * x3 - &
- 13322233.0_wp ) / 17977668.0_wp
- q(8,1) = 3.0_wp * ( -6773760.0_wp*x2 - 33868800.0_wp*x3 + &
- 24839327.0_wp ) / 5992556.0_wp
- q(9,1) = zero; q(10,1) = zero; q(11,1) = zero; q(12,1) = zero
-
- q(1,2) = 9.0_wp * ( -2257920.0_wp*x1 - 11289600.0_wp*x2 - &
- 22579200.0_wp*x3 + 15849163.0_wp ) / 31004596.0_wp
- q(2,2) = zero
- q(3,2) = 3.0_wp * ( 7257600.0_wp*x1 + 33868800.0_wp*x2 + &
- 60963840.0_wp*x3 - 47167457.0_wp ) / 2214614.0_wp
- q(4,2) = 3.0_wp * ( -9676800.0_wp*x1 - 42336000.0_wp*x2 - &
- 67737600.0_wp*x3 + 53224573.0_wp ) / 1107307.0_wp
- q(5,2) = 7.0_wp * ( 55987200.0_wp*x1 + 217728000.0_wp*x2 + &
- 261273600.0_wp*x3 - 211102099.0_wp ) / 13287684.0_wp
- q(6,2) = 3.0_wp * ( -11612160.0_wp*x1 - 33868800.0_wp*x2 + &
- 3884117.0_wp ) / 2214614.0_wp
- q(7,2) = 150.0_wp * ( 24192.0_wp*x1 - 338688.0_wp*x3 + &
- 240463.0_wp ) / 1107307.0_wp
- q(8,2) = ( 152409600.0_wp*x2 + 731566080.0_wp*x3 - &
- 536324953.0_wp ) / 46506894.0_wp
- q(9,2) = zero; q(10,2) = zero; q(11,2) = zero; q(12,2) = zero
-
- q(1,3) = ( 33868800.0_wp*x1 + 162570240.0_wp*x2 + &
- 304819200.0_wp*x3 - 235236677.0_wp ) / 1743924.0_wp
- q(2,3) = ( -7257600.0_wp*x1 - 33868800.0_wp*x2 - &
- 60963840.0_wp*x3 + 47167457.0_wp ) / 124566.0_wp
- q(3,3) = zero
- q(4,3) = ( 24192000.0_wp*x1 + 101606400.0_wp*x2 + &
- 152409600.0_wp*x3 - 120219461.0_wp ) / 124566.0_wp
- q(5,3) = ( -72576000.0_wp*x1 - 270950400.0_wp*x2 - &
- 304819200.0_wp*x3 + 249289259.0_wp ) / 249132.0_wp
- q(6,3) = 9.0_wp * ( 806400.0_wp*x1 + 2257920.0_wp*x2 - &
- 290167.0_wp ) / 41522.0_wp
- q(7,3) = 6.0_wp * ( -134400.0_wp*x1 + 1693440.0_wp*x3 - &
- 1191611.0_wp ) / 20761.0_wp
- q(8,3) = 5.0_wp * ( -2257920.0_wp*x2 - 10160640.0_wp*x3 + &
- 7439833.0_wp ) / 290654.0_wp
- q(9,3) = zero; q(10,3) = zero; q(11,3) = zero; q(12,3) = zero
-
- q(1,4) = ( -609638400.0_wp*x1 - 2743372800.0_wp*x2 - &
- 4572288000.0_wp*x3 + 3577778591.0_wp ) / 109619916.0_wp
- q(2,4) = 3.0_wp * ( 9676800.0_wp*x1 + 42336000.0_wp*x2 + &
- 67737600.0_wp*x3 - 53224573.0_wp ) / 1304999.0_wp
- q(3,4) = 3.0_wp * ( -24192000.0_wp*x1 - 101606400.0_wp*x2 - &
- 152409600.0_wp*x3 + 120219461.0_wp ) / 2609998.0_wp
- q(4,4) = zero
- q(5,4) = 9.0_wp * ( 16128000.0_wp*x1 + 56448000.0_wp*x2 + &
- 56448000.0_wp*x3 - 47206049.0_wp ) / 5219996.0_wp
- q(6,4) = 3.0_wp * ( -19353600.0_wp*x1 - 50803200.0_wp*x2 + &
- 7628371.0_wp ) / 2609998.0_wp
- q(7,4) = 2.0_wp * ( 10886400.0_wp*x1 - 114307200.0_wp*x3 + &
- 79048289.0_wp ) / 3914997.0_wp
- q(8,4) = 75.0_wp * ( 1354752.0_wp*x2 + 5419008.0_wp*x3 - &
- 3952831.0_wp ) / 18269986.0_wp
- q(9,4) = zero; q(10,4) = zero; q(11,4) = zero; q(12,4) = zero
-
- q(1,5) = 3.0_wp * ( 16934400.0_wp*x1 + 67737600.0_wp*x2 + &
- 84672000.0_wp*x3 - 67906303.0_wp ) / 2096689.0_wp
- q(2,5) = 7.0_wp * ( -55987200.0_wp*x1 - 217728000.0_wp*x2 - &
- 261273600.0_wp*x3 + 211102099.0_wp ) / 3594324.0_wp
- q(3,5) = 3.0_wp * ( 72576000.0_wp*x1 + 270950400.0_wp*x2 + &
- 304819200.0_wp*x3 - 249289259.0_wp ) / 1198108.0_wp
- q(4,5) = 9.0_wp * ( -16128000.0_wp*x1 - 56448000.0_wp*x2 - &
- 56448000.0_wp*x3 + 47206049.0_wp ) / 1198108.0_wp
- q(5,5) = zero
- q(6,5) = 105.0_wp * ( 414720.0_wp*x1 + 967680.0_wp*x2 - &
- 165527.0_wp ) / 1198108.0_wp
- q(7,5) = 15.0_wp * ( -967680.0_wp*x1 + 6773760.0_wp*x3 - &
- 4472029.0_wp ) / 1198108.0_wp
- q(8,5) = ( -304819200.0_wp*x2 - 914457600.0_wp*x3 + &
- 657798011.0_wp ) / 25160268.0_wp
- q(9,5) = -2592.0_wp/299527.0_wp;
- q(10,5) = zero; q(11,5) = zero; q(12,5) = zero
-
- q(1,6) = 5.0_wp * ( -967680.0_wp*x1 - 2903040.0_wp*x2 + &
- 305821.0_wp ) / 1237164.0_wp
- q(2,6) = ( 11612160.0_wp*x1 + 33868800.0_wp*x2 - &
- 3884117.0_wp ) / 618582.0_wp
- q(3,6) = 9.0_wp * ( -806400.0_wp*x1 - 2257920.0_wp*x2 + &
- 290167.0_wp ) / 206194.0_wp
- q(4,6) = ( 19353600.0_wp*x1 + 50803200.0_wp*x2 - &
- 7628371.0_wp ) / 618582.0_wp
- q(5,6) = 35.0_wp * ( -414720.0_wp*x1 - 967680.0_wp*x2 + &
- 165527.0_wp ) / 1237164.0_wp
- q(6,6) = zero; q(7,6) = 80640.0_wp*x1 / 103097.0_wp
- q(8,6) = 80640.0_wp*x2 / 103097.0_wp; q(9,6) = 3072.0_wp / 103097.0_wp
- q(10,6) = -288.0_wp/103097.0_wp; q(11,6) = zero; q(12,6) = zero
-
- q(1,7) = 7.0_wp * ( 1244160.0_wp*x1 - 18662400.0_wp*x3 + &
- 13322233.0_wp ) / 8041092.0_wp
- q(2,7) = 150.0_wp * ( -24192.0_wp*x1 + 338688.0_wp*x3 - &
- 240463.0_wp ) / 670091.0_wp
- q(3,7) = 54.0_wp * ( 134400.0_wp*x1 - 1693440.0_wp*x3 + &
- 1191611.0_wp ) / 670091.0_wp
- q(4,7) = 2.0_wp * ( -10886400.0_wp*x1 + 114307200.0_wp*x3 - &
- 79048289.0_wp ) / 2010273.0_wp
- q(5,7) = 15.0_wp * ( 967680.0_wp*x1 - 6773760.0_wp*x3 + &
- 4472029.0_wp ) / 2680364.0_wp
- q(6,7) = -725760.0_wp*x1 / 670091.0_wp; q(7,7) = zero
- q(8,7) = 725760.0_wp*x3 / 670091.0_wp; q(9,7) = -145152.0_wp/670091.0_wp
- q(10,7) = 27648.0_wp/670091.0_wp; q(11,7) = -2592.0_wp/670091.0_wp
- q(12,7) = zero
-
- q(1,8) = 3.0_wp * ( 6773760.0_wp*x2 + 33868800.0_wp*x3 - &
- 24839327.0_wp ) / 20510956.0_wp
- q(2,8) = ( -152409600.0_wp*x2 - 731566080.0_wp*x3 + &
- 536324953.0_wp ) / 30766434.0_wp
- q(3,8) = 45.0_wp * ( 2257920.0_wp*x2 + 10160640.0_wp*x3 - &
- 7439833.0_wp ) / 10255478.0_wp
- q(4,8) = 75.0_wp * ( -1354752.0_wp*x2 - 5419008.0_wp*x3 + &
- 3952831.0_wp ) / 10255478.0_wp
- q(5,8) = ( 304819200.0_wp*x2 + 914457600.0_wp*x3 - &
- 657798011.0_wp ) / 61532868.0_wp
- q(6,8) = -5080320.0_wp*x2 / 5127739.0_wp
- q(7,8) = -5080320.0_wp*x3 / 5127739.0_wp; q(8,8) = zero
- q(9,8) = 4064256.0_wp/5127739.0_wp; q(10,8) = -1016064.0_wp/5127739.0_wp
- q(11,8) = 193536.0_wp/5127739.0_wp; q(12,8) = -18144.0_wp/5127739.0_wp
-
+ call coeffs_1_8_4 ( a, q )
first = .false.
end if