diff options
Diffstat (limited to 'src/GeneralizedPolynomial-Uniform/3d.maple')
| -rw-r--r-- | src/GeneralizedPolynomial-Uniform/3d.maple | 702 |
1 files changed, 0 insertions, 702 deletions
diff --git a/src/GeneralizedPolynomial-Uniform/3d.maple b/src/GeneralizedPolynomial-Uniform/3d.maple deleted file mode 100644 index 4ec2b2e..0000000 --- a/src/GeneralizedPolynomial-Uniform/3d.maple +++ /dev/null @@ -1,702 +0,0 @@ -# Maple code to compute 3-D Lagrange interpolation coefficients (orders 1-4) -# $Id$ - -################################################################################ - -# -# interpolating functions -# - -fn_3d_order1 := -proc(x,y,z) -# z^0 ----------- -+ c010*y -+ c000 + c100*x -# z^1 ----------- -+ c001*z -end proc; - -fn_3d_order2 := -proc(x,y,z) -# z^0 -------------------------- -+ c020*y^2 -+ c010*y + c110*x*y -+ c000 + c100*x + c200*x^2 -# z^1 -------------------------- -+ c011*y*z -+ c001*z + c101*x*z -# z^2 -------------------------- -+ c002*z^2 -end proc; - -fn_3d_order3 := -proc(x,y,z) -# z^0 ------------------------------------------- -+ c030*y^3 -+ c020*y^2 + c120*x*y^2 -+ c010*y + c110*x*y + c210*x^2*y -+ c000 + c100*x + c200*x^2 + c300*x^3 -# z^1 ------------------------------------------- -+ c021*y^2*z -+ c011*y *z + c111*x*y*z -+ c001 *z + c101*x *z + c201*x^2*z -# z^2 ------------------------------------------- -+ c012*y*z^2 -+ c002 *z^2 + c102*x*z^2 -# z^3 ------------------------------------------- -+ c003 *z^3 -end proc; - -fn_3d_order4 := -proc(x,y,z) -# z^0 -------------------------------------------------------- -+ c040*y^4 -+ c030*y^3 + c130*x*y^3 -+ c020*y^2 + c120*x*y^2 + c220*x^2*y^2 -+ c010*y + c110*x*y + c210*x^2*y + c310*x^3*y -+ c000 + c100*x + c200*x^2 + c300*x^3 + c400*x^4 -# z^1 ------------------------------------------- -+ c031*y^3*z -+ c021*y^2*z + c121*x*y^2*z -+ c011*y *z + c111*x*y *z + c211*x^2*y*z -+ c001 *z + c101*x *z + c201*x^2 *z + c301*x^3*z -# z^2 ------------------------------------------- -+ c022*y^2*z^2 -+ c012*y *z^2 + c112*x*y*z^2 -+ c002 *z^2 + c102*x *z^2 + c202*x^2*z^2 -# z^3 ------------------------------------------- -+ c013*y *z^3 -+ c003 *z^3 + c103*x *z^3 -# z^4 ------------------------------------------- -+ c004 *z^4 -end; - -################################################################################ - -# -# coefficients in interpolating functions -# - -coeff_list_3d_order1 := [ - # z^0 ----- - c010, - c000, c100, - # z^1 ----- - c001 - ]; -coeff_list_3d_order2 := [ - # z^0 ----------- - c020, - c010, c110, - c000, c100, c200, - # z^1 ----------- - c011, - c001, c101, - # z^2 ----------- - c002 - ]; -coeff_list_3d_order3 := [ - # z^0 ---------------- - c030, - c020, c120, - c010, c110, c210, - c000, c100, c200, c300, - # z^1 ---------------- - c021, - c011, c111, - c001, c101, c201, - # z^2 ---------------- - c012, - c002, c102, - # z^3 ---------------- - c003 - ]; -coeff_list_3d_order4 := [ - # z^0 ----------------------- - c040, - c030, c130, - c020, c120, c220, - c010, c110, c210, c310, - c000, c100, c200, c300, c400, - # z^1 ----------------------- - c031, - c021, c121, - c011, c111, c211, - c001, c101, c201, c301, - # z^2 ----------------------- - c022, - c012, c112, - c002, c102, c202, - # z^3 ----------------------- - c013, - c003, c103, - # z^4 ----------------------- - c004 - ]; - -################################################################################ - -# -# coordinates and interpolation points -# - -coord_list_3d := [x,y,z]; - -# generate points in Fortran ordering -posn_list_3d_size2 := map(ListTools[Reverse], - hypercube_points([ 0, 0, 0], [+1,+1,+1])); -posn_list_3d_size3 := map(ListTools[Reverse], - hypercube_points([-1,-1,-1], [+1,+1,+1])); -posn_list_3d_size4 := map(ListTools[Reverse], - hypercube_points([-1,-1,-1], [+2,+2,+2])); -posn_list_3d_size5 := map(ListTools[Reverse], - hypercube_points([-2,-2,-2], [+2,+2,+2])); - -################################################################################ - -# -# generic stuff for 3d, cube, size=2 -# - -data_var_list_3d_size2 := map(data_var_name, posn_list_3d_size2, "data_"); - -print_name_list_dcl(data_var_list_3d_size2, "fp", - "3d.coeffs/3d.cube.size2/data-var.dcl.c"); -print_data_var_assign(posn_list_3d_size2, "data_", - "3d.coeffs/3d.cube.size2/data-var.assign.c"); - -print_interp_coeff_var_store(posn_list_3d_size2, "", "coeff_I_", - "3d.coeffs/3d.cube.size2/coeff-I.store.c"); -print_interp_coeff_var_store(posn_list_3d_size2, "factor", "coeff_dx_", - "3d.coeffs/3d.cube.size2/coeff-dx.store.c"); -print_interp_coeff_var_store(posn_list_3d_size2, "factor", "coeff_dy_", - "3d.coeffs/3d.cube.size2/coeff-dy.store.c"); -print_interp_coeff_var_store(posn_list_3d_size2, "factor", "coeff_dz_", - "3d.coeffs/3d.cube.size2/coeff-dz.store.c"); - -print_name_list_dcl(map(coeff_name, posn_list_3d_size2, "coeff_I_"), "fp", - "3d.coeffs/3d.cube.size2/coeff-I.dcl.c"); -print_name_list_dcl(map(coeff_name, posn_list_3d_size2, "coeff_dx_"), "fp", - "3d.coeffs/3d.cube.size2/coeff-dx.dcl.c"); -print_name_list_dcl(map(coeff_name, posn_list_3d_size2, "coeff_dy_"), "fp", - "3d.coeffs/3d.cube.size2/coeff-dy.dcl.c"); -print_name_list_dcl(map(coeff_name, posn_list_3d_size2, "coeff_dz_"), "fp", - "3d.coeffs/3d.cube.size2/coeff-dz.dcl.c"); - -print_interp_cmpt__lc_of_data(posn_list_3d_size2, - "result", "coeff_I_", "data_", - "3d.coeffs/3d.cube.size2/interp-I.compute.c"); -print_interp_cmpt__lc_of_data(posn_list_3d_size2, - "result", "coeff_dx_", "data_", - "3d.coeffs/3d.cube.size2/interp-dx.compute.c"); -print_interp_cmpt__lc_of_data(posn_list_3d_size2, - "result", "coeff_dy_", "data_", - "3d.coeffs/3d.cube.size2/interp-dy.compute.c"); -print_interp_cmpt__lc_of_data(posn_list_3d_size2, - "result", "coeff_dz_", "data_", - "3d.coeffs/3d.cube.size2/interp-dz.compute.c"); - -######################################## - -# -# generic stuff for 3d, cube, size=3 -# - -data_var_list_3d_size3 := map(data_var_name, posn_list_3d_size3, "data_"); - -print_name_list_dcl(data_var_list_3d_size3, "fp", - "3d.coeffs/3d.cube.size3/data-var.dcl.c"); -print_data_var_assign(posn_list_3d_size3, "data_", - "3d.coeffs/3d.cube.size3/data-var.assign.c"); - -print_interp_coeff_var_store(posn_list_3d_size3, "", "coeff_I_", - "3d.coeffs/3d.cube.size3/coeff-I.store.c"); -print_interp_coeff_var_store(posn_list_3d_size3, "factor", "coeff_dx_", - "3d.coeffs/3d.cube.size3/coeff-dx.store.c"); -print_interp_coeff_var_store(posn_list_3d_size3, "factor", "coeff_dy_", - "3d.coeffs/3d.cube.size3/coeff-dy.store.c"); -print_interp_coeff_var_store(posn_list_3d_size3, "factor", "coeff_dz_", - "3d.coeffs/3d.cube.size3/coeff-dz.store.c"); -print_interp_coeff_var_store(posn_list_3d_size3, "factor", "coeff_dxx_", - "3d.coeffs/3d.cube.size3/coeff-dxx.store.c"); -print_interp_coeff_var_store(posn_list_3d_size3, "factor", "coeff_dxy_", - "3d.coeffs/3d.cube.size3/coeff-dxy.store.c"); -print_interp_coeff_var_store(posn_list_3d_size3, "factor", "coeff_dxz_", - "3d.coeffs/3d.cube.size3/coeff-dxz.store.c"); -print_interp_coeff_var_store(posn_list_3d_size3, "factor", "coeff_dyy_", - "3d.coeffs/3d.cube.size3/coeff-dyy.store.c"); -print_interp_coeff_var_store(posn_list_3d_size3, "factor", "coeff_dyz_", - "3d.coeffs/3d.cube.size3/coeff-dyz.store.c"); -print_interp_coeff_var_store(posn_list_3d_size3, "factor", "coeff_dzz_", - "3d.coeffs/3d.cube.size3/coeff-dzz.store.c"); - -print_name_list_dcl(map(coeff_name, posn_list_3d_size3, "coeff_I_"), "fp", - "3d.coeffs/3d.cube.size3/coeff-I.dcl.c"); -print_name_list_dcl(map(coeff_name, posn_list_3d_size3, "coeff_dx_"), "fp", - "3d.coeffs/3d.cube.size3/coeff-dx.dcl.c"); -print_name_list_dcl(map(coeff_name, posn_list_3d_size3, "coeff_dy_"), "fp", - "3d.coeffs/3d.cube.size3/coeff-dy.dcl.c"); -print_name_list_dcl(map(coeff_name, posn_list_3d_size3, "coeff_dz_"), "fp", - "3d.coeffs/3d.cube.size3/coeff-dz.dcl.c"); -print_name_list_dcl(map(coeff_name, posn_list_3d_size3, "coeff_dxx_"), "fp", - "3d.coeffs/3d.cube.size3/coeff-dxx.dcl.c"); -print_name_list_dcl(map(coeff_name, posn_list_3d_size3, "coeff_dxy_"), "fp", - "3d.coeffs/3d.cube.size3/coeff-dxy.dcl.c"); -print_name_list_dcl(map(coeff_name, posn_list_3d_size3, "coeff_dxz_"), "fp", - "3d.coeffs/3d.cube.size3/coeff-dxz.dcl.c"); -print_name_list_dcl(map(coeff_name, posn_list_3d_size3, "coeff_dyy_"), "fp", - "3d.coeffs/3d.cube.size3/coeff-dyy.dcl.c"); -print_name_list_dcl(map(coeff_name, posn_list_3d_size3, "coeff_dyz_"), "fp", - "3d.coeffs/3d.cube.size3/coeff-dyz.dcl.c"); -print_name_list_dcl(map(coeff_name, posn_list_3d_size3, "coeff_dzz_"), "fp", - "3d.coeffs/3d.cube.size3/coeff-dzz.dcl.c"); - -print_interp_cmpt__lc_of_data(posn_list_3d_size3, - "result", "coeff_I_", "data_", - "3d.coeffs/3d.cube.size3/interp-I.compute.c"); -print_interp_cmpt__lc_of_data(posn_list_3d_size3, - "result", "coeff_dx_", "data_", - "3d.coeffs/3d.cube.size3/interp-dx.compute.c"); -print_interp_cmpt__lc_of_data(posn_list_3d_size3, - "result", "coeff_dy_", "data_", - "3d.coeffs/3d.cube.size3/interp-dy.compute.c"); -print_interp_cmpt__lc_of_data(posn_list_3d_size3, - "result", "coeff_dz_", "data_", - "3d.coeffs/3d.cube.size3/interp-dz.compute.c"); -print_interp_cmpt__lc_of_data(posn_list_3d_size3, - "result", "coeff_dxx_", "data_", - "3d.coeffs/3d.cube.size3/interp-dxx.compute.c"); -print_interp_cmpt__lc_of_data(posn_list_3d_size3, - "result", "coeff_dxy_", "data_", - "3d.coeffs/3d.cube.size3/interp-dxy.compute.c"); -print_interp_cmpt__lc_of_data(posn_list_3d_size3, - "result", "coeff_dxz_", "data_", - "3d.coeffs/3d.cube.size3/interp-dxz.compute.c"); -print_interp_cmpt__lc_of_data(posn_list_3d_size3, - "result", "coeff_dyy_", "data_", - "3d.coeffs/3d.cube.size3/interp-dyy.compute.c"); -print_interp_cmpt__lc_of_data(posn_list_3d_size3, - "result", "coeff_dyz_", "data_", - "3d.coeffs/3d.cube.size3/interp-dyz.compute.c"); -print_interp_cmpt__lc_of_data(posn_list_3d_size3, - "result", "coeff_dzz_", "data_", - "3d.coeffs/3d.cube.size3/interp-dzz.compute.c"); - -######################################## - -# -# generic stuff for 3d, cube, size=4 -# - -data_var_list_3d_size4 := map(data_var_name, posn_list_3d_size4, "data_"); - -print_name_list_dcl(data_var_list_3d_size4, "fp", - "3d.coeffs/3d.cube.size4/data-var.dcl.c"); -print_data_var_assign(posn_list_3d_size4, "data_", - "3d.coeffs/3d.cube.size4/data-var.assign.c"); - -print_interp_coeff_var_store(posn_list_3d_size4, "", "coeff_I_", - "3d.coeffs/3d.cube.size4/coeff-I.store.c"); -print_interp_coeff_var_store(posn_list_3d_size4, "factor", "coeff_dx_", - "3d.coeffs/3d.cube.size4/coeff-dx.store.c"); -print_interp_coeff_var_store(posn_list_3d_size4, "factor", "coeff_dy_", - "3d.coeffs/3d.cube.size4/coeff-dy.store.c"); -print_interp_coeff_var_store(posn_list_3d_size4, "factor", "coeff_dz_", - "3d.coeffs/3d.cube.size4/coeff-dz.store.c"); -print_interp_coeff_var_store(posn_list_3d_size4, "factor", "coeff_dxx_", - "3d.coeffs/3d.cube.size4/coeff-dxx.store.c"); -print_interp_coeff_var_store(posn_list_3d_size4, "factor", "coeff_dxy_", - "3d.coeffs/3d.cube.size4/coeff-dxy.store.c"); -print_interp_coeff_var_store(posn_list_3d_size4, "factor", "coeff_dxz_", - "3d.coeffs/3d.cube.size4/coeff-dxz.store.c"); -print_interp_coeff_var_store(posn_list_3d_size4, "factor", "coeff_dyy_", - "3d.coeffs/3d.cube.size4/coeff-dyy.store.c"); -print_interp_coeff_var_store(posn_list_3d_size4, "factor", "coeff_dyz_", - "3d.coeffs/3d.cube.size4/coeff-dyz.store.c"); -print_interp_coeff_var_store(posn_list_3d_size4, "factor", "coeff_dzz_", - "3d.coeffs/3d.cube.size4/coeff-dzz.store.c"); - -print_name_list_dcl(map(coeff_name, posn_list_3d_size4, "coeff_I_"), "fp", - "3d.coeffs/3d.cube.size4/coeff-I.dcl.c"); -print_name_list_dcl(map(coeff_name, posn_list_3d_size4, "coeff_dx_"), "fp", - "3d.coeffs/3d.cube.size4/coeff-dx.dcl.c"); -print_name_list_dcl(map(coeff_name, posn_list_3d_size4, "coeff_dy_"), "fp", - "3d.coeffs/3d.cube.size4/coeff-dy.dcl.c"); -print_name_list_dcl(map(coeff_name, posn_list_3d_size4, "coeff_dz_"), "fp", - "3d.coeffs/3d.cube.size4/coeff-dz.dcl.c"); -print_name_list_dcl(map(coeff_name, posn_list_3d_size4, "coeff_dxx_"), "fp", - "3d.coeffs/3d.cube.size4/coeff-dxx.dcl.c"); -print_name_list_dcl(map(coeff_name, posn_list_3d_size4, "coeff_dxy_"), "fp", - "3d.coeffs/3d.cube.size4/coeff-dxy.dcl.c"); -print_name_list_dcl(map(coeff_name, posn_list_3d_size4, "coeff_dxz_"), "fp", - "3d.coeffs/3d.cube.size4/coeff-dxz.dcl.c"); -print_name_list_dcl(map(coeff_name, posn_list_3d_size4, "coeff_dyy_"), "fp", - "3d.coeffs/3d.cube.size4/coeff-dyy.dcl.c"); -print_name_list_dcl(map(coeff_name, posn_list_3d_size4, "coeff_dyz_"), "fp", - "3d.coeffs/3d.cube.size4/coeff-dyz.dcl.c"); -print_name_list_dcl(map(coeff_name, posn_list_3d_size4, "coeff_dzz_"), "fp", - "3d.coeffs/3d.cube.size4/coeff-dzz.dcl.c"); - -print_interp_cmpt__lc_of_data(posn_list_3d_size4, - "result", "coeff_I_", "data_", - "3d.coeffs/3d.cube.size4/interp-I.compute.c"); -print_interp_cmpt__lc_of_data(posn_list_3d_size4, - "result", "coeff_dx_", "data_", - "3d.coeffs/3d.cube.size4/interp-dx.compute.c"); -print_interp_cmpt__lc_of_data(posn_list_3d_size4, - "result", "coeff_dy_", "data_", - "3d.coeffs/3d.cube.size4/interp-dy.compute.c"); -print_interp_cmpt__lc_of_data(posn_list_3d_size4, - "result", "coeff_dz_", "data_", - "3d.coeffs/3d.cube.size4/interp-dz.compute.c"); -print_interp_cmpt__lc_of_data(posn_list_3d_size4, - "result", "coeff_dxx_", "data_", - "3d.coeffs/3d.cube.size4/interp-dxx.compute.c"); -print_interp_cmpt__lc_of_data(posn_list_3d_size4, - "result", "coeff_dxy_", "data_", - "3d.coeffs/3d.cube.size4/interp-dxy.compute.c"); -print_interp_cmpt__lc_of_data(posn_list_3d_size4, - "result", "coeff_dxz_", "data_", - "3d.coeffs/3d.cube.size4/interp-dxz.compute.c"); -print_interp_cmpt__lc_of_data(posn_list_3d_size4, - "result", "coeff_dyy_", "data_", - "3d.coeffs/3d.cube.size4/interp-dyy.compute.c"); -print_interp_cmpt__lc_of_data(posn_list_3d_size4, - "result", "coeff_dyz_", "data_", - "3d.coeffs/3d.cube.size4/interp-dyz.compute.c"); -print_interp_cmpt__lc_of_data(posn_list_3d_size4, - "result", "coeff_dzz_", "data_", - "3d.coeffs/3d.cube.size4/interp-dzz.compute.c"); - -######################################## - -# -# generic stuff for 3d, cube, size=5 -# - -data_var_list_3d_size5 := map(data_var_name, posn_list_3d_size5, "data_"); - -print_name_list_dcl(data_var_list_3d_size5, "fp", - "3d.coeffs/3d.cube.size5/data-var.dcl.c"); -print_data_var_assign(posn_list_3d_size5, "data_", - "3d.coeffs/3d.cube.size5/data-var.assign.c"); - -print_interp_coeff_var_store(posn_list_3d_size5, "", "coeff_I_", - "3d.coeffs/3d.cube.size5/coeff-I.store.c"); -print_interp_coeff_var_store(posn_list_3d_size5, "factor", "coeff_dx_", - "3d.coeffs/3d.cube.size5/coeff-dx.store.c"); -print_interp_coeff_var_store(posn_list_3d_size5, "factor", "coeff_dy_", - "3d.coeffs/3d.cube.size5/coeff-dy.store.c"); -print_interp_coeff_var_store(posn_list_3d_size5, "factor", "coeff_dz_", - "3d.coeffs/3d.cube.size5/coeff-dz.store.c"); -print_interp_coeff_var_store(posn_list_3d_size5, "factor", "coeff_dxx_", - "3d.coeffs/3d.cube.size5/coeff-dxx.store.c"); -print_interp_coeff_var_store(posn_list_3d_size5, "factor", "coeff_dxy_", - "3d.coeffs/3d.cube.size5/coeff-dxy.store.c"); -print_interp_coeff_var_store(posn_list_3d_size5, "factor", "coeff_dxz_", - "3d.coeffs/3d.cube.size5/coeff-dxz.store.c"); -print_interp_coeff_var_store(posn_list_3d_size5, "factor", "coeff_dyy_", - "3d.coeffs/3d.cube.size5/coeff-dyy.store.c"); -print_interp_coeff_var_store(posn_list_3d_size5, "factor", "coeff_dyz_", - "3d.coeffs/3d.cube.size5/coeff-dyz.store.c"); -print_interp_coeff_var_store(posn_list_3d_size5, "factor", "coeff_dzz_", - "3d.coeffs/3d.cube.size5/coeff-dzz.store.c"); - -print_name_list_dcl(map(coeff_name, posn_list_3d_size5, "coeff_I_"), "fp", - "3d.coeffs/3d.cube.size5/coeff-I.dcl.c"); -print_name_list_dcl(map(coeff_name, posn_list_3d_size5, "coeff_dx_"), "fp", - "3d.coeffs/3d.cube.size5/coeff-dx.dcl.c"); -print_name_list_dcl(map(coeff_name, posn_list_3d_size5, "coeff_dy_"), "fp", - "3d.coeffs/3d.cube.size5/coeff-dy.dcl.c"); -print_name_list_dcl(map(coeff_name, posn_list_3d_size5, "coeff_dz_"), "fp", - "3d.coeffs/3d.cube.size5/coeff-dz.dcl.c"); -print_name_list_dcl(map(coeff_name, posn_list_3d_size5, "coeff_dxx_"), "fp", - "3d.coeffs/3d.cube.size5/coeff-dxx.dcl.c"); -print_name_list_dcl(map(coeff_name, posn_list_3d_size5, "coeff_dxy_"), "fp", - "3d.coeffs/3d.cube.size5/coeff-dxy.dcl.c"); -print_name_list_dcl(map(coeff_name, posn_list_3d_size5, "coeff_dxz_"), "fp", - "3d.coeffs/3d.cube.size5/coeff-dxz.dcl.c"); -print_name_list_dcl(map(coeff_name, posn_list_3d_size5, "coeff_dyy_"), "fp", - "3d.coeffs/3d.cube.size5/coeff-dyy.dcl.c"); -print_name_list_dcl(map(coeff_name, posn_list_3d_size5, "coeff_dyz_"), "fp", - "3d.coeffs/3d.cube.size5/coeff-dyz.dcl.c"); -print_name_list_dcl(map(coeff_name, posn_list_3d_size5, "coeff_dzz_"), "fp", - "3d.coeffs/3d.cube.size5/coeff-dzz.dcl.c"); - -print_interp_cmpt__lc_of_data(posn_list_3d_size5, - "result", "coeff_I_", "data_", - "3d.coeffs/3d.cube.size5/interp-I.compute.c"); -print_interp_cmpt__lc_of_data(posn_list_3d_size5, - "result", "coeff_dx_", "data_", - "3d.coeffs/3d.cube.size5/interp-dx.compute.c"); -print_interp_cmpt__lc_of_data(posn_list_3d_size5, - "result", "coeff_dy_", "data_", - "3d.coeffs/3d.cube.size5/interp-dy.compute.c"); -print_interp_cmpt__lc_of_data(posn_list_3d_size5, - "result", "coeff_dz_", "data_", - "3d.coeffs/3d.cube.size5/interp-dz.compute.c"); -print_interp_cmpt__lc_of_data(posn_list_3d_size5, - "result", "coeff_dxx_", "data_", - "3d.coeffs/3d.cube.size5/interp-dxx.compute.c"); -print_interp_cmpt__lc_of_data(posn_list_3d_size5, - "result", "coeff_dxy_", "data_", - "3d.coeffs/3d.cube.size5/interp-dxy.compute.c"); -print_interp_cmpt__lc_of_data(posn_list_3d_size5, - "result", "coeff_dxz_", "data_", - "3d.coeffs/3d.cube.size5/interp-dxz.compute.c"); -print_interp_cmpt__lc_of_data(posn_list_3d_size5, - "result", "coeff_dyy_", "data_", - "3d.coeffs/3d.cube.size5/interp-dyy.compute.c"); -print_interp_cmpt__lc_of_data(posn_list_3d_size5, - "result", "coeff_dyz_", "data_", - "3d.coeffs/3d.cube.size5/interp-dyz.compute.c"); -print_interp_cmpt__lc_of_data(posn_list_3d_size5, - "result", "coeff_dzz_", "data_", - "3d.coeffs/3d.cube.size5/interp-dzz.compute.c"); - - -################################################################################ - -# -# 3d, cube, order=1, smoothing=0 (size=2) -# - -# interpolating polynomial -interp_3d_cube_order1_smooth0 - := polynomial_interpolant(fn_3d_order1, coeff_list_3d_order1, - coord_list_3d, posn_list_3d_size2); - -# I -coeff_as_lc_of_data(%, posn_list_3d_size2); -print_coeff__lc_of_data(%, "coeff_I_", "fp", - "3d.coeffs/3d.cube.order1.smooth0/coeff-I.compute.c"); - -# d/dx -simplify( diff(interp_3d_cube_order1_smooth0,x) ); -coeff_as_lc_of_data(%, posn_list_3d_size2); -print_coeff__lc_of_data(%, "coeff_dx_", "fp", - "3d.coeffs/3d.cube.order1.smooth0/coeff-dx.compute.c"); - -# d/dy -simplify( diff(interp_3d_cube_order1_smooth0,y) ); -coeff_as_lc_of_data(%, posn_list_3d_size2); -print_coeff__lc_of_data(%, "coeff_dy_", "fp", - "3d.coeffs/3d.cube.order1.smooth0/coeff-dy.compute.c"); - -# d/dz -simplify( diff(interp_3d_cube_order1_smooth0,z) ); -coeff_as_lc_of_data(%, posn_list_3d_size2); -print_coeff__lc_of_data(%, "coeff_dz_", "fp", - "3d.coeffs/3d.cube.order1.smooth0/coeff-dz.compute.c"); - -######################################## - -# -# 3d, cube, order=2, smoothing=0 (size=3) -# - -# interpolating polynomial -interp_3d_cube_order2_smooth0 - := polynomial_interpolant(fn_3d_order2, coeff_list_3d_order2, - coord_list_3d, posn_list_3d_size3); - -# I -coeff_as_lc_of_data(%, posn_list_3d_size3); -print_coeff__lc_of_data(%, "coeff_I_", "fp", - "3d.coeffs/3d.cube.order2.smooth0/coeff-I.compute.c"); - -# d/dx -simplify( diff(interp_3d_cube_order2_smooth0,x) ); -coeff_as_lc_of_data(%, posn_list_3d_size3); -print_coeff__lc_of_data(%, "coeff_dx_", "fp", - "3d.coeffs/3d.cube.order2.smooth0/coeff-dx.compute.c"); - -# d/dy -simplify( diff(interp_3d_cube_order2_smooth0,y) ); -coeff_as_lc_of_data(%, posn_list_3d_size3); -print_coeff__lc_of_data(%, "coeff_dy_", "fp", - "3d.coeffs/3d.cube.order2.smooth0/coeff-dy.compute.c"); - -# d/dz -simplify( diff(interp_3d_cube_order2_smooth0,z) ); -coeff_as_lc_of_data(%, posn_list_3d_size3); -print_coeff__lc_of_data(%, "coeff_dz_", "fp", - "3d.coeffs/3d.cube.order2.smooth0/coeff-dz.compute.c"); - -# d^2/dx^2 -simplify( diff(interp_3d_cube_order2_smooth0,x,x) ); -coeff_as_lc_of_data(%, posn_list_3d_size3); -print_coeff__lc_of_data(%, "coeff_dxx_", "fp", - "3d.coeffs/3d.cube.order2.smooth0/coeff-dxx.compute.c"); - -# d^2/dxdy -simplify( diff(interp_3d_cube_order2_smooth0,x,y) ); -coeff_as_lc_of_data(%, posn_list_3d_size3); -print_coeff__lc_of_data(%, "coeff_dxy_", "fp", - "3d.coeffs/3d.cube.order2.smooth0/coeff-dxy.compute.c"); - -# d^2/dxdz -simplify( diff(interp_3d_cube_order2_smooth0,x,z) ); -coeff_as_lc_of_data(%, posn_list_3d_size3); -print_coeff__lc_of_data(%, "coeff_dxz_", "fp", - "3d.coeffs/3d.cube.order2.smooth0/coeff-dxz.compute.c"); - -# d^2/dy^2 -simplify( diff(interp_3d_cube_order2_smooth0,y,y) ); -coeff_as_lc_of_data(%, posn_list_3d_size3); -print_coeff__lc_of_data(%, "coeff_dyy_", "fp", - "3d.coeffs/3d.cube.order2.smooth0/coeff-dyy.compute.c"); - -# d^2/dydz -simplify( diff(interp_3d_cube_order2_smooth0,y,z) ); -coeff_as_lc_of_data(%, posn_list_3d_size3); -print_coeff__lc_of_data(%, "coeff_dyz_", "fp", - "3d.coeffs/3d.cube.order2.smooth0/coeff-dyz.compute.c"); - -# d^2/dz^2 -simplify( diff(interp_3d_cube_order2_smooth0,z,z) ); -coeff_as_lc_of_data(%, posn_list_3d_size3); -print_coeff__lc_of_data(%, "coeff_dzz_", "fp", - "3d.coeffs/3d.cube.order2.smooth0/coeff-dzz.compute.c"); - -######################################## - -# -# 3d, cube, order=3, smoothing=0 (size=4) -# - -# interpolating polynomial -interp_3d_cube_order3_smooth0 - := polynomial_interpolant(fn_3d_order3, coeff_list_3d_order3, - coord_list_3d, posn_list_3d_size4); - -# I -coeff_as_lc_of_data(%, posn_list_3d_size4); -print_coeff__lc_of_data(%, "coeff_I_", "fp", - "3d.coeffs/3d.cube.order3.smooth0/coeff-I.compute.c"); - -# d/dx -simplify( diff(interp_3d_cube_order3_smooth0,x) ); -coeff_as_lc_of_data(%, posn_list_3d_size4); -print_coeff__lc_of_data(%, "coeff_dx_", "fp", - "3d.coeffs/3d.cube.order3.smooth0/coeff-dx.compute.c"); - -# d/dy -simplify( diff(interp_3d_cube_order3_smooth0,y) ); -coeff_as_lc_of_data(%, posn_list_3d_size4); -print_coeff__lc_of_data(%, "coeff_dy_", "fp", - "3d.coeffs/3d.cube.order3.smooth0/coeff-dy.compute.c"); - -# d/dz -simplify( diff(interp_3d_cube_order3_smooth0,z) ); -coeff_as_lc_of_data(%, posn_list_3d_size4); -print_coeff__lc_of_data(%, "coeff_dz_", "fp", - "3d.coeffs/3d.cube.order3.smooth0/coeff-dz.compute.c"); - -# d^2/dx^2 -simplify( diff(interp_3d_cube_order3_smooth0,x,x) ); -coeff_as_lc_of_data(%, posn_list_3d_size4); -print_coeff__lc_of_data(%, "coeff_dxx_", "fp", - "3d.coeffs/3d.cube.order3.smooth0/coeff-dxx.compute.c"); - -# d^2/dxdy -simplify( diff(interp_3d_cube_order3_smooth0,x,y) ); -coeff_as_lc_of_data(%, posn_list_3d_size4); -print_coeff__lc_of_data(%, "coeff_dxy_", "fp", - "3d.coeffs/3d.cube.order3.smooth0/coeff-dxy.compute.c"); - -# d^2/dxdz -simplify( diff(interp_3d_cube_order3_smooth0,x,z) ); -coeff_as_lc_of_data(%, posn_list_3d_size4); -print_coeff__lc_of_data(%, "coeff_dxz_", "fp", - "3d.coeffs/3d.cube.order3.smooth0/coeff-dxz.compute.c"); - -# d^2/dy^2 -simplify( diff(interp_3d_cube_order3_smooth0,y,y) ); -coeff_as_lc_of_data(%, posn_list_3d_size4); -print_coeff__lc_of_data(%, "coeff_dyy_", "fp", - "3d.coeffs/3d.cube.order3.smooth0/coeff-dyy.compute.c"); - -# d^2/dydz -simplify( diff(interp_3d_cube_order3_smooth0,y,z) ); -coeff_as_lc_of_data(%, posn_list_3d_size4); -print_coeff__lc_of_data(%, "coeff_dyz_", "fp", - "3d.coeffs/3d.cube.order3.smooth0/coeff-dyz.compute.c"); - -# d^2/dz^2 -simplify( diff(interp_3d_cube_order3_smooth0,z,z) ); -coeff_as_lc_of_data(%, posn_list_3d_size4); -print_coeff__lc_of_data(%, "coeff_dzz_", "fp", - "3d.coeffs/3d.cube.order3.smooth0/coeff-dzz.compute.c"); - -######################################## - -# -# 3d, cube, order=4, smoothing=0 (size=5) -# - -# interpolating polynomial -interp_3d_cube_order4_smooth0 - := polynomial_interpolant(fn_3d_order4, coeff_list_3d_order4, - coord_list_3d, posn_list_3d_size5); - -# I -coeff_as_lc_of_data(%, posn_list_3d_size5); -print_coeff__lc_of_data(%, "coeff_I_", "fp", - "3d.coeffs/3d.cube.order4.smooth0/coeff-I.compute.c"); - -# d/dx -simplify( diff(interp_3d_cube_order4_smooth0,x) ); -coeff_as_lc_of_data(%, posn_list_3d_size5); -print_coeff__lc_of_data(%, "coeff_dx_", "fp", - "3d.coeffs/3d.cube.order4.smooth0/coeff-dx.compute.c"); - -# d/dy -simplify( diff(interp_3d_cube_order4_smooth0,y) ); -coeff_as_lc_of_data(%, posn_list_3d_size5); -print_coeff__lc_of_data(%, "coeff_dy_", "fp", - "3d.coeffs/3d.cube.order4.smooth0/coeff-dy.compute.c"); - -# d/dz -simplify( diff(interp_3d_cube_order4_smooth0,z) ); -coeff_as_lc_of_data(%, posn_list_3d_size5); -print_coeff__lc_of_data(%, "coeff_dz_", "fp", - "3d.coeffs/3d.cube.order4.smooth0/coeff-dz.compute.c"); - -# d^2/dx^2 -simplify( diff(interp_3d_cube_order4_smooth0,x,x) ); -coeff_as_lc_of_data(%, posn_list_3d_size5); -print_coeff__lc_of_data(%, "coeff_dxx_", "fp", - "3d.coeffs/3d.cube.order4.smooth0/coeff-dxx.compute.c"); - -# d^2/dxdy -simplify( diff(interp_3d_cube_order4_smooth0,x,y) ); -coeff_as_lc_of_data(%, posn_list_3d_size5); -print_coeff__lc_of_data(%, "coeff_dxy_", "fp", - "3d.coeffs/3d.cube.order4.smooth0/coeff-dxy.compute.c"); - -# d^2/dxdz -simplify( diff(interp_3d_cube_order4_smooth0,x,z) ); -coeff_as_lc_of_data(%, posn_list_3d_size5); -print_coeff__lc_of_data(%, "coeff_dxz_", "fp", - "3d.coeffs/3d.cube.order4.smooth0/coeff-dxz.compute.c"); - -# d^2/dy^2 -simplify( diff(interp_3d_cube_order4_smooth0,y,y) ); -coeff_as_lc_of_data(%, posn_list_3d_size5); -print_coeff__lc_of_data(%, "coeff_dyy_", "fp", - "3d.coeffs/3d.cube.order4.smooth0/coeff-dyy.compute.c"); - -# d^2/dydz -simplify( diff(interp_3d_cube_order4_smooth0,y,z) ); -coeff_as_lc_of_data(%, posn_list_3d_size5); -print_coeff__lc_of_data(%, "coeff_dyz_", "fp", - "3d.coeffs/3d.cube.order4.smooth0/coeff-dyz.compute.c"); - -# d^2/dz^2 -simplify( diff(interp_3d_cube_order4_smooth0,z,z) ); -coeff_as_lc_of_data(%, posn_list_3d_size5); -print_coeff__lc_of_data(%, "coeff_dzz_", "fp", - "3d.coeffs/3d.cube.order4.smooth0/coeff-dzz.compute.c"); - -######################################## |