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-rw-r--r--src/GeneralizedPolynomial-Uniform/Lagrange-tensor-product/3d.maple248
1 files changed, 0 insertions, 248 deletions
diff --git a/src/GeneralizedPolynomial-Uniform/Lagrange-tensor-product/3d.maple b/src/GeneralizedPolynomial-Uniform/Lagrange-tensor-product/3d.maple
deleted file mode 100644
index 5d44fb2..0000000
--- a/src/GeneralizedPolynomial-Uniform/Lagrange-tensor-product/3d.maple
+++ /dev/null
@@ -1,248 +0,0 @@
-# 3d.maple -- compute Lagrange interpolation coefficients in 3-D
-# $Header$
-
-################################################################################
-
-#
-# 3d, cube, order=1, smoothing=0 (size=2)
-#
-
-# interpolating polynomial
-interp_3d_cube_order1_smooth0
- := Lagrange_polynomial_interpolant(fn_3d_order1, coeffs_list_3d_order1,
- coords_list_3d, posn_list_3d_size2);
-
-# I
-coeffs_as_lc_of_data(%, posn_list_3d_size2);
-print_coeffs__lc_of_data(%, "coeffs_I->coeff_", "fp",
- "3d.coeffs/3d.cube.order1.smooth0/coeffs-I.compute.c");
-
-# d/dx
-simplify( diff(interp_3d_cube_order1_smooth0,x) );
-coeffs_as_lc_of_data(%, posn_list_3d_size2);
-print_coeffs__lc_of_data(%, "coeffs_dx->coeff_", "fp",
- "3d.coeffs/3d.cube.order1.smooth0/coeffs-dx.compute.c");
-
-# d/dy
-simplify( diff(interp_3d_cube_order1_smooth0,y) );
-coeffs_as_lc_of_data(%, posn_list_3d_size2);
-print_coeffs__lc_of_data(%, "coeffs_dy->coeff_", "fp",
- "3d.coeffs/3d.cube.order1.smooth0/coeffs-dy.compute.c");
-
-# d/dz
-simplify( diff(interp_3d_cube_order1_smooth0,z) );
-coeffs_as_lc_of_data(%, posn_list_3d_size2);
-print_coeffs__lc_of_data(%, "coeffs_dz->coeff_", "fp",
- "3d.coeffs/3d.cube.order1.smooth0/coeffs-dz.compute.c");
-
-################################################################################
-
-#
-# 3d, cube, order=2, smoothing=0 (size=3)
-#
-
-# interpolating polynomial
-interp_3d_cube_order2_smooth0
- := Lagrange_polynomial_interpolant(fn_3d_order2, coeffs_list_3d_order2,
- coords_list_3d, posn_list_3d_size3);
-
-# I
-coeffs_as_lc_of_data(%, posn_list_3d_size3);
-print_coeffs__lc_of_data(%, "coeffs_I->coeff_", "fp",
- "3d.coeffs/3d.cube.order2.smooth0/coeffs-I.compute.c");
-
-# d/dx
-simplify( diff(interp_3d_cube_order2_smooth0,x) );
-coeffs_as_lc_of_data(%, posn_list_3d_size3);
-print_coeffs__lc_of_data(%, "coeffs_dx->coeff_", "fp",
- "3d.coeffs/3d.cube.order2.smooth0/coeffs-dx.compute.c");
-
-# d/dy
-simplify( diff(interp_3d_cube_order2_smooth0,y) );
-coeffs_as_lc_of_data(%, posn_list_3d_size3);
-print_coeffs__lc_of_data(%, "coeffs_dy->coeff_", "fp",
- "3d.coeffs/3d.cube.order2.smooth0/coeffs-dy.compute.c");
-
-# d/dz
-simplify( diff(interp_3d_cube_order2_smooth0,z) );
-coeffs_as_lc_of_data(%, posn_list_3d_size3);
-print_coeffs__lc_of_data(%, "coeffs_dz->coeff_", "fp",
- "3d.coeffs/3d.cube.order2.smooth0/coeffs-dz.compute.c");
-
-# d^2/dx^2
-simplify( diff(interp_3d_cube_order2_smooth0,x,x) );
-coeffs_as_lc_of_data(%, posn_list_3d_size3);
-print_coeffs__lc_of_data(%, "coeffs_dxx->coeff_", "fp",
- "3d.coeffs/3d.cube.order2.smooth0/coeffs-dxx.compute.c");
-
-# d^2/dxdy
-simplify( diff(interp_3d_cube_order2_smooth0,x,y) );
-coeffs_as_lc_of_data(%, posn_list_3d_size3);
-print_coeffs__lc_of_data(%, "coeffs_dxy->coeff_", "fp",
- "3d.coeffs/3d.cube.order2.smooth0/coeffs-dxy.compute.c");
-
-# d^2/dxdz
-simplify( diff(interp_3d_cube_order2_smooth0,x,z) );
-coeffs_as_lc_of_data(%, posn_list_3d_size3);
-print_coeffs__lc_of_data(%, "coeffs_dxz->coeff_", "fp",
- "3d.coeffs/3d.cube.order2.smooth0/coeffs-dxz.compute.c");
-
-# d^2/dy^2
-simplify( diff(interp_3d_cube_order2_smooth0,y,y) );
-coeffs_as_lc_of_data(%, posn_list_3d_size3);
-print_coeffs__lc_of_data(%, "coeffs_dyy->coeff_", "fp",
- "3d.coeffs/3d.cube.order2.smooth0/coeffs-dyy.compute.c");
-
-# d^2/dydz
-simplify( diff(interp_3d_cube_order2_smooth0,y,z) );
-coeffs_as_lc_of_data(%, posn_list_3d_size3);
-print_coeffs__lc_of_data(%, "coeffs_dyz->coeff_", "fp",
- "3d.coeffs/3d.cube.order2.smooth0/coeffs-dyz.compute.c");
-
-# d^2/dz^2
-simplify( diff(interp_3d_cube_order2_smooth0,z,z) );
-coeffs_as_lc_of_data(%, posn_list_3d_size3);
-print_coeffs__lc_of_data(%, "coeffs_dzz->coeff_", "fp",
- "3d.coeffs/3d.cube.order2.smooth0/coeffs-dzz.compute.c");
-
-################################################################################
-
-#
-# 3d, cube, order=3, smoothing=0 (size=4)
-#
-
-# interpolating polynomial
-interp_3d_cube_order3_smooth0
- := Lagrange_polynomial_interpolant(fn_3d_order3, coeffs_list_3d_order3,
- coords_list_3d, posn_list_3d_size4);
-
-# I
-coeffs_as_lc_of_data(%, posn_list_3d_size4);
-print_coeffs__lc_of_data(%, "coeffs_I->coeff_", "fp",
- "3d.coeffs/3d.cube.order3.smooth0/coeffs-I.compute.c");
-
-# d/dx
-simplify( diff(interp_3d_cube_order3_smooth0,x) );
-coeffs_as_lc_of_data(%, posn_list_3d_size4);
-print_coeffs__lc_of_data(%, "coeffs_dx->coeff_", "fp",
- "3d.coeffs/3d.cube.order3.smooth0/coeffs-dx.compute.c");
-
-# d/dy
-simplify( diff(interp_3d_cube_order3_smooth0,y) );
-coeffs_as_lc_of_data(%, posn_list_3d_size4);
-print_coeffs__lc_of_data(%, "coeffs_dy->coeff_", "fp",
- "3d.coeffs/3d.cube.order3.smooth0/coeffs-dy.compute.c");
-
-# d/dz
-simplify( diff(interp_3d_cube_order3_smooth0,z) );
-coeffs_as_lc_of_data(%, posn_list_3d_size4);
-print_coeffs__lc_of_data(%, "coeffs_dz->coeff_", "fp",
- "3d.coeffs/3d.cube.order3.smooth0/coeffs-dz.compute.c");
-
-# d^2/dx^2
-simplify( diff(interp_3d_cube_order3_smooth0,x,x) );
-coeffs_as_lc_of_data(%, posn_list_3d_size4);
-print_coeffs__lc_of_data(%, "coeffs_dxx->coeff_", "fp",
- "3d.coeffs/3d.cube.order3.smooth0/coeffs-dxx.compute.c");
-
-# d^2/dxdy
-simplify( diff(interp_3d_cube_order3_smooth0,x,y) );
-coeffs_as_lc_of_data(%, posn_list_3d_size4);
-print_coeffs__lc_of_data(%, "coeffs_dxy->coeff_", "fp",
- "3d.coeffs/3d.cube.order3.smooth0/coeffs-dxy.compute.c");
-
-# d^2/dxdz
-simplify( diff(interp_3d_cube_order3_smooth0,x,z) );
-coeffs_as_lc_of_data(%, posn_list_3d_size4);
-print_coeffs__lc_of_data(%, "coeffs_dxz->coeff_", "fp",
- "3d.coeffs/3d.cube.order3.smooth0/coeffs-dxz.compute.c");
-
-# d^2/dy^2
-simplify( diff(interp_3d_cube_order3_smooth0,y,y) );
-coeffs_as_lc_of_data(%, posn_list_3d_size4);
-print_coeffs__lc_of_data(%, "coeffs_dyy->coeff_", "fp",
- "3d.coeffs/3d.cube.order3.smooth0/coeffs-dyy.compute.c");
-
-# d^2/dydz
-simplify( diff(interp_3d_cube_order3_smooth0,y,z) );
-coeffs_as_lc_of_data(%, posn_list_3d_size4);
-print_coeffs__lc_of_data(%, "coeffs_dyz->coeff_", "fp",
- "3d.coeffs/3d.cube.order3.smooth0/coeffs-dyz.compute.c");
-
-# d^2/dz^2
-simplify( diff(interp_3d_cube_order3_smooth0,z,z) );
-coeffs_as_lc_of_data(%, posn_list_3d_size4);
-print_coeffs__lc_of_data(%, "coeffs_dzz->coeff_", "fp",
- "3d.coeffs/3d.cube.order3.smooth0/coeffs-dzz.compute.c");
-
-################################################################################
-
-#
-# 3d, cube, order=4, smoothing=0 (size=5)
-#
-
-# interpolating polynomial
-interp_3d_cube_order4_smooth0
- := Lagrange_polynomial_interpolant(fn_3d_order4, coeffs_list_3d_order4,
- coords_list_3d, posn_list_3d_size5);
-
-# I
-coeffs_as_lc_of_data(%, posn_list_3d_size5);
-print_coeffs__lc_of_data(%, "coeffs_I->coeff_", "fp",
- "3d.coeffs/3d.cube.order4.smooth0/coeffs-I.compute.c");
-
-# d/dx
-simplify( diff(interp_3d_cube_order4_smooth0,x) );
-coeffs_as_lc_of_data(%, posn_list_3d_size5);
-print_coeffs__lc_of_data(%, "coeffs_dx->coeff_", "fp",
- "3d.coeffs/3d.cube.order4.smooth0/coeffs-dx.compute.c");
-
-# d/dy
-simplify( diff(interp_3d_cube_order4_smooth0,y) );
-coeffs_as_lc_of_data(%, posn_list_3d_size5);
-print_coeffs__lc_of_data(%, "coeffs_dy->coeff_", "fp",
- "3d.coeffs/3d.cube.order4.smooth0/coeffs-dy.compute.c");
-
-# d/dz
-simplify( diff(interp_3d_cube_order4_smooth0,z) );
-coeffs_as_lc_of_data(%, posn_list_3d_size5);
-print_coeffs__lc_of_data(%, "coeffs_dz->coeff_", "fp",
- "3d.coeffs/3d.cube.order4.smooth0/coeffs-dz.compute.c");
-
-# d^2/dx^2
-simplify( diff(interp_3d_cube_order4_smooth0,x,x) );
-coeffs_as_lc_of_data(%, posn_list_3d_size5);
-print_coeffs__lc_of_data(%, "coeffs_dxx->coeff_", "fp",
- "3d.coeffs/3d.cube.order4.smooth0/coeffs-dxx.compute.c");
-
-# d^2/dxdy
-simplify( diff(interp_3d_cube_order4_smooth0,x,y) );
-coeffs_as_lc_of_data(%, posn_list_3d_size5);
-print_coeffs__lc_of_data(%, "coeffs_dxy->coeff_", "fp",
- "3d.coeffs/3d.cube.order4.smooth0/coeffs-dxy.compute.c");
-
-# d^2/dxdz
-simplify( diff(interp_3d_cube_order4_smooth0,x,z) );
-coeffs_as_lc_of_data(%, posn_list_3d_size5);
-print_coeffs__lc_of_data(%, "coeffs_dxz->coeff_", "fp",
- "3d.coeffs/3d.cube.order4.smooth0/coeffs-dxz.compute.c");
-
-# d^2/dy^2
-simplify( diff(interp_3d_cube_order4_smooth0,y,y) );
-coeffs_as_lc_of_data(%, posn_list_3d_size5);
-print_coeffs__lc_of_data(%, "coeffs_dyy->coeff_", "fp",
- "3d.coeffs/3d.cube.order4.smooth0/coeffs-dyy.compute.c");
-
-# d^2/dydz
-simplify( diff(interp_3d_cube_order4_smooth0,y,z) );
-coeffs_as_lc_of_data(%, posn_list_3d_size5);
-print_coeffs__lc_of_data(%, "coeffs_dyz->coeff_", "fp",
- "3d.coeffs/3d.cube.order4.smooth0/coeffs-dyz.compute.c");
-
-# d^2/dz^2
-simplify( diff(interp_3d_cube_order4_smooth0,z,z) );
-coeffs_as_lc_of_data(%, posn_list_3d_size5);
-print_coeffs__lc_of_data(%, "coeffs_dzz->coeff_", "fp",
- "3d.coeffs/3d.cube.order4.smooth0/coeffs-dzz.compute.c");
-
-################################################################################
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