%%
%% %CopyrightBegin%
%%
%% Copyright Ericsson AB 2001-2010. All Rights Reserved.
%%
%% The contents of this file are subject to the Erlang Public License,
%% Version 1.1, (the "License"); you may not use this file except in
%% compliance with the License. You should have received a copy of the
%% Erlang Public License along with this software. If not, it can be
%% retrieved online at http://www.erlang.org/.
%%
%% Software distributed under the License is distributed on an "AS IS"
%% basis, WITHOUT WARRANTY OF ANY KIND, either express or implied. See
%% the License for the specific language governing rights and limitations
%% under the License.
%%
%% %CopyrightEnd%
%%
-module(pseudoknot_SUITE).
-export([all/0,groups/0,init_per_group/2,end_per_group/2,test/1]).
all() ->
[test].
groups() ->
[].
init_per_group(_GroupName, Config) ->
Config.
end_per_group(_GroupName, Config) ->
Config.
test(Config) when is_list(Config) ->
statistics(runtime),
R = loop(1,0),
{_,Time} = statistics(runtime),
io:format("\nruntime = ~p msecs\nresult = ~p\n", [Time,R]),
true = abs(R-33.7976) < 0.0001,
{comment,lists:flatten(io_lib:format("Time: ~w", [Time]))}.
append([H|T], Z) ->
[H|append(T, Z)];
append([], X) ->
X.
atan2(Y,X) when X>0.0 ->
math:atan(Y/X);
atan2(Y,X) when Y<0.0 ->
if
X == 0.0 -> -1.57079632679489661923;
true -> math:atan(Y/X) - 3.14159265358979323846
end;
atan2(Y,X) ->
if
X == 0.0 -> 1.57079632679489661923;
true -> math:atan(Y/X) + 3.14159265358979323846
end.
% -- POINTS ------------------------------------------------------------------
%pt ::= {X, Y, Z} where X,Y,Z are floats
pt_sub({X1, Y1, Z1}, {X2, Y2, Z2})
when is_float(X1), is_float(Y1), is_float(Z1),
is_float(X2), is_float(Y2), is_float(Z2) ->
{X1 - X2, Y1 - Y2, Z1 - Z2}.
pt_dist({X1, Y1, Z1}, {X2, Y2, Z2})
when is_float(X1), is_float(Y1), is_float(Z1),
is_float(X2), is_float(Y2), is_float(Z2) ->
Dx = X1 - X2,
Dy = Y1 - Y2,
Dz = Z1 - Z2,
math:sqrt(Dx * Dx + Dy * Dy + Dz * Dz).
pt_phi({X, Y, Z})
when is_float(X), is_float(Z) ->
B = atan2(X, Z),
atan2(math:cos(B) * Z + math:sin(B) * X, Y).
pt_theta ({X, _, Z}) ->
atan2(X, Z).
% -- COORDINATE TRANSFORMATIONS ----------------------------------------------
% The notation for the transformations follows "Paul, R.P. (1981) Robot
% Manipulators. MIT Press." with the exception that our transformation
% matrices don't have the perspective terms and are the transpose of
% Paul's one. See also "M\"antyl\"a, M. (1985) An Introduction to
% Solid Modeling, Computer Science Press" Appendix A.
%
% The components of a transformation matrix are named like this:
%
% a b c
% d e f
% g h i
% tx ty tz
%
% The components tx, ty, and tz are the translation vector.
%tfo ::= {A,B,C,D,E,F,G,H,I,Tx,Ty,Tz} where all elements are floats
tfo_id() -> {1.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0}.
% The function "tfo-apply" multiplies a transformation matrix, tfo, by a
% point vector, p. The result is a new point.
tfo_apply ({A,B,C,D,E,F,G,H,I,Tx,Ty,Tz}, {X,Y,Z})
when is_float(A), is_float(B), is_float(C), is_float(D), is_float(E),
is_float(F), is_float(G), is_float(H), is_float(I),
is_float(Tx), is_float(Ty), is_float(Tz), is_float(X), is_float(Y), is_float(Z) ->
{X * A + Y * D + Z * G + Tx,
X * B + Y * E + Z * H + Ty,
X * C + Y * F + Z * I + Tz}.
% The function "tfo-combine" multiplies two transformation matrices A and B.
% The result is a new matrix which cumulates the transformations described
% by A and B.
tfo_combine({A_a,A_b,A_c,A_d,A_e,A_f,A_g,A_h,A_i,A_tx,A_ty,A_tz},
{B_a,B_b,B_c,B_d,B_e,B_f,B_g,B_h,B_i,B_tx,B_ty,B_tz})
when is_float(A_a), is_float(A_b), is_float(A_c), is_float(A_d), is_float(A_e),
is_float(A_f), is_float(A_g), is_float(A_h), is_float(A_i), is_float(A_tx),
is_float(A_ty), is_float(A_tz),
is_float(B_a), is_float(B_b), is_float(B_c), is_float(B_d), is_float(B_e),
is_float(B_f), is_float(B_g), is_float(B_h), is_float(B_i), is_float(B_tx),
is_float(B_ty), is_float(B_tz) ->
{A_a * B_a + A_b * B_d + A_c * B_g,
A_a * B_b + A_b * B_e + A_c * B_h,
A_a * B_c + A_b * B_f + A_c * B_i,
A_d * B_a + A_e * B_d + A_f * B_g,
A_d * B_b + A_e * B_e + A_f * B_h,
A_d * B_c + A_e * B_f + A_f * B_i,
A_g * B_a + A_h * B_d + A_i * B_g,
A_g * B_b + A_h * B_e + A_i * B_h,
A_g * B_c + A_h * B_f + A_i * B_i,
A_tx * B_a + A_ty * B_d + A_tz * B_g + B_tx,
A_tx * B_b + A_ty * B_e + A_tz * B_h + B_ty,
A_tx * B_c + A_ty * B_f + A_tz * B_i + B_tz}.
% The function "tfo-inv-ortho" computes the inverse of a homogeneous
% transformation matrix.
tfo_inv_ortho({A,B,C,D,E,F,G,H,I,Tx,Ty,Tz})
when is_float(A), is_float(B), is_float(C), is_float(D), is_float(E), is_float(F),
is_float(G), is_float(H), is_float(I), is_float(Tx), is_float(Ty), is_float(Tz) ->
{A,D,G,
B,E,H,
C,F,I,
-(A * Tx + B * Ty + C * Tz),
-(D * Tx + E * Ty + F * Tz),
-(G * Tx + H * Ty + I * Tz)}.
% Given three points p1, p2, and p3, the function "tfo-align" computes
% a transformation matrix such that point p1 gets mapped to (0,0,0), p2 gets
% mapped to the Y axis and p3 gets mapped to the YZ plane.
tfo_align({X1,Y1,Z1},{X2,Y2,Z2},{X3,Y3,Z3})
when is_float(X1), is_float(Y1), is_float(Z1),
is_float(X2), is_float(Y2), is_float(Z2),
is_float(X3), is_float(Y3), is_float(Z3) ->
X31 = X3 - X1,
Y31 = Y3 - Y1,
Z31 = Z3 - Z1,
Rotpy = pt_sub({X2,Y2,Z2},{X1,Y1,Z1}),
Phi = pt_phi(Rotpy),
Theta = pt_theta(Rotpy),
Sinp = math:sin(Phi),
Sint = math:sin(Theta),
Cosp = math:cos(Phi),
Cost = math:cos(Theta),
Sinpsint = Sinp * Sint,
Sinpcost = Sinp * Cost,
Cospsint = Cosp * Sint,
Cospcost = Cosp * Cost,
Rotpz = {Cost * X31 - Sint * Z31,
Sinpsint * X31 + Cosp * Y31 + Sinpcost * Z31,
Cospsint * X31 - Sinp * Y31 + Cospcost * Z31},
Rho = pt_theta(Rotpz),
Cosr = math:cos(Rho),
Sinr = math:sin(Rho),
X = Z1 * Sint - X1 * Cost,
Y = -X1 * Sinpsint - Y1 * Cosp - Z1 * Sinpcost,
Z = Y1 * Sinp - Z1 * Cospcost - X1 * Cospsint,
{Cost * Cosr - Cospsint * Sinr,
Sinpsint,
Cost * Sinr + Cospsint * Cosr,
Sinp * Sinr,
Cosp,
-Sinp * Cosr,
-Sint * Cosr - Cospcost * Sinr,
Sinpcost,
Cospcost * Cosr - Sint * Sinr,
X * Cosr - Z * Sinr,
Y,
X * Sinr + Z * Cosr}.
% -- NUCLEIC ACID CONFORMATIONS DATA BASE ------------------------------------
% Numbering of atoms follows the paper:
%
% IUPAC-IUB Joint Commission on Biochemical Nomenclature (JCBN)
% (1983) Abbreviations and Symbols for the Description of
% Conformations of Polynucleotide Chains. Eur. J. Biochem 131,
% 9-15.
% Define part common to all 4 nucleotide types.
%nuc ::= {
% tfo,tfo,tfo,tfo,
% pt,pt,pt,pt,pt,pt,pt,pt,pt,pt,pt,pt,pt,
% pt,pt,pt,pt,pt,pt,pt,pt,pt,pt,pt,pt,
% A/C/G/U,
% nuc_specific
% }
% dgf_base_tfo ; defines the standard position for wc and wc_dumas
% p_o3'_275_tfo ; defines the standard position for the connect function
% p_o3'_180_tfo
% p_o3'_60_tfo
% p o1p o2p o5' c5' h5' h5'' c4' h4' o4' c1' h1' c2' h2'' o2' h2' c3'
% h3' o3' n1 n3 c2 c4 c5 c6
type({_,_,_,_,_,_,_,_,_,_,
_,_,_,_,_,_,_,_,_,_,
_,_,_,_,_,_,_,_,_,X,
_}) -> X.
nuc_C1_({_,_,_,_,_,_,_,_,_,_,
_,_,_,_,X,_,_,_,_,_,
_,_,_,_,_,_,_,_,_,_,
_}) -> X.
nuc_C2({_,_,_,_,_,_,_,_,_,_,
_,_,_,_,_,_,_,_,_,_,
_,_,_,_,_,X,_,_,_,_,
_}) -> X.
nuc_C3_({_,_,_,_,_,_,_,_,_,_,
_,_,_,_,_,_,_,_,_,_,
X,_,_,_,_,_,_,_,_,_,
_}) -> X.
nuc_C4({_,_,_,_,_,_,_,_,_,_,
_,_,_,_,_,_,_,_,_,_,
_,_,_,_,_,_,X,_,_,_,
_}) -> X.
nuc_C4_({_,_,_,_,_,_,_,_,_,_,
_,X,_,_,_,_,_,_,_,_,
_,_,_,_,_,_,_,_,_,_,
_}) -> X.
nuc_N1({_,_,_,_,_,_,_,_,_,_,
_,_,_,_,_,_,_,_,_,_,
_,_,_,X,_,_,_,_,_,_,
_}) -> X.
nuc_O3_({_,_,_,_,_,_,_,_,_,_,
_,_,_,_,_,_,_,_,_,_,
_,_,X,_,_,_,_,_,_,_,
_}) -> X.
nuc_P({_,_,_,_,X,_,_,_,_,_,
_,_,_,_,_,_,_,_,_,_,
_,_,_,_,_,_,_,_,_,_,
_}) -> X.
nuc_dgf_base_tfo({X,_,_,_,_,_,_,_,_,_,
_,_,_,_,_,_,_,_,_,_,
_,_,_,_,_,_,_,_,_,_,
_}) -> X.
nuc_p_o3__180_tfo({_,_,X,_,_,_,_,_,_,_,
_,_,_,_,_,_,_,_,_,_,
_,_,_,_,_,_,_,_,_,_,
_}) -> X.
nuc_p_o3__275_tfo({_,X,_,_,_,_,_,_,_,_,
_,_,_,_,_,_,_,_,_,_,
_,_,_,_,_,_,_,_,_,_,
_}) -> X.
nuc_p_o3__60_tfo({_,_,_,X,_,_,_,_,_,_,
_,_,_,_,_,_,_,_,_,_,
_,_,_,_,_,_,_,_,_,_,
_}) -> X.
rA_N9({_,_,_,_,_,_,_,_,_,_,
_,_,_,_,_,_,_,_,_,_,
_,_,_,_,_,_,_,_,_,a,
{_,_,X,_,_,_,_,_}}) -> X.
rG_N9({_,_,_,_,_,_,_,_,_,_,
_,_,_,_,_,_,_,_,_,_,
_,_,_,_,_,_,_,_,_,g,
{_,_,X,_,_,_,_,_,_}}) -> X.
%nuc ::= {
% tfo,tfo,tfo,tfo,
% pt,pt,pt,pt,pt,pt,pt,pt,pt,pt,pt,pt,pt,
% pt,pt,pt,pt,pt,pt,pt,pt,pt,pt,pt,pt,
% A/C/G/U,
% nuc_specific
% }
% Define remaining atoms for each nucleotide type.
%nuc_specific
% a {N6,N7,N9,C8,H2,H61,H62,H8}
% c {N4,O2,H41,H42,H5,H6}
% g {N2,N7,N9,C8,O6,H1,H21,H22,H8}
% u {O2,O4,H3,H5,H6}
% Database of nucleotide conformations:
rA() ->
{
{-0.0018, -0.8207, 0.5714, % dgf_base_tfo
0.2679, -0.5509, -0.7904,
0.9634, 0.1517, 0.2209,
0.0073, 8.4030, 0.6232},
{-0.8143, -0.5091, -0.2788, % p_o3'_275_tfo
-0.0433, -0.4257, 0.9038,
-0.5788, 0.7480, 0.3246,
1.5227, 6.9114, -7.0765},
{0.3822, -0.7477, 0.5430, % p_o3'_180_tfo
0.4552, 0.6637, 0.5935,
-0.8042, 0.0203, 0.5941,
-6.9472, -4.1186, -5.9108},
{0.5640, 0.8007, -0.2022, % p_o3'_60_tfo
-0.8247, 0.5587, -0.0878,
0.0426, 0.2162, 0.9754,
6.2694, -7.0540, 3.3316},
{2.8930, 8.5380, -3.3280}, % P
{1.6980, 7.6960, -3.5570}, % O1P
{3.2260, 9.5010, -4.4020}, % O2P
{4.1590, 7.6040, -3.0340}, % O5'
{5.4550, 8.2120, -2.8810}, % C5'
{5.4546, 8.8508, -1.9978}, % H5'
{5.7588, 8.6625, -3.8259}, % H5''
{6.4970, 7.1480, -2.5980}, % C4'
{7.4896, 7.5919, -2.5214}, % H4'
{6.1630, 6.4860, -1.3440}, % O4'
{6.5400, 5.1200, -1.4190}, % C1'
{7.2763, 4.9681, -0.6297}, % H1'
{7.1940, 4.8830, -2.7770}, % C2'
{6.8667, 3.9183, -3.1647}, % H2''
{8.5860, 5.0910, -2.6140}, % O2'
{8.9510, 4.7626, -1.7890}, % H2'
{6.5720, 6.0040, -3.6090}, % C3'
{5.5636, 5.7066, -3.8966}, % H3'
{7.3801, 6.3562, -4.7350}, % O3'
{4.7150, 0.4910, -0.1360}, % N1
{6.3490, 2.1730, -0.6020}, % N3
{5.9530, 0.9650, -0.2670}, % C2
{5.2900, 2.9790, -0.8260}, % C4
{3.9720, 2.6390, -0.7330}, % C5
{3.6770, 1.3160, -0.3660}, % C6
a, {
{2.4280, 0.8450, -0.2360}, % N6
{3.1660, 3.7290, -1.0360}, % N7
{5.3170, 4.2990, -1.1930}, % N9
{4.0100, 4.6780, -1.2990}, % C8
{6.6890, 0.1903, -0.0518}, % H2
{1.6470, 1.4460, -0.4040}, % H61
{2.2780, -0.1080, -0.0280}, % H62
{3.4421, 5.5744, -1.5482}} % H8
}.
rA01() ->
{
{-0.0043, -0.8175, 0.5759, % dgf_base_tfo
0.2617, -0.5567, -0.7884,
0.9651, 0.1473, 0.2164,
0.0359, 8.3929, 0.5532},
{-0.8143, -0.5091, -0.2788, % p_o3'_275_tfo
-0.0433, -0.4257, 0.9038,
-0.5788, 0.7480, 0.3246,
1.5227, 6.9114, -7.0765},
{0.3822, -0.7477, 0.5430, % p_o3'_180_tfo
0.4552, 0.6637, 0.5935,
-0.8042, 0.0203, 0.5941,
-6.9472, -4.1186, -5.9108},
{0.5640, 0.8007, -0.2022, % p_o3'_60_tfo
-0.8247, 0.5587, -0.0878,
0.0426, 0.2162, 0.9754,
6.2694, -7.0540, 3.3316},
{2.8930, 8.5380, -3.3280}, % P
{1.6980, 7.6960, -3.5570}, % O1P
{3.2260, 9.5010, -4.4020}, % O2P
{4.1590, 7.6040, -3.0340}, % O5'
{5.4352, 8.2183, -2.7757}, % C5'
{5.3830, 8.7883, -1.8481}, % H5'
{5.7729, 8.7436, -3.6691}, % H5''
{6.4830, 7.1518, -2.5252}, % C4'
{7.4749, 7.5972, -2.4482}, % H4'
{6.1626, 6.4620, -1.2827}, % O4'
{6.5431, 5.0992, -1.3905}, % C1'
{7.2871, 4.9328, -0.6114}, % H1'
{7.1852, 4.8935, -2.7592}, % C2'
{6.8573, 3.9363, -3.1645}, % H2''
{8.5780, 5.1025, -2.6046}, % O2'
{8.9516, 4.7577, -1.7902}, % H2'
{6.5522, 6.0300, -3.5612}, % C3'
{5.5420, 5.7356, -3.8459}, % H3'
{7.3487, 6.4089, -4.6867}, % O3'
{4.7442, 0.4514, -0.1390}, % N1
{6.3687, 2.1459, -0.5926}, % N3
{5.9795, 0.9335, -0.2657}, % C2
{5.3052, 2.9471, -0.8125}, % C4
{3.9891, 2.5987, -0.7230}, % C5
{3.7016, 1.2717, -0.3647}, % C6
a, {
{2.4553, 0.7925, -0.2390}, % N6
{3.1770, 3.6859, -1.0198}, % N7
{5.3247, 4.2695, -1.1710}, % N9
{4.0156, 4.6415, -1.2759}, % C8
{6.7198, 0.1618, -0.0547}, % H2
{1.6709, 1.3900, -0.4039}, % H61
{2.3107, -0.1627, -0.0373}, % H62
{3.4426, 5.5361, -1.5199}} % H8
}.
rA02() ->
{
{0.5566, 0.0449, 0.8296, % dgf_base_tfo
0.5125, 0.7673, -0.3854,
-0.6538, 0.6397, 0.4041,
-9.1161, -3.7679, -2.9968},
{-0.8143, -0.5091, -0.2788, % p_o3'_275_tfo
-0.0433, -0.4257, 0.9038,
-0.5788, 0.7480, 0.3246,
1.5227, 6.9114, -7.0765},
{0.3822, -0.7477, 0.5430, % p_o3'_180_tfo
0.4552, 0.6637, 0.5935,
-0.8042, 0.0203, 0.5941,
-6.9472, -4.1186, -5.9108},
{0.5640, 0.8007, -0.2022, % p_o3'_60_tfo
-0.8247, 0.5587, -0.0878,
0.0426, 0.2162, 0.9754,
6.2694, -7.0540, 3.3316},
{2.8930, 8.5380, -3.3280}, % P
{1.6980, 7.6960, -3.5570}, % O1P
{3.2260, 9.5010, -4.4020}, % O2P
{4.1590, 7.6040, -3.0340}, % O5'
{4.5778, 6.6594, -4.0364}, % C5'
{4.9220, 7.1963, -4.9204}, % H5'
{3.7996, 5.9091, -4.1764}, % H5''
{5.7873, 5.8869, -3.5482}, % C4'
{6.0405, 5.0875, -4.2446}, % H4'
{6.9135, 6.8036, -3.4310}, % O4'
{7.7293, 6.4084, -2.3392}, % C1'
{8.7078, 6.1815, -2.7624}, % H1'
{7.1305, 5.1418, -1.7347}, % C2'
{7.2040, 5.1982, -0.6486}, % H2''
{7.7417, 4.0392, -2.3813}, % O2'
{8.6785, 4.1443, -2.5630}, % H2'
{5.6666, 5.2728, -2.1536}, % C3'
{5.1747, 5.9805, -1.4863}, % H3'
{4.9997, 4.0086, -2.1973}, % O3'
{10.3245, 8.5459, 1.5467}, % N1
{9.8051, 6.9432, -0.1497}, % N3
{10.5175, 7.4328, 0.8408}, % C2
{8.7523, 7.7422, -0.4228}, % C4
{8.4257, 8.9060, 0.2099}, % C5
{9.2665, 9.3242, 1.2540}, % C6
a, {
{9.0664, 10.4462, 1.9610}, % N6
{7.2750, 9.4537, -0.3428}, % N7
{7.7962, 7.5519, -1.3859}, % N9
{6.9479, 8.6157, -1.2771}, % C8
{11.4063, 6.9047, 1.1859}, % H2
{8.2845, 11.0341, 1.7552}, % H61
{9.6584, 10.6647, 2.7198}, % H62
{6.0430, 8.9853, -1.7594}} % H8
}.
rA03() ->
{
{-0.5021, 0.0731, 0.8617, % dgf_base_tfo
-0.8112, 0.3054, -0.4986,
-0.2996, -0.9494, -0.0940,
6.4273, -5.1944, -3.7807},
{-0.8143, -0.5091, -0.2788, % p_o3'_275_tfo
-0.0433, -0.4257, 0.9038,
-0.5788, 0.7480, 0.3246,
1.5227, 6.9114, -7.0765},
{0.3822, -0.7477, 0.5430, % p_o3'_180_tfo
0.4552, 0.6637, 0.5935,
-0.8042, 0.0203, 0.5941,
-6.9472, -4.1186, -5.9108},
{0.5640, 0.8007, -0.2022, % p_o3'_60_tfo
-0.8247, 0.5587, -0.0878,
0.0426, 0.2162, 0.9754,
6.2694, -7.0540, 3.3316},
{2.8930, 8.5380, -3.3280}, % P
{1.6980, 7.6960, -3.5570}, % O1P
{3.2260, 9.5010, -4.4020}, % O2P
{4.1590, 7.6040, -3.0340}, % O5'
{4.1214, 6.7116, -1.9049}, % C5'
{3.3465, 5.9610, -2.0607}, % H5'
{4.0789, 7.2928, -0.9837}, % H5''
{5.4170, 5.9293, -1.8186}, % C4'
{5.4506, 5.3400, -0.9023}, % H4'
{5.5067, 5.0417, -2.9703}, % O4'
{6.8650, 4.9152, -3.3612}, % C1'
{7.1090, 3.8577, -3.2603}, % H1'
{7.7152, 5.7282, -2.3894}, % C2'
{8.5029, 6.2356, -2.9463}, % H2''
{8.1036, 4.8568, -1.3419}, % O2'
{8.3270, 3.9651, -1.6184}, % H2'
{6.7003, 6.7565, -1.8911}, % C3'
{6.5898, 7.5329, -2.6482}, % H3'
{7.0505, 7.2878, -0.6105}, % O3'
{9.6740, 4.7656, -7.6614}, % N1
{9.0739, 4.3013, -5.3941}, % N3
{9.8416, 4.2192, -6.4581}, % C2
{7.9885, 5.0632, -5.6446}, % C4
{7.6822, 5.6856, -6.8194}, % C5
{8.5831, 5.5215, -7.8840}, % C6
a, {
{8.4084, 6.0747, -9.0933}, % N6
{6.4857, 6.3816, -6.7035}, % N7
{6.9740, 5.3703, -4.7760}, % N9
{6.1133, 6.1613, -5.4808}, % C8
{10.7627, 3.6375, -6.4220}, % H2
{7.6031, 6.6390, -9.2733}, % H61
{9.1004, 5.9708, -9.7893}, % H62
{5.1705, 6.6830, -5.3167}} % H8
}.
rA04() ->
{
{-0.5426, -0.8175, 0.1929, % dgf_base_tfo
0.8304, -0.5567, -0.0237,
0.1267, 0.1473, 0.9809,
-0.5075, 8.3929, 0.2229},
{-0.8143, -0.5091, -0.2788, % p_o3'_275_tfo
-0.0433, -0.4257, 0.9038,
-0.5788, 0.7480, 0.3246,
1.5227, 6.9114, -7.0765},
{0.3822, -0.7477, 0.5430, % p_o3'_180_tfo
0.4552, 0.6637, 0.5935,
-0.8042, 0.0203, 0.5941,
-6.9472, -4.1186, -5.9108},
{0.5640, 0.8007, -0.2022, % p_o3'_60_tfo
-0.8247, 0.5587, -0.0878,
0.0426, 0.2162, 0.9754,
6.2694, -7.0540, 3.3316},
{2.8930, 8.5380, -3.3280}, % P
{1.6980, 7.6960, -3.5570}, % O1P
{3.2260, 9.5010, -4.4020}, % O2P
{4.1590, 7.6040, -3.0340}, % O5'
{5.4352, 8.2183, -2.7757}, % C5'
{5.3830, 8.7883, -1.8481}, % H5'
{5.7729, 8.7436, -3.6691}, % H5''
{6.4830, 7.1518, -2.5252}, % C4'
{7.4749, 7.5972, -2.4482}, % H4'
{6.1626, 6.4620, -1.2827}, % O4'
{6.5431, 5.0992, -1.3905}, % C1'
{7.2871, 4.9328, -0.6114}, % H1'
{7.1852, 4.8935, -2.7592}, % C2'
{6.8573, 3.9363, -3.1645}, % H2''
{8.5780, 5.1025, -2.6046}, % O2'
{8.9516, 4.7577, -1.7902}, % H2'
{6.5522, 6.0300, -3.5612}, % C3'
{5.5420, 5.7356, -3.8459}, % H3'
{7.3487, 6.4089, -4.6867}, % O3'
{3.6343, 2.6680, 2.0783}, % N1
{5.4505, 3.9805, 1.2446}, % N3
{4.7540, 3.3816, 2.1851}, % C2
{4.8805, 3.7951, 0.0354}, % C4
{3.7416, 3.0925, -0.2305}, % C5
{3.0873, 2.4980, 0.8606}, % C6
a, {
{1.9600, 1.7805, 0.7462}, % N6
{3.4605, 3.1184, -1.5906}, % N7
{5.3247, 4.2695, -1.1710}, % N9
{4.4244, 3.8244, -2.0953}, % C8
{5.0814, 3.4352, 3.2234}, % H2
{1.5423, 1.6454, -0.1520}, % H61
{1.5716, 1.3398, 1.5392}, % H62
{4.2675, 3.8876, -3.1721}} % H8
}.
rA05() ->
{
{-0.5891, 0.0449, 0.8068, % dgf_base_tfo
0.5375, 0.7673, 0.3498,
-0.6034, 0.6397, -0.4762,
-0.3019, -3.7679, -9.5913},
{-0.8143, -0.5091, -0.2788, % p_o3'_275_tfo
-0.0433, -0.4257, 0.9038,
-0.5788, 0.7480, 0.3246,
1.5227, 6.9114, -7.0765},
{0.3822, -0.7477, 0.5430, % p_o3'_180_tfo
0.4552, 0.6637, 0.5935,
-0.8042, 0.0203, 0.5941,
-6.9472, -4.1186, -5.9108},
{0.5640, 0.8007, -0.2022, % p_o3'_60_tfo
-0.8247, 0.5587, -0.0878,
0.0426, 0.2162, 0.9754,
6.2694, -7.0540, 3.3316},
{2.8930, 8.5380, -3.3280}, % P
{1.6980, 7.6960, -3.5570}, % O1P
{3.2260, 9.5010, -4.4020}, % O2P
{4.1590, 7.6040, -3.0340}, % O5'
{4.5778, 6.6594, -4.0364}, % C5'
{4.9220, 7.1963, -4.9204}, % H5'
{3.7996, 5.9091, -4.1764}, % H5''
{5.7873, 5.8869, -3.5482}, % C4'
{6.0405, 5.0875, -4.2446}, % H4'
{6.9135, 6.8036, -3.4310}, % O4'
{7.7293, 6.4084, -2.3392}, % C1'
{8.7078, 6.1815, -2.7624}, % H1'
{7.1305, 5.1418, -1.7347}, % C2'
{7.2040, 5.1982, -0.6486}, % H2''
{7.7417, 4.0392, -2.3813}, % O2'
{8.6785, 4.1443, -2.5630}, % H2'
{5.6666, 5.2728, -2.1536}, % C3'
{5.1747, 5.9805, -1.4863}, % H3'
{4.9997, 4.0086, -2.1973}, % O3'
{10.2594, 10.6774, -1.0056}, % N1
{9.7528, 8.7080, -2.2631}, % N3
{10.4471, 9.7876, -1.9791}, % C2
{8.7271, 8.5575, -1.3991}, % C4
{8.4100, 9.3803, -0.3580}, % C5
{9.2294, 10.5030, -0.1574}, % C6
a, {
{9.0349, 11.3951, 0.8250}, % N6
{7.2891, 8.9068, 0.3121}, % N7
{7.7962, 7.5519, -1.3859}, % N9
{6.9702, 7.8292, -0.3353}, % C8
{11.3132, 10.0537, -2.5851}, % H2
{8.2741, 11.2784, 1.4629}, % H61
{9.6733, 12.1368, 0.9529}, % H62
{6.0888, 7.3990, 0.1403}} % H8
}.
rA06() ->
{
{-0.9815, 0.0731, -0.1772, % dgf_base_tfo
0.1912, 0.3054, -0.9328,
-0.0141, -0.9494, -0.3137,
5.7506, -5.1944, 4.7470},
{-0.8143, -0.5091, -0.2788, % p_o3'_275_tfo
-0.0433, -0.4257, 0.9038,
-0.5788, 0.7480, 0.3246,
1.5227, 6.9114, -7.0765},
{0.3822, -0.7477, 0.5430, % p_o3'_180_tfo
0.4552, 0.6637, 0.5935,
-0.8042, 0.0203, 0.5941,
-6.9472, -4.1186, -5.9108},
{0.5640, 0.8007, -0.2022, % p_o3'_60_tfo
-0.8247, 0.5587, -0.0878,
0.0426, 0.2162, 0.9754,
6.2694, -7.0540, 3.3316},
{2.8930, 8.5380, -3.3280}, % P
{1.6980, 7.6960, -3.5570}, % O1P
{3.2260, 9.5010, -4.4020}, % O2P
{4.1590, 7.6040, -3.0340}, % O5'
{4.1214, 6.7116, -1.9049}, % C5'
{3.3465, 5.9610, -2.0607}, % H5'
{4.0789, 7.2928, -0.9837}, % H5''
{5.4170, 5.9293, -1.8186}, % C4'
{5.4506, 5.3400, -0.9023}, % H4'
{5.5067, 5.0417, -2.9703}, % O4'
{6.8650, 4.9152, -3.3612}, % C1'
{7.1090, 3.8577, -3.2603}, % H1'
{7.7152, 5.7282, -2.3894}, % C2'
{8.5029, 6.2356, -2.9463}, % H2''
{8.1036, 4.8568, -1.3419}, % O2'
{8.3270, 3.9651, -1.6184}, % H2'
{6.7003, 6.7565, -1.8911}, % C3'
{6.5898, 7.5329, -2.6482}, % H3'
{7.0505, 7.2878, -0.6105}, % O3'
{6.6624, 3.5061, -8.2986}, % N1
{6.5810, 3.2570, -5.9221}, % N3
{6.5151, 2.8263, -7.1625}, % C2
{6.8364, 4.5817, -5.8882}, % C4
{7.0116, 5.4064, -6.9609}, % C5
{6.9173, 4.8260, -8.2361}, % C6
a, {
{7.0668, 5.5163, -9.3763}, % N6
{7.2573, 6.7070, -6.5394}, % N7
{6.9740, 5.3703, -4.7760}, % N9
{7.2238, 6.6275, -5.2453}, % C8
{6.3146, 1.7741, -7.3641}, % H2
{7.2568, 6.4972, -9.3456}, % H61
{7.0437, 5.0478, -10.2446}, % H62
{7.4108, 7.6227, -4.8418}} % H8
}.
rA07() ->
{
{0.2379, 0.1310, -0.9624, % dgf_base_tfo
-0.5876, -0.7696, -0.2499,
-0.7734, 0.6249, -0.1061,
30.9870, -26.9344, 42.6416},
{0.7529, 0.1548, 0.6397, % p_o3'_275_tfo
0.2952, -0.9481, -0.1180,
0.5882, 0.2777, -0.7595,
-58.8919, -11.3095, 6.0866},
{-0.0239, 0.9667, -0.2546, % p_o3'_180_tfo
0.9731, -0.0359, -0.2275,
-0.2290, -0.2532, -0.9399,
3.5401, -29.7913, 52.2796},
{-0.8912, -0.4531, 0.0242, % p_o3'_60_tfo
-0.1183, 0.1805, -0.9764,
0.4380, -0.8730, -0.2145,
19.9023, 54.8054, 15.2799},
{41.8210, 8.3880, 43.5890}, % P
{42.5400, 8.0450, 44.8330}, % O1P
{42.2470, 9.6920, 42.9910}, % O2P
{40.2550, 8.2030, 43.7340}, % O5'
{39.3505, 8.4697, 42.6565}, % C5'
{39.1377, 7.5433, 42.1230}, % H5'
{39.7203, 9.3119, 42.0717}, % H5''
{38.0405, 8.9195, 43.2869}, % C4'
{37.3687, 9.3036, 42.5193}, % H4'
{37.4319, 7.8146, 43.9387}, % O4'
{37.1959, 8.1354, 45.3237}, % C1'
{36.1788, 8.5202, 45.3970}, % H1'
{38.1721, 9.2328, 45.6504}, % C2'
{39.1555, 8.7939, 45.8188}, % H2''
{37.7862, 10.0617, 46.7013}, % O2'
{37.3087, 9.6229, 47.4092}, % H2'
{38.1844, 10.0268, 44.3367}, % C3'
{39.1578, 10.5054, 44.2289}, % H3'
{37.0547, 10.9127, 44.3441}, % O3'
{34.8811, 4.2072, 47.5784}, % N1
{35.1084, 6.1336, 46.1818}, % N3
{34.4108, 5.1360, 46.7207}, % C2
{36.3908, 6.1224, 46.6053}, % C4
{36.9819, 5.2334, 47.4697}, % C5
{36.1786, 4.1985, 48.0035}, % C6
a, {
{36.6103, 3.2749, 48.8452}, % N6
{38.3236, 5.5522, 47.6595}, % N7
{37.3887, 7.0024, 46.2437}, % N9
{38.5055, 6.6096, 46.9057}, % C8
{33.3553, 5.0152, 46.4771}, % H2
{37.5730, 3.2804, 49.1507}, % H61
{35.9775, 2.5638, 49.1828}, % H62
{39.5461, 6.9184, 47.0041}} % H8
}.
rA08() ->
{
{0.1084, -0.0895, -0.9901, % dgf_base_tfo
0.9789, -0.1638, 0.1220,
-0.1731, -0.9824, 0.0698,
-2.9039, 47.2655, 33.0094},
{0.7529, 0.1548, 0.6397, % p_o3'_275_tfo
0.2952, -0.9481, -0.1180,
0.5882, 0.2777, -0.7595,
-58.8919, -11.3095, 6.0866},
{-0.0239, 0.9667, -0.2546, % p_o3'_180_tfo
0.9731, -0.0359, -0.2275,
-0.2290, -0.2532, -0.9399,
3.5401, -29.7913, 52.2796},
{-0.8912, -0.4531, 0.0242, % p_o3'_60_tfo
-0.1183, 0.1805, -0.9764,
0.4380, -0.8730, -0.2145,
19.9023, 54.8054, 15.2799},
{41.8210, 8.3880, 43.5890}, % P
{42.5400, 8.0450, 44.8330}, % O1P
{42.2470, 9.6920, 42.9910}, % O2P
{40.2550, 8.2030, 43.7340}, % O5'
{39.4850, 8.9301, 44.6977}, % C5'
{39.0638, 9.8199, 44.2296}, % H5'
{40.0757, 9.0713, 45.6029}, % H5''
{38.3102, 8.0414, 45.0789}, % C4'
{37.7842, 8.4637, 45.9351}, % H4'
{37.4200, 7.9453, 43.9769}, % O4'
{37.2249, 6.5609, 43.6273}, % C1'
{36.3360, 6.2168, 44.1561}, % H1'
{38.4347, 5.8414, 44.1590}, % C2'
{39.2688, 5.9974, 43.4749}, % H2''
{38.2344, 4.4907, 44.4348}, % O2'
{37.6374, 4.0386, 43.8341}, % H2'
{38.6926, 6.6079, 45.4637}, % C3'
{39.7585, 6.5640, 45.6877}, % H3'
{37.8238, 6.0705, 46.4723}, % O3'
{33.9162, 6.2598, 39.7758}, % N1
{34.6709, 6.5759, 42.0215}, % N3
{33.7257, 6.5186, 41.0858}, % C2
{35.8935, 6.3324, 41.5018}, % C4
{36.2105, 6.0601, 40.1932}, % C5
{35.1538, 6.0151, 39.2537}, % C6
a, {
{35.3088, 5.7642, 37.9649}, % N6
{37.5818, 5.8677, 40.0507}, % N7
{37.0932, 6.3197, 42.1810}, % N9
{38.0509, 6.0354, 41.2635}, % C8
{32.6830, 6.6898, 41.3532}, % H2
{36.2305, 5.5855, 37.5925}, % H61
{34.5056, 5.7512, 37.3528}, % H62
{39.1318, 5.8993, 41.2285}} % H8
}.
rA09() ->
{
{0.8467, 0.4166, -0.3311, % dgf_base_tfo
-0.3962, 0.9089, 0.1303,
0.3552, 0.0209, 0.9346,
-42.7319, -26.6223, -29.8163},
{0.7529, 0.1548, 0.6397, % p_o3'_275_tfo
0.2952, -0.9481, -0.1180,
0.5882, 0.2777, -0.7595,
-58.8919, -11.3095, 6.0866},
{-0.0239, 0.9667, -0.2546, % p_o3'_180_tfo
0.9731, -0.0359, -0.2275,
-0.2290, -0.2532, -0.9399,
3.5401, -29.7913, 52.2796},
{-0.8912, -0.4531, 0.0242, % p_o3'_60_tfo
-0.1183, 0.1805, -0.9764,
0.4380, -0.8730, -0.2145,
19.9023, 54.8054, 15.2799},
{41.8210, 8.3880, 43.5890}, % P
{42.5400, 8.0450, 44.8330}, % O1P
{42.2470, 9.6920, 42.9910}, % O2P
{40.2550, 8.2030, 43.7340}, % O5'
{39.3505, 8.4697, 42.6565}, % C5'
{39.1377, 7.5433, 42.1230}, % H5'
{39.7203, 9.3119, 42.0717}, % H5''
{38.0405, 8.9195, 43.2869}, % C4'
{37.6479, 8.1347, 43.9335}, % H4'
{38.2691, 10.0933, 44.0524}, % O4'
{37.3999, 11.1488, 43.5973}, % C1'
{36.5061, 11.1221, 44.2206}, % H1'
{37.0364, 10.7838, 42.1836}, % C2'
{37.8636, 11.0489, 41.5252}, % H2''
{35.8275, 11.3133, 41.7379}, % O2'
{35.6214, 12.1896, 42.0714}, % H2'
{36.9316, 9.2556, 42.2837}, % C3'
{37.1778, 8.8260, 41.3127}, % H3'
{35.6285, 8.9334, 42.7926}, % O3'
{38.1482, 15.2833, 46.4641}, % N1
{37.3641, 13.0968, 45.9007}, % N3
{37.5032, 14.1288, 46.7300}, % C2
{37.9570, 13.3377, 44.7113}, % C4
{38.6397, 14.4660, 44.3267}, % C5
{38.7473, 15.5229, 45.2609}, % C6
a, {
{39.3720, 16.6649, 45.0297}, % N6
{39.1079, 14.3351, 43.0223}, % N7
{38.0132, 12.4868, 43.6280}, % N9
{38.7058, 13.1402, 42.6620}, % C8
{37.0731, 14.0857, 47.7306}, % H2
{39.8113, 16.8281, 44.1350}, % H61
{39.4100, 17.3741, 45.7478}, % H62
{39.0412, 12.9660, 41.6397}} % H8
}.
rA10() ->
{
{0.7063, 0.6317, -0.3196, % dgf_base_tfo
-0.0403, -0.4149, -0.9090,
-0.7068, 0.6549, -0.2676,
6.4402, -52.1496, 30.8246},
{0.7529, 0.1548, 0.6397, % p_o3'_275_tfo
0.2952, -0.9481, -0.1180,
0.5882, 0.2777, -0.7595,
-58.8919, -11.3095, 6.0866},
{-0.0239, 0.9667, -0.2546, % p_o3'_180_tfo
0.9731, -0.0359, -0.2275,
-0.2290, -0.2532, -0.9399,
3.5401, -29.7913, 52.2796},
{-0.8912, -0.4531, 0.0242, % p_o3'_60_tfo
-0.1183, 0.1805, -0.9764,
0.4380, -0.8730, -0.2145,
19.9023, 54.8054, 15.2799},
{41.8210, 8.3880, 43.5890}, % P
{42.5400, 8.0450, 44.8330}, % O1P
{42.2470, 9.6920, 42.9910}, % O2P
{40.2550, 8.2030, 43.7340}, % O5'
{39.4850, 8.9301, 44.6977}, % C5'
{39.0638, 9.8199, 44.2296}, % H5'
{40.0757, 9.0713, 45.6029}, % H5''
{38.3102, 8.0414, 45.0789}, % C4'
{37.7099, 7.8166, 44.1973}, % H4'
{38.8012, 6.8321, 45.6380}, % O4'
{38.2431, 6.6413, 46.9529}, % C1'
{37.3505, 6.0262, 46.8385}, % H1'
{37.8484, 8.0156, 47.4214}, % C2'
{38.7381, 8.5406, 47.7690}, % H2''
{36.8286, 8.0368, 48.3701}, % O2'
{36.8392, 7.3063, 48.9929}, % H2'
{37.3576, 8.6512, 46.1132}, % C3'
{37.5207, 9.7275, 46.1671}, % H3'
{35.9985, 8.2392, 45.9032}, % O3'
{39.9117, 2.2278, 48.8527}, % N1
{38.6207, 3.6941, 47.4757}, % N3
{38.9872, 2.4888, 47.9057}, % C2
{39.2961, 4.6720, 48.1174}, % C4
{40.2546, 4.5307, 49.0912}, % C5
{40.5932, 3.2189, 49.4985}, % C6
a, {
{41.4938, 2.9317, 50.4229}, % N6
{40.7195, 5.7755, 49.5060}, % N7
{39.1730, 6.0305, 47.9170}, % N9
{40.0413, 6.6250, 48.7728}, % C8
{38.5257, 1.5960, 47.4838}, % H2
{41.9907, 3.6753, 50.8921}, % H61
{41.6848, 1.9687, 50.6599}, % H62
{40.3571, 7.6321, 49.0452}} % H8
}.
rAs() -> [rA01(),rA02(),rA03(),rA04(),rA05(),rA06(),rA07(),
rA08(),rA09(),rA10()].
rC() ->
{
{-0.0359, -0.8071, 0.5894, % dgf_base_tfo
-0.2669, 0.5761, 0.7726,
-0.9631, -0.1296, -0.2361,
0.1584, 8.3434, 0.5434},
{-0.8313, -0.4738, -0.2906, % p_o3'_275_tfo
0.0649, 0.4366, -0.8973,
0.5521, -0.7648, -0.3322,
1.6833, 6.8060, -7.0011},
{0.3445, -0.7630, 0.5470, % p_o3'_180_tfo
-0.4628, -0.6450, -0.6082,
0.8168, -0.0436, -0.5753,
-6.8179, -3.9778, -5.9887},
{0.5855, 0.7931, -0.1682, % p_o3'_60_tfo
0.8103, -0.5790, 0.0906,
-0.0255, -0.1894, -0.9816,
6.1203, -7.1051, 3.1984},
{2.6760, -8.4960, 3.2880}, % P
{1.4950, -7.6230, 3.4770}, % O1P
{2.9490, -9.4640, 4.3740}, % O2P
{3.9730, -7.5950, 3.0340}, % O5'
{5.2430, -8.2420, 2.8260}, % C5'
{5.1974, -8.8497, 1.9223}, % H5'
{5.5548, -8.7348, 3.7469}, % H5''
{6.3140, -7.2060, 2.5510}, % C4'
{7.2954, -7.6762, 2.4898}, % H4'
{6.0140, -6.5420, 1.2890}, % O4'
{6.4190, -5.1840, 1.3620}, % C1'
{7.1608, -5.0495, 0.5747}, % H1'
{7.0760, -4.9560, 2.7270}, % C2'
{6.7770, -3.9803, 3.1099}, % H2''
{8.4500, -5.1930, 2.5810}, % O2'
{8.8309, -4.8755, 1.7590}, % H2'
{6.4060, -6.0590, 3.5580}, % C3'
{5.4021, -5.7313, 3.8281}, % H3'
{7.1570, -6.4240, 4.7070}, % O3'
{5.2170, -4.3260, 1.1690}, % N1
{4.2960, -2.2560, 0.6290}, % N3
{5.4330, -3.0200, 0.7990}, % C2
{2.9930, -2.6780, 0.7940}, % C4
{2.8670, -4.0630, 1.1830}, % C5
{3.9570, -4.8300, 1.3550}, % C6
c, {
{2.0187, -1.8047, 0.5874}, % N4
{6.5470, -2.5560, 0.6290}, % O2
{1.0684, -2.1236, 0.7109}, % H41
{2.2344, -0.8560, 0.3162}, % H42
{1.8797, -4.4972, 1.3404}, % H5
{3.8479, -5.8742, 1.6480}} % H6
}.
rC01() ->
{
{-0.0137, -0.8012, 0.5983, % dgf_base_tfo
-0.2523, 0.5817, 0.7733,
-0.9675, -0.1404, -0.2101,
0.2031, 8.3874, 0.4228},
{-0.8313, -0.4738, -0.2906, % p_o3'_275_tfo
0.0649, 0.4366, -0.8973,
0.5521, -0.7648, -0.3322,
1.6833, 6.8060, -7.0011},
{0.3445, -0.7630, 0.5470, % p_o3'_180_tfo
-0.4628, -0.6450, -0.6082,
0.8168, -0.0436, -0.5753,
-6.8179, -3.9778, -5.9887},
{0.5855, 0.7931, -0.1682, % p_o3'_60_tfo
0.8103, -0.5790, 0.0906,
-0.0255, -0.1894, -0.9816,
6.1203, -7.1051, 3.1984},
{2.6760, -8.4960, 3.2880}, % P
{1.4950, -7.6230, 3.4770}, % O1P
{2.9490, -9.4640, 4.3740}, % O2P
{3.9730, -7.5950, 3.0340}, % O5'
{5.2416, -8.2422, 2.8181}, % C5'
{5.2050, -8.8128, 1.8901}, % H5'
{5.5368, -8.7738, 3.7227}, % H5''
{6.3232, -7.2037, 2.6002}, % C4'
{7.3048, -7.6757, 2.5577}, % H4'
{6.0635, -6.5092, 1.3456}, % O4'
{6.4697, -5.1547, 1.4629}, % C1'
{7.2354, -5.0043, 0.7018}, % H1'
{7.0856, -4.9610, 2.8521}, % C2'
{6.7777, -3.9935, 3.2487}, % H2''
{8.4627, -5.1992, 2.7423}, % O2'
{8.8693, -4.8638, 1.9399}, % H2'
{6.3877, -6.0809, 3.6362}, % C3'
{5.3770, -5.7562, 3.8834}, % H3'
{7.1024, -6.4754, 4.7985}, % O3'
{5.2764, -4.2883, 1.2538}, % N1
{4.3777, -2.2062, 0.7229}, % N3
{5.5069, -2.9779, 0.9088}, % C2
{3.0693, -2.6246, 0.8500}, % C4
{2.9279, -4.0146, 1.2149}, % C5
{4.0101, -4.7892, 1.4017}, % C6
c, {
{2.1040, -1.7437, 0.6331}, % N4
{6.6267, -2.5166, 0.7728}, % O2
{1.1496, -2.0600, 0.7287}, % H41
{2.3303, -0.7921, 0.3815}, % H42
{1.9353, -4.4465, 1.3419}, % H5
{3.8895, -5.8371, 1.6762}} % H6
}.
rC02() ->
{
{0.5141, 0.0246, 0.8574, % dgf_base_tfo
-0.5547, -0.7529, 0.3542,
0.6542, -0.6577, -0.3734,
-9.1111, -3.4598, -3.2939},
{-0.8313, -0.4738, -0.2906, % p_o3'_275_tfo
0.0649, 0.4366, -0.8973,
0.5521, -0.7648, -0.3322,
1.6833, 6.8060, -7.0011},
{0.3445, -0.7630, 0.5470, % p_o3'_180_tfo
-0.4628, -0.6450, -0.6082,
0.8168, -0.0436, -0.5753,
-6.8179, -3.9778, -5.9887},
{0.5855, 0.7931, -0.1682, % p_o3'_60_tfo
0.8103, -0.5790, 0.0906,
-0.0255, -0.1894, -0.9816,
6.1203, -7.1051, 3.1984},
{2.6760, -8.4960, 3.2880}, % P
{1.4950, -7.6230, 3.4770}, % O1P
{2.9490, -9.4640, 4.3740}, % O2P
{3.9730, -7.5950, 3.0340}, % O5'
{4.3825, -6.6585, 4.0489}, % C5'
{4.6841, -7.2019, 4.9443}, % H5'
{3.6189, -5.8889, 4.1625}, % H5''
{5.6255, -5.9175, 3.5998}, % C4'
{5.8732, -5.1228, 4.3034}, % H4'
{6.7337, -6.8605, 3.5222}, % O4'
{7.5932, -6.4923, 2.4548}, % C1'
{8.5661, -6.2983, 2.9064}, % H1'
{7.0527, -5.2012, 1.8322}, % C2'
{7.1627, -5.2525, 0.7490}, % H2''
{7.6666, -4.1249, 2.4880}, % O2'
{8.5944, -4.2543, 2.6981}, % H2'
{5.5661, -5.3029, 2.2009}, % C3'
{5.0841, -6.0018, 1.5172}, % H3'
{4.9062, -4.0452, 2.2042}, % O3'
{7.6298, -7.6136, 1.4752}, % N1
{8.6945, -8.7046, -0.2857}, % N3
{8.6943, -7.6514, 0.6066}, % C2
{7.7426, -9.6987, -0.3801}, % C4
{6.6642, -9.5742, 0.5722}, % C5
{6.6391, -8.5592, 1.4526}, % C6
c, {
{7.9033, -10.6371, -1.3010}, % N4
{9.5840, -6.8186, 0.6136}, % O2
{7.2009, -11.3604, -1.3619}, % H41
{8.7058, -10.6168, -1.9140}, % H42
{5.8585, -10.3083, 0.5822}, % H5
{5.8197, -8.4773, 2.1667}} % H6
}.
rC03() ->
{
{-0.4993, 0.0476, 0.8651, % dgf_base_tfo
0.8078, -0.3353, 0.4847,
0.3132, 0.9409, 0.1290,
6.2989, -5.2303, -3.8577},
{-0.8313, -0.4738, -0.2906, % p_o3'_275_tfo
0.0649, 0.4366, -0.8973,
0.5521, -0.7648, -0.3322,
1.6833, 6.8060, -7.0011},
{0.3445, -0.7630, 0.5470, % p_o3'_180_tfo
-0.4628, -0.6450, -0.6082,
0.8168, -0.0436, -0.5753,
-6.8179, -3.9778, -5.9887},
{0.5855, 0.7931, -0.1682, % p_o3'_60_tfo
0.8103, -0.5790, 0.0906,
-0.0255, -0.1894, -0.9816,
6.1203, -7.1051, 3.1984},
{2.6760, -8.4960, 3.2880}, % P
{1.4950, -7.6230, 3.4770}, % O1P
{2.9490, -9.4640, 4.3740}, % O2P
{3.9730, -7.5950, 3.0340}, % O5'
{3.9938, -6.7042, 1.9023}, % C5'
{3.2332, -5.9343, 2.0319}, % H5'
{3.9666, -7.2863, 0.9812}, % H5''
{5.3098, -5.9546, 1.8564}, % C4'
{5.3863, -5.3702, 0.9395}, % H4'
{5.3851, -5.0642, 3.0076}, % O4'
{6.7315, -4.9724, 3.4462}, % C1'
{7.0033, -3.9202, 3.3619}, % H1'
{7.5997, -5.8018, 2.4948}, % C2'
{8.3627, -6.3254, 3.0707}, % H2''
{8.0410, -4.9501, 1.4724}, % O2'
{8.2781, -4.0644, 1.7570}, % H2'
{6.5701, -6.8129, 1.9714}, % C3'
{6.4186, -7.5809, 2.7299}, % H3'
{6.9357, -7.3841, 0.7235}, % O3'
{6.8024, -5.4718, 4.8475}, % N1
{7.9218, -5.5700, 6.8877}, % N3
{7.8908, -5.0886, 5.5944}, % C2
{6.9789, -6.3827, 7.4823}, % C4
{5.8742, -6.7319, 6.6202}, % C5
{5.8182, -6.2769, 5.3570}, % C6
c, {
{7.1702, -6.7511, 8.7402}, % N4
{8.7747, -4.3728, 5.1568}, % O2
{6.4741, -7.3461, 9.1662}, % H41
{7.9889, -6.4396, 9.2429}, % H42
{5.0736, -7.3713, 6.9922}, % H5
{4.9784, -6.5473, 4.7170}} % H6
}.
rC04() ->
{
{-0.5669, -0.8012, 0.1918, % dgf_base_tfo
-0.8129, 0.5817, 0.0273,
-0.1334, -0.1404, -0.9811,
-0.3279, 8.3874, 0.3355},
{-0.8313, -0.4738, -0.2906, % p_o3'_275_tfo
0.0649, 0.4366, -0.8973,
0.5521, -0.7648, -0.3322,
1.6833, 6.8060, -7.0011},
{0.3445, -0.7630, 0.5470, % p_o3'_180_tfo
-0.4628, -0.6450, -0.6082,
0.8168, -0.0436, -0.5753,
-6.8179, -3.9778, -5.9887},
{0.5855, 0.7931, -0.1682, % p_o3'_60_tfo
0.8103, -0.5790, 0.0906,
-0.0255, -0.1894, -0.9816,
6.1203, -7.1051, 3.1984},
{2.6760, -8.4960, 3.2880}, % P
{1.4950, -7.6230, 3.4770}, % O1P
{2.9490, -9.4640, 4.3740}, % O2P
{3.9730, -7.5950, 3.0340}, % O5'
{5.2416, -8.2422, 2.8181}, % C5'
{5.2050, -8.8128, 1.8901}, % H5'
{5.5368, -8.7738, 3.7227}, % H5''
{6.3232, -7.2037, 2.6002}, % C4'
{7.3048, -7.6757, 2.5577}, % H4'
{6.0635, -6.5092, 1.3456}, % O4'
{6.4697, -5.1547, 1.4629}, % C1'
{7.2354, -5.0043, 0.7018}, % H1'
{7.0856, -4.9610, 2.8521}, % C2'
{6.7777, -3.9935, 3.2487}, % H2''
{8.4627, -5.1992, 2.7423}, % O2'
{8.8693, -4.8638, 1.9399}, % H2'
{6.3877, -6.0809, 3.6362}, % C3'
{5.3770, -5.7562, 3.8834}, % H3'
{7.1024, -6.4754, 4.7985}, % O3'
{5.2764, -4.2883, 1.2538}, % N1
{3.8961, -3.0896, -0.1893}, % N3
{5.0095, -3.8907, -0.0346}, % C2
{3.0480, -2.6632, 0.8116}, % C4
{3.4093, -3.1310, 2.1292}, % C5
{4.4878, -3.9124, 2.3088}, % C6
c, {
{2.0216, -1.8941, 0.4804}, % N4
{5.7005, -4.2164, -0.9842}, % O2
{1.4067, -1.5873, 1.2205}, % H41
{1.8721, -1.6319, -0.4835}, % H42
{2.8048, -2.8507, 2.9918}, % H5
{4.7491, -4.2593, 3.3085}} % H6
}.
rC05() ->
{
{-0.6298, 0.0246, 0.7763, % dgf_base_tfo
-0.5226, -0.7529, -0.4001,
0.5746, -0.6577, 0.4870,
-0.0208, -3.4598, -9.6882},
{-0.8313, -0.4738, -0.2906, % p_o3'_275_tfo
0.0649, 0.4366, -0.8973,
0.5521, -0.7648, -0.3322,
1.6833, 6.8060, -7.0011},
{0.3445, -0.7630, 0.5470, % p_o3'_180_tfo
-0.4628, -0.6450, -0.6082,
0.8168, -0.0436, -0.5753,
-6.8179, -3.9778, -5.9887},
{0.5855, 0.7931, -0.1682, % p_o3'_60_tfo
0.8103, -0.5790, 0.0906,
-0.0255, -0.1894, -0.9816,
6.1203, -7.1051, 3.1984},
{2.6760, -8.4960, 3.2880}, % P
{1.4950, -7.6230, 3.4770}, % O1P
{2.9490, -9.4640, 4.3740}, % O2P
{3.9730, -7.5950, 3.0340}, % O5'
{4.3825, -6.6585, 4.0489}, % C5'
{4.6841, -7.2019, 4.9443}, % H5'
{3.6189, -5.8889, 4.1625}, % H5''
{5.6255, -5.9175, 3.5998}, % C4'
{5.8732, -5.1228, 4.3034}, % H4'
{6.7337, -6.8605, 3.5222}, % O4'
{7.5932, -6.4923, 2.4548}, % C1'
{8.5661, -6.2983, 2.9064}, % H1'
{7.0527, -5.2012, 1.8322}, % C2'
{7.1627, -5.2525, 0.7490}, % H2''
{7.6666, -4.1249, 2.4880}, % O2'
{8.5944, -4.2543, 2.6981}, % H2'
{5.5661, -5.3029, 2.2009}, % C3'
{5.0841, -6.0018, 1.5172}, % H3'
{4.9062, -4.0452, 2.2042}, % O3'
{7.6298, -7.6136, 1.4752}, % N1
{8.5977, -9.5977, 0.7329}, % N3
{8.5951, -8.5745, 1.6594}, % C2
{7.7372, -9.7371, -0.3364}, % C4
{6.7596, -8.6801, -0.4476}, % C5
{6.7338, -7.6721, 0.4408}, % C6
c, {
{7.8849, -10.7881, -1.1289}, % N4
{9.3993, -8.5377, 2.5743}, % O2
{7.2499, -10.8809, -1.9088}, % H41
{8.6122, -11.4649, -0.9468}, % H42
{6.0317, -8.6941, -1.2588}, % H5
{5.9901, -6.8809, 0.3459}} % H6
}.
rC06() ->
{
{-0.9837, 0.0476, -0.1733, % dgf_base_tfo
-0.1792, -0.3353, 0.9249,
-0.0141, 0.9409, 0.3384,
5.7793, -5.2303, 4.5997},
{-0.8313, -0.4738, -0.2906, % p_o3'_275_tfo
0.0649, 0.4366, -0.8973,
0.5521, -0.7648, -0.3322,
1.6833, 6.8060, -7.0011},
{0.3445, -0.7630, 0.5470, % p_o3'_180_tfo
-0.4628, -0.6450, -0.6082,
0.8168, -0.0436, -0.5753,
-6.8179, -3.9778, -5.9887},
{0.5855, 0.7931, -0.1682, % p_o3'_60_tfo
0.8103, -0.5790, 0.0906,
-0.0255, -0.1894, -0.9816,
6.1203, -7.1051, 3.1984},
{2.6760, -8.4960, 3.2880}, % P
{1.4950, -7.6230, 3.4770}, % O1P
{2.9490, -9.4640, 4.3740}, % O2P
{3.9730, -7.5950, 3.0340}, % O5'
{3.9938, -6.7042, 1.9023}, % C5'
{3.2332, -5.9343, 2.0319}, % H5'
{3.9666, -7.2863, 0.9812}, % H5''
{5.3098, -5.9546, 1.8564}, % C4'
{5.3863, -5.3702, 0.9395}, % H4'
{5.3851, -5.0642, 3.0076}, % O4'
{6.7315, -4.9724, 3.4462}, % C1'
{7.0033, -3.9202, 3.3619}, % H1'
{7.5997, -5.8018, 2.4948}, % C2'
{8.3627, -6.3254, 3.0707}, % H2''
{8.0410, -4.9501, 1.4724}, % O2'
{8.2781, -4.0644, 1.7570}, % H2'
{6.5701, -6.8129, 1.9714}, % C3'
{6.4186, -7.5809, 2.7299}, % H3'
{6.9357, -7.3841, 0.7235}, % O3'
{6.8024, -5.4718, 4.8475}, % N1
{6.6920, -5.0495, 7.1354}, % N3
{6.6201, -4.5500, 5.8506}, % C2
{6.9254, -6.3614, 7.4926}, % C4
{7.1046, -7.2543, 6.3718}, % C5
{7.0391, -6.7951, 5.1106}, % C6
c, {
{6.9614, -6.6648, 8.7815}, % N4
{6.4083, -3.3696, 5.6340}, % O2
{7.1329, -7.6280, 9.0324}, % H41
{6.8204, -5.9469, 9.4777}, % H42
{7.2954, -8.3135, 6.5440}, % H5
{7.1753, -7.4798, 4.2735}} % H6
}.
rC07() ->
{
{0.0033, 0.2720, -0.9623, % dgf_base_tfo
0.3013, -0.9179, -0.2584,
-0.9535, -0.2891, -0.0850,
43.0403, 13.7233, 34.5710},
{0.9187, 0.2887, 0.2694, % p_o3'_275_tfo
0.0302, -0.7316, 0.6811,
0.3938, -0.6176, -0.6808,
-48.4330, 26.3254, 13.6383},
{-0.1504, 0.7744, -0.6145, % p_o3'_180_tfo
0.7581, 0.4893, 0.4311,
0.6345, -0.4010, -0.6607,
-31.9784, -13.4285, 44.9650},
{-0.6236, -0.7810, -0.0337, % p_o3'_60_tfo
-0.6890, 0.5694, -0.4484,
0.3694, -0.2564, -0.8932,
12.1105, 30.8774, 46.0946},
{33.3400, 11.0980, 46.1750}, % P
{34.5130, 10.2320, 46.4660}, % O1P
{33.4130, 12.3960, 46.9340}, % O2P
{31.9810, 10.3390, 46.4820}, % O5'
{30.8152, 11.1619, 46.2003}, % C5'
{30.4519, 10.9454, 45.1957}, % H5'
{31.0379, 12.2016, 46.4400}, % H5''
{29.7081, 10.7448, 47.1428}, % C4'
{28.8710, 11.4416, 47.0982}, % H4'
{29.2550, 9.4394, 46.8162}, % O4'
{29.3907, 8.5625, 47.9460}, % C1'
{28.4416, 8.5669, 48.4819}, % H1'
{30.4468, 9.2031, 48.7952}, % C2'
{31.4222, 8.9651, 48.3709}, % H2''
{30.3701, 8.9157, 50.1624}, % O2'
{30.0652, 8.0304, 50.3740}, % H2'
{30.1622, 10.6879, 48.6120}, % C3'
{31.0952, 11.2399, 48.7254}, % H3'
{29.1076, 11.1535, 49.4702}, % O3'
{29.7883, 7.2209, 47.5235}, % N1
{29.1825, 5.0438, 46.8275}, % N3
{28.8008, 6.2912, 47.2263}, % C2
{30.4888, 4.6890, 46.7186}, % C4
{31.5034, 5.6405, 47.0249}, % C5
{31.1091, 6.8691, 47.4156}, % C6
c, {
{30.8109, 3.4584, 46.3336}, % N4
{27.6171, 6.5989, 47.3189}, % O2
{31.7923, 3.2301, 46.2638}, % H41
{30.0880, 2.7857, 46.1215}, % H42
{32.5542, 5.3634, 46.9395}, % H5
{31.8523, 7.6279, 47.6603}} % H6
}.
rC08() ->
{
{0.0797, -0.6026, -0.7941, % dgf_base_tfo
0.7939, 0.5201, -0.3150,
0.6028, -0.6054, 0.5198,
-36.8341, 41.5293, 1.6628},
{0.9187, 0.2887, 0.2694, % p_o3'_275_tfo
0.0302, -0.7316, 0.6811,
0.3938, -0.6176, -0.6808,
-48.4330, 26.3254, 13.6383},
{-0.1504, 0.7744, -0.6145, % p_o3'_180_tfo
0.7581, 0.4893, 0.4311,
0.6345, -0.4010, -0.6607,
-31.9784, -13.4285, 44.9650},
{-0.6236, -0.7810, -0.0337, % p_o3'_60_tfo
-0.6890, 0.5694, -0.4484,
0.3694, -0.2564, -0.8932,
12.1105, 30.8774, 46.0946},
{33.3400, 11.0980, 46.1750}, % P
{34.5130, 10.2320, 46.4660}, % O1P
{33.4130, 12.3960, 46.9340}, % O2P
{31.9810, 10.3390, 46.4820}, % O5'
{31.8779, 9.9369, 47.8760}, % C5'
{31.3239, 10.6931, 48.4322}, % H5'
{32.8647, 9.6624, 48.2489}, % H5''
{31.0429, 8.6773, 47.9401}, % C4'
{31.0779, 8.2331, 48.9349}, % H4'
{29.6956, 8.9669, 47.5983}, % O4'
{29.2784, 8.1700, 46.4782}, % C1'
{28.8006, 7.2731, 46.8722}, % H1'
{30.5544, 7.7940, 45.7875}, % C2'
{30.8837, 8.6410, 45.1856}, % H2''
{30.5100, 6.6007, 45.0582}, % O2'
{29.6694, 6.4168, 44.6326}, % H2'
{31.5146, 7.5954, 46.9527}, % C3'
{32.5255, 7.8261, 46.6166}, % H3'
{31.3876, 6.2951, 47.5516}, % O3'
{28.3976, 8.9302, 45.5933}, % N1
{26.2155, 9.6135, 44.9910}, % N3
{27.0281, 8.8961, 45.8192}, % C2
{26.7044, 10.3489, 43.9595}, % C4
{28.1088, 10.3837, 43.7247}, % C5
{28.8978, 9.6708, 44.5535}, % C6
c, {
{25.8715, 11.0249, 43.1749}, % N4
{26.5733, 8.2371, 46.7484}, % O2
{26.2707, 11.5609, 42.4177}, % H41
{24.8760, 10.9939, 43.3427}, % H42
{28.5089, 10.9722, 42.8990}, % H5
{29.9782, 9.6687, 44.4097}} % H6
}.
rC09() ->
{
{0.8727, 0.4760, -0.1091, % dgf_base_tfo
-0.4188, 0.6148, -0.6682,
-0.2510, 0.6289, 0.7359,
-8.1687, -52.0761, -25.0726},
{0.9187, 0.2887, 0.2694, % p_o3'_275_tfo
0.0302, -0.7316, 0.6811,
0.3938, -0.6176, -0.6808,
-48.4330, 26.3254, 13.6383},
{-0.1504, 0.7744, -0.6145, % p_o3'_180_tfo
0.7581, 0.4893, 0.4311,
0.6345, -0.4010, -0.6607,
-31.9784, -13.4285, 44.9650},
{-0.6236, -0.7810, -0.0337, % p_o3'_60_tfo
-0.6890, 0.5694, -0.4484,
0.3694, -0.2564, -0.8932,
12.1105, 30.8774, 46.0946},
{33.3400, 11.0980, 46.1750}, % P
{34.5130, 10.2320, 46.4660}, % O1P
{33.4130, 12.3960, 46.9340}, % O2P
{31.9810, 10.3390, 46.4820}, % O5'
{30.8152, 11.1619, 46.2003}, % C5'
{30.4519, 10.9454, 45.1957}, % H5'
{31.0379, 12.2016, 46.4400}, % H5''
{29.7081, 10.7448, 47.1428}, % C4'
{29.4506, 9.6945, 47.0059}, % H4'
{30.1045, 10.9634, 48.4885}, % O4'
{29.1794, 11.8418, 49.1490}, % C1'
{28.4388, 11.2210, 49.6533}, % H1'
{28.5211, 12.6008, 48.0367}, % C2'
{29.1947, 13.3949, 47.7147}, % H2''
{27.2316, 13.0683, 48.3134}, % O2'
{27.0851, 13.3391, 49.2227}, % H2'
{28.4131, 11.5507, 46.9391}, % C3'
{28.4451, 12.0512, 45.9713}, % H3'
{27.2707, 10.6955, 47.1097}, % O3'
{29.8751, 12.7405, 50.0682}, % N1
{30.7172, 13.1841, 52.2328}, % N3
{30.0617, 12.3404, 51.3847}, % C2
{31.1834, 14.3941, 51.8297}, % C4
{30.9913, 14.8074, 50.4803}, % C5
{30.3434, 13.9610, 49.6548}, % C6
c, {
{31.8090, 15.1847, 52.6957}, % N4
{29.6470, 11.2494, 51.7616}, % O2
{32.1422, 16.0774, 52.3606}, % H41
{31.9392, 14.8893, 53.6527}, % H42
{31.3632, 15.7771, 50.1491}, % H5
{30.1742, 14.2374, 48.6141}} % H6
}.
rC10() ->
{
{0.1549, 0.8710, -0.4663, % dgf_base_tfo
0.6768, -0.4374, -0.5921,
-0.7197, -0.2239, -0.6572,
25.2447, -14.1920, 50.3201},
{0.9187, 0.2887, 0.2694, % p_o3'_275_tfo
0.0302, -0.7316, 0.6811,
0.3938, -0.6176, -0.6808,
-48.4330, 26.3254, 13.6383},
{-0.1504, 0.7744, -0.6145, % p_o3'_180_tfo
0.7581, 0.4893, 0.4311,
0.6345, -0.4010, -0.6607,
-31.9784, -13.4285, 44.9650},
{-0.6236, -0.7810, -0.0337, % p_o3'_60_tfo
-0.6890, 0.5694, -0.4484,
0.3694, -0.2564, -0.8932,
12.1105, 30.8774, 46.0946},
{33.3400, 11.0980, 46.1750}, % P
{34.5130, 10.2320, 46.4660}, % O1P
{33.4130, 12.3960, 46.9340}, % O2P
{31.9810, 10.3390, 46.4820}, % O5'
{31.8779, 9.9369, 47.8760}, % C5'
{31.3239, 10.6931, 48.4322}, % H5'
{32.8647, 9.6624, 48.2489}, % H5''
{31.0429, 8.6773, 47.9401}, % C4'
{30.0440, 8.8473, 47.5383}, % H4'
{31.6749, 7.6351, 47.2119}, % O4'
{31.9159, 6.5022, 48.0616}, % C1'
{31.0691, 5.8243, 47.9544}, % H1'
{31.9300, 7.0685, 49.4493}, % C2'
{32.9024, 7.5288, 49.6245}, % H2''
{31.5672, 6.1750, 50.4632}, % O2'
{31.8416, 5.2663, 50.3200}, % H2'
{30.8618, 8.1514, 49.3749}, % C3'
{31.1122, 8.9396, 50.0850}, % H3'
{29.5351, 7.6245, 49.5409}, % O3'
{33.1890, 5.8629, 47.7343}, % N1
{34.4004, 4.2636, 46.4828}, % N3
{33.2062, 4.8497, 46.7851}, % C2
{35.5600, 4.6374, 47.0822}, % C4
{35.5444, 5.6751, 48.0577}, % C5
{34.3565, 6.2450, 48.3432}, % C6
c, {
{36.6977, 4.0305, 46.7598}, % N4
{32.1661, 4.5034, 46.2348}, % O2
{37.5405, 4.3347, 47.2259}, % H41
{36.7033, 3.2923, 46.0706}, % H42
{36.4713, 5.9811, 48.5428}, % H5
{34.2986, 7.0426, 49.0839}} % H6
}.
rCs() -> [rC01(),rC02(),rC03(),rC04(),rC05(),rC06(),rC07(),
rC08(),rC09(),rC10()].
rG() ->
{
{-0.0018, -0.8207, 0.5714, % dgf_base_tfo
0.2679, -0.5509, -0.7904,
0.9634, 0.1517, 0.2209,
0.0073, 8.4030, 0.6232},
{-0.8143, -0.5091, -0.2788, % p_o3'_275_tfo
-0.0433, -0.4257, 0.9038,
-0.5788, 0.7480, 0.3246,
1.5227, 6.9114, -7.0765},
{0.3822, -0.7477, 0.5430, % p_o3'_180_tfo
0.4552, 0.6637, 0.5935,
-0.8042, 0.0203, 0.5941,
-6.9472, -4.1186, -5.9108},
{0.5640, 0.8007, -0.2022, % p_o3'_60_tfo
-0.8247, 0.5587, -0.0878,
0.0426, 0.2162, 0.9754,
6.2694, -7.0540, 3.3316},
{2.8930, 8.5380, -3.3280}, % P
{1.6980, 7.6960, -3.5570}, % O1P
{3.2260, 9.5010, -4.4020}, % O2P
{4.1590, 7.6040, -3.0340}, % O5'
{5.4550, 8.2120, -2.8810}, % C5'
{5.4546, 8.8508, -1.9978}, % H5'
{5.7588, 8.6625, -3.8259}, % H5''
{6.4970, 7.1480, -2.5980}, % C4'
{7.4896, 7.5919, -2.5214}, % H4'
{6.1630, 6.4860, -1.3440}, % O4'
{6.5400, 5.1200, -1.4190}, % C1'
{7.2763, 4.9681, -0.6297}, % H1'
{7.1940, 4.8830, -2.7770}, % C2'
{6.8667, 3.9183, -3.1647}, % H2''
{8.5860, 5.0910, -2.6140}, % O2'
{8.9510, 4.7626, -1.7890}, % H2'
{6.5720, 6.0040, -3.6090}, % C3'
{5.5636, 5.7066, -3.8966}, % H3'
{7.3801, 6.3562, -4.7350}, % O3'
{4.7150, 0.4910, -0.1360}, % N1
{6.3490, 2.1730, -0.6020}, % N3
{5.9530, 0.9650, -0.2670}, % C2
{5.2900, 2.9790, -0.8260}, % C4
{3.9720, 2.6390, -0.7330}, % C5
{3.6770, 1.3160, -0.3660}, % C6
g, {
{6.8426, 0.0056, -0.0019}, % N2
{3.1660, 3.7290, -1.0360}, % N7
{5.3170, 4.2990, -1.1930}, % N9
{4.0100, 4.6780, -1.2990}, % C8
{2.4280, 0.8450, -0.2360}, % O6
{4.6151, -0.4677, 0.1305}, % H1
{6.6463, -0.9463, 0.2729}, % H21
{7.8170, 0.2642, -0.0640}, % H22
{3.4421, 5.5744, -1.5482}} % H8
}.
% rG01() ->
% {
% {-0.0043, -0.8175, 0.5759, % dgf_base_tfo
% 0.2617, -0.5567, -0.7884,
% 0.9651, 0.1473, 0.2164,
% 0.0359, 8.3929, 0.5532},
% {-0.8143, -0.5091, -0.2788, % p_o3'_275_tfo
% -0.0433, -0.4257, 0.9038,
% -0.5788, 0.7480, 0.3246,
% 1.5227, 6.9114, -7.0765},
% {0.3822, -0.7477, 0.5430, % p_o3'_180_tfo
% 0.4552, 0.6637, 0.5935,
% -0.8042, 0.0203, 0.5941,
% -6.9472, -4.1186, -5.9108},
% {0.5640, 0.8007, -0.2022, % p_o3'_60_tfo
% -0.8247, 0.5587, -0.0878,
% 0.0426, 0.2162, 0.9754,
% 6.2694, -7.0540, 3.3316},
% {2.8930, 8.5380, -3.3280}, % P
% {1.6980, 7.6960, -3.5570}, % O1P
% {3.2260, 9.5010, -4.4020}, % O2P
% {4.1590, 7.6040, -3.0340}, % O5'
% {5.4352, 8.2183, -2.7757}, % C5'
% {5.3830, 8.7883, -1.8481}, % H5'
% {5.7729, 8.7436, -3.6691}, % H5''
% {6.4830, 7.1518, -2.5252}, % C4'
% {7.4749, 7.5972, -2.4482}, % H4'
% {6.1626, 6.4620, -1.2827}, % O4'
% {6.5431, 5.0992, -1.3905}, % C1'
% {7.2871, 4.9328, -0.6114}, % H1'
% {7.1852, 4.8935, -2.7592}, % C2'
% {6.8573, 3.9363, -3.1645}, % H2''
% {8.5780, 5.1025, -2.6046}, % O2'
% {8.9516, 4.7577, -1.7902}, % H2'
% {6.5522, 6.0300, -3.5612}, % C3'
% {5.5420, 5.7356, -3.8459}, % H3'
% {7.3487, 6.4089, -4.6867}, % O3'
% {4.7442, 0.4514, -0.1390}, % N1
% {6.3687, 2.1459, -0.5926}, % N3
% {5.9795, 0.9335, -0.2657}, % C2
% {5.3052, 2.9471, -0.8125}, % C4
% {3.9891, 2.5987, -0.7230}, % C5
% {3.7016, 1.2717, -0.3647}, % C6
% g, {
% {6.8745, -0.0224, -0.0058}, % N2
% {3.1770, 3.6859, -1.0198}, % N7
% {5.3247, 4.2695, -1.1710}, % N9
% {4.0156, 4.6415, -1.2759}, % C8
% {2.4553, 0.7925, -0.2390}, % O6
% {4.6497, -0.5095, 0.1212}, % H1
% {6.6836, -0.9771, 0.2627}, % H21
% {7.8474, 0.2424, -0.0653}, % H22
% {3.4426, 5.5361, -1.5199}} % H8
% }.
% rG02() ->
% {
% {0.5566, 0.0449, 0.8296, % dgf_base_tfo
% 0.5125, 0.7673, -0.3854,
% -0.6538, 0.6397, 0.4041,
% -9.1161, -3.7679, -2.9968},
% {-0.8143, -0.5091, -0.2788, % p_o3'_275_tfo
% -0.0433, -0.4257, 0.9038,
% -0.5788, 0.7480, 0.3246,
% 1.5227, 6.9114, -7.0765},
% {0.3822, -0.7477, 0.5430, % p_o3'_180_tfo
% 0.4552, 0.6637, 0.5935,
% -0.8042, 0.0203, 0.5941,
% -6.9472, -4.1186, -5.9108},
% {0.5640, 0.8007, -0.2022, % p_o3'_60_tfo
% -0.8247, 0.5587, -0.0878,
% 0.0426, 0.2162, 0.9754,
% 6.2694, -7.0540, 3.3316},
% {2.8930, 8.5380, -3.3280}, % P
% {1.6980, 7.6960, -3.5570}, % O1P
% {3.2260, 9.5010, -4.4020}, % O2P
% {4.1590, 7.6040, -3.0340}, % O5'
% {4.5778, 6.6594, -4.0364}, % C5'
% {4.9220, 7.1963, -4.9204}, % H5'
% {3.7996, 5.9091, -4.1764}, % H5''
% {5.7873, 5.8869, -3.5482}, % C4'
% {6.0405, 5.0875, -4.2446}, % H4'
% {6.9135, 6.8036, -3.4310}, % O4'
% {7.7293, 6.4084, -2.3392}, % C1'
% {8.7078, 6.1815, -2.7624}, % H1'
% {7.1305, 5.1418, -1.7347}, % C2'
% {7.2040, 5.1982, -0.6486}, % H2''
% {7.7417, 4.0392, -2.3813}, % O2'
% {8.6785, 4.1443, -2.5630}, % H2'
% {5.6666, 5.2728, -2.1536}, % C3'
% {5.1747, 5.9805, -1.4863}, % H3'
% {4.9997, 4.0086, -2.1973}, % O3'
% {10.3245, 8.5459, 1.5467}, % N1
% {9.8051, 6.9432, -0.1497}, % N3
% {10.5175, 7.4328, 0.8408}, % C2
% {8.7523, 7.7422, -0.4228}, % C4
% {8.4257, 8.9060, 0.2099}, % C5
% {9.2665, 9.3242, 1.2540}, % C6
% g, {
% {11.6077, 6.7966, 1.2752}, % N2
% {7.2750, 9.4537, -0.3428}, % N7
% {7.7962, 7.5519, -1.3859}, % N9
% {6.9479, 8.6157, -1.2771}, % C8
% {9.0664, 10.4462, 1.9610}, % O6
% {10.9838, 8.7524, 2.2697}, % H1
% {12.2274, 7.0896, 2.0170}, % H21
% {11.8502, 5.9398, 0.7984}, % H22
% {6.0430, 8.9853, -1.7594}} % H8
% }.
% rG03() ->
% {
% {-0.5021, 0.0731, 0.8617, % dgf_base_tfo
% -0.8112, 0.3054, -0.4986,
% -0.2996, -0.9494, -0.0940,
% 6.4273, -5.1944, -3.7807},
% {-0.8143, -0.5091, -0.2788, % p_o3'_275_tfo
% -0.0433, -0.4257, 0.9038,
% -0.5788, 0.7480, 0.3246,
% 1.5227, 6.9114, -7.0765},
% {0.3822, -0.7477, 0.5430, % p_o3'_180_tfo
% 0.4552, 0.6637, 0.5935,
% -0.8042, 0.0203, 0.5941,
% -6.9472, -4.1186, -5.9108},
% {0.5640, 0.8007, -0.2022, % p_o3'_60_tfo
% -0.8247, 0.5587, -0.0878,
% 0.0426, 0.2162, 0.9754,
% 6.2694, -7.0540, 3.3316},
% {2.8930, 8.5380, -3.3280}, % P
% {1.6980, 7.6960, -3.5570}, % O1P
% {3.2260, 9.5010, -4.4020}, % O2P
% {4.1590, 7.6040, -3.0340}, % O5'
% {4.1214, 6.7116, -1.9049}, % C5'
% {3.3465, 5.9610, -2.0607}, % H5'
% {4.0789, 7.2928, -0.9837}, % H5''
% {5.4170, 5.9293, -1.8186}, % C4'
% {5.4506, 5.3400, -0.9023}, % H4'
% {5.5067, 5.0417, -2.9703}, % O4'
% {6.8650, 4.9152, -3.3612}, % C1'
% {7.1090, 3.8577, -3.2603}, % H1'
% {7.7152, 5.7282, -2.3894}, % C2'
% {8.5029, 6.2356, -2.9463}, % H2''
% {8.1036, 4.8568, -1.3419}, % O2'
% {8.3270, 3.9651, -1.6184}, % H2'
% {6.7003, 6.7565, -1.8911}, % C3'
% {6.5898, 7.5329, -2.6482}, % H3'
% {7.0505, 7.2878, -0.6105}, % O3'
% {9.6740, 4.7656, -7.6614}, % N1
% {9.0739, 4.3013, -5.3941}, % N3
% {9.8416, 4.2192, -6.4581}, % C2
% {7.9885, 5.0632, -5.6446}, % C4
% {7.6822, 5.6856, -6.8194}, % C5
% {8.5831, 5.5215, -7.8840}, % C6
% g, {
% {10.9733, 3.5117, -6.4286}, % N2
% {6.4857, 6.3816, -6.7035}, % N7
% {6.9740, 5.3703, -4.7760}, % N9
% {6.1133, 6.1613, -5.4808}, % C8
% {8.4084, 6.0747, -9.0933}, % O6
% {10.3759, 4.5855, -8.3504}, % H1
% {11.6254, 3.3761, -7.1879}, % H21
% {11.1917, 3.0460, -5.5593}, % H22
% {5.1705, 6.6830, -5.3167}} % H8
% }.
% rG04() ->
% {
% {-0.5426, -0.8175, 0.1929, % dgf_base_tfo
% 0.8304, -0.5567, -0.0237,
% 0.1267, 0.1473, 0.9809,
% -0.5075, 8.3929, 0.2229},
% {-0.8143, -0.5091, -0.2788, % p_o3'_275_tfo
% -0.0433, -0.4257, 0.9038,
% -0.5788, 0.7480, 0.3246,
% 1.5227, 6.9114, -7.0765},
% {0.3822, -0.7477, 0.5430, % p_o3'_180_tfo
% 0.4552, 0.6637, 0.5935,
% -0.8042, 0.0203, 0.5941,
% -6.9472, -4.1186, -5.9108},
% {0.5640, 0.8007, -0.2022, % p_o3'_60_tfo
% -0.8247, 0.5587, -0.0878,
% 0.0426, 0.2162, 0.9754,
% 6.2694, -7.0540, 3.3316},
% {2.8930, 8.5380, -3.3280}, % P
% {1.6980, 7.6960, -3.5570}, % O1P
% {3.2260, 9.5010, -4.4020}, % O2P
% {4.1590, 7.6040, -3.0340}, % O5'
% {5.4352, 8.2183, -2.7757}, % C5'
% {5.3830, 8.7883, -1.8481}, % H5'
% {5.7729, 8.7436, -3.6691}, % H5''
% {6.4830, 7.1518, -2.5252}, % C4'
% {7.4749, 7.5972, -2.4482}, % H4'
% {6.1626, 6.4620, -1.2827}, % O4'
% {6.5431, 5.0992, -1.3905}, % C1'
% {7.2871, 4.9328, -0.6114}, % H1'
% {7.1852, 4.8935, -2.7592}, % C2'
% {6.8573, 3.9363, -3.1645}, % H2''
% {8.5780, 5.1025, -2.6046}, % O2'
% {8.9516, 4.7577, -1.7902}, % H2'
% {6.5522, 6.0300, -3.5612}, % C3'
% {5.5420, 5.7356, -3.8459}, % H3'
% {7.3487, 6.4089, -4.6867}, % O3'
% {3.6343, 2.6680, 2.0783}, % N1
% {5.4505, 3.9805, 1.2446}, % N3
% {4.7540, 3.3816, 2.1851}, % C2
% {4.8805, 3.7951, 0.0354}, % C4
% {3.7416, 3.0925, -0.2305}, % C5
% {3.0873, 2.4980, 0.8606}, % C6
% g, {
% {5.1433, 3.4373, 3.4609}, % N2
% {3.4605, 3.1184, -1.5906}, % N7
% {5.3247, 4.2695, -1.1710}, % N9
% {4.4244, 3.8244, -2.0953}, % C8
% {1.9600, 1.7805, 0.7462}, % O6
% {3.2489, 2.2879, 2.9191}, % H1
% {4.6785, 3.0243, 4.2568}, % H21
% {5.9823, 3.9654, 3.6539}, % H22
% {4.2675, 3.8876, -3.1721}} % H8
% }.
% rG05() ->
% {
% {-0.5891, 0.0449, 0.8068, % dgf_base_tfo
% 0.5375, 0.7673, 0.3498,
% -0.6034, 0.6397, -0.4762,
% -0.3019, -3.7679, -9.5913},
% {-0.8143, -0.5091, -0.2788, % p_o3'_275_tfo
% -0.0433, -0.4257, 0.9038,
% -0.5788, 0.7480, 0.3246,
% 1.5227, 6.9114, -7.0765},
% {0.3822, -0.7477, 0.5430, % p_o3'_180_tfo
% 0.4552, 0.6637, 0.5935,
% -0.8042, 0.0203, 0.5941,
% -6.9472, -4.1186, -5.9108},
% {0.5640, 0.8007, -0.2022, % p_o3'_60_tfo
% -0.8247, 0.5587, -0.0878,
% 0.0426, 0.2162, 0.9754,
% 6.2694, -7.0540, 3.3316},
% {2.8930, 8.5380, -3.3280}, % P
% {1.6980, 7.6960, -3.5570}, % O1P
% {3.2260, 9.5010, -4.4020}, % O2P
% {4.1590, 7.6040, -3.0340}, % O5'
% {4.5778, 6.6594, -4.0364}, % C5'
% {4.9220, 7.1963, -4.9204}, % H5'
% {3.7996, 5.9091, -4.1764}, % H5''
% {5.7873, 5.8869, -3.5482}, % C4'
% {6.0405, 5.0875, -4.2446}, % H4'
% {6.9135, 6.8036, -3.4310}, % O4'
% {7.7293, 6.4084, -2.3392}, % C1'
% {8.7078, 6.1815, -2.7624}, % H1'
% {7.1305, 5.1418, -1.7347}, % C2'
% {7.2040, 5.1982, -0.6486}, % H2''
% {7.7417, 4.0392, -2.3813}, % O2'
% {8.6785, 4.1443, -2.5630}, % H2'
% {5.6666, 5.2728, -2.1536}, % C3'
% {5.1747, 5.9805, -1.4863}, % H3'
% {4.9997, 4.0086, -2.1973}, % O3'
% {10.2594, 10.6774, -1.0056}, % N1
% {9.7528, 8.7080, -2.2631}, % N3
% {10.4471, 9.7876, -1.9791}, % C2
% {8.7271, 8.5575, -1.3991}, % C4
% {8.4100, 9.3803, -0.3580}, % C5
% {9.2294, 10.5030, -0.1574}, % C6
% g, {
% {11.5110, 10.1256, -2.7114}, % N2
% {7.2891, 8.9068, 0.3121}, % N7
% {7.7962, 7.5519, -1.3859}, % N9
% {6.9702, 7.8292, -0.3353}, % C8
% {9.0349, 11.3951, 0.8250}, % O6
% {10.9013, 11.4422, -0.9512}, % H1
% {12.1031, 10.9341, -2.5861}, % H21
% {11.7369, 9.5180, -3.4859}, % H22
% {6.0888, 7.3990, 0.1403}} % H8
% }.
% rG06() ->
% {
% {-0.9815, 0.0731, -0.1772, % dgf_base_tfo
% 0.1912, 0.3054, -0.9328,
% -0.0141, -0.9494, -0.3137,
% 5.7506, -5.1944, 4.7470},
% {-0.8143, -0.5091, -0.2788, % p_o3'_275_tfo
% -0.0433, -0.4257, 0.9038,
% -0.5788, 0.7480, 0.3246,
% 1.5227, 6.9114, -7.0765},
% {0.3822, -0.7477, 0.5430, % p_o3'_180_tfo
% 0.4552, 0.6637, 0.5935,
% -0.8042, 0.0203, 0.5941,
% -6.9472, -4.1186, -5.9108},
% {0.5640, 0.8007, -0.2022, % p_o3'_60_tfo
% -0.8247, 0.5587, -0.0878,
% 0.0426, 0.2162, 0.9754,
% 6.2694, -7.0540, 3.3316},
% {2.8930, 8.5380, -3.3280}, % P
% {1.6980, 7.6960, -3.5570}, % O1P
% {3.2260, 9.5010, -4.4020}, % O2P
% {4.1590, 7.6040, -3.0340}, % O5'
% {4.1214, 6.7116, -1.9049}, % C5'
% {3.3465, 5.9610, -2.0607}, % H5'
% {4.0789, 7.2928, -0.9837}, % H5''
% {5.4170, 5.9293, -1.8186}, % C4'
% {5.4506, 5.3400, -0.9023}, % H4'
% {5.5067, 5.0417, -2.9703}, % O4'
% {6.8650, 4.9152, -3.3612}, % C1'
% {7.1090, 3.8577, -3.2603}, % H1'
% {7.7152, 5.7282, -2.3894}, % C2'
% {8.5029, 6.2356, -2.9463}, % H2''
% {8.1036, 4.8568, -1.3419}, % O2'
% {8.3270, 3.9651, -1.6184}, % H2'
% {6.7003, 6.7565, -1.8911}, % C3'
% {6.5898, 7.5329, -2.6482}, % H3'
% {7.0505, 7.2878, -0.6105}, % O3'
% {6.6624, 3.5061, -8.2986}, % N1
% {6.5810, 3.2570, -5.9221}, % N3
% {6.5151, 2.8263, -7.1625}, % C2
% {6.8364, 4.5817, -5.8882}, % C4
% {7.0116, 5.4064, -6.9609}, % C5
% {6.9173, 4.8260, -8.2361}, % C6
% g, {
% {6.2717, 1.5402, -7.4250}, % N2
% {7.2573, 6.7070, -6.5394}, % N7
% {6.9740, 5.3703, -4.7760}, % N9
% {7.2238, 6.6275, -5.2453}, % C8
% {7.0668, 5.5163, -9.3763}, % O6
% {6.5754, 2.9964, -9.1545}, % H1
% {6.1908, 1.1105, -8.3354}, % H21
% {6.1346, 0.9352, -6.6280}, % H22
% {7.4108, 7.6227, -4.8418}} % H8
% }.
% rG07() ->
% {
% {0.0894, -0.6059, 0.7905, % dgf_base_tfo
% -0.6810, 0.5420, 0.4924,
% -0.7268, -0.5824, -0.3642,
% 34.1424, 45.9610, -11.8600},
% {-0.8644, -0.4956, -0.0851, % p_o3'_275_tfo
% -0.0427, 0.2409, -0.9696,
% 0.5010, -0.8345, -0.2294,
% 4.0167, 54.5377, 12.4779},
% {0.3706, -0.6167, 0.6945, % p_o3'_180_tfo
% -0.2867, -0.7872, -0.5460,
% 0.8834, 0.0032, -0.4686,
% -52.9020, 18.6313, -0.6709},
% {0.4155, 0.9025, -0.1137, % p_o3'_60_tfo
% 0.9040, -0.4236, -0.0582,
% -0.1007, -0.0786, -0.9918,
% -7.6624, -25.2080, 49.5181},
% {31.3810, 0.1400, 47.5810}, % P
% {29.9860, 0.6630, 47.6290}, % O1P
% {31.7210, -0.6460, 48.8090}, % O2P
% {32.4940, 1.2540, 47.2740}, % O5'
% {33.8709, 0.7918, 47.2113}, % C5'
% {34.1386, 0.5870, 46.1747}, % H5'
% {34.0186, -0.0095, 47.9353}, % H5''
% {34.7297, 1.9687, 47.6685}, % C4'
% {35.7723, 1.6845, 47.8113}, % H4'
% {34.6455, 2.9768, 46.6660}, % O4'
% {34.1690, 4.1829, 47.2627}, % C1'
% {35.0437, 4.7633, 47.5560}, % H1'
% {33.4145, 3.7532, 48.4954}, % C2'
% {32.4340, 3.3797, 48.2001}, % H2''
% {33.3209, 4.6953, 49.5217}, % O2'
% {33.2374, 5.6059, 49.2295}, % H2'
% {34.2724, 2.5970, 48.9773}, % C3'
% {33.6373, 1.8935, 49.5157}, % H3'
% {35.3453, 3.1884, 49.7285}, % O3'
% {34.0511, 7.8930, 43.7791}, % N1
% {34.9937, 6.3369, 45.3199}, % N3
% {35.0882, 7.3126, 44.4200}, % C2
% {33.7190, 5.9650, 45.5374}, % C4
% {32.5845, 6.4770, 44.9458}, % C5
% {32.7430, 7.5179, 43.9914}, % C6
% g, {
% {36.3030, 7.7827, 44.1036}, % N2
% {31.4499, 5.8335, 45.4368}, % N7
% {33.2760, 4.9817, 46.4043}, % N9
% {31.9235, 4.9639, 46.2934}, % C8
% {31.8602, 8.1000, 43.3695}, % O6
% {34.2623, 8.6223, 43.1283}, % H1
% {36.5188, 8.5081, 43.4347}, % H21
% {37.0888, 7.3524, 44.5699}, % H22
% {31.0815, 4.4201, 46.7218}} % H8
% }.
% rG08() ->
% {
% {0.2224, 0.6335, 0.7411, % dgf_base_tfo
% -0.3644, -0.6510, 0.6659,
% 0.9043, -0.4181, 0.0861,
% -47.6824, -0.5823, -31.7554},
% {-0.8644, -0.4956, -0.0851, % p_o3'_275_tfo
% -0.0427, 0.2409, -0.9696,
% 0.5010, -0.8345, -0.2294,
% 4.0167, 54.5377, 12.4779},
% {0.3706, -0.6167, 0.6945, % p_o3'_180_tfo
% -0.2867, -0.7872, -0.5460,
% 0.8834, 0.0032, -0.4686,
% -52.9020, 18.6313, -0.6709},
% {0.4155, 0.9025, -0.1137, % p_o3'_60_tfo
% 0.9040, -0.4236, -0.0582,
% -0.1007, -0.0786, -0.9918,
% -7.6624, -25.2080, 49.5181},
% {31.3810, 0.1400, 47.5810}, % P
% {29.9860, 0.6630, 47.6290}, % O1P
% {31.7210, -0.6460, 48.8090}, % O2P
% {32.4940, 1.2540, 47.2740}, % O5'
% {32.5924, 2.3488, 48.2255}, % C5'
% {33.3674, 2.1246, 48.9584}, % H5'
% {31.5994, 2.5917, 48.6037}, % H5''
% {33.0722, 3.5577, 47.4258}, % C4'
% {33.0310, 4.4778, 48.0089}, % H4'
% {34.4173, 3.3055, 47.0316}, % O4'
% {34.5056, 3.3910, 45.6094}, % C1'
% {34.7881, 4.4152, 45.3663}, % H1'
% {33.1122, 3.1198, 45.1010}, % C2'
% {32.9230, 2.0469, 45.1369}, % H2''
% {32.7946, 3.6590, 43.8529}, % O2'
% {33.5170, 3.6707, 43.2207}, % H2'
% {32.2730, 3.8173, 46.1566}, % C3'
% {31.3094, 3.3123, 46.2244}, % H3'
% {32.2391, 5.2039, 45.7807}, % O3'
% {39.3337, 2.7157, 44.1441}, % N1
% {37.4430, 3.8242, 45.0824}, % N3
% {38.7276, 3.7646, 44.7403}, % C2
% {36.7791, 2.6963, 44.7704}, % C4
% {37.2860, 1.5653, 44.1678}, % C5
% {38.6647, 1.5552, 43.8235}, % C6
% g, {
% {39.5123, 4.8216, 44.9936}, % N2
% {36.2829, 0.6110, 44.0078}, % N7
% {35.4394, 2.4314, 44.9931}, % N9
% {35.2180, 1.1815, 44.5128}, % C8
% {39.2907, 0.6514, 43.2796}, % O6
% {40.3076, 2.8048, 43.9352}, % H1
% {40.4994, 4.9066, 44.7977}, % H21
% {39.0738, 5.6108, 45.4464}, % H22
% {34.3856, 0.4842, 44.4185}} % H8
% }.
% rG09() ->
% {
% {-0.9699, -0.1688, -0.1753, % dgf_base_tfo
% -0.1050, -0.3598, 0.9271,
% -0.2196, 0.9176, 0.3312,
% 45.6217, -38.9484, -12.3208},
% {-0.8644, -0.4956, -0.0851, % p_o3'_275_tfo
% -0.0427, 0.2409, -0.9696,
% 0.5010, -0.8345, -0.2294,
% 4.0167, 54.5377, 12.4779},
% {0.3706, -0.6167, 0.6945, % p_o3'_180_tfo
% -0.2867, -0.7872, -0.5460,
% 0.8834, 0.0032, -0.4686,
% -52.9020, 18.6313, -0.6709},
% {0.4155, 0.9025, -0.1137, % p_o3'_60_tfo
% 0.9040, -0.4236, -0.0582,
% -0.1007, -0.0786, -0.9918,
% -7.6624, -25.2080, 49.5181},
% {31.3810, 0.1400, 47.5810}, % P
% {29.9860, 0.6630, 47.6290}, % O1P
% {31.7210, -0.6460, 48.8090}, % O2P
% {32.4940, 1.2540, 47.2740}, % O5'
% {33.8709, 0.7918, 47.2113}, % C5'
% {34.1386, 0.5870, 46.1747}, % H5'
% {34.0186, -0.0095, 47.9353}, % H5''
% {34.7297, 1.9687, 47.6685}, % C4'
% {34.5880, 2.8482, 47.0404}, % H4'
% {34.3575, 2.2770, 49.0081}, % O4'
% {35.5157, 2.1993, 49.8389}, % C1'
% {35.9424, 3.2010, 49.8893}, % H1'
% {36.4701, 1.2820, 49.1169}, % C2'
% {36.1545, 0.2498, 49.2683}, % H2''
% {37.8262, 1.4547, 49.4008}, % O2'
% {38.0227, 1.6945, 50.3094}, % H2'
% {36.2242, 1.6797, 47.6725}, % C3'
% {36.4297, 0.8197, 47.0351}, % H3'
% {37.0289, 2.8480, 47.4426}, % O3'
% {34.3005, 3.5042, 54.6070}, % N1
% {34.7693, 3.7936, 52.2874}, % N3
% {34.4484, 4.2541, 53.4939}, % C2
% {34.9354, 2.4584, 52.2785}, % C4
% {34.8092, 1.5915, 53.3422}, % C5
% {34.4646, 2.1367, 54.6085}, % C6
% g, {
% {34.2514, 5.5708, 53.6503}, % N2
% {35.0641, 0.2835, 52.9337}, % N7
% {35.2669, 1.6690, 51.1915}, % N9
% {35.3288, 0.3954, 51.6563}, % C8
% {34.3151, 1.5317, 55.6650}, % O6
% {34.0623, 3.9797, 55.4539}, % H1
% {33.9950, 6.0502, 54.5016}, % H21
% {34.3512, 6.1432, 52.8242}, % H22
% {35.5414, -0.6006, 51.2679}} % H8
% }.
% rG10() ->
% {
% {-0.0980, -0.9723, 0.2122, % dgf_base_tfo
% -0.9731, 0.1383, 0.1841,
% -0.2083, -0.1885, -0.9597,
% 17.8469, 38.8265, 37.0475},
% {-0.8644, -0.4956, -0.0851, % p_o3'_275_tfo
% -0.0427, 0.2409, -0.9696,
% 0.5010, -0.8345, -0.2294,
% 4.0167, 54.5377, 12.4779},
% {0.3706, -0.6167, 0.6945, % p_o3'_180_tfo
% -0.2867, -0.7872, -0.5460,
% 0.8834, 0.0032, -0.4686,
% -52.9020, 18.6313, -0.6709},
% {0.4155, 0.9025, -0.1137, % p_o3'_60_tfo
% 0.9040, -0.4236, -0.0582,
% -0.1007, -0.0786, -0.9918,
% -7.6624, -25.2080, 49.5181},
% {31.3810, 0.1400, 47.5810}, % P
% {29.9860, 0.6630, 47.6290}, % O1P
% {31.7210, -0.6460, 48.8090}, % O2P
% {32.4940, 1.2540, 47.2740}, % O5'
% {32.5924, 2.3488, 48.2255}, % C5'
% {33.3674, 2.1246, 48.9584}, % H5'
% {31.5994, 2.5917, 48.6037}, % H5''
% {33.0722, 3.5577, 47.4258}, % C4'
% {34.0333, 3.3761, 46.9447}, % H4'
% {32.0890, 3.8338, 46.4332}, % O4'
% {31.6377, 5.1787, 46.5914}, % C1'
% {32.2499, 5.8016, 45.9392}, % H1'
% {31.9167, 5.5319, 48.0305}, % C2'
% {31.1507, 5.0820, 48.6621}, % H2''
% {32.0865, 6.8890, 48.3114}, % O2'
% {31.5363, 7.4819, 47.7942}, % H2'
% {33.2398, 4.8224, 48.2563}, % C3'
% {33.3166, 4.5570, 49.3108}, % H3'
% {34.2528, 5.7056, 47.7476}, % O3'
% {28.2782, 6.3049, 42.9364}, % N1
% {30.4001, 5.8547, 43.9258}, % N3
% {29.6195, 6.1568, 42.8913}, % C2
% {29.7005, 5.7006, 45.0649}, % C4
% {28.3383, 5.8221, 45.2343}, % C5
% {27.5519, 6.1461, 44.0958}, % C6
% g, {
% {30.1838, 6.3385, 41.6890}, % N2
% {27.9936, 5.5926, 46.5651}, % N7
% {30.2046, 5.3825, 46.3136}, % N9
% {29.1371, 5.3398, 47.1506}, % C8
% {26.3361, 6.3024, 44.0495}, % O6
% {27.8122, 6.5394, 42.0833}, % H1
% {29.7125, 6.5595, 40.8235}, % H21
% {31.1859, 6.2231, 41.6389}, % H22
% {28.9406, 5.1504, 48.2059}} % H8
% }.
% rGs() -> [rG01(),rG02(),rG03(),rG04(),rG05(),rG06(),rG07(),
% rG08(),rG09(),rG10()].
rU() ->
{
{-0.0359, -0.8071, 0.5894, % dgf_base_tfo
-0.2669, 0.5761, 0.7726,
-0.9631, -0.1296, -0.2361,
0.1584, 8.3434, 0.5434},
{-0.8313, -0.4738, -0.2906, % p_o3'_275_tfo
0.0649, 0.4366, -0.8973,
0.5521, -0.7648, -0.3322,
1.6833, 6.8060, -7.0011},
{0.3445, -0.7630, 0.5470, % p_o3'_180_tfo
-0.4628, -0.6450, -0.6082,
0.8168, -0.0436, -0.5753,
-6.8179, -3.9778, -5.9887},
{0.5855, 0.7931, -0.1682, % p_o3'_60_tfo
0.8103, -0.5790, 0.0906,
-0.0255, -0.1894, -0.9816,
6.1203, -7.1051, 3.1984},
{2.6760, -8.4960, 3.2880}, % P
{1.4950, -7.6230, 3.4770}, % O1P
{2.9490, -9.4640, 4.3740}, % O2P
{3.9730, -7.5950, 3.0340}, % O5'
{5.2430, -8.2420, 2.8260}, % C5'
{5.1974, -8.8497, 1.9223}, % H5'
{5.5548, -8.7348, 3.7469}, % H5''
{6.3140, -7.2060, 2.5510}, % C4'
{7.2954, -7.6762, 2.4898}, % H4'
{6.0140, -6.5420, 1.2890}, % O4'
{6.4190, -5.1840, 1.3620}, % C1'
{7.1608, -5.0495, 0.5747}, % H1'
{7.0760, -4.9560, 2.7270}, % C2'
{6.7770, -3.9803, 3.1099}, % H2''
{8.4500, -5.1930, 2.5810}, % O2'
{8.8309, -4.8755, 1.7590}, % H2'
{6.4060, -6.0590, 3.5580}, % C3'
{5.4021, -5.7313, 3.8281}, % H3'
{7.1570, -6.4240, 4.7070}, % O3'
{5.2170, -4.3260, 1.1690}, % N1
{4.2960, -2.2560, 0.6290}, % N3
{5.4330, -3.0200, 0.7990}, % C2
{2.9930, -2.6780, 0.7940}, % C4
{2.8670, -4.0630, 1.1830}, % C5
{3.9570, -4.8300, 1.3550}, % C6
u, {
{6.5470, -2.5560, 0.6290}, % O2
{2.0540, -1.9000, 0.6130}, % O4
{4.4300, -1.3020, 0.3600}, % H3
{1.9590, -4.4570, 1.3250}, % H5
{3.8460, -5.7860, 1.6240}} % H6
}.
rU01() ->
{
{-0.0137, -0.8012, 0.5983, % dgf_base_tfo
-0.2523, 0.5817, 0.7733,
-0.9675, -0.1404, -0.2101,
0.2031, 8.3874, 0.4228},
{-0.8313, -0.4738, -0.2906, % p_o3'_275_tfo
0.0649, 0.4366, -0.8973,
0.5521, -0.7648, -0.3322,
1.6833, 6.8060, -7.0011},
{0.3445, -0.7630, 0.5470, % p_o3'_180_tfo
-0.4628, -0.6450, -0.6082,
0.8168, -0.0436, -0.5753,
-6.8179, -3.9778, -5.9887},
{0.5855, 0.7931, -0.1682, % p_o3'_60_tfo
0.8103, -0.5790, 0.0906,
-0.0255, -0.1894, -0.9816,
6.1203, -7.1051, 3.1984},
{2.6760, -8.4960, 3.2880}, % P
{1.4950, -7.6230, 3.4770}, % O1P
{2.9490, -9.4640, 4.3740}, % O2P
{3.9730, -7.5950, 3.0340}, % O5'
{5.2416, -8.2422, 2.8181}, % C5'
{5.2050, -8.8128, 1.8901}, % H5'
{5.5368, -8.7738, 3.7227}, % H5''
{6.3232, -7.2037, 2.6002}, % C4'
{7.3048, -7.6757, 2.5577}, % H4'
{6.0635, -6.5092, 1.3456}, % O4'
{6.4697, -5.1547, 1.4629}, % C1'
{7.2354, -5.0043, 0.7018}, % H1'
{7.0856, -4.9610, 2.8521}, % C2'
{6.7777, -3.9935, 3.2487}, % H2''
{8.4627, -5.1992, 2.7423}, % O2'
{8.8693, -4.8638, 1.9399}, % H2'
{6.3877, -6.0809, 3.6362}, % C3'
{5.3770, -5.7562, 3.8834}, % H3'
{7.1024, -6.4754, 4.7985}, % O3'
{5.2764, -4.2883, 1.2538}, % N1
{4.3777, -2.2062, 0.7229}, % N3
{5.5069, -2.9779, 0.9088}, % C2
{3.0693, -2.6246, 0.8500}, % C4
{2.9279, -4.0146, 1.2149}, % C5
{4.0101, -4.7892, 1.4017}, % C6
u, {
{6.6267, -2.5166, 0.7728}, % O2
{2.1383, -1.8396, 0.6581}, % O4
{4.5223, -1.2489, 0.4716}, % H3
{2.0151, -4.4065, 1.3290}, % H5
{3.8886, -5.7486, 1.6535}} % H6
}.
rU02() ->
{
{0.5141, 0.0246, 0.8574, % dgf_base_tfo
-0.5547, -0.7529, 0.3542,
0.6542, -0.6577, -0.3734,
-9.1111, -3.4598, -3.2939},
{-0.8313, -0.4738, -0.2906, % p_o3'_275_tfo
0.0649, 0.4366, -0.8973,
0.5521, -0.7648, -0.3322,
1.6833, 6.8060, -7.0011},
{0.3445, -0.7630, 0.5470, % p_o3'_180_tfo
-0.4628, -0.6450, -0.6082,
0.8168, -0.0436, -0.5753,
-6.8179, -3.9778, -5.9887},
{0.5855, 0.7931, -0.1682, % p_o3'_60_tfo
0.8103, -0.5790, 0.0906,
-0.0255, -0.1894, -0.9816,
6.1203, -7.1051, 3.1984},
{2.6760, -8.4960, 3.2880}, % P
{1.4950, -7.6230, 3.4770}, % O1P
{2.9490, -9.4640, 4.3740}, % O2P
{3.9730, -7.5950, 3.0340}, % O5'
{4.3825, -6.6585, 4.0489}, % C5'
{4.6841, -7.2019, 4.9443}, % H5'
{3.6189, -5.8889, 4.1625}, % H5''
{5.6255, -5.9175, 3.5998}, % C4'
{5.8732, -5.1228, 4.3034}, % H4'
{6.7337, -6.8605, 3.5222}, % O4'
{7.5932, -6.4923, 2.4548}, % C1'
{8.5661, -6.2983, 2.9064}, % H1'
{7.0527, -5.2012, 1.8322}, % C2'
{7.1627, -5.2525, 0.7490}, % H2''
{7.6666, -4.1249, 2.4880}, % O2'
{8.5944, -4.2543, 2.6981}, % H2'
{5.5661, -5.3029, 2.2009}, % C3'
{5.0841, -6.0018, 1.5172}, % H3'
{4.9062, -4.0452, 2.2042}, % O3'
{7.6298, -7.6136, 1.4752}, % N1
{8.6945, -8.7046, -0.2857}, % N3
{8.6943, -7.6514, 0.6066}, % C2
{7.7426, -9.6987, -0.3801}, % C4
{6.6642, -9.5742, 0.5722}, % C5
{6.6391, -8.5592, 1.4526}, % C6
u, {
{9.5840, -6.8186, 0.6136}, % O2
{7.8505, -10.5925, -1.2223}, % O4
{9.4601, -8.7514, -0.9277}, % H3
{5.9281, -10.2509, 0.5782}, % H5
{5.8831, -8.4931, 2.1028}} % H6
}.
rU03() ->
{
{-0.4993, 0.0476, 0.8651, % dgf_base_tfo
0.8078, -0.3353, 0.4847,
0.3132, 0.9409, 0.1290,
6.2989, -5.2303, -3.8577},
{-0.8313, -0.4738, -0.2906, % p_o3'_275_tfo
0.0649, 0.4366, -0.8973,
0.5521, -0.7648, -0.3322,
1.6833, 6.8060, -7.0011},
{0.3445, -0.7630, 0.5470, % p_o3'_180_tfo
-0.4628, -0.6450, -0.6082,
0.8168, -0.0436, -0.5753,
-6.8179, -3.9778, -5.9887},
{0.5855, 0.7931, -0.1682, % p_o3'_60_tfo
0.8103, -0.5790, 0.0906,
-0.0255, -0.1894, -0.9816,
6.1203, -7.1051, 3.1984},
{2.6760, -8.4960, 3.2880}, % P
{1.4950, -7.6230, 3.4770}, % O1P
{2.9490, -9.4640, 4.3740}, % O2P
{3.9730, -7.5950, 3.0340}, % O5'
{3.9938, -6.7042, 1.9023}, % C5'
{3.2332, -5.9343, 2.0319}, % H5'
{3.9666, -7.2863, 0.9812}, % H5''
{5.3098, -5.9546, 1.8564}, % C4'
{5.3863, -5.3702, 0.9395}, % H4'
{5.3851, -5.0642, 3.0076}, % O4'
{6.7315, -4.9724, 3.4462}, % C1'
{7.0033, -3.9202, 3.3619}, % H1'
{7.5997, -5.8018, 2.4948}, % C2'
{8.3627, -6.3254, 3.0707}, % H2''
{8.0410, -4.9501, 1.4724}, % O2'
{8.2781, -4.0644, 1.7570}, % H2'
{6.5701, -6.8129, 1.9714}, % C3'
{6.4186, -7.5809, 2.7299}, % H3'
{6.9357, -7.3841, 0.7235}, % O3'
{6.8024, -5.4718, 4.8475}, % N1
{7.9218, -5.5700, 6.8877}, % N3
{7.8908, -5.0886, 5.5944}, % C2
{6.9789, -6.3827, 7.4823}, % C4
{5.8742, -6.7319, 6.6202}, % C5
{5.8182, -6.2769, 5.3570}, % C6
u, {
{8.7747, -4.3728, 5.1568}, % O2
{7.1154, -6.7509, 8.6509}, % O4
{8.7055, -5.3037, 7.4491}, % H3
{5.1416, -7.3178, 6.9665}, % H5
{5.0441, -6.5310, 4.7784}} % H6
}.
rU04() ->
{
{-0.5669, -0.8012, 0.1918, % dgf_base_tfo
-0.8129, 0.5817, 0.0273,
-0.1334, -0.1404, -0.9811,
-0.3279, 8.3874, 0.3355},
{-0.8313, -0.4738, -0.2906, % p_o3'_275_tfo
0.0649, 0.4366, -0.8973,
0.5521, -0.7648, -0.3322,
1.6833, 6.8060, -7.0011},
{0.3445, -0.7630, 0.5470, % p_o3'_180_tfo
-0.4628, -0.6450, -0.6082,
0.8168, -0.0436, -0.5753,
-6.8179, -3.9778, -5.9887},
{0.5855, 0.7931, -0.1682, % p_o3'_60_tfo
0.8103, -0.5790, 0.0906,
-0.0255, -0.1894, -0.9816,
6.1203, -7.1051, 3.1984},
{2.6760, -8.4960, 3.2880}, % P
{1.4950, -7.6230, 3.4770}, % O1P
{2.9490, -9.4640, 4.3740}, % O2P
{3.9730, -7.5950, 3.0340}, % O5'
{5.2416, -8.2422, 2.8181}, % C5'
{5.2050, -8.8128, 1.8901}, % H5'
{5.5368, -8.7738, 3.7227}, % H5''
{6.3232, -7.2037, 2.6002}, % C4'
{7.3048, -7.6757, 2.5577}, % H4'
{6.0635, -6.5092, 1.3456}, % O4'
{6.4697, -5.1547, 1.4629}, % C1'
{7.2354, -5.0043, 0.7018}, % H1'
{7.0856, -4.9610, 2.8521}, % C2'
{6.7777, -3.9935, 3.2487}, % H2''
{8.4627, -5.1992, 2.7423}, % O2'
{8.8693, -4.8638, 1.9399}, % H2'
{6.3877, -6.0809, 3.6362}, % C3'
{5.3770, -5.7562, 3.8834}, % H3'
{7.1024, -6.4754, 4.7985}, % O3'
{5.2764, -4.2883, 1.2538}, % N1
{3.8961, -3.0896, -0.1893}, % N3
{5.0095, -3.8907, -0.0346}, % C2
{3.0480, -2.6632, 0.8116}, % C4
{3.4093, -3.1310, 2.1292}, % C5
{4.4878, -3.9124, 2.3088}, % C6
u, {
{5.7005, -4.2164, -0.9842}, % O2
{2.0800, -1.9458, 0.5503}, % O4
{3.6834, -2.7882, -1.1190}, % H3
{2.8508, -2.8721, 2.9172}, % H5
{4.7188, -4.2247, 3.2295}} % H6
}.
rU05() ->
{
{-0.6298, 0.0246, 0.7763, % dgf_base_tfo
-0.5226, -0.7529, -0.4001,
0.5746, -0.6577, 0.4870,
-0.0208, -3.4598, -9.6882},
{-0.8313, -0.4738, -0.2906, % p_o3'_275_tfo
0.0649, 0.4366, -0.8973,
0.5521, -0.7648, -0.3322,
1.6833, 6.8060, -7.0011},
{0.3445, -0.7630, 0.5470, % p_o3'_180_tfo
-0.4628, -0.6450, -0.6082,
0.8168, -0.0436, -0.5753,
-6.8179, -3.9778, -5.9887},
{0.5855, 0.7931, -0.1682, % p_o3'_60_tfo
0.8103, -0.5790, 0.0906,
-0.0255, -0.1894, -0.9816,
6.1203, -7.1051, 3.1984},
{2.6760, -8.4960, 3.2880}, % P
{1.4950, -7.6230, 3.4770}, % O1P
{2.9490, -9.4640, 4.3740}, % O2P
{3.9730, -7.5950, 3.0340}, % O5'
{4.3825, -6.6585, 4.0489}, % C5'
{4.6841, -7.2019, 4.9443}, % H5'
{3.6189, -5.8889, 4.1625}, % H5''
{5.6255, -5.9175, 3.5998}, % C4'
{5.8732, -5.1228, 4.3034}, % H4'
{6.7337, -6.8605, 3.5222}, % O4'
{7.5932, -6.4923, 2.4548}, % C1'
{8.5661, -6.2983, 2.9064}, % H1'
{7.0527, -5.2012, 1.8322}, % C2'
{7.1627, -5.2525, 0.7490}, % H2''
{7.6666, -4.1249, 2.4880}, % O2'
{8.5944, -4.2543, 2.6981}, % H2'
{5.5661, -5.3029, 2.2009}, % C3'
{5.0841, -6.0018, 1.5172}, % H3'
{4.9062, -4.0452, 2.2042}, % O3'
{7.6298, -7.6136, 1.4752}, % N1
{8.5977, -9.5977, 0.7329}, % N3
{8.5951, -8.5745, 1.6594}, % C2
{7.7372, -9.7371, -0.3364}, % C4
{6.7596, -8.6801, -0.4476}, % C5
{6.7338, -7.6721, 0.4408}, % C6
u, {
{9.3993, -8.5377, 2.5743}, % O2
{7.8374, -10.6990, -1.1008}, % O4
{9.2924, -10.3081, 0.8477}, % H3
{6.0932, -8.6982, -1.1929}, % H5
{6.0481, -6.9515, 0.3446}} % H6
}.
rU06() ->
{
{-0.9837, 0.0476, -0.1733, % dgf_base_tfo
-0.1792, -0.3353, 0.9249,
-0.0141, 0.9409, 0.3384,
5.7793, -5.2303, 4.5997},
{-0.8313, -0.4738, -0.2906, % p_o3'_275_tfo
0.0649, 0.4366, -0.8973,
0.5521, -0.7648, -0.3322,
1.6833, 6.8060, -7.0011},
{0.3445, -0.7630, 0.5470, % p_o3'_180_tfo
-0.4628, -0.6450, -0.6082,
0.8168, -0.0436, -0.5753,
-6.8179, -3.9778, -5.9887},
{0.5855, 0.7931, -0.1682, % p_o3'_60_tfo
0.8103, -0.5790, 0.0906,
-0.0255, -0.1894, -0.9816,
6.1203, -7.1051, 3.1984},
{2.6760, -8.4960, 3.2880}, % P
{1.4950, -7.6230, 3.4770}, % O1P
{2.9490, -9.4640, 4.3740}, % O2P
{3.9730, -7.5950, 3.0340}, % O5'
{3.9938, -6.7042, 1.9023}, % C5'
{3.2332, -5.9343, 2.0319}, % H5'
{3.9666, -7.2863, 0.9812}, % H5''
{5.3098, -5.9546, 1.8564}, % C4'
{5.3863, -5.3702, 0.9395}, % H4'
{5.3851, -5.0642, 3.0076}, % O4'
{6.7315, -4.9724, 3.4462}, % C1'
{7.0033, -3.9202, 3.3619}, % H1'
{7.5997, -5.8018, 2.4948}, % C2'
{8.3627, -6.3254, 3.0707}, % H2''
{8.0410, -4.9501, 1.4724}, % O2'
{8.2781, -4.0644, 1.7570}, % H2'
{6.5701, -6.8129, 1.9714}, % C3'
{6.4186, -7.5809, 2.7299}, % H3'
{6.9357, -7.3841, 0.7235}, % O3'
{6.8024, -5.4718, 4.8475}, % N1
{6.6920, -5.0495, 7.1354}, % N3
{6.6201, -4.5500, 5.8506}, % C2
{6.9254, -6.3614, 7.4926}, % C4
{7.1046, -7.2543, 6.3718}, % C5
{7.0391, -6.7951, 5.1106}, % C6
u, {
{6.4083, -3.3696, 5.6340}, % O2
{6.9679, -6.6901, 8.6800}, % O4
{6.5626, -4.3957, 7.8812}, % H3
{7.2781, -8.2254, 6.5350}, % H5
{7.1657, -7.4312, 4.3503}} % H6
}.
rU07() ->
{
{-0.9434, 0.3172, 0.0971, % dgf_base_tfo
0.2294, 0.4125, 0.8816,
0.2396, 0.8539, -0.4619,
8.3625, -52.7147, 1.3745},
{0.2765, -0.1121, -0.9545, % p_o3'_275_tfo
-0.8297, 0.4733, -0.2959,
0.4850, 0.8737, 0.0379,
-14.7774, -45.2464, 21.9088},
{0.1063, -0.6334, -0.7665, % p_o3'_180_tfo
-0.5932, -0.6591, 0.4624,
-0.7980, 0.4055, -0.4458,
43.7634, 4.3296, 28.4890},
{0.7136, -0.5032, -0.4873, % p_o3'_60_tfo
0.6803, 0.3317, 0.6536,
-0.1673, -0.7979, 0.5791,
-17.1858, 41.4390, -27.0751},
{21.3880, 15.0780, 45.5770}, % P
{21.9980, 14.5500, 46.8210}, % O1P
{21.1450, 14.0270, 44.5420}, % O2P
{22.1250, 16.3600, 44.9460}, % O5'
{21.5037, 16.8594, 43.7323}, % C5'
{20.8147, 17.6663, 43.9823}, % H5'
{21.1086, 16.0230, 43.1557}, % H5''
{22.5654, 17.4874, 42.8616}, % C4'
{22.1584, 17.7243, 41.8785}, % H4'
{23.0557, 18.6826, 43.4751}, % O4'
{24.4788, 18.6151, 43.6455}, % C1'
{24.9355, 19.0840, 42.7739}, % H1'
{24.7958, 17.1427, 43.6474}, % C2'
{24.5652, 16.7400, 44.6336}, % H2''
{26.1041, 16.8773, 43.2455}, % O2'
{26.7516, 17.5328, 43.5149}, % H2'
{23.8109, 16.5979, 42.6377}, % C3'
{23.5756, 15.5686, 42.9084}, % H3'
{24.2890, 16.7447, 41.2729}, % O3'
{24.9420, 19.2174, 44.8923}, % N1
{25.2655, 20.5636, 44.8883}, % N3
{25.1663, 21.2219, 43.8561}, % C2
{25.6911, 21.1219, 46.0494}, % C4
{25.8051, 20.4068, 47.2048}, % C5
{26.2093, 20.9962, 48.2534}, % C6
u, {
{25.4692, 19.0221, 47.2053}, % O2
{25.0502, 18.4827, 46.0370}, % O4
{25.9599, 22.1772, 46.0966}, % H3
{25.5545, 18.4409, 48.1234}, % H5
{24.7854, 17.4265, 45.9883}} % H6
}.
rU08() ->
{
{-0.0080, -0.7928, 0.6094, % dgf_base_tfo
-0.7512, 0.4071, 0.5197,
-0.6601, -0.4536, -0.5988,
44.1482, 30.7036, 2.1088},
{0.2765, -0.1121, -0.9545, % p_o3'_275_tfo
-0.8297, 0.4733, -0.2959,
0.4850, 0.8737, 0.0379,
-14.7774, -45.2464, 21.9088},
{0.1063, -0.6334, -0.7665, % p_o3'_180_tfo
-0.5932, -0.6591, 0.4624,
-0.7980, 0.4055, -0.4458,
43.7634, 4.3296, 28.4890},
{0.7136, -0.5032, -0.4873, % p_o3'_60_tfo
0.6803, 0.3317, 0.6536,
-0.1673, -0.7979, 0.5791,
-17.1858, 41.4390, -27.0751},
{21.3880, 15.0780, 45.5770}, % P
{21.9980, 14.5500, 46.8210}, % O1P
{21.1450, 14.0270, 44.5420}, % O2P
{22.1250, 16.3600, 44.9460}, % O5'
{23.5096, 16.1227, 44.5783}, % C5'
{23.5649, 15.8588, 43.5222}, % H5'
{23.9621, 15.4341, 45.2919}, % H5''
{24.2805, 17.4138, 44.7151}, % C4'
{25.3492, 17.2309, 44.6030}, % H4'
{23.8497, 18.3471, 43.7208}, % O4'
{23.4090, 19.5681, 44.3321}, % C1'
{24.2595, 20.2496, 44.3524}, % H1'
{23.0418, 19.1813, 45.7407}, % C2'
{22.0532, 18.7224, 45.7273}, % H2''
{23.1307, 20.2521, 46.6291}, % O2'
{22.8888, 21.1051, 46.2611}, % H2'
{24.0799, 18.1326, 46.0700}, % C3'
{23.6490, 17.4370, 46.7900}, % H3'
{25.3329, 18.7227, 46.5109}, % O3'
{22.2515, 20.1624, 43.6698}, % N1
{22.4760, 21.0609, 42.6406}, % N3
{23.6229, 21.3462, 42.3061}, % C2
{21.3986, 21.6081, 42.0236}, % C4
{20.1189, 21.3012, 42.3804}, % C5
{19.1599, 21.8516, 41.7578}, % C6
u, {
{19.8919, 20.3745, 43.4387}, % O2
{20.9790, 19.8423, 44.0440}, % O4
{21.5235, 22.3222, 41.2097}, % H3
{18.8732, 20.1200, 43.7312}, % H5
{20.8545, 19.1313, 44.8608}} % H6
}.
rU09() ->
{
{-0.0317, 0.1374, 0.9900, % dgf_base_tfo
-0.3422, -0.9321, 0.1184,
0.9391, -0.3351, 0.0765,
-32.1929, 25.8198, -28.5088},
{0.2765, -0.1121, -0.9545, % p_o3'_275_tfo
-0.8297, 0.4733, -0.2959,
0.4850, 0.8737, 0.0379,
-14.7774, -45.2464, 21.9088},
{0.1063, -0.6334, -0.7665, % p_o3'_180_tfo
-0.5932, -0.6591, 0.4624,
-0.7980, 0.4055, -0.4458,
43.7634, 4.3296, 28.4890},
{0.7136, -0.5032, -0.4873, % p_o3'_60_tfo
0.6803, 0.3317, 0.6536,
-0.1673, -0.7979, 0.5791,
-17.1858, 41.4390, -27.0751},
{21.3880, 15.0780, 45.5770}, % P
{21.9980, 14.5500, 46.8210}, % O1P
{21.1450, 14.0270, 44.5420}, % O2P
{22.1250, 16.3600, 44.9460}, % O5'
{21.5037, 16.8594, 43.7323}, % C5'
{20.8147, 17.6663, 43.9823}, % H5'
{21.1086, 16.0230, 43.1557}, % H5''
{22.5654, 17.4874, 42.8616}, % C4'
{23.0565, 18.3036, 43.3915}, % H4'
{23.5375, 16.5054, 42.4925}, % O4'
{23.6574, 16.4257, 41.0649}, % C1'
{24.4701, 17.0882, 40.7671}, % H1'
{22.3525, 16.9643, 40.5396}, % C2'
{21.5993, 16.1799, 40.6133}, % H2''
{22.4693, 17.4849, 39.2515}, % O2'
{23.0899, 17.0235, 38.6827}, % H2'
{22.0341, 18.0633, 41.5279}, % C3'
{20.9509, 18.1709, 41.5846}, % H3'
{22.7249, 19.3020, 41.2100}, % O3'
{23.8580, 15.0648, 40.5757}, % N1
{25.1556, 14.5982, 40.4523}, % N3
{26.1047, 15.3210, 40.7448}, % C2
{25.3391, 13.3315, 40.0020}, % C4
{24.2974, 12.5148, 39.6749}, % C5
{24.5450, 11.3410, 39.2610}, % C6
u, {
{22.9633, 12.9979, 39.8053}, % O2
{22.8009, 14.2648, 40.2524}, % O4
{26.3414, 12.9194, 39.8855}, % H3
{22.1227, 12.3533, 39.5486}, % H5
{21.7989, 14.6788, 40.3650}} % H6
}.
rU10() ->
{
{-0.9674, 0.1021, -0.2318, % dgf_base_tfo
-0.2514, -0.2766, 0.9275,
0.0306, 0.9555, 0.2933,
27.8571, -42.1305, -24.4563},
{0.2765, -0.1121, -0.9545, % p_o3'_275_tfo
-0.8297, 0.4733, -0.2959,
0.4850, 0.8737, 0.0379,
-14.7774, -45.2464, 21.9088},
{0.1063, -0.6334, -0.7665, % p_o3'_180_tfo
-0.5932, -0.6591, 0.4624,
-0.7980, 0.4055, -0.4458,
43.7634, 4.3296, 28.4890},
{0.7136, -0.5032, -0.4873, % p_o3'_60_tfo
0.6803, 0.3317, 0.6536,
-0.1673, -0.7979, 0.5791,
-17.1858, 41.4390, -27.0751},
{21.3880, 15.0780, 45.5770}, % P
{21.9980, 14.5500, 46.8210}, % O1P
{21.1450, 14.0270, 44.5420}, % O2P
{22.1250, 16.3600, 44.9460}, % O5'
{23.5096, 16.1227, 44.5783}, % C5'
{23.5649, 15.8588, 43.5222}, % H5'
{23.9621, 15.4341, 45.2919}, % H5''
{24.2805, 17.4138, 44.7151}, % C4'
{23.8509, 18.1819, 44.0720}, % H4'
{24.2506, 17.8583, 46.0741}, % O4'
{25.5830, 18.0320, 46.5775}, % C1'
{25.8569, 19.0761, 46.4256}, % H1'
{26.4410, 17.1555, 45.7033}, % C2'
{26.3459, 16.1253, 46.0462}, % H2''
{27.7649, 17.5888, 45.6478}, % O2'
{28.1004, 17.9719, 46.4616}, % H2'
{25.7796, 17.2997, 44.3513}, % C3'
{25.9478, 16.3824, 43.7871}, % H3'
{26.2154, 18.4984, 43.6541}, % O3'
{25.7321, 17.6281, 47.9726}, % N1
{25.5136, 18.5779, 48.9560}, % N3
{25.2079, 19.7276, 48.6503}, % C2
{25.6482, 18.1987, 50.2518}, % C4
{25.9847, 16.9266, 50.6092}, % C5
{26.0918, 16.6439, 51.8416}, % C6
u, {
{26.2067, 15.9515, 49.5943}, % O2
{26.0713, 16.3497, 48.3080}, % O4
{25.4890, 18.9105, 51.0618}, % H3
{26.4742, 14.9310, 49.8682}, % H5
{26.2346, 15.6394, 47.4975}} % H6
}.
rUs() -> [rU01(),rU02(),rU03(),rU04(),rU05(),rU06(),rU07(),
rU08(),rU09(),rU10()].
rG_() ->
{
{-0.2067, -0.0264, 0.9780, % dgf_base_tfo
0.9770, -0.0586, 0.2049,
0.0519, 0.9979, 0.0379,
1.0331, -46.8078, -36.4742},
{-0.8644, -0.4956, -0.0851, % p_o3'_275_tfo
-0.0427, 0.2409, -0.9696,
0.5010, -0.8345, -0.2294,
4.0167, 54.5377, 12.4779},
{0.3706, -0.6167, 0.6945, % p_o3'_180_tfo
-0.2867, -0.7872, -0.5460,
0.8834, 0.0032, -0.4686,
-52.9020, 18.6313, -0.6709},
{0.4155, 0.9025, -0.1137, % p_o3'_60_tfo
0.9040, -0.4236, -0.0582,
-0.1007, -0.0786, -0.9918,
-7.6624, -25.2080, 49.5181},
{31.3810, 0.1400, 47.5810}, % P
{29.9860, 0.6630, 47.6290}, % O1P
{31.7210, -0.6460, 48.8090}, % O2P
{32.4940, 1.2540, 47.2740}, % O5'
{32.1610, 2.2370, 46.2560}, % C5'
{31.2986, 2.8190, 46.5812}, % H5'
{32.0980, 1.7468, 45.2845}, % H5''
{33.3476, 3.1959, 46.1947}, % C4'
{33.2668, 3.8958, 45.3630}, % H4'
{33.3799, 3.9183, 47.4216}, % O4'
{34.6515, 3.7222, 48.0398}, % C1'
{35.2947, 4.5412, 47.7180}, % H1'
{35.1756, 2.4228, 47.4827}, % C2'
{34.6778, 1.5937, 47.9856}, % H2''
{36.5631, 2.2672, 47.4798}, % O2'
{37.0163, 2.6579, 48.2305}, % H2'
{34.6953, 2.5043, 46.0448}, % C3'
{34.5444, 1.4917, 45.6706}, % H3'
{35.6679, 3.3009, 45.3487}, % O3'
{37.4804, 4.0914, 52.2559}, % N1
{36.9670, 4.1312, 49.9281}, % N3
{37.8045, 4.2519, 50.9550}, % C2
{35.7171, 3.8264, 50.3222}, % C4
{35.2668, 3.6420, 51.6115}, % C5
{36.2037, 3.7829, 52.6706}, % C6
g, {
{39.0869, 4.5552, 50.7092}, % N2
{33.9075, 3.3338, 51.6102}, % N7
{34.6126, 3.6358, 49.5108}, % N9
{33.5805, 3.3442, 50.3425}, % C8
{35.9958, 3.6512, 53.8724}, % O6
{38.2106, 4.2053, 52.9295}, % H1
{39.8218, 4.6863, 51.3896}, % H21
{39.3420, 4.6857, 49.7407}, % H22
{32.5194, 3.1070, 50.2664}} % H8
}.
rU_() ->
{
{-0.0109, 0.5907, 0.8068, % dgf_base_tfo
0.2217, -0.7853, 0.5780,
0.9751, 0.1852, -0.1224,
-1.4225, -11.0956, -2.5217},
{-0.8313, -0.4738, -0.2906, % p_o3'_275_tfo
0.0649, 0.4366, -0.8973,
0.5521, -0.7648, -0.3322,
1.6833, 6.8060, -7.0011},
{0.3445, -0.7630, 0.5470, % p_o3'_180_tfo
-0.4628, -0.6450, -0.6082,
0.8168, -0.0436, -0.5753,
-6.8179, -3.9778, -5.9887},
{0.5855, 0.7931, -0.1682, % p_o3'_60_tfo
0.8103, -0.5790, 0.0906,
-0.0255, -0.1894, -0.9816,
6.1203, -7.1051, 3.1984},
{2.6760, -8.4960, 3.2880}, % P
{1.4950, -7.6230, 3.4770}, % O1P
{2.9490, -9.4640, 4.3740}, % O2P
{3.9730, -7.5950, 3.0340}, % O5'
{5.2430, -8.2420, 2.8260}, % C5'
{5.1974, -8.8497, 1.9223}, % H5'
{5.5548, -8.7348, 3.7469}, % H5''
{6.3140, -7.2060, 2.5510}, % C4'
{5.8744, -6.2116, 2.4731}, % H4'
{7.2798, -7.2260, 3.6420}, % O4'
{8.5733, -6.9410, 3.1329}, % C1'
{8.9047, -6.0374, 3.6446}, % H1'
{8.4429, -6.6596, 1.6327}, % C2'
{9.2880, -7.1071, 1.1096}, % H2''
{8.2502, -5.2799, 1.4754}, % O2'
{8.7676, -4.7284, 2.0667}, % H2'
{7.1642, -7.4416, 1.3021}, % C3'
{7.4125, -8.5002, 1.2260}, % H3'
{6.5160, -6.9772, 0.1267}, % O3'
{9.4531, -8.1107, 3.4087}, % N1
{11.5931, -9.0015, 3.6357}, % N3
{10.8101, -7.8950, 3.3748}, % C2
{11.1439, -10.2744, 3.9206}, % C4
{9.7056, -10.4026, 3.9332}, % C5
{8.9192, -9.3419, 3.6833}, % C6
u, {
{11.3013, -6.8063, 3.1326}, % O2
{11.9431, -11.1876, 4.1375}, % O4
{12.5840, -8.8673, 3.6158}, % H3
{9.2891, -11.2898, 4.1313}, % H5
{7.9263, -9.4537, 3.6977}} % H6
}.
% -- PARTIAL INSTANTIATIONS --------------------------------------------------
%var ::= {Int, Tfo, Nuc}
absolute_pos({_I,T,_N}, P) -> tfo_apply(T,P).
atom_pos(Atom, {I,T,N}) ->
absolute_pos({I,T,N}, p_apply(Atom, N)).
get_var(Id,[{Id,T,N}|_]) -> {Id,T,N};
get_var(Id,[_|Lst]) -> get_var(Id,Lst).
% make_relative_nuc(T,
% {
% Dgf_base_tfo,P_o3__275_tfo,P_o3__180_tfo,P_o3__60_tfo,
% P,O1p,O2p,O5_,C5_,H5_,H5__,C4_,H4_,O4_,C1_,H1_,C2_,H2__,O2_,H2_,
% C3_,H3_,O3_,N1,N3,C2,C4,C5,C6,
% a, {N6,N7,N9,C8,H2,H61,H62,H8}
% }) ->
% {
% Dgf_base_tfo, P_o3__275_tfo, P_o3__180_tfo, P_o3__60_tfo,
% tfo_apply(T, P),
% tfo_apply(T, O1p),
% tfo_apply(T, O2p),
% tfo_apply(T, O5_),
% tfo_apply(T, C5_),
% tfo_apply(T, H5_),
% tfo_apply(T, H5__),
% tfo_apply(T, C4_),
% tfo_apply(T, H4_),
% tfo_apply(T, O4_),
% tfo_apply(T, C1_),
% tfo_apply(T, H1_),
% tfo_apply(T, C2_),
% tfo_apply(T, H2__),
% tfo_apply(T, O2_),
% tfo_apply(T, H2_),
% tfo_apply(T, C3_),
% tfo_apply(T, H3_),
% tfo_apply(T, O3_),
% tfo_apply(T, N1),
% tfo_apply(T, N3),
% tfo_apply(T, C2),
% tfo_apply(T, C4),
% tfo_apply(T, C5),
% tfo_apply(T, C6),
% a, {
% tfo_apply(T, N6),
% tfo_apply(T, N7),
% tfo_apply(T, N9),
% tfo_apply(T, C8),
% tfo_apply(T, H2),
% tfo_apply(T, H61),
% tfo_apply(T, H62),
% tfo_apply(T, H8)}
% };
% make_relative_nuc(T,
% {
% Dgf_base_tfo,P_o3__275_tfo,P_o3__180_tfo,P_o3__60_tfo,
% P,O1p,O2p,O5_,C5_,H5_,H5__,C4_,H4_,O4_,C1_,H1_,C2_,H2__,O2_,H2_,
% C3_,H3_,O3_,N1,N3,C2,C4,C5,C6,
% c, {N4,O2,H41,H42,H5,H6}
% }) ->
% {
% Dgf_base_tfo, P_o3__275_tfo, P_o3__180_tfo, P_o3__60_tfo,
% tfo_apply(T, P),
% tfo_apply(T, O1p),
% tfo_apply(T, O2p),
% tfo_apply(T, O5_),
% tfo_apply(T, C5_),
% tfo_apply(T, H5_),
% tfo_apply(T, H5__),
% tfo_apply(T, C4_),
% tfo_apply(T, H4_),
% tfo_apply(T, O4_),
% tfo_apply(T, C1_),
% tfo_apply(T, H1_),
% tfo_apply(T, C2_),
% tfo_apply(T, H2__),
% tfo_apply(T, O2_),
% tfo_apply(T, H2_),
% tfo_apply(T, C3_),
% tfo_apply(T, H3_),
% tfo_apply(T, O3_),
% tfo_apply(T, N1),
% tfo_apply(T, N3),
% tfo_apply(T, C2),
% tfo_apply(T, C4),
% tfo_apply(T, C5),
% tfo_apply(T, C6),
% c, {
% tfo_apply(T, N4),
% tfo_apply(T, O2),
% tfo_apply(T, H41),
% tfo_apply(T, H42),
% tfo_apply(T, H5),
% tfo_apply(T, H6)}
% };
% make_relative_nuc(T,
% {
% Dgf_base_tfo,P_o3__275_tfo,P_o3__180_tfo,P_o3__60_tfo,
% P,O1p,O2p,O5_,C5_,H5_,H5__,C4_,H4_,O4_,C1_,H1_,C2_,H2__,O2_,H2_,
% C3_,H3_,O3_,N1,N3,C2,C4,C5,C6,
% g, {N2,N7,N9,C8,O6,H1,H21,H22,H8}
% }) ->
% {
% Dgf_base_tfo, P_o3__275_tfo, P_o3__180_tfo, P_o3__60_tfo,
% tfo_apply(T, P),
% tfo_apply(T, O1p),
% tfo_apply(T, O2p),
% tfo_apply(T, O5_),
% tfo_apply(T, C5_),
% tfo_apply(T, H5_),
% tfo_apply(T, H5__),
% tfo_apply(T, C4_),
% tfo_apply(T, H4_),
% tfo_apply(T, O4_),
% tfo_apply(T, C1_),
% tfo_apply(T, H1_),
% tfo_apply(T, C2_),
% tfo_apply(T, H2__),
% tfo_apply(T, O2_),
% tfo_apply(T, H2_),
% tfo_apply(T, C3_),
% tfo_apply(T, H3_),
% tfo_apply(T, O3_),
% tfo_apply(T, N1),
% tfo_apply(T, N3),
% tfo_apply(T, C2),
% tfo_apply(T, C4),
% tfo_apply(T, C5),
% tfo_apply(T, C6),
% g, {
% tfo_apply(T, N2),
% tfo_apply(T, N7),
% tfo_apply(T, N9),
% tfo_apply(T, C8),
% tfo_apply(T, O6),
% tfo_apply(T, H1),
% tfo_apply(T, H21),
% tfo_apply(T, H22),
% tfo_apply(T, H8)}
% };
% make_relative_nuc(T,
% {
% Dgf_base_tfo,P_o3__275_tfo,P_o3__180_tfo,P_o3__60_tfo,
% P,O1p,O2p,O5_,C5_,H5_,H5__,C4_,H4_,O4_,C1_,H1_,C2_,H2__,O2_,H2_,
% C3_,H3_,O3_,N1,N3,C2,C4,C5,C6,
% u, {O2,O4,H3,H5,H6}
% }) ->
% {
% Dgf_base_tfo, P_o3__275_tfo, P_o3__180_tfo, P_o3__60_tfo,
% tfo_apply(T, P),
% tfo_apply(T, O1p),
% tfo_apply(T, O2p),
% tfo_apply(T, O5_),
% tfo_apply(T, C5_),
% tfo_apply(T, H5_),
% tfo_apply(T, H5__),
% tfo_apply(T, C4_),
% tfo_apply(T, H4_),
% tfo_apply(T, O4_),
% tfo_apply(T, C1_),
% tfo_apply(T, H1_),
% tfo_apply(T, C2_),
% tfo_apply(T, H2__),
% tfo_apply(T, O2_),
% tfo_apply(T, H2_),
% tfo_apply(T, C3_),
% tfo_apply(T, H3_),
% tfo_apply(T, O3_),
% tfo_apply(T, N1),
% tfo_apply(T, N3),
% tfo_apply(T, C2),
% tfo_apply(T, C4),
% tfo_apply(T, C5),
% tfo_apply(T, C6),
% u, {
% tfo_apply(T, O2),
% tfo_apply(T, O4),
% tfo_apply(T, H3),
% tfo_apply(T, H5),
% tfo_apply(T, H6)}
% }.
% -- SEARCH ------------------------------------------------------------------
% Sequential backtracking algorithm
search(Partial_inst,[],_) ->
[Partial_inst];
search(Partial_inst,[{F,Arg0,Arg1}|T],Constraint) ->
try_assignments(p_apply(F, Arg0,Arg1,Partial_inst),
Constraint,
Partial_inst,
T);
search(Partial_inst,[{F,Arg0,Arg1,Arg2}|T],Constraint) ->
try_assignments(p_apply(F, Arg0,Arg1,Arg2,Partial_inst),
Constraint,
Partial_inst,
T).
try_assignments([],_,_,_) -> [];
try_assignments([V|Vs], Constraint, Partial_inst,T) ->
case p_apply(Constraint, V, Partial_inst) of
true -> append(search([V|Partial_inst],T,Constraint),
try_assignments(Vs, Constraint, Partial_inst,T));
_ -> try_assignments(Vs, Constraint, Partial_inst,T)
end.
% -- DOMAINS -----------------------------------------------------------------
% Primary structure: strand A CUGCCACGUCUG, strand B CAGACGUGGCAG
%
% Secondary structure: strand A CUGCCACGUCUG
% ||||||
% GACGGUGCAGAC strand B
%
% Tertiary structure:
%
% 5' end of strand A C1----G12 3' end of strand B
% U2-------A11
% G3-------C10
% C4-----G9
% C5---G8
% A6
% G6-C7
% C5----G8
% A4-------U9
% G3--------C10
% A2-------U11
% 5' end of strand B C1----G12 3' end of strand A
%
% "helix", "stacked" and "connected" describe the spatial relationship
% between two consecutive nucleotides. E.g. the nucleotides C1 and U2
% from the strand A.
%
% "wc" (stands for Watson-Crick and is a type of base-pairing),
% and "wc-dumas" describe the spatial relationship between
% nucleotides from two chains that are growing in opposite directions.
% E.g. the nucleotides C1 from strand A and G12 from strand B.
% Dynamic Domains
% Given,
% "ref" a nucleotide which is already positioned,
% "nuc" the nucleotide to be placed,
% and "tfo" a transformation matrix which expresses the desired
% relationship between "ref" and "nuc",
% the function "dgf-base" computes the transformation matrix that
% places the nucleotide "nuc" in the given relationship to "ref".
dgf_base(Tfo, V, Nuc) ->
{_I,_T,N} = V,
tfo_combine(nuc_dgf_base_tfo(Nuc),
tfo_combine(Tfo,tfo_inv_ortho(process_type(type(N),V)))).
process_type(a,V) ->
tfo_align(atom_pos(nuc_C1_, V),atom_pos(rA_N9, V),atom_pos(nuc_C4, V));
process_type(c,V) ->
tfo_align(atom_pos(nuc_C1_, V),atom_pos(nuc_N1, V),atom_pos(nuc_C2, V));
process_type(g,V) ->
tfo_align(atom_pos(nuc_C1_, V),atom_pos(rG_N9, V),atom_pos(nuc_C4, V));
process_type(_,V) ->
tfo_align(atom_pos(nuc_C1_, V),atom_pos(nuc_N1, V),atom_pos(nuc_C2, V)).
% Placement of first nucleotide.
reference(Nuc,I,_) ->
[{I,tfo_id(),Nuc}].
% The transformation matrix for wc is from:
%
% Chandrasekaran R. et al (1989) A Re-Examination of the Crystal
% Structure of A-DNA Using Fiber Diffraction Data. J. Biomol.
% Struct. & Dynamics 6(6):1189-1202.
wc_tfo() ->
{
-1.0000, 0.0028, -0.0019,
0.0028, 0.3468, -0.9379,
-0.0019, -0.9379, -0.3468,
-0.0080, 6.0730, 8.7208
}.
wc(Nuc,I,J,Partial_inst) ->
[{I,dgf_base(wc_tfo(),get_var(J,Partial_inst),Nuc),Nuc}].
wc_dumas_tfo() ->
{
-0.9737, -0.1834, 0.1352,
-0.1779, 0.2417, -0.9539,
0.1422, -0.9529, -0.2679,
0.4837, 6.2649, 8.0285
}.
wc_dumas(Nuc,I,J,Partial_inst) ->
[{I,dgf_base(wc_dumas_tfo(),get_var(J,Partial_inst),Nuc),Nuc}].
helix5__tfo() ->
{
0.9886, -0.0961, 0.1156,
0.1424, 0.8452, -0.5152,
-0.0482, 0.5258, 0.8492,
-3.8737, 0.5480, 3.8024
}.
helix5_(Nuc,I,J,Partial_inst) ->
[{I,dgf_base(helix5__tfo(),get_var(J,Partial_inst),Nuc),Nuc}].
helix3__tfo() ->
{
0.9886, 0.1424, -0.0482,
-0.0961, 0.8452, 0.5258,
0.1156, -0.5152, 0.8492,
3.4426, 2.0474, -3.7042
}.
helix3_(Nuc,I,J,Partial_inst) ->
[{I,dgf_base(helix3__tfo(),get_var(J,Partial_inst),Nuc),Nuc}].
g37_a38_tfo() ->
{
0.9991, 0.0164, -0.0387,
-0.0375, 0.7616, -0.6470,
0.0189, 0.6478, 0.7615,
-3.3018, 0.9975, 2.5585
}.
g37_a38(Nuc,I,J,Partial_inst) ->
{I,dgf_base(g37_a38_tfo(),get_var(J,Partial_inst),Nuc),Nuc}.
stacked5_(Nuc,I,J,Partial_inst) ->
[g37_a38(Nuc,I,J,Partial_inst) | helix5_(Nuc,I,J,Partial_inst)].
a38_g37_tfo() ->
{
0.9991, -0.0375, 0.0189,
0.0164, 0.7616, 0.6478,
-0.0387, -0.6470, 0.7615,
3.3819, 0.7718, -2.5321
}.
a38_g37(Nuc,I,J,Partial_inst) ->
{I,dgf_base(a38_g37_tfo(),get_var(J,Partial_inst),Nuc),Nuc}.
stacked3_(Nuc,I,J,Partial_inst) ->
[a38_g37(Nuc,I,J,Partial_inst) | helix3_(Nuc,I,J,Partial_inst)].
p_o3_(Nucs,I,J,Partial_inst) ->
generate([],Nucs,I,J,Partial_inst).
generate(Domains,[],_,_,_) ->
Domains;
generate(Domains,[N|Ns],I,J,Partial_inst) ->
Ref = get_var(J,Partial_inst),
Align = tfo_inv_ortho(tfo_align(atom_pos(nuc_O3_,Ref),
atom_pos(nuc_C3_,Ref),
atom_pos(nuc_C4_,Ref))),
generate([{I,tfo_combine(nuc_p_o3__60_tfo(N),Align),N},
{I,tfo_combine(nuc_p_o3__180_tfo(N),Align),N},
{I,tfo_combine(nuc_p_o3__275_tfo(N),Align),N} | Domains],
Ns,I,J,Partial_inst).
% -- PROBLEM STATEMENT -------------------------------------------------------
% Define anticodon problem -- Science 253:1255 Figure 3a, 3b and 3c
% anticodon_domains() ->
% [
% {reference, rC(), 27},
% {helix5_, rC(), 28, 27},
% {helix5_, rA(), 29, 28},
% {helix5_, rG(), 30, 29},
% {helix5_, rA(), 31, 30},
% {wc, rU(), 39, 31},
% {helix5_, rC(), 40, 39},
% {helix5_, rU(), 41, 40},
% {helix5_, rG(), 42, 41},
% {helix5_, rG(), 43, 42},
% {stacked3_, rA(), 38, 39},
% {stacked3_, rG(), 37, 38},
% {stacked3_, rA(), 36, 37},
% {stacked3_, rA(), 35, 36},
% {stacked3_, rG(), 34, 35}, %<-. Distance
% {p_o3_, rCs(), 32, 31}, % | Constraint
% {p_o3_, rUs(), 33, 32} %<-' 3.0 Angstroms
% ].
% Anticodon constraint
anticodon_constraint({33,T,N},Partial_inst) ->
check0(dist(34,{33,T,N},Partial_inst));
anticodon_constraint(_,_) -> true.
check0(Dist) when is_float(Dist), Dist =< 3.0 -> true;
check0(_) -> false.
dist(J,V,Partial_inst) ->
pt_dist(atom_pos(nuc_P, get_var(J,Partial_inst)),
atom_pos(nuc_O3_,V)).
% anticodon() -> search([], anticodon_domains(), anticodon_constraint).
% Define pseudoknot problem -- Science 253:1255 Figure 4a and 4b
pseudoknot_domains() ->
[
{reference, rA(), 23},
{wc_dumas, rU(), 8, 23},
{helix3_, rG(), 22, 23},
{wc_dumas, rC(), 9, 22},
{helix3_, rG(), 21, 22},
{wc_dumas, rC(), 10, 21},
{helix3_, rC(), 20, 21},
{wc_dumas, rG(), 11, 20},
{helix3_, rU_(), 19, 20}, %<-.
{wc_dumas, rA(), 12, 19}, % | Distance
% % | Constraint
% Helix 1 % | 4.0 Angstroms
{helix3_, rC(), 3, 19}, % |
{wc_dumas, rG(), 13, 3}, % |
{helix3_, rC(), 2, 3}, % |
{wc_dumas, rG(), 14, 2}, % |
{helix3_, rC(), 1, 2}, % |
{wc_dumas, rG_(), 15, 1}, % |
% % |
% L2 LOOP % |
{p_o3_, rUs(), 16, 15}, % |
{p_o3_, rCs(), 17, 16}, % |
{p_o3_, rAs(), 18, 17}, %<-'
%
% L1 LOOP
{helix3_, rU(), 7, 8}, %<-.
{p_o3_, rCs(), 4, 3}, % | Constraint
{stacked5_, rU(), 5, 4}, % | 4.5 Angstroms
{stacked5_, rC(), 6, 5} %<-'
].
% Pseudoknot constraint
pseudoknot_constraint({18,T,N}, Partial_inst) ->
check1(dist(19, {18,T,N}, Partial_inst));
pseudoknot_constraint({6,T,N}, Partial_inst) ->
check2(dist(7, {6,T,N}, Partial_inst));
pseudoknot_constraint(_,_) -> true.
check1(Dist) when is_float(Dist), Dist =< 4.0 -> true;
check1(_) -> false.
check2(Dist) when is_float(Dist), Dist =< 4.5 -> true;
check2(_) -> false.
pseudoknot() -> search([], pseudoknot_domains(), pseudoknot_constraint).
% -- TESTING -----------------------------------------------------------------
list_of_atoms(N) ->
append(list_of_common_atoms(N),list_of_specific_atoms(N)).
list_of_common_atoms
({
_,_,_,_,
P,O1p,O2p,O5_,C5_,H5_,H5__,C4_,H4_,O4_,C1_,H1_,C2_,H2__,O2_,H2_,
C3_,H3_,O3_,N1,N3,C2,C4,C5,C6,
_,_
}) ->
[P,O1p,O2p,O5_,C5_,H5_,H5__,C4_,H4_,O4_,C1_,H1_,C2_,H2__,O2_,H2_,
C3_,H3_,O3_,N1,N3,C2,C4,C5,C6].
list_of_specific_atoms({_,_,_,_,_,_,_,_,_,_,
_,_,_,_,_,_,_,_,_,_,
_,_,_,_,_,_,_,_,_,a,
{N6,N7,N9,C8,H2,H61,H62,H8}}) ->
[N6,N7,N9,C8,H2,H61,H62,H8];
list_of_specific_atoms({_,_,_,_,_,_,_,_,_,_,
_,_,_,_,_,_,_,_,_,_,
_,_,_,_,_,_,_,_,_,c,
{N4,O2,H41,H42,H5,H6}}) ->
[N4,O2,H41,H42,H5,H6];
list_of_specific_atoms({_,_,_,_,_,_,_,_,_,_,
_,_,_,_,_,_,_,_,_,_,
_,_,_,_,_,_,_,_,_,g,
{N2,N7,N9,C8,O6,H1,H21,H22,H8}}) ->
[N2,N7,N9,C8,O6,H1,H21,H22,H8];
list_of_specific_atoms({_,_,_,_,_,_,_,_,_,_,
_,_,_,_,_,_,_,_,_,_,
_,_,_,_,_,_,_,_,_,u,
{O2,O4,H3,H5,H6}}) ->
[O2,O4,H3,H5,H6].
var_most_distant_atom(V) ->
{_,_,N} = V,
maximum(map(distance,V,list_of_atoms(N))).
distance(V,P) ->
{X,Y,Z} = absolute_pos(V,P),
distance(X,Y,Z).
distance(X,Y,Z) when is_float(X), is_float(Y), is_float(Z) ->
math:sqrt(X * X + Y * Y + Z * Z).
sol_most_distant_atom(S) ->
maximum(map(var_most_distant_atom,S)).
most_distant_atom(Sols) ->
maximum(map(sol_most_distant_atom, Sols)).
maximum([H|T]) ->
max(T,H).
max([H|T],M) when is_float(H), is_float(M), H > M ->
max(T,H);
max([_|T],M) ->
max(T,M);
max([],M) -> M.
map(_Func,[]) -> [];
map(Func,[H|T]) ->
[p_apply(Func,H) | map(Func, T)].
map(_Func,_Arg,[]) -> [];
map(Func,Arg,[H|T]) ->
[p_apply(Func,Arg,H) | map(Func,Arg,T)].
% p_apply implements higher order functions
p_apply(sol_most_distant_atom, S) -> sol_most_distant_atom(S);
p_apply(var_most_distant_atom, V) -> var_most_distant_atom(V);
p_apply(nuc_C1_, X) -> nuc_C1_(X);
p_apply(nuc_C2, X) -> nuc_C2(X);
p_apply(nuc_C3_, X) -> nuc_C3_(X);
p_apply(nuc_C4, X) -> nuc_C4(X);
p_apply(nuc_C4_, X) -> nuc_C4_(X);
p_apply(nuc_N1, X) -> nuc_N1(X);
p_apply(nuc_O3_, X) -> nuc_O3_(X);
p_apply(nuc_P, X) -> nuc_P(X);
p_apply(nuc_dgf_base_tfo, X) -> nuc_dgf_base_tfo(X);
p_apply(nuc_p_o3__180_tfo, X) -> nuc_p_o3__180_tfo(X);
p_apply(nuc_p_o3__275_tfo, X) -> nuc_p_o3__275_tfo(X);
p_apply(nuc_p_o3__60_tfo, X) -> nuc_p_o3__60_tfo(X);
p_apply(rA_N9, X) -> rA_N9(X);
p_apply(rG_N9, X) -> rG_N9(X).
p_apply(anticodon_constraint, V, P) -> anticodon_constraint(V, P);
p_apply(pseudoknot_constraint, V, P) -> pseudoknot_constraint(V, P);
p_apply(distance, V, P) -> distance(V, P).
p_apply(reference, A1, A2, A3) -> reference(A1, A2, A3).
p_apply(helix5_, A1, A2, A3, A4) -> helix5_(A1, A2, A3, A4);
p_apply(wc, A1, A2, A3, A4) -> wc(A1, A2, A3, A4);
p_apply(stacked3_, A1, A2, A3, A4) -> stacked3_(A1, A2, A3, A4);
p_apply(p_o3_, A1, A2, A3, A4) -> p_o3_(A1, A2, A3, A4);
p_apply(wc_dumas, A1, A2, A3, A4) -> wc_dumas(A1, A2, A3, A4);
p_apply(helix3_, A1, A2, A3, A4) -> helix3_(A1, A2, A3, A4);
p_apply(stacked5_, A1, A2, A3, A4) -> stacked5_(A1, A2, A3, A4).
loop(0,R) -> R;
loop(N,_) -> loop(N-1,most_distant_atom(pseudoknot())).
