-
Notifications
You must be signed in to change notification settings - Fork 0
/
ndsu3lib_example_cpp.cpp
255 lines (245 loc) · 9.89 KB
/
ndsu3lib_example_cpp.cpp
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
/***************************************************************
ndsu3lib_example.cpp -- simple program tabulating SU(3) reduced Wigner
and recoupling coefficients to demonstrate usage of C++ wrappers
Jakub Herko
University of Notre Dame
SPDX-License-Identifier: MIT
***************************************************************/
#include <iostream>
#include "ndsu3lib.h"
void tabulate_wigner_canonical ()
// Tabulates SU(3)-SU(2)xU(1) reduced Wigner coefficients
// <(6,1)epsilon1,Lambda1;(2,1)epsilon2,Lambda2||(5,2)-9,5/2>_rho
{
ndsu3lib::su3irrep irrep1 = {6,1}, irrep2 = {2,1}, irrep3 = {5,2};
int epsilon3 = -9,
Lambda3_twice = 5, // Lambda3_twice is 2*Lambda3
rhomax = ndsu3lib::outer_multiplicity(irrep1, irrep2, irrep3),
dimpq = (std::max(irrep1.lambda,irrep1.mu)+1)*(irrep2.lambda+1)*(irrep2.mu+1);
int dimw = rhomax*dimpq,
numb, info;
int p1a[dimpq], p2a[dimpq], q2a[dimpq];
double wigner[dimw];
ndsu3lib::calculate_wigner_canonical(
irrep1, irrep2, irrep3, epsilon3, Lambda3_twice,
dimpq, dimw, rhomax, numb, wigner, p1a, p2a, q2a, info
);
if (info != 0)
{
std::cout << "calculate_wigner_canonical: invalid values of epsilon3 and Lambda3" << std::endl;
return;
}
std::cout << "SU(3)-SU(2)xU(1) reduced Wigner coefficients <(6,1)epsilon1,Lambda1;(2,1)epsilon2,Lambda2||(5,2)-9,5/2>_rho:" << std::endl;
std::cout << "epsilon1 2*Lambda1 epsilon2 2*Lambda2 coefficients for rho=1,...,rhomax=" << rhomax << std::endl;
for (int i = 0; i <= numb-1; i++)
{
int p1 = p1a[i],
p2 = p2a[i],
q2 = q2a[i];
int q1 = (2*(irrep1.lambda+irrep2.lambda)+irrep1.mu+irrep2.mu-epsilon3)/3-p1-p2-q2,
epsilon2 = 2*irrep2.lambda+irrep2.mu-3*(p2+q2);
int epsilon1 = epsilon3-epsilon2,
Lambda1_twice = irrep1.mu+p1-q1, // Lambda1_twice is 2*Lambda1
Lambda2_twice = irrep2.mu+p2-q2; // Lambda2_twice is 2*Lambda2
std::cout << " " << epsilon1 << " " << Lambda1_twice << " "
<< epsilon2 << " " << Lambda2_twice << " ";
for (int rho = 1; rho <= rhomax; rho++)
{
int ind = i+numb*(rho-1);
std::cout << wigner[ind] << " ";
}
std::cout << std::endl;
}
}
void tabulate_wigner_su3so3 ()
// Tabulates SU(3)-SO(3) reduced Wigner coefficients
// <(6,1)kappa1,2;(2,1)kappa2,3||(5,2)kappa3,3>_rho
{
ndsu3lib::su3irrep irrep1 = {6,1}, irrep2 = {2,1}, irrep3 = {5,2};
int L1 = 2, L2 = 3, L3 = 3;
int rhomax = ndsu3lib::outer_multiplicity(irrep1, irrep2, irrep3),
kappa1max = ndsu3lib::inner_multiplicity(irrep1, L1),
kappa2max = ndsu3lib::inner_multiplicity(irrep2, L2),
kappa3max = ndsu3lib::inner_multiplicity(irrep3, L3);
int dimen = kappa1max*kappa2max*kappa3max*rhomax;
double wigner[dimen];
ndsu3lib::calculate_wigner_su3so3(
irrep1, L1, irrep2, L2, irrep3, L3, kappa1max, kappa2max, kappa3max,
rhomax, dimen, wigner
);
std::cout << std::endl;
std::cout << "SU(3)-SO(3) reduced Wigner coefficients <(6,1)kappa1,2;(2,1)kappa2,3||(5,2)kappa3,3>_rho:" << std::endl;
std::cout << "kappa1 kappa2 kappa3 coefficients for rho=1,...,rhomax=" << rhomax << std::endl;
for(int kappa1 = 1; kappa1 <= kappa1max; kappa1++)
{
for(int kappa2 = 1; kappa2 <= kappa2max; kappa2++)
{
for(int kappa3 = 1; kappa3 <= kappa3max; kappa3++)
{
std::cout << " " << kappa1 << " " << kappa2 << " " << kappa3 << " ";
for(int rho = 1; rho <= rhomax; rho++)
{
int ind = kappa1+kappa1max*(kappa2-1)+kappa1max*kappa2max*(kappa3-1)
+kappa1max*kappa2max*kappa3max*(rho-1)-1;
std::cout << wigner[ind] << " ";
}
std::cout << std::endl;
}
}
}
}
void tabulate_u_coeff ()
// Tabulates SU(3) recoupling coefficients
// U[(9,3)(1,1)(6,6)(2,2);(9,3)rhoa,rhob(3,3)rhoc,rhod]
{
ndsu3lib::su3irrep irrep1 = {9,3}, irrep2 = {1,1}, irrep = {6,6},
irrep3 = {2,2}, irrep12 = {9,3}, irrep23 = {3,3};
int rhomaxa = ndsu3lib::outer_multiplicity(irrep1, irrep2, irrep12),
rhomaxb = ndsu3lib::outer_multiplicity(irrep12, irrep3, irrep),
rhomaxc = ndsu3lib::outer_multiplicity(irrep2, irrep3, irrep23),
rhomaxd = ndsu3lib::outer_multiplicity(irrep1, irrep23, irrep);
int dimen = rhomaxa*rhomaxb*rhomaxc*rhomaxd,
info;
double rac[dimen];
ndsu3lib::calculate_u_coeff(
irrep1, irrep2, irrep, irrep3, irrep12, irrep23,
rhomaxa, rhomaxb, rhomaxc, rhomaxd, dimen, rac, info
);
std::cout << std::endl;
if(info != 0)
{
std::cout << "calculate_u_coeff: MKL subroutine dgesv ran with error: info=" << info << std::endl;
return;
}
std::cout << "SU(3) recoupling coefficients U[(9,3)(1,1)(6,6)(2,2);(9,3)rhoa,rhob(3,3)rhoc,rhod]:" << std::endl;
std::cout << "rhoa rhob rhoc rhod coefficient" << std::endl;
for(int rhoa = 1; rhoa <= rhomaxa; rhoa++)
{
for(int rhob = 1; rhob <= rhomaxb; rhob++)
{
for(int rhoc = 1; rhoc <= rhomaxc; rhoc++)
{
for(int rhod = 1; rhod <= rhomaxd; rhod++)
{
int ind = rhoa+rhomaxa*(rhob-1)+rhomaxa*rhomaxb*(rhoc-1)+rhomaxa*rhomaxb*rhomaxc*(rhod-1)-1;
std::cout << " " << rhoa << " " << rhob << " " << rhoc
<< " " << rhod << " " << rac[ind] << std::endl;
}
}
}
}
}
void tabulate_z_coeff ()
// Tabulates SU(3) recoupling coefficients
// Z[(9,3)(1,1)(6,6)(2,2);(9,3)rhoa,rhob(3,3)rhoc,rhod]
{
ndsu3lib::su3irrep irrep2 = {9,3}, irrep1 = {1,1}, irrep = {6,6},
irrep3 = {2,2}, irrep12 = {9,3}, irrep13 = {3,3};
int rhomaxa = ndsu3lib::outer_multiplicity(irrep1, irrep2, irrep12),
rhomaxb = ndsu3lib::outer_multiplicity(irrep12, irrep3, irrep),
rhomaxc = ndsu3lib::outer_multiplicity(irrep1, irrep3, irrep13),
rhomaxd = ndsu3lib::outer_multiplicity(irrep13, irrep2, irrep);
int dimen = rhomaxa*rhomaxb*rhomaxc*rhomaxd,
info;
double Zcoeff[dimen];
ndsu3lib::calculate_z_coeff(
irrep2, irrep1, irrep, irrep3, irrep12, irrep13,
rhomaxa, rhomaxb, rhomaxc, rhomaxd, dimen, Zcoeff, info
);
std::cout << std::endl;
if(info != 0)
{
std::cout << "calculate_z_coeff: MKL subroutine dgesv ran with error: info=" << info << std::endl;
return;
}
std::cout << "SU(3) recoupling coefficients Z[(9,3)(1,1)(6,6)(2,2);(9,3)rhoa,rhob(3,3)rhoc,rhod]:" << std::endl;
std::cout << "rhoa rhob rhoc rhod coefficient" << std::endl;
for(int rhoa = 1; rhoa <= rhomaxa; rhoa++)
{
for(int rhob = 1; rhob <= rhomaxb; rhob++)
{
for(int rhoc = 1; rhoc <= rhomaxc; rhoc++)
{
for(int rhod = 1; rhod <= rhomaxd; rhod++)
{
int ind = rhoa+rhomaxa*(rhob-1)+rhomaxa*rhomaxb*(rhoc-1)+rhomaxa*rhomaxb*rhomaxc*(rhod-1)-1;
std::cout << " " << rhoa << " " << rhob << " " << rhoc
<< " " << rhod << " " << Zcoeff[ind] << std::endl;
}
}
}
}
}
void tabulate_nine_lm ()
// |(1,1) (0,0) (1,1) rho12 |
// Tabulates 9-(lambda,mu) coefficients |(0,4) (4,2) (2,4) rho34 |
// |(2,3) (4,2) (2,4) rho1324|
// |rho13 rho24 rho1234 |
{
ndsu3lib::su3irrep irrep1 = {1,1}, irrep2 = {0,0}, irrep12 = {1,1},
irrep3 = {0,4}, irrep4 = {4,2}, irrep34 = {2,4},
irrep13 = {2,3}, irrep24 = {4,2}, irrep = {2,4};
int rhomax12 = ndsu3lib::outer_multiplicity(irrep1, irrep2, irrep12),
rhomax34 = ndsu3lib::outer_multiplicity(irrep3, irrep4, irrep34),
rhomax1234 = ndsu3lib::outer_multiplicity(irrep12, irrep34, irrep),
rhomax13 = ndsu3lib::outer_multiplicity(irrep1, irrep3, irrep13),
rhomax24 = ndsu3lib::outer_multiplicity(irrep2, irrep4, irrep24),
rhomax1324 = ndsu3lib::outer_multiplicity(irrep13, irrep24, irrep);
int dimen = rhomax12*rhomax34*rhomax1234*rhomax13*rhomax24*rhomax1324,
info;
double ninelm[dimen];
ndsu3lib::calculate_9_lambda_mu(
irrep1, irrep2, irrep12,
irrep3, irrep4, irrep34,
irrep13, irrep24, irrep,
rhomax12, rhomax34, rhomax1234, rhomax13, rhomax24, rhomax1324,
dimen, ninelm, info
);
std::cout << std::endl;
if(info != 0)
{
std::cout << "calculate_9_lambda_mu: MKL subroutine dgesv ran with error: info=" << info << std::endl;
return;
}
std::cout << " |(1,1) (0,0) (1,1) rho12 |" << std::endl;
std::cout << "9-(lambda,mu) coefficients |(0,4) (4,2) (2,4) rho34 |:" << std::endl;
std::cout << " |(2,3) (4,2) (2,4) rho1324|" << std::endl;
std::cout << " |rho13 rho24 rho1234 |" << std::endl;
std::cout << "rho12 rho34 rho1234 rho13 rho24 rho1324 coefficient" << std::endl;
for(int rho12 = 1; rho12 <= rhomax12; rho12++)
{
for(int rho34 = 1; rho34 <= rhomax34; rho34++)
{
for(int rho1234 = 1; rho1234 <= rhomax1234; rho1234++)
{
for(int rho13 = 1; rho13 <= rhomax13; rho13++)
{
for(int rho24 = 1; rho24 <= rhomax24; rho24++)
{
for(int rho1324 = 1; rho1324 <= rhomax1324; rho1324++)
{
int ind = rho12+rhomax12*(rho34-1)+rhomax12*rhomax34*(rho1234-1)
+rhomax12*rhomax34*rhomax1234*(rho13-1)
+rhomax12*rhomax34*rhomax1234*rhomax13*(rho24-1)
+rhomax12*rhomax34*rhomax1234*rhomax13*rhomax24*(rho1324-1)-1;
std::cout << " " << rho12 << " " << rho34 << " " << rho1234
<< " " << rho13 << " " << rho24 << " "
<< rho1324 << " " << ninelm[ind] << std::endl;
}
}
}
}
}
}
}
int main()
{
ndsu3lib::initialize_ndsu3lib(true, 400);
tabulate_wigner_canonical ();
tabulate_wigner_su3so3 ();
tabulate_u_coeff ();
tabulate_z_coeff ();
tabulate_nine_lm ();
ndsu3lib::finalize_ndsu3lib(true);
return 0;
}