7 #include "exponentialsum.h"
10 #include "measurepauli.h"
11 #include "innerproduct.h"
13 #define ZEROTHRESHOLD (0.00000001)
15 int readPaulicoeffs(int *omega, int *alpha, int *beta, int *gamma, int *delta, int numqubits);
17 void outerProductMod(int **A, int **B, int **C, int ro1, int co1, int ro2, int co2, int mod);
19 // order of matrix elements is [row][column]!!!
24 int N; // number of qubits
28 printf("'N' needs to be a multiple of 12 for a k=12 tensor factor decomposition!\n");
32 int T; // number of T gate magic states (set to the first 'K' of the 'N' qubits -- the rest are set to the '0' computational basis state)
36 int alpha[N], beta[N], gamma[N], delta[N];
41 double complex coeffb60 = (-16.0+12.0*sqrt(2.0)+0.0*I)*pow(cos(PI/8.0),6)*cexp(6.0*PI*I/8.0)/8.0*cpow(2.0,3.0);
42 double complex coeffb66 = (96.0-68.0*sqrt(2.0)+0.0*I)*pow(cos(PI/8.0),6)*cexp(6.0*PI*I/8.0)/8.0*cpow(2.0,3.0);
43 double complex coeffe6 = (10.0-7.0*sqrt(2.0)+0.0*I)*pow(cos(PI/8.0),6)*cexp(6.0*PI*I/8.0)*cpow(2.0,2.5);
44 double complex coeffo6 = (-14.0+10.0*sqrt(2.0)+0.0*I)*pow(cos(PI/8.0),6)*cexp(-14.0*PI*I/8.0)*cpow(2.0,2.5);
45 double complex coeffk6 = (7.0-5.0*sqrt(2.0)+0.0*I)*pow(cos(PI/8.0),6)*cexp(-8.0*PI*I/8.0)*4.0*csqrt(2.0)*cpow(2.0,0.5);
46 double complex coeffphiprime = (10.0-7.0*sqrt(2.0)+0.0*I)*pow(cos(PI/8.0),6)*cexp(2.0*PI*I/8.0)*cpow(2.0,2.5);
47 double complex coeffphidprime = (10.0-7.0*sqrt(2.0)+0.0*I)*pow(cos(PI/8.0),6)*cexp(2.0*PI*I/8.0)*cpow(2.0,2.5);
50 int nn1 = 6; int kk1 = 6; int (*(GG1[])) = { (int[]) {1, 0, 0, 0, 0, 0}, (int[]) {0, 1, 0, 0, 0, 0}, (int[]) {0, 0, 1, 0, 0, 0}, (int[]) {0, 0, 0, 1, 0, 0}, (int[]) {0, 0, 0, 0, 1, 0}, (int[]) {0, 0, 0, 0, 0, 1}}; int (*(GGBar1[])) = { (int[]) {1, 0, 0, 0, 0, 0}, (int[]) {0, 1, 0, 0, 0, 0}, (int[]) {0, 0, 1, 0, 0, 0}, (int[]) {0, 0, 0, 1, 0, 0}, (int[]) {0, 0, 0, 0, 1, 0}, (int[]) {0, 0, 0, 0, 0, 1}}; int hh1[] = {0, 0, 0, 0, 0, 0}; int QQ1 = 0; int DD1[] = {0, 0, 0, 0, 0, 0}; int (*(JJ1[])) = { (int[]) {0, 0, 0, 0, 0, 0}, (int[]) {0, 0, 0, 0, 0, 0}, (int[]) {0, 0, 0, 0, 0, 0}, (int[]) {0, 0, 0, 0, 0, 0}, (int[]) {0, 0, 0, 0, 0, 0}, (int[]) {0, 0, 0, 0, 0, 0} };
52 int nn2 = 6; int kk2 = 6; int (*(GG2[])) = { (int[]) {1, 0, 0, 0, 0, 0}, (int[]) {0, 1, 0, 0, 0, 0}, (int[]) {0, 0, 1, 0, 0, 0}, (int[]) {0, 0, 0, 1, 0, 0}, (int[]) {0, 0, 0, 0, 1, 0}, (int[]) {0, 0, 0, 0, 0, 1}}; int (*(GGBar2[])) = { (int[]) {1, 0, 0, 0, 0, 0}, (int[]) {0, 1, 0, 0, 0, 0}, (int[]) {0, 0, 1, 0, 0, 0}, (int[]) {0, 0, 0, 1, 0, 0}, (int[]) {0, 0, 0, 0, 1, 0}, (int[]) {0, 0, 0, 0, 0, 1}}; int hh2[] = {0, 0, 0, 0, 0, 0}; int QQ2 = 4; int DD2[] = {4, 4, 4, 4, 4, 4}; int (*(JJ2[])) = { (int[]) {0, 0, 0, 0, 0, 0}, (int[]) {0, 0, 0, 0, 0, 0}, (int[]) {0, 0, 0, 0, 0, 0}, (int[]) {0, 0, 0, 0, 0, 0}, (int[]) {0, 0, 0, 0, 0, 0}, (int[]) {0, 0, 0, 0, 0, 0} };
54 int nn3 = 6; int kk3 = 5; int (*(GG3[])) = { (int[]) {1, 1, 0, 0, 0, 0}, (int[]) {1, 0, 1, 0, 0, 0}, (int[]) {1, 0, 0, 1, 0, 0}, (int[]) {1, 0, 0, 0, 1, 0}, (int[]) {1, 0, 0, 0, 0, 1}, (int[]) {1, 0, 0, 0, 0, 0} }; int (*(GGBar3[])) = { (int[]) {0, 1, 0, 0, 0, 0}, (int[]) {0, 0, 1, 0, 0, 0}, (int[]) {0, 0, 0, 1, 0, 0}, (int[]) {0, 0, 0, 0, 1, 0}, (int[]) {0, 0, 0, 0, 0, 1}, (int[]) {1, 1, 1, 1, 1, 1} }; int hh3[] = {1, 0, 0, 0, 0, 0}; int QQ3 = 4; int DD3[] = {0, 0, 0, 0, 0}; int (*(JJ3[])) = { (int[]) {0, 4, 4, 4, 4}, (int[]) {4, 0, 4, 4, 4}, (int[]) {4, 4, 0, 4, 4}, (int[]) {4, 4, 4, 0, 4}, (int[]) {4, 4, 4, 4, 0} };
56 int nn4 = 6; int kk4 = 5; int (*(GG4[])) = { (int[]) {1, 1, 0, 0, 0, 0}, (int[]) {1, 0, 1, 0, 0, 0}, (int[]) {1, 0, 0, 1, 0, 0}, (int[]) {1, 0, 0, 0, 1, 0}, (int[]) {1, 0, 0, 0, 0, 1}, (int[]) {1, 0, 0, 0, 0, 0} }; int (*(GGBar4[])) = { (int[]) {0, 1, 0, 0, 0, 0}, (int[]) {0, 0, 1, 0, 0, 0}, (int[]) {0, 0, 0, 1, 0, 0}, (int[]) {0, 0, 0, 0, 1, 0}, (int[]) {0, 0, 0, 0, 0, 1}, (int[]) {1, 1, 1, 1, 1, 1} }; int hh4[] = {0, 0, 0, 0, 0, 0}; int QQ4 = 4; int DD4[] = {4, 4, 4, 4, 4}; int (*(JJ4[])) = { (int[]) {0, 4, 4, 4, 4}, (int[]) {4, 0, 4, 4, 4}, (int[]) {4, 4, 0, 4, 4}, (int[]) {4, 4, 4, 0, 4}, (int[]) {4, 4, 4, 4, 0} };
58 int nn5 = 6; int kk5 = 1; int (*(GG5[])) = { (int[]) {1, 1, 1, 1, 1, 1}, (int[]) {0, 1, 0, 0, 0, 0}, (int[]) {0, 0, 1, 0, 0, 0}, (int[]) {0, 0, 0, 1, 0, 0}, (int[]) {0, 0, 0, 0, 1, 0}, (int[]) {0, 0, 0, 0, 0, 1} }; int (*(GGBar5[])) = { (int[]) {1, 0, 0, 0, 0, 0}, (int[]) {1, 1, 0, 0, 0, 0}, (int[]) {1, 0, 1, 0, 0, 0}, (int[]) {1, 0, 0, 1, 0, 0}, (int[]) {1, 0, 0, 0, 1, 0}, (int[]) {1, 0, 0, 0, 0, 1} }; int hh5[] = {1, 1, 1, 1, 1, 1}; int QQ5 = 6; int DD5[] = {2}; int (*(JJ5[])) = { (int[]) {4} };
60 int nn6 = 6; int kk6 = 5; int (*(GG6[])) = { (int[]) {1, 1, 0, 0, 0, 0}, (int[]) {1, 0, 1, 0, 0, 0}, (int[]) {1, 0, 0, 1, 0, 0}, (int[]) {1, 0, 0, 0, 1, 0}, (int[]) {1, 0, 0, 0, 0, 1}, (int[]) {1, 0, 0, 0, 0, 0} }; int (*(GGBar6[])) = { (int[]) {0, 1, 0, 0, 0, 0}, (int[]) {0, 0, 1, 0, 0, 0}, (int[]) {0, 0, 0, 1, 0, 0}, (int[]) {0, 0, 0, 0, 1, 0}, (int[]) {0, 0, 0, 0, 0, 1}, (int[]) {1, 1, 1, 1, 1, 1} }; int hh6[] = {1, 0, 0, 0, 0, 0}; int QQ6 = 0; int DD6[] = {0, 0, 0, 0, 0}; int (*(JJ6[])) = { (int[]) {0, 4, 0, 0, 4}, (int[]) {4, 0, 4, 0, 0}, (int[]) {0, 4, 0, 4, 0}, (int[]) {0, 0, 4, 0, 4}, (int[]) {4, 0, 0, 4, 0} };
62 int nn7 = 6; int kk7 = 5; int (*(GG7[])) = { (int[]) {1, 1, 0, 0, 0, 0}, (int[]) {1, 0, 1, 0, 0, 0}, (int[]) {1, 0, 0, 1, 0, 0}, (int[]) {1, 0, 0, 0, 1, 0}, (int[]) {1, 0, 0, 0, 0, 1}, (int[]) {1, 0, 0, 0, 0, 0} }; int (*(GGBar7[])) = { (int[]) {0, 1, 0, 0, 0, 0}, (int[]) {0, 0, 1, 0, 0, 0}, (int[]) {0, 0, 0, 1, 0, 0}, (int[]) {0, 0, 0, 0, 1, 0}, (int[]) {0, 0, 0, 0, 0, 1}, (int[]) {1, 1, 1, 1, 1, 1} }; int hh7[] = {1, 0, 0, 0, 0, 0}; int QQ7 = 0; int DD7[] = {0, 0, 0, 0, 0}; int (*(JJ7[])) = { (int[]) {0, 0, 4, 4, 0}, (int[]) {0, 0, 0, 4, 4}, (int[]) {4, 0, 0, 0, 4}, (int[]) {4, 4, 0, 0, 0}, (int[]) {0, 4, 4, 0, 0} };
65 int n1 = nn1+nn1; int k1 = kk1+kk1; int **G1; int **GBar1; int *h1; int Q1; int *D1; int **J1;
66 G1 = calloc(nn1+nn1,sizeof(int*));
67 GBar1 = calloc(nn1+nn1,sizeof(int*));
68 h1 = calloc(nn1+nn1,sizeof(int));
69 D1 = calloc(kk1+kk1,sizeof(int));
70 J1 = calloc(kk1+kk1,sizeof(int*));
71 for(i=0; i<nn1+nn1; i++) {
72 G1[i] = calloc(nn1+nn1, sizeof(int)); GBar1[i] = calloc(nn1+nn1, sizeof(int));
74 for(i=0; i<kk1+kk1; i++)
75 J1[i] = calloc(kk1+kk1, sizeof(int));
76 //appendBlockMatrix(GG1, GG1, G1, nn1, nn1, nn1, nn1);
77 addSubMatrix(GG1, G1, kk1, nn1, 0, 0, 0, 0);
78 addSubMatrix(GG1, G1, kk1, nn1, 0, 0, kk1, nn1);
79 addSubMatrix(GG1, G1, nn1-kk1, nn1, kk1, 0, kk1+kk1, 0); // put the out-of-subspace vectors at the end
80 addSubMatrix(GG1, G1, nn1-kk1, nn1, kk1, 0, kk1+kk1+nn1-kk1, nn1);
81 //appendBlockMatrix(GGBar1, GGBar1, GBar1, nn1, nn1, nn1, nn1);
82 addSubMatrix(GGBar1, GBar1, kk1, nn1, 0, 0, 0, 0);
83 addSubMatrix(GGBar1, GBar1, kk1, nn1, 0, 0, kk1, nn1);
84 addSubMatrix(GGBar1, GBar1, nn1-kk1, nn1, kk1, 0, kk1+kk1, 0); // put the out-of-subspace vectors at the end
85 addSubMatrix(GGBar1, GBar1, nn1-kk1, nn1, kk1, 0, kk1+kk1+nn1-kk1, nn1);
86 appendVector(hh1, hh1, h1, nn1, nn1);
88 appendVector(DD1, DD1, D1, kk1, kk1);
89 appendBlockMatrix(JJ1, JJ1, J1, kk1, kk1, kk1, kk1);
90 //addSubMatrix(JJ1, J1, kk1, kk1, 0, 0, 0, 0);
91 //addSubMatrix(JJ1, J1, kk1, kk1, 0, 0, kk1, kk1);
94 /*int n2 = nn1+nn2; int k2 = kk1+kk2; int **G2; int **GBar2; int *h2; int Q2; int *D2; int **J2;
95 G2 = calloc(nn1+nn2,sizeof(int*));
96 GBar2 = calloc(nn1+nn2,sizeof(int*));
97 h2 = calloc(nn1+nn2,sizeof(int));
98 D2 = calloc(kk1+kk2,sizeof(int));
99 J2 = calloc(kk1+kk2,sizeof(int*));
100 for(i=0; i<nn1+nn2; i++) {
101 G2[i] = calloc(nn1+nn2, sizeof(int)); GBar2[i] = calloc(nn1+nn2, sizeof(int));
103 for(i=0; i<kk1+kk2; i++)
104 J2[i] = calloc(kk1+kk2, sizeof(int));
105 //appendBlockMatrix(GG2, GG1, G2, nn2, nn2, nn1, nn1);
106 addSubMatrix(GG2, G2, kk2, nn2, 0, 0, 0, 0);
107 addSubMatrix(GG1, G2, kk1, nn1, 0, 0, kk2, nn2);
108 addSubMatrix(GG2, G2, nn2-kk2, nn2, kk2, 0, kk2+kk1, 0); // put the out-of-subspace vectors at the end
109 addSubMatrix(GG1, G2, nn1-kk1, nn1, kk1, 0, kk2+kk1+nn2-kk2, nn1);
110 //appendBlockMatrix(GGBar2, GGBar1, GBar2, nn2, nn2, nn1, nn1);
111 addSubMatrix(GGBar2, GBar2, kk2, nn2, 0, 0, 0, 0);
112 addSubMatrix(GGBar1, GBar2, kk1, nn1, 0, 0, kk2, nn2);
113 addSubMatrix(GGBar2, GBar2, nn2-kk2, nn2, kk2, 0, kk2+kk1, 0); // put the out-of-subspace vectors at the end
114 addSubMatrix(GGBar1, GBar2, nn1-kk1, nn1, kk1, 0, kk2+kk1+nn2-kk2, nn1);
115 appendVector(hh2, hh1, h2, nn2, nn1);
117 appendVector(DD2, DD1, D2, kk2, kk1);
118 appendBlockMatrix(JJ2, JJ1, J2, kk2, kk2, kk1, kk1);*/
121 int n2 = nn1+nn3; int k2 = kk1+kk3; int **G2; int **GBar2; int *h2; int Q2; int *D2; int **J2;
122 G2 = calloc(nn1+nn3,sizeof(int*));
123 GBar2 = calloc(nn1+nn3,sizeof(int*));
124 h2 = calloc(nn1+nn3,sizeof(int));
125 D2 = calloc(kk1+kk3,sizeof(int));
126 J2 = calloc(kk1+kk3,sizeof(int*));
127 for(i=0; i<nn1+nn3; i++) {
128 G2[i] = calloc(nn1+nn3, sizeof(int)); GBar2[i] = calloc(nn1+nn3, sizeof(int));
130 for(i=0; i<kk1+kk3; i++)
131 J2[i] = calloc(kk1+kk3, sizeof(int));
132 //appendBlockMatrix(GG3, GG1, G3, nn3, nn3, nn1, nn1);
133 addSubMatrix(GG3, G2, kk3, nn3, 0, 0, 0, 0);
134 addSubMatrix(GG1, G2, kk1, nn1, 0, 0, kk3, nn3);
135 addSubMatrix(GG3, G2, nn3-kk3, nn3, kk3, 0, kk3+kk1, 0); // put the out-of-subspace vectors at the end
136 addSubMatrix(GG1, G2, nn1-kk1, nn1, kk1, 0, kk3+kk1+nn3-kk3, nn1);
137 //appendBlockMatrix(GGBar3, GGBar1, GBar3, nn3, nn3, nn1, nn1);
138 addSubMatrix(GGBar3, GBar2, kk3, nn3, 0, 0, 0, 0);
139 addSubMatrix(GGBar1, GBar2, kk1, nn1, 0, 0, kk3, nn3);
140 addSubMatrix(GGBar3, GBar2, nn3-kk3, nn3, kk3, 0, kk3+kk1, 0); // put the out-of-subspace vectors at the end
141 addSubMatrix(GGBar1, GBar2, nn1-kk1, nn1, kk1, 0, kk3+kk1+nn3-kk3, nn1);
142 appendVector(hh3, hh1, h2, nn3, nn1);
144 appendVector(DD3, DD1, D2, kk3, kk1);
145 appendBlockMatrix(JJ3, JJ1, J2, kk3, kk3, kk1, kk1);
148 int n3 = nn1+nn4; int k3 = kk1+kk4; int **G3; int **GBar3; int *h3; int Q3; int *D3; int **J3;
149 G3 = calloc(nn1+nn4,sizeof(int*));
150 GBar3 = calloc(nn1+nn4,sizeof(int*));
151 h3 = calloc(nn1+nn4,sizeof(int));
152 D3 = calloc(kk1+kk4,sizeof(int));
153 J3 = calloc(kk1+kk4,sizeof(int*));
154 for(i=0; i<nn1+nn4; i++) {
155 G3[i] = calloc(nn1+nn4, sizeof(int)); GBar3[i] = calloc(nn1+nn4, sizeof(int));
157 for(i=0; i<kk1+kk4; i++)
158 J3[i] = calloc(kk1+kk4, sizeof(int));
159 //appendBlockMatrix(GG4, GG1, G4, nn4, nn4, nn1, nn1);
160 addSubMatrix(GG4, G3, kk4, nn4, 0, 0, 0, 0);
161 addSubMatrix(GG1, G3, kk1, nn1, 0, 0, kk4, nn4);
162 addSubMatrix(GG4, G3, nn4-kk4, nn4, kk4, 0, kk4+kk1, 0); // put the out-of-subspace vectors at the end
163 addSubMatrix(GG1, G3, nn1-kk1, nn1, kk1, 0, kk4+kk1+nn4-kk4, nn1);
164 //appendBlockMatrix(GGBar4, GGBar1, GBar4, nn4, nn4, nn1, nn1);
165 addSubMatrix(GGBar4, GBar3, kk4, nn4, 0, 0, 0, 0);
166 addSubMatrix(GGBar1, GBar3, kk1, nn1, 0, 0, kk4, nn4);
167 addSubMatrix(GGBar4, GBar3, nn4-kk4, nn4, kk4, 0, kk4+kk1, 0); // put the out-of-subspace vectors at the end
168 addSubMatrix(GGBar1, GBar3, nn1-kk1, nn1, kk1, 0, kk4+kk1+nn4-kk4, nn1);
169 appendVector(hh4, hh1, h3, nn4, nn1);
171 appendVector(DD4, DD1, D3, kk4, kk1);
172 appendBlockMatrix(JJ4, JJ1, J3, kk4, kk4, kk1, kk1);
175 int n4 = nn1+nn5; int k4 = kk1+kk5; int **G4; int **GBar4; int *h4; int Q4; int *D4; int **J4;
176 G4 = calloc(nn1+nn5,sizeof(int*));
177 GBar4 = calloc(nn1+nn5,sizeof(int*));
178 h4 = calloc(nn1+nn5,sizeof(int));
179 D4 = calloc(kk1+kk5,sizeof(int));
180 J4 = calloc(kk1+kk5,sizeof(int*));
181 for(i=0; i<nn1+nn5; i++) {
182 G4[i] = calloc(nn1+nn5, sizeof(int)); GBar4[i] = calloc(nn1+nn5, sizeof(int));
184 for(i=0; i<kk1+kk5; i++)
185 J4[i] = calloc(kk1+kk5, sizeof(int));
186 //appendBlockMatrix(GG5, GG1, G5, nn5, nn5, nn1, nn1);
187 addSubMatrix(GG5, G4, kk5, nn5, 0, 0, 0, 0);
188 addSubMatrix(GG1, G4, kk1, nn1, 0, 0, kk5, nn5);
189 addSubMatrix(GG5, G4, nn5-kk5, nn5, kk5, 0, kk5+kk1, 0); // put the out-of-subspace vectors at the end
190 addSubMatrix(GG1, G4, nn1-kk1, nn1, kk1, 0, kk5+kk1+nn5-kk5, nn1);
191 //appendBlockMatrix(GGBar5, GGBar1, GBar5, nn5, nn5, nn1, nn1);
192 addSubMatrix(GGBar5, GBar4, kk5, nn5, 0, 0, 0, 0);
193 addSubMatrix(GGBar1, GBar4, kk1, nn1, 0, 0, kk5, nn5);
194 addSubMatrix(GGBar5, GBar4, nn5-kk5, nn5, kk5, 0, kk5+kk1, 0); // put the out-of-subspace vectors at the end
195 addSubMatrix(GGBar1, GBar4, nn1-kk1, nn1, kk1, 0, kk5+kk1+nn5-kk5, nn1);
196 appendVector(hh5, hh1, h4, nn5, nn1);
198 appendVector(DD5, DD1, D4, kk5, kk1);
199 appendBlockMatrix(JJ5, JJ1, J4, kk5, kk5, kk1, kk1);
202 int n5 = nn1+nn6; int k5 = kk1+kk6; int **G5; int **GBar5; int *h5; int Q5; int *D5; int **J5;
203 G5 = calloc(nn1+nn6,sizeof(int*));
204 GBar5 = calloc(nn1+nn6,sizeof(int*));
205 h5 = calloc(nn1+nn6,sizeof(int));
206 D5 = calloc(kk1+kk6,sizeof(int));
207 J5 = calloc(kk1+kk6,sizeof(int*));
208 for(i=0; i<nn1+nn6; i++) {
209 G5[i] = calloc(nn1+nn6, sizeof(int)); GBar5[i] = calloc(nn1+nn6, sizeof(int));
211 for(i=0; i<kk1+kk6; i++)
212 J5[i] = calloc(kk1+kk6, sizeof(int));
213 //appendBlockMatrix(GG6, GG1, G6, nn6, nn6, nn1, nn1);
214 addSubMatrix(GG6, G5, kk6, nn6, 0, 0, 0, 0);
215 addSubMatrix(GG1, G5, kk1, nn1, 0, 0, kk6, nn6);
216 addSubMatrix(GG6, G5, nn6-kk6, nn6, kk6, 0, kk6+kk1, 0); // put the out-of-subspace vectors at the end
217 addSubMatrix(GG1, G5, nn1-kk1, nn1, kk1, 0, kk6+kk1+nn6-kk6, nn1);
218 //appendBlockMatrix(GGBar6, GGBar1, GBar6, nn6, nn6, nn1, nn1);
219 addSubMatrix(GGBar6, GBar5, kk6, nn6, 0, 0, 0, 0);
220 addSubMatrix(GGBar1, GBar5, kk1, nn1, 0, 0, kk6, nn6);
221 addSubMatrix(GGBar6, GBar5, nn6-kk6, nn6, kk6, 0, kk6+kk1, 0); // put the out-of-subspace vectors at the end
222 addSubMatrix(GGBar1, GBar5, nn1-kk1, nn1, kk1, 0, kk6+kk1+nn6-kk6, nn1);
223 appendVector(hh6, hh1, h5, nn6, nn1);
225 appendVector(DD6, DD1, D5, kk6, kk1);
226 appendBlockMatrix(JJ6, JJ1, J5, kk6, kk6, kk1, kk1);
229 int n6 = nn1+nn7; int k6 = kk1+kk7; int **G6; int **GBar6; int *h6; int Q6; int *D6; int **J6;
230 G6 = calloc(nn1+nn7,sizeof(int*));
231 GBar6 = calloc(nn1+nn7,sizeof(int*));
232 h6 = calloc(nn1+nn7,sizeof(int));
233 D6 = calloc(kk1+kk7,sizeof(int));
234 J6 = calloc(kk1+kk7,sizeof(int*));
235 for(i=0; i<nn1+nn7; i++) {
236 G6[i] = calloc(nn1+nn7, sizeof(int)); GBar6[i] = calloc(nn1+nn7, sizeof(int));
238 for(i=0; i<kk1+kk7; i++)
239 J6[i] = calloc(kk1+kk7, sizeof(int));
240 //appendBlockMatrix(GG7, GG1, G7, nn7, nn7, nn1, nn1);
241 addSubMatrix(GG7, G6, kk7, nn7, 0, 0, 0, 0);
242 addSubMatrix(GG1, G6, kk1, nn1, 0, 0, kk7, nn7);
243 addSubMatrix(GG7, G6, nn7-kk7, nn7, kk7, 0, kk7+kk1, 0); // put the out-of-subspace vectors at the end
244 addSubMatrix(GG1, G6, nn1-kk1, nn1, kk1, 0, kk7+kk1+nn7-kk7, nn1);
245 //appendBlockMatrix(GGBar7, GGBar1, GBar7, nn7, nn7, nn1, nn1);
246 addSubMatrix(GGBar7, GBar6, kk7, nn7, 0, 0, 0, 0);
247 addSubMatrix(GGBar1, GBar6, kk1, nn1, 0, 0, kk7, nn7);
248 addSubMatrix(GGBar7, GBar6, nn7-kk7, nn7, kk7, 0, kk7+kk1, 0); // put the out-of-subspace vectors at the end
249 addSubMatrix(GGBar1, GBar6, nn1-kk1, nn1, kk1, 0, kk7+kk1+nn7-kk7, nn1);
250 appendVector(hh7, hh1, h6, nn7, nn1);
252 appendVector(DD7, DD1, D6, kk7, kk1);
253 appendBlockMatrix(JJ7, JJ1, J6, kk7, kk7, kk1, kk1);
256 /*int n8 = nn2+nn1; int k8 = kk2+kk1; int **G8; int **GBar8; int *h8; int Q8; int *D8; int **J8;
257 G8 = calloc(nn2+nn1,sizeof(int*));
258 GBar8 = calloc(nn2+nn1,sizeof(int*));
259 h8 = calloc(nn2+nn1,sizeof(int));
260 D8 = calloc(kk2+kk1,sizeof(int));
261 J8 = calloc(kk2+kk1,sizeof(int*));
262 for(i=0; i<nn2+nn1; i++) {
263 G8[i] = calloc(nn2+nn1, sizeof(int)); GBar8[i] = calloc(nn2+nn1, sizeof(int));
265 for(i=0; i<kk2+kk1; i++)
266 J8[i] = calloc(kk2+kk1, sizeof(int));
267 //appendBlockMatrix(GG1, GG2, G8, nn1, nn1, nn2, nn2);
268 addSubMatrix(GG1, G8, kk1, nn1, 0, 0, 0, 0);
269 addSubMatrix(GG2, G8, kk2, nn2, 0, 0, kk1, nn1);
270 addSubMatrix(GG1, G8, nn1-kk1, nn1, kk1, 0, kk1+kk2, 0); // put the out-of-subspace vectors at the end
271 addSubMatrix(GG2, G8, nn2-kk2, nn2, kk2, 0, kk1+kk2+nn1-kk1, nn2);
272 //appendBlockMatrix(GGBar1, GGBar2, GBar8, nn1, nn1, nn2, nn2);
273 addSubMatrix(GGBar1, GBar8, kk1, nn1, 0, 0, 0, 0);
274 addSubMatrix(GGBar2, GBar8, kk2, nn2, 0, 0, kk1, nn1);
275 addSubMatrix(GGBar1, GBar8, nn1-kk1, nn1, kk1, 0, kk1+kk2, 0); // put the out-of-subspace vectors at the end
276 addSubMatrix(GGBar2, GBar8, nn2-kk2, nn2, kk2, 0, kk1+kk2+nn1-kk1, nn2);
277 appendVector(hh1, hh2, h8, nn1, nn2);
279 appendVector(DD1, DD2, D8, kk1, kk2);
280 appendBlockMatrix(JJ1, JJ2, J8, kk1, kk1, kk2, kk2);*/
283 int n7 = nn2+nn2; int k7 = kk2+kk2; int **G7; int **GBar7; int *h7; int Q7; int *D7; int **J7;
284 G7 = calloc(nn2+nn2,sizeof(int*));
285 GBar7 = calloc(nn2+nn2,sizeof(int*));
286 h7 = calloc(nn2+nn2,sizeof(int));
287 D7 = calloc(kk2+kk2,sizeof(int));
288 J7 = calloc(kk2+kk2,sizeof(int*));
289 for(i=0; i<nn2+nn2; i++) {
290 G7[i] = calloc(nn2+nn2, sizeof(int)); GBar7[i] = calloc(nn2+nn2, sizeof(int));
292 for(i=0; i<kk2+kk2; i++)
293 J7[i] = calloc(kk2+kk2, sizeof(int));
294 //appendBlockMatrix(GG2, GG2, G9, nn2, nn2, nn2, nn2);
295 addSubMatrix(GG2, G7, kk2, nn2, 0, 0, 0, 0);
296 addSubMatrix(GG2, G7, kk2, nn2, 0, 0, kk2, nn2);
297 addSubMatrix(GG2, G7, nn2-kk2, nn2, kk2, 0, kk2+kk2, 0); // put the out-of-subspace vectors at the end
298 addSubMatrix(GG2, G7, nn2-kk2, nn2, kk2, 0, kk2+kk2+nn2-kk2, nn2);
299 //appendBlockMatrix(GGBar2, GGBar2, GBar9, nn2, nn2, nn2, nn2);
300 addSubMatrix(GGBar2, GBar7, kk2, nn2, 0, 0, 0, 0);
301 addSubMatrix(GGBar2, GBar7, kk2, nn2, 0, 0, kk2, nn2);
302 addSubMatrix(GGBar2, GBar7, nn2-kk2, nn2, kk2, 0, kk2+kk2, 0); // put the out-of-subspace vectors at the end
303 addSubMatrix(GGBar2, GBar7, nn2-kk2, nn2, kk2, 0, kk2+kk2+nn2-kk2, nn2);
304 appendVector(hh2, hh2, h7, nn2, nn2);
306 appendVector(DD2, DD2, D7, kk2, kk2);
307 appendBlockMatrix(JJ2, JJ2, J7, kk2, kk2, kk2, kk2);
310 int n8 = nn2+nn3; int k8 = kk2+kk3; int **G8; int **GBar8; int *h8; int Q8; int *D8; int **J8;
311 G8 = calloc(nn2+nn3,sizeof(int*));
312 GBar8 = calloc(nn2+nn3,sizeof(int*));
313 h8 = calloc(nn2+nn3,sizeof(int));
314 D8 = calloc(kk2+kk3,sizeof(int));
315 J8 = calloc(kk2+kk3,sizeof(int*));
316 for(i=0; i<nn2+nn3; i++) {
317 G8[i] = calloc(nn2+nn3, sizeof(int)); GBar8[i] = calloc(nn2+nn3, sizeof(int));
319 for(i=0; i<kk2+kk3; i++)
320 J8[i] = calloc(kk2+kk3, sizeof(int));
321 //appendBlockMatrix(GG3, GG2, G10, nn3, nn3, nn2, nn2);
322 addSubMatrix(GG3, G8, kk3, nn3, 0, 0, 0, 0);
323 addSubMatrix(GG2, G8, kk2, nn2, 0, 0, kk3, nn3);
324 addSubMatrix(GG3, G8, nn3-kk3, nn3, kk3, 0, kk3+kk2, 0); // put the out-of-subspace vectors at the end
325 addSubMatrix(GG2, G8, nn2-kk2, nn2, kk2, 0, kk3+kk2+nn3-kk3, nn2);
326 //appendBlockMatrix(GGBar3, GGBar2, GBar10, nn3, nn3, nn2, nn2);
327 addSubMatrix(GGBar3, GBar8, kk3, nn3, 0, 0, 0, 0);
328 addSubMatrix(GGBar2, GBar8, kk2, nn2, 0, 0, kk3, nn3);
329 addSubMatrix(GGBar3, GBar8, nn3-kk3, nn3, kk3, 0, kk3+kk2, 0); // put the out-of-subspace vectors at the end
330 addSubMatrix(GGBar2, GBar8, nn2-kk2, nn2, kk2, 0, kk3+kk2+nn3-kk3, nn2);
331 appendVector(hh3, hh2, h8, nn3, nn2);
333 appendVector(DD3, DD2, D8, kk3, kk2);
334 appendBlockMatrix(JJ3, JJ2, J8, kk3, kk3, kk2, kk2);
337 int n9 = nn2+nn4; int k9 = kk2+kk4; int **G9; int **GBar9; int *h9; int Q9; int *D9; int **J9;
338 G9 = calloc(nn2+nn4,sizeof(int*));
339 GBar9 = calloc(nn2+nn4,sizeof(int*));
340 h9 = calloc(nn2+nn4,sizeof(int));
341 D9 = calloc(kk2+kk4,sizeof(int));
342 J9 = calloc(kk2+kk4,sizeof(int*));
343 for(i=0; i<nn2+nn4; i++) {
344 G9[i] = calloc(nn2+nn4, sizeof(int)); GBar9[i] = calloc(nn2+nn4, sizeof(int));
346 for(i=0; i<kk2+kk4; i++)
347 J9[i] = calloc(kk2+kk4, sizeof(int));
348 //appendBlockMatrix(GG4, GG2, G11, nn4, nn4, nn2, nn2);
349 addSubMatrix(GG4, G9, kk4, nn4, 0, 0, 0, 0);
350 addSubMatrix(GG2, G9, kk2, nn2, 0, 0, kk4, nn4);
351 addSubMatrix(GG4, G9, nn4-kk4, nn4, kk4, 0, kk4+kk2, 0); // put the out-of-subspace vectors at the end
352 addSubMatrix(GG2, G9, nn2-kk2, nn2, kk2, 0, kk4+kk2+nn4-kk4, nn2);
353 //appendBlockMatrix(GGBar4, GGBar2, GBar11, nn4, nn4, nn2, nn2);
354 addSubMatrix(GGBar4, GBar9, kk4, nn4, 0, 0, 0, 0);
355 addSubMatrix(GGBar2, GBar9, kk2, nn2, 0, 0, kk4, nn4);
356 addSubMatrix(GGBar4, GBar9, nn4-kk4, nn4, kk4, 0, kk4+kk2, 0); // put the out-of-subspace vectors at the end
357 addSubMatrix(GGBar2, GBar9, nn2-kk2, nn2, kk2, 0, kk4+kk2+nn4-kk4, nn2);
358 appendVector(hh4, hh2, h9, nn4, nn2);
360 appendVector(DD4, DD2, D9, kk4, kk2);
361 appendBlockMatrix(JJ4, JJ2, J9, kk4, kk4, kk2, kk2);
364 int n10 = nn2+nn5; int k10 = kk2+kk5; int **G10; int **GBar10; int *h10; int Q10; int *D10; int **J10;
365 G10 = calloc(nn2+nn5,sizeof(int*));
366 GBar10 = calloc(nn2+nn5,sizeof(int*));
367 h10 = calloc(nn2+nn5,sizeof(int));
368 D10 = calloc(kk2+kk5,sizeof(int));
369 J10 = calloc(kk2+kk5,sizeof(int*));
370 for(i=0; i<nn2+nn5; i++) {
371 G10[i] = calloc(nn2+nn5, sizeof(int)); GBar10[i] = calloc(nn2+nn5, sizeof(int));
373 for(i=0; i<kk2+kk5; i++)
374 J10[i] = calloc(kk2+kk5, sizeof(int));
375 //appendBlockMatrix(GG5, GG2, G12, nn5, nn5, nn2, nn2);
376 addSubMatrix(GG5, G10, kk5, nn5, 0, 0, 0, 0);
377 addSubMatrix(GG2, G10, kk2, nn2, 0, 0, kk5, nn5);
378 addSubMatrix(GG5, G10, nn5-kk5, nn5, kk5, 0, kk5+kk2, 0); // put the out-of-subspace vectors at the end
379 addSubMatrix(GG2, G10, nn2-kk2, nn2, kk2, 0, kk5+kk2+nn5-kk5, nn2);
380 //appendBlockMatrix(GGBar5, GGBar2, GBar12, nn5, nn5, nn2, nn2);
381 addSubMatrix(GGBar5, GBar10, kk5, nn5, 0, 0, 0, 0);
382 addSubMatrix(GGBar2, GBar10, kk2, nn2, 0, 0, kk5, nn5);
383 addSubMatrix(GGBar5, GBar10, nn5-kk5, nn5, kk5, 0, kk5+kk2, 0); // put the out-of-subspace vectors at the end
384 addSubMatrix(GGBar2, GBar10, nn2-kk2, nn2, kk2, 0, kk5+kk2+nn5-kk5, nn2);
385 appendVector(hh5, hh2, h10, nn5, nn2);
387 appendVector(DD5, DD2, D10, kk5, kk2);
388 appendBlockMatrix(JJ5, JJ2, J10, kk5, kk5, kk2, kk2);
391 int n11 = nn2+nn6; int k11 = kk2+kk6; int **G11; int **GBar11; int *h11; int Q11; int *D11; int **J11;
392 G11 = calloc(nn2+nn6,sizeof(int*));
393 GBar11 = calloc(nn2+nn6,sizeof(int*));
394 h11 = calloc(nn2+nn6,sizeof(int));
395 D11 = calloc(kk2+kk6,sizeof(int));
396 J11 = calloc(kk2+kk6,sizeof(int*));
397 for(i=0; i<nn2+nn6; i++) {
398 G11[i] = calloc(nn2+nn6, sizeof(int)); GBar11[i] = calloc(nn2+nn6, sizeof(int));
400 for(i=0; i<kk2+kk6; i++)
401 J11[i] = calloc(kk2+kk6, sizeof(int));
402 //appendBlockMatrix(GG6, GG2, G13, nn6, nn6, nn2, nn2);
403 addSubMatrix(GG6, G11, kk6, nn6, 0, 0, 0, 0);
404 addSubMatrix(GG2, G11, kk2, nn2, 0, 0, kk6, nn6);
405 addSubMatrix(GG6, G11, nn6-kk6, nn6, kk6, 0, kk6+kk2, 0); // put the out-of-subspace vectors at the end
406 addSubMatrix(GG2, G11, nn2-kk2, nn2, kk2, 0, kk6+kk2+nn6-kk6, nn2);
407 //appendBlockMatrix(GGBar6, GGBar2, GBar13, nn6, nn6, nn2, nn2);
408 addSubMatrix(GGBar6, GBar11, kk6, nn6, 0, 0, 0, 0);
409 addSubMatrix(GGBar2, GBar11, kk2, nn2, 0, 0, kk6, nn6);
410 addSubMatrix(GGBar6, GBar11, nn6-kk6, nn6, kk6, 0, kk6+kk2, 0); // put the out-of-subspace vectors at the end
411 addSubMatrix(GGBar2, GBar11, nn2-kk2, nn2, kk2, 0, kk6+kk2+nn6-kk6, nn2);
412 appendVector(hh6, hh2, h11, nn6, nn2);
414 appendVector(DD6, DD2, D11, kk6, kk2);
415 appendBlockMatrix(JJ6, JJ2, J11, kk6, kk6, kk2, kk2);
418 int n12 = nn2+nn7; int k12 = kk2+kk7; int **G12; int **GBar12; int *h12; int Q12; int *D12; int **J12;
419 G12 = calloc(nn2+nn7,sizeof(int*));
420 GBar12 = calloc(nn2+nn7,sizeof(int*));
421 h12 = calloc(nn2+nn7,sizeof(int));
422 D12 = calloc(kk2+kk7,sizeof(int));
423 J12 = calloc(kk2+kk7,sizeof(int*));
424 for(i=0; i<nn2+nn7; i++) {
425 G12[i] = calloc(nn2+nn7, sizeof(int)); GBar12[i] = calloc(nn2+nn7, sizeof(int));
427 for(i=0; i<kk2+kk7; i++)
428 J12[i] = calloc(kk2+kk7, sizeof(int));
429 //appendBlockMatrix(GG7, GG2, G14, nn7, nn7, nn2, nn2);
430 addSubMatrix(GG7, G12, kk7, nn7, 0, 0, 0, 0);
431 addSubMatrix(GG2, G12, kk2, nn2, 0, 0, kk7, nn7);
432 addSubMatrix(GG7, G12, nn7-kk7, nn7, kk7, 0, kk7+kk2, 0); // put the out-of-subspace vectors at the end
433 addSubMatrix(GG2, G12, nn2-kk2, nn2, kk2, 0, kk7+kk2+nn7-kk7, nn2);
434 //appendBlockMatrix(GGBar7, GGBar2, GBar14, nn7, nn7, nn2, nn2);
435 addSubMatrix(GGBar7, GBar12, kk7, nn7, 0, 0, 0, 0);
436 addSubMatrix(GGBar2, GBar12, kk2, nn2, 0, 0, kk7, nn7);
437 addSubMatrix(GGBar7, GBar12, nn7-kk7, nn7, kk7, 0, kk7+kk2, 0); // put the out-of-subspace vectors at the end
438 addSubMatrix(GGBar2, GBar12, nn2-kk2, nn2, kk2, 0, kk7+kk2+nn7-kk7, nn2);
439 appendVector(hh7, hh2, h12, nn7, nn2);
441 appendVector(DD7, DD2, D12, kk7, kk2);
442 appendBlockMatrix(JJ7, JJ2, J12, kk7, kk7, kk2, kk2);
445 int n13 = nn3+nn1; int k13 = kk3+kk1; int **G13; int **GBar13; int *h13; int Q13; int *D13; int **J13;
446 G13 = calloc(nn3+nn1,sizeof(int*));
447 GBar13 = calloc(nn3+nn1,sizeof(int*));
448 h13 = calloc(nn3+nn1,sizeof(int));
449 D13 = calloc(kk3+kk1,sizeof(int));
450 J13 = calloc(kk3+kk1,sizeof(int*));
451 for(i=0; i<nn3+nn1; i++) {
452 G13[i] = calloc(nn3+nn1, sizeof(int)); GBar13[i] = calloc(nn3+nn1, sizeof(int));
454 for(i=0; i<kk3+kk1; i++)
455 J13[i] = calloc(kk3+kk1, sizeof(int));
456 //appendBlockMatrix(GG1, GG3, G15, nn1, nn1, nn3, nn3);
457 addSubMatrix(GG1, G13, kk1, nn1, 0, 0, 0, 0);
458 addSubMatrix(GG3, G13, kk3, nn3, 0, 0, kk1, nn1);
459 addSubMatrix(GG1, G13, nn1-kk1, nn1, kk1, 0, kk1+kk3, 0); // put the out-of-subspace vectors at the end
460 addSubMatrix(GG3, G13, nn3-kk3, nn3, kk3, 0, kk1+kk3+nn1-kk1, nn3);
461 //appendBlockMatrix(GGBar1, GGBar3, GBar15, nn1, nn1, nn3, nn3);
462 addSubMatrix(GGBar1, GBar13, kk1, nn1, 0, 0, 0, 0);
463 addSubMatrix(GGBar3, GBar13, kk3, nn3, 0, 0, kk1, nn1);
464 addSubMatrix(GGBar1, GBar13, nn1-kk1, nn1, kk1, 0, kk1+kk3, 0); // put the out-of-subspace vectors at the end
465 addSubMatrix(GGBar3, GBar13, nn3-kk3, nn3, kk3, 0, kk1+kk3+nn1-kk1, nn3);
466 appendVector(hh1, hh3, h13, nn1, nn3);
468 appendVector(DD1, DD3, D13, kk1, kk3);
469 appendBlockMatrix(JJ1, JJ3, J13, kk1, kk1, kk3, kk3);
472 int n14 = nn3+nn2; int k14 = kk3+kk2; int **G14; int **GBar14; int *h14; int Q14; int *D14; int **J14;
473 G14 = calloc(nn3+nn2,sizeof(int*));
474 GBar14 = calloc(nn3+nn2,sizeof(int*));
475 h14 = calloc(nn3+nn2,sizeof(int));
476 D14 = calloc(kk3+kk2,sizeof(int));
477 J14 = calloc(kk3+kk2,sizeof(int*));
478 for(i=0; i<nn3+nn2; i++) {
479 G14[i] = calloc(nn3+nn2, sizeof(int)); GBar14[i] = calloc(nn3+nn2, sizeof(int));
481 for(i=0; i<kk3+kk2; i++)
482 J14[i] = calloc(kk3+kk2, sizeof(int));
483 //appendBlockMatrix(GG2, GG3, G16, nn2, nn2, nn3, nn3);
484 addSubMatrix(GG2, G14, kk2, nn2, 0, 0, 0, 0);
485 addSubMatrix(GG3, G14, kk3, nn3, 0, 0, kk2, nn2);
486 addSubMatrix(GG2, G14, nn2-kk2, nn2, kk2, 0, kk2+kk3, 0); // put the out-of-subspace vectors at the end
487 addSubMatrix(GG3, G14, nn3-kk3, nn3, kk3, 0, kk2+kk3+nn2-kk2, nn3);
488 //appendBlockMatrix(GGBar2, GGBar3, GBar16, nn2, nn2, nn3, nn3);
489 addSubMatrix(GGBar2, GBar14, kk2, nn2, 0, 0, 0, 0);
490 addSubMatrix(GGBar3, GBar14, kk3, nn3, 0, 0, kk2, nn2);
491 addSubMatrix(GGBar2, GBar14, nn2-kk2, nn2, kk2, 0, kk2+kk3, 0); // put the out-of-subspace vectors at the end
492 addSubMatrix(GGBar3, GBar14, nn3-kk3, nn3, kk3, 0, kk2+kk3+nn2-kk2, nn3);
493 appendVector(hh2, hh3, h14, nn2, nn3);
495 appendVector(DD2, DD3, D14, kk2, kk3);
496 appendBlockMatrix(JJ2, JJ3, J14, kk2, kk2, kk3, kk3);
499 int n15 = nn3+nn3; int k15 = kk3+kk3; int **G15; int **GBar15; int *h15; int Q15; int *D15; int **J15;
500 G15 = calloc(nn3+nn3,sizeof(int*));
501 GBar15 = calloc(nn3+nn3,sizeof(int*));
502 h15 = calloc(nn3+nn3,sizeof(int));
503 D15 = calloc(kk3+kk3,sizeof(int));
504 J15 = calloc(kk3+kk3,sizeof(int*));
505 for(i=0; i<nn3+nn3; i++) {
506 G15[i] = calloc(nn3+nn3, sizeof(int)); GBar15[i] = calloc(nn3+nn3, sizeof(int));
508 for(i=0; i<kk3+kk3; i++)
509 J15[i] = calloc(kk3+kk3, sizeof(int));
510 //appendBlockMatrix(GG3, GG3, G17, nn3, nn3, nn3, nn3);
511 addSubMatrix(GG3, G15, kk3, nn3, 0, 0, 0, 0);
512 addSubMatrix(GG3, G15, kk3, nn3, 0, 0, kk3, nn3);
513 addSubMatrix(GG3, G15, nn3-kk3, nn3, kk3, 0, kk3+kk3, 0); // put the out-of-subspace vectors at the end
514 addSubMatrix(GG3, G15, nn3-kk3, nn3, kk3, 0, kk3+kk3+nn3-kk3, nn3);
515 //appendBlockMatrix(GGBar3, GGBar3, GBar17, nn3, nn3, nn3, nn3);
516 addSubMatrix(GGBar3, GBar15, kk3, nn3, 0, 0, 0, 0);
517 addSubMatrix(GGBar3, GBar15, kk3, nn3, 0, 0, kk3, nn3);
518 addSubMatrix(GGBar3, GBar15, nn3-kk3, nn3, kk3, 0, kk3+kk3, 0); // put the out-of-subspace vectors at the end
519 addSubMatrix(GGBar3, GBar15, nn3-kk3, nn3, kk3, 0, kk3+kk3+nn3-kk3, nn3);
520 appendVector(hh3, hh3, h15, nn3, nn3);
522 appendVector(DD3, DD3, D15, kk3, kk3);
523 appendBlockMatrix(JJ3, JJ3, J15, kk3, kk3, kk3, kk3);
526 /*int n18 = nn3+nn4; int k18 = kk3+kk4; int **G18; int **GBar18; int *h18; int Q18; int *D18; int **J18;
527 G18 = calloc(nn3+nn4,sizeof(int*));
528 GBar18 = calloc(nn3+nn4,sizeof(int*));
529 h18 = calloc(nn3+nn4,sizeof(int));
530 D18 = calloc(kk3+kk4,sizeof(int));
531 J18 = calloc(kk3+kk4,sizeof(int*));
532 for(i=0; i<nn3+nn4; i++) {
533 G18[i] = calloc(nn3+nn4, sizeof(int)); GBar18[i] = calloc(nn3+nn4, sizeof(int));
535 for(i=0; i<kk3+kk4; i++)
536 J18[i] = calloc(kk3+kk4, sizeof(int));
537 //appendBlockMatrix(GG4, GG3, G18, nn4, nn4, nn3, nn3);
538 addSubMatrix(GG4, G18, kk4, nn4, 0, 0, 0, 0);
539 addSubMatrix(GG3, G18, kk3, nn3, 0, 0, kk4, nn4);
540 addSubMatrix(GG4, G18, nn4-kk4, nn4, kk4, 0, kk4+kk3, 0); // put the out-of-subspace vectors at the end
541 addSubMatrix(GG3, G18, nn3-kk3, nn3, kk3, 0, kk4+kk3+nn4-kk4, nn3);
542 //appendBlockMatrix(GGBar4, GGBar3, GBar18, nn4, nn4, nn3, nn3);
543 addSubMatrix(GGBar4, GBar18, kk4, nn4, 0, 0, 0, 0);
544 addSubMatrix(GGBar3, GBar18, kk3, nn3, 0, 0, kk4, nn4);
545 addSubMatrix(GGBar4, GBar18, nn4-kk4, nn4, kk4, 0, kk4+kk3, 0); // put the out-of-subspace vectors at the end
546 addSubMatrix(GGBar3, GBar18, nn3-kk3, nn3, kk3, 0, kk4+kk3+nn4-kk4, nn3);
547 appendVector(hh4, hh3, h18, nn4, nn3);
549 appendVector(DD4, DD3, D18, kk4, kk3);
550 appendBlockMatrix(JJ4, JJ3, J18, kk4, kk4, kk3, kk3);*/
553 int n16 = nn3+nn5; int k16 = kk3+kk5; int **G16; int **GBar16; int *h16; int Q16; int *D16; int **J16;
554 G16 = calloc(nn3+nn5,sizeof(int*));
555 GBar16 = calloc(nn3+nn5,sizeof(int*));
556 h16 = calloc(nn3+nn5,sizeof(int));
557 D16 = calloc(kk3+kk5,sizeof(int));
558 J16 = calloc(kk3+kk5,sizeof(int*));
559 for(i=0; i<nn3+nn5; i++) {
560 G16[i] = calloc(nn3+nn5, sizeof(int)); GBar16[i] = calloc(nn3+nn5, sizeof(int));
562 for(i=0; i<kk3+kk5; i++)
563 J16[i] = calloc(kk3+kk5, sizeof(int));
564 //appendBlockMatrix(GG5, GG3, G19, nn5, nn5, nn3, nn3);
565 addSubMatrix(GG5, G16, kk5, nn5, 0, 0, 0, 0);
566 addSubMatrix(GG3, G16, kk3, nn3, 0, 0, kk5, nn5);
567 addSubMatrix(GG5, G16, nn5-kk5, nn5, kk5, 0, kk5+kk3, 0); // put the out-of-subspace vectors at the end
568 addSubMatrix(GG3, G16, nn3-kk3, nn3, kk3, 0, kk5+kk3+nn5-kk5, nn3);
569 //appendBlockMatrix(GGBar5, GGBar3, GBar19, nn5, nn5, nn3, nn3);
570 addSubMatrix(GGBar5, GBar16, kk5, nn5, 0, 0, 0, 0);
571 addSubMatrix(GGBar3, GBar16, kk3, nn3, 0, 0, kk5, nn5);
572 addSubMatrix(GGBar5, GBar16, nn5-kk5, nn5, kk5, 0, kk5+kk3, 0); // put the out-of-subspace vectors at the end
573 addSubMatrix(GGBar3, GBar16, nn3-kk3, nn3, kk3, 0, kk5+kk3+nn5-kk5, nn3);
574 appendVector(hh5, hh3, h16, nn5, nn3);
576 appendVector(DD5, DD3, D16, kk5, kk3);
577 appendBlockMatrix(JJ5, JJ3, J16, kk5, kk5, kk3, kk3);
580 int n17 = nn3+nn6; int k17 = kk3+kk6; int **G17; int **GBar17; int *h17; int Q17; int *D17; int **J17;
581 G17 = calloc(nn3+nn6,sizeof(int*));
582 GBar17 = calloc(nn3+nn6,sizeof(int*));
583 h17 = calloc(nn3+nn6,sizeof(int));
584 D17 = calloc(kk3+kk6,sizeof(int));
585 J17 = calloc(kk3+kk6,sizeof(int*));
586 for(i=0; i<nn3+nn6; i++) {
587 G17[i] = calloc(nn3+nn6, sizeof(int)); GBar17[i] = calloc(nn3+nn6, sizeof(int));
589 for(i=0; i<kk3+kk6; i++)
590 J17[i] = calloc(kk3+kk6, sizeof(int));
591 //appendBlockMatrix(GG6, GG3, G20, nn6, nn6, nn3, nn3);
592 addSubMatrix(GG6, G17, kk6, nn6, 0, 0, 0, 0);
593 addSubMatrix(GG3, G17, kk3, nn3, 0, 0, kk6, nn6);
594 addSubMatrix(GG6, G17, nn6-kk6, nn6, kk6, 0, kk6+kk3, 0); // put the out-of-subspace vectors at the end
595 addSubMatrix(GG3, G17, nn3-kk3, nn3, kk3, 0, kk6+kk3+nn6-kk6, nn3);
596 //appendBlockMatrix(GGBar6, GGBar3, GBar20, nn6, nn6, nn3, nn3);
597 addSubMatrix(GGBar6, GBar17, kk6, nn6, 0, 0, 0, 0);
598 addSubMatrix(GGBar3, GBar17, kk3, nn3, 0, 0, kk6, nn6);
599 addSubMatrix(GGBar6, GBar17, nn6-kk6, nn6, kk6, 0, kk6+kk3, 0); // put the out-of-subspace vectors at the end
600 addSubMatrix(GGBar3, GBar17, nn3-kk3, nn3, kk3, 0, kk6+kk3+nn6-kk6, nn3);
601 appendVector(hh6, hh3, h17, nn6, nn3);
603 appendVector(DD6, DD3, D17, kk6, kk3);
604 appendBlockMatrix(JJ6, JJ3, J17, kk6, kk6, kk3, kk3);
607 int n18 = nn3+nn7; int k18 = kk3+kk7; int **G18; int **GBar18; int *h18; int Q18; int *D18; int **J18;
608 G18 = calloc(nn3+nn7,sizeof(int*));
609 GBar18 = calloc(nn3+nn7,sizeof(int*));
610 h18 = calloc(nn3+nn7,sizeof(int));
611 D18 = calloc(kk3+kk7,sizeof(int));
612 J18 = calloc(kk3+kk7,sizeof(int*));
613 for(i=0; i<nn3+nn7; i++) {
614 G18[i] = calloc(nn3+nn7, sizeof(int)); GBar18[i] = calloc(nn3+nn7, sizeof(int));
616 for(i=0; i<kk3+kk7; i++)
617 J18[i] = calloc(kk3+kk7, sizeof(int));
618 //appendBlockMatrix(GG7, GG3, G21, nn7, nn7, nn3, nn3);
619 addSubMatrix(GG7, G18, kk7, nn7, 0, 0, 0, 0);
620 addSubMatrix(GG3, G18, kk3, nn3, 0, 0, kk7, nn7);
621 addSubMatrix(GG7, G18, nn7-kk7, nn7, kk7, 0, kk7+kk3, 0); // put the out-of-subspace vectors at the end
622 addSubMatrix(GG3, G18, nn3-kk3, nn3, kk3, 0, kk7+kk3+nn7-kk7, nn3);
623 //appendBlockMatrix(GGBar7, GGBar3, GBar21, nn7, nn7, nn3, nn3);
624 addSubMatrix(GGBar7, GBar18, kk7, nn7, 0, 0, 0, 0);
625 addSubMatrix(GGBar3, GBar18, kk3, nn3, 0, 0, kk7, nn7);
626 addSubMatrix(GGBar7, GBar18, nn7-kk7, nn7, kk7, 0, kk7+kk3, 0); // put the out-of-subspace vectors at the end
627 addSubMatrix(GGBar3, GBar18, nn3-kk3, nn3, kk3, 0, kk7+kk3+nn7-kk7, nn3);
628 appendVector(hh7, hh3, h18, nn7, nn3);
630 appendVector(DD7, DD3, D18, kk7, kk3);
631 appendBlockMatrix(JJ7, JJ3, J18, kk7, kk7, kk3, kk3);
634 int n19 = nn4+nn1; int k19 = kk4+kk1; int **G19; int **GBar19; int *h19; int Q19; int *D19; int **J19;
635 G19 = calloc(nn4+nn1,sizeof(int*));
636 GBar19 = calloc(nn4+nn1,sizeof(int*));
637 h19 = calloc(nn4+nn1,sizeof(int));
638 D19 = calloc(kk4+kk1,sizeof(int));
639 J19 = calloc(kk4+kk1,sizeof(int*));
640 for(i=0; i<nn4+nn1; i++) {
641 G19[i] = calloc(nn4+nn1, sizeof(int)); GBar19[i] = calloc(nn4+nn1, sizeof(int));
643 for(i=0; i<kk4+kk1; i++)
644 J19[i] = calloc(kk4+kk1, sizeof(int));
645 //appendBlockMatrix(GG1, GG4, G22, nn1, nn1, nn4, nn4);
646 addSubMatrix(GG1, G19, kk1, nn1, 0, 0, 0, 0);
647 addSubMatrix(GG4, G19, kk4, nn4, 0, 0, kk1, nn1);
648 addSubMatrix(GG1, G19, nn1-kk1, nn1, kk1, 0, kk1+kk4, 0); // put the out-of-subspace vectors at the end
649 addSubMatrix(GG4, G19, nn4-kk4, nn4, kk4, 0, kk1+kk4+nn1-kk1, nn4);
650 //appendBlockMatrix(GGBar1, GGBar4, GBar22, nn1, nn1, nn4, nn4);
651 addSubMatrix(GGBar1, GBar19, kk1, nn1, 0, 0, 0, 0);
652 addSubMatrix(GGBar4, GBar19, kk4, nn4, 0, 0, kk1, nn1);
653 addSubMatrix(GGBar1, GBar19, nn1-kk1, nn1, kk1, 0, kk1+kk4, 0); // put the out-of-subspace vectors at the end
654 addSubMatrix(GGBar4, GBar19, nn4-kk4, nn4, kk4, 0, kk1+kk4+nn1-kk1, nn4);
655 appendVector(hh1, hh4, h19, nn1, nn4);
657 appendVector(DD1, DD4, D19, kk1, kk4);
658 appendBlockMatrix(JJ1, JJ4, J19, kk1, kk1, kk4, kk4);
661 int n20 = nn4+nn2; int k20 = kk4+kk2; int **G20; int **GBar20; int *h20; int Q20; int *D20; int **J20;
662 G20 = calloc(nn4+nn2,sizeof(int*));
663 GBar20 = calloc(nn4+nn2,sizeof(int*));
664 h20 = calloc(nn4+nn2,sizeof(int));
665 D20 = calloc(kk4+kk2,sizeof(int));
666 J20 = calloc(kk4+kk2,sizeof(int*));
667 for(i=0; i<nn4+nn2; i++) {
668 G20[i] = calloc(nn4+nn2, sizeof(int)); GBar20[i] = calloc(nn4+nn2, sizeof(int));
670 for(i=0; i<kk4+kk2; i++)
671 J20[i] = calloc(kk4+kk2, sizeof(int));
672 //appendBlockMatrix(GG2, GG4, G23, nn2, nn2, nn4, nn4);
673 addSubMatrix(GG2, G20, kk2, nn2, 0, 0, 0, 0);
674 addSubMatrix(GG4, G20, kk4, nn4, 0, 0, kk2, nn2);
675 addSubMatrix(GG2, G20, nn2-kk2, nn2, kk2, 0, kk2+kk4, 0); // put the out-of-subspace vectors at the end
676 addSubMatrix(GG4, G20, nn4-kk4, nn4, kk4, 0, kk2+kk4+nn2-kk2, nn4);
677 //appendBlockMatrix(GGBar2, GGBar4, GBar23, nn2, nn2, nn4, nn4);
678 addSubMatrix(GGBar2, GBar20, kk2, nn2, 0, 0, 0, 0);
679 addSubMatrix(GGBar4, GBar20, kk4, nn4, 0, 0, kk2, nn2);
680 addSubMatrix(GGBar2, GBar20, nn2-kk2, nn2, kk2, 0, kk2+kk4, 0); // put the out-of-subspace vectors at the end
681 addSubMatrix(GGBar4, GBar20, nn4-kk4, nn4, kk4, 0, kk2+kk4+nn2-kk2, nn4);
682 appendVector(hh2, hh4, h20, nn2, nn4);
684 appendVector(DD2, DD4, D20, kk2, kk4);
685 appendBlockMatrix(JJ2, JJ4, J20, kk2, kk2, kk4, kk4);
688 /*int n24 = nn4+nn3; int k24 = kk4+kk3; int **G24; int **GBar24; int *h24; int Q24; int *D24; int **J24;
689 G24 = calloc(nn4+nn3,sizeof(int*));
690 GBar24 = calloc(nn4+nn3,sizeof(int*));
691 h24 = calloc(nn4+nn3,sizeof(int));
692 D24 = calloc(kk4+kk3,sizeof(int));
693 J24 = calloc(kk4+kk3,sizeof(int*));
694 for(i=0; i<nn4+nn3; i++) {
695 G24[i] = calloc(nn4+nn3, sizeof(int)); GBar24[i] = calloc(nn4+nn3, sizeof(int));
697 for(i=0; i<kk4+kk3; i++)
698 J24[i] = calloc(kk4+kk3, sizeof(int));
699 //appendBlockMatrix(GG3, GG4, G24, nn3, nn3, nn4, nn4);
700 addSubMatrix(GG3, G24, kk3, nn3, 0, 0, 0, 0);
701 addSubMatrix(GG4, G24, kk4, nn4, 0, 0, kk3, nn3);
702 addSubMatrix(GG3, G24, nn3-kk3, nn3, kk3, 0, kk3+kk4, 0); // put the out-of-subspace vectors at the end
703 addSubMatrix(GG4, G24, nn4-kk4, nn4, kk4, 0, kk3+kk4+nn3-kk3, nn4);
704 //appendBlockMatrix(GGBar3, GGBar4, GBar24, nn3, nn3, nn4, nn4);
705 addSubMatrix(GGBar3, GBar24, kk3, nn3, 0, 0, 0, 0);
706 addSubMatrix(GGBar4, GBar24, kk4, nn4, 0, 0, kk3, nn3);
707 addSubMatrix(GGBar3, GBar24, nn3-kk3, nn3, kk3, 0, kk3+kk4, 0); // put the out-of-subspace vectors at the end
708 addSubMatrix(GGBar4, GBar24, nn4-kk4, nn4, kk4, 0, kk3+kk4+nn3-kk3, nn4);
709 appendVector(hh3, hh4, h24, nn3, nn4);
711 appendVector(DD3, DD4, D24, kk3, kk4);
712 appendBlockMatrix(JJ3, JJ4, J24, kk3, kk3, kk4, kk4);*/
715 int n21 = nn4+nn4; int k21 = kk4+kk4; int **G21; int **GBar21; int *h21; int Q21; int *D21; int **J21;
716 G21 = calloc(nn4+nn4,sizeof(int*));
717 GBar21 = calloc(nn4+nn4,sizeof(int*));
718 h21 = calloc(nn4+nn4,sizeof(int));
719 D21 = calloc(kk4+kk4,sizeof(int));
720 J21 = calloc(kk4+kk4,sizeof(int*));
721 for(i=0; i<nn4+nn4; i++) {
722 G21[i] = calloc(nn4+nn4, sizeof(int)); GBar21[i] = calloc(nn4+nn4, sizeof(int));
724 for(i=0; i<kk4+kk4; i++)
725 J21[i] = calloc(kk4+kk4, sizeof(int));
726 //appendBlockMatrix(GG4, GG4, G25, nn4, nn4, nn4, nn4);
727 addSubMatrix(GG4, G21, kk4, nn4, 0, 0, 0, 0);
728 addSubMatrix(GG4, G21, kk4, nn4, 0, 0, kk4, nn4);
729 addSubMatrix(GG4, G21, nn4-kk4, nn4, kk4, 0, kk4+kk4, 0); // put the out-of-subspace vectors at the end
730 addSubMatrix(GG4, G21, nn4-kk4, nn4, kk4, 0, kk4+kk4+nn4-kk4, nn4);
731 //appendBlockMatrix(GGBar4, GGBar4, GBar25, nn4, nn4, nn4, nn4);
732 addSubMatrix(GGBar4, GBar21, kk4, nn4, 0, 0, 0, 0);
733 addSubMatrix(GGBar4, GBar21, kk4, nn4, 0, 0, kk4, nn4);
734 addSubMatrix(GGBar4, GBar21, nn4-kk4, nn4, kk4, 0, kk4+kk4, 0); // put the out-of-subspace vectors at the end
735 addSubMatrix(GGBar4, GBar21, nn4-kk4, nn4, kk4, 0, kk4+kk4+nn4-kk4, nn4);
736 appendVector(hh4, hh4, h21, nn4, nn4);
738 appendVector(DD4, DD4, D21, kk4, kk4);
739 appendBlockMatrix(JJ4, JJ4, J21, kk4, kk4, kk4, kk4);
742 int n22 = nn4+nn5; int k22 = kk4+kk5; int **G22; int **GBar22; int *h22; int Q22; int *D22; int **J22;
743 G22 = calloc(nn4+nn5,sizeof(int*));
744 GBar22 = calloc(nn4+nn5,sizeof(int*));
745 h22 = calloc(nn4+nn5,sizeof(int));
746 D22 = calloc(kk4+kk5,sizeof(int));
747 J22 = calloc(kk4+kk5,sizeof(int*));
748 for(i=0; i<nn4+nn5; i++) {
749 G22[i] = calloc(nn4+nn5, sizeof(int)); GBar22[i] = calloc(nn4+nn5, sizeof(int));
751 for(i=0; i<kk4+kk5; i++)
752 J22[i] = calloc(kk4+kk5, sizeof(int));
753 //appendBlockMatrix(GG5, GG4, G26, nn5, nn5, nn4, nn4);
754 addSubMatrix(GG5, G22, kk5, nn5, 0, 0, 0, 0);
755 addSubMatrix(GG4, G22, kk4, nn4, 0, 0, kk5, nn5);
756 addSubMatrix(GG5, G22, nn5-kk5, nn5, kk5, 0, kk5+kk4, 0); // put the out-of-subspace vectors at the end
757 addSubMatrix(GG4, G22, nn4-kk4, nn4, kk4, 0, kk5+kk4+nn5-kk5, nn4);
758 //appendBlockMatrix(GGBar5, GGBar4, GBar26, nn5, nn5, nn4, nn4);
759 addSubMatrix(GGBar5, GBar22, kk5, nn5, 0, 0, 0, 0);
760 addSubMatrix(GGBar4, GBar22, kk4, nn4, 0, 0, kk5, nn5);
761 addSubMatrix(GGBar5, GBar22, nn5-kk5, nn5, kk5, 0, kk5+kk4, 0); // put the out-of-subspace vectors at the end
762 addSubMatrix(GGBar4, GBar22, nn4-kk4, nn4, kk4, 0, kk5+kk4+nn5-kk5, nn4);
763 appendVector(hh5, hh4, h22, nn5, nn4);
765 appendVector(DD5, DD4, D22, kk5, kk4);
766 appendBlockMatrix(JJ5, JJ4, J22, kk5, kk5, kk4, kk4);
769 int n23 = nn4+nn6; int k23 = kk4+kk6; int **G23; int **GBar23; int *h23; int Q23; int *D23; int **J23;
770 G23 = calloc(nn4+nn6,sizeof(int*));
771 GBar23 = calloc(nn4+nn6,sizeof(int*));
772 h23 = calloc(nn4+nn6,sizeof(int));
773 D23 = calloc(kk4+kk6,sizeof(int));
774 J23 = calloc(kk4+kk6,sizeof(int*));
775 for(i=0; i<nn4+nn6; i++) {
776 G23[i] = calloc(nn4+nn6, sizeof(int)); GBar23[i] = calloc(nn4+nn6, sizeof(int));
778 for(i=0; i<kk4+kk6; i++)
779 J23[i] = calloc(kk4+kk6, sizeof(int));
780 //appendBlockMatrix(GG6, GG4, G27, nn6, nn6, nn4, nn4);
781 addSubMatrix(GG6, G23, kk6, nn6, 0, 0, 0, 0);
782 addSubMatrix(GG4, G23, kk4, nn4, 0, 0, kk6, nn6);
783 addSubMatrix(GG6, G23, nn6-kk6, nn6, kk6, 0, kk6+kk4, 0); // put the out-of-subspace vectors at the end
784 addSubMatrix(GG4, G23, nn4-kk4, nn4, kk4, 0, kk6+kk4+nn6-kk6, nn4);
785 //appendBlockMatrix(GGBar6, GGBar4, GBar27, nn6, nn6, nn4, nn4);
786 addSubMatrix(GGBar6, GBar23, kk6, nn6, 0, 0, 0, 0);
787 addSubMatrix(GGBar4, GBar23, kk4, nn4, 0, 0, kk6, nn6);
788 addSubMatrix(GGBar6, GBar23, nn6-kk6, nn6, kk6, 0, kk6+kk4, 0); // put the out-of-subspace vectors at the end
789 addSubMatrix(GGBar4, GBar23, nn4-kk4, nn4, kk4, 0, kk6+kk4+nn6-kk6, nn4);
790 appendVector(hh6, hh4, h23, nn6, nn4);
792 appendVector(DD6, DD4, D23, kk6, kk4);
793 appendBlockMatrix(JJ6, JJ4, J23, kk6, kk6, kk4, kk4);
796 int n24 = nn4+nn7; int k24 = kk4+kk7; int **G24; int **GBar24; int *h24; int Q24; int *D24; int **J24;
797 G24 = calloc(nn4+nn7,sizeof(int*));
798 GBar24 = calloc(nn4+nn7,sizeof(int*));
799 h24 = calloc(nn4+nn7,sizeof(int));
800 D24 = calloc(kk4+kk7,sizeof(int));
801 J24 = calloc(kk4+kk7,sizeof(int*));
802 for(i=0; i<nn4+nn7; i++) {
803 G24[i] = calloc(nn4+nn7, sizeof(int)); GBar24[i] = calloc(nn4+nn7, sizeof(int));
805 for(i=0; i<kk4+kk7; i++)
806 J24[i] = calloc(kk4+kk7, sizeof(int));
807 //appendBlockMatrix(GG7, GG4, G28, nn7, nn7, nn4, nn4);
808 addSubMatrix(GG7, G24, kk7, nn7, 0, 0, 0, 0);
809 addSubMatrix(GG4, G24, kk4, nn4, 0, 0, kk7, nn7);
810 addSubMatrix(GG7, G24, nn7-kk7, nn7, kk7, 0, kk7+kk4, 0); // put the out-of-subspace vectors at the end
811 addSubMatrix(GG4, G24, nn4-kk4, nn4, kk4, 0, kk7+kk4+nn7-kk7, nn4);
812 //appendBlockMatrix(GGBar7, GGBar4, GBar28, nn7, nn7, nn4, nn4);
813 addSubMatrix(GGBar7, GBar24, kk7, nn7, 0, 0, 0, 0);
814 addSubMatrix(GGBar4, GBar24, kk4, nn4, 0, 0, kk7, nn7);
815 addSubMatrix(GGBar7, GBar24, nn7-kk7, nn7, kk7, 0, kk7+kk4, 0); // put the out-of-subspace vectors at the end
816 addSubMatrix(GGBar4, GBar24, nn4-kk4, nn4, kk4, 0, kk7+kk4+nn7-kk7, nn4);
817 appendVector(hh7, hh4, h24, nn7, nn4);
819 appendVector(DD7, DD4, D24, kk7, kk4);
820 appendBlockMatrix(JJ7, JJ4, J24, kk7, kk7, kk4, kk4);
823 int n25 = nn5+nn1; int k25 = kk5+kk1; int **G25; int **GBar25; int *h25; int Q25; int *D25; int **J25;
824 G25 = calloc(nn5+nn1,sizeof(int*));
825 GBar25 = calloc(nn5+nn1,sizeof(int*));
826 h25 = calloc(nn5+nn1,sizeof(int));
827 D25 = calloc(kk5+kk1,sizeof(int));
828 J25 = calloc(kk5+kk1,sizeof(int*));
829 for(i=0; i<nn5+nn1; i++) {
830 G25[i] = calloc(nn5+nn1, sizeof(int)); GBar25[i] = calloc(nn5+nn1, sizeof(int));
832 for(i=0; i<kk5+kk1; i++)
833 J25[i] = calloc(kk5+kk1, sizeof(int));
834 //appendBlockMatrix(GG1, GG5, G29, nn1, nn1, nn5, nn5);
835 addSubMatrix(GG1, G25, kk1, nn1, 0, 0, 0, 0);
836 addSubMatrix(GG5, G25, kk5, nn5, 0, 0, kk1, nn1);
837 addSubMatrix(GG1, G25, nn1-kk1, nn1, kk1, 0, kk1+kk5, 0); // put the out-of-subspace vectors at the end
838 addSubMatrix(GG5, G25, nn5-kk5, nn5, kk5, 0, kk1+kk5+nn1-kk1, nn5);
839 //appendBlockMatrix(GGBar1, GGBar5, GBar29, nn1, nn1, nn5, nn5);
840 addSubMatrix(GGBar1, GBar25, kk1, nn1, 0, 0, 0, 0);
841 addSubMatrix(GGBar5, GBar25, kk5, nn5, 0, 0, kk1, nn1);
842 addSubMatrix(GGBar1, GBar25, nn1-kk1, nn1, kk1, 0, kk1+kk5, 0); // put the out-of-subspace vectors at the end
843 addSubMatrix(GGBar5, GBar25, nn5-kk5, nn5, kk5, 0, kk1+kk5+nn1-kk1, nn5);
844 appendVector(hh1, hh5, h25, nn1, nn5);
846 appendVector(DD1, DD5, D25, kk1, kk5);
847 appendBlockMatrix(JJ1, JJ5, J25, kk1, kk1, kk5, kk5);
850 int n26 = nn5+nn2; int k26 = kk5+kk2; int **G26; int **GBar26; int *h26; int Q26; int *D26; int **J26;
851 G26 = calloc(nn5+nn2,sizeof(int*));
852 GBar26 = calloc(nn5+nn2,sizeof(int*));
853 h26 = calloc(nn5+nn2,sizeof(int));
854 D26 = calloc(kk5+kk2,sizeof(int));
855 J26 = calloc(kk5+kk2,sizeof(int*));
856 for(i=0; i<nn5+nn2; i++) {
857 G26[i] = calloc(nn5+nn2, sizeof(int)); GBar26[i] = calloc(nn5+nn2, sizeof(int));
859 for(i=0; i<kk5+kk2; i++)
860 J26[i] = calloc(kk5+kk2, sizeof(int));
861 //appendBlockMatrix(GG2, GG5, G30, nn2, nn2, nn5, nn5);
862 addSubMatrix(GG2, G26, kk2, nn2, 0, 0, 0, 0);
863 addSubMatrix(GG5, G26, kk5, nn5, 0, 0, kk2, nn2);
864 addSubMatrix(GG2, G26, nn2-kk2, nn2, kk2, 0, kk2+kk5, 0); // put the out-of-subspace vectors at the end
865 addSubMatrix(GG5, G26, nn5-kk5, nn5, kk5, 0, kk2+kk5+nn2-kk2, nn5);
866 //appendBlockMatrix(GGBar2, GGBar5, GBar30, nn2, nn2, nn5, nn5);
867 addSubMatrix(GGBar2, GBar26, kk2, nn2, 0, 0, 0, 0);
868 addSubMatrix(GGBar5, GBar26, kk5, nn5, 0, 0, kk2, nn2);
869 addSubMatrix(GGBar2, GBar26, nn2-kk2, nn2, kk2, 0, kk2+kk5, 0); // put the out-of-subspace vectors at the end
870 addSubMatrix(GGBar5, GBar26, nn5-kk5, nn5, kk5, 0, kk2+kk5+nn2-kk2, nn5);
871 appendVector(hh2, hh5, h26, nn2, nn5);
873 appendVector(DD2, DD5, D26, kk2, kk5);
874 appendBlockMatrix(JJ2, JJ5, J26, kk2, kk2, kk5, kk5);
877 int n27 = nn5+nn3; int k27 = kk5+kk3; int **G27; int **GBar27; int *h27; int Q27; int *D27; int **J27;
878 G27 = calloc(nn5+nn3,sizeof(int*));
879 GBar27 = calloc(nn5+nn3,sizeof(int*));
880 h27 = calloc(nn5+nn3,sizeof(int));
881 D27 = calloc(kk5+kk3,sizeof(int));
882 J27 = calloc(kk5+kk3,sizeof(int*));
883 for(i=0; i<nn5+nn3; i++) {
884 G27[i] = calloc(nn5+nn3, sizeof(int)); GBar27[i] = calloc(nn5+nn3, sizeof(int));
886 for(i=0; i<kk5+kk3; i++)
887 J27[i] = calloc(kk5+kk3, sizeof(int));
888 //appendBlockMatrix(GG3, GG5, G31, nn3, nn3, nn5, nn5);
889 addSubMatrix(GG3, G27, kk3, nn3, 0, 0, 0, 0);
890 addSubMatrix(GG5, G27, kk5, nn5, 0, 0, kk3, nn3);
891 addSubMatrix(GG3, G27, nn3-kk3, nn3, kk3, 0, kk3+kk5, 0); // put the out-of-subspace vectors at the end
892 addSubMatrix(GG5, G27, nn5-kk5, nn5, kk5, 0, kk3+kk5+nn3-kk3, nn5);
893 //appendBlockMatrix(GGBar3, GGBar5, GBar31, nn3, nn3, nn5, nn5);
894 addSubMatrix(GGBar3, GBar27, kk3, nn3, 0, 0, 0, 0);
895 addSubMatrix(GGBar5, GBar27, kk5, nn5, 0, 0, kk3, nn3);
896 addSubMatrix(GGBar3, GBar27, nn3-kk3, nn3, kk3, 0, kk3+kk5, 0); // put the out-of-subspace vectors at the end
897 addSubMatrix(GGBar5, GBar27, nn5-kk5, nn5, kk5, 0, kk3+kk5+nn3-kk3, nn5);
898 appendVector(hh3, hh5, h27, nn3, nn5);
900 appendVector(DD3, DD5, D27, kk3, kk5);
901 appendBlockMatrix(JJ3, JJ5, J27, kk3, kk3, kk5, kk5);
904 int n28 = nn5+nn4; int k28 = kk5+kk4; int **G28; int **GBar28; int *h28; int Q28; int *D28; int **J28;
905 G28 = calloc(nn5+nn4,sizeof(int*));
906 GBar28 = calloc(nn5+nn4,sizeof(int*));
907 h28 = calloc(nn5+nn4,sizeof(int));
908 D28 = calloc(kk5+kk4,sizeof(int));
909 J28 = calloc(kk5+kk4,sizeof(int*));
910 for(i=0; i<nn5+nn4; i++) {
911 G28[i] = calloc(nn5+nn4, sizeof(int)); GBar28[i] = calloc(nn5+nn4, sizeof(int));
913 for(i=0; i<kk5+kk4; i++)
914 J28[i] = calloc(kk5+kk4, sizeof(int));
915 //appendBlockMatrix(GG4, GG5, G32, nn4, nn4, nn5, nn5);
916 addSubMatrix(GG4, G28, kk4, nn4, 0, 0, 0, 0);
917 addSubMatrix(GG5, G28, kk5, nn5, 0, 0, kk4, nn4);
918 addSubMatrix(GG4, G28, nn4-kk4, nn4, kk4, 0, kk4+kk5, 0); // put the out-of-subspace vectors at the end
919 addSubMatrix(GG5, G28, nn5-kk5, nn5, kk5, 0, kk4+kk5+nn4-kk4, nn5);
920 //appendBlockMatrix(GGBar4, GGBar5, GBar32, nn4, nn4, nn5, nn5);
921 addSubMatrix(GGBar4, GBar28, kk4, nn4, 0, 0, 0, 0);
922 addSubMatrix(GGBar5, GBar28, kk5, nn5, 0, 0, kk4, nn4);
923 addSubMatrix(GGBar4, GBar28, nn4-kk4, nn4, kk4, 0, kk4+kk5, 0); // put the out-of-subspace vectors at the end
924 addSubMatrix(GGBar5, GBar28, nn5-kk5, nn5, kk5, 0, kk4+kk5+nn4-kk4, nn5);
925 appendVector(hh4, hh5, h28, nn4, nn5);
927 appendVector(DD4, DD5, D28, kk4, kk5);
928 appendBlockMatrix(JJ4, JJ5, J28, kk4, kk4, kk5, kk5);
931 int n29 = nn5+nn5; int k29 = kk5+kk5; int **G29; int **GBar29; int *h29; int Q29; int *D29; int **J29;
932 G29 = calloc(nn5+nn5,sizeof(int*));
933 GBar29 = calloc(nn5+nn5,sizeof(int*));
934 h29 = calloc(nn5+nn5,sizeof(int));
935 D29 = calloc(kk5+kk5,sizeof(int));
936 J29 = calloc(kk5+kk5,sizeof(int*));
937 for(i=0; i<nn5+nn5; i++) {
938 G29[i] = calloc(nn5+nn5, sizeof(int)); GBar29[i] = calloc(nn5+nn5, sizeof(int));
940 for(i=0; i<kk5+kk5; i++)
941 J29[i] = calloc(kk5+kk5, sizeof(int));
942 //appendBlockMatrix(GG5, GG5, G33, nn5, nn5, nn5, nn5);
943 addSubMatrix(GG5, G29, kk5, nn5, 0, 0, 0, 0);
944 addSubMatrix(GG5, G29, kk5, nn5, 0, 0, kk5, nn5);
945 addSubMatrix(GG5, G29, nn5-kk5, nn5, kk5, 0, kk5+kk5, 0); // put the out-of-subspace vectors at the end
946 addSubMatrix(GG5, G29, nn5-kk5, nn5, kk5, 0, kk5+kk5+nn5-kk5, nn5);
947 //appendBlockMatrix(GGBar5, GGBar5, GBar33, nn5, nn5, nn5, nn5);
948 addSubMatrix(GGBar5, GBar29, kk5, nn5, 0, 0, 0, 0);
949 addSubMatrix(GGBar5, GBar29, kk5, nn5, 0, 0, kk5, nn5);
950 addSubMatrix(GGBar5, GBar29, nn5-kk5, nn5, kk5, 0, kk5+kk5, 0); // put the out-of-subspace vectors at the end
951 addSubMatrix(GGBar5, GBar29, nn5-kk5, nn5, kk5, 0, kk5+kk5+nn5-kk5, nn5);
952 appendVector(hh5, hh5, h29, nn5, nn5);
954 appendVector(DD5, DD5, D29, kk5, kk5);
955 appendBlockMatrix(JJ5, JJ5, J29, kk5, kk5, kk5, kk5);
958 int n30 = nn5+nn6; int k30 = kk5+kk6; int **G30; int **GBar30; int *h30; int Q30; int *D30; int **J30;
959 G30 = calloc(nn5+nn6,sizeof(int*));
960 GBar30 = calloc(nn5+nn6,sizeof(int*));
961 h30 = calloc(nn5+nn6,sizeof(int));
962 D30 = calloc(kk5+kk6,sizeof(int));
963 J30 = calloc(kk5+kk6,sizeof(int*));
964 for(i=0; i<nn5+nn6; i++) {
965 G30[i] = calloc(nn5+nn6, sizeof(int)); GBar30[i] = calloc(nn5+nn6, sizeof(int));
967 for(i=0; i<kk5+kk6; i++)
968 J30[i] = calloc(kk5+kk6, sizeof(int));
969 //appendBlockMatrix(GG6, GG5, G34, nn6, nn6, nn5, nn5);
970 addSubMatrix(GG6, G30, kk6, nn6, 0, 0, 0, 0);
971 addSubMatrix(GG5, G30, kk5, nn5, 0, 0, kk6, nn6);
972 addSubMatrix(GG6, G30, nn6-kk6, nn6, kk6, 0, kk6+kk5, 0); // put the out-of-subspace vectors at the end
973 addSubMatrix(GG5, G30, nn5-kk5, nn5, kk5, 0, kk6+kk5+nn6-kk6, nn5);
974 //appendBlockMatrix(GGBar6, GGBar5, GBar34, nn6, nn6, nn5, nn5);
975 addSubMatrix(GGBar6, GBar30, kk6, nn6, 0, 0, 0, 0);
976 addSubMatrix(GGBar5, GBar30, kk5, nn5, 0, 0, kk6, nn6);
977 addSubMatrix(GGBar6, GBar30, nn6-kk6, nn6, kk6, 0, kk6+kk5, 0); // put the out-of-subspace vectors at the end
978 addSubMatrix(GGBar5, GBar30, nn5-kk5, nn5, kk5, 0, kk6+kk5+nn6-kk6, nn5);
979 appendVector(hh6, hh5, h30, nn6, nn5);
981 appendVector(DD6, DD5, D30, kk6, kk5);
982 appendBlockMatrix(JJ6, JJ5, J30, kk6, kk6, kk5, kk5);
985 int n31 = nn5+nn7; int k31 = kk5+kk7; int **G31; int **GBar31; int *h31; int Q31; int *D31; int **J31;
986 G31 = calloc(nn5+nn7,sizeof(int*));
987 GBar31 = calloc(nn5+nn7,sizeof(int*));
988 h31 = calloc(nn5+nn7,sizeof(int));
989 D31 = calloc(kk5+kk7,sizeof(int));
990 J31 = calloc(kk5+kk7,sizeof(int*));
991 for(i=0; i<nn5+nn7; i++) {
992 G31[i] = calloc(nn5+nn7, sizeof(int)); GBar31[i] = calloc(nn5+nn7, sizeof(int));
994 for(i=0; i<kk5+kk7; i++)
995 J31[i] = calloc(kk5+kk7, sizeof(int));
996 //appendBlockMatrix(GG7, GG5, G35, nn7, nn7, nn5, nn5);
997 addSubMatrix(GG7, G31, kk7, nn7, 0, 0, 0, 0);
998 addSubMatrix(GG5, G31, kk5, nn5, 0, 0, kk7, nn7);
999 addSubMatrix(GG7, G31, nn7-kk7, nn7, kk7, 0, kk7+kk5, 0); // put the out-of-subspace vectors at the end
1000 addSubMatrix(GG5, G31, nn5-kk5, nn5, kk5, 0, kk7+kk5+nn7-kk7, nn5);
1001 //appendBlockMatrix(GGBar7, GGBar5, GBar35, nn7, nn7, nn5, nn5);
1002 addSubMatrix(GGBar7, GBar31, kk7, nn7, 0, 0, 0, 0);
1003 addSubMatrix(GGBar5, GBar31, kk5, nn5, 0, 0, kk7, nn7);
1004 addSubMatrix(GGBar7, GBar31, nn7-kk7, nn7, kk7, 0, kk7+kk5, 0); // put the out-of-subspace vectors at the end
1005 addSubMatrix(GGBar5, GBar31, nn5-kk5, nn5, kk5, 0, kk7+kk5+nn7-kk7, nn5);
1006 appendVector(hh7, hh5, h31, nn7, nn5);
1008 appendVector(DD7, DD5, D31, kk7, kk5);
1009 appendBlockMatrix(JJ7, JJ5, J31, kk7, kk7, kk5, kk5);
1012 int n32 = nn6+nn1; int k32 = kk6+kk1; int **G32; int **GBar32; int *h32; int Q32; int *D32; int **J32;
1013 G32 = calloc(nn6+nn1,sizeof(int*));
1014 GBar32 = calloc(nn6+nn1,sizeof(int*));
1015 h32 = calloc(nn6+nn1,sizeof(int));
1016 D32 = calloc(kk6+kk1,sizeof(int));
1017 J32 = calloc(kk6+kk1,sizeof(int*));
1018 for(i=0; i<nn6+nn1; i++) {
1019 G32[i] = calloc(nn6+nn1, sizeof(int)); GBar32[i] = calloc(nn6+nn1, sizeof(int));
1021 for(i=0; i<kk6+kk1; i++)
1022 J32[i] = calloc(kk6+kk1, sizeof(int));
1023 //appendBlockMatrix(GG1, GG6, G36, nn1, nn1, nn6, nn6);
1024 addSubMatrix(GG1, G32, kk1, nn1, 0, 0, 0, 0);
1025 addSubMatrix(GG6, G32, kk6, nn6, 0, 0, kk1, nn1);
1026 addSubMatrix(GG1, G32, nn1-kk1, nn1, kk1, 0, kk1+kk6, 0); // put the out-of-subspace vectors at the end
1027 addSubMatrix(GG6, G32, nn6-kk6, nn6, kk6, 0, kk1+kk6+nn1-kk1, nn6);
1028 //appendBlockMatrix(GGBar1, GGBar6, GBar36, nn1, nn1, nn6, nn6);
1029 addSubMatrix(GGBar1, GBar32, kk1, nn1, 0, 0, 0, 0);
1030 addSubMatrix(GGBar6, GBar32, kk6, nn6, 0, 0, kk1, nn1);
1031 addSubMatrix(GGBar1, GBar32, nn1-kk1, nn1, kk1, 0, kk1+kk6, 0); // put the out-of-subspace vectors at the end
1032 addSubMatrix(GGBar6, GBar32, nn6-kk6, nn6, kk6, 0, kk1+kk6+nn1-kk1, nn6);
1033 appendVector(hh1, hh6, h32, nn1, nn6);
1035 appendVector(DD1, DD6, D32, kk1, kk6);
1036 appendBlockMatrix(JJ1, JJ6, J32, kk1, kk1, kk6, kk6);
1039 int n33 = nn6+nn2; int k33 = kk6+kk2; int **G33; int **GBar33; int *h33; int Q33; int *D33; int **J33;
1040 G33 = calloc(nn6+nn2,sizeof(int*));
1041 GBar33 = calloc(nn6+nn2,sizeof(int*));
1042 h33 = calloc(nn6+nn2,sizeof(int));
1043 D33 = calloc(kk6+kk2,sizeof(int));
1044 J33 = calloc(kk6+kk2,sizeof(int*));
1045 for(i=0; i<nn6+nn2; i++) {
1046 G33[i] = calloc(nn6+nn2, sizeof(int)); GBar33[i] = calloc(nn6+nn2, sizeof(int));
1048 for(i=0; i<kk6+kk2; i++)
1049 J33[i] = calloc(kk6+kk2, sizeof(int));
1050 //appendBlockMatrix(GG2, GG6, G37, nn2, nn2, nn6, nn6);
1051 addSubMatrix(GG2, G33, kk2, nn2, 0, 0, 0, 0);
1052 addSubMatrix(GG6, G33, kk6, nn6, 0, 0, kk2, nn2);
1053 addSubMatrix(GG2, G33, nn2-kk2, nn2, kk2, 0, kk2+kk6, 0); // put the out-of-subspace vectors at the end
1054 addSubMatrix(GG6, G33, nn6-kk6, nn6, kk6, 0, kk2+kk6+nn2-kk2, nn6);
1055 //appendBlockMatrix(GGBar2, GGBar6, GBar37, nn2, nn2, nn6, nn6);
1056 addSubMatrix(GGBar2, GBar33, kk2, nn2, 0, 0, 0, 0);
1057 addSubMatrix(GGBar6, GBar33, kk6, nn6, 0, 0, kk2, nn2);
1058 addSubMatrix(GGBar2, GBar33, nn2-kk2, nn2, kk2, 0, kk2+kk6, 0); // put the out-of-subspace vectors at the end
1059 addSubMatrix(GGBar6, GBar33, nn6-kk6, nn6, kk6, 0, kk2+kk6+nn2-kk2, nn6);
1060 appendVector(hh2, hh6, h33, nn2, nn6);
1062 appendVector(DD2, DD6, D33, kk2, kk6);
1063 appendBlockMatrix(JJ2, JJ6, J33, kk2, kk2, kk6, kk6);
1066 int n34 = nn6+nn3; int k34 = kk6+kk3; int **G34; int **GBar34; int *h34; int Q34; int *D34; int **J34;
1067 G34 = calloc(nn6+nn3,sizeof(int*));
1068 GBar34 = calloc(nn6+nn3,sizeof(int*));
1069 h34 = calloc(nn6+nn3,sizeof(int));
1070 D34 = calloc(kk6+kk3,sizeof(int));
1071 J34 = calloc(kk6+kk3,sizeof(int*));
1072 for(i=0; i<nn6+nn3; i++) {
1073 G34[i] = calloc(nn6+nn3, sizeof(int)); GBar34[i] = calloc(nn6+nn3, sizeof(int));
1075 for(i=0; i<kk6+kk3; i++)
1076 J34[i] = calloc(kk6+kk3, sizeof(int));
1077 //appendBlockMatrix(GG3, GG6, G38, nn3, nn3, nn6, nn6);
1078 addSubMatrix(GG3, G34, kk3, nn3, 0, 0, 0, 0);
1079 addSubMatrix(GG6, G34, kk6, nn6, 0, 0, kk3, nn3);
1080 addSubMatrix(GG3, G34, nn3-kk3, nn3, kk3, 0, kk3+kk6, 0); // put the out-of-subspace vectors at the end
1081 addSubMatrix(GG6, G34, nn6-kk6, nn6, kk6, 0, kk3+kk6+nn3-kk3, nn6);
1082 //appendBlockMatrix(GGBar3, GGBar6, GBar38, nn3, nn3, nn6, nn6);
1083 addSubMatrix(GGBar3, GBar34, kk3, nn3, 0, 0, 0, 0);
1084 addSubMatrix(GGBar6, GBar34, kk6, nn6, 0, 0, kk3, nn3);
1085 addSubMatrix(GGBar3, GBar34, nn3-kk3, nn3, kk3, 0, kk3+kk6, 0); // put the out-of-subspace vectors at the end
1086 addSubMatrix(GGBar6, GBar34, nn6-kk6, nn6, kk6, 0, kk3+kk6+nn3-kk3, nn6);
1087 appendVector(hh3, hh6, h34, nn3, nn6);
1089 appendVector(DD3, DD6, D34, kk3, kk6);
1090 appendBlockMatrix(JJ3, JJ6, J34, kk3, kk3, kk6, kk6);
1093 int n35 = nn6+nn4; int k35 = kk6+kk4; int **G35; int **GBar35; int *h35; int Q35; int *D35; int **J35;
1094 G35 = calloc(nn6+nn4,sizeof(int*));
1095 GBar35 = calloc(nn6+nn4,sizeof(int*));
1096 h35 = calloc(nn6+nn4,sizeof(int));
1097 D35 = calloc(kk6+kk4,sizeof(int));
1098 J35 = calloc(kk6+kk4,sizeof(int*));
1099 for(i=0; i<nn6+nn4; i++) {
1100 G35[i] = calloc(nn6+nn4, sizeof(int)); GBar35[i] = calloc(nn6+nn4, sizeof(int));
1102 for(i=0; i<kk6+kk4; i++)
1103 J35[i] = calloc(kk6+kk4, sizeof(int));
1104 //appendBlockMatrix(GG4, GG6, G39, nn4, nn4, nn6, nn6);
1105 addSubMatrix(GG4, G35, kk4, nn4, 0, 0, 0, 0);
1106 addSubMatrix(GG6, G35, kk6, nn6, 0, 0, kk4, nn4);
1107 addSubMatrix(GG4, G35, nn4-kk4, nn4, kk4, 0, kk4+kk6, 0); // put the out-of-subspace vectors at the end
1108 addSubMatrix(GG6, G35, nn6-kk6, nn6, kk6, 0, kk4+kk6+nn4-kk4, nn6);
1109 //appendBlockMatrix(GGBar4, GGBar6, GBar39, nn4, nn4, nn6, nn6);
1110 addSubMatrix(GGBar4, GBar35, kk4, nn4, 0, 0, 0, 0);
1111 addSubMatrix(GGBar6, GBar35, kk6, nn6, 0, 0, kk4, nn4);
1112 addSubMatrix(GGBar4, GBar35, nn4-kk4, nn4, kk4, 0, kk4+kk6, 0); // put the out-of-subspace vectors at the end
1113 addSubMatrix(GGBar6, GBar35, nn6-kk6, nn6, kk6, 0, kk4+kk6+nn4-kk4, nn6);
1114 appendVector(hh4, hh6, h35, nn4, nn6);
1116 appendVector(DD4, DD6, D35, kk4, kk6);
1117 appendBlockMatrix(JJ4, JJ6, J35, kk4, kk4, kk6, kk6);
1120 int n36 = nn6+nn5; int k36 = kk6+kk5; int **G36; int **GBar36; int *h36; int Q36; int *D36; int **J36;
1121 G36 = calloc(nn6+nn5,sizeof(int*));
1122 GBar36 = calloc(nn6+nn5,sizeof(int*));
1123 h36 = calloc(nn6+nn5,sizeof(int));
1124 D36 = calloc(kk6+kk5,sizeof(int));
1125 J36 = calloc(kk6+kk5,sizeof(int*));
1126 for(i=0; i<nn6+nn5; i++) {
1127 G36[i] = calloc(nn6+nn5, sizeof(int)); GBar36[i] = calloc(nn6+nn5, sizeof(int));
1129 for(i=0; i<kk6+kk5; i++)
1130 J36[i] = calloc(kk6+kk5, sizeof(int));
1131 //appendBlockMatrix(GG5, GG6, G40, nn5, nn5, nn6, nn6);
1132 addSubMatrix(GG5, G36, kk5, nn5, 0, 0, 0, 0);
1133 addSubMatrix(GG6, G36, kk6, nn6, 0, 0, kk5, nn5);
1134 addSubMatrix(GG5, G36, nn5-kk5, nn5, kk5, 0, kk5+kk6, 0); // put the out-of-subspace vectors at the end
1135 addSubMatrix(GG6, G36, nn6-kk6, nn6, kk6, 0, kk5+kk6+nn5-kk5, nn6);
1136 //appendBlockMatrix(GGBar5, GGBar6, GBar40, nn5, nn5, nn6, nn6);
1137 addSubMatrix(GGBar5, GBar36, kk5, nn5, 0, 0, 0, 0);
1138 addSubMatrix(GGBar6, GBar36, kk6, nn6, 0, 0, kk5, nn5);
1139 addSubMatrix(GGBar5, GBar36, nn5-kk5, nn5, kk5, 0, kk5+kk6, 0); // put the out-of-subspace vectors at the end
1140 addSubMatrix(GGBar6, GBar36, nn6-kk6, nn6, kk6, 0, kk5+kk6+nn5-kk5, nn6);
1141 appendVector(hh5, hh6, h36, nn5, nn6);
1143 appendVector(DD5, DD6, D36, kk5, kk6);
1144 appendBlockMatrix(JJ5, JJ6, J36, kk5, kk5, kk6, kk6);
1146 // phiprime * phiprime
1147 int n37 = nn6+nn6; int k37 = kk6+kk6; int **G37; int **GBar37; int *h37; int Q37; int *D37; int **J37;
1148 G37 = calloc(nn6+nn6,sizeof(int*));
1149 GBar37 = calloc(nn6+nn6,sizeof(int*));
1150 h37 = calloc(nn6+nn6,sizeof(int));
1151 D37 = calloc(kk6+kk6,sizeof(int));
1152 J37 = calloc(kk6+kk6,sizeof(int*));
1153 for(i=0; i<nn6+nn6; i++) {
1154 G37[i] = calloc(nn6+nn6, sizeof(int)); GBar37[i] = calloc(nn6+nn6, sizeof(int));
1156 for(i=0; i<kk6+kk6; i++)
1157 J37[i] = calloc(kk6+kk6, sizeof(int));
1158 //appendBlockMatrix(GG6, GG6, G41, nn6, nn6, nn6, nn6);
1159 addSubMatrix(GG6, G37, kk6, nn6, 0, 0, 0, 0);
1160 addSubMatrix(GG6, G37, kk6, nn6, 0, 0, kk6, nn6);
1161 addSubMatrix(GG6, G37, nn6-kk6, nn6, kk6, 0, kk6+kk6, 0); // put the out-of-subspace vectors at the end
1162 addSubMatrix(GG6, G37, nn6-kk6, nn6, kk6, 0, kk6+kk6+nn6-kk6, nn6);
1163 //appendBlockMatrix(GGBar6, GGBar6, GBar41, nn6, nn6, nn6, nn6);
1164 addSubMatrix(GGBar6, GBar37, kk6, nn6, 0, 0, 0, 0);
1165 addSubMatrix(GGBar6, GBar37, kk6, nn6, 0, 0, kk6, nn6);
1166 addSubMatrix(GGBar6, GBar37, nn6-kk6, nn6, kk6, 0, kk6+kk6, 0); // put the out-of-subspace vectors at the end
1167 addSubMatrix(GGBar6, GBar37, nn6-kk6, nn6, kk6, 0, kk6+kk6+nn6-kk6, nn6);
1168 appendVector(hh6, hh6, h37, nn6, nn6);
1170 appendVector(DD6, DD6, D37, kk6, kk6);
1171 appendBlockMatrix(JJ6, JJ6, J37, kk6, kk6, kk6, kk6);
1173 // phidprime * phiprime
1174 int n38 = nn6+nn7; int k38 = kk6+kk7; int **G38; int **GBar38; int *h38; int Q38; int *D38; int **J38;
1175 G38 = calloc(nn6+nn7,sizeof(int*));
1176 GBar38 = calloc(nn6+nn7,sizeof(int*));
1177 h38 = calloc(nn6+nn7,sizeof(int));
1178 D38 = calloc(kk6+kk7,sizeof(int));
1179 J38 = calloc(kk6+kk7,sizeof(int*));
1180 for(i=0; i<nn6+nn7; i++) {
1181 G38[i] = calloc(nn6+nn7, sizeof(int)); GBar38[i] = calloc(nn6+nn7, sizeof(int));
1183 for(i=0; i<kk6+kk7; i++)
1184 J38[i] = calloc(kk6+kk7, sizeof(int));
1185 //appendBlockMatrix(GG7, GG6, G42, nn7, nn7, nn6, nn6);
1186 addSubMatrix(GG7, G38, kk7, nn7, 0, 0, 0, 0);
1187 addSubMatrix(GG6, G38, kk6, nn6, 0, 0, kk7, nn7);
1188 addSubMatrix(GG7, G38, nn7-kk7, nn7, kk7, 0, kk7+kk6, 0); // put the out-of-subspace vectors at the end
1189 addSubMatrix(GG6, G38, nn6-kk6, nn6, kk6, 0, kk7+kk6+nn7-kk7, nn6);
1190 //appendBlockMatrix(GGBar7, GGBar6, GBar42, nn7, nn7, nn6, nn6);
1191 addSubMatrix(GGBar7, GBar38, kk7, nn7, 0, 0, 0, 0);
1192 addSubMatrix(GGBar6, GBar38, kk6, nn6, 0, 0, kk7, nn7);
1193 addSubMatrix(GGBar7, GBar38, nn7-kk7, nn7, kk7, 0, kk7+kk6, 0); // put the out-of-subspace vectors at the end
1194 addSubMatrix(GGBar6, GBar38, nn6-kk6, nn6, kk6, 0, kk7+kk6+nn7-kk7, nn6);
1195 appendVector(hh7, hh6, h38, nn7, nn6);
1197 appendVector(DD7, DD6, D38, kk7, kk6);
1198 appendBlockMatrix(JJ7, JJ6, J38, kk7, kk7, kk6, kk6);
1201 int n39 = nn7+nn1; int k39 = kk7+kk1; int **G39; int **GBar39; int *h39; int Q39; int *D39; int **J39;
1202 G39 = calloc(nn7+nn1,sizeof(int*));
1203 GBar39 = calloc(nn7+nn1,sizeof(int*));
1204 h39 = calloc(nn7+nn1,sizeof(int));
1205 D39 = calloc(kk7+kk1,sizeof(int));
1206 J39 = calloc(kk7+kk1,sizeof(int*));
1207 for(i=0; i<nn7+nn1; i++) {
1208 G39[i] = calloc(nn7+nn1, sizeof(int)); GBar39[i] = calloc(nn7+nn1, sizeof(int));
1210 for(i=0; i<kk7+kk1; i++)
1211 J39[i] = calloc(kk7+kk1, sizeof(int));
1212 //appendBlockMatrix(GG1, GG7, G43, nn1, nn1, nn7, nn7);
1213 addSubMatrix(GG1, G39, kk1, nn1, 0, 0, 0, 0);
1214 addSubMatrix(GG7, G39, kk7, nn7, 0, 0, kk1, nn1);
1215 addSubMatrix(GG1, G39, nn1-kk1, nn1, kk1, 0, kk1+kk7, 0); // put the out-of-subspace vectors at the end
1216 addSubMatrix(GG7, G39, nn7-kk7, nn7, kk7, 0, kk1+kk7+nn1-kk1, nn7);
1217 //appendBlockMatrix(GGBar1, GGBar7, GBar43, nn1, nn1, nn7, nn7);
1218 addSubMatrix(GGBar1, GBar39, kk1, nn1, 0, 0, 0, 0);
1219 addSubMatrix(GGBar7, GBar39, kk7, nn7, 0, 0, kk1, nn1);
1220 addSubMatrix(GGBar1, GBar39, nn1-kk1, nn1, kk1, 0, kk1+kk7, 0); // put the out-of-subspace vectors at the end
1221 addSubMatrix(GGBar7, GBar39, nn7-kk7, nn7, kk7, 0, kk1+kk7+nn1-kk1, nn7);
1222 appendVector(hh1, hh7, h39, nn1, nn7);
1224 appendVector(DD1, DD7, D39, kk1, kk7);
1225 appendBlockMatrix(JJ1, JJ7, J39, kk1, kk1, kk7, kk7);
1228 int n40 = nn7+nn2; int k40 = kk7+kk2; int **G40; int **GBar40; int *h40; int Q40; int *D40; int **J40;
1229 G40 = calloc(nn7+nn2,sizeof(int*));
1230 GBar40 = calloc(nn7+nn2,sizeof(int*));
1231 h40 = calloc(nn7+nn2,sizeof(int));
1232 D40 = calloc(kk7+kk2,sizeof(int));
1233 J40 = calloc(kk7+kk2,sizeof(int*));
1234 for(i=0; i<nn7+nn2; i++) {
1235 G40[i] = calloc(nn7+nn2, sizeof(int)); GBar40[i] = calloc(nn7+nn2, sizeof(int));
1237 for(i=0; i<kk7+kk2; i++)
1238 J40[i] = calloc(kk7+kk2, sizeof(int));
1239 //appendBlockMatrix(GG2, GG7, G44, nn2, nn2, nn7, nn7);
1240 addSubMatrix(GG2, G40, kk2, nn2, 0, 0, 0, 0);
1241 addSubMatrix(GG7, G40, kk7, nn7, 0, 0, kk2, nn2);
1242 addSubMatrix(GG1, G40, nn2-kk2, nn2, kk2, 0, kk2+kk7, 0); // put the out-of-subspace vectors at the end
1243 addSubMatrix(GG7, G40, nn7-kk7, nn7, kk7, 0, kk2+kk7+nn2-kk2, nn7);
1244 //appendBlockMatrix(GGBar2, GGBar7, GBar44, nn2, nn2, nn7, nn7);
1245 addSubMatrix(GGBar2, GBar40, kk2, nn2, 0, 0, 0, 0);
1246 addSubMatrix(GGBar7, GBar40, kk7, nn7, 0, 0, kk2, nn2);
1247 addSubMatrix(GGBar1, GBar40, nn2-kk2, nn2, kk2, 0, kk2+kk7, 0); // put the out-of-subspace vectors at the end
1248 addSubMatrix(GGBar7, GBar40, nn7-kk7, nn7, kk7, 0, kk2+kk7+nn2-kk2, nn7);
1249 appendVector(hh2, hh7, h40, nn2, nn7);
1251 appendVector(DD2, DD7, D40, kk2, kk7);
1252 appendBlockMatrix(JJ2, JJ7, J40, kk2, kk2, kk7, kk7);
1255 int n41 = nn7+nn3; int k41 = kk7+kk3; int **G41; int **GBar41; int *h41; int Q41; int *D41; int **J41;
1256 G41 = calloc(nn7+nn3,sizeof(int*));
1257 GBar41 = calloc(nn7+nn3,sizeof(int*));
1258 h41 = calloc(nn7+nn3,sizeof(int));
1259 D41 = calloc(kk7+kk3,sizeof(int));
1260 J41 = calloc(kk7+kk3,sizeof(int*));
1261 for(i=0; i<nn7+nn3; i++) {
1262 G41[i] = calloc(nn7+nn3, sizeof(int)); GBar41[i] = calloc(nn7+nn3, sizeof(int));
1264 for(i=0; i<kk7+kk3; i++)
1265 J41[i] = calloc(kk7+kk3, sizeof(int));
1266 //appendBlockMatrix(GG3, GG7, G45, nn3, nn3, nn7, nn7);
1267 addSubMatrix(GG3, G41, kk3, nn3, 0, 0, 0, 0);
1268 addSubMatrix(GG7, G41, kk7, nn7, 0, 0, kk3, nn3);
1269 addSubMatrix(GG3, G41, nn3-kk3, nn3, kk3, 0, kk3+kk7, 0); // put the out-of-subspace vectors at the end
1270 addSubMatrix(GG7, G41, nn7-kk7, nn7, kk7, 0, kk3+kk7+nn3-kk3, nn7);
1271 //appendBlockMatrix(GGBar3, GGBar7, GBar45, nn3, nn3, nn7, nn7);
1272 addSubMatrix(GGBar3, GBar41, kk3, nn3, 0, 0, 0, 0);
1273 addSubMatrix(GGBar7, GBar41, kk7, nn7, 0, 0, kk3, nn3);
1274 addSubMatrix(GGBar3, GBar41, nn3-kk3, nn3, kk3, 0, kk3+kk7, 0); // put the out-of-subspace vectors at the end
1275 addSubMatrix(GGBar7, GBar41, nn7-kk7, nn7, kk7, 0, kk3+kk7+nn3-kk3, nn7);
1276 appendVector(hh3, hh7, h41, nn3, nn7);
1278 appendVector(DD3, DD7, D41, kk3, kk7);
1279 appendBlockMatrix(JJ3, JJ7, J41, kk3, kk3, kk7, kk7);
1282 int n42 = nn7+nn4; int k42 = kk7+kk4; int **G42; int **GBar42; int *h42; int Q42; int *D42; int **J42;
1283 G42 = calloc(nn7+nn4,sizeof(int*));
1284 GBar42 = calloc(nn7+nn4,sizeof(int*));
1285 h42 = calloc(nn7+nn4,sizeof(int));
1286 D42 = calloc(kk7+kk4,sizeof(int));
1287 J42 = calloc(kk7+kk4,sizeof(int*));
1288 for(i=0; i<nn7+nn4; i++) {
1289 G42[i] = calloc(nn7+nn4, sizeof(int)); GBar42[i] = calloc(nn7+nn4, sizeof(int));
1291 for(i=0; i<kk7+kk4; i++)
1292 J42[i] = calloc(kk7+kk4, sizeof(int));
1293 //appendBlockMatrix(GG4, GG7, G46, nn4, nn4, nn7, nn7);
1294 addSubMatrix(GG4, G42, kk4, nn4, 0, 0, 0, 0);
1295 addSubMatrix(GG7, G42, kk7, nn7, 0, 0, kk4, nn4);
1296 addSubMatrix(GG4, G42, nn4-kk4, nn4, kk4, 0, kk4+kk7, 0); // put the out-of-subspace vectors at the end
1297 addSubMatrix(GG7, G42, nn7-kk7, nn7, kk7, 0, kk4+kk7+nn4-kk4, nn7);
1298 //appendBlockMatrix(GGBar4, GGBar7, GBar46, nn4, nn4, nn7, nn7);
1299 addSubMatrix(GGBar4, GBar42, kk4, nn4, 0, 0, 0, 0);
1300 addSubMatrix(GGBar7, GBar42, kk7, nn7, 0, 0, kk4, nn4);
1301 addSubMatrix(GGBar4, GBar42, nn4-kk4, nn4, kk4, 0, kk4+kk7, 0); // put the out-of-subspace vectors at the end
1302 addSubMatrix(GGBar7, GBar42, nn7-kk7, nn7, kk7, 0, kk4+kk7+nn4-kk4, nn7);
1303 appendVector(hh4, hh7, h42, nn4, nn7);
1305 appendVector(DD4, DD7, D42, kk4, kk7);
1306 appendBlockMatrix(JJ4, JJ7, J42, kk4, kk4, kk7, kk7);
1309 int n43 = nn7+nn5; int k43 = kk7+kk5; int **G43; int **GBar43; int *h43; int Q43; int *D43; int **J43;
1310 G43 = calloc(nn7+nn5,sizeof(int*));
1311 GBar43 = calloc(nn7+nn5,sizeof(int*));
1312 h43 = calloc(nn7+nn5,sizeof(int));
1313 D43 = calloc(kk7+kk5,sizeof(int));
1314 J43 = calloc(kk7+kk5,sizeof(int*));
1315 for(i=0; i<nn7+nn5; i++) {
1316 G43[i] = calloc(nn7+nn5, sizeof(int)); GBar43[i] = calloc(nn7+nn5, sizeof(int));
1318 for(i=0; i<kk7+kk5; i++)
1319 J43[i] = calloc(kk7+kk5, sizeof(int));
1320 //appendBlockMatrix(GG5, GG7, G47, nn5, nn5, nn7, nn7);
1321 addSubMatrix(GG5, G43, kk5, nn5, 0, 0, 0, 0);
1322 addSubMatrix(GG7, G43, kk7, nn7, 0, 0, kk5, nn5);
1323 addSubMatrix(GG5, G43, nn5-kk5, nn5, kk5, 0, kk5+kk7, 0); // put the out-of-subspace vectors at the end
1324 addSubMatrix(GG7, G43, nn7-kk7, nn7, kk7, 0, kk5+kk7+nn5-kk5, nn7);
1325 //appendBlockMatrix(GGBar5, GGBar7, GBar47, nn5, nn5, nn7, nn7);
1326 addSubMatrix(GGBar5, GBar43, kk5, nn5, 0, 0, 0, 0);
1327 addSubMatrix(GGBar7, GBar43, kk7, nn7, 0, 0, kk5, nn5);
1328 addSubMatrix(GGBar5, GBar43, nn5-kk5, nn5, kk5, 0, kk5+kk7, 0); // put the out-of-subspace vectors at the end
1329 addSubMatrix(GGBar7, GBar43, nn7-kk7, nn7, kk7, 0, kk5+kk7+nn5-kk5, nn7);
1330 appendVector(hh5, hh7, h43, nn5, nn7);
1332 appendVector(DD5, DD7, D43, kk5, kk7);
1333 appendBlockMatrix(JJ5, JJ7, J43, kk5, kk5, kk7, kk7);
1335 // phiprime * phidprime
1336 int n44 = nn7+nn6; int k44 = kk7+kk6; int **G44; int **GBar44; int *h44; int Q44; int *D44; int **J44;
1337 G44 = calloc(nn7+nn6,sizeof(int*));
1338 GBar44 = calloc(nn7+nn6,sizeof(int*));
1339 h44 = calloc(nn7+nn6,sizeof(int));
1340 D44 = calloc(kk7+kk6,sizeof(int));
1341 J44 = calloc(kk7+kk6,sizeof(int*));
1342 for(i=0; i<nn7+nn6; i++) {
1343 G44[i] = calloc(nn7+nn6, sizeof(int)); GBar44[i] = calloc(nn7+nn6, sizeof(int));
1345 for(i=0; i<kk7+kk6; i++)
1346 J44[i] = calloc(kk7+kk6, sizeof(int));
1347 //appendBlockMatrix(GG6, GG7, G48, nn6, nn6, nn7, nn7);
1348 addSubMatrix(GG6, G44, kk6, nn6, 0, 0, 0, 0);
1349 addSubMatrix(GG7, G44, kk7, nn7, 0, 0, kk6, nn6);
1350 addSubMatrix(GG6, G44, nn6-kk6, nn6, kk6, 0, kk6+kk7, 0); // put the out-of-subspace vectors at the end
1351 addSubMatrix(GG7, G44, nn7-kk7, nn7, kk7, 0, kk6+kk7+nn6-kk6, nn7);
1352 //appendBlockMatrix(GGBar6, GGBar7, GBar48, nn6, nn6, nn7, nn7);
1353 addSubMatrix(GGBar6, GBar44, kk6, nn6, 0, 0, 0, 0);
1354 addSubMatrix(GGBar7, GBar44, kk7, nn7, 0, 0, kk6, nn6);
1355 addSubMatrix(GGBar6, GBar44, nn6-kk6, nn6, kk6, 0, kk6+kk7, 0); // put the out-of-subspace vectors at the end
1356 addSubMatrix(GGBar7, GBar44, nn7-kk7, nn7, kk7, 0, kk6+kk7+nn6-kk6, nn7);
1357 appendVector(hh6, hh7, h44, nn6, nn7);
1359 appendVector(DD6, DD7, D44, kk6, kk7);
1360 appendBlockMatrix(JJ6, JJ7, J44, kk6, kk6, kk7, kk7);
1362 // phidprime * phidprime
1363 int n45 = nn7+nn7; int k45 = kk7+kk7; int **G45; int **GBar45; int *h45; int Q45; int *D45; int **J45;
1364 G45 = calloc(nn7+nn7,sizeof(int*));
1365 GBar45 = calloc(nn7+nn7,sizeof(int*));
1366 h45 = calloc(nn7+nn7,sizeof(int));
1367 D45 = calloc(kk7+kk7,sizeof(int));
1368 J45 = calloc(kk7+kk7,sizeof(int*));
1369 for(i=0; i<nn7+nn7; i++) {
1370 G45[i] = calloc(nn7+nn7, sizeof(int)); GBar45[i] = calloc(nn7+nn7, sizeof(int));
1372 for(i=0; i<kk7+kk7; i++)
1373 J45[i] = calloc(kk7+kk7, sizeof(int));
1374 //appendBlockMatrix(GG7, GG7, G49, nn7, nn7, nn7, nn7);
1375 addSubMatrix(GG7, G45, kk7, nn7, 0, 0, 0, 0);
1376 addSubMatrix(GG7, G45, kk7, nn7, 0, 0, kk7, nn7);
1377 addSubMatrix(GG7, G45, nn7-kk7, nn7, kk7, 0, kk7+kk7, 0); // put the out-of-subspace vectors at the end
1378 addSubMatrix(GG7, G45, nn7-kk7, nn7, kk7, 0, kk7+kk7+nn7-kk7, nn7);
1379 //appendBlockMatrix(GGBar7, GGBar7, GBar49, nn7, nn7, nn7, nn7);
1380 addSubMatrix(GGBar7, GBar45, kk7, nn7, 0, 0, 0, 0);
1381 addSubMatrix(GGBar7, GBar45, kk7, nn7, 0, 0, kk7, nn7);
1382 addSubMatrix(GGBar7, GBar45, nn7-kk7, nn7, kk7, 0, kk7+kk7, 0); // put the out-of-subspace vectors at the end
1383 addSubMatrix(GGBar7, GBar45, nn7-kk7, nn7, kk7, 0, kk7+kk7+nn7-kk7, nn7);
1384 appendVector(hh7, hh7, h45, nn7, nn7);
1386 appendVector(DD7, DD7, D45, kk7, kk7);
1387 appendBlockMatrix(JJ7, JJ7, J45, kk7, kk7, kk7, kk7);
1389 // b60 * b66 + b66 * b60
1390 int n46 = 12; int k46 = 11;
1391 int (*(G46[])) = { (int[]) {1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, (int[]) {1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, (int[]) {1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, (int[]) {1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, (int[]) {1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, (int[]) {1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, (int[]) {1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, (int[]) {1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0}, (int[]) {1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0}, (int[]) {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0}, (int[]) {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1}, (int[]) {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}};
1392 int (*(GBar46[])) = { (int[]) {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, (int[]) {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, (int[]) {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, (int[]) {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, (int[]) {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, (int[]) {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, (int[]) {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, (int[]) {0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0}, (int[]) {0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0}, (int[]) {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0}, (int[]) {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1}, (int[]) {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1}};
1393 int h46[] = {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0};
1395 int D46[] = {0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4};
1396 int (*(J46[])) = { (int[]) {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, (int[]) {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, (int[]) {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, (int[]) {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, (int[]) {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, (int[]) {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, (int[]) {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, (int[]) {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, (int[]) {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, (int[]) {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, (int[]) {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}};
1398 // e6 * o6 + e6 * o6
1399 int n47 = 12; int k47 = 11;
1400 int (*(G47[])) = { (int[]) {1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, (int[]) {1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, (int[]) {1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, (int[]) {1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, (int[]) {1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, (int[]) {1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, (int[]) {1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, (int[]) {1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0}, (int[]) {1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0}, (int[]) {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0}, (int[]) {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1}, (int[]) {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}};
1401 int (*(GBar47[])) = { (int[]) {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, (int[]) {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, (int[]) {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, (int[]) {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, (int[]) {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, (int[]) {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, (int[]) {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, (int[]) {0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0}, (int[]) {0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0}, (int[]) {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0}, (int[]) {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1}, (int[]) {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1}};
1402 int h47[] = {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0};
1404 int D47[] = {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0};
1405 int (*(J47[])) = { (int[]) {0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4}, (int[]) {4, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4}, (int[]) {4, 4, 0, 4, 4, 4, 4, 4, 4, 4, 4}, (int[]) {4, 4, 4, 0, 4, 4, 4, 4, 4, 4, 4}, (int[]) {4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 4}, (int[]) {4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4}, (int[]) {4, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4}, (int[]) {4, 4, 4, 4, 4, 4, 4, 0, 4, 4, 4}, (int[]) {4, 4, 4, 4, 4, 4, 4, 4, 0, 4, 4}, (int[]) {4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4}, (int[]) {4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0}};
1409 int *K; int ***G; int ***GBar; int **h; int *Q; int **D; int ***J;
1410 double complex Gamma[(int)pow(47,N/12)]; // prefactor in front of resultant state
1411 G = calloc(pow(47,N/12),sizeof(int*)); GBar = calloc(pow(47,N/12),sizeof(int*));
1412 h = calloc(pow(47,N/12),sizeof(int*));
1414 J = calloc(pow(47,N/12),sizeof(int*)); D = calloc(pow(47,N/12),sizeof(int*)); Q = calloc(pow(47,N/12),sizeof(int));
1416 K = calloc(pow(47,N/12), sizeof(int));
1418 double complex origGamma[(int)pow(47,N/12)];
1419 int *origK, *origQ, **origD;
1421 int ***origG, ***origGBar;
1424 origG = calloc(pow(47,N/12),sizeof(int*)); origGBar = calloc(pow(47,N/12),sizeof(int*));
1425 origh = calloc(pow(47,N/12),sizeof(int*));
1427 origJ = calloc(pow(47,N/12),sizeof(int*)); origD = calloc(pow(47,N/12),sizeof(int*)); origQ = calloc(pow(47,N/12),sizeof(int));
1429 origK = calloc(pow(47,N/12), sizeof(int));
1431 int combination; // a particular combination from the linear combo of stabilizer states making up the tensor factors multiplied together
1434 for(j=0; j<pow(47,N/12); j++) { // there will be 47^(N/12) combinations when using k=12 tensor factors
1440 for(k=0; k<N/12; k++) {
1441 K[j] += (((combination%47)==46)*k47 + ((combination%47)==45)*k46 + ((combination%47)==44)*k45 + ((combination%47)==43)*k44 + ((combination%47)==42)*k43 + ((combination%47)==41)*k42 + ((combination%47)==40)*k41 + ((combination%47)==39)*k40 +
1442 ((combination%47)==38)*k39 + ((combination%47)==37)*k38 + ((combination%47)==36)*k37 + ((combination%47)==35)*k36 + ((combination%47)==34)*k35 + ((combination%47)==33)*k34 + ((combination%47)==32)*k33 + ((combination%47)==31)*k32 + ((combination%47)==30)*k31 + ((combination%47)==29)*k30 +
1443 ((combination%47)==28)*k29 + ((combination%47)==27)*k28 + ((combination%47)==26)*k27 + ((combination%47)==25)*k26 + ((combination%47)==24)*k25 + ((combination%47)==23)*k24 + ((combination%47)==22)*k23 + ((combination%47)==21)*k22 + ((combination%47)==20)*k21 + ((combination%47)==19)*k20 +
1444 ((combination%47)==18)*k19 + ((combination%47)==17)*k18 + ((combination%47)==16)*k17 + ((combination%47)==15)*k16 + ((combination%47)==14)*k15 + ((combination%47)==13)*k14 + ((combination%47)==12)*k13 + ((combination%47)==11)*k12 + ((combination%47)==10)*k11 + ((combination%47)==9)*k10 +
1445 ((combination%47)==8)*k9 + ((combination%47)==7)*k8 + ((combination%47)==6)*k7 + ((combination%47)==5)*k6 + ((combination%47)==4)*k5 + ((combination%47)==3)*k4 + ((combination%47)==2)*k3 + ((combination%47)==1)*k2 + ((combination%47)==0)*k1);
1453 G[j] = calloc(N, sizeof(int*)); GBar[j] = calloc(N, sizeof(int*));
1454 h[j] = calloc(N, sizeof(int));
1457 J[j] = calloc(K[j], sizeof(int*)); D[j] = calloc(K[j], sizeof(int));
1458 for(k=0; k<K[j]; k++)
1459 J[j][k] = calloc(K[j], sizeof(int));
1462 origG[j] = calloc(N, sizeof(int*)); origGBar[j] = calloc(N, sizeof(int*));
1463 origh[j] = calloc(N, sizeof(int));
1466 origJ[j] = calloc(K[j], sizeof(int*)); origD[j] = calloc(K[j], sizeof(int));
1467 for(k=0; k<K[j]; k++)
1468 origJ[j][k] = calloc(K[j], sizeof(int));
1471 for(k=0; k<N; k++) {
1472 G[j][k] = calloc(N, sizeof(int)); GBar[j][k] = calloc(N, sizeof(int));
1473 origG[j][k] = calloc(N, sizeof(int)); origGBar[j][k] = calloc(N, sizeof(int));
1476 int Kcounter = 0; // Kcounter keeps track of the K<=N that we have added already to the G rows etc. for each combination that is indexed by the digits (base 3) of 'j' in that we go through with 'k'
1477 int Kcombo; // Kcombo stores the k<(n1=n2=n3) dimension of the member of the combination that we are currently adding
1478 for(k=0; k<N/12; k++) {
1480 Q[j] += (((combination%47)==46)*Q47 + ((combination%47)==45)*Q46 + ((combination%47)==44)*Q45 + ((combination%47)==43)*Q44 + ((combination%47)==42)*Q43 + ((combination%47)==41)*Q42 + ((combination%47)==40)*Q41 + ((combination%47)==39)*Q40 +
1481 ((combination%47)==38)*Q39 + ((combination%47)==37)*Q38 + ((combination%47)==36)*Q37 + ((combination%47)==35)*Q36 + ((combination%47)==34)*Q35 + ((combination%47)==33)*Q34 + ((combination%47)==32)*Q33 + ((combination%47)==31)*Q32 + ((combination%47)==30)*Q31 + ((combination%47)==29)*Q30 +
1482 ((combination%47)==28)*Q29 + ((combination%47)==27)*Q28 + ((combination%47)==26)*Q27 + ((combination%47)==25)*Q26 + ((combination%47)==24)*Q25 + ((combination%47)==23)*Q24 + ((combination%47)==22)*Q23 + ((combination%47)==21)*Q22 + ((combination%47)==20)*Q21 + ((combination%47)==19)*Q20 +
1483 ((combination%47)==18)*Q19 + ((combination%47)==17)*Q18 + ((combination%47)==16)*Q17 + ((combination%47)==15)*Q16 + ((combination%47)==14)*Q15 + ((combination%47)==13)*Q14 + ((combination%47)==12)*Q13 + ((combination%47)==11)*Q12 + ((combination%47)==10)*Q11 + ((combination%47)==9)*Q10 +
1484 ((combination%47)==8)*Q9 + ((combination%47)==7)*Q8 + ((combination%47)==6)*Q7 + ((combination%47)==5)*Q6 + ((combination%47)==4)*Q5 + ((combination%47)==3)*Q4 + ((combination%47)==2)*Q3 + ((combination%47)==1)*Q2 + ((combination%47)==0)*Q1);
1487 Gamma[j] *= (((combination%47)==46)*coeffe6*coeffo6*sqrt(2.0) + ((combination%47)==45)*coeffb60*coeffb66*sqrt(2.0) + ((combination%47)==44)*coeffphidprime*coeffphidprime + ((combination%47)==43)*coeffphiprime*coeffphidprime + ((combination%47)==42)*coeffk6*coeffphidprime + ((combination%47)==41)*coeffo6*coeffphidprime + ((combination%47)==40)*coeffe6*coeffphidprime + ((combination%47)==39)*coeffb66*coeffphidprime + ((combination%47)==38)*coeffb60*coeffphidprime
1488 + ((combination%47)==37)*coeffphidprime*coeffphiprime + ((combination%47)==36)*coeffphiprime*coeffphiprime + ((combination%47)==35)*coeffk6*coeffphiprime + ((combination%47)==34)*coeffo6*coeffphiprime + ((combination%47)==33)*coeffe6*coeffphiprime + ((combination%47)==32)*coeffb66*coeffphiprime + ((combination%47)==31)*coeffb60*coeffphiprime
1489 + ((combination%47)==30)*coeffphidprime*coeffk6 + ((combination%47)==29)*coeffphiprime*coeffk6 + ((combination%47)==28)*coeffk6*coeffk6 + ((combination%47)==27)*coeffo6*coeffk6 + ((combination%47)==26)*coeffe6*coeffk6 + ((combination%47)==25)*coeffb66*coeffk6 + ((combination%47)==24)*coeffb60*coeffk6
1490 + ((combination%47)==23)*coeffphidprime*coeffo6 + ((combination%47)==22)*coeffphiprime*coeffo6 + ((combination%47)==21)*coeffk6*coeffo6 + ((combination%47)==20)*coeffo6*coeffo6 + ((combination%47)==19)*coeffb66*coeffo6 + ((combination%47)==18)*coeffb60*coeffo6
1491 + ((combination%47)==17)*coeffphidprime*coeffe6 + ((combination%47)==16)*coeffphiprime*coeffe6 + ((combination%47)==15)*coeffk6*coeffe6 + ((combination%47)==14)*coeffe6*coeffe6 + ((combination%47)==13)*coeffb66*coeffe6 + ((combination%47)==12)*coeffb60*coeffe6
1492 + ((combination%47)==11)*coeffphidprime*coeffb66 + ((combination%47)==10)*coeffphiprime*coeffb66 + ((combination%47)==9)*coeffk6*coeffb66 + ((combination%47)==8)*coeffo6*coeffb66 + ((combination%47)==7)*coeffe6*coeffb66 + ((combination%47)==6)*coeffb66*coeffb66
1493 + ((combination%47)==5)*coeffphidprime*coeffb60 + ((combination%47)==4)*coeffphiprime*coeffb60 + ((combination%47)==3)*coeffk6*coeffb60 + ((combination%47)==2)*coeffo6*coeffb60 + ((combination%47)==1)*coeffe6*coeffb60 + ((combination%47)==0)*coeffb60*coeffb60);
1495 Kcombo = (((combination%47)==46)*k47 + ((combination%47)==45)*k46 + ((combination%47)==44)*k45 + ((combination%47)==43)*k44 + ((combination%47)==42)*k43 + ((combination%47)==41)*k42 + ((combination%47)==40)*k41 + ((combination%47)==39)*k40 +
1496 ((combination%47)==38)*k39 + ((combination%47)==37)*k38 + ((combination%47)==36)*k37 + ((combination%47)==35)*k36 + ((combination%47)==34)*k35 + ((combination%47)==33)*k34 + ((combination%47)==32)*k33 + ((combination%47)==31)*k32 + ((combination%47)==30)*k31 + ((combination%47)==29)*k30 +
1497 ((combination%47)==28)*k29 + ((combination%47)==27)*k28 + ((combination%47)==26)*k27 + ((combination%47)==25)*k26 + ((combination%47)==24)*k25 + ((combination%47)==23)*k24 + ((combination%47)==22)*k23 + ((combination%47)==21)*k22 + ((combination%47)==20)*k21 + ((combination%47)==19)*k20 +
1498 ((combination%47)==18)*k19 + ((combination%47)==17)*k18 + ((combination%47)==16)*k17 + ((combination%47)==15)*k16 + ((combination%47)==14)*k15 + ((combination%47)==13)*k14 + ((combination%47)==12)*k13 + ((combination%47)==11)*k12 + ((combination%47)==10)*k11 + ((combination%47)==9)*k10 +
1499 ((combination%47)==8)*k9 + ((combination%47)==7)*k8 + ((combination%47)==6)*k7 + ((combination%47)==5)*k6 + ((combination%47)==4)*k5 + ((combination%47)==3)*k4 + ((combination%47)==2)*k3 + ((combination%47)==1)*k2 + ((combination%47)==0)*k1);
1500 for(l=0; l<Kcombo; l++) {
1501 // D1 has a different number of rows 'l' than D2 and D3 so you need to use something like 'switch' to check combination%3 without going out of bound of J1
1502 switch(combination%47) {
1504 D[j][Kcounter+l] = D1[l];
1507 D[j][Kcounter+l] = D2[l];
1510 D[j][Kcounter+l] = D3[l];
1513 D[j][Kcounter+l] = D4[l];
1516 D[j][Kcounter+l] = D5[l];
1519 D[j][Kcounter+l] = D6[l];
1522 D[j][Kcounter+l] = D7[l];
1525 D[j][Kcounter+l] = D8[l];
1528 D[j][Kcounter+l] = D9[l];
1531 D[j][Kcounter+l] = D10[l];
1534 D[j][Kcounter+l] = D11[l];
1537 D[j][Kcounter+l] = D12[l];
1540 D[j][Kcounter+l] = D13[l];
1543 D[j][Kcounter+l] = D14[l];
1546 D[j][Kcounter+l] = D15[l];
1549 D[j][Kcounter+l] = D16[l];
1552 D[j][Kcounter+l] = D17[l];
1555 D[j][Kcounter+l] = D18[l];
1558 D[j][Kcounter+l] = D19[l];
1561 D[j][Kcounter+l] = D20[l];
1564 D[j][Kcounter+l] = D21[l];
1567 D[j][Kcounter+l] = D22[l];
1570 D[j][Kcounter+l] = D23[l];
1573 D[j][Kcounter+l] = D24[l];
1576 D[j][Kcounter+l] = D25[l];
1579 D[j][Kcounter+l] = D26[l];
1582 D[j][Kcounter+l] = D27[l];
1585 D[j][Kcounter+l] = D28[l];
1588 D[j][Kcounter+l] = D29[l];
1591 D[j][Kcounter+l] = D30[l];
1594 D[j][Kcounter+l] = D31[l];
1597 D[j][Kcounter+l] = D32[l];
1600 D[j][Kcounter+l] = D33[l];
1603 D[j][Kcounter+l] = D34[l];
1606 D[j][Kcounter+l] = D35[l];
1609 D[j][Kcounter+l] = D36[l];
1612 D[j][Kcounter+l] = D37[l];
1615 D[j][Kcounter+l] = D38[l];
1618 D[j][Kcounter+l] = D39[l];
1621 D[j][Kcounter+l] = D40[l];
1624 D[j][Kcounter+l] = D41[l];
1627 D[j][Kcounter+l] = D42[l];
1630 D[j][Kcounter+l] = D43[l];
1633 D[j][Kcounter+l] = D44[l];
1636 D[j][Kcounter+l] = D45[l];
1639 D[j][Kcounter+l] = D46[l];
1642 D[j][Kcounter+l] = D47[l];
1648 for(m=0; m<Kcombo; m++) {
1649 // J1 has a different number of rows 'l' than J2 and J3 so you need to use something like 'switch' to check combination%3 without going out of bound of J1
1650 switch(combination%47) {
1652 J[j][Kcounter+l][Kcounter+m] = J1[l][m];
1655 J[j][Kcounter+l][Kcounter+m] = J2[l][m];
1658 J[j][Kcounter+l][Kcounter+m] = J3[l][m];
1661 J[j][Kcounter+l][Kcounter+m] = J4[l][m];
1664 J[j][Kcounter+l][Kcounter+m] = J5[l][m];
1667 J[j][Kcounter+l][Kcounter+m] = J6[l][m];
1670 J[j][Kcounter+l][Kcounter+m] = J7[l][m];
1673 J[j][Kcounter+l][Kcounter+m] = J8[l][m];
1676 J[j][Kcounter+l][Kcounter+m] = J9[l][m];
1679 J[j][Kcounter+l][Kcounter+m] = J10[l][m];
1682 J[j][Kcounter+l][Kcounter+m] = J11[l][m];
1685 J[j][Kcounter+l][Kcounter+m] = J12[l][m];
1688 J[j][Kcounter+l][Kcounter+m] = J13[l][m];
1691 J[j][Kcounter+l][Kcounter+m] = J14[l][m];
1694 J[j][Kcounter+l][Kcounter+m] = J15[l][m];
1697 J[j][Kcounter+l][Kcounter+m] = J16[l][m];
1700 J[j][Kcounter+l][Kcounter+m] = J17[l][m];
1703 J[j][Kcounter+l][Kcounter+m] = J18[l][m];
1706 J[j][Kcounter+l][Kcounter+m] = J19[l][m];
1709 J[j][Kcounter+l][Kcounter+m] = J20[l][m];
1712 J[j][Kcounter+l][Kcounter+m] = J21[l][m];
1715 J[j][Kcounter+l][Kcounter+m] = J22[l][m];
1718 J[j][Kcounter+l][Kcounter+m] = J23[l][m];
1721 J[j][Kcounter+l][Kcounter+m] = J24[l][m];
1724 J[j][Kcounter+l][Kcounter+m] = J25[l][m];
1727 J[j][Kcounter+l][Kcounter+m] = J26[l][m];
1730 J[j][Kcounter+l][Kcounter+m] = J27[l][m];
1733 J[j][Kcounter+l][Kcounter+m] = J28[l][m];
1736 J[j][Kcounter+l][Kcounter+m] = J29[l][m];
1739 J[j][Kcounter+l][Kcounter+m] = J30[l][m];
1742 J[j][Kcounter+l][Kcounter+m] = J31[l][m];
1745 J[j][Kcounter+l][Kcounter+m] = J32[l][m];
1748 J[j][Kcounter+l][Kcounter+m] = J33[l][m];
1751 J[j][Kcounter+l][Kcounter+m] = J34[l][m];
1754 J[j][Kcounter+l][Kcounter+m] = J35[l][m];
1757 J[j][Kcounter+l][Kcounter+m] = J36[l][m];
1760 J[j][Kcounter+l][Kcounter+m] = J37[l][m];
1763 J[j][Kcounter+l][Kcounter+m] = J38[l][m];
1766 J[j][Kcounter+l][Kcounter+m] = J39[l][m];
1769 J[j][Kcounter+l][Kcounter+m] = J40[l][m];
1772 J[j][Kcounter+l][Kcounter+m] = J41[l][m];
1775 J[j][Kcounter+l][Kcounter+m] = J42[l][m];
1778 J[j][Kcounter+l][Kcounter+m] = J43[l][m];
1781 J[j][Kcounter+l][Kcounter+m] = J44[l][m];
1784 J[j][Kcounter+l][Kcounter+m] = J45[l][m];
1787 J[j][Kcounter+l][Kcounter+m] = J46[l][m];
1790 J[j][Kcounter+l][Kcounter+m] = J47[l][m];
1799 for(l=0; l<n1; l++) { // assuming n1=n2=n3
1800 h[j][k*n1+l] = (((combination%47)==46)*h47[l] + ((combination%47)==45)*h46[l] + ((combination%47)==44)*h45[l] + ((combination%47)==43)*h44[l] + ((combination%47)==42)*h43[l] + ((combination%47)==41)*h42[l] + ((combination%47)==40)*h41[l] + ((combination%47)==39)*h40[l] +
1801 ((combination%47)==38)*h39[l] + ((combination%47)==37)*h38[l] + ((combination%47)==36)*h37[l] + ((combination%47)==35)*h36[l] + ((combination%47)==34)*h35[l] + ((combination%47)==33)*h34[l] + ((combination%47)==32)*h33[l] + ((combination%47)==31)*h32[l] + ((combination%47)==30)*h31[l] + ((combination%47)==29)*h30[l] +
1802 ((combination%47)==28)*h29[l] + ((combination%47)==27)*h28[l] + ((combination%47)==26)*h27[l] + ((combination%47)==25)*h26[l] + ((combination%47)==24)*h25[l] + ((combination%47)==23)*h24[l] + ((combination%47)==22)*h23[l] + ((combination%47)==21)*h22[l] + ((combination%47)==20)*h21[l] + ((combination%47)==19)*h20[l] +
1803 ((combination%47)==18)*h19[l] + ((combination%47)==17)*h18[l] + ((combination%47)==16)*h17[l] + ((combination%47)==15)*h16[l] + ((combination%47)==14)*h15[l] + ((combination%47)==13)*h14[l] + ((combination%47)==12)*h13[l] + ((combination%47)==11)*h12[l] + ((combination%47)==10)*h11[l] + ((combination%47)==9)*h10[l] +
1804 ((combination%47)==8)*h9[l] + ((combination%47)==7)*h8[l] + ((combination%47)==6)*h7[l] + ((combination%47)==5)*h6[l] + ((combination%47)==4)*h5[l] + ((combination%47)==3)*h4[l] + ((combination%47)==2)*h3[l] + ((combination%47)==1)*h2[l] + ((combination%47)==0)*h1[l]);
1806 // only filling the K[j] first rows of G and GBar here corresponding to the basis for D and J
1807 for(l=0; l<Kcombo; l++) {
1808 for(m=0; m<n1; m++) { // assuming n1=n2=n3
1809 G[j][Kcounter+l][k*n1+m] = (((combination%47)==46)*G47[l][m] + ((combination%47)==45)*G46[l][m] + ((combination%47)==44)*G45[l][m] + ((combination%47)==43)*G44[l][m] + ((combination%47)==42)*G43[l][m] + ((combination%47)==41)*G42[l][m] + ((combination%47)==40)*G41[l][m] + ((combination%47)==39)*G40[l][m] +
1810 ((combination%47)==38)*G39[l][m] + ((combination%47)==37)*G38[l][m] + ((combination%47)==36)*G37[l][m] + ((combination%47)==35)*G36[l][m] + ((combination%47)==34)*G35[l][m] + ((combination%47)==33)*G34[l][m] + ((combination%47)==32)*G33[l][m] + ((combination%47)==31)*G32[l][m] + ((combination%47)==30)*G31[l][m] + ((combination%47)==29)*G30[l][m] +
1811 ((combination%47)==28)*G29[l][m] + ((combination%47)==27)*G28[l][m] + ((combination%47)==26)*G27[l][m] + ((combination%47)==25)*G26[l][m] + ((combination%47)==24)*G25[l][m] + ((combination%47)==23)*G24[l][m] + ((combination%47)==22)*G23[l][m] + ((combination%47)==21)*G22[l][m] + ((combination%47)==20)*G21[l][m] + ((combination%47)==19)*G20[l][m] +
1812 ((combination%47)==18)*G19[l][m] + ((combination%47)==17)*G18[l][m] + ((combination%47)==16)*G17[l][m] + ((combination%47)==15)*G16[l][m] + ((combination%47)==14)*G15[l][m] + ((combination%47)==13)*G14[l][m] + ((combination%47)==12)*G13[l][m] + ((combination%47)==11)*G12[l][m] + ((combination%47)==10)*G11[l][m] + ((combination%47)==9)*G10[l][m] +
1813 ((combination%47)==8)*G9[l][m] + ((combination%47)==7)*G8[l][m] + ((combination%47)==6)*G7[l][m] + ((combination%47)==5)*G6[l][m] + ((combination%47)==4)*G5[l][m] + ((combination%47)==3)*G4[l][m] + ((combination%47)==2)*G3[l][m] + ((combination%47)==1)*G2[l][m] + ((combination%47)==0)*G1[l][m]);
1814 GBar[j][Kcounter+l][k*n1+m] = (((combination%47)==46)*GBar47[l][m] + ((combination%47)==45)*GBar46[l][m] + ((combination%47)==44)*GBar45[l][m] + ((combination%47)==43)*GBar44[l][m] + ((combination%47)==42)*GBar43[l][m] + ((combination%47)==41)*GBar42[l][m] + ((combination%47)==40)*GBar41[l][m] + ((combination%47)==39)*GBar40[l][m] +
1815 ((combination%47)==38)*GBar39[l][m] + ((combination%47)==37)*GBar38[l][m] + ((combination%47)==36)*GBar37[l][m] + ((combination%47)==35)*GBar36[l][m] + ((combination%47)==34)*GBar35[l][m] + ((combination%47)==33)*GBar34[l][m] + ((combination%47)==32)*GBar33[l][m] + ((combination%47)==31)*GBar32[l][m] + ((combination%47)==30)*GBar31[l][m] + ((combination%47)==29)*GBar30[l][m] +
1816 ((combination%47)==28)*GBar29[l][m] + ((combination%47)==27)*GBar28[l][m] + ((combination%47)==26)*GBar27[l][m] + ((combination%47)==25)*GBar26[l][m] + ((combination%47)==24)*GBar25[l][m] + ((combination%47)==23)*GBar24[l][m] + ((combination%47)==22)*GBar23[l][m] + ((combination%47)==21)*GBar22[l][m] + ((combination%47)==20)*GBar21[l][m] + ((combination%47)==19)*GBar20[l][m] +
1817 ((combination%47)==18)*GBar19[l][m] + ((combination%47)==17)*GBar18[l][m] + ((combination%47)==16)*GBar17[l][m] + ((combination%47)==15)*GBar16[l][m] + ((combination%47)==14)*GBar15[l][m] + ((combination%47)==13)*GBar14[l][m] + ((combination%47)==12)*GBar13[l][m] + ((combination%47)==11)*GBar12[l][m] + ((combination%47)==10)*GBar11[l][m] + ((combination%47)==9)*GBar10[l][m] +
1818 ((combination%47)==8)*GBar9[l][m] + ((combination%47)==7)*GBar8[l][m] + ((combination%47)==6)*GBar7[l][m] + ((combination%47)==5)*GBar6[l][m] + ((combination%47)==4)*GBar5[l][m] + ((combination%47)==3)*GBar4[l][m] + ((combination%47)==2)*GBar3[l][m] + ((combination%47)==1)*GBar2[l][m] + ((combination%47)==0)*GBar1[l][m]);
1821 Kcounter = Kcounter + Kcombo;
1823 /* printf("intermediate G[%d]:\n", j); */
1824 /* printMatrix(G[j], N, N); */
1825 /* printf("intermediate GBar[%d]:\n", j); */
1826 /* printMatrix(GBar[j], N, N); */
1827 //memcpy(origG[j][k], G[j][k], N*sizeof(int)); memcpy(origGBar[j][k], GBar[j][k], N*sizeof(int));
1829 //memcpy(origJ[j][k], J[j][k], K[j]*sizeof(int));
1831 combination /= 47; // shift to the right by one (in base-47 arithmetic)
1835 // now need to fill the N-Kcounter remaining rows of G and GBar that are outside the spanning basis states of D and J
1837 for(k=0; k<(N/12); k++) {
1838 Kcombo = (((combination%47)==46)*k47 + ((combination%47)==45)*k46 + ((combination%47)==44)*k45 + ((combination%47)==43)*k44 + ((combination%47)==42)*k43 + ((combination%47)==41)*k42 + ((combination%47)==40)*k41 + ((combination%47)==39)*k40 +
1839 ((combination%47)==38)*k39 + ((combination%47)==37)*k38 + ((combination%47)==36)*k37 + ((combination%47)==35)*k36 + ((combination%47)==34)*k35 + ((combination%47)==33)*k34 + ((combination%47)==32)*k33 + ((combination%47)==31)*k32 + ((combination%47)==30)*k31 + ((combination%47)==29)*k30 +
1840 ((combination%47)==28)*k29 + ((combination%47)==27)*k28 + ((combination%47)==26)*k27 + ((combination%47)==25)*k26 + ((combination%47)==24)*k25 + ((combination%47)==23)*k24 + ((combination%47)==22)*k23 + ((combination%47)==21)*k22 + ((combination%47)==20)*k21 + ((combination%47)==19)*k20 +
1841 ((combination%47)==18)*k19 + ((combination%47)==17)*k18 + ((combination%47)==16)*k17 + ((combination%47)==15)*k16 + ((combination%47)==14)*k15 + ((combination%47)==13)*k14 + ((combination%47)==12)*k13 + ((combination%47)==11)*k12 + ((combination%47)==10)*k11 + ((combination%47)==9)*k10 +
1842 ((combination%47)==8)*k9 + ((combination%47)==7)*k8 + ((combination%47)==6)*k7 + ((combination%47)==5)*k6 + ((combination%47)==4)*k5 + ((combination%47)==3)*k4 + ((combination%47)==2)*k3 + ((combination%47)==1)*k2 + ((combination%47)==0)*k1);
1843 //printf("Kcounter=%d\n", Kcounter);
1844 // G and GBar rows that are outside the first 'k' spanning basis states
1845 for(l=Kcombo; l<n1; l++) { // assuming n1=n2=n3
1846 //printf("l=%d\n", l);
1847 for(m=0; m<n1; m++) { // assuming n1=n2=n3
1848 /* printf("m=%d\n", m); */
1849 /* printf("Kcounter+l=%d\n", Kcounter+l); */
1850 /* printf("k*n1+m=%d\n", k*n1+m); */
1851 G[j][Kcounter+l-Kcombo][k*n1+m] = (((combination%47)==46)*G47[l][m] + ((combination%47)==45)*G46[l][m] + ((combination%47)==44)*G45[l][m] + ((combination%47)==43)*G44[l][m] + ((combination%47)==42)*G43[l][m] + ((combination%47)==41)*G42[l][m] + ((combination%47)==40)*G41[l][m] + ((combination%47)==39)*G40[l][m] +
1852 ((combination%47)==38)*G39[l][m] + ((combination%47)==37)*G38[l][m] + ((combination%47)==36)*G37[l][m] + ((combination%47)==35)*G36[l][m] + ((combination%47)==34)*G35[l][m] + ((combination%47)==33)*G34[l][m] + ((combination%47)==32)*G33[l][m] + ((combination%47)==31)*G32[l][m] + ((combination%47)==30)*G31[l][m] + ((combination%47)==29)*G30[l][m] +
1853 ((combination%47)==28)*G29[l][m] + ((combination%47)==27)*G28[l][m] + ((combination%47)==26)*G27[l][m] + ((combination%47)==25)*G26[l][m] + ((combination%47)==24)*G25[l][m] + ((combination%47)==23)*G24[l][m] + ((combination%47)==22)*G23[l][m] + ((combination%47)==21)*G22[l][m] + ((combination%47)==20)*G21[l][m] + ((combination%47)==19)*G20[l][m] +
1854 ((combination%47)==18)*G19[l][m] + ((combination%47)==17)*G18[l][m] + ((combination%47)==16)*G17[l][m] + ((combination%47)==15)*G16[l][m] + ((combination%47)==14)*G15[l][m] + ((combination%47)==13)*G14[l][m] + ((combination%47)==12)*G13[l][m] + ((combination%47)==11)*G12[l][m] + ((combination%47)==10)*G11[l][m] + ((combination%47)==9)*G10[l][m] +
1855 ((combination%47)==8)*G9[l][m] + ((combination%47)==7)*G8[l][m] + ((combination%47)==6)*G7[l][m] + ((combination%47)==5)*G6[l][m] + ((combination%47)==4)*G5[l][m] + ((combination%47)==3)*G4[l][m] + ((combination%47)==2)*G3[l][m] + ((combination%47)==1)*G2[l][m] + ((combination%47)==0)*G1[l][m]);
1856 GBar[j][Kcounter+l-Kcombo][k*n1+m] = (((combination%47)==46)*GBar47[l][m] + ((combination%47)==45)*GBar46[l][m] + ((combination%47)==44)*GBar45[l][m] + ((combination%47)==43)*GBar44[l][m] + ((combination%47)==42)*GBar43[l][m] + ((combination%47)==41)*GBar42[l][m] + ((combination%47)==40)*GBar41[l][m] + ((combination%47)==39)*GBar40[l][m] +
1857 ((combination%47)==38)*GBar39[l][m] + ((combination%47)==37)*GBar38[l][m] + ((combination%47)==36)*GBar37[l][m] + ((combination%47)==35)*GBar36[l][m] + ((combination%47)==34)*GBar35[l][m] + ((combination%47)==33)*GBar34[l][m] + ((combination%47)==32)*GBar33[l][m] + ((combination%47)==31)*GBar32[l][m] + ((combination%47)==30)*GBar31[l][m] + ((combination%47)==29)*GBar30[l][m] +
1858 ((combination%47)==28)*GBar29[l][m] + ((combination%47)==27)*GBar28[l][m] + ((combination%47)==26)*GBar27[l][m] + ((combination%47)==25)*GBar26[l][m] + ((combination%47)==24)*GBar25[l][m] + ((combination%47)==23)*GBar24[l][m] + ((combination%47)==22)*GBar23[l][m] + ((combination%47)==21)*GBar22[l][m] + ((combination%47)==20)*GBar21[l][m] + ((combination%47)==19)*GBar20[l][m] +
1859 ((combination%47)==18)*GBar19[l][m] + ((combination%47)==17)*GBar18[l][m] + ((combination%47)==16)*GBar17[l][m] + ((combination%47)==15)*GBar16[l][m] + ((combination%47)==14)*GBar15[l][m] + ((combination%47)==13)*GBar14[l][m] + ((combination%47)==12)*GBar13[l][m] + ((combination%47)==11)*GBar12[l][m] + ((combination%47)==10)*GBar11[l][m] + ((combination%47)==9)*GBar10[l][m] +
1860 ((combination%47)==8)*GBar9[l][m] + ((combination%47)==7)*GBar8[l][m] + ((combination%47)==6)*GBar7[l][m] + ((combination%47)==5)*GBar6[l][m] + ((combination%47)==4)*GBar5[l][m] + ((combination%47)==3)*GBar4[l][m] + ((combination%47)==2)*GBar3[l][m] + ((combination%47)==1)*GBar2[l][m] + ((combination%47)==0)*GBar1[l][m]);
1863 Kcounter = Kcounter + (n1-Kcombo);
1865 /* printf("intermediate G[%d]:\n", j); */
1866 /* printMatrix(G[j], N, N); */
1867 /* printf("intermediate GBar[%d]:\n", j); */
1868 /* printMatrix(GBar[j], N, N); */
1872 for(k=0; k<N; k++) {
1873 memcpy(origG[j][k], G[j][k], N*sizeof(int)); memcpy(origGBar[j][k], GBar[j][k], N*sizeof(int));
1875 for(k=0; k<K[j]; k++) {
1876 memcpy(origJ[j][k], J[j][k], K[j]*sizeof(int));
1879 memcpy(origh[j], h[j], N*sizeof(int));
1880 memcpy(origD[j], D[j], K[j]*sizeof(int));
1882 /*printf("G[%d]:\n", j);
1883 printMatrix(G[j], N, N);
1884 printf("GBar[%d]:\n", j);
1885 printMatrix(GBar[j], N, N);
1887 printf("h[%d]:\n", j);
1888 printVector(h[j], N);
1890 printf("J[%d]:\n", j);
1891 printMatrix(J[j], K[j], K[j]);
1893 printf("D[%d]:\n", j);
1894 printVector(D[j], K[j]);
1896 printf("Q[%d]=%d\n", j, Q[j]);*/
1900 memcpy(origGamma, Gamma, pow(47,N/12)*sizeof(double complex));
1902 memcpy(origQ, Q, pow(47,N/12)*sizeof(int));
1904 while(readPaulicoeffs(&omega, alpha, beta, gamma, delta, N)) {
1907 if(Paulicounter > N) {
1908 printf("Error: Number of Paulis is greater than N!\n");
1912 // Let's break up the Ys into Xs and Zs in the order Z X, as required to pass to measurepauli()
1914 for(i=0; i<N; i++) {
1916 omega += 3; // -I = I^3
1918 gamma[i] = delta[i];
1922 /*printf("*******\n");
1923 printf("*******\n");
1924 printf("omega=%d\n", omega);
1926 printVector(gamma, N);
1928 printVector(beta, N);
1929 printf("*******\n");
1930 printf("*******\n");*/
1932 for(j=0; j<pow(47,N/12); j++) { // the kets
1934 /*printf("========\n");
1935 printf("before:\n");
1936 printf("K=%d\n", K[j]);
1938 printVector(h[j], N);
1939 printf("Gamma[%d]=%lf+%lf\n", j, creal(Gamma[j]), cimag(Gamma[j]));
1941 printMatrix(G[j], N, N);
1943 printMatrix(GBar[j], N, N);
1944 printf("Q=%d\n", Q[j]);
1946 printVector(D[j], K[j]);
1948 printMatrix(J[j], K[j], K[j]);*/
1949 Gamma[j] *= measurepauli(N, &K[j], h[j], G[j], GBar[j], &Q[j], &D[j], &J[j], omega, gamma, beta);
1950 /*printf("\nafter:\n");
1951 printf("K=%d\n", K[j]);
1953 printVector(h[j], N);
1954 printf("Gamma[%d]=%lf+%lf\n", j, creal(Gamma[j]), cimag(Gamma[j]));
1956 printMatrix(G[j], N, N);
1958 printMatrix(GBar[j], N, N);
1959 printf("Q=%d\n", Q[j]);
1961 printVector(D[j], K[j]);
1963 printMatrix(J[j], K[j], K[j]);*/
1969 double complex amplitude = 0.0 + 0.0*I;
1970 for(i=0; i<pow(47,N/12); i++) { // the bras
1971 printf("i=%d\n", i);
1972 for(j=0; j<pow(47,N/12); j++) {
1973 double complex newamplitude = innerproduct(N, K[j], h[j], G[j], GBar[j], Q[j], D[j], J[j], N, origK[i], origh[i], origG[i], origGBar[i], origQ[i], origD[i], origJ[i]);
1974 amplitude = amplitude + conj(origGamma[i])*Gamma[j]*newamplitude;
1978 printf("amplitude:\n");
1979 if(creal(amplitude+ZEROTHRESHOLD)>0)
1980 printf("%.10lf %c %.10lf I\n", cabs(creal(amplitude)), cimag(amplitude+ZEROTHRESHOLD)>0?'+':'-' , cabs(cimag(amplitude)));
1982 printf("%.10lf %c %.10lf I\n", creal(amplitude), cimag(amplitude+ZEROTHRESHOLD)>0?'+':'-' , cabs(cimag(amplitude)));
1990 int readPaulicoeffs(int *omega, int *alpha, int *beta, int *gamma, int *delta, int numqubits)
1993 int newomega, newalpha, newbeta, newgamma, newdelta;
1996 if(scanf("%d", &newomega) != EOF) {
1998 for(i=0; i<numqubits; i++) {
1999 if(scanf("%d %d %d %d", &newalpha, &newbeta, &newgamma, &newdelta) == EOF) {
2000 printf("Error: Too few input coeffs!\n");
2003 if(newalpha+newbeta+newgamma+newdelta > 1) {
2004 printf("Error: Too many coefficients are non-zero at Pauli %d!\n", i);
2007 alpha[i] = newalpha; beta[i] = newbeta; gamma[i] = newgamma; delta[i] = newdelta;