float Area( int p1,int p2,int p3 ){ return (Minor2(p2,p3)+Minor2(p3,p1)+Minor2(p1,p2))/2; };
SoS_primitive_result* sos_lambda5 (int i, int j, int k, int l, int m) /* Returns significant term of Lambda5 epsilon-determinant. Assumes indices in proper range, pairwise different, and sorted. */ { #ifdef __DEBUG__ if (sos_proto_e_flag) { lia_clear (); print ("sos_lambda5 (%d,%d,%d,%d,%d)", i, j, k, l, m); print (" ("); print ("%s,%s,%s,%s,1;", Pi(i,1), Pi(i,2), Pi(i,3), Pi(i,4)); print ("%s,%s,%s,%s,1;", Pi(j,1), Pi(j,2), Pi(j,3), Pi(j,4)); print ("%s,%s,%s,%s,1;", Pi(k,1), Pi(k,2), Pi(k,3), Pi(k,4)); print ("%s,%s,%s,%s,1;", Pi(l,1), Pi(l,2), Pi(l,3), Pi(l,4)); print ("%s,%s,%s,%s,1;", Pi(m,1), Pi(m,2), Pi(m,3), Pi(m,4)); print (")\n"); } #endif /* C code generated by 'ccode' from 'gee' file "Lambda5.out" */ Initialize (); Epsilon_Term (0); Positive_Coefficient (Minor5 (i, j, k, l, m, 1, 2, 3, 4, 0)); Epsilon_Term (1); Epsilon (i,4); Negative_Coefficient (Minor4 (j, k, l, m, 1, 2, 3, 0)); Epsilon_Term (2); Epsilon (i,3); Positive_Coefficient (Minor4 (j, k, l, m, 1, 2, 4, 0)); Epsilon_Term (3); Epsilon (i,2); Negative_Coefficient (Minor4 (j, k, l, m, 1, 3, 4, 0)); Epsilon_Term (4); Epsilon (i,1); Positive_Coefficient (Minor4 (j, k, l, m, 2, 3, 4, 0)); Epsilon_Term (5); Epsilon (j,4); Positive_Coefficient (Minor4 (i, k, l, m, 1, 2, 3, 0)); Epsilon_Term (6); Epsilon (j,4); Epsilon (i,3); Positive_Coefficient (Minor3 (k, l, m, 1, 2, 0)); Epsilon_Term (7); Epsilon (j,4); Epsilon (i,2); Negative_Coefficient (Minor3 (k, l, m, 1, 3, 0)); Epsilon_Term (8); Epsilon (j,4); Epsilon (i,1); Positive_Coefficient (Minor3 (k, l, m, 2, 3, 0)); Epsilon_Term (9); Epsilon (j,3); Negative_Coefficient (Minor4 (i, k, l, m, 1, 2, 4, 0)); Epsilon_Term (10); Epsilon (j,3); Epsilon (i,2); Positive_Coefficient (Minor3 (k, l, m, 1, 4, 0)); Epsilon_Term (11); Epsilon (j,3); Epsilon (i,1); Negative_Coefficient (Minor3 (k, l, m, 2, 4, 0)); Epsilon_Term (12); Epsilon (j,2); Positive_Coefficient (Minor4 (i, k, l, m, 1, 3, 4, 0)); Epsilon_Term (13); Epsilon (j,2); Epsilon (i,1); Positive_Coefficient (Minor3 (k, l, m, 3, 4, 0)); Epsilon_Term (14); Epsilon (j,1); Negative_Coefficient (Minor4 (i, k, l, m, 2, 3, 4, 0)); Epsilon_Term (15); Epsilon (k,4); Negative_Coefficient (Minor4 (i, j, l, m, 1, 2, 3, 0)); Epsilon_Term (16); Epsilon (k,4); Epsilon (i,3); Negative_Coefficient (Minor3 (j, l, m, 1, 2, 0)); Epsilon_Term (17); Epsilon (k,4); Epsilon (i,2); Positive_Coefficient (Minor3 (j, l, m, 1, 3, 0)); Epsilon_Term (18); Epsilon (k,4); Epsilon (i,1); Negative_Coefficient (Minor3 (j, l, m, 2, 3, 0)); Epsilon_Term (19); Epsilon (k,4); Epsilon (j,3); Positive_Coefficient (Minor3 (i, l, m, 1, 2, 0)); Epsilon_Term (20); Epsilon (k,4); Epsilon (j,3); Epsilon (i,2); Negative_Coefficient (Minor2 (l, m, 1, 0)); Epsilon_Term (21); Epsilon (k,4); Epsilon (j,3); Epsilon (i,1); Positive_Coefficient (Minor2 (l, m, 2, 0)); Epsilon_Term (22); Epsilon (k,4); Epsilon (j,2); Negative_Coefficient (Minor3 (i, l, m, 1, 3, 0)); Epsilon_Term (23); Epsilon (k,4); Epsilon (j,2); Epsilon (i,1); Negative_Coefficient (Minor2 (l, m, 3, 0)); Epsilon_Term (24); Epsilon (k,4); Epsilon (j,1); Positive_Coefficient (Minor3 (i, l, m, 2, 3, 0)); Epsilon_Term (25); Epsilon (k,3); Positive_Coefficient (Minor4 (i, j, l, m, 1, 2, 4, 0)); Epsilon_Term (26); Epsilon (k,3); Epsilon (i,2); Negative_Coefficient (Minor3 (j, l, m, 1, 4, 0)); Epsilon_Term (27); Epsilon (k,3); Epsilon (i,1); Positive_Coefficient (Minor3 (j, l, m, 2, 4, 0)); Epsilon_Term (28); Epsilon (k,3); Epsilon (j,2); Positive_Coefficient (Minor3 (i, l, m, 1, 4, 0)); Epsilon_Term (29); Epsilon (k,3); Epsilon (j,2); Epsilon (i,1); Positive_Coefficient (Minor2 (l, m, 4, 0)); Epsilon_Term (30); Epsilon (k,3); Epsilon (j,1); Negative_Coefficient (Minor3 (i, l, m, 2, 4, 0)); Epsilon_Term (31); Epsilon (k,2); Negative_Coefficient (Minor4 (i, j, l, m, 1, 3, 4, 0)); Epsilon_Term (32); Epsilon (k,2); Epsilon (i,1); Negative_Coefficient (Minor3 (j, l, m, 3, 4, 0)); Epsilon_Term (33); Epsilon (k,2); Epsilon (j,1); Positive_Coefficient (Minor3 (i, l, m, 3, 4, 0)); Epsilon_Term (34); Epsilon (k,1); Positive_Coefficient (Minor4 (i, j, l, m, 2, 3, 4, 0)); Epsilon_Term (35); Epsilon (l,4); Positive_Coefficient (Minor4 (i, j, k, m, 1, 2, 3, 0)); Epsilon_Term (36); Epsilon (l,4); Epsilon (i,3); Positive_Coefficient (Minor3 (j, k, m, 1, 2, 0)); Epsilon_Term (37); Epsilon (l,4); Epsilon (i,2); Negative_Coefficient (Minor3 (j, k, m, 1, 3, 0)); Epsilon_Term (38); Epsilon (l,4); Epsilon (i,1); Positive_Coefficient (Minor3 (j, k, m, 2, 3, 0)); Epsilon_Term (39); Epsilon (l,4); Epsilon (j,3); Negative_Coefficient (Minor3 (i, k, m, 1, 2, 0)); Epsilon_Term (40); Epsilon (l,4); Epsilon (j,3); Epsilon (i,2); Positive_Coefficient (Minor2 (k, m, 1, 0)); Epsilon_Term (41); Epsilon (l,4); Epsilon (j,3); Epsilon (i,1); Negative_Coefficient (Minor2 (k, m, 2, 0)); Epsilon_Term (42); Epsilon (l,4); Epsilon (j,2); Positive_Coefficient (Minor3 (i, k, m, 1, 3, 0)); Epsilon_Term (43); Epsilon (l,4); Epsilon (j,2); Epsilon (i,1); Positive_Coefficient (Minor2 (k, m, 3, 0)); Epsilon_Term (44); Epsilon (l,4); Epsilon (j,1); Negative_Coefficient (Minor3 (i, k, m, 2, 3, 0)); Epsilon_Term (45); Epsilon (l,4); Epsilon (k,3); Positive_Coefficient (Minor3 (i, j, m, 1, 2, 0)); Epsilon_Term (46); Epsilon (l,4); Epsilon (k,3); Epsilon (i,2); Negative_Coefficient (Minor2 (j, m, 1, 0)); Epsilon_Term (47); Epsilon (l,4); Epsilon (k,3); Epsilon (i,1); Positive_Coefficient (Minor2 (j, m, 2, 0)); Epsilon_Term (48); Epsilon (l,4); Epsilon (k,3); Epsilon (j,2); Positive_Coefficient (Minor2 (i, m, 1, 0)); Epsilon_Term (49); Epsilon (l,4); Epsilon (k,3); Epsilon (j,2); Epsilon (i,1); Coefficient (Integer (1)); Finish (); }