October 21 2008 8:30:51.724 AM TEST_CON_PRB FORTRAN90 version Sample problems for TEST_CON, a collection of nonlinear test functions for continuation. There are 20 test functions. P00_OPTION_NUM_TEST List the number of options for each problem. Problem Options 1 6 2 3 3 4 4 1 5 3 6 5 7 1 8 1 9 13 10 2 11 2 12 6 13 6 14 1 15 1 16 1 17 2 18 1 19 1 20 1 P00_TITLE_TEST List the problem title Problem Option Title 1 1 Freudenstein-Roth function, (15,-2,0). 1 2 Freudenstein-Roth function, (15,-2,0), x1 limits. 1 3 Freudenstein-Roth function, (15,-2,0), x3 limits. 1 4 Freudenstein-Roth function, (4,3,0). 1 5 Freudenstein-Roth function, (4,3,0), x1 limits. 1 6 Freudenstein-Roth function, (4,3,0), x3 limits. 2 1 Boggs function, (1,0,0). 2 2 Boggs function, (1,-1,0). 2 3 Boggs function, (10,10,0). 3 1 Powell function, (3,6,0). 3 2 Powell function, (4,5,0). 3 3 Powell function, (6,3,0). 3 4 Powell function, (1,1,0). 4 1 Broyden function 5 1 Wacker function, A = 0.1. 5 2 Wacker function, A = 0.5. 5 3 Wacker function, A = 1.0. 6 1 Aircraft function, x(6) = - 0.050. 6 2 Aircraft function, x(6) = - 0.008. 6 3 Aircraft function, x(6) = 0.000. 6 4 Aircraft function, x(6) = + 0.050. 6 5 Aircraft function, x(6) = + 0.100. 7 1 Cell kinetics problem, seeking limit points. 8 1 Riks mechanical problem, seeking limit points. 9 1 Oden problem, VAL=0.00, Target X(1)=4.0, Limits in X(1). 9 2 Oden problem, VAL=0.25, Target X(1)=4.0, Limits in X(1). 9 3 Oden problem, VAL=0.50, Target X(1)=4.0, Limits in X(1). 9 4 Oden problem, VAL=1.00, Target X(1)=4.0, Limits in X(1). 9 5 Oden problem, VAL=0.00, Target X(1)=4.0, Limits in X(2). 9 6 Oden problem, VAL=0.25, Target X(1)=4.0, Limits in X(2). 9 7 Oden problem, VAL=0.50, Target X(1)=4.0, Limits in X(2). 9 8 Oden problem, VAL=1.00, Target X(1)=4.0, Limits in X(2). 9 9 Oden problem, VAL=0.00, Target X(1)=4.0, Limits in X(3). 9 10 Oden problem, VAL=0.25, Target X(1)=4.0, Limits in X(3). 9 11 Oden problem, VAL=0.50, Target X(1)=4.0, Limits in X(3). 9 12 Oden problem, VAL=1.00, Target X(1)=4.0, Limits in X(3). 9 13 Oden problem, VAL=0.00, no targets, no limits. 10 1 Torsion of a square rod, finite difference, PHI(S)=EXP(5*S). 10 2 Torsion of a square rod, finite difference, PHI(S)=two levels. 11 1 Torsion of a square rod, finite element solution. 11 2 Torsion of a square rod, finite element solution. 12 1 Materially nonlinear problem, NPOLYS = 2, NDERIV = 1. 12 2 Materially nonlinear problem, NPOLYS = 4, NDERIV = 1. 12 3 Materially nonlinear problem, NPOLYS = 4, NDERIV = 2. 12 4 Materially nonlinear problem, NPOLYS = 6, NDERIV = 1. 12 5 Materially nonlinear problem, NPOLYS = 6, NDERIV = 2. 12 6 Materially nonlinear problem, NPOLYS = 6, NDERIV = 3. 13 1 Simpson's BVP, F(U) = EXP(U), M = 8. 13 2 Simpson's BVP, F(U) = function 2, M = 8. 13 3 Simpson's BVP, F(U) = EXP(U), M = 12. 13 4 Simpson's BVP, F(U) = function 2, M = 12. 13 5 Simpson's BVP, F(U) = EXP(U), M = 16. 13 6 Simpson's BVP, F(U) = function 2, M = 16. 14 1 Keller's BVP. 15 1 The Trigger Circuit. 16 1 The Moore Spence Chemical Reaction Integral Equation. 17 1 Bremermann Propane Combustion System, fixed pressure. 17 2 Bremermann Propane Combustion System, fixed concentration. 18 1 The Semiconductor Problem. 19 1 Nitric Acid Absorption Flash. 20 1 The Buckling Spring, F(L,Theta,Lambda,Mu). P00_NVAR_TEST List the problem size. Problem Option Size 1 1 3 1 2 3 1 3 3 1 4 3 1 5 3 1 6 3 2 1 3 2 2 3 2 3 3 3 1 3 3 2 3 3 3 3 3 4 3 4 1 3 5 1 4 5 2 4 5 3 4 6 1 8 6 2 8 6 3 8 6 4 8 6 5 8 7 1 6 8 1 6 9 1 4 9 2 4 9 3 4 9 4 4 9 5 4 9 6 4 9 7 4 9 8 4 9 9 4 9 10 4 9 11 4 9 12 4 9 13 4 10 1 37 10 2 37 11 1 26 11 2 26 12 1 26 12 2 42 12 3 49 12 4 58 12 5 65 12 6 72 13 1 65 13 2 65 13 3 145 13 4 145 13 5 257 13 6 257 14 1 13 15 1 7 16 1 17 17 1 12 17 2 12 18 1 12 19 1 13 20 1 4 P00_START_TEST Get norms of starting point X0 and F(X0) Problem Option ||X0|| || F(X0)|| 1 1 15.1327 0.00000 1 2 15.1327 0.00000 1 3 15.1327 0.00000 1 4 5.00000 0.00000 1 5 5.00000 0.00000 1 6 5.00000 0.00000 2 1 1.00000 0.00000 2 2 1.41421 0.00000 2 3 14.1421 0.00000 3 1 6.70820 0.00000 3 2 6.40312 0.00000 3 3 6.70820 0.00000 3 4 1.41421 0.00000 4 1 3.02655 0.00000 5 1 0.00000 0.00000 5 2 0.00000 0.00000 5 3 0.00000 0.00000 6 1 0.931455E-01 0.218724E-07 6 2 0.149023E-01 0.202128E-13 6 3 0.00000 0.00000 6 4 0.931395E-01 0.226351E-11 6 5 0.186279 0.880547E-10 7 1 0.00000 0.00000 8 1 0.00000 0.00000 9 1 0.00000 0.00000 9 2 0.250000 0.00000 9 3 0.500000 0.00000 9 4 1.00000 0.00000 9 5 0.00000 0.00000 9 6 0.250000 0.00000 9 7 0.500000 0.00000 9 8 1.00000 0.00000 9 9 0.00000 0.00000 9 10 0.250000 0.00000 9 11 0.500000 0.00000 9 12 1.00000 0.00000 9 13 0.00000 0.00000 10 1 0.00000 0.00000 10 2 0.00000 0.00000 11 1 0.00000 0.00000 11 2 0.00000 0.00000 12 1 0.00000 0.00000 12 2 0.00000 0.00000 12 3 0.00000 0.00000 12 4 0.00000 0.00000 12 5 0.00000 0.00000 12 6 0.00000 0.00000 13 1 0.00000 0.00000 13 2 0.00000 0.00000 13 3 0.00000 0.00000 13 4 0.00000 0.00000 13 5 0.00000 0.00000 13 6 0.00000 0.00000 14 1 1.46341 0.675815E-07 15 1 0.00000 0.00000 16 1 4.00000 0.00000 17 1 11.8859 0.973250E-06 17 2 11.8859 0.973250E-06 18 1 0.00000 0.00000 19 1 208.298 0.572596E-05 20 1 0.975018 0.250185E-16 P00_JAC_TEST Find the maximum relative difference between the jacobian and a finite difference estimate. Problem Option Diff I J 1 1 0.325806E-08 2 2 1 2 0.693444E-08 2 2 1 3 0.118255E-07 2 2 1 4 0.333455E-06 1 2 1 5 0.335117E-07 1 2 1 6 0.279020E-07 1 2 2 1 0.421969E-08 2 2 2 2 0.144872E-07 2 2 2 3 0.583571E-06 2 2 3 1 0.101994E-06 2 2 3 2 0.746256E-07 2 1 3 3 0.926197E-07 2 1 3 4 0.127104E-07 2 2 4 1 0.199535E-06 2 1 5 1 0.132628E-07 2 3 5 2 0.911720E-08 2 3 5 3 0.116260E-07 2 3 6 1 0.618126E-10 5 7 6 2 0.407601E-08 2 5 6 3 0.148158E-09 1 2 6 4 0.321252E-09 1 2 6 5 0.560827E-10 1 2 7 1 0.122909E-06 2 2 8 1 0.105325E-06 3 3 9 1 0.322343E-07 2 2 9 2 0.215731E-07 1 1 9 3 0.943256E-08 2 2 9 4 0.155289E-07 2 2 9 5 0.871553E-08 2 2 9 6 0.239635E-06 2 2 9 7 0.855260E-08 2 2 9 8 0.324727E-07 2 2 9 9 0.865443E-08 2 2 9 10 0.371570E-07 2 2 9 11 0.127161E-06 2 2 9 12 0.970518E-08 2 4 9 13 0.397406E-07 2 2 10 1 0.293220E+42 14 8 10 2 1.00000 6 7 11 1 1.00000 7 26 11 2 0.486082E-04 19 15 12 1 0.438831E-05 7 8 12 2 0.540600E-05 9 9 12 3 0.838630E-05 8 5 12 4 0.176726E-03 35 31 12 5 0.104020E-02 14 13 12 6 0.155339E-04 18 72 13 1 0.543875E-10 40 40 13 2 0.578869E-10 18 65 13 3 0.120842E-09 65 145 13 4 0.926481E-10 22 145 13 5 0.282304E-09 228 257 13 6 0.147559E-09 207 257 14 1 0.143150E-07 5 5 15 1 0.248074E-05 2 2 16 1 0.141638E-05 13 6 17 1 0.119913E-07 8 10 17 2 0.300179E-08 8 2 18 1 0.595604E-06 7 7 19 1 0.510053 9 5 20 1 0.697171E-08 2 2 P00_TAN_TEST Compute the tangent vector TAN(X) at the starting point. Verify that JAC(X) * TAN(X) = 0. Verify that det ( JAC ) > 0 ( TAN ) Problem Option ||Jac*Tan|| det(Jac|Tan) 1 1 0.422760E-15 140.911 1 2 0.422760E-15 140.911 1 3 0.422760E-15 140.911 1 4 0.323683E-15 96.0417 1 5 0.323683E-15 96.0417 1 6 0.323683E-15 96.0417 2 1 0.00000 2.23607 2 2 0.148527E-17 4.40094 2 3 0.122663E-16 129.472 3 1 0.160219E-11 55501.4 3 2 0.135660E-11 58745.5 3 3 0.112629E-11 55501.4 3 4 0.433431E-12 1463.73 4 1 0.176276E-15 1.58482 5 1 0.556371E-16 2.36360 5 2 0.619751E-16 1.81413 5 3 0.775009E-16 1.33105 6 1 0.748850E-15 6839.86 6 2 0.251611E-15 6571.61 6 3 0.403755E-15 6514.08 6 4 0.436798E-15 6106.59 6 5 0.920528E-15 5636.90 7 1 0.333067E-15 0.113672E+11 8 1 0.723064E-17 0.202933 9 1 0.00000 16.1245 9 2 0.409924E-16 16.2380 9 3 0.174281E-16 16.5466 9 4 0.718784E-16 17.3921 9 5 0.00000 16.1245 9 6 0.409924E-16 16.2380 9 7 0.174281E-16 16.5466 9 8 0.718784E-16 17.3921 9 9 0.00000 16.1245 9 10 0.409924E-16 16.2380 9 11 0.174281E-16 16.5466 9 12 0.718784E-16 17.3921 9 13 0.00000 16.1245 10 1 0.865454 0.106859E+20 10 2 0.865454 0.106859E+20 11 1 0.218507E-15 5781.34 11 2 0.301800E-15 8734.05 12 1 0.00000 0.109951E+13 12 2 0.00000 0.340667E+46 12 3 0.00000 0.367828E+61 12 4 0.00000 0.102201E+85 12 5 0.00000 0.157566+103 12 6 0.00000 0.413404+149 13 1 0.233284E-13 0.138752+153 13 2 0.233284E-13 0.138752+153 13 3 0.102042E-12 +Infinity 13 4 0.102042E-12 +Infinity 13 5 0.247371E-12 +Infinity 13 6 0.247371E-12 +Infinity 14 1 0.177688E-16 0.304168E-06 15 1 0.400400E-11 17.6237 16 1 0.885558E-16 1.76777 17 1 0.259921E-15 0.326494E-02 17 2 0.232420E-17 0.130680E-02 18 1 0.255496E-14 0.112757E+15 19 1 0.938145E-16 0.223114E+15 20 1 0.427608E-16 1.40470 P00_NEWTON_TEST Problem number = 1 Using option OPTION = 1 Freudenstein-Roth function, (15,-2,0). Number of variables is 3 Fixing X( 1) = 15.3495 Convergence was achieved in 4 steps. X0 X1=X0+dX X2 15.0000 15.3495 15.3495 -2.00000 -2.28690 -2.05532 0.00000 0.829509E-01 -0.665899E-01 F(X0) F(X1=X0+dX) F(X2) 0.00000 13.8533 0.102908E-07 0.00000 2.46519 -0.476109E-08 P00_NEWTON_TEST Problem number = 1 Using option OPTION = 2 Freudenstein-Roth function, (15,-2,0), x1 limits. Number of variables is 3 Fixing X( 1) = 15.3495 Convergence was achieved in 4 steps. X0 X1=X0+dX X2 15.0000 15.3495 15.3495 -2.00000 -2.28690 -2.05532 0.00000 0.829509E-01 -0.665899E-01 F(X0) F(X1=X0+dX) F(X2) 0.00000 13.8533 0.102908E-07 0.00000 2.46519 -0.476109E-08 P00_NEWTON_TEST Problem number = 1 Using option OPTION = 3 Freudenstein-Roth function, (15,-2,0), x3 limits. Number of variables is 3 Fixing X( 1) = 15.3495 Convergence was achieved in 4 steps. X0 X1=X0+dX X2 15.0000 15.3495 15.3495 -2.00000 -2.28690 -2.05532 0.00000 0.829509E-01 -0.665899E-01 F(X0) F(X1=X0+dX) F(X2) 0.00000 13.8533 0.102908E-07 0.00000 2.46519 -0.476109E-08 P00_NEWTON_TEST Problem number = 1 Using option OPTION = 4 Freudenstein-Roth function, (4,3,0). Number of variables is 3 Fixing X( 2) = 3.38253 Convergence was achieved in 1 steps. X0 X1=X0+dX X2 4.00000 4.10921 3.46058 3.00000 3.38253 3.38253 0.00000 0.829509E-01 0.266059 F(X0) F(X1=X0+dX) F(X2) 0.00000 0.993072E-01 0.888178E-15 0.00000 6.32499 0.355271E-14 P00_NEWTON_TEST Problem number = 1 Using option OPTION = 5 Freudenstein-Roth function, (4,3,0), x1 limits. Number of variables is 3 Fixing X( 2) = 3.38253 Convergence was achieved in 1 steps. X0 X1=X0+dX X2 4.00000 4.10921 3.46058 3.00000 3.38253 3.38253 0.00000 0.829509E-01 0.266059 F(X0) F(X1=X0+dX) F(X2) 0.00000 0.993072E-01 0.888178E-15 0.00000 6.32499 0.355271E-14 P00_NEWTON_TEST Problem number = 1 Using option OPTION = 6 Freudenstein-Roth function, (4,3,0), x3 limits. Number of variables is 3 Fixing X( 2) = 3.38253 Convergence was achieved in 1 steps. X0 X1=X0+dX X2 4.00000 4.10921 3.46058 3.00000 3.38253 3.38253 0.00000 0.829509E-01 0.266059 F(X0) F(X1=X0+dX) F(X2) 0.00000 0.993072E-01 0.888178E-15 0.00000 6.32499 0.355271E-14 P00_NEWTON_TEST Problem number = 2 Using option OPTION = 1 Boggs function, (1,0,0). Number of variables is 3 Fixing X( 2) = 0.956318E-01 Convergence was achieved in 2 steps. X0 X1=X0+dX X2 1.00000 1.04368 0.988738 0.00000 0.956318E-01 0.956318E-01 0.00000 0.829509E-01 0.590140E-01 F(X0) F(X1=X0+dX) F(X2) 0.00000 0.159546 0.00000 0.00000 0.549452E-01 0.00000 P00_NEWTON_TEST Problem number = 2 Using option OPTION = 2 Boggs function, (1,-1,0). Number of variables is 3 Fixing X( 1) = 1.04368 Convergence was achieved in 3 steps. X0 X1=X0+dX X2 1.00000 1.04368 1.04368 -1.00000 -1.19126 -0.988746 0.00000 0.829509E-01 -0.260073E-01 F(X0) F(X1=X0+dX) F(X2) 0.00000 0.529392 -0.444089E-15 0.00000 0.422571 0.732747E-13 P00_NEWTON_TEST Problem number = 2 Using option OPTION = 3 Boggs function, (10,10,0). Number of variables is 3 Fixing X( 2) = 11.0519 Convergence was achieved in 3 steps. X0 X1=X0+dX X2 10.0000 10.2403 9.28293 10.0000 11.0519 11.0519 0.00000 0.829509E-01 0.163507 F(X0) F(X1=X0+dX) F(X2) 0.00000 11.3595 0.291226E-06 0.00000 0.712090E-01 0.177636E-14 P00_NEWTON_TEST Problem number = 3 Using option OPTION = 1 Powell function, (3,6,0). Number of variables is 3 Fixing X( 2) = 6.66942 Convergence was achieved in 3 steps. X0 X1=X0+dX X2 3.00000 3.08737 2.64113 6.00000 6.66942 6.66942 0.00000 0.829509E-01 0.214006E-01 F(X0) F(X1=X0+dX) F(X2) 0.00000 40840.6 0.291038E-10 0.00000 -0.839985E-01 0.506726E-10 P00_NEWTON_TEST Problem number = 3 Using option OPTION = 2 Powell function, (4,5,0). Number of variables is 3 Fixing X( 1) = 5.13105 Convergence was achieved in 3 steps. X0 X1=X0+dX X2 5.00000 5.13105 5.13105 4.00000 4.47816 3.89287 0.00000 0.829509E-01 0.127543E-02 F(X0) F(X1=X0+dX) F(X2) 0.00000 46366.7 0.00000 0.00000 -0.886699E-01 0.197287E-12 P00_NEWTON_TEST Problem number = 3 Using option OPTION = 3 Powell function, (6,3,0). Number of variables is 3 Fixing X( 1) = 6.15289 Convergence was achieved in 3 steps. X0 X1=X0+dX X2 6.00000 6.15289 6.15289 3.00000 3.38253 2.91248 0.00000 0.829509E-01 0.443337E-02 F(X0) F(X1=X0+dX) F(X2) 0.00000 43054.3 0.00000 0.00000 -0.948007E-01 0.144339E-10 P00_NEWTON_TEST Problem number = 3 Using option OPTION = 4 Powell function, (1,1,0). Number of variables is 3 Fixing X( 2) = 1.19126 Convergence was achieved in 5 steps. X0 X1=X0+dX X2 1.00000 1.04368 0.839688 1.00000 1.19126 1.19126 0.00000 0.829509E-01 -0.290276E-03 F(X0) F(X1=X0+dX) F(X2) 0.00000 3262.45 0.00000 0.00000 -0.101694 0.207288E-09 P00_NEWTON_TEST Problem number = 4 Using option OPTION = 1 Broyden function Number of variables is 3 Fixing X( 3) = 0.829509E-01 Convergence was achieved in 4 steps. X0 X1=X0+dX X2 0.400000 0.430579 0.292098 3.00000 3.38253 2.78467 0.00000 0.829509E-01 0.829509E-01 F(X0) F(X1=X0+dX) F(X2) 0.00000 -0.195362 -0.262260E-08 0.00000 0.291242 0.541664E-08 P00_NEWTON_TEST Problem number = 5 Using option OPTION = 1 Wacker function, A = 0.1. Number of variables is 4 Fixing X( 3) = 0.829509E-01 Convergence was achieved in 2 steps. X0 X1=X0+dX X2 0.00000 0.218418E-01 0.341653E-01 0.00000 0.956318E-01 0.503526E-01 0.00000 0.829509E-01 0.829509E-01 0.00000 0.561695E-01 0.481827E-01 F(X0) F(X1=X0+dX) F(X2) 0.00000 -0.187057E-01 -0.149421E-09 0.00000 0.366782E-01 -0.126014E-09 0.00000 -0.143280E-01 -0.246118E-08 P00_NEWTON_TEST Problem number = 5 Using option OPTION = 2 Wacker function, A = 0.5. Number of variables is 4 Fixing X( 3) = 0.829509E-01 Convergence was achieved in 2 steps. X0 X1=X0+dX X2 0.00000 0.218418E-01 0.187317E-01 0.00000 0.956318E-01 0.396628E-01 0.00000 0.829509E-01 0.829509E-01 0.00000 0.561695E-01 0.601104E-01 F(X0) F(X1=X0+dX) F(X2) 0.00000 0.327136E-02 -0.119518E-08 0.00000 0.569974E-01 -0.867201E-09 0.00000 0.538743E-02 0.156514E-08 P00_NEWTON_TEST Problem number = 5 Using option OPTION = 3 Wacker function, A = 1.0. Number of variables is 4 Fixing X( 4) = 0.561695E-01 Convergence was achieved in 3 steps. X0 X1=X0+dX X2 0.00000 0.218418E-01 -0.123761E-01 0.00000 0.956318E-01 0.828049E-02 0.00000 0.829509E-01 0.505116E-01 0.00000 0.561695E-01 0.561695E-01 F(X0) F(X1=X0+dX) F(X2) 0.00000 0.307427E-01 0.173472E-17 0.00000 0.823964E-01 -0.353233E-13 0.00000 0.300318E-01 -0.316841E-11 P00_NEWTON_TEST Problem number = 6 Using option OPTION = 1 Aircraft function, x(6) = - 0.050. Number of variables is 8 Fixing X( 1) = 0.229250E-01 Convergence was achieved in 3 steps. X0 X1=X0+dX X2 0.106001E-02 0.229250E-01 0.229250E-01 0.512061E-01 0.151735 0.512125E-01 0.579953E-04 0.830137E-01 0.133697E-02 0.596061E-01 0.119124 0.596071E-01 0.264684E-04 0.415583E-01 0.233123E-03 -0.500000E-01 -0.569425E-01 -0.500000E-01 0.00000 0.257578E-01 -0.227700E-02 0.00000 0.109957E-01 0.00000 F(X0) F(X1=X0+dX) F(X2) -0.365647E-10 -4.86264 0.765013E-15 -0.199294E-07 -1.26622 0.444422E-16 0.103646E-10 0.117542 -0.298156E-17 0.901222E-08 0.412247E-01 0.171101E-17 -0.649975E-12 -0.886111E-01 0.216840E-18 0.00000 -0.694247E-02 0.00000 0.00000 0.109957E-01 0.00000 P00_NEWTON_TEST Problem number = 6 Using option OPTION = 2 Aircraft function, x(6) = - 0.008. Number of variables is 8 Fixing X( 1) = 0.218434E-01 Convergence was achieved in 3 steps. X0 X1=X0+dX X2 0.154827E-05 0.218434E-01 0.218434E-01 0.819297E-02 0.104608 0.818886E-02 -0.682135E-06 -0.829517E-01 0.261489E-03 0.953697E-02 0.662422E-01 0.953735E-02 0.289673E-05 0.415337E-01 -0.205882E-03 -0.800000E-02 -0.146648E-01 -0.800000E-02 0.181888E-04 0.257764E-01 -0.180392E-02 0.00000 0.109957E-01 0.00000 F(X0) F(X1=X0+dX) F(X2) 0.178931E-13 -3.57978 0.113776E-14 0.915047E-14 -1.20903 -0.312650E-17 -0.210685E-14 0.157725 -0.637646E-17 0.769611E-16 0.399225E-01 0.528549E-18 0.468939E-15 0.760750E-01 0.00000 0.00000 -0.666477E-02 0.00000 0.00000 0.109957E-01 0.00000 P00_NEWTON_TEST Problem number = 6 Using option OPTION = 3 Aircraft function, x(6) = 0.000. Number of variables is 8 Fixing X( 1) = 0.218418E-01 Convergence was achieved in 3 steps. X0 X1=X0+dX X2 0.00000 0.218418E-01 0.218418E-01 0.00000 0.956318E-01 -0.623890E-05 0.00000 0.829509E-01 0.713815E-04 0.00000 0.561695E-01 0.283616E-06 0.00000 0.415307E-01 -0.298625E-03 0.00000 0.661187E-02 0.00000 0.00000 0.257578E-01 -0.180913E-02 0.00000 0.109957E-01 0.00000 F(X0) F(X1=X0+dX) F(X2) 0.00000 -3.21594 0.102950E-14 0.00000 -1.56918 -0.847033E-21 0.00000 0.118931 -0.599386E-17 0.00000 0.374443E-01 -0.847033E-21 0.00000 -0.900470E-01 -0.494985E-20 0.00000 0.661187E-02 0.00000 0.00000 0.109957E-01 0.00000 P00_NEWTON_TEST Problem number = 6 Using option OPTION = 4 Aircraft function, x(6) = + 0.050. Number of variables is 8 Fixing X( 1) = -0.218527E-01 Convergence was achieved in 3 steps. X0 X1=X0+dX X2 -0.106553E-04 -0.218527E-01 -0.218527E-01 -0.512061E-01 -0.151735 -0.512269E-01 0.560019E-05 0.829570E-01 0.110261E-02 -0.596061E-01 -0.119124 -0.596063E-01 -0.208910E-04 -0.415525E-01 0.940511E-03 0.500000E-01 0.569425E-01 0.500000E-01 -0.122595E-03 -0.258835E-01 0.219825E-02 0.00000 0.109957E-01 0.00000 F(X0) F(X1=X0+dX) F(X2) -0.212387E-13 -1.66816 -0.108108E-13 -0.607569E-12 1.26663 -0.727449E-16 0.256083E-15 -0.305876 0.892298E-16 -0.218034E-11 -0.430855E-01 -0.202271E-17 -0.174203E-15 -0.720258E-01 0.00000 0.00000 0.694247E-02 0.00000 0.00000 0.109957E-01 0.00000 P00_NEWTON_TEST Problem number = 6 Using option OPTION = 5 Aircraft function, x(6) = + 0.100. Number of variables is 8 Fixing X( 1) = -0.218695E-01 Convergence was achieved in 3 steps. X0 X1=X0+dX X2 -0.270833E-04 -0.218695E-01 -0.218695E-01 -0.102412 -0.207838 -0.102452 0.145409E-04 0.829667E-01 0.222377E-02 -0.119212 -0.182078 -0.119213 -0.480141E-04 -0.415807E-01 0.181787E-02 0.100000 0.107273 0.100000 -0.267808E-03 -0.260325E-01 0.380955E-02 0.00000 0.109957E-01 0.00000 F(X0) F(X1=X0+dX) F(X2) -0.315849E-12 -3.39608 -0.461645E-13 -0.261829E-10 1.33892 -0.356313E-16 0.694944E-14 -0.307082 0.422080E-15 -0.840713E-10 -0.446912E-01 -0.335425E-17 0.341884E-16 -0.706501E-01 0.433681E-18 0.00000 0.727306E-02 0.00000 0.00000 0.109957E-01 0.00000 P00_NEWTON_TEST Problem number = 7 Using option OPTION = 1 Cell kinetics problem, seeking limit points. Number of variables is 6 Fixing X( 6) = 0.661187E-02 Convergence was achieved in 4 steps. X0 X1=X0+dX X2 0.00000 0.218418E-01 0.654683E-04 0.00000 0.956318E-01 0.654683E-04 0.00000 0.829509E-01 0.654683E-04 0.00000 0.561695E-01 0.654683E-04 0.00000 0.415307E-01 0.654683E-04 0.00000 0.661187E-02 0.661187E-02 F(X0) F(X1=X0+dX) F(X2) 0.00000 2.07794 -0.880914E-18 0.00000 8.83169 -0.135233E-13 0.00000 7.70179 -0.144212E-14 0.00000 5.33981 -0.490601E-17 0.00000 4.00116 -0.352366E-18 P00_NEWTON_TEST Problem number = 8 Using option OPTION = 1 Riks mechanical problem, seeking limit points. Number of variables is 6 Fixing X( 3) = 0.829509E-01 Convergence was achieved in 3 steps. X0 X1=X0+dX X2 0.00000 0.218418E-01 0.774892E-02 0.00000 0.956318E-01 0.245665E-01 0.00000 0.829509E-01 0.829509E-01 0.00000 0.561695E-01 0.00000 0.00000 0.415307E-01 0.00000 0.00000 0.661187E-02 -0.543530E-03 F(X0) F(X1=X0+dX) F(X2) 0.00000 0.599868E-01 -0.569610E-11 0.00000 0.611558E-01 -0.619589E-11 0.00000 0.571360E-03 0.142027E-11 0.00000 0.561695E-01 0.00000 0.00000 0.415307E-01 0.00000 P00_NEWTON_TEST Problem number = 9 Using option OPTION = 1 Oden problem, VAL=0.00, Target X(1)=4.0, Limits in X(1). Number of variables is 4 Fixing X( 3) = 0.829509E-01 Convergence was achieved in 3 steps. X0 X1=X0+dX X2 0.00000 0.218418E-01 0.104506E-01 0.00000 0.956318E-01 -0.101576E-09 0.00000 0.829509E-01 0.829509E-01 0.00000 0.561695E-01 0.00000 F(X0) F(X1=X0+dX) F(X2) 0.00000 0.709714E-01 -0.344942E-09 0.00000 0.179172 -0.198916E-09 0.00000 0.561695E-01 0.00000 P00_NEWTON_TEST Problem number = 9 Using option OPTION = 2 Oden problem, VAL=0.25, Target X(1)=4.0, Limits in X(1). Number of variables is 4 Fixing X( 3) = 0.829509E-01 Convergence was achieved in 3 steps. X0 X1=X0+dX X2 0.00000 0.218418E-01 0.101510E-01 0.00000 0.956318E-01 0.104727E-01 0.00000 0.829509E-01 0.829509E-01 0.250000 0.320212 0.250000 F(X0) F(X1=X0+dX) F(X2) 0.00000 0.750571E-01 -0.168641E-09 0.00000 0.157718 -0.961034E-10 0.00000 0.702119E-01 0.00000 P00_NEWTON_TEST Problem number = 9 Using option OPTION = 3 Oden problem, VAL=0.50, Target X(1)=4.0, Limits in X(1). Number of variables is 4 Fixing X( 3) = 0.829509E-01 Convergence was achieved in 3 steps. X0 X1=X0+dX X2 0.00000 0.218418E-01 0.926592E-02 0.00000 0.956318E-01 0.202547E-01 0.00000 0.829509E-01 0.829509E-01 0.500000 0.584254 0.500000 F(X0) F(X1=X0+dX) F(X2) 0.00000 0.846002E-01 -0.887105E-10 0.00000 0.138075 -0.495250E-10 0.00000 0.842543E-01 0.00000 P00_NEWTON_TEST Problem number = 9 Using option OPTION = 4 Oden problem, VAL=1.00, Target X(1)=4.0, Limits in X(1). Number of variables is 4 Fixing X( 3) = 0.829509E-01 Convergence was achieved in 3 steps. X0 X1=X0+dX X2 0.00000 0.218418E-01 0.593930E-02 0.00000 0.956318E-01 0.352971E-01 0.00000 0.829509E-01 0.829509E-01 1.00000 1.11234 1.00000 F(X0) F(X1=X0+dX) F(X2) 0.00000 0.117080 -0.391211E-10 0.00000 0.109444 -0.209352E-10 0.00000 0.112339 0.00000 P00_NEWTON_TEST Problem number = 9 Using option OPTION = 5 Oden problem, VAL=0.00, Target X(1)=4.0, Limits in X(2). Number of variables is 4 Fixing X( 3) = 0.829509E-01 Convergence was achieved in 3 steps. X0 X1=X0+dX X2 0.00000 0.218418E-01 0.104506E-01 0.00000 0.956318E-01 -0.101576E-09 0.00000 0.829509E-01 0.829509E-01 0.00000 0.561695E-01 0.00000 F(X0) F(X1=X0+dX) F(X2) 0.00000 0.709714E-01 -0.344942E-09 0.00000 0.179172 -0.198916E-09 0.00000 0.561695E-01 0.00000 P00_NEWTON_TEST Problem number = 9 Using option OPTION = 6 Oden problem, VAL=0.25, Target X(1)=4.0, Limits in X(2). Number of variables is 4 Fixing X( 3) = 0.829509E-01 Convergence was achieved in 3 steps. X0 X1=X0+dX X2 0.00000 0.218418E-01 0.101510E-01 0.00000 0.956318E-01 0.104727E-01 0.00000 0.829509E-01 0.829509E-01 0.250000 0.320212 0.250000 F(X0) F(X1=X0+dX) F(X2) 0.00000 0.750571E-01 -0.168641E-09 0.00000 0.157718 -0.961034E-10 0.00000 0.702119E-01 0.00000 P00_NEWTON_TEST Problem number = 9 Using option OPTION = 7 Oden problem, VAL=0.50, Target X(1)=4.0, Limits in X(2). Number of variables is 4 Fixing X( 3) = 0.829509E-01 Convergence was achieved in 3 steps. X0 X1=X0+dX X2 0.00000 0.218418E-01 0.926592E-02 0.00000 0.956318E-01 0.202547E-01 0.00000 0.829509E-01 0.829509E-01 0.500000 0.584254 0.500000 F(X0) F(X1=X0+dX) F(X2) 0.00000 0.846002E-01 -0.887105E-10 0.00000 0.138075 -0.495250E-10 0.00000 0.842543E-01 0.00000 P00_NEWTON_TEST Problem number = 9 Using option OPTION = 8 Oden problem, VAL=1.00, Target X(1)=4.0, Limits in X(2). Number of variables is 4 Fixing X( 3) = 0.829509E-01 Convergence was achieved in 3 steps. X0 X1=X0+dX X2 0.00000 0.218418E-01 0.593930E-02 0.00000 0.956318E-01 0.352971E-01 0.00000 0.829509E-01 0.829509E-01 1.00000 1.11234 1.00000 F(X0) F(X1=X0+dX) F(X2) 0.00000 0.117080 -0.391211E-10 0.00000 0.109444 -0.209352E-10 0.00000 0.112339 0.00000 P00_NEWTON_TEST Problem number = 9 Using option OPTION = 9 Oden problem, VAL=0.00, Target X(1)=4.0, Limits in X(3). Number of variables is 4 Fixing X( 3) = 0.829509E-01 Convergence was achieved in 3 steps. X0 X1=X0+dX X2 0.00000 0.218418E-01 0.104506E-01 0.00000 0.956318E-01 -0.101576E-09 0.00000 0.829509E-01 0.829509E-01 0.00000 0.561695E-01 0.00000 F(X0) F(X1=X0+dX) F(X2) 0.00000 0.709714E-01 -0.344942E-09 0.00000 0.179172 -0.198916E-09 0.00000 0.561695E-01 0.00000 P00_NEWTON_TEST Problem number = 9 Using option OPTION = 10 Oden problem, VAL=0.25, Target X(1)=4.0, Limits in X(3). Number of variables is 4 Fixing X( 3) = 0.829509E-01 Convergence was achieved in 3 steps. X0 X1=X0+dX X2 0.00000 0.218418E-01 0.101510E-01 0.00000 0.956318E-01 0.104727E-01 0.00000 0.829509E-01 0.829509E-01 0.250000 0.320212 0.250000 F(X0) F(X1=X0+dX) F(X2) 0.00000 0.750571E-01 -0.168641E-09 0.00000 0.157718 -0.961034E-10 0.00000 0.702119E-01 0.00000 P00_NEWTON_TEST Problem number = 9 Using option OPTION = 11 Oden problem, VAL=0.50, Target X(1)=4.0, Limits in X(3). Number of variables is 4 Fixing X( 3) = 0.829509E-01 Convergence was achieved in 3 steps. X0 X1=X0+dX X2 0.00000 0.218418E-01 0.926592E-02 0.00000 0.956318E-01 0.202547E-01 0.00000 0.829509E-01 0.829509E-01 0.500000 0.584254 0.500000 F(X0) F(X1=X0+dX) F(X2) 0.00000 0.846002E-01 -0.887105E-10 0.00000 0.138075 -0.495250E-10 0.00000 0.842543E-01 0.00000 P00_NEWTON_TEST Problem number = 9 Using option OPTION = 12 Oden problem, VAL=1.00, Target X(1)=4.0, Limits in X(3). Number of variables is 4 Fixing X( 3) = 0.829509E-01 Convergence was achieved in 3 steps. X0 X1=X0+dX X2 0.00000 0.218418E-01 0.593930E-02 0.00000 0.956318E-01 0.352971E-01 0.00000 0.829509E-01 0.829509E-01 1.00000 1.11234 1.00000 F(X0) F(X1=X0+dX) F(X2) 0.00000 0.117080 -0.391211E-10 0.00000 0.109444 -0.209352E-10 0.00000 0.112339 0.00000 P00_NEWTON_TEST Problem number = 9 Using option OPTION = 13 Oden problem, VAL=0.00, no targets, no limits. Number of variables is 4 Fixing X( 3) = 0.829509E-01 Convergence was achieved in 3 steps. X0 X1=X0+dX X2 0.00000 0.218418E-01 0.104506E-01 0.00000 0.956318E-01 -0.101576E-09 0.00000 0.829509E-01 0.829509E-01 0.00000 0.561695E-01 0.00000 F(X0) F(X1=X0+dX) F(X2) 0.00000 0.709714E-01 -0.344942E-09 0.00000 0.179172 -0.198916E-09 0.00000 0.561695E-01 0.00000 P00_NEWTON_TEST Problem number = 10 Using option OPTION = 1 Torsion of a square rod, finite difference, PHI(S)=EXP(5*S). Number of variables is 37 Fixing X( 37) = 0.188955E-01 The iteration seemed to be diverging, and was halted. ||X0|| ||X1=X0+dX|| ||X2|| 0.00000 0.336860 0.768141 ||F(X0)|| ||F(X1=X0+dX)|| ||F(X2)|| 0.00000 15.8018 0.145806E+09 P00_NEWTON_TEST Problem number = 10 Using option OPTION = 2 Torsion of a square rod, finite difference, PHI(S)=two levels. Number of variables is 37 Fixing X( 37) = 0.188955E-01 The iteration seemed to be diverging, and was halted. ||X0|| ||X1=X0+dX|| ||X2|| 0.00000 0.336860 732.569 ||F(X0)|| ||F(X1=X0+dX)|| ||F(X2)|| 0.00000 7.99592 8037.37 P00_NEWTON_TEST Problem number = 11 Using option OPTION = 1 Torsion of a square rod, finite element solution. Number of variables is 26 Fixing X( 26) = 0.912484E-01 Convergence was achieved in 4 steps. ||X0|| ||X1=X0+dX|| ||X2|| 0.00000 0.273778 0.118533 ||F(X0)|| ||F(X1=X0+dX)|| ||F(X2)|| 0.00000 0.450766 0.551936E-08 P00_NEWTON_TEST Problem number = 11 Using option OPTION = 2 Torsion of a square rod, finite element solution. Number of variables is 26 Fixing X( 26) = 0.912484E-01 Convergence was achieved in 1 steps. ||X0|| ||X1=X0+dX|| ||X2|| 0.00000 0.273778 0.182180 ||F(X0)|| ||F(X1=X0+dX)|| ||F(X2)|| 0.00000 0.395993 0.590229E-16 P00_NEWTON_TEST Problem number = 12 Using option OPTION = 1 Materially nonlinear problem, NPOLYS = 2, NDERIV = 1. Number of variables is 26 Fixing X( 26) = 0.912484E-01 Convergence was achieved in 2 steps. ||X0|| ||X1=X0+dX|| ||X2|| 0.00000 0.273778 0.912484E-01 ||F(X0)|| ||F(X1=X0+dX)|| ||F(X2)|| 0.00000 4.78510 0.200391E-10 P00_NEWTON_TEST Problem number = 12 Using option OPTION = 2 Materially nonlinear problem, NPOLYS = 4, NDERIV = 1. Number of variables is 42 Fixing X( 42) = 0.367027E-01 Convergence was achieved in 2 steps. ||X0|| ||X1=X0+dX|| ||X2|| 0.00000 0.354738 0.367027E-01 ||F(X0)|| ||F(X1=X0+dX)|| ||F(X2)|| 0.00000 28.1135 0.701852E-11 P00_NEWTON_TEST Problem number = 12 Using option OPTION = 3 Materially nonlinear problem, NPOLYS = 4, NDERIV = 2. Number of variables is 49 Fixing X( 49) = 0.825003E-01 Convergence was achieved in 2 steps. ||X0|| ||X1=X0+dX|| ||X2|| 0.00000 0.379940 0.825003E-01 ||F(X0)|| ||F(X1=X0+dX)|| ||F(X2)|| 0.00000 29.9329 0.805383E-10 P00_NEWTON_TEST Problem number = 12 Using option OPTION = 4 Materially nonlinear problem, NPOLYS = 6, NDERIV = 1. Number of variables is 58 Fixing X( 58) = 0.763537E-01 Convergence was achieved in 2 steps. ||X0|| ||X1=X0+dX|| ||X2|| 0.00000 0.427553 0.763537E-01 ||F(X0)|| ||F(X1=X0+dX)|| ||F(X2)|| 0.00000 116.251 0.444297E-10 P00_NEWTON_TEST Problem number = 12 Using option OPTION = 5 Materially nonlinear problem, NPOLYS = 6, NDERIV = 2. Number of variables is 65 Fixing X( 65) = 0.419093E-02 Convergence was achieved in 2 steps. ||X0|| ||X1=X0+dX|| ||X2|| 0.00000 0.452509 0.419093E-02 ||F(X0)|| ||F(X1=X0+dX)|| ||F(X2)|| 0.00000 120.150 0.723214E-14 P00_NEWTON_TEST Problem number = 12 Using option OPTION = 6 Materially nonlinear problem, NPOLYS = 6, NDERIV = 3. Number of variables is 72 Fixing X( 72) = 0.114319E-01 Convergence was achieved in 2 steps. ||X0|| ||X1=X0+dX|| ||X2|| 0.00000 0.463259 0.114319E-01 ||F(X0)|| ||F(X1=X0+dX)|| ||F(X2)|| 0.00000 10676.1 0.147018E-12 P00_NEWTON_TEST Problem number = 13 Using option OPTION = 1 Simpson's BVP, F(U) = EXP(U), M = 8. Number of variables is 65 Fixing X( 65) = 0.419093E-02 Convergence was achieved in 2 steps. ||X0|| ||X1=X0+dX|| ||X2|| 0.00000 0.452509 0.447052E-02 ||F(X0)|| ||F(X1=X0+dX)|| ||F(X2)|| 0.00000 74.5894 0.215340E-14 P00_NEWTON_TEST Problem number = 13 Using option OPTION = 2 Simpson's BVP, F(U) = function 2, M = 8. Number of variables is 65 Fixing X( 65) = 0.419093E-02 Convergence was achieved in 2 steps. ||X0|| ||X1=X0+dX|| ||X2|| 0.00000 0.452509 0.447052E-02 ||F(X0)|| ||F(X1=X0+dX)|| ||F(X2)|| 0.00000 74.5894 0.193349E-14 P00_NEWTON_TEST Problem number = 13 Using option OPTION = 3 Simpson's BVP, F(U) = EXP(U), M = 12. Number of variables is 145 Fixing X(145) = 0.893345E-01 Convergence was achieved in 2 steps. ||X0|| ||X1=X0+dX|| ||X2|| 0.00000 0.698945 0.101477 ||F(X0)|| ||F(X1=X0+dX)|| ||F(X2)|| 0.00000 235.784 0.240511E-10 P00_NEWTON_TEST Problem number = 13 Using option OPTION = 4 Simpson's BVP, F(U) = function 2, M = 12. Number of variables is 145 Fixing X(145) = 0.893345E-01 Convergence was achieved in 2 steps. ||X0|| ||X1=X0+dX|| ||X2|| 0.00000 0.698945 0.101477 ||F(X0)|| ||F(X1=X0+dX)|| ||F(X2)|| 0.00000 235.784 0.214140E-10 P00_NEWTON_TEST Problem number = 13 Using option OPTION = 5 Simpson's BVP, F(U) = EXP(U), M = 16. Number of variables is 257 Fixing X(257) = 0.428705E-01 Convergence was achieved in 2 steps. ||X0|| ||X1=X0+dX|| ||X2|| 0.00000 0.903193 0.524028E-01 ||F(X0)|| ||F(X1=X0+dX)|| ||F(X2)|| 0.00000 487.782 0.407274E-11 P00_NEWTON_TEST Problem number = 13 Using option OPTION = 6 Simpson's BVP, F(U) = function 2, M = 16. Number of variables is 257 Fixing X(257) = 0.428705E-01 Convergence was achieved in 2 steps. ||X0|| ||X1=X0+dX|| ||X2|| 0.00000 0.903193 0.524028E-01 ||F(X0)|| ||F(X1=X0+dX)|| ||F(X2)|| 0.00000 487.782 0.364742E-11 P00_NEWTON_TEST Problem number = 14 Using option OPTION = 1 Keller's BVP. Number of variables is 13 Fixing X( 6) = 0.108418 Convergence was achieved in 3 steps. ||X0|| ||X1=X0+dX|| ||X2|| 1.46341 1.59245 1.46730 ||F(X0)|| ||F(X1=X0+dX)|| ||F(X2)|| 0.675815E-07 0.227692 0.118954E-05 P00_NEWTON_TEST Problem number = 15 Using option OPTION = 1 The Trigger Circuit. Number of variables is 7 Fixing X( 7) = 0.257578E-01 The iteration seemed to be diverging, and was halted. X0 X1=X0+dX X2 0.00000 0.218418E-01 9.40455 0.00000 0.956318E-01 26.3033 0.00000 0.829509E-01 6.91051 0.00000 0.561695E-01 0.550712 0.00000 0.415307E-01 1.18955 0.00000 0.661187E-02 9.49454 0.00000 0.257578E-01 0.257578E-01 F(X0) F(X1=X0+dX) F(X2) 0.00000 -0.807974E-02 -0.468375E-16 0.00000 0.310655E-02 0.215139+279 0.00000 0.716116E-02 0.693889E-16 0.00000 0.104185 0.00000 0.00000 -0.119527E-01 460878. 0.00000 -59.4453 105.971 P00_NEWTON_TEST Problem number = 16 Using option OPTION = 1 The Moore Spence Chemical Reaction Integral Equation. Number of variables is 17 Fixing X( 17) = 0.897504E-01 Convergence was achieved in 3 steps. ||X0|| ||X1=X0+dX|| ||X2|| 4.00000 4.33585 3.83425 ||F(X0)|| ||F(X1=X0+dX)|| ||F(X2)|| 0.00000 0.468133 0.447196E-06 P00_NEWTON_TEST Problem number = 17 Using option OPTION = 1 Bremermann Propane Combustion System, fixed pressure. Number of variables is 12 Fixing X( 3) = 10.9123 Convergence was achieved in 4 steps. ||X0|| ||X1=X0+dX|| ||X2|| 11.8859 12.8787 12.8201 ||F(X0)|| ||F(X1=X0+dX)|| ||F(X2)|| 0.973250E-06 1.31600 0.501779E-06 P00_NEWTON_TEST Problem number = 17 Using option OPTION = 2 Bremermann Propane Combustion System, fixed concentration. Number of variables is 12 Fixing X( 11) = 1.01235 Convergence was achieved in 4 steps. ||X0|| ||X1=X0+dX|| ||X2|| 11.8859 12.8787 11.8869 ||F(X0)|| ||F(X1=X0+dX)|| ||F(X2)|| 0.973250E-06 1.34330 0.112530E-05 P00_NEWTON_TEST Problem number = 18 Using option OPTION = 1 The Semiconductor Problem. Number of variables is 12 Fixing X( 9) = 0.438290E-02 Convergence was achieved in 7 steps. ||X0|| ||X1=X0+dX|| ||X2|| 0.00000 0.168251 0.158147E-01 ||F(X0)|| ||F(X1=X0+dX)|| ||F(X2)|| 0.00000 968019. 0.345123E-11 P00_NEWTON_TEST Problem number = 19 Using option OPTION = 1 Nitric Acid Absorption Flash. Number of variables is 13 Fixing X( 11) = 208.306 Convergence was achieved in 3 steps. ||X0|| ||X1=X0+dX|| ||X2|| 208.298 209.696 209.590 ||F(X0)|| ||F(X1=X0+dX)|| ||F(X2)|| 0.572596E-05 342.404 0.116868E-12 P00_NEWTON_TEST Problem number = 20 Using option OPTION = 1 The Buckling Spring, F(L,Theta,Lambda,Mu). Number of variables is 4 Fixing X( 4) = -0.216272 Convergence was achieved in 4 steps. X0 X1=X0+dX X2 0.250000 0.277302 0.223874 0.392699 0.525885 0.392699 0.843189 0.996083 0.884865 -0.151588 -0.216272 -0.216272 F(X0) F(X1=X0+dX) F(X2) -0.138778E-16 0.169025 0.263678E-15 0.208167E-16 -0.662360E-01 0.129999E-10 0.00000 0.133186 0.00000 P00_STEPSIZE_TEST Print the stepsizes for each problem. Problem Option H HMIN HMAX 1 1 0.300000 0.312500E-01 4.00000 1 2 0.300000 0.312500E-01 4.00000 1 3 0.300000 0.312500E-01 4.00000 1 4 0.300000 0.312500E-01 4.00000 1 5 0.300000 0.312500E-01 4.00000 1 6 0.300000 0.312500E-01 4.00000 2 1 0.250000 0.100000E-02 1.00000 2 2 0.250000 0.100000E-02 1.00000 2 3 0.250000 0.100000E-02 1.00000 3 1 0.500000 0.250000E-03 3.00000 3 2 0.500000 0.250000E-03 3.00000 3 3 0.500000 0.250000E-03 3.00000 3 4 0.500000 0.250000E-03 3.00000 4 1 0.300000 0.100000E-02 25.0000 5 1 0.300000 0.100000E-02 25.0000 5 2 0.300000 0.100000E-02 25.0000 5 3 0.300000 0.100000E-02 25.0000 6 1 -0.250000 0.100000E-02 0.500000 6 2 -0.250000 0.100000E-02 0.500000 6 3 -0.250000 0.100000E-02 0.500000 6 4 -0.250000 0.100000E-02 0.500000 6 5 -0.250000 0.100000E-02 0.500000 7 1 1.00000 0.100000E-02 1.00000 8 1 1.00000 0.100000E-02 1.00000 9 1 0.300000 0.100000E-02 0.600000 9 2 0.300000 0.100000E-02 0.600000 9 3 0.300000 0.100000E-02 0.600000 9 4 0.300000 0.100000E-02 0.600000 9 5 0.300000 0.100000E-02 0.600000 9 6 0.300000 0.100000E-02 0.600000 9 7 0.300000 0.100000E-02 0.600000 9 8 0.300000 0.100000E-02 0.600000 9 9 0.300000 0.100000E-02 0.600000 9 10 0.300000 0.100000E-02 0.600000 9 11 0.300000 0.100000E-02 0.600000 9 12 0.300000 0.100000E-02 0.600000 9 13 0.300000 0.100000E-02 0.600000 10 1 2.00000 0.100000E-02 10.0000 10 2 2.00000 0.100000E-02 10.0000 11 1 0.125000 0.312500E-01 4.00000 11 2 0.125000 0.312500E-01 4.00000 12 1 2.00000 0.100000E-02 10.0000 12 2 2.00000 0.100000E-02 10.0000 12 3 2.00000 0.100000E-02 10.0000 12 4 2.00000 0.100000E-02 10.0000 12 5 2.00000 0.100000E-02 10.0000 12 6 2.00000 0.100000E-02 10.0000 13 1 2.00000 0.100000E-02 10.0000 13 2 2.00000 0.100000E-02 10.0000 13 3 2.00000 0.100000E-02 10.0000 13 4 2.00000 0.100000E-02 10.0000 13 5 2.00000 0.100000E-02 10.0000 13 6 2.00000 0.100000E-02 10.0000 14 1 2.00000 0.100000E-02 10.0000 15 1 0.300000 0.100000E-02 0.600000 16 1 0.200000 0.100000E-02 2.00000 17 1 1.00000 0.100000E-02 2.00000 17 2 1.00000 0.100000E-02 2.00000 18 1 2.50000 0.100000E-02 5.00000 19 1 0.125000 0.156250E-01 4.00000 20 1 0.250000E-02 0.100000E-01 0.800000E-01 P01_TARGET_TEST Compute a series of solutions for problem 1. We are trying to find a solution for which X(3) = 1.0 The option chosen is 1 # X1 X2 X3 -1 15.0000 -2.00000 0.00000 0 15.0000 -2.00000 0.00000 1 14.7105 -1.94205 0.653814E-01 2 14.5685 -1.90589 0.103962 3 14.4297 -1.85978 0.150714 4 14.2851 -1.75523 0.246844 5 14.3009 -1.69953 0.292624 6 14.3425 -1.66472 0.319358 7 14.4589 -1.60878 0.359376 8 14.7312 -1.52811 0.410840 9 15.3087 -1.41531 0.470885 10 16.4894 -1.25571 0.533386 11 18.8720 -1.02453 0.581038 12 22.8577 -0.730492 0.577159 13 26.8488 -0.483173 0.526611 14 30.8414 -0.257951 0.449789 15 34.8345 -0.438725E-01 0.354942 16 38.8277 0.165843 0.246208 17 42.8205 0.376697 0.125789 18 46.8128 0.594515 -0.532139E-02 19 50.8043 0.827342 -0.147228 20 54.7941 1.08997 -0.301746 21 58.7805 1.42398 -0.475992 22 59.7742 1.53531 -0.525600 23 60.7653 1.67825 -0.581310 24 61.6555 2.02049 -0.669940 25 59.2549 2.45021 -0.666534 26 55.2726 2.72622 -0.579987 27 51.2798 2.91609 -0.475539 28 47.2848 3.06821 -0.362768 29 43.2889 3.19787 -0.244777 30 39.2926 3.31225 -0.123070 31 35.2959 3.41538 0.148594E-02 32 31.2991 3.50980 0.128328 33 27.3022 3.59723 0.257068 34 23.3052 3.67889 0.387423 35 19.3081 3.75568 0.519176 36 15.3110 3.82832 0.652160 37 11.3138 3.89733 0.786240 38 7.31668 3.96316 0.921305 (target) 5.00000 4.00000 1.00000 39 3.31950 4.02617 1.05726 Reached target point. P01_TARGET_TEST Compute a series of solutions for problem 1. We are trying to find a solution for which X(3) = 1.0 The option chosen is 4 # X1 X2 X3 -1 4.00000 3.00000 0.00000 0 4.00000 3.00000 0.00000 1 3.72512 3.12294 0.714186E-01 2 3.45979 3.39393 0.276048 3 3.50529 3.50645 0.381376 4 3.58252 3.57508 0.451817 5 3.79095 3.68581 0.575721 6 4.29336 3.84745 0.780173 (target) 5.00000 4.00000 1.00000 7 5.39386 4.06823 1.10710 Reached target point. P01_LIMIT_TEST Compute a series of solutions for problem 1. We are trying to find limit points X such that TAN( 1) = 0. The option chosen is 2 # Tan(LIM) X(1) X(2) X(3) -1 -0.965146 15.0000 -2.00000 0.00000 0 -0.965146 15.0000 -2.00000 0.00000 1 -0.946362 14.7105 -1.94205 0.653814E-01 2 -0.925043 14.5685 -1.90589 0.103962 3 -0.872250 14.4297 -1.85978 0.150714 4 -0.211617 14.2851 -1.75523 0.246844 (limit) -0.319015E-08 14.2831 -1.74138 0.258578 5 0.554161 14.3009 -1.69953 0.292624 6 0.776406 14.3425 -1.66472 0.319358 7 0.907702 14.4589 -1.60878 0.359376 8 0.962399 14.7312 -1.52811 0.410840 9 0.983935 15.3087 -1.41531 0.470885 10 0.992749 16.4894 -1.25571 0.533386 11 0.996427 18.8720 -1.02453 0.581038 12 0.997779 22.8577 -0.730492 0.577159 13 0.998154 26.8488 -0.483173 0.526611 14 0.998274 30.8414 -0.257951 0.449789 15 0.998281 34.8345 -0.438725E-01 0.354942 16 0.998216 38.8277 0.165843 0.246208 17 0.998082 42.8205 0.376697 0.125789 18 0.997854 46.8128 0.594515 -0.532139E-02 19 0.997452 50.8043 0.827342 -0.147228 20 0.996609 54.7941 1.08997 -0.301746 21 0.993646 58.7805 1.42398 -0.475992 22 0.991101 59.7742 1.53531 -0.525600 23 0.983373 60.7653 1.67825 -0.581310 (limit) 0.621692E-08 61.6694 1.98380 -0.663880 24 -0.600158 61.6555 2.02049 -0.669940 25 -0.995558 59.2549 2.45021 -0.666534 26 -0.998199 55.2726 2.72622 -0.579987 27 -0.998751 51.2798 2.91609 -0.475539 28 -0.998975 47.2848 3.06821 -0.362768 29 -0.999090 43.2889 3.19787 -0.244777 30 -0.999159 39.2926 3.31225 -0.123070 31 -0.999202 35.2959 3.41538 0.148594E-02 32 -0.999232 31.2991 3.50980 0.128328 33 -0.999252 27.3022 3.59723 0.257068 34 -0.999267 23.3052 3.67889 0.387423 35 -0.999278 19.3081 3.75568 0.519176 36 -0.999286 15.3110 3.82832 0.652160 37 -0.999292 11.3138 3.89733 0.786240 38 -0.999296 7.31668 3.96316 0.921305 39 -0.999300 3.31950 4.02617 1.05726 40 -0.999302 -0.677701 4.08664 1.19404 Number of limit points found was 2 P01_LIMIT_TEST Compute a series of solutions for problem 1. We are trying to find limit points X such that TAN( 3) = 0. The option chosen is 3 # Tan(LIM) X(1) X(2) X(3) -1 0.198707 15.0000 -2.00000 0.00000 0 0.198707 15.0000 -2.00000 0.00000 1 0.238115 14.7105 -1.94205 0.653814E-01 2 0.274246 14.5685 -1.90589 0.103962 3 0.343128 14.4297 -1.85978 0.150714 4 0.635257 14.2851 -1.75523 0.246844 5 0.515448 14.3009 -1.69953 0.292624 6 0.377406 14.3425 -1.66472 0.319358 7 0.236737 14.4589 -1.60878 0.359376 8 0.138579 14.7312 -1.52811 0.410840 9 0.762754E-01 15.3087 -1.41531 0.470885 10 0.358830E-01 16.4894 -1.25571 0.533386 11 0.873052E-02 18.8720 -1.02453 0.581038 (limit) -0.153888E-10 20.4859 -0.896805 0.587587 12 -0.813885E-02 22.8577 -0.730492 0.577159 13 -0.164049E-01 26.8488 -0.483173 0.526611 14 -0.216891E-01 30.8414 -0.257951 0.449789 15 -0.255699E-01 34.8345 -0.438725E-01 0.354942 16 -0.287064E-01 38.8277 0.165843 0.246208 17 -0.314584E-01 42.8205 0.376697 0.125789 18 -0.340921E-01 46.8128 0.594515 -0.532139E-02 19 -0.369140E-01 50.8043 0.827342 -0.147228 20 -0.405481E-01 54.7941 1.08997 -0.301746 21 -0.476863E-01 58.7805 1.42398 -0.475992 22 -0.518044E-01 59.7742 1.53531 -0.525600 23 -0.607956E-01 60.7653 1.67825 -0.581310 24 -0.120900 61.6555 2.02049 -0.669940 (limit) 0.570877E-11 61.0203 2.23014 -0.686353 25 0.170498E-01 59.2549 2.45021 -0.666534 26 0.245865E-01 55.2726 2.72622 -0.579987 27 0.273453E-01 51.2798 2.91609 -0.475539 28 0.289306E-01 47.2848 3.06821 -0.362768 29 0.300091E-01 43.2889 3.19787 -0.244777 30 0.308120E-01 39.2926 3.31225 -0.123070 31 0.314444E-01 35.2959 3.41538 0.148594E-02 32 0.319618E-01 31.2991 3.50980 0.128328 33 0.323973E-01 27.3022 3.59723 0.257068 34 0.327715E-01 23.3052 3.67889 0.387423 35 0.330985E-01 19.3081 3.75568 0.519176 36 0.333881E-01 15.3110 3.82832 0.652160 37 0.336473E-01 11.3138 3.89733 0.786240 38 0.338816E-01 7.31668 3.96316 0.921305 39 0.340949E-01 3.31950 4.02617 1.05726 40 0.342904E-01 -0.677701 4.08664 1.19404 Number of limit points found was 2 P01_LIMIT_TEST Compute a series of solutions for problem 1. We are trying to find limit points X such that TAN( 1) = 0. The option chosen is 5 # Tan(LIM) X(1) X(2) X(3) -1 -0.916269 4.00000 3.00000 0.00000 0 -0.916269 4.00000 3.00000 0.00000 1 -0.845096 3.72512 3.12294 0.714186E-01 2 -0.199717E-01 3.45979 3.39393 0.276048 (limit) 0.132502E-10 3.45974 3.39749 0.279188 3 0.514846 3.50529 3.50645 0.381376 4 0.694772 3.58252 3.57508 0.451817 5 0.837350 3.79095 3.68581 0.575721 6 0.917087 4.29336 3.84745 0.780173 7 0.955463 5.39386 4.06823 1.10710 8 0.973986 7.68697 4.36229 1.63410 9 0.982545 11.5829 4.69619 2.36971 10 0.985921 15.5131 4.94664 3.02484 11 0.987779 19.4568 5.15275 3.63481 12 0.988977 23.4079 5.33051 4.21477 13 0.989824 27.3638 5.48823 4.77286 14 0.990459 31.3231 5.63089 5.31405 15 0.990958 35.2849 5.76170 5.84164 16 0.991361 39.2488 5.88292 6.35798 17 0.991696 43.2142 5.99617 6.86478 18 0.991979 47.1810 6.10266 7.36336 19 0.992223 51.1489 6.20334 7.85476 20 0.992435 55.1178 6.29897 8.33979 21 0.992622 59.0875 6.39014 8.81915 22 0.992788 63.0580 6.47734 9.29338 23 0.992937 67.0292 6.56100 9.76296 24 0.993072 71.0009 6.64146 10.2283 25 0.993194 74.9732 6.71900 10.6897 26 0.993306 78.9460 6.79390 11.1476 27 0.993409 82.9192 6.86635 11.6021 28 0.993503 86.8929 6.93657 12.0535 29 0.993591 90.8669 7.00471 12.5019 30 0.993673 94.8412 7.07093 12.9477 31 0.993749 98.8159 7.13536 13.3909 32 0.993820 102.791 7.19811 13.8317 33 0.993887 106.766 7.25929 14.2703 34 0.993950 110.742 7.31900 14.7066 35 0.994009 114.718 7.37733 15.1410 36 0.994065 118.694 7.43435 15.5734 37 0.994118 122.670 7.49013 16.0039 38 0.994169 126.646 7.54474 16.4327 39 0.994217 130.623 7.59825 16.8598 40 0.994262 134.600 7.65070 17.2853 Number of limit points found was 1 P01_LIMIT_TEST Compute a series of solutions for problem 1. We are trying to find limit points X such that TAN( 3) = 0. The option chosen is 6 # Tan(LIM) X(1) X(2) X(3) -1 0.187419 4.00000 3.00000 0.00000 0 0.187419 4.00000 3.00000 0.00000 1 0.286044 3.72512 3.12294 0.714186E-01 2 0.661008 3.45979 3.39393 0.276048 3 0.603675 3.50529 3.50645 0.381376 4 0.523480 3.58252 3.57508 0.451817 5 0.416636 3.79095 3.68581 0.575721 6 0.320708 4.29336 3.84745 0.780173 7 0.250711 5.39386 4.06823 1.10710 8 0.202249 7.68697 4.36229 1.63410 9 0.172067 11.5829 4.69619 2.36971 10 0.157479 15.5131 4.94664 3.02484 11 0.148423 19.4568 5.15275 3.63481 12 0.142076 23.4079 5.33051 4.21477 13 0.137297 27.3638 5.48823 4.77286 14 0.133523 31.3231 5.63089 5.31405 15 0.130439 35.2849 5.76170 5.84164 16 0.127855 39.2488 5.88292 6.35798 17 0.125645 43.2142 5.99617 6.86478 18 0.123726 47.1810 6.10266 7.36336 19 0.122037 51.1489 6.20334 7.85476 20 0.120535 55.1178 6.29897 8.33979 21 0.119187 59.0875 6.39014 8.81915 22 0.117968 63.0580 6.47734 9.29338 23 0.116858 67.0292 6.56100 9.76296 24 0.115841 71.0009 6.64146 10.2283 25 0.114904 74.9732 6.71900 10.6897 26 0.114038 78.9460 6.79390 11.1476 27 0.113233 82.9192 6.86635 11.6021 28 0.112482 86.8929 6.93657 12.0535 29 0.111780 90.8669 7.00471 12.5019 30 0.111121 94.8412 7.07093 12.9477 31 0.110501 98.8159 7.13536 13.3909 32 0.109916 102.791 7.19811 13.8317 33 0.109363 106.766 7.25929 14.2703 34 0.108839 110.742 7.31900 14.7066 35 0.108341 114.718 7.37733 15.1410 36 0.107867 118.694 7.43435 15.5734 37 0.107415 122.670 7.49013 16.0039 38 0.106984 126.646 7.54474 16.4327 39 0.106572 130.623 7.59825 16.8598 40 0.106178 134.600 7.65070 17.2853 Number of limit points found was 0 P06_LIMIT_TEST Compute a series of solutions for problem 6. We are trying to find limit points X such that TAN( 7) = 0. The option chosen is 1 # Tan(7) X1 X2 X3 X4 X5 X6 X7 X8 Roll Pitch Yaw Attack Sideslip Elevator Aileron Rudder -1 0.10340 0.00106 0.05121 0.00006 0.05961 0.00003 -0.05000 0.00000 0.00000 0 0.10340 0.00106 0.05121 0.00006 0.05961 0.00003 -0.05000 0.00000 0.00000 1 0.10387 0.24928 0.05193 0.01460 0.05973 0.00240 -0.05000 -0.02589 0.00000 2 0.10812 0.74569 0.05815 0.04430 0.06072 0.00782 -0.05000 -0.07870 0.00000 3 0.11914 1.24169 0.07370 0.07571 0.06267 0.01565 -0.05000 -0.13519 0.00000 4 0.14426 1.73645 0.10773 0.10927 0.06540 0.02921 -0.05000 -0.20040 0.00000 5 0.20011 2.22725 0.18628 0.14193 0.06782 0.05696 -0.05000 -0.28594 0.00000 6 0.26067 2.70056 0.40032 0.15088 0.06404 0.12763 -0.05000 -0.41642 0.00000 7 0.10250 2.92176 0.69780 0.10330 0.04923 0.22485 -0.05000 -0.49728 0.00000 L -0.00000 2.96487 0.82556 0.07366 0.04131 0.26735 -0.05000 -0.50481 0.00000 8 -0.22560 3.00758 1.12804 -0.00658 0.02089 0.37092 -0.05000 -0.46540 0.00000 9 -0.45500 2.98907 1.57137 -0.13272 -0.01019 0.53192 -0.05000 -0.28070 0.00000 10 -0.58421 2.93294 1.97136 -0.24454 -0.03743 0.68777 -0.05000 -0.00378 0.00000 11 -0.65734 2.87433 2.29532 -0.33115 -0.05846 0.82182 -0.05000 0.28832 0.00000 12 -0.71011 2.81312 2.60175 -0.40956 -0.07747 0.95539 -0.05000 0.61699 0.00000 13 -0.74968 2.75251 2.89056 -0.48055 -0.09463 1.08759 -0.05000 0.97204 0.00000 14 -0.78035 2.69382 3.16296 -0.54523 -0.11022 1.21819 -0.05000 1.34689 0.00000 15 -0.80476 2.63753 3.42041 -0.60462 -0.12445 1.34719 -0.05000 1.73706 0.00000 16 -0.82461 2.58376 3.66429 -0.65956 -0.13753 1.47468 -0.05000 2.13944 0.00000 17 -0.84104 2.53243 3.89587 -0.71075 -0.14961 1.60078 -0.05000 2.55174 0.00000 18 -0.85485 2.48343 4.11624 -0.75873 -0.16083 1.72562 -0.05000 2.97226 0.00000 19 -0.86661 2.43659 4.32636 -0.80397 -0.17129 1.84932 -0.05000 3.39969 0.00000 20 -0.87673 2.39175 4.52706 -0.84683 -0.18108 1.97200 -0.05000 3.83300 0.00000 21 -0.88552 2.34877 4.71906 -0.88763 -0.19028 2.09375 -0.05000 4.27136 0.00000 22 -0.89321 2.30750 4.90300 -0.92661 -0.19894 2.21467 -0.05000 4.71412 0.00000 23 -0.89999 2.26781 5.07945 -0.96399 -0.20713 2.33484 -0.05000 5.16072 0.00000 24 -0.90600 2.22960 5.24890 -0.99996 -0.21487 2.45433 -0.05000 5.61072 0.00000 25 -0.91137 2.19275 5.41179 -1.03467 -0.22222 2.57321 -0.05000 6.06372 0.00000 26 -0.91617 2.15717 5.56853 -1.06824 -0.22920 2.69155 -0.05000 6.51940 0.00000 27 -0.92050 2.12278 5.71947 -1.10081 -0.23584 2.80938 -0.05000 6.97749 0.00000 28 -0.92441 2.08951 5.86494 -1.13248 -0.24217 2.92677 -0.05000 7.43774 0.00000 29 -0.92795 2.05728 6.00524 -1.16332 -0.24822 3.04375 -0.05000 7.89994 0.00000 30 -0.93117 2.02604 6.14064 -1.19342 -0.25399 3.16037 -0.05000 8.36392 0.00000 Number of limit points found was 1 P06_LIMIT_TEST Compute a series of solutions for problem 6. We are trying to find limit points X such that TAN( 7) = 0. The option chosen is 2 # Tan(7) X1 X2 X3 X4 X5 X6 X7 X8 Roll Pitch Yaw Attack Sideslip Elevator Aileron Rudder -1 0.08312 0.00000 0.00819 -0.00000 0.00954 0.00000 -0.00800 0.00002 0.00000 0 0.08312 0.00000 0.00819 -0.00000 0.00954 0.00000 -0.00800 0.00002 0.00000 1 0.08307 0.24911 0.00765 0.00300 0.00959 -0.00239 -0.00800 -0.02076 0.00000 2 0.08256 0.74731 0.00307 0.00939 0.01001 -0.00748 -0.00800 -0.06220 0.00000 3 0.08116 1.24548 -0.00736 0.01705 0.01096 -0.01363 -0.00800 -0.10318 0.00000 4 0.07753 1.74350 -0.02717 0.02759 0.01276 -0.02213 -0.00800 -0.14302 0.00000 5 0.06635 2.24099 -0.06576 0.04476 0.01626 -0.03600 -0.00800 -0.17963 0.00000 6 0.01852 2.73602 -0.15231 0.08018 0.02419 -0.06402 -0.00800 -0.20414 0.00000 L 0.00000 2.81738 -0.17629 0.08993 0.02643 -0.07148 -0.00800 -0.20497 0.00000 7 -0.18203 3.21418 -0.37101 0.17376 0.04581 -0.12926 -0.00800 -0.16779 0.00000 8 -0.29131 3.60288 -0.62796 0.32894 0.08057 -0.19628 -0.00800 -0.02552 0.00000 L -0.00000 3.75792 -0.65542 0.38658 0.09252 -0.19867 -0.00800 0.00621 0.00000 9 0.51023 4.01225 -0.47368 0.39726 0.09192 -0.14063 -0.00800 -0.12717 0.00000 10 0.30711 4.16209 -0.13629 0.25001 0.05733 -0.04620 -0.00800 -0.33026 0.00000 L -0.00000 4.16383 0.08913 0.09481 0.02289 0.01623 -0.00800 -0.37766 0.00000 11 -0.12251 3.95691 0.25052 -0.01705 -0.00176 0.06410 -0.00800 -0.35039 0.00000 12 -0.21773 3.52393 0.51484 -0.11720 -0.02525 0.15364 -0.00800 -0.26628 0.00000 13 -0.36667 3.28022 0.83278 -0.20710 -0.04737 0.26873 -0.00800 -0.13519 0.00000 14 -0.50413 3.10045 1.20660 -0.30173 -0.07104 0.41252 -0.00800 0.08498 0.00000 15 -0.60445 2.96349 1.57290 -0.38756 -0.09268 0.56249 -0.00800 0.37259 0.00000 16 -0.67022 2.86124 1.88621 -0.45710 -0.11025 0.69823 -0.00800 0.67482 0.00000 17 -0.71992 2.77179 2.18379 -0.52063 -0.12628 0.83391 -0.00800 1.00993 0.00000 18 -0.75814 2.69200 2.46485 -0.57884 -0.14090 0.96846 -0.00800 1.36989 0.00000 19 -0.78811 2.61978 2.73003 -0.63251 -0.15429 1.10149 -0.00800 1.74896 0.00000 20 -0.81210 2.55365 2.98044 -0.68232 -0.16661 1.23290 -0.00800 2.14301 0.00000 21 -0.83164 2.49252 3.21732 -0.72884 -0.17799 1.36274 -0.00800 2.54906 0.00000 22 -0.84781 2.43560 3.44181 -0.77257 -0.18856 1.49110 -0.00800 2.96488 0.00000 23 -0.86137 2.38227 3.65500 -0.81389 -0.19842 1.61810 -0.00800 3.38879 0.00000 24 -0.87288 2.33204 3.85782 -0.85313 -0.20763 1.74388 -0.00800 3.81947 0.00000 25 -0.88276 2.28453 4.05110 -0.89056 -0.21628 1.86854 -0.00800 4.25591 0.00000 26 -0.89132 2.23942 4.23559 -0.92640 -0.22443 1.99220 -0.00800 4.69730 0.00000 27 -0.89878 2.19646 4.41194 -0.96085 -0.23210 2.11495 -0.00800 5.14295 0.00000 28 -0.90533 2.15542 4.58071 -0.99407 -0.23937 2.23688 -0.00800 5.59234 0.00000 29 -0.91113 2.11613 4.74243 -1.02619 -0.24625 2.35808 -0.00800 6.04501 0.00000 30 -0.91628 2.07844 4.89754 -1.05734 -0.25278 2.47862 -0.00800 6.50057 0.00000 Number of limit points found was 3 P06_LIMIT_TEST Compute a series of solutions for problem 6. We are trying to find limit points X such that TAN( 7) = 0. The option chosen is 3 # Tan(7) X1 X2 X3 X4 X5 X6 X7 X8 Roll Pitch Yaw Attack Sideslip Elevator Aileron Rudder -1 0.08254 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0 0.08254 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 1 0.08248 0.24912 -0.00082 0.00083 0.00004 -0.00343 0.00000 -0.02063 0.00000 2 0.08189 0.74736 -0.00773 0.00283 0.00036 -0.01083 0.00000 -0.06176 0.00000 3 0.08011 1.24549 -0.02394 0.00612 0.00116 -0.02015 0.00000 -0.10234 0.00000 4 0.07481 1.74323 -0.05632 0.01270 0.00289 -0.03397 0.00000 -0.14137 0.00000 5 0.05445 2.23939 -0.12424 0.02836 0.00698 -0.05860 0.00000 -0.17511 0.00000 L 0.00000 2.58733 -0.22355 0.05468 0.01368 -0.09169 -0.00000 -0.18691 0.00000 6 -0.04763 2.72705 -0.28761 0.07326 0.01832 -0.11218 0.00000 -0.18342 0.00000 7 -0.24123 3.04040 -0.51612 0.14788 0.03662 -0.18180 -0.00000 -0.12690 0.00000 8 -0.47806 3.33417 -0.83350 0.27657 0.06719 -0.27014 0.00000 0.05477 0.00000 9 -0.59548 3.57125 -1.06684 0.41118 0.09782 -0.32612 0.00000 0.29380 0.00000 10 -0.19856 3.85755 -1.15991 0.56379 0.13009 -0.33441 -0.00000 0.50522 0.00000 L -0.00000 3.90051 -1.14815 0.58156 0.13352 -0.32859 0.00000 0.51016 0.00000 11 0.29824 3.96729 -1.11483 0.60459 0.13769 -0.31571 -0.00000 0.49738 0.00000 12 0.51715 4.04390 -1.05368 0.62243 0.14040 -0.29528 -0.00000 0.44950 0.00000 13 0.64430 4.15310 -0.92522 0.62731 0.13950 -0.25637 0.00000 0.32021 0.00000 14 0.63693 4.33636 -0.62358 0.56483 0.12248 -0.17205 0.00000 -0.00194 0.00000 15 0.45677 4.51943 -0.30823 0.42192 0.08911 -0.08792 -0.00000 -0.27643 0.00000 16 0.20279 4.73707 -0.07427 0.25984 0.05313 -0.02689 -0.00000 -0.40582 0.00000 17 0.08151 5.09608 0.05956 0.13284 0.02569 0.00665 0.00000 -0.45658 0.00000 18 0.07618 5.57610 0.10494 0.07360 0.01315 0.01646 0.00000 -0.49384 0.00000 19 0.07956 6.07275 0.11795 0.04865 0.00797 0.01811 0.00000 -0.53275 0.00000 20 0.08164 6.57081 0.12204 0.03581 0.00536 0.01776 0.00000 -0.57309 0.00000 21 0.08282 7.06904 0.12318 0.02817 0.00384 0.01688 0.00000 -0.61423 0.00000 22 0.08353 7.56729 0.12322 0.02317 0.00286 0.01591 0.00000 -0.65583 0.00000 23 0.08398 8.06552 0.12283 0.01967 0.00219 0.01496 0.00000 -0.69771 0.00000 24 0.08429 8.56374 0.12228 0.01710 0.00171 0.01408 0.00000 -0.73979 0.00000 25 0.08451 9.06196 0.12171 0.01514 0.00134 0.01328 0.00000 -0.78199 0.00000 26 0.08467 9.56017 0.12114 0.01359 0.00107 0.01256 0.00000 -0.82429 0.00000 27 0.08479 10.05837 0.12062 0.01234 0.00085 0.01191 -0.00000 -0.86665 0.00000 28 0.08488 10.55657 0.12013 0.01131 0.00067 0.01132 0.00000 -0.90907 0.00000 29 0.08495 11.05476 0.11970 0.01044 0.00052 0.01078 0.00000 -0.95152 0.00000 30 0.08501 11.55295 0.11930 0.00971 0.00040 0.01029 -0.00000 -0.99402 0.00000 Number of limit points found was 2 P06_LIMIT_TEST Compute a series of solutions for problem 6. We are trying to find limit points X such that TAN( 7) = 0. The option chosen is 4 # Tan(7) X1 X2 X3 X4 X5 X6 X7 X8 Roll Pitch Yaw Attack Sideslip Elevator Aileron Rudder -1 0.10543 -0.00001 -0.05121 0.00001 -0.05961 -0.00002 0.05000 -0.00012 0.00000 0 0.10543 -0.00001 -0.05121 0.00001 -0.05961 -0.00002 0.05000 -0.00012 0.00000 1 0.10624 0.24804 -0.05397 -0.01244 -0.05964 -0.01104 0.05000 -0.02655 0.00000 2 0.11283 0.74396 -0.07790 -0.03692 -0.05979 -0.03563 0.05000 -0.08110 0.00000 3 0.12770 1.23794 -0.13720 -0.05914 -0.05958 -0.06948 0.05000 -0.14122 0.00000 4 0.14464 1.72446 -0.26546 -0.07250 -0.05719 -0.12564 0.05000 -0.21152 0.00000 5 0.08935 2.18127 -0.53836 -0.05685 -0.04755 -0.22886 0.05000 -0.28259 0.00000 L 0.00000 2.36398 -0.72974 -0.03160 -0.03879 -0.29584 0.05000 -0.29577 0.00000 6 -0.07066 2.46053 -0.85818 -0.01098 -0.03231 -0.33906 0.05000 -0.28997 0.00000 7 -0.30035 2.69141 -1.24932 0.06454 -0.01030 -0.46348 0.05000 -0.19995 0.00000 8 -0.51805 2.88339 -1.65117 0.15831 0.01545 -0.58092 0.05000 0.01472 0.00000 9 -0.65363 3.01888 -1.95627 0.24050 0.03726 -0.66313 0.05000 0.27374 0.00000 10 -0.75284 3.14360 -2.23659 0.32616 0.05941 -0.73304 0.05000 0.60056 0.00000 11 -0.82187 3.25877 -2.48347 0.41230 0.08116 -0.78957 0.05000 0.97698 0.00000 12 -0.86950 3.36652 -2.69547 0.49776 0.10225 -0.83354 0.05000 1.38792 0.00000 13 -0.90264 3.46915 -2.87394 0.58249 0.12270 -0.86622 0.05000 1.82267 0.00000 14 -0.92579 3.56902 -3.02056 0.66713 0.14264 -0.88865 0.05000 2.27399 0.00000 15 -0.94143 3.66871 -3.13602 0.75280 0.16234 -0.90134 0.05000 2.73688 0.00000 16 -0.95004 3.77164 -3.21887 0.84140 0.18215 -0.90396 0.05000 3.20760 0.00000 17 -0.94772 3.88365 -3.26301 0.93653 0.20273 -0.89456 0.05000 3.68261 0.00000 18 -0.90257 4.02020 -3.24687 1.04796 0.22580 -0.86589 0.05000 4.15647 0.00000 19 -0.74241 4.12169 -3.18262 1.12522 0.24097 -0.83267 0.05000 4.39299 0.00000 L -0.00000 4.24175 -3.04805 1.20725 0.25606 -0.78093 0.05000 4.50010 0.00000 20 0.26430 4.27582 -2.99846 1.22813 0.25967 -0.76395 0.05000 4.49087 0.00000 21 0.68795 4.37325 -2.82993 1.28048 0.26804 -0.71031 0.05000 4.35872 0.00000 22 0.83598 4.48419 -2.59403 1.32379 0.27354 -0.64136 0.05000 4.01474 0.00000 23 0.87935 4.57436 -2.37402 1.34321 0.27433 -0.58079 0.05000 3.59675 0.00000 24 0.89651 4.65257 -2.16892 1.34675 0.27210 -0.52647 0.05000 3.15708 0.00000 25 0.90318 4.72542 -1.97176 1.33810 0.26751 -0.47566 0.05000 2.70883 0.00000 26 0.90354 4.79716 -1.77756 1.31823 0.26070 -0.42664 0.05000 2.25724 0.00000 27 0.89836 4.87145 -1.58235 1.28660 0.25153 -0.37818 0.05000 1.80547 0.00000 28 0.88637 4.95252 -1.38230 1.24125 0.23955 -0.32918 0.05000 1.35629 0.00000 29 0.86338 5.04677 -1.17308 1.17840 0.22396 -0.27848 0.05000 0.91311 0.00000 30 0.81836 5.16611 -0.94902 1.09114 0.20335 -0.22469 0.05000 0.48142 0.00000 Number of limit points found was 2 P06_LIMIT_TEST Compute a series of solutions for problem 6. We are trying to find limit points X such that TAN( 7) = 0. The option chosen is 5 # Tan(7) X1 X2 X3 X4 X5 X6 X7 X8 Roll Pitch Yaw Attack Sideslip Elevator Aileron Rudder -1 0.18196 -0.00003 -0.10241 0.00001 -0.11921 -0.00005 0.10000 -0.00027 0.00000 0 0.18196 -0.00003 -0.10241 0.00001 -0.11921 -0.00005 0.10000 -0.00027 0.00000 1 0.18552 0.24367 -0.10761 -0.02460 -0.11928 -0.02109 0.10000 -0.04609 0.00000 2 0.21505 0.73020 -0.15307 -0.07282 -0.11961 -0.06883 0.10000 -0.14561 0.00000 3 0.27638 1.20785 -0.26710 -0.11523 -0.11913 -0.13642 0.10000 -0.27082 0.00000 4 0.32369 1.65382 -0.50332 -0.13814 -0.11447 -0.24528 0.10000 -0.43805 0.00000 5 0.27479 1.93329 -0.78194 -0.12981 -0.10559 -0.35854 0.10000 -0.57087 0.00000 6 0.13300 2.16644 -1.14208 -0.09616 -0.09116 -0.49284 0.10000 -0.66811 0.00000 L 0.00000 2.29922 -1.41023 -0.06185 -0.07901 -0.58630 0.10000 -0.68972 0.00000 7 -0.07681 2.36299 -1.55532 -0.04094 -0.07204 -0.63483 0.10000 -0.68333 0.00000 8 -0.30887 2.53396 -1.99026 0.02971 -0.04966 -0.77246 0.10000 -0.58558 0.00000 9 -0.51076 2.68421 -2.41364 0.10877 -0.02587 -0.89582 0.10000 -0.36956 0.00000 10 -0.65778 2.81555 -2.79974 0.18973 -0.00233 -0.99952 0.10000 -0.05607 0.00000 11 -0.74579 2.91643 -3.09757 0.25864 0.01718 -1.07376 0.10000 0.27282 0.00000 12 -0.80853 3.00908 -3.36663 0.32655 0.03603 -1.13638 0.10000 0.64571 0.00000 13 -0.85330 3.09443 -3.60690 0.39267 0.05403 -1.18850 0.10000 1.04998 0.00000 14 -0.88574 3.17361 -3.82053 0.45677 0.07117 -1.23156 0.10000 1.47663 0.00000 15 -0.90972 3.24768 -4.01022 0.51893 0.08752 -1.26692 0.10000 1.91950 0.00000 16 -0.92780 3.31756 -4.17854 0.57934 0.10316 -1.29568 0.10000 2.37436 0.00000 17 -0.94169 3.38403 -4.32774 0.63822 0.11817 -1.31876 0.10000 2.83826 0.00000 18 -0.95251 3.44773 -4.45965 0.69581 0.13263 -1.33685 0.10000 3.30910 0.00000 19 -0.96104 3.50921 -4.57579 0.75234 0.14662 -1.35051 0.10000 3.78536 0.00000 20 -0.96782 3.56895 -4.67734 0.80803 0.16020 -1.36016 0.10000 4.26588 0.00000 21 -0.97320 3.62739 -4.76519 0.86313 0.17343 -1.36611 0.10000 4.74979 0.00000 22 -0.97745 3.68494 -4.83998 0.91785 0.18638 -1.36858 0.10000 5.23639 0.00000 23 -0.98073 3.74202 -4.90209 0.97245 0.19910 -1.36771 0.10000 5.72511 0.00000 24 -0.98313 3.79906 -4.95162 1.02722 0.21166 -1.36351 0.10000 6.21548 0.00000 25 -0.98465 3.85657 -4.98836 1.08249 0.22412 -1.35594 0.10000 6.70704 0.00000 26 -0.98520 3.91514 -5.01167 1.13870 0.23658 -1.34479 0.10000 7.19937 0.00000 27 -0.98446 3.97559 -5.02030 1.19643 0.24913 -1.32967 0.10000 7.69197 0.00000 28 -0.98169 4.03910 -5.01200 1.25654 0.26192 -1.30988 0.10000 8.18419 0.00000 29 -0.97499 4.10760 -4.98257 1.32046 0.27519 -1.28410 0.10000 8.67504 0.00000 30 -0.95815 4.18488 -4.92328 1.39099 0.28940 -1.24961 0.10000 9.16253 0.00000 Number of limit points found was 1 TEST_CON_PRB Normal end of execution. October 21 2008 8:30:56.686 AM