20060113 072126.000 TOMS461_PRB: Tests for ACM algorithm 461. TEST01 SPNBVP computes a cubic spline approximation to the solution of x"(t)=p(t)*x(t)+q(t)*x(g(t))+r(t) on the interval [a,b], with boundary conditions: x(t) = u(t) for t <= a, x(t) = v(t) for b <= t. Because of the argument g(t), this is a more complicated problem than it seems. A = 0.0000 B = 3.1416 Error tolerance EP = 0.100000E-03 T X Exact Error 0.0393 0.392590E-01 0.392598E-01 0.78E-06 0.0785 0.784575E-01 0.784591E-01 0.16E-05 0.1178 0.117535 0.117537 0.23E-05 0.1571 0.156431 0.156434 0.31E-05 0.1963 0.195087 0.195090 0.38E-05 0.2356 0.233441 0.233445 0.45E-05 0.2749 0.271435 0.271440 0.52E-05 0.3142 0.309011 0.309017 0.58E-05 0.3534 0.346111 0.346117 0.63E-05 0.3927 0.382677 0.382683 0.69E-05 0.4320 0.418652 0.418660 0.74E-05 0.4712 0.453983 0.453991 0.77E-05 0.5105 0.488613 0.488621 0.80E-05 0.5498 0.522490 0.522499 0.82E-05 0.5890 0.555562 0.555570 0.83E-05 0.6283 0.587777 0.587785 0.85E-05 0.6676 0.619085 0.619094 0.85E-05 0.7069 0.649440 0.649448 0.85E-05 0.7461 0.678792 0.678801 0.85E-05 0.7854 0.707098 0.707107 0.83E-05 0.8247 0.734315 0.734323 0.80E-05 0.8639 0.760398 0.760406 0.77E-05 0.9032 0.785310 0.785317 0.72E-05 0.9425 0.809010 0.809017 0.67E-05 0.9817 0.831464 0.831470 0.61E-05 1.0210 0.852635 0.852640 0.53E-05 1.0603 0.872491 0.872496 0.47E-05 1.0996 0.891002 0.891007 0.41E-05 1.1388 0.908140 0.908143 0.33E-05 1.1781 0.923877 0.923880 0.25E-05 1.2174 0.938190 0.938191 0.16E-05 1.2566 0.951056 0.951057 0.54E-06 1.2959 0.962456 0.962455 0.66E-06 1.3352 0.972372 0.972370 0.19E-05 1.3744 0.980788 0.980785 0.32E-05 1.4137 0.987693 0.987688 0.45E-05 1.4530 0.993074 0.993068 0.58E-05 1.4923 0.996924 0.996917 0.72E-05 1.5315 0.999238 0.999229 0.85E-05 1.5708 1.00001 1.00000 0.98E-05 1.6101 0.999240 0.999229 0.11E-04 1.6493 0.996930 0.996917 0.12E-04 1.6886 0.993082 0.993068 0.14E-04 1.7279 0.987704 0.987688 0.15E-04 1.7671 0.980802 0.980785 0.16E-04 1.8064 0.972388 0.972370 0.18E-04 1.8457 0.962474 0.962455 0.19E-04 1.8850 0.951077 0.951056 0.20E-04 1.9242 0.938213 0.938191 0.21E-04 1.9635 0.923902 0.923880 0.22E-04 2.0028 0.908167 0.908143 0.23E-04 2.0420 0.891031 0.891006 0.24E-04 2.0813 0.872521 0.872496 0.25E-04 2.1206 0.852666 0.852640 0.26E-04 2.1598 0.831496 0.831470 0.26E-04 2.1991 0.809044 0.809017 0.27E-04 2.2384 0.785344 0.785317 0.27E-04 2.2777 0.760434 0.760406 0.28E-04 2.3169 0.734351 0.734322 0.28E-04 2.3562 0.707135 0.707107 0.28E-04 2.3955 0.678829 0.678801 0.28E-04 2.4347 0.649476 0.649448 0.28E-04 2.4740 0.619122 0.619094 0.28E-04 2.5133 0.587813 0.587785 0.28E-04 2.5525 0.555598 0.555570 0.27E-04 2.5918 0.522525 0.522498 0.27E-04 2.6311 0.488647 0.488621 0.26E-04 2.6704 0.454015 0.453990 0.25E-04 2.7096 0.418684 0.418660 0.24E-04 2.7489 0.382706 0.382683 0.23E-04 2.7882 0.346138 0.346117 0.21E-04 2.8274 0.309036 0.309017 0.19E-04 2.8667 0.271458 0.271440 0.18E-04 2.9060 0.233461 0.233445 0.16E-04 2.9452 0.195104 0.195090 0.14E-04 2.9845 0.156446 0.156434 0.11E-04 3.0238 0.117546 0.117537 0.87E-05 3.0631 0.784650E-01 0.784590E-01 0.60E-05 3.1023 0.392628E-01 0.392597E-01 0.31E-05 TOMS461_PRB: Normal end of execution. 20060113 072126.000