March 11 2008 2:42:14.798 PM EXPONENTIAL: FORTRAN90 version. TEST01: Try using a Taylor series with fixed number of terms. X EXP(X) Approx(X) Error -10.0000 0.453999E-04 -542.333 542.3 -5.00000 0.673795E-02 -12.3333 12.34 -1.00000 0.367879 0.366667 0.1213E-02 0.00000 1.00000 1.00000 0.000 0.100000E-07 1.00000 1.00000 0.000 0.100000E-03 1.00010 1.00010 0.000 0.100000E-02 1.00100 1.00100 0.000 0.100000E-01 1.01005 1.01005 0.1110E-14 0.100000 1.10517 1.10517 0.1409E-08 0.200000 1.22140 1.22140 0.9149E-07 0.300000 1.34986 1.34986 0.1058E-05 0.400000 1.49182 1.49182 0.6031E-05 0.500000 1.64872 1.64870 0.2335E-04 0.600000 1.82212 1.82205 0.7080E-04 0.700000 2.01375 2.01357 0.1813E-03 0.800000 2.22554 2.22513 0.4103E-03 0.900000 2.45960 2.45876 0.8449E-03 1.00000 2.71828 2.71667 0.1615E-02 2.00000 7.38906 7.26667 0.1224 3.14159 23.1407 20.8530 2.288 5.00000 148.413 91.4167 57.00 10.0000 22026.5 1477.67 0.2055E+05 20.0000 0.485165E+09 34887.7 0.4851E+09 40.0000 0.235385E+18 971508. 0.2354E+18 TEST02: Try using a Taylor series with fixed number of terms and scaling X to be between 0 and 1. X EXP(X) Approx(X) Error -10.0000 0.453999E-04 0.453999E-04 0.2711E-19 -5.00000 0.673795E-02 0.673795E-02 0.2602E-17 -1.00000 0.367879 0.367879 0.000 0.00000 1.00000 1.00000 0.000 0.100000E-07 1.00000 1.00000 0.000 0.100000E-03 1.00010 1.00010 0.000 0.100000E-02 1.00100 1.00100 0.000 0.100000E-01 1.01005 1.01005 0.1110E-14 0.100000 1.10517 1.10517 0.1409E-08 0.200000 1.22140 1.22140 0.9149E-07 0.300000 1.34986 1.34986 0.1058E-05 0.400000 1.49182 1.49182 0.6031E-05 0.500000 1.64872 1.64870 0.2335E-04 0.600000 1.82212 1.82205 0.7080E-04 0.700000 2.01375 2.01357 0.1813E-03 0.800000 2.22554 2.22513 0.4103E-03 0.900000 2.45960 2.45876 0.8449E-03 1.00000 2.71828 2.71667 0.1615E-02 2.00000 7.38906 7.38467 0.4390E-02 3.14159 23.1407 23.1407 0.2294E-06 5.00000 148.413 148.325 0.8818E-01 10.0000 22026.5 22013.4 13.09 20.0000 0.485165E+09 0.484877E+09 0.2883E+06 40.0000 0.235385E+18 0.235245E+18 0.1399E+15 EXPONENTIAL: Normal end of execution. March 11 2008 2:42:14.802 PM