7 September 2021 6:51:30.319 PM CHEBYSHEV_SERIES_TEST: FORTRAN90 version Test the CHEBYSHEV_SERIES libary. TEST01: ECHEBSER3 computes a Chebyshev series approximation and the first three derivatives. Errors of a Chebyshev series for exp(x) x err(y) err(y') err(y") err(y"') -1.0000 0.111022E-15 0.111022E-15 -0.166533E-15 -0.410783E-14 -0.9000 0.555112E-16 0.00000 0.222045E-15 0.555112E-16 -0.8000 -0.555112E-16 0.555112E-16 0.00000 0.00000 -0.7000 0.555112E-16 -0.111022E-15 0.555112E-16 0.166533E-15 -0.6000 0.111022E-15 0.111022E-15 0.00000 -0.111022E-15 -0.5000 0.222045E-15 0.111022E-15 -0.111022E-15 0.00000 -0.4000 0.00000 0.00000 -0.111022E-15 0.222045E-15 -0.3000 0.111022E-15 -0.111022E-15 0.111022E-15 0.00000 -0.2000 0.00000 0.111022E-15 0.00000 0.333067E-15 -0.1000 0.00000 0.00000 0.00000 0.111022E-15 0.0000 0.222045E-15 0.00000 0.00000 0.00000 0.1000 0.00000 0.00000 -0.222045E-15 0.00000 0.2000 0.222045E-15 0.00000 -0.444089E-15 0.00000 0.3000 -0.222045E-15 -0.444089E-15 0.00000 0.222045E-15 0.4000 0.222045E-15 0.222045E-15 0.444089E-15 0.00000 0.5000 0.222045E-15 0.222045E-15 0.444089E-15 -0.444089E-15 0.6000 0.222045E-15 -0.222045E-15 0.222045E-15 0.00000 0.7000 0.00000 -0.444089E-15 -0.444089E-15 -0.888178E-15 0.8000 -0.444089E-15 -0.444089E-15 -0.444089E-15 0.00000 0.9000 0.00000 0.00000 0.00000 0.00000 1.0000 0.444089E-15 0.00000 0.00000 -0.799361E-14 TEST02: EVENCHEBSER2 computes an even Chebyshev series and its first two derivatives. Errors of an even Chebyshev series for cos(pi*x/2): x err(y) err(y') err(y") 0.0000 0.00000 0.00000 -0.444089E-15 0.1000 -0.111022E-15 -0.277556E-16 0.00000 0.2000 0.00000 -0.555112E-16 0.00000 0.3000 0.00000 -0.222045E-15 -0.444089E-15 0.4000 -0.111022E-15 0.00000 0.00000 0.5000 0.00000 0.00000 0.00000 0.6000 0.00000 -0.222045E-15 -0.666134E-15 0.7000 0.555112E-16 -0.222045E-15 -0.444089E-15 0.8000 -0.166533E-15 -0.222045E-15 0.333067E-15 0.9000 -0.555112E-16 0.00000 0.00000 1.0000 -0.577629E-16 -0.222045E-15 0.151085E-15 TEST03: ODDCHEBSER2 computes an odd Chebyshev series approximation. and its first two derivatives. Errors of an odd Chebyshev series y(x) approximating sinh(x): x err(y) err(y') err(y") 0.0000 0.00000 0.00000 0.00000 0.1000 0.277556E-16 0.444089E-15 0.138778E-16 0.2000 0.00000 0.00000 0.00000 0.3000 0.00000 0.00000 0.00000 0.4000 0.111022E-15 0.00000 0.00000 0.5000 0.00000 0.222045E-15 0.00000 0.6000 0.222045E-15 0.444089E-15 0.222045E-15 0.7000 0.222045E-15 0.222045E-15 0.222045E-15 0.8000 0.111022E-15 0.222045E-15 0.111022E-15 0.9000 0.00000 -0.222045E-15 0.222045E-15 1.0000 0.444089E-15 0.444089E-15 -0.222045E-15 CHEBYSHEV_SERIES_TEST: Normal end of execution. 7 September 2021 6:51:30.319 PM