07-Jan-2022 18:00:46 chebyshev_series_test(): MATLAB/Octave version 9.8.0.1380330 (R2020a) Update 2. Test CHEBYSHEV_SERIES. CHEBYSHEV_SERIES_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 1.11022e-16 1.11022e-16 -1.66533e-16 -4.10783e-15 -0.9000 5.55112e-17 0 2.22045e-16 5.55112e-17 -0.8000 -5.55112e-17 5.55112e-17 0 0 -0.7000 5.55112e-17 -1.11022e-16 5.55112e-17 1.66533e-16 -0.6000 0 0 -1.11022e-16 -2.22045e-16 -0.5000 2.22045e-16 1.11022e-16 -1.11022e-16 0 -0.4000 0 0 -1.11022e-16 2.22045e-16 -0.3000 1.11022e-16 -1.11022e-16 1.11022e-16 0 -0.2000 0 1.11022e-16 0 3.33067e-16 -0.1000 0 0 0 1.11022e-16 0.0000 2.22045e-16 0 0 0 0.1000 0 0 -2.22045e-16 0 0.2000 2.22045e-16 0 -4.44089e-16 0 0.3000 -2.22045e-16 -4.44089e-16 0 2.22045e-16 0.4000 2.22045e-16 2.22045e-16 4.44089e-16 0 0.5000 2.22045e-16 2.22045e-16 4.44089e-16 -4.44089e-16 0.6000 2.22045e-16 -2.22045e-16 2.22045e-16 0 0.7000 0 -4.44089e-16 -4.44089e-16 -8.88178e-16 0.8000 -4.44089e-16 -4.44089e-16 -4.44089e-16 0 0.9000 0 0 0 0 1.0000 0 -4.44089e-16 -4.44089e-16 -8.43769e-15 CHEBYSHEV_SERIES_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 0 -4.44089e-16 0.1000 -1.11022e-16 -2.77556e-17 0 0.2000 0 -5.55112e-17 0 0.3000 0 -2.22045e-16 -4.44089e-16 0.4000 -1.11022e-16 0 0 0.5000 0 0 0 0.6000 0 -2.22045e-16 -6.66134e-16 0.7000 0 -2.22045e-16 -2.22045e-16 0.8000 -1.66533e-16 -2.22045e-16 3.33067e-16 0.9000 -5.55112e-17 0 0 1.0000 -5.77629e-17 -2.22045e-16 1.51085e-16 CHEBYSHEV_SERIES_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 0 0 0.1000 2.77556e-17 4.44089e-16 1.38778e-17 0.2000 0 0 0 0.3000 0 0 0 0.4000 1.11022e-16 0 0 0.5000 0 2.22045e-16 0 0.6000 2.22045e-16 4.44089e-16 2.22045e-16 0.7000 2.22045e-16 2.22045e-16 2.22045e-16 0.8000 1.11022e-16 2.22045e-16 1.11022e-16 0.9000 0 -2.22045e-16 2.22045e-16 1.0000 4.44089e-16 2.22045e-16 -2.22045e-16 CHEBYSHEV_SERIES_TEST: Normal end of execution. 07-Jan-2022 18:00:47