25-Jul-2022 22:03:55 toms446_test(): MATLAB/Octave version 9.8.0.1380330 (R2020a) Update 2 Test toms446(). cheby_test(): cheby() computes the Chebyshev series for several functions. Sin(x) Cos(x) Sin(2x) Cos(2x) X^5 0.0000 2 0.0000 0.4478 0.0000 0.8801 0 1.1534 -0.0000 0.6250 0.0000 -0 0.0000 -0.7057 0.0000 -0.0391 -0 -0.2579 -0.0000 0.3125 -0.0000 0 -0.0000 0.0680 0.0000 0.0005 -0 0.0141 -0.0000 0.0625 0.0000 -0 0.0000 -0.0024 0.0000 -0.0000 0 -0.0003 0.0000 0.0000 0.0000 0 0.0000 0.0000 -0.0000 0.0000 0 0.0000 0.0000 -0.0000 dfrnt_test(): dfrnt() computes the Chebyshev series for the derivative of several functions. Chebyshev series for d/dx of: Sin(x) Cos(x) Sin(2x) Cos(2x) X^5 1.5304 -0.0000 0.8957 -0.0000 3.7500 0.0000 -0.8801 0.0000 -2.3069 0.0000 -0.2298 -0.0000 -1.4112 -0.0000 2.5000 0.0000 0.0391 0.0000 0.5158 0.0000 0.0050 -0.0000 0.1361 0.0000 0.6250 0.0000 -0.0005 0.0000 -0.0282 0.0000 -0.0000 0.0000 -0.0047 0.0000 -0.0000 0.0000 0.0000 0.0000 0.0007 -0.0000 0.0000 0.0000 0.0002 0.0000 -0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 echeb_test(): echeb() evaluates a Chebyshev series. Sin(x) -1.0000 -0.8415 -0.8415 -0.6000 -0.5646 -0.5646 -0.2000 -0.1987 -0.1987 0.2000 0.1987 0.1987 0.6000 0.5646 0.5646 1.0000 0.8415 0.8415 Cos(x) -1.0000 0.5403 0.5403 -0.6000 0.8253 0.8253 -0.2000 0.9801 0.9801 0.2000 0.9801 0.9801 0.6000 0.8253 0.8253 1.0000 0.5403 0.5403 Sin(2x) -1.0000 -0.9093 -0.9093 -0.6000 -0.9320 -0.9320 -0.2000 -0.3894 -0.3894 0.2000 0.3894 0.3894 0.6000 0.9320 0.9320 1.0000 0.9093 0.9093 Cos(2x) -1.0000 -0.4161 -0.4161 -0.6000 0.3624 0.3624 -0.2000 0.9211 0.9211 0.2000 0.9211 0.9211 0.6000 0.3624 0.3624 1.0000 -0.4161 -0.4161 x^5 -1.0000 -1.0000 -1.0000 -0.6000 -0.0778 -0.0778 -0.2000 -0.0003 -0.0003 0.2000 0.0003 0.0003 0.6000 0.0778 0.0778 1.0000 1.0000 1.0000 edcheb_test(): edcheb() evaluates the derivative of a Chebyshev series. d/dx Sin(x) -1.0000 0.5403 0.5403 -0.6000 0.8253 0.8253 -0.2000 0.9801 0.9801 0.2000 0.9801 0.9801 0.6000 0.8253 0.8253 1.0000 0.5403 0.5403 d/dx Cos(x) -1.0000 0.8415 0.8415 -0.6000 0.5646 0.5646 -0.2000 0.1987 0.1987 0.2000 -0.1987 -0.1987 0.6000 -0.5646 -0.5646 1.0000 -0.8415 -0.8415 d/dx Sin(2x) -1.0000 -0.8323 -0.8319 -0.6000 0.7247 0.7248 -0.2000 1.8421 1.8421 0.2000 1.8421 1.8421 0.6000 0.7247 0.7248 1.0000 -0.8323 -0.8319 d/dx Cos(2x) -1.0000 1.8186 1.8186 -0.6000 1.8641 1.8641 -0.2000 0.7788 0.7788 0.2000 -0.7788 -0.7788 0.6000 -1.8641 -1.8641 1.0000 -1.8186 -1.8186 d/dx x^5 -1.0000 5.0000 5.0000 -0.6000 0.6480 0.6480 -0.2000 0.0080 0.0080 0.2000 0.0080 0.0080 0.6000 0.6480 0.6480 1.0000 5.0000 5.0000 mltply_test(): mltply() computes the product of two Chebyshev series. Multiply series for SIN(X) and COS(X) and compare with series for 1/2*SIN(2X). Sin(x) Cos(x) 1/2*Sin(2x) RESULT 0.0000 1.5304 0.0000 0.0000 0.8801 0.0000 0.5767 0.5767 0.0000 -0.2298 0.0000 0.0000 -0.0391 -0.0000 -0.1289 -0.1289 -0.0000 0.0050 -0.0000 -0.0000 0.0005 -0.0000 0.0070 0.0070 0.0000 -0.0000 0.0000 -0.0000 -0.0000 0.0000 -0.0002 -0.0002 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 ntgrt_test(): ntgrt() computes the Chebyshev series for the indefinite integral of several functions. Series for indefinite integral of: Sin(x) Cos(x) Sin(2x) Cos(2x) X^5 0.0000 0.0000 0.0000 0.0000 0.0000 -0.0000 0.8801 -0.0000 0.5767 0.0000 0.2298 0.0000 0.3528 0.0000 0.0781 0.0000 -0.0391 0.0000 -0.1289 0.0000 -0.0050 0.0000 -0.0340 0.0000 0.0312 -0.0000 0.0005 -0.0000 0.0070 0.0000 0.0000 -0.0000 0.0012 -0.0000 0.0052 0.0000 -0.0000 0.0000 -0.0002 0.0000 -0.0000 -0.0000 -0.0000 -0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 -0.0000 toms446_test(): Normal end of execution. 25-Jul-2022 22:03:56