22 December 2011 11:16:04 AM
TOMS446_PRB
C++ version
Test the TOMS446 library.
TEST01
Test CHEBY, which computes the
Chebyshev series for several functions.
Sin(x) Cos(x) Sin(2x) Cos(2x) X^5
0.000000 1.530395 0.000000 0.447782 0.000000
0.880101 0.000000 1.153450 -0.000000 0.625000
0.000000 -0.229807 0.000000 -0.705668 0.000000
-0.039127 0.000000 -0.257886 0.000000 0.312500
-0.000000 0.004953 -0.000000 0.067991 -0.000000
0.000500 -0.000000 0.014079 -0.000000 0.062500
0.000000 -0.000042 0.000000 -0.002405 0.000000
-0.000003 -0.000000 -0.000350 -0.000000 0.000000
0.000000 0.000000 0.000000 0.000044 -0.000000
0.000000 0.000000 0.000010 0.000000 0.000000
TEST02
Test MLTPLY, which 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
0.000000 1.530395 0.000000 0.000000
0.880101 0.000000 0.576725 0.576725
0.000000 -0.229807 0.000000 0.000000
-0.039127 0.000000 -0.128943 -0.128943
-0.000000 0.004953 -0.000000 -0.000000
0.000500 -0.000000 0.007040 0.007040
0.000000 -0.000042 0.000000 0.000000
-0.000003 -0.000000 -0.000175 -0.000175
0.000000 0.000000 0.000000 -0.000000
0.000000 0.000000 0.000005 0.000003
TEST03
Test ECHEB, which evaluates a
Chebyshev series.
Sin(x)
-1.000000 -0.841471 -0.841471
-0.600000 -0.564642 -0.564642
-0.200000 -0.198669 -0.198669
0.200000 0.198669 0.198669
0.600000 0.564642 0.564642
1.000000 0.841471 0.841471
Cos(x)
-1.000000 0.540302 0.540302
-0.600000 0.825336 0.825336
-0.200000 0.980067 0.980067
0.200000 0.980067 0.980067
0.600000 0.825336 0.825336
1.000000 0.540302 0.540302
Sin(2x)
-1.000000 -0.909297 -0.909302
-0.600000 -0.932039 -0.932037
-0.200000 -0.389418 -0.389423
0.200000 0.389418 0.389423
0.600000 0.932039 0.932037
1.000000 0.909297 0.909302
Cos(2x)
-1.000000 -0.416147 -0.416147
-0.600000 0.362358 0.362357
-0.200000 0.921061 0.921061
0.200000 0.921061 0.921061
0.600000 0.362358 0.362357
1.000000 -0.416147 -0.416147
x^5
-1.000000 -1.000000 -1.000000
-0.600000 -0.077760 -0.077760
-0.200000 -0.000320 -0.000320
0.200000 0.000320 0.000320
0.600000 0.077760 0.077760
1.000000 1.000000 1.000000
TEST04
Test EDCHEB, which evaluates the
derivative of a Chebyshev series.
Sin(x)
-1.000000 0.540302 0.540303
-0.600000 0.825336 0.825336
-0.200000 0.980067 0.980067
0.200000 0.980067 0.980067
0.600000 0.825336 0.825336
1.000000 0.540302 0.540303
Cos(x)
-1.000000 0.841471 0.841471
-0.600000 0.564642 0.564642
-0.200000 0.198669 0.198669
0.200000 -0.198669 -0.198669
0.600000 -0.564642 -0.564642
1.000000 -0.841471 -0.841471
Sin(2x)
-1.000000 -0.832294 -0.831887
-0.600000 0.724716 0.724764
-0.200000 1.842122 1.842111
0.200000 1.842122 1.842111
0.600000 0.724716 0.724764
1.000000 -0.832294 -0.831887
Cos(2x)
-1.000000 1.818595 1.818577
-0.600000 1.864078 1.864082
-0.200000 0.778837 0.778828
0.200000 -0.778837 -0.778828
0.600000 -1.864078 -1.864082
1.000000 -1.818595 -1.818577
x^5
-1.000000 5.000000 5.000000
-0.600000 0.648000 0.648000
-0.200000 0.008000 0.008000
0.200000 0.008000 0.008000
0.600000 0.648000 0.648000
1.000000 5.000000 5.000000
TEST05
Test DFRNT, which 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
1.530396 0.000000 0.895653 -0.000000 3.750000
0.000000 -0.880101 0.000000 -2.306897 0.000000
-0.229807 0.000000 -1.411246 -0.000000 2.500000
0.000000 0.039127 0.000000 0.515775 -0.000000
0.004953 -0.000000 0.136073 -0.000000 0.625000
0.000000 -0.000500 0.000000 -0.028157 -0.000000
-0.000042 0.000000 -0.004720 -0.000000 0.000000
0.000000 0.000003 0.000000 0.000702 -0.000000
0.000000 0.000000 0.000179 0.000000 0.000000
0.000000 0.000000 0.000000 0.000000 0.000000
TEST06
Test NTGRT, which computes the
Chebyshev series for the indefinite
integral of several functions.
Chebyshev series for indefinite integral of:
Sin(x) Cos(x) Sin(2x) Cos(2x) X^5
0.000000 0.000000 0.000000 0.000000 0.000000
-0.000000 0.880101 -0.000000 0.576725 0.000000
0.229807 0.000000 0.352834 -0.000000 0.078125
0.000000 -0.039127 0.000000 -0.128943 0.000000
-0.004953 0.000000 -0.033996 0.000000 0.031250
-0.000000 0.000500 -0.000000 0.007040 -0.000000
0.000042 0.000000 0.001202 0.000000 0.005208
0.000000 -0.000003 0.000000 -0.000175 0.000000
-0.000000 -0.000000 -0.000022 -0.000000 -0.000000
0.000000 0.000000 0.000000 0.000002 -0.000000
TOMS446_PRB
Normal end of execution.
22 December 2011 11:16:04 AM