June 24 2002 12:32:07.306 PM INTLIB_PRB Sample problems for the INTLIB library. TEST1D Test 1D quadrature codes for integral of F(X) on [A,B]. A = 0.00000 B = 1.00000 F(X)=1 PLINT 1.00000 AVINT 0.999999 CUBINT 1.00000 WEDINT 1.00000 CSPINT 1.00000 GAUS8 1.00000 QNC79 1.00000 QUAD 1.00000 RMINSP 1.00000 RMINSP 1.00000 IRATEX 1.00000 CADRE 1.00000 CHINSP 1.00000 SIMP 1.00000 HIORDQ 1.00000 SIMPSN 1.00000 SIMPNE 0.999998 F(X)=X PLINT 0.500000 AVINT 0.499998 CUBINT 0.500000 WEDINT 0.500000 CSPINT 0.500000 GAUS8 0.500000 QNC79 0.500000 QUAD 0.500000 RMINSP 0.500000 RMINSP 0.500000 IRATEX 0.500000 CADRE 0.500000 CHINSP 0.500000 SIMP 0.500000 HIORDQ 0.500000 SIMPSN 0.500000 SIMPNE 0.499998 F(X)=X*2 PLINT 0.335000 AVINT 0.333332 CUBINT 0.333333 WEDINT 0.333333 CSPINT 0.333308 GAUS8 0.333333 QNC79 0.333333 QUAD 0.333333 RMINSP 0.333333 RMINSP 0.333333 IRATEX 0.333333 CADRE 0.333333 CHINSP 0.333333 SIMP 0.333333 HIORDQ 0.333333 SIMPSN 0.333333 SIMPNE 0.333332 F(X)=X*3 PLINT 0.252500 AVINT 0.249773 CUBINT 0.250000 WEDINT 0.250000 CSPINT 0.249961 GAUS8 0.250000 QNC79 0.250000 QUAD 0.250000 RMINSP 0.250000 RMINSP 0.250000 IRATEX 0.250000 CADRE 0.250000 CHINSP 0.250000 SIMP 0.250000 HIORDQ 0.250000 SIMPSN 0.250000 SIMPNE 0.249998 F(X)=EXP(X) PLINT 1.71971 AVINT 1.71819 CUBINT 1.71828 WEDINT 1.71828 CSPINT 1.71826 GAUS8 1.71828 QNC79 1.71828 QUAD 1.71828 RMINSP 1.71828 RMINSP 1.71829 IRATEX 1.71828 CADRE 1.71828 CHINSP 1.71828 SIMP 1.71828 HIORDQ 1.71828 SIMPSN 1.71828 SIMPNE 1.71828 F(X)=SQRT(X) PLINT 0.660509 AVINT 0.663476 CUBINT 0.664144 WEDINT 0.665054 CSPINT 0.660496 GAUS8 0.666726 QNC79 0.666598 QUAD 0.666288 RMINSP 0.666533 RMINSP 0.666667 IRATEX 1.44600 CADRE 0.666667 CHINSP 0.666640 SIMP 0.665604 HIORDQ 0.664381 SIMPSN 0.664100 SIMPNE 0.664098 F(X)=1/(1+X*X) PLINT 0.784982 AVINT 0.785369 CUBINT 0.785404 WEDINT 0.785398 CSPINT 0.785407 GAUS8 0.785398 QNC79 0.785398 QUAD 0.785397 RMINSP 0.785398 RMINSP 0.785398 IRATEX 0.785405 CADRE 0.785399 CHINSP 0.785398 SIMP 0.785398 HIORDQ 0.785397 SIMPSN 0.785398 SIMPNE 0.785397 TEST27 FILON_COS estimates the integral of. F(X) * COS ( T * X ) Integrate F(X)*COS(T*X): with F(X)=1, X, X**2. A = 0.00000 B = 1.00000 NTAB = 11 T Approximate Exact 1.00000 0.841474 0.841471 1.00000 0.381775 0.381773 1.00000 0.239134 0.239134 2.00000 0.454650 0.454649 2.00000 0.100612 0.100612 2.00000 0.192510E-01 0.192509E-01 10.0000 -0.544021E-01 -0.544021E-01 10.0000 -0.727928E-01 -0.727928E-01 10.0000 -0.700955E-01 -0.700955E-01 TEST28 FILON_SIN estimates the integral of. F(X) * SIN ( T * X ) A = 0.00000 B = 1.00000 NTAB = 11 Integrate F(X)*SIN(T*X) with F(X)=1, X, X**2. T Approximate Exact 1.00000 0.459699 0.459698 1.00000 0.301170 0.301169 1.00000 0.223245 0.223244 2.00000 0.708075 0.708073 2.00000 0.435399 0.435398 2.00000 0.308686 0.308685 10.0000 0.183907 0.183907 10.0000 0.784670E-01 0.784669E-01 10.0000 0.693486E-01 0.693486E-01 INTLIB_PRB Normal end of execution.