test gauleg.c on interval -1.0 to 1.0  ordinates, weights
x[1]= 0.0000000000000E+000, w[1]= 2.0000000000000E+000 
              integral(1.0, -1.0..1.0)= 2.0000000000000E+000
x[1]=-5.7735026918963E-001, w[1]= 1.0000000000000E+000 
x[2]= 5.7735026918963E-001, w[2]= 1.0000000000000E+000 
              integral(1.0, -1.0..1.0)= 2.0000000000000E+000
x[1]=-7.7459666924148E-001, w[1]= 5.5555555555555E-001 
x[2]= 0.0000000000000E+000, w[2]= 8.8888888888889E-001 
x[3]= 7.7459666924148E-001, w[3]= 5.5555555555555E-001 
              integral(1.0, -1.0..1.0)= 2.0000000000000E+000
x[1]=-8.6113631159405E-001, w[1]= 3.4785484513745E-001 
x[2]=-3.3998104358486E-001, w[2]= 6.5214515486255E-001 
x[3]= 3.3998104358486E-001, w[3]= 6.5214515486255E-001 
x[4]= 8.6113631159405E-001, w[4]= 3.4785484513745E-001 
              integral(1.0, -1.0..1.0)= 2.0000000000000E+000
x[1]=-9.0617984593866E-001, w[1]= 2.3692688505618E-001 
x[2]=-5.3846931010568E-001, w[2]= 4.7862867049937E-001 
x[3]= 0.0000000000000E+000, w[3]= 5.6888888888889E-001 
x[4]= 5.3846931010568E-001, w[4]= 4.7862867049937E-001 
x[5]= 9.0617984593866E-001, w[5]= 2.3692688505618E-001 
              integral(1.0, -1.0..1.0)= 2.0000000000000E+000
x[1]=-9.3246951420315E-001, w[1]= 1.7132449237916E-001 
x[2]=-6.6120938646626E-001, w[2]= 3.6076157304814E-001 
x[3]=-2.3861918608320E-001, w[3]= 4.6791393457269E-001 
x[4]= 2.3861918608320E-001, w[4]= 4.6791393457269E-001 
x[5]= 6.6120938646626E-001, w[5]= 3.6076157304814E-001 
x[6]= 9.3246951420315E-001, w[6]= 1.7132449237916E-001 
              integral(1.0, -1.0..1.0)= 2.0000000000000E+000
x[1]=-9.4910791234276E-001, w[1]= 1.2948496616886E-001 
x[2]=-7.4153118559939E-001, w[2]= 2.7970539148928E-001 
x[3]=-4.0584515137740E-001, w[3]= 3.8183005050512E-001 
x[4]= 0.0000000000000E+000, w[4]= 4.1795918367347E-001 
x[5]= 4.0584515137740E-001, w[5]= 3.8183005050512E-001 
x[6]= 7.4153118559939E-001, w[6]= 2.7970539148928E-001 
x[7]= 9.4910791234276E-001, w[7]= 1.2948496616886E-001 
              integral(1.0, -1.0..1.0)= 2.0000000000000E+000
x[1]=-9.6028985649754E-001, w[1]= 1.0122853629037E-001 
x[2]=-7.9666647741363E-001, w[2]= 2.2238103445337E-001 
x[3]=-5.2553240991633E-001, w[3]= 3.1370664587789E-001 
x[4]=-1.8343464249565E-001, w[4]= 3.6268378337836E-001 
x[5]= 1.8343464249565E-001, w[5]= 3.6268378337836E-001 
x[6]= 5.2553240991633E-001, w[6]= 3.1370664587789E-001 
x[7]= 7.9666647741363E-001, w[7]= 2.2238103445337E-001 
x[8]= 9.6028985649754E-001, w[8]= 1.0122853629037E-001 
              integral(1.0, -1.0..1.0)= 2.0000000000000E+000
x[1]=-9.6816023950763E-001, w[1]= 8.1274388361569E-002 
x[2]=-8.3603110732664E-001, w[2]= 1.8064816069486E-001 
x[3]=-6.1337143270059E-001, w[3]= 2.6061069640294E-001 
x[4]=-3.2425342340381E-001, w[4]= 3.1234707704000E-001 
x[5]= 0.0000000000000E+000, w[5]= 3.3023935500126E-001 
x[6]= 3.2425342340381E-001, w[6]= 3.1234707704000E-001 
x[7]= 6.1337143270059E-001, w[7]= 2.6061069640294E-001 
x[8]= 8.3603110732664E-001, w[8]= 1.8064816069486E-001 
x[9]= 9.6816023950763E-001, w[9]= 8.1274388361569E-002 
              integral(1.0, -1.0..1.0)= 2.0000000000000E+000
x[1]=-9.7390652851717E-001, w[1]= 6.6671344308683E-002 
x[2]=-8.6506336668898E-001, w[2]= 1.4945134915058E-001 
x[3]=-6.7940956829902E-001, w[3]= 2.1908636251598E-001 
x[4]=-4.3339539412925E-001, w[4]= 2.6926671930999E-001 
x[5]=-1.4887433898163E-001, w[5]= 2.9552422471475E-001 
x[6]= 1.4887433898163E-001, w[6]= 2.9552422471475E-001 
x[7]= 4.3339539412925E-001, w[7]= 2.6926671930999E-001 
x[8]= 6.7940956829902E-001, w[8]= 2.1908636251598E-001 
x[9]= 8.6506336668898E-001, w[9]= 1.4945134915058E-001 
x[10]= 9.7390652851717E-001, w[10]= 6.6671344308683E-002 
              integral(1.0, -1.0..1.0)= 2.0000000000000E+000
x[1]=-9.7822865814606E-001, w[1]= 5.5668567116170E-002 
x[2]=-8.8706259976810E-001, w[2]= 1.2558036946490E-001 
x[3]=-7.3015200557405E-001, w[3]= 1.8629021092773E-001 
x[4]=-5.1909612920681E-001, w[4]= 2.3319376459198E-001 
x[5]=-2.6954315595234E-001, w[5]= 2.6280454451025E-001 
x[6]= 0.0000000000000E+000, w[6]= 2.7292508677790E-001 
x[7]= 2.6954315595234E-001, w[7]= 2.6280454451025E-001 
x[8]= 5.1909612920681E-001, w[8]= 2.3319376459198E-001 
x[9]= 7.3015200557405E-001, w[9]= 1.8629021092773E-001 
x[10]= 8.8706259976810E-001, w[10]= 1.2558036946490E-001 
x[11]= 9.7822865814606E-001, w[11]= 5.5668567116170E-002 
              integral(1.0, -1.0..1.0)= 2.0000000000000E+000
x[1]=-9.8156063424672E-001, w[1]= 4.7175336386508E-002 
x[2]=-9.0411725637047E-001, w[2]= 1.0693932599532E-001 
x[3]=-7.6990267419430E-001, w[3]= 1.6007832854335E-001 
x[4]=-5.8731795428662E-001, w[4]= 2.0316742672307E-001 
x[5]=-3.6783149899818E-001, w[5]= 2.3349253653835E-001 
x[6]=-1.2523340851147E-001, w[6]= 2.4914704581340E-001 
x[7]= 1.2523340851147E-001, w[7]= 2.4914704581340E-001 
x[8]= 3.6783149899818E-001, w[8]= 2.3349253653835E-001 
x[9]= 5.8731795428662E-001, w[9]= 2.0316742672307E-001 
x[10]= 7.6990267419430E-001, w[10]= 1.6007832854335E-001 
x[11]= 9.0411725637047E-001, w[11]= 1.0693932599532E-001 
x[12]= 9.8156063424672E-001, w[12]= 4.7175336386508E-002 
              integral(1.0, -1.0..1.0)= 2.0000000000000E+000
x[1]=-9.8418305471859E-001, w[1]= 4.0484004765312E-002 
x[2]=-9.1759839922298E-001, w[2]= 9.2121499837728E-002 
x[3]=-8.0157809073331E-001, w[3]= 1.3887351021979E-001 
x[4]=-6.4234933944034E-001, w[4]= 1.7814598076195E-001 
x[5]=-4.4849275103645E-001, w[5]= 2.0781604753689E-001 
x[6]=-2.3045831595513E-001, w[6]= 2.2628318026290E-001 
x[7]= 0.0000000000000E+000, w[7]= 2.3255155323087E-001 
x[8]= 2.3045831595513E-001, w[8]= 2.2628318026290E-001 
x[9]= 4.4849275103645E-001, w[9]= 2.0781604753689E-001 
x[10]= 6.4234933944034E-001, w[10]= 1.7814598076195E-001 
x[11]= 8.0157809073331E-001, w[11]= 1.3887351021979E-001 
x[12]= 9.1759839922298E-001, w[12]= 9.2121499837728E-002 
x[13]= 9.8418305471859E-001, w[13]= 4.0484004765312E-002 
              integral(1.0, -1.0..1.0)= 2.0000000000000E+000
x[1]=-9.8628380869681E-001, w[1]= 3.5119460331749E-002 
x[2]=-9.2843488366357E-001, w[2]= 8.0158087159760E-002 
x[3]=-8.2720131506977E-001, w[3]= 1.2151857068790E-001 
x[4]=-6.8729290481169E-001, w[4]= 1.5720316715819E-001 
x[5]=-5.1524863635815E-001, w[5]= 1.8553839747794E-001 
x[6]=-3.1911236892789E-001, w[6]= 2.0519846372130E-001 
x[7]=-1.0805494870734E-001, w[7]= 2.1526385346316E-001 
x[8]= 1.0805494870734E-001, w[8]= 2.1526385346316E-001 
x[9]= 3.1911236892789E-001, w[9]= 2.0519846372130E-001 
x[10]= 5.1524863635815E-001, w[10]= 1.8553839747794E-001 
x[11]= 6.8729290481169E-001, w[11]= 1.5720316715819E-001 
x[12]= 8.2720131506977E-001, w[12]= 1.2151857068790E-001 
x[13]= 9.2843488366357E-001, w[13]= 8.0158087159760E-002 
x[14]= 9.8628380869681E-001, w[14]= 3.5119460331749E-002 
              integral(1.0, -1.0..1.0)= 2.0000000000000E+000
x[1]=-9.8799251802049E-001, w[1]= 3.0753241996115E-002 
x[2]=-9.3727339240071E-001, w[2]= 7.0366047488108E-002 
x[3]=-8.4820658341043E-001, w[3]= 1.0715922046717E-001 
x[4]=-7.2441773136017E-001, w[4]= 1.3957067792615E-001 
x[5]=-5.7097217260854E-001, w[5]= 1.6626920581699E-001 
x[6]=-3.9415134707756E-001, w[6]= 1.8616100001556E-001 
x[7]=-2.0119409399743E-001, w[7]= 1.9843148532711E-001 
x[8]= 0.0000000000000E+000, w[8]= 2.0257824192556E-001 
x[9]= 2.0119409399743E-001, w[9]= 1.9843148532711E-001 
x[10]= 3.9415134707756E-001, w[10]= 1.8616100001556E-001 
x[11]= 5.7097217260854E-001, w[11]= 1.6626920581699E-001 
x[12]= 7.2441773136017E-001, w[12]= 1.3957067792615E-001 
x[13]= 8.4820658341043E-001, w[13]= 1.0715922046717E-001 
x[14]= 9.3727339240071E-001, w[14]= 7.0366047488108E-002 
x[15]= 9.8799251802049E-001, w[15]= 3.0753241996115E-002 
              integral(1.0, -1.0..1.0)= 2.0000000000000E+000
integral (0.5,1.0) sin(x) dx =  3.3727533740282E-001
integral (0.5,1.0) sin(x) dx =  3.3728025865871E-001
integral (0.5,1.0) sin(x) dx =  3.3728025602148E-001
integral (0.5,1.0) sin(x) dx =  3.3728025602223E-001
integral (0.5,1.0) sin(x) dx =  3.3728025602223E-001
integral (0.5,1.0) sin(x) dx =  3.3728025602223E-001
integral (0.5,1.0) sin(x) dx =  3.3728025602223E-001
integral (0.5,1.0) sin(x) dx =  3.3728025602223E-001
integral (0.5,1.0) sin(x) dx =  3.3728025602223E-001
-cos(1.0)+cos(0.5) =  3.3728025602223E-001
Maple says 3.372802560E-001 

integral (0.5,5.0) exp(x) dx =  1.3862135352536E+002
integral (0.5,5.0) exp(x) dx =  1.4642644151771E+002
integral (0.5,5.0) exp(x) dx =  1.4675690063962E+002
integral (0.5,5.0) exp(x) dx =  1.4676433289636E+002
integral (0.5,5.0) exp(x) dx =  1.4676443683336E+002
integral (0.5,5.0) exp(x) dx =  1.4676443782497E+002
integral (0.5,5.0) exp(x) dx =  1.4676443783184E+002
integral (0.5,5.0) exp(x) dx =  1.4676443783187E+002
integral (0.5,5.0) exp(x) dx =  1.4676443783187E+002
exp(5.0)-exp(0.5) =  1.4676443783188E+002
Maple says 1.467644378E+002 

integral (0.5,5.0) mess(x) dx =  3.1356507011705E+011
integral (0.5,5.0) mess(x) dx =  3.3387544148189E+014
integral (0.5,5.0) mess(x) dx =  8.2997658033782E+015
integral (0.5,5.0) mess(x) dx =  4.2026882013806E+016
integral (0.5,5.0) mess(x) dx =  1.0086013181589E+017
integral (0.5,5.0) mess(x) dx =  1.6470951828818E+017
integral (0.5,5.0) mess(x) dx =  2.1739064360727E+017
integral (0.5,5.0) mess(x) dx =  2.5375071970853E+017
integral (0.5,5.0) mess(x) dx =  2.7573621422541E+017
integral (0.5,5.0) mess(x) dx =  2.8766503414384E+017
integral (0.5,5.0) mess(x) dx =  2.9355491094555E+017
integral (0.5,5.0) mess(x) dx =  2.9622628247234E+017
integral (0.5,5.0) mess(x) dx =  2.9734699688923E+017
integral (0.5,5.0) mess(x) dx =  2.9778429559326E+017
integral (0.5,5.0) mess(x) dx =  2.9794372483708E+017
integral (0.5,5.0) mess(x) dx =  2.9799824570458E+017
integral (0.5,5.0) mess(x) dx =  2.9801579453112E+017
integral (0.5,5.0) mess(x) dx =  2.9802112718969E+017
integral (0.5,5.0) mess(x) dx =  2.9802266122758E+017
integral (0.5,5.0) mess(x) dx =  2.9802308002182E+017
integral (0.5,5.0) mess(x) dx =  2.9802318876947E+017
integral (0.5,5.0) mess(x) dx =  2.9802321568455E+017
integral (0.5,5.0) mess(x) dx =  2.9802322204606E+017
integral (0.5,5.0) mess(x) dx =  2.9802322348447E+017
integral (0.5,5.0) mess(x) dx =  2.9802322379613E+017
integral (0.5,5.0) mess(x) dx =  2.9802322386094E+017
integral (0.5,5.0) mess(x) dx =  2.9802322387389E+017
integral (0.5,5.0) mess(x) dx =  2.9802322387638E+017
integral (0.5,5.0) mess(x) dx =  2.9802322387684E+017
((5.0**5.0)**5.0)-(0.5**0.5)**0.5 =  2.9802322387695E+017
Maple says 2.980232239E+017 

Done.