10-point method.
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| class(integration_class_1d), | intent(inout) | :: | me | |||
| real(kind=wp), | intent(in) | :: | x | |||
| real(kind=wp), | intent(in) | :: | h |
function g10(me, x, h) result(f)
implicit none
class(integration_class_1d),intent(inout) :: me
real(wp), intent(in) :: x
real(wp), intent(in) :: h
real(wp) :: f
!> abscissae:
real(wp),dimension(5),parameter :: a = [ 0.14887433898163121088482600112971998461756485942&
&069169570798925351590361735566852137117762979946&
&369123003116080525533882610289018186437654023167&
&619699680909130507378277203710590709424758594227&
&432498371771742473462169148529029429290031934666&
&590824338380943550759968335702300050038372806343&
&51_wp,&
0.43339539412924719079926594316578416220007183765&
&624649650270151314376698907770350122510275795011&
&772122368293504099893794727422475772324920512677&
&410328220862009523192709334620320113283203876915&
&840634111498011298231414887874432043247664144215&
&76788807708483879452488118549797039287926964254222_wp,&
0.67940956829902440623432736511487357576929471183&
&480946766481718895255857539507492461507857357048&
&037949983390204739931506083674084257663009076827&
&417182029235431978528469774097183691437120135529&
&628377331531086791269325449548547293413247272116&
&80274268486617121011712030227181051010718804444161_wp,&
0.86506336668898451073209668842349304852754301496&
&533045252195973184537475513805556135679072894604&
&577069440463108641176516867830016149345356373927&
&293968909500115713496898930516120724357604809009&
&797259233179237955357392905958797769568324277022&
&36942765911483643714816923781701572597289139322313_wp,&
0.97390652851717172007796401208445205342826994669&
&238211923121206669659520323463615962572356495626&
&855625823304251877421121502216860143447777992054&
&095872599424367044136957648812587991466331435107&
&587371198778752105670674524353687136830338609093&
&88311646653581707125686970668737259229449284383797_wp ]
!> weights:
real(wp),dimension(5),parameter :: w = [ 0.29552422471475287017389299465133832942104671702&
&685360135430802975599593821715232927035659579375&
&421672271716440125255838681849078955200582600193&
&634249418696660956271864888416804323130506153586&
&740908305127066386528748390174687472659751595445&
&0775158914556548308329986393605934912382356670244_wp,&
0.26926671930999635509122692156946935285975993846&
&088379580056327624215343231917927676422663670925&
&276075559581145036869830869292346938114524155646&
&588466344237116560144322599601417290445280303444&
&112979029770671425375348062846083992765750069116&
&86749842814086288868533208042150419508881916391898_wp,&
0.21908636251598204399553493422816319245877187052&
&267708988095654363519991065295128124268399317720&
&219278659121687281288763476662690806694756883092&
&118433166566771052699153220775367726528266710278&
&782468510102088321733200642734832547562506684158&
&85349420711613410227291565477768928313300688702802_wp,&
0.14945134915058059314577633965769733240255663966&
&942736783547726875323865472663001094594726463473&
&195191400575256104543633823445170674549760147137&
&160119371095287981348288651187709535664396393337&
&739399092016902046490838156187791575225783003434&
&27785361756927642128792412282970150172590842897331_wp,&
0.06667134430868813759356880989333179285786483432&
&015814512869488161341206408408710177678550968505&
&887782109005471452041933148750712625440376213930&
&498731699404163449536370640018701124231550439352&
&624245062983271819871864748056604411786208647844&
&9236378557180717569208295026105115288152794421677_wp ]
f = h * ( w(1)*( me%fun(x-a(1)*h) + me%fun(x+a(1)*h) ) + &
w(2)*( me%fun(x-a(2)*h) + me%fun(x+a(2)*h) ) + &
w(3)*( me%fun(x-a(3)*h) + me%fun(x+a(3)*h) ) + &
w(4)*( me%fun(x-a(4)*h) + me%fun(x+a(4)*h) ) + &
w(5)*( me%fun(x-a(5)*h) + me%fun(x+a(5)*h) ) )
end function g10