! E01TLF Example Program Text ! Mark 24 Release. NAG Copyright 2012. Module e01tlfe_mod ! E01TLF Example Program Module: ! Parameters and User-defined Routines ! .. Use Statements .. Use nag_library, Only: nag_wp ! .. Implicit None Statement .. Implicit None ! .. Parameters .. Real (Kind=nag_wp), Parameter :: one = 1.0_nag_wp Real (Kind=nag_wp), Parameter :: six = 6.0_nag_wp Real (Kind=nag_wp), Parameter :: three = 3.0_nag_wp Integer, Parameter :: nin = 5, nout = 6 Contains Subroutine funct(m,x,f) ! This subroutine evaluates the 4D function funct. ! .. Scalar Arguments .. Integer, Intent (In) :: m ! .. Array Arguments .. Real (Kind=nag_wp), Intent (Out) :: f(m) Real (Kind=nag_wp), Intent (In) :: x(4,m) ! .. Local Scalars .. Real (Kind=nag_wp) :: c1, c2, c3, c4 Integer :: i ! .. Intrinsic Procedures .. Intrinsic :: cos ! .. Executable Statements .. Do i = 1, m c1 = cos(six*x(1,i)) c2 = cos(six*x(2,i)) c3 = six + six*(three*x(3,i)-one)**2 c4 = 1.25_nag_wp + cos(5.4_nag_wp*x(4,i)) f(i) = c4*c1*c2/c3 End Do Return End Subroutine funct End Module e01tlfe_mod Program e01tlfe ! E01TLF Example Main Program ! .. Use Statements .. Use nag_library, Only: e01tkf, e01tlf, g05kff, g05saf, nag_wp Use e01tlfe_mod, Only: funct, nin, nout ! .. Implicit None Statement .. Implicit None ! .. Parameters .. Integer, Parameter :: lseed = 1 ! .. Local Scalars .. Integer :: genid, i, ifail, liq, lrq, & lstate, m, n, nq, nw, subid ! .. Local Arrays .. Real (Kind=nag_wp), Allocatable :: f(:), fun(:), q(:), qx(:,:), & rq(:), x(:,:), xe(:,:) Integer, Allocatable :: iq(:), state(:) Integer :: seed(lseed), seed2(lseed) ! .. Intrinsic Procedures .. Intrinsic :: abs ! .. Executable Statements .. Write (nout,*) 'E01TLF Example Program Results' ! Skip heading in data file Read (nin,*) ! Read in the base generator information and seeds Read (nin,*) genid, subid, seed(1), seed2(1) ! Initial call to initialiser to get size of STATE array lstate = 0 Allocate (state(lstate)) ifail = 0 Call g05kff(genid,subid,seed,lseed,state,lstate,ifail) ! Reallocate STATE Deallocate (state) Allocate (state(lstate)) ! Initialize the generator to a repeatable sequence ifail = 0 Call g05kff(genid,subid,seed,lseed,state,lstate,ifail) ! Input the number of nodes. Read (nin,*) m liq = 2*m + 1 lrq = 15*m + 9 Allocate (x(4,m),f(m),iq(liq),rq(lrq)) ! Generate the data points X ifail = 0 Call g05saf(4*m,state,x,ifail) ! Evaluate F Call funct(m,x,f) ! Generate the interpolant using E01TKF. nq = 0 nw = 0 ifail = 0 Call e01tkf(m,x,f,nw,nq,iq,rq,ifail) ! Input the number of evaluation points. Read (nin,*) n Allocate (xe(4,n),q(n),qx(4,n),fun(n)) ! Generate repeatable evaluation points. ifail = 0 Call g05kff(genid,subid,seed2,lseed,state,lstate,ifail) ifail = 0 Call g05saf(4*n,state,xe,ifail) ! Evaluate the interpolant. ifail = 0 Call e01tlf(m,x,f,iq,rq,n,xe,q,qx,ifail) Write (nout,99997) Write (nout,99998) Call funct(n,xe,fun) Write (nout,99999)(i,fun(i),q(i),abs(fun(i)-q(i)),i=1,n) 99999 Format (1X,I4,1X,2F10.4,2X,F10.4) 99998 Format (4X,'---+',20('-'),'+',11('-'),'+') 99997 Format (/4X,'I |',2X,'F(I)',6X,'Q(I)',4X,'|',1X,'|F(I)-Q(I)|') End Program e01tlfe