Timur A. Fatkhullin
5279d1c41a
start developing of FITPACK C++ bindings mount_server.cpp: fix compilation error with GCC15
108 lines
4.0 KiB
Fortran
108 lines
4.0 KiB
Fortran
recursive subroutine surev(idim,tu,nu,tv,nv,c,u,mu,v,mv,f,mf,
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* wrk,lwrk,iwrk,kwrk,ier)
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implicit none
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c subroutine surev evaluates on a grid (u(i),v(j)),i=1,...,mu; j=1,...
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c ,mv a bicubic spline surface of dimension idim, given in the
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c b-spline representation.
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c
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c calling sequence:
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c call surev(idim,tu,nu,tv,nv,c,u,mu,v,mv,f,mf,wrk,lwrk,
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c * iwrk,kwrk,ier)
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c
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c input parameters:
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c idim : integer, specifying the dimension of the spline surface.
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c tu : real array, length nu, which contains the position of the
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c knots in the u-direction.
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c nu : integer, giving the total number of knots in the u-direction
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c tv : real array, length nv, which contains the position of the
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c knots in the v-direction.
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c nv : integer, giving the total number of knots in the v-direction
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c c : real array, length (nu-4)*(nv-4)*idim, which contains the
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c b-spline coefficients.
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c u : real array of dimension (mu).
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c before entry u(i) must be set to the u co-ordinate of the
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c i-th grid point along the u-axis.
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c tu(4)<=u(i-1)<=u(i)<=tu(nu-3), i=2,...,mu.
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c mu : on entry mu must specify the number of grid points along
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c the u-axis. mu >=1.
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c v : real array of dimension (mv).
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c before entry v(j) must be set to the v co-ordinate of the
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c j-th grid point along the v-axis.
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c tv(4)<=v(j-1)<=v(j)<=tv(nv-3), j=2,...,mv.
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c mv : on entry mv must specify the number of grid points along
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c the v-axis. mv >=1.
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c mf : on entry, mf must specify the dimension of the array f.
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c mf >= mu*mv*idim
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c wrk : real array of dimension lwrk. used as workspace.
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c lwrk : integer, specifying the dimension of wrk.
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c lwrk >= 4*(mu+mv)
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c iwrk : integer array of dimension kwrk. used as workspace.
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c kwrk : integer, specifying the dimension of iwrk. kwrk >= mu+mv.
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c
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c output parameters:
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c f : real array of dimension (mf).
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c on successful exit f(mu*mv*(l-1)+mv*(i-1)+j) contains the
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c l-th co-ordinate of the bicubic spline surface at the
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c point (u(i),v(j)),l=1,...,idim,i=1,...,mu;j=1,...,mv.
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c ier : integer error flag
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c ier=0 : normal return
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c ier=10: invalid input data (see restrictions)
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c
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c restrictions:
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c mu >=1, mv >=1, lwrk>=4*(mu+mv), kwrk>=mu+mv , mf>=mu*mv*idim
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c tu(4) <= u(i-1) <= u(i) <= tu(nu-3), i=2,...,mu
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c tv(4) <= v(j-1) <= v(j) <= tv(nv-3), j=2,...,mv
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c
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c other subroutines required:
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c fpsuev,fpbspl
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c
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c references :
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c de boor c : on calculating with b-splines, j. approximation theory
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c 6 (1972) 50-62.
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c cox m.g. : the numerical evaluation of b-splines, j. inst. maths
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c applics 10 (1972) 134-149.
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c dierckx p. : curve and surface fitting with splines, monographs on
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c numerical analysis, oxford university press, 1993.
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c
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c author :
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c p.dierckx
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c dept. computer science, k.u.leuven
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c celestijnenlaan 200a, b-3001 heverlee, belgium.
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c e-mail : Paul.Dierckx@cs.kuleuven.ac.be
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c
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c latest update : march 1987
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c
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c ..scalar arguments..
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integer idim,nu,nv,mu,mv,mf,lwrk,kwrk,ier
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c ..array arguments..
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integer iwrk(kwrk)
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real*8 tu(nu),tv(nv),c((nu-4)*(nv-4)*idim),u(mu),v(mv),f(mf),
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* wrk(lwrk)
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c ..local scalars..
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integer i,muv
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c ..
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c before starting computations a data check is made. if the input data
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c are invalid control is immediately repassed to the calling program.
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ier = 10
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if(mf.lt.mu*mv*idim) go to 100
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muv = mu+mv
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if(lwrk.lt.4*muv) go to 100
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if(kwrk.lt.muv) go to 100
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if (mu.lt.1) go to 100
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if (mu.eq.1) go to 30
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go to 10
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10 do 20 i=2,mu
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if(u(i).lt.u(i-1)) go to 100
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20 continue
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30 if (mv.lt.1) go to 100
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if (mv.eq.1) go to 60
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go to 40
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40 do 50 i=2,mv
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if(v(i).lt.v(i-1)) go to 100
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50 continue
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60 ier = 0
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call fpsuev(idim,tu,nu,tv,nv,c,u,mu,v,mv,f,wrk(1),wrk(4*mu+1),
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* iwrk(1),iwrk(mu+1))
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100 return
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end
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