Initialize a bspline_6d type (with user-specified knots). This is a wrapper for db6ink.
| Type | Intent | Optional | Attributes | Name | ||
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| class(bspline_6d), | intent(inout) | :: | me | |||
| real(kind=wp), | intent(in), | dimension(:) | :: | x |
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| real(kind=wp), | intent(in), | dimension(:) | :: | y |
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| real(kind=wp), | intent(in), | dimension(:) | :: | z |
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| real(kind=wp), | intent(in), | dimension(:) | :: | q |
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| real(kind=wp), | intent(in), | dimension(:) | :: | r |
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| real(kind=wp), | intent(in), | dimension(:) | :: | s |
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| real(kind=wp), | intent(in), | dimension(:,:,:,:,:,:) | :: | fcn |
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| integer(kind=ip), | intent(in) | :: | kx |
The order of spline pieces in ( ) (order = polynomial degree + 1) |
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| integer(kind=ip), | intent(in) | :: | ky |
The order of spline pieces in ( ) (order = polynomial degree + 1) |
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| integer(kind=ip), | intent(in) | :: | kz |
The order of spline pieces in ( ) (order = polynomial degree + 1) |
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| integer(kind=ip), | intent(in) | :: | kq |
The order of spline pieces in ( ) (order = polynomial degree + 1) |
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| integer(kind=ip), | intent(in) | :: | kr |
The order of spline pieces in ( ) (order = polynomial degree + 1) |
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| integer(kind=ip), | intent(in) | :: | ks |
The order of spline pieces in ( ) (order = polynomial degree + 1) |
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| real(kind=wp), | intent(in), | dimension(:) | :: | tx |
The |
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| real(kind=wp), | intent(in), | dimension(:) | :: | ty |
The |
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| real(kind=wp), | intent(in), | dimension(:) | :: | tz |
The |
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| real(kind=wp), | intent(in), | dimension(:) | :: | tq |
The |
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| real(kind=wp), | intent(in), | dimension(:) | :: | tr |
The |
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| real(kind=wp), | intent(in), | dimension(:) | :: | ts |
The |
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| integer(kind=ip), | intent(out) | :: | iflag |
status flag (see db6ink) |
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| logical, | intent(in), | optional | :: | extrap |
if true, then extrapolation is allowed (default is false) |
pure subroutine initialize_6d_specify_knots(me,x,y,z,q,r,s,fcn,& kx,ky,kz,kq,kr,ks,& tx,ty,tz,tq,tr,ts,iflag,extrap) implicit none class(bspline_6d),intent(inout) :: me real(wp),dimension(:),intent(in) :: x !! `(nx)` array of \(x\) abcissae. Must be strictly increasing. real(wp),dimension(:),intent(in) :: y !! `(ny)` array of \(y\) abcissae. Must be strictly increasing. real(wp),dimension(:),intent(in) :: z !! `(nz)` array of \(z\) abcissae. Must be strictly increasing. real(wp),dimension(:),intent(in) :: q !! `(nq)` array of \(q\) abcissae. Must be strictly increasing. real(wp),dimension(:),intent(in) :: r !! `(nr)` array of \(r\) abcissae. Must be strictly increasing. real(wp),dimension(:),intent(in) :: s !! `(ns)` array of \(s\) abcissae. Must be strictly increasing. real(wp),dimension(:,:,:,:,:,:),intent(in) :: fcn !! `(nx,ny,nz,nq,nr,ns)` matrix of function values to interpolate. !! `fcn(i,j,k,l,m,n)` should contain the function value at the !! point (`x(i)`,`y(j)`,`z(k)`,`q(l)`,`r(m)`,`s(n)`) integer(ip),intent(in) :: kx !! The order of spline pieces in \(x\) !! ( \( 2 \le k_x < n_x \) ) !! (order = polynomial degree + 1) integer(ip),intent(in) :: ky !! The order of spline pieces in \(y\) !! ( \( 2 \le k_y < n_y \) ) !! (order = polynomial degree + 1) integer(ip),intent(in) :: kz !! The order of spline pieces in \(z\) !! ( \( 2 \le k_z < n_z \) ) !! (order = polynomial degree + 1) integer(ip),intent(in) :: kq !! The order of spline pieces in \(q\) !! ( \( 2 \le k_q < n_q \) ) !! (order = polynomial degree + 1) integer(ip),intent(in) :: kr !! The order of spline pieces in \(r\) !! ( \( 2 \le k_r < n_r \) ) !! (order = polynomial degree + 1) integer(ip),intent(in) :: ks !! The order of spline pieces in \(z\) !! ( \( 2 \le k_z < n_z \) ) !! (order = polynomial degree + 1) real(wp),dimension(:),intent(in) :: tx !! The `(nx+kx)` knots in the \(x\) direction !! for the spline interpolant. !! Must be non-decreasing. real(wp),dimension(:),intent(in) :: ty !! The `(ny+ky)` knots in the \(y\) direction !! for the spline interpolant. !! Must be non-decreasing. real(wp),dimension(:),intent(in) :: tz !! The `(nz+kz)` knots in the \(z\) direction !! for the spline interpolant. !! Must be non-decreasing. real(wp),dimension(:),intent(in) :: tq !! The `(nq+kq)` knots in the \(q\) direction !! for the spline interpolant. !! Must be non-decreasing. real(wp),dimension(:),intent(in) :: tr !! The `(nr+kr)` knots in the \(r\) direction !! for the spline interpolant. !! Must be non-decreasing. real(wp),dimension(:),intent(in) :: ts !! The `(ns+ks)` knots in the \(s\) direction !! for the spline interpolant. !! Must be non-decreasing. integer(ip),intent(out) :: iflag !! status flag (see [[db6ink]]) logical,intent(in),optional :: extrap !! if true, then extrapolation is allowed !! (default is false) integer(ip) :: nx,ny,nz,nq,nr,ns call me%destroy() nx = size(x,kind=ip) ny = size(y,kind=ip) nz = size(z,kind=ip) nq = size(q,kind=ip) nr = size(r,kind=ip) ns = size(s,kind=ip) call check_knot_vectors_sizes(nx=nx,kx=kx,tx=tx,& ny=ny,ky=ky,ty=ty,& nz=nz,kz=kz,tz=tz,& nq=nq,kq=kq,tq=tq,& nr=nr,kr=kr,tr=tr,& ns=ns,ks=ks,ts=ts,& iflag=iflag) if (iflag == 0_ip) then me%nx = nx me%ny = ny me%nz = nz me%nq = nq me%nr = nr me%ns = ns me%kx = kx me%ky = ky me%kz = kz me%kq = kq me%kr = kr me%ks = ks allocate(me%tx(nx+kx)) allocate(me%ty(ny+ky)) allocate(me%tz(nz+kz)) allocate(me%tq(nq+kq)) allocate(me%tr(nr+kr)) allocate(me%ts(ns+ks)) allocate(me%bcoef(nx,ny,nz,nq,nr,ns)) allocate(me%work_val_1(ky,kz,kq,kr,ks)) allocate(me%work_val_2(kz,kq,kr,ks)) allocate(me%work_val_3(kq,kr,ks)) allocate(me%work_val_4(kr,ks)) allocate(me%work_val_5(ks)) allocate(me%work_val_6(3_ip*max(kx,ky,kz,kq,kr,ks))) me%tx = tx me%ty = ty me%tz = tz me%tq = tq me%tr = tr me%ts = ts call db6ink(x,nx,y,ny,z,nz,q,nq,r,nr,s,ns,& fcn,& kx,ky,kz,kq,kr,ks,& 1_ip,& me%tx,me%ty,me%tz,me%tq,me%tr,me%ts,& me%bcoef,iflag) call me%set_extrap_flag(extrap) end if me%initialized = iflag==0_ip me%iflag = iflag end subroutine initialize_6d_specify_knots