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C/MEMBR ADD NAME=INTDY,SSI=0
subroutine intdy (t, k, yh, nyh, dky, iflag)
clll. optimize
integer k, nyh, iflag
integer iownd, iowns,
1 icf, ierpj, iersl, jcur, jstart, kflag, l, meth, miter,
2 maxord, maxcor, msbp, mxncf, n, nq, nst, nfe, nje, nqu
integer i, ic, j, jb, jb2, jj, jj1, jp1
double precision t, yh, dky
double precision rownd, rowns,
1 ccmax, el0, h, hmin, hmxi, hu, rc, tn, uround
double precision c, r, s, tp
dimension yh(nyh,*), dky(*)
common /ls0001/ rownd, rowns(209),
2 ccmax, el0, h, hmin, hmxi, hu, rc, tn, uround,
3 iownd(14), iowns(6),
4 icf, ierpj, iersl, jcur, jstart, kflag, l, meth, miter,
5 maxord, maxcor, msbp, mxncf, n, nq, nst, nfe, nje, nqu
save/ls0001/
c
c%purpose
c intdy computes interpolated values of the k-th derivative of the
c dependent variable vector y, and stores it in dky. this routine
c is called within the package with k = 0 and t = tout, but may
c also be called by the user for any k up to the current order.
c (see detailed instructions in the usage documentation.)
c%method
c the computed values in dky are gotten by interpolation using the
c nordsieck history array yh. this array corresponds uniquely to a
c vector-valued polynomial of degree nqcur or less, and dky is set
c to the k-th derivative of this polynomial at t.
c the formula for dky is..
c q
c dky(i) = sum c(j,k) * (t - tn)**(j-k) * h**(-j) * yh(i,j+1)
c j=k
c where c(j,k) = j*(j-1)*...*(j-k+1), q = nqcur, tn = tcur, h = hcur.
c the quantities nq = nqcur, l = nq+1, n = neq, tn, and h are
c communicated by common. the above sum is done in reverse order.
c iflag is returned negative if either k or t is out of bounds.
c!
c-----------------------------------------------------------------------
iflag = 0
if (k .lt. 0 .or. k .gt. nq) go to 80
tp = tn - hu*(1.0d+0 + 100.0d+0*uround)
if ((t-tp)*(t-tn) .gt. 0.0d+0) go to 90
c
s = (t - tn)/h
ic = 1
if (k .eq. 0) go to 15
jj1 = l - k
do 10 jj = jj1,nq
10 ic = ic*jj
15 c = dble(ic)
do 20 i = 1,n
20 dky(i) = c*yh(i,l)
if (k .eq. nq) go to 55
jb2 = nq - k
do 50 jb = 1,jb2
j = nq - jb
jp1 = j + 1
ic = 1
if (k .eq. 0) go to 35
jj1 = jp1 - k
do 30 jj = jj1,j
30 ic = ic*jj
35 c = dble(ic)
do 40 i = 1,n
40 dky(i) = c*yh(i,jp1) + s*dky(i)
50 continue
if (k .eq. 0) return
55 r = h**(-k)
do 60 i = 1,n
60 dky(i) = r*dky(i)
return
c
80 call xerrwv('intdy-- k (=i1) illegal ',
1 30, 51, 1, 1, k, 0, 0, 0.0d+0, 0.0d+0)
iflag = -1
return
90 call xerrwv('intdy-- t (=r1) illegal ',
1 30, 52, 1, 0, 0, 0, 1, t, 0.0d+0)
call xerrwv(
1' t n est pas entre tcur - hu (= r1) et tcur (=r2)',
1 60, 52, 1, 0, 0, 0, 2, tp, tn)
iflag = -2
return
c----------------------- end of subroutine intdy -----------------------
end
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