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author | Joe Hunkeler <jhunkeler@gmail.com> | 2015-08-11 16:51:37 -0400 |
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committer | Joe Hunkeler <jhunkeler@gmail.com> | 2015-08-11 16:51:37 -0400 |
commit | 40e5a5811c6ffce9b0974e93cdd927cbcf60c157 (patch) | |
tree | 4464880c571602d54f6ae114729bf62a89518057 /math/surfit/isresolve.x | |
download | iraf-osx-40e5a5811c6ffce9b0974e93cdd927cbcf60c157.tar.gz |
Repatch (from linux) of OSX IRAF
Diffstat (limited to 'math/surfit/isresolve.x')
-rw-r--r-- | math/surfit/isresolve.x | 127 |
1 files changed, 127 insertions, 0 deletions
diff --git a/math/surfit/isresolve.x b/math/surfit/isresolve.x new file mode 100644 index 00000000..7af6a8da --- /dev/null +++ b/math/surfit/isresolve.x @@ -0,0 +1,127 @@ +# Copyright(c) 1986 Association of Universities for Research in Astronomy Inc. + +include <math/surfit.h> +include "surfitdef.h" + +# ISRESOLVE -- Procedure to solve the x coefficient matrix for the surface +# coefficients assuming that the lines array is unchanged since the last +# call to SIFSOLVE. The Cholesky factorization of YMATRIX is assumed to be +# stored in YMATRIX. The inner product of the y basis functions and i-th +# column of XCOEFF containing the i-th x coefficients for each line are +# calculated and stored in the i-th row of the SF_NYCOEFF(sf) by +# SF_NXCOEFF(sf) array COEFF. Each of the SF_NXCOEFF(sf) rows of COEFF +# is solved to determine the SF_NYCOEFF(sf) by SF_NXCOEFF(sf) surface +# coefficients. After a call to SIFSOLVE the coefficient for the i-th +# y basis function and the j-th x coefficient is found in the j-th row +# and i-th column of COEFF. + +procedure isresolve (sf, lines, ier) + +pointer sf # pointer to the surface descriptor structure +int lines[ARB] # line numbers included in the fit +int ier # error code + +int i, j, k, nxcoeff +pointer ybzptr +pointer ylzptr +pointer xczptr, xcptr, xcindex +pointer czptr, cptr +pointer left, tleft +pointer sp + +begin + # define pointers + ybzptr = SF_YBASIS(sf) - 1 + xczptr = SF_XCOEFF(sf) - SF_NXCOEFF(sf) - 1 + czptr = SF_COEFF(sf) - 1 + + # zero out coefficient matrix + call aclrr (COEFF(SF_COEFF(sf)), SF_NXCOEFF(sf) * SF_NYCOEFF(sf)) + + switch (SF_TYPE(sf)) { + case SF_LEGENDRE, SF_CHEBYSHEV: + + # loop over the y basis functions + nxcoeff = SF_NXCOEFF(sf) + do i = 1, SF_YORDER(sf) { + cptr = czptr + i + do k = 1, nxcoeff { + xcptr = xczptr + k + do j = 1, SF_NYPTS(sf) { + xcindex = xcptr + lines[j] * SF_NXCOEFF(sf) + COEFF(cptr) = COEFF(cptr) + + YBASIS(ybzptr+lines[j]) * XCOEFF(xcindex) + } + cptr = cptr + SF_NYCOEFF(sf) + } + + ybzptr = ybzptr + SF_NYPTS(sf) + + # if SF_XTERMS(sf) = NO do not accumulate elements + # of COEFF where i != 1 and k != 1 + if (SF_XTERMS(sf) == NO) + nxcoeff = 1 + } + + case SF_SPLINE3, SF_SPLINE1: + call smark (sp) + call salloc (left, SF_NYPTS(sf), TY_INT) + call salloc (tleft, SF_NYPTS(sf), TY_INT) + + ylzptr = SF_YLEFT(sf) - 1 + do j = 1, SF_NYPTS(sf) + Memi[left+j-1] = YLEFT(ylzptr+lines[j]) + call aaddki (Memi[left], czptr, Memi[left], SF_NYPTS(sf)) + + nxcoeff = SF_NXCOEFF(sf) + do i = 1, SF_YORDER(sf) { + call aaddki (Memi[left], i, Memi[tleft], SF_NYPTS(sf)) + do k = 1, nxcoeff { + xcptr = xczptr + k + do j = 1, SF_NYPTS(sf) { + cptr = Memi[tleft+j-1] + xcindex = xcptr + lines[j] * SF_NXCOEFF(sf) + COEFF(cptr) = COEFF(cptr) + YBASIS(ybzptr+lines[j]) * + XCOEFF(xcindex) + } + call aaddki (Memi[tleft], SF_NYCOEFF(sf), Memi[tleft], + SF_NYPTS(sf)) + } + + ybzptr = ybzptr + SF_NYPTS(sf) + } + + call sfree (sp) + } + + # return if not enough points + ier = OK + if ((SF_NYPTS(sf) - SF_NYCOEFF(sf)) < 0) { + ier = NO_DEG_FREEDOM + return + } + + if (SF_XTERMS(sf) == YES) { + + # solve for the nxcoeff right sides + cptr = SF_COEFF(sf) + do i = 1, SF_NXCOEFF(sf) { + call sfchoslv (YMATRIX(SF_YMATRIX(sf)), SF_YORDER(sf), + SF_NYCOEFF(sf), COEFF(cptr), COEFF(cptr)) + cptr = cptr + SF_NYCOEFF(sf) + } + + } else { + + # solve for the y coefficients + cptr = SF_NYCOEFF(sf) + call sfchoslv (YMATRIX(SF_YMATRIX(sf)), SF_YORDER(sf), + SF_NYCOEFF(sf), COEFF(cptr), COEFF(cptr)) + + # solve for the x coefficients + do i = 2, SF_NXCOEFF(sf) { + cptr = czptr + SF_NYCOEFF(sf) + COEFF(cptr) = COEFF(cptr) / SF_NYPTS(sf) + } + } +end |