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author | Joseph Hunkeler <jhunkeler@gmail.com> | 2015-07-08 20:46:52 -0400 |
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committer | Joseph Hunkeler <jhunkeler@gmail.com> | 2015-07-08 20:46:52 -0400 |
commit | fa080de7afc95aa1c19a6e6fc0e0708ced2eadc4 (patch) | |
tree | bdda434976bc09c864f2e4fa6f16ba1952b1e555 /math/gsurfit/gs_chomat.gx | |
download | iraf-linux-fa080de7afc95aa1c19a6e6fc0e0708ced2eadc4.tar.gz |
Initial commit
Diffstat (limited to 'math/gsurfit/gs_chomat.gx')
-rw-r--r-- | math/gsurfit/gs_chomat.gx | 110 |
1 files changed, 110 insertions, 0 deletions
diff --git a/math/gsurfit/gs_chomat.gx b/math/gsurfit/gs_chomat.gx new file mode 100644 index 00000000..023b3c12 --- /dev/null +++ b/math/gsurfit/gs_chomat.gx @@ -0,0 +1,110 @@ +# Copyright(c) 1986 Association of Universities for Research in Astronomy Inc. + +include <mach.h> +include <math/gsurfit.h> +$if (datatype == r) +include "gsurfitdef.h" +$else +include "dgsurfitdef.h" +$endif + +# GSCHOFAC -- Routine to calculate the Cholesky factorization of a +# symmetric, positive semi-definite banded matrix. This routines was +# adapted from the bchfac.f routine described in "A Practical Guide +# to Splines", Carl de Boor (1978). + +procedure $tgschofac (matrix, nbands, nrows, matfac, ier) + +PIXEL matrix[nbands, nrows] # data matrix +int nbands # number of bands +int nrows # number of rows +PIXEL matfac[nbands, nrows] # Cholesky factorization +int ier # error code + +int i, n, j, imax, jmax +PIXEL ratio + +begin + if (nrows == 1) { + if (matrix[1,1] > 0.) + matfac[1,1] = 1. / matrix[1,1] + return + } + + # copy matrix into matfac + do n = 1, nrows { + do j = 1, nbands + matfac[j,n] = matrix[j,n] + } + + do n = 1, nrows { + + # test to see if matrix is singular + if (((matfac[1,n]+matrix[1,n])-matrix[1,n]) <= 1000/MAX_PIXEL) { + do j = 1, nbands + matfac[j,n] = 0. + ier = SINGULAR + next + } + + matfac[1,n] = 1. / matfac[1,n] + imax = min (nbands - 1, nrows - n) + if (imax < 1) + next + + jmax = imax + do i = 1, imax { + ratio = matfac[i+1,n] * matfac[1,n] + do j = 1, jmax + matfac[j,n+i] = matfac[j,n+i] - matfac[j+i,n] * ratio + jmax = jmax - 1 + matfac[i+1,n] = ratio + } + } +end + + +# GSCHOSLV -- Solve the matrix whose Cholesky factorization was calculated in +# GSCHOFAC for the coefficients. This routine was adapted from bchslv.f +# described in "A Practical Guide to Splines", by Carl de Boor (1978). + +procedure $tgschoslv (matfac, nbands, nrows, vector, coeff) + +PIXEL matfac[nbands,nrows] # Cholesky factorization +int nbands # number of bands +int nrows # number of rows +PIXEL vector[nrows] # right side of matrix equation +PIXEL coeff[nrows] # coefficients + +int i, n, j, jmax, nbndm1 + +begin + if (nrows == 1) { + coeff[1] = vector[1] * matfac[1,1] + return + } + + # copy vector to coefficients + do i = 1, nrows + coeff[i] = vector[i] + + # forward substitution + nbndm1 = nbands - 1 + do n = 1, nrows { + jmax = min (nbndm1, nrows - n) + if (jmax >= 1) { + do j = 1, jmax + coeff[j+n] = coeff[j+n] - matfac[j+1,n] * coeff[n] + } + } + + # back substitution + for (n = nrows; n >= 1; n = n - 1) { + coeff[n] = coeff[n] * matfac[1,n] + jmax = min (nbndm1, nrows - n) + if (jmax >= 1) { + do j = 1, jmax + coeff[n] = coeff[n] - matfac[j+1,n] * coeff[j+n] + } + } +end |