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authorJoe Hunkeler <jhunkeler@gmail.com>2015-08-11 16:51:37 -0400
committerJoe Hunkeler <jhunkeler@gmail.com>2015-08-11 16:51:37 -0400
commit40e5a5811c6ffce9b0974e93cdd927cbcf60c157 (patch)
tree4464880c571602d54f6ae114729bf62a89518057 /math/gsurfit/gs_fderr.x
downloadiraf-osx-40e5a5811c6ffce9b0974e93cdd927cbcf60c157.tar.gz
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+# Copyright(c) 1986 Association of Universities for Research in Astronomy Inc.
+
+include <math/gsurfit.h>
+
+# GS_DERPOLY -- Evaluate the new polynomial derivative surface.
+
+procedure rgs_derpoly (coeff, x, y, zfit, npts, xterms, xorder, yorder, nxder,
+ nyder, k1x, k2x, k1y, k2y)
+
+real coeff[ARB] # 1D array of coefficients
+real x[npts] # x values of points to be evaluated
+real y[npts]
+real zfit[npts] # the fitted points
+int npts # number of points to be evaluated
+int xterms # cross terms ?
+int xorder,yorder # order of the polynomials in x and y
+int nxder,nyder # order of the derivatives in x and y
+real k1x, k2x # normalizing constants
+real k1y, k2y
+
+int i, k, cptr, maxorder, xincr
+pointer sp, xb, yb, xbptr, ybptr, accum
+
+begin
+ # allocate temporary space for the basis functions
+ call smark (sp)
+ call salloc (xb, xorder * npts, TY_REAL)
+ call salloc (yb, yorder * npts, TY_REAL)
+ call salloc (accum, npts, TY_REAL)
+
+ # calculate basis functions
+ call rgs_dpol (x, npts, xorder, nxder, k1x, k2x, Memr[xb])
+ call rgs_dpol (y, npts, yorder, nyder, k1y, k2y, Memr[yb])
+
+ # accumulate the output vector
+ cptr = 0
+ call aclrr (zfit, npts)
+ if (xterms != GS_XNONE) {
+ maxorder = max (xorder + 1, yorder + 1)
+ xincr = xorder
+ ybptr = yb
+ do i = 1, yorder {
+ call aclrr (Memr[accum], npts)
+ xbptr = xb
+ do k = 1, xincr {
+ call awsur (Memr[accum], Memr[xbptr], Memr[accum], npts,
+ 1.0, coeff[cptr+k])
+ xbptr = xbptr + npts
+ }
+ call gs_asumvpr (Memr[accum], Memr[ybptr], zfit, zfit, npts)
+ cptr = cptr + xincr
+ ybptr = ybptr + npts
+ switch (xterms) {
+ case GS_XHALF:
+ if ((i + xorder + 1) > maxorder)
+ xincr = xincr - 1
+ default:
+ ;
+ }
+ }
+ } else {
+ call amulr (Memr[xb], Memr[yb], zfit, npts)
+ call amulkr (zfit, coeff[1], zfit, npts)
+ xbptr = xb + npts
+ do k = 1, xorder - 1 {
+ call awsur (zfit, Memr[xbptr], zfit, npts, 1.0, coeff[k+1])
+ xbptr = xbptr + npts
+ }
+ ybptr = yb + npts
+ do k = 1, yorder - 1 {
+ call awsur (zfit, Memr[ybptr], zfit, npts, 1.0, coeff[xorder+k])
+ ybptr = ybptr + npts
+ }
+ }
+
+
+ call sfree (sp)
+end
+
+# GS_DERCHEB -- Evaluate the new Chebyshev polynomial derivative surface.
+
+procedure rgs_dercheb (coeff, x, y, zfit, npts, xterms, xorder, yorder,
+ nxder, nyder, k1x, k2x, k1y, k2y)
+
+real coeff[ARB] # 1D array of coefficients
+real x[npts] # x values of points to be evaluated
+real y[npts]
+real zfit[npts] # the fitted points
+int npts # number of points to be evaluated
+int xterms # cross terms ?
+int xorder,yorder # order of the polynomials in x and y
+int nxder,nyder # order of the derivatives in x and y
+real k1x, k2x # normalizing constants
+real k1y, k2y
+
+int i, k, cptr, maxorder, xincr
+pointer sp, xb, yb, xbptr, ybptr, accum
+
+begin
+ # allocate temporary space for the basis functions
+ call smark (sp)
+ call salloc (xb, xorder * npts, TY_REAL)
+ call salloc (yb, yorder * npts, TY_REAL)
+ call salloc (accum, npts, TY_REAL)
+
+ # calculate basis functions
+ call rgs_dcheb (x, npts, xorder, nxder, k1x, k2x, Memr[xb])
+ call rgs_dcheb (y, npts, yorder, nyder, k1y, k2y, Memr[yb])
+
+ # accumulate thr output vector
+ cptr = 0
+ call aclrr (zfit, npts)
+ if (xterms != GS_XNONE) {
+ maxorder = max (xorder + 1, yorder + 1)
+ xincr = xorder
+ ybptr = yb
+ do i = 1, yorder {
+ call aclrr (Memr[accum], npts)
+ xbptr = xb
+ do k = 1, xincr {
+ call awsur (Memr[accum], Memr[xbptr], Memr[accum], npts,
+ 1.0, coeff[cptr+k])
+ xbptr = xbptr + npts
+ }
+ call gs_asumvpr (Memr[accum], Memr[ybptr], zfit, zfit, npts)
+ cptr = cptr + xincr
+ ybptr = ybptr + npts
+ switch (xterms) {
+ case GS_XHALF:
+ if ((i + xorder + 1) > maxorder)
+ xincr = xincr - 1
+ default:
+ ;
+ }
+ }
+ } else {
+ call amulr (Memr[xb], Memr[yb], zfit, npts)
+ call amulkr (zfit, coeff[1], zfit, npts)
+ xbptr = xb + npts
+ do k = 1, xorder - 1 {
+ call awsur (zfit, Memr[xbptr], zfit, npts, 1.0, coeff[k+1])
+ xbptr = xbptr + npts
+ }
+ ybptr = yb + npts
+ do k = 1, yorder - 1 {
+ call awsur (zfit, Memr[ybptr], zfit, npts, 1.0, coeff[xorder+k])
+ ybptr = ybptr + npts
+ }
+ }
+
+ # free temporary space
+ call sfree (sp)
+end
+
+
+# GS_DERLEG -- Evaluate the new Legendre polynomial derivative surface.
+
+procedure rgs_derleg (coeff, x, y, zfit, npts, xterms, xorder, yorder,
+ nxder, nyder, k1x, k2x, k1y, k2y)
+
+real coeff[ARB] # 1D array of coefficients
+real x[npts] # x values of points to be evaluated
+real y[npts]
+real zfit[npts] # the fitted points
+int npts # number of points to be evaluated
+int xterms # cross terms ?
+int xorder,yorder # order of the polynomials in x and y
+int nxder,nyder # order of the derivatives in x and y
+real k1x, k2x # normalizing constants
+real k1y, k2y
+
+int i, k, cptr, maxorder, xincr
+pointer sp, xb, yb, accum, xbptr, ybptr
+
+begin
+ # allocate temporary space for the basis functions
+ call smark (sp)
+ call salloc (xb, xorder * npts, TY_REAL)
+ call salloc (yb, yorder * npts, TY_REAL)
+ call salloc (accum, npts, TY_REAL)
+
+ # calculate basis functions
+ call rgs_dleg (x, npts, xorder, nxder, k1x, k2x, Memr[xb])
+ call rgs_dleg (y, npts, yorder, nyder, k1y, k2y, Memr[yb])
+
+ cptr = 0
+ call aclrr (zfit, npts)
+ if (xterms != GS_XNONE) {
+ maxorder = max (xorder + 1, yorder + 1)
+ xincr = xorder
+ ybptr = yb
+ do i = 1, yorder {
+ xbptr = xb
+ call aclrr (Memr[accum], npts)
+ do k = 1, xincr {
+ call awsur (Memr[accum], Memr[xbptr], Memr[accum], npts,
+ 1.0, coeff[cptr+k])
+ xbptr = xbptr + npts
+ }
+ call gs_asumvpr (Memr[accum], Memr[ybptr], zfit, zfit, npts)
+ cptr = cptr + xincr
+ ybptr = ybptr + npts
+ switch (xterms) {
+ case GS_XHALF:
+ if ((i + xorder + 1) > maxorder)
+ xincr = xincr - 1
+ default:
+ ;
+ }
+ }
+ } else {
+ call amulr (Memr[xb], Memr[yb], zfit, npts)
+ call amulkr (zfit, coeff[1], zfit, npts)
+ xbptr = xb + npts
+ do k = 1, xorder - 1 {
+ call awsur (zfit, Memr[xbptr], zfit, npts, 1.0, coeff[k+1])
+ xbptr = xbptr + npts
+ }
+ ybptr = yb + npts
+ do k = 1, yorder - 1 {
+ call awsur (zfit, Memr[ybptr], zfit, npts, 1.0, coeff[xorder+k])
+ ybptr = ybptr + npts
+ }
+ }
+
+ # free temporary space
+ call sfree (sp)
+end