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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/curfit/cv_b1eval.gx
downloadiraf-osx-40e5a5811c6ffce9b0974e93cdd927cbcf60c157.tar.gz
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+# Copyright(c) 1986 Association of Universities for Research in Astronomy Inc.
+
+# CV_B1LEG -- Procedure to evaluate all the non-zero Legendrefunctions for
+# a single point and given order.
+
+procedure $tcv_b1leg (x, order, k1, k2, basis)
+
+PIXEL x # array of data points
+int order # order of polynomial, order = 1, constant
+PIXEL k1, k2 # normalizing constants
+PIXEL basis[ARB] # basis functions
+
+int i
+PIXEL ri, xnorm
+
+begin
+ basis[1] = PIXEL(1.0)
+ if (order == 1)
+ return
+
+ xnorm = (x + k1) * k2
+ basis[2] = xnorm
+ if (order == 2)
+ return
+
+ do i = 3, order {
+ ri = i
+ basis[i] = ((PIXEL(2.0) * ri - PIXEL(3.0)) * xnorm * basis[i-1] -
+ (ri - PIXEL(2.0)) * basis[i-2]) / (ri - PIXEL(1.0))
+ }
+end
+
+
+# CV_B1CHEB -- Procedure to evaluate all the non zero Chebyshev function
+# for a given x and order.
+
+procedure $tcv_b1cheb (x, order, k1, k2, basis)
+
+PIXEL x # number of data points
+int order # order of polynomial, 1 is a constant
+PIXEL k1, k2 # normalizing constants
+PIXEL basis[ARB] # array of basis functions
+
+int i
+PIXEL xnorm
+
+begin
+ basis[1] = PIXEL(1.0)
+ if (order == 1)
+ return
+
+ xnorm = (x + k1) * k2
+ basis[2] = xnorm
+ if (order == 2)
+ return
+
+ do i = 3, order
+ basis[i] = PIXEL(2.0) * xnorm * basis[i-1] - basis[i-2]
+end
+
+
+# CV_B1SPLINE1 -- Evaluate all the non-zero spline1 functions for a
+# single point.
+
+procedure $tcv_b1spline1 (x, npieces, k1, k2, basis, left)
+
+PIXEL x # set of data points
+int npieces # number of polynomial pieces minus 1
+PIXEL k1, k2 # normalizing constants
+PIXEL basis[ARB] # basis functions
+int left # index of the appropriate spline functions
+
+PIXEL xnorm
+
+begin
+ xnorm = (x + k1) * k2
+ left = min (int (xnorm), npieces)
+
+ basis[2] = max (PIXEL(0.0), min (PIXEL(1.0), xnorm - left))
+ basis[1] = max (PIXEL(0.0), min (PIXEL(1.0), PIXEL(1.0) - basis[2]))
+end
+
+
+# CV_B1SPLINE3 -- Procedure to evaluate all the non-zero basis functions
+# for a cubic spline.
+
+procedure $tcv_b1spline3 (x, npieces, k1, k2, basis, left)
+
+PIXEL x # array of data points
+int npieces # number of polynomial pieces
+PIXEL k1, k2 # normalizing constants
+PIXEL basis[ARB] # array of basis functions
+int left # array of indices for first non-zero spline
+
+PIXEL sx, tx
+
+begin
+ sx = (x + k1) * k2
+ left = min (int (sx), npieces)
+
+ sx = max (PIXEL(0.0), min (PIXEL(1.0), sx - left))
+ tx = max (PIXEL(0.0), min (PIXEL(1.0), PIXEL(1.0) - sx))
+
+ basis[1] = tx * tx * tx
+ basis[2] = PIXEL(1.0) + tx * (PIXEL(3.0) + tx * (PIXEL(3.0) -
+ PIXEL(3.0) * tx))
+ basis[3] = PIXEL(1.0) + sx * (PIXEL(3.0) + sx * (PIXEL(3.0) -
+ PIXEL(3.0) * sx))
+ basis[4] = sx * sx * sx
+end