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--- a/src/interp/nag-e02b.boot
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--- Copyright (c) 1991-2002, The Numerical ALgorithms Group Ltd.
--- All rights reserved.
--- Copyright (C) 2007, Gabriel Dos Reis.
--- All rights reserved.
---
--- Redistribution and use in source and binary forms, with or without
--- modification, are permitted provided that the following conditions are
--- met:
---
--- - Redistributions of source code must retain the above copyright
--- notice, this list of conditions and the following disclaimer.
---
--- - Redistributions in binary form must reproduce the above copyright
--- notice, this list of conditions and the following disclaimer in
--- the documentation and/or other materials provided with the
--- distribution.
---
--- - Neither the name of The Numerical ALgorithms Group Ltd. nor the
--- names of its contributors may be used to endorse or promote products
--- derived from this software without specific prior written permission.
---
--- THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS
--- IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
--- TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A
--- PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER
--- OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
--- EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
--- PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
--- PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
--- LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
--- NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
--- SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
-
-
-import '"macros"
-)package "BOOT"
-
--- READ THIS NOW!
---
--- The automatic make fails to compile this file properly, leaving a
--- truncated clisp file in int/interp. So if you change this file it
--- must be compiled by hand in the interpreter (which works fine).
--- MCD.
---
-
-e02daf() ==
- htInitPage('"E02DAF - Least-squares surface fit, bicubic splines",nil)
- htMakePage '(
- (domainConditions
- (isDomain PI (PositiveInteger)))
- (text . "\windowlink{Manual Page}{manpageXXe02daf} for this routine ")
- (text . "\newline ")
- (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|e02daf| '|NagFittingPackage|)} for this routine")
- (text . "\newline \horizontalline ")
- (text . "Determines a minimal, least squares bicubic B-spline surface fit")
- (text . "\htbitmap{e02daf} to the set of points ")
- (text . "{\em (\htbitmap{xr},\htbitmap{yr},\htbitmap{fr})} with weights ")
- (text . "\htbitmap{wr}, for r = 1,2,...,m. The user must supply internal ")
- (text . "knot sets {\lambda},in the x-direction and {\mu} in the ")
- (text . "y-direction, ")
- (text . "which can be thought of as dividing the data region into panels;")
- (text . "s(x,y) consists of a seperate bicubic polynomial in each panel, ")
- (text . "the polynomial joining together with second derivative ")
- (text . "continuity. Eight additional (external) knots are added to each ")
- (text . "of the knot sets by this routine. The routine minimizes \Sigma, ")
- (text . "the sum of squares of the weighted residuals ")
- (text . "\htbitmap{e02daf1}, for r = 1,2,...,m, subject to the ")
- (text . "given knot sets. \newline ")
- (text . "A call of this routine should be preceded by a call of E02ZAF ")
- (text . "to provide indexing information. ")
- (text . "\blankline ")
- (text . "\newline \menuitemstyle{}\tab{2} \newline ")
- (text . "Number of data points {\it m}: ")
- (text . "\newline\tab{2} ")
- (bcStrings (6 30 m PI))
- (text . "\blankline ")
- (text . "\newline ")
- (text . "\menuitemstyle{}\tab{2}")
- (text . "\newline Knots in x direction {\em px}")
- (text . "\htbitmap{great=} 8: \tab{32} \menuitemstyle{}\tab{34}")
- (text . "Knots in y direction {\em py}:")
- (text . "\newline\tab{2} ")
- (bcStrings (6 8 px PI))
- (text . "\tab{34} ")
- (bcStrings (6 10 py PI))
- (text . "\blankline ")
- (text . "\newline ")
- (text . "\menuitemstyle{}\tab{2}")
- (text . "\newline Rank threshold {\em eps}:")
- (text . "\newline\tab{2} ")
- (bcStrings (10 "0.000001" eps F))
- (text . "\blankline ")
- (text . "\newline \menuitemstyle{}\tab{2} \newline ")
- (text . "Dimension of point {\it npoint}: ")
- (text . "\newline\tab{2} ")
- (bcStrings (6 43 npoint PI))
- -- include a radio button later to allow switching of
- -- x & y if px <= py
- (text . "\blankline ")
- (text . "\newline ")
- (text . "\menuitemstyle{} \tab{2} ")
- (text . "\newline \tab{2} ")
- (text . "Ifail value: ")
- (radioButtons ifail
- ("" " -1, Print error messages" minusOne)
- ("" " 1, Suppress error messages" one)))
- htMakeDoneButton('"Continue", 'e02dafSolve)
- htShowPage()
-
-e02dafSolve htPage ==
- m :=
- $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'm)
- objValUnwrap htpLabelSpadValue(htPage, 'm)
- px :=
- $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'px)
- objValUnwrap htpLabelSpadValue(htPage, 'px)
- py :=
- $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'py)
- objValUnwrap htpLabelSpadValue(htPage, 'py)
- npoint :=
- $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'npoint)
- objValUnwrap htpLabelSpadValue(htPage, 'npoint)
- nc := (px - 4)*(py - 4)
- nws := (2*nc + 1)*(3*py - 6) -2
- eps := htpLabelInputString(htPage,'eps)
- error := htpButtonValue(htPage,'ifail)
- ifail :=
- error = 'one => '1
- '-1
- ((m = '30 and px = '8) and py = '10) => e02dafDefaultSolve(htPage,eps,nws,npoint,ifail)
- labelList :=
- "append"/[fxy(i) for i in 1..m] where fxy(i) ==
- prefix := ('"\newline \tab{2} ")
- middle := ('"\tab{17} ")
- next := ('"\tab{32} ")
- end := ('"\tab{47} ")
- xnam := INTERN STRCONC ('"x",STRINGIMAGE i)
- ynam := INTERN STRCONC ('"y",STRINGIMAGE i)
- fnam := INTERN STRCONC ('"f",STRINGIMAGE i)
- wnam := INTERN STRCONC ('"w",STRINGIMAGE i)
- [['text,:prefix],['bcStrings,[8, 0.0, xnam, 'F]],
- ['text,:middle],['bcStrings,[8, 0.0, ynam, 'F]],
- ['text,:next],['bcStrings,[8, 0.0, fnam, 'F]],
- ['text,:end],['bcStrings,[8, 0.0, wnam, 'F]]]
- lamList :=
- "append"/[flam(i) for i in 5..(px-4)] where flam(i) ==
- lnam := INTERN STRCONC ('"l",STRINGIMAGE i)
- [['bcStrings,[8, 0.0, lnam, 'F]]]
- prefix := ('"\blankline \menuitemstyle{} \tab{2} lamda(5) to lamda(px-4): ")
- prefix := STRCONC(prefix,"\newline \tab{2} ")
- postfix := ('"\newline \blankline ")
- lamList := [['text,:prefix],:lamList,['text,:postfix]]
- muList :=
- "append"/[fmu(i) for i in 5..(py-4)] where fmu(i) ==
- mnam := INTERN STRCONC ('"m",STRINGIMAGE i)
- [['bcStrings,[8, 0.0, mnam, 'F]]]
- prefix := ('"\menuitemstyle{} \tab{2} mu(5) to mu(py-4):")
- prefix := STRCONC(prefix,"\newline \tab{2} ")
- muList := [['text,:prefix],:muList]
- pList :=
- "append"/[fp(i) for i in 1..npoint] where fp(i) ==
- prefix := ('"\newline \tab{2} ")
- pnam := INTERN STRCONC ('"p",STRINGIMAGE i)
- [['text,:prefix],['bcStrings,[8, 0.0, pnam, 'F]]]
- prefix := ('"\blankline \menuitemstyle{} \tab{2} Enter values of Point: ")
- pList := [['text,:prefix],:pList]
- equationPart := [
- '(domainConditions
- (isDomain P (Polynomial $EmptyMode))
- (isDomain S (String))
- (isDomain F (Float))
- (isDomain PI (PositiveInteger))),
- :labelList,:lamList,:muList,:pList]
- page := htInitPage('"E02DAF - Least-squares surface fit, bicubic splines",nil)
- htSay '"\menuitemstyle{}\tab{2} Values of \htbitmap{xr}: "
- htSay '"\tab{15} \menuitemstyle{}\tab{17} Values of \htbitmap{yr}:"
- htSay '"\tab{30} \menuitemstyle{}\tab{32} Values of \htbitmap{fr}:"
- htSay '"\tab{44} \menuitemstyle{}\tab{46} Values of \htbitmap{wr}:"
- htMakePage equationPart
- htSay '"\blankline "
- htMakeDoneButton('"Continue",'e02dafGen)
- htpSetProperty(page,'m,m)
- htpSetProperty(page,'px,px)
- htpSetProperty(page,'py,py)
- htpSetProperty(page,'nws,nws)
- htpSetProperty(page,'eps,eps)
- htpSetProperty(page,'npoint,npoint)
- htpSetProperty(page,'ifail,ifail)
- htpSetProperty(page,'inputArea, htpInputAreaAlist htPage)
- htShowPage()
-
-
-e02dafDefaultSolve (htPage,eps,nws,npoint,ifail) ==
- m := '30
- px := '8
- py := '10
- page := htInitPage('"E02DAF - Least-squares surface fit, bicubic splines",nil)
- htMakePage '(
- (domainConditions
- (isDomain F (Float)))
- (text . "\newline ")
- (text . "\menuitemstyle{}\tab{2} Values of \htbitmap{xr}:")
- (text . "\tab{15} \menuitemstyle{} \tab{17} Values of ")
- (text . "\htbitmap{yr}: \tab{30} \menuitemstyle{} \tab{32} ")
- (text . "Values of \htbitmap{fr}: \tab{44} \menuitemstyle{} ")
- (text . "\tab{46} Values of \htbitmap{wr}:")
- (text . "\newline \tab{2} ")
- (bcStrings (8 "-0.52" x1 F))
- (text . "\tab{17}")
- (bcStrings (8 "0.60" y1 F))
- (text . "\tab{32}")
- (bcStrings (8 "0.93" f1 F))
- (text . "\tab{47}")
- (bcStrings (8 "10" w1 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "-0.61" x2 F))
- (text . "\tab{17}")
- (bcStrings (8 "-0.95" y2 F))
- (text . "\tab{32}")
- (bcStrings (8 "-1.79" f2 F))
- (text . "\tab{47}")
- (bcStrings (8 "10" w2 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "0.93" x3 F))
- (text . "\tab{17}")
- (bcStrings (8 "0.87" y3 F))
- (text . "\tab{32}")
- (bcStrings (8 "0.36" f3 F))
- (text . "\tab{47}")
- (bcStrings (8 "10" w3 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "0.09" x4 F))
- (text . "\tab{17}")
- (bcStrings (8 "0.84" y4 F))
- (text . "\tab{32}")
- (bcStrings (8 "0.52" f4 F))
- (text . "\tab{47}")
- (bcStrings (8 "10" w4 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "0.88" x5 F))
- (text . "\tab{17}")
- (bcStrings (8 "0.17" y5 F))
- (text . "\tab{32}")
- (bcStrings (8 "0.49" f5 F))
- (text . "\tab{47}")
- (bcStrings (8 "10" w5 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "-0.70" x6 F))
- (text . "\tab{17}")
- (bcStrings (8 "-0.87" y6 F))
- (text . "\tab{32}")
- (bcStrings (8 "-1.76" f6 F))
- (text . "\tab{47}")
- (bcStrings (8 "10" w6 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "1" x7 F))
- (text . "\tab{17}")
- (bcStrings (8 "1" y7 F))
- (text . "\tab{32}")
- (bcStrings (8 "0.33" f7 F))
- (text . "\tab{47}")
- (bcStrings (8 "1" w7 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "1" x8 F))
- (text . "\tab{17}")
- (bcStrings (8 "0.1" y8 F))
- (text . "\tab{32}")
- (bcStrings (8 "0.48" f8 F))
- (text . "\tab{47}")
- (bcStrings (8 "1" w8 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "0.3" x9 F))
- (text . "\tab{17}")
- (bcStrings (8 "0.24" y9 F))
- (text . "\tab{32}")
- (bcStrings (8 "0.65" f9 F))
- (text . "\tab{47}")
- (bcStrings (8 "1" w9 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "-0.77" x10 F))
- (text . "\tab{17}")
- (bcStrings (8 "-0.77" y10 F))
- (text . "\tab{32}")
- (bcStrings (8 "-1.82" f10 F))
- (text . "\tab{47}")
- (bcStrings (8 "1" w10 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "-0.23" x11 F))
- (text . "\tab{17}")
- (bcStrings (8 "0.32" y11 F))
- (text . "\tab{32}")
- (bcStrings (8 "0.92" f11 F))
- (text . "\tab{47}")
- (bcStrings (8 "1" w11 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "-1" x12 F))
- (text . "\tab{17}")
- (bcStrings (8 "1" y12 F))
- (text . "\tab{32}")
- (bcStrings (8 "1" f12 F))
- (text . "\tab{47}")
- (bcStrings (8 "1" w12 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "-0.26" x13 F))
- (text . "\tab{17}")
- (bcStrings (8 "-0.63" y13 F))
- (text . "\tab{32}")
- (bcStrings (8 "8.88" f13 F))
- (text . "\tab{47}")
- (bcStrings (8 "1" w13 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "-0.83" x14 F))
- (text . "\tab{17}")
- (bcStrings (8 "-0.66" y14 F))
- (text . "\tab{32}")
- (bcStrings (8 "-2.01" f14 F))
- (text . "\tab{47}")
- (bcStrings (8 "1" w14 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "0.22" x15 F))
- (text . "\tab{17}")
- (bcStrings (8 "0.93" y15 F))
- (text . "\tab{32}")
- (bcStrings (8 "0.47" f15 F))
- (text . "\tab{47}")
- (bcStrings (8 "1" w15 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "0.89" x16 F))
- (text . "\tab{17}")
- (bcStrings (8 "0.15" y16 F))
- (text . "\tab{32}")
- (bcStrings (8 "0.49" f16 F))
- (text . "\tab{47}")
- (bcStrings (8 "1" w16 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "-0.80" x17 F))
- (text . "\tab{17}")
- (bcStrings (8 "0.99" y17 F))
- (text . "\tab{32}")
- (bcStrings (8 "0.84" f17 F))
- (text . "\tab{47}")
- (bcStrings (8 "1" w17 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "-0.88" x18 F))
- (text . "\tab{17}")
- (bcStrings (8 "-0.54" y18 F))
- (text . "\tab{32}")
- (bcStrings (8 "-2.42" f18 F))
- (text . "\tab{47}")
- (bcStrings (8 "1" w18 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "0.68" x19 F))
- (text . "\tab{17}")
- (bcStrings (8 "0.44" y19 F))
- (text . "\tab{32}")
- (bcStrings (8 "0.47" f19 F))
- (text . "\tab{47}")
- (bcStrings (8 "1" w19 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "-0.14" x20 F))
- (text . "\tab{17}")
- (bcStrings (8 "-0.72" y20 F))
- (text . "\tab{32}")
- (bcStrings (8 "7.15" f20 F))
- (text . "\tab{47}")
- (bcStrings (8 "1" w20 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "0.67" x21 F))
- (text . "\tab{17}")
- (bcStrings (8 "0.63" y21 F))
- (text . "\tab{32}")
- (bcStrings (8 "0.44" f21 F))
- (text . "\tab{47}")
- (bcStrings (8 "1" w21 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "-0.90" x22 F))
- (text . "\tab{17}")
- (bcStrings (8 "-0.40" y22 F))
- (text . "\tab{32}")
- (bcStrings (8 "-3.34" f22 F))
- (text . "\tab{47}")
- (bcStrings (8 "1" w22 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "-0.84" x23 F))
- (text . "\tab{17}")
- (bcStrings (8 "0.20" y23 F))
- (text . "\tab{32}")
- (bcStrings (8 "2.78" f23 F))
- (text . "\tab{47}")
- (bcStrings (8 "1" w23 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "0.84" x24 F))
- (text . "\tab{17}")
- (bcStrings (8 "0.43" y24 F))
- (text . "\tab{32}")
- (bcStrings (8 "0.44" f24 F))
- (text . "\tab{47}")
- (bcStrings (8 "1" w24 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "0.15" x25 F))
- (text . "\tab{17}")
- (bcStrings (8 "0.28" y25 F))
- (text . "\tab{32}")
- (bcStrings (8 "0.70" f25 F))
- (text . "\tab{47}")
- (bcStrings (8 "1" w25 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "-0.91" x26 F))
- (text . "\tab{17}")
- (bcStrings (8 "-0.24" y26 F))
- (text . "\tab{32}")
- (bcStrings (8 "-6.52" f26 F))
- (text . "\tab{47}")
- (bcStrings (8 "1" w26 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "-0.35" x27 F))
- (text . "\tab{17}")
- (bcStrings (8 "0.86" y27 F))
- (text . "\tab{32}")
- (bcStrings (8 "0.66" f27 F))
- (text . "\tab{47}")
- (bcStrings (8 "1" w27 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "-0.16" x28 F))
- (text . "\tab{17}")
- (bcStrings (8 "-0.41" y28 F))
- (text . "\tab{32}")
- (bcStrings (8 "2.32" f28 F))
- (text . "\tab{47}")
- (bcStrings (8 "1" w28 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "-0.35" x29 F))
- (text . "\tab{17}")
- (bcStrings (8 "-0.05" y29 F))
- (text . "\tab{32}")
- (bcStrings (8 "1.66" f29 F))
- (text . "\tab{47}")
- (bcStrings (8 "1" w29 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "-1" x30 F))
- (text . "\tab{17}")
- (bcStrings (8 "-1" y30 F))
- (text . "\tab{32}")
- (bcStrings (8 "-1" f30 F))
- (text . "\tab{47}")
- (bcStrings (8 "1" w30 F))
- (text . "\blankline ")
- (text . "\menuitemstyle{}\tab{2} mu(5) to mu(py-4):")
- (text . "\newline \tab{2}")
- (bcStrings (8 "-0.50" mu5 F))
- (bcStrings (8 "0.00" mu6 F))
- (text . "\blankline ")
- (text . "\menuitemstyle{}\tab{2} Enter values for point:")
- (text . "\newline \tab{2}")
- (bcStrings (6 3 p1 PI))
- (text . "\newline \tab{2}")
- (bcStrings (6 6 p2 PI))
- (text . "\newline \tab{2}")
- (bcStrings (6 4 p3 PI))
- (text . "\newline \tab{2}")
- (bcStrings (6 5 p4 PI))
- (text . "\newline \tab{2}")
- (bcStrings (6 7 p5 PI))
- (text . "\newline \tab{2}")
- (bcStrings (6 10 p6 PI))
- (text . "\newline \tab{2}")
- (bcStrings (6 8 p7 PI))
- (text . "\newline \tab{2}")
- (bcStrings (6 9 p8 PI))
- (text . "\newline \tab{2}")
- (bcStrings (6 11 p9 PI))
- (text . "\newline \tab{2}")
- (bcStrings (6 13 p10 PI))
- (text . "\newline \tab{2}")
- (bcStrings (6 12 p11 PI))
- (text . "\newline \tab{2}")
- (bcStrings (6 15 p12 PI))
- (text . "\newline \tab{2}")
- (bcStrings (6 14 p13 PI))
- (text . "\newline \tab{2}")
- (bcStrings (6 18 p14 PI))
- (text . "\newline \tab{2}")
- (bcStrings (6 16 p15 PI))
- (text . "\newline \tab{2}")
- (bcStrings (6 17 p16 PI))
- (text . "\newline \tab{2}")
- (bcStrings (6 19 p17 PI))
- (text . "\newline \tab{2}")
- (bcStrings (6 20 p18 PI))
- (text . "\newline \tab{2}")
- (bcStrings (6 21 p19 PI))
- (text . "\newline \tab{2}")
- (bcStrings (6 30 p20 PI))
- (text . "\newline \tab{2}")
- (bcStrings (6 23 p21 PI))
- (text . "\newline \tab{2}")
- (bcStrings (6 26 p22 PI))
- (text . "\newline \tab{2}")
- (bcStrings (6 24 p23 PI))
- (text . "\newline \tab{2}")
- (bcStrings (6 25 p24 PI))
- (text . "\newline \tab{2}")
- (bcStrings (6 27 p25 PI))
- (text . "\newline \tab{2}")
- (bcStrings (6 28 p26 PI))
- (text . "\newline \tab{2}")
- (bcStrings (6 0 p27 PI))
- (text . "\newline \tab{2}")
- (bcStrings (6 29 p28 PI))
- (text . "\newline \tab{2}")
- (bcStrings (6 0 p29 PI))
- (text . "\newline \tab{2}")
- (bcStrings (6 0 p30 PI))
- (text . "\newline \tab{2}")
- (bcStrings (6 2 p31 PI))
- (text . "\newline \tab{2}")
- (bcStrings (6 22 p32 PI))
- (text . "\newline \tab{2}")
- (bcStrings (6 1 p33 PI))
- (text . "\newline \tab{2}")
- (bcStrings (6 0 p34 PI))
- (text . "\newline \tab{2}")
- (bcStrings (6 0 p35 PI))
- (text . "\newline \tab{2}")
- (bcStrings (6 0 p36 PI))
- (text . "\newline \tab{2}")
- (bcStrings (6 0 p37 PI))
- (text . "\newline \tab{2}")
- (bcStrings (6 0 p38 PI))
- (text . "\newline \tab{2}")
- (bcStrings (6 0 p39 PI))
- (text . "\newline \tab{2}")
- (bcStrings (6 0 p40 PI))
- (text . "\newline \tab{2}")
- (bcStrings (6 0 p41 PI))
- (text . "\newline \tab{2}")
- (bcStrings (6 0 p42 PI))
- (text . "\newline \tab{2}")
- (bcStrings (6 0 p43 PI))
- (text . "\blankline"))
- htMakeDoneButton('"Continue",'e02dafGen)
- htpSetProperty(page,'m,m)
- htpSetProperty(page,'px,px)
- htpSetProperty(page,'py,py)
- htpSetProperty(page,'nws,nws)
- htpSetProperty(page,'eps,eps)
- htpSetProperty(page,'npoint,npoint)
- htpSetProperty(page,'ifail,ifail)
- htpSetProperty(page,'inputArea, htpInputAreaAlist htPage)
- htShowPage()
-
-e02dafGen htPage ==
- m := htpProperty(htPage,'m)
- px := htpProperty(htPage,'px)
- py := htpProperty(htPage,'py)
- nws := htpProperty(htPage,'nws)
- eps := htpProperty(htPage,'eps)
- npoint := htpProperty(htPage,'npoint)
- ifail := htpProperty(htPage,'ifail)
- alist := htpInputAreaAlist htPage
- y := alist
- nadres := (px-7)*(py-7)
- -- point
- for i in 1..npoint repeat
- right := STRCONC ((first y).1," ")
- y := rest y
- pointList := [right,:pointList]
- pstring := bcwords2liststring pointList
- -- mu
- for i in 1..4 repeat
- muList := ['"0 ",:muList]
- for i in 5..(py-4) repeat
- right := STRCONC ((first y).1," ")
- y := rest y
- muList := [right,:muList]
- for i in (py-3)..py repeat
- muList := ['"0 ",:muList]
- mustring := bcwords2liststring muList
- -- lamda
- for i in 1..4 repeat
- lamList := ['"0 ",:lamList]
- for i in 5..(px-4) repeat
- right := STRCONC ((first y).1," ")
- y := rest y
- lamList := [right,:lamList]
- for i in (px-3)..px repeat
- lamList := ['"0 ",:lamList]
- lamstring := bcwords2liststring lamList
- -- x & y
- while y repeat
- one := STRCONC((first y).1," ")
- y := rest y
- two := STRCONC((first y).1," ")
- y := rest y
- three := STRCONC ((first y).1," ")
- y := rest y
- four := STRCONC ((first y).1," ")
- y := rest y
- xlist := [four,:xlist]
- ylist := [three,:ylist]
- flist := [two,:flist]
- wlist := [one,:wlist]
- xstring := bcwords2liststring xlist
- ystring := bcwords2liststring ylist
- fstring := bcwords2liststring flist
- wstring := bcwords2liststring wlist
- nc := (px-4)*(py-4)
- prefix := STRCONC('"e02daf(",STRINGIMAGE m,", ",STRINGIMAGE px,", ")
- prefix := STRCONC(prefix,STRINGIMAGE py,",[",xstring,"],[",ystring,"],[")
- prefix := STRCONC(prefix,fstring,"],[",wstring,"],[",mustring,"],[")
- prefix := STRCONC(prefix,pstring,"], ",STRINGIMAGE npoint,", ")
- prefix := STRCONC(prefix,STRINGIMAGE nc,", ",STRINGIMAGE nws,", ",eps,", [")
- prefix := STRCONC(prefix,lamstring,"], ",STRINGIMAGE ifail,")")
- linkGen prefix
-
-
-e02dcf() ==
- htInitPage('"E02DCF - Least-squares curve by bicubic splines with automatic knot placement, data on a rectangular grid",nil)
- htMakePage '(
- (domainConditions
- (isDomain PI (PositiveInteger)))
- (text . "\windowlink{Manual Page}{manpageXXe02dcf} for this routine ")
- (text . "\newline ")
- (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|e02dcf| '|NagFittingPackage|)} for this routine")
- (text . "\newline \horizontalline ")
- (text . "\newline ")
- (text . "Determines a bicubic spline approximation to a set of points ")
- (text . "given on a rectangular grid defined by \htbitmap{mx} ")
- (text . "points \htbitmap{xq} on the x-axis and ")
- (text . "\htbitmap{my} points \htbitmap{yr} on the ")
- (text . "y-axix. The knots \htbitmap{lamdai}, for i = 1,2,...,")
- (text . "\htbitmap{nx} and \htbitmap{mui}, for ")
- (text . "i = 1,2,...,\htbitmap{ny} are chosen for this routine ")
- (text . ", but a single parameter S must be specified to control the ")
- (text . "trade-off between closeness of fit and smoothness of fit. This ")
- (text . "affects the number of knots required by the spline, which is ")
- (text . "given in the B-spline representation \htbitmap{e02daf}")
- (text . "\blankline ")
- (text . "\newline \menuitemstyle{}\tab{2} \newline ")
- (text . "Grid points on x-axis \htbitmap{mx}: ")
- (text . "\tab{30} \menuitemstyle{}\tab{32} Grid points on y-axis ")
- (text . "\htbitmap{my}: ")
- (text . "\newline\tab{2} ")
- (bcStrings (6 11 mx PI))
- (text . "\tab{32} ")
- (bcStrings (6 9 my PI))
- (text . "\blankline ")
- (text . "\newline \menuitemstyle{}\tab{2} ")
- (text . "Over-estimate of \htbitmap{nx} of knots \lambda of the ")
- (text . "computed spline, {\it nxest}: \newline\tab{2} ")
- (bcStrings (6 15 nxest PI))
- (text . "\blankline ")
- (text . "\newline \menuitemstyle{}\tab{2} ")
- (text . "Over-estimate of \htbitmap{ny} of knots \mu of the computed ")
- (text . "spline, {\it nyest}: \newline\tab{2} ")
- (bcStrings (6 13 nyest PI))
- (text . "\blankline ")
- (text . "\newline \menuitemstyle{}\tab{2} \newline ")
- (text . "Smoothing factor {\it s}: ")
- (text . "\newline\tab{2} ")
- (bcStrings (6 "0.1" s F))
- (text . "\blankline ")
- (text . "\newline ")
- (text . "\menuitemstyle{} \tab{2} ")
- (text . "\newline \tab{2} ")
- (text . "Start value: ")
- (radioButtons start
- ("" " Cold Start - no values needed for {\it nx,ny,lamda,mu} or {\it iwrk}" cold)
- ("" " Warm Start - uses knots found in a previous call" warm))
- (text . "\blankline ")
- (text . "\newline ")
- (text . "\menuitemstyle{} \tab{2} ")
- (text . "\newline \tab{2} ")
- (text . "Ifail value: ")
- (radioButtons ifail
- ("" " -1, Print error messages" minusOne)
- ("" " 1, Suppress error messages" one)))
- htMakeDoneButton('"Continue", 'e02dcfSolve)
- htShowPage()
-
-e02dcfSolve htPage ==
- mx :=
- $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'mx)
- objValUnwrap htpLabelSpadValue(htPage, 'mx)
- my :=
- $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'my)
- objValUnwrap htpLabelSpadValue(htPage, 'my)
- nxest :=
- $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'nxest)
- objValUnwrap htpLabelSpadValue(htPage, 'nxest)
- nyest :=
- $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'nyest)
- objValUnwrap htpLabelSpadValue(htPage, 'nyest)
- wrklist := [my,nxest]
- wrkmax := APPLY ('MAX, wrklist)
- lwrk := 4*(mx + my) +11*(nxest + nyest) + nxest*my + wrkmax +54
- liwrk := 3 + mx + my + nxest + nyest
- s := htpLabelInputString(htPage,'s)
- initial := htpButtonValue(htPage,'start)
- start :=
- initial = 'cold => '1
- '2
- error := htpButtonValue(htPage,'ifail)
- ifail :=
- error = 'one => '1
- '-1
- ((mx = 11 and my = 9) and start = 1) =>
- e02dcfDefaultSolve (htPage,nxest,nyest,lwrk,liwrk,s,ifail)
- start = 1 => e02dcfColdSolve (htPage,mx,my,nxest,nyest,lwrk,liwrk,s,ifail)
- -- warm start not really possible from hyperdoc
- -- as inputing a workspace array of dimension 592 is asking too much
- -- user should use the command line, using the previous calculated
- -- parameters
- htInitPage('"E02DCF - Least-squares curve by bicubic splines with automatic knot placement, data on a rectangular grid",nil)
- htMakePage '(
- (domainConditions
- (isDomain PI (PositiveInteger)))
- (text . "\blankline ")
- (text . "{\center{\em Hyperdoc interface not available for warm starts.}}")
- (text . "\newline ")
- (text . "{\center{\em Please use the command line.}}"))
- htMakeDoneButton('"Continue",'e02dcf)
- htShowPage()
-
-
-
-e02dcfColdSolve(htPage,mx,my,nxest,nyest,lwrk,liwrk,s,ifail) ==
- xList :=
- "append"/[f(i) for i in 1..mx] where f(i) ==
- xnam := INTERN STRCONC ('"x",STRINGIMAGE i)
- [['bcStrings,[8, 0.0, xnam, 'F]]]
- yList :=
- "append"/[g(i) for i in 1..my] where g(i) ==
- ynam := INTERN STRCONC ('"g",STRINGIMAGE i)
- [['bcStrings,[8, 0.0, ynam, 'F]]]
- prefix:= ('"\blankline \menuitemstyle{}\tab{2} Values of {\it y(my)}: \newline ")
- yList := [['text,:prefix],:yList]
- fList :=
- "append"/[h(i) for i in 1..(mx*my)] where h(i) ==
- fnam := INTERN STRCONC ('"g",STRINGIMAGE i)
- [['bcStrings,[8, 0.0, fnam, 'F]]]
- prefix:=('"\blankline \menuitemstyle{} \tab{2} Values of {\it f(mx*my)}: \newline ")
- fList := [['text,:prefix],:fList]
- equationPart := [
- '(domainConditions
- (isDomain P (Polynomial $EmptyMode))
- (isDomain S (String))
- (isDomain F (Float))
- (isDomain PI (PositiveInteger))),
- :xList,:yList,:fList]
- page := htInitPage('"E02DCF - Least-squares curve by bicubic splines with automatic knot placement, data on a rectangular grid",nil)
- htSay '"\menuitemstyle{}\tab{2} Values of {\it x(mx)}: \newline "
- htMakePage equationPart
- htSay '"\blankline "
- htMakeDoneButton('"Continue",'e02dcfColdGen)
- htpSetProperty(page,'mx,mx)
- htpSetProperty(page,'my,my)
- htpSetProperty(page,'nxest,nxest)
- htpSetProperty(page,'nyest,nyest)
- htpSetProperty(page,'lwrk,lwrk)
- htpSetProperty(page,'liwrk,liwrk)
- htpSetProperty(page,'s,s)
- htpSetProperty(page,'ifail,ifail)
- htpSetProperty(page,'inputArea, htpInputAreaAlist htPage)
- htShowPage()
-
-
-e02dcfDefaultSolve (htPage,nxest,nyest,lwrk,liwrk,s,ifail) ==
- mx := 11
- my := 9
- page := htInitPage('"E02DCF - Least-squares curve by bicubic splines with automatic knot placement, data on a rectangular grid",nil)
- htMakePage '(
- (domainConditions
- (isDomain F (Float)))
- (text . "\newline ")
- (text . "\menuitemstyle{}\tab{2} Values of {\it x(mx)}:")
- (text . "\newline ")
- (bcStrings (8 "0" x1 F))
- (bcStrings (8 "0.5" x2 F))
- (bcStrings (8 "1" x3 F))
- (bcStrings (8 "1.5" x4 F))
- (bcStrings (8 "2" x5 F))
- (bcStrings (8 "2.5" x6 F))
- (bcStrings (8 "3" x7 F))
- (bcStrings (8 "3.5" x8 F))
- (bcStrings (8 "4" x9 F))
- (bcStrings (8 "4.5" x10 F))
- (bcStrings (8 "5" x11 F))
- (text . "\blankline ")
- (text . "\menuitemstyle{}\tab{2} Values of {\it y(my)}:")
- (text . "\newline ")
- (bcStrings (8 "0" y1 F))
- (bcStrings (8 "0.5" y2 F))
- (bcStrings (8 "1" y3 F))
- (bcStrings (8 "1.5" y4 F))
- (bcStrings (8 "2" y5 F))
- (bcStrings (8 "2.5" y6 F))
- (bcStrings (8 "3" y7 F))
- (bcStrings (8 "3.5" y8 F))
- (bcStrings (8 "4" y9 F))
- (text . "\blankline ")
- (text . "\menuitemstyle{}\tab{2} Values of {\it f(mx*my)}:")
- (text . "\newline ")
- (bcStrings (8 "1" f1 F))
- (bcStrings (8 "0.88758" f2 F))
- (bcStrings (8 "0.5403" f3 F))
- (bcStrings (8 "0.070737" f4 F))
- (bcStrings (8 "-0.41515" f5 F))
- (bcStrings (8 "-0.80114" f6 F))
- (bcStrings (8 "-0.97999" f7 F))
- (bcStrings (8 "-0.93446" f8 F))
- (bcStrings (8 "-0.65664" f9 F))
- (bcStrings (8 "1.5" f10 F))
- (bcStrings (8 "1.3564" f11 F))
- (bcStrings (8 "0.82045" f12 F))
- (bcStrings (8 "0.10611" f13 F))
- (bcStrings (8 "-0.62422" f14 F))
- (bcStrings (8 "-1.2317" f15 F))
- (bcStrings (8 "-1.485" f16 F))
- (bcStrings (8 "-1.3047" f17 F))
- (bcStrings (8 "-0.98547" f18 F))
- (bcStrings (8 "2.06" f19 F))
- (bcStrings (8 "1.7552" f20 F))
- (bcStrings (8 "1.0806" f21 F))
- (bcStrings (8 "0.15147" f22 F))
- (bcStrings (8 "-0.83229" f23 F))
- (bcStrings (8 "-1.6023" f24 F))
- (bcStrings (8 "-1.97" f25 F))
- (bcStrings (8 "-1.8729" f26 F))
- (bcStrings (8 "-1.4073" f27 F))
- (bcStrings (8 "2.57" f28 F))
- (bcStrings (8 "2.124" f29 F))
- (bcStrings (8 "1.3508" f30 F))
- (bcStrings (8 "0.17684" f31 F))
- (bcStrings (8 "-1.0404" f32 F))
- (bcStrings (8 "-2.0029" f33 F))
- (bcStrings (8 "-2.475" f34 F))
- (bcStrings (8 "-2.3511" f35 F))
- (bcStrings (8 "-1.6741" f36 F))
- (bcStrings (8 "3" f37 F))
- (bcStrings (8 "2.6427" f38 F))
- (bcStrings (8 "1.6309" f39 F))
- (bcStrings (8 "0.21221" f40 F))
- (bcStrings (8 "-1.2484" f41 F))
- (bcStrings (8 "-2.2034" f42 F))
- (bcStrings (8 "-2.97" f43 F))
- (bcStrings (8 "-2.8094" f44 F))
- (bcStrings (8 "-1.9809" f45 F))
- (bcStrings (8 "3.5" f46 F))
- (bcStrings (8 "3.1715" f47 F))
- (bcStrings (8 "1.8611" f48 F))
- (bcStrings (8 "0.24458" f49 F))
- (bcStrings (8 "-1.4565" f50 F))
- (bcStrings (8 "-2.864" f51 F))
- (bcStrings (8 "-3.265" f52 F))
- (bcStrings (8 "-3.2776" f53 F))
- (bcStrings (8 "-2.2878" f54 F))
- (bcStrings (8 "4.04" f55 F))
- (bcStrings (8 "3.5103" f56 F))
- (bcStrings (8 "2.0612" f57 F))
- (bcStrings (8 "0.28595" f58 F))
- (bcStrings (8 "-1.6946" f59 F))
- (bcStrings (8 "-3.2046" f60 F))
- (bcStrings (8 "-3.96" f61 F))
- (bcStrings (8 "-3.7958" f62 F))
- (bcStrings (8 "-2.6146" f63 F))
- (bcStrings (8 "4.5" f64 F))
- (bcStrings (8 "3.9391" f65 F))
- (bcStrings (8 "2.4314" f66 F))
- (bcStrings (8 "0.31632" f67 F))
- (bcStrings (8 "-1.8627" f68 F))
- (bcStrings (8 "-3.6351" f69 F))
- (bcStrings (8 "-4.455" f70 F))
- (bcStrings (8 "-4.2141" f71 F))
- (bcStrings (8 "-2.9314" f72 F))
- (bcStrings (8 "5.04" f73 F))
- (bcStrings (8 "4.3879" f74 F))
- (bcStrings (8 "2.7515" f75 F))
- (bcStrings (8 "0.35369" f76 F))
- (bcStrings (8 "-2.0707" f77 F))
- (bcStrings (8 "-4.0057" f78 F))
- (bcStrings (8 "-4.97" f79 F))
- (bcStrings (8 "-4.6823" f80 F))
- (bcStrings (8 "-3.2382" f81 F))
- (bcStrings (8 "5.505" f82 F))
- (bcStrings (8 "4.8367" f83 F))
- (bcStrings (8 "2.9717" f84 F))
- (bcStrings (8 "0.38505" f85 F))
- (bcStrings (8 "-2.2888" f86 F))
- (bcStrings (8 "-4.4033" f87 F))
- (bcStrings (8 "-5.445" f88 F))
- (bcStrings (8 "-5.1405" f89 F))
- (bcStrings (8 "-3.595" f90 F))
- (bcStrings (8 "6" f91 F))
- (bcStrings (8 "5.2755" f92 F))
- (bcStrings (8 "3.2418" f93 F))
- (bcStrings (8 "0.42442" f94 F))
- (bcStrings (8 "-2.4769" f95 F))
- (bcStrings (8 "-4.8169" f96 F))
- (bcStrings (8 "-5.93" f97 F))
- (bcStrings (8 "-5.6387" f98 F))
- (bcStrings (8 "-3.9319" f99 F)))
- htMakeDoneButton('"Continue",'e02dcfColdGen)
- htpSetProperty(page,'mx,mx)
- htpSetProperty(page,'my,my)
- htpSetProperty(page,'nxest,nxest)
- htpSetProperty(page,'nyest,nyest)
- htpSetProperty(page,'lwrk,lwrk)
- htpSetProperty(page,'liwrk,liwrk)
- htpSetProperty(page,'s,s)
- htpSetProperty(page,'ifail,ifail)
- htpSetProperty(page,'inputArea, htpInputAreaAlist htPage)
- htShowPage()
-
-e02dcfColdGen htPage ==
- mx := htpProperty(htPage,'mx)
- my := htpProperty(htPage,'my)
- nxest := htpProperty(htPage,'nxest)
- nyest := htpProperty(htPage,'nyest)
- lwrk := htpProperty(htPage,'lwrk)
- liwrk := htpProperty(htPage,'liwrk)
- s := htpProperty(htPage,'s)
- cold := '"c"
- ifail := htpProperty(htPage,'ifail)
- alist := htpInputAreaAlist htPage
- y := alist
- for i in 1..(mx*my) repeat
- end := STRCONC((first y).1," ")
- y := rest y
- fList := [end,:fList]
- fstring := bcwords2liststring fList
- for i in 1..my repeat
- mid := STRCONC ((first y).1," ")
- y := rest y
- ylist := [mid,:ylist]
- ystring := bcwords2liststring ylist
- while y repeat
- start := STRCONC ((first y).1," ")
- y := rest y
- xlist := [start,:xlist]
- xstring := bcwords2liststring xlist
- -- additional entries needed to get it running
- -- but as Start = c they are not used
- prefix := STRCONC('"e02dcf(_"",cold,"_",",STRINGIMAGE mx,", [",xstring,"],")
- prefix := STRCONC(prefix,STRINGIMAGE my,",[",ystring,"],[",fstring,"], ")
- prefix := STRCONC(prefix,STRINGIMAGE s,", ",STRINGIMAGE nxest,", ")
- prefix := STRCONC(prefix,STRINGIMAGE nyest,", ",STRINGIMAGE lwrk,", ")
- prefix := STRCONC(prefix,STRINGIMAGE liwrk,",0,new(1,", STRINGIMAGE nxest,",0.0)$MATRIX DFLOAT,")
- prefix := STRCONC(prefix,"0,new(1,", STRINGIMAGE nyest,",0.0)$MATRIX DFLOAT,")
- end := STRCONC("new(1,", STRINGIMAGE lwrk,",0.0)$MATRIX DFLOAT,[[0 for i in 1..")
- end := STRCONC(end,STRINGIMAGE liwrk,"]]::Matrix Integer,",STRINGIMAGE ifail,")")
- linkGen STRCONC(prefix,end)
-
-
-e02ddf() ==
- htInitPage('"E02DDF - Least-squares surface fit by bicubic splines with automatic knot placement, scattered data",nil)
- htMakePage '(
- (domainConditions
- (isDomain PI (PositiveInteger)))
- (text . "\windowlink{Manual Page}{manpageXXe02ddf} for this routine ")
- (text . "\newline ")
- (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|e02ddf| '|NagFittingPackage|)} for this routine")
- (text . "\newline \horizontalline ")
- (text . "\newline ")
- (text . "Determines a bicubic spline approximation to a set of scattered")
- (text . " points ( \htbitmap{xr},\htbitmap{yr}, ")
- (text . "\htbitmap{fr})")
- (text . "with weights \htbitmap{wr}, for r = 1,2,...,m. ")
- (text . "The knots \htbitmap{lamdai}, for i = 1,2,...,")
- (text . "\htbitmap{nx} and \htbitmap{mui}, for ")
- (text . "i = 1,2,...,\htbitmap{ny} are chosen by the routine ")
- (text . ", but a single parameter S must be specified to control the ")
- (text . "trade-off between closeness of fit and smoothness of fit. This ")
- (text . "affects the number of knots required by the spline, which is ")
- (text . "given in the B-spline representation \htbitmap{e02daf}")
- (text . "\newline \menuitemstyle{}\tab{2} \newline ")
- (text . "Number of data points {\it m}: ")
- (text . "\newline\tab{2} ")
- (bcStrings (6 30 m PI))
- (text . "\blankline ")
- (text . "\newline \menuitemstyle{}\tab{2} ")
- (text . "Over-estimate of \htbitmap{nx} of knots \lambda of the ")
- (text . "computed spline, {\it nxest}: \newline\tab{2} ")
- (bcStrings (6 14 nxest PI))
- (text . "\blankline ")
- (text . "\newline \menuitemstyle{}\tab{2} ")
- (text . "Over-estimate of \htbitmap{ny} of knots \mu of the computed ")
- (text . "spline, {\it nyest}: \newline\tab{2} ")
- (bcStrings (6 14 nyest PI))
- (text . "\blankline ")
- (text . "\newline \menuitemstyle{}\tab{2} \newline ")
- (text . "Smoothing factor {\it s}: ")
- (text . "\newline\tab{2} ")
- (bcStrings (6 "10" s F))
- (text . "\blankline ")
- (text . "\newline ")
- (text . "\menuitemstyle{} \tab{2} ")
- (text . "\newline \tab{2} ")
- (text . "Start value: ")
- (radioButtons start
- ("" " Cold Start - no values needed for {\it nx,ny,lamda,wrk,iwrk}" cold)
- ("" " Warm Start - uses knots found in a previous call" warm))
- (text . "\blankline ")
- (text . "\newline ")
- (text . "\menuitemstyle{} \tab{2} ")
- (text . "\newline \tab{2} ")
- (text . "Ifail value: ")
- (radioButtons ifail
- ("" " -1, Print error messages" minusOne)
- ("" " 1, Suppress error messages" one)))
- htMakeDoneButton('"Continue", 'e02ddfSolve)
- htShowPage()
-
-e02ddfSolve htPage ==
- m :=
- $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'm)
- objValUnwrap htpLabelSpadValue(htPage, 'm)
- nxest :=
- $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'nxest)
- objValUnwrap htpLabelSpadValue(htPage, 'nxest)
- nyest :=
- $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'nyest)
- objValUnwrap htpLabelSpadValue(htPage, 'nyest)
- u := nxest - 4
- v := nyest - 4
- wlist := [u,v]
- w := APPLY ('MAX, wlist)
- lwrk := (7*u*v + 25*w)*(w + 1) + 2*(u + v + 4*m) + 23*w + 56
- liwrk := m + 2*(nxest - 7)*(nyest - 7)
- s := htpLabelInputString(htPage,'s)
- initial := htpButtonValue(htPage,'start)
- start :=
- initial = 'cold => '1
- '2
- error := htpButtonValue(htPage,'ifail)
- ifail :=
- error = 'one => '1
- '-1
- (m = 30 and start = 1) => e02ddfDefaultSolve (htPage,nxest,nyest,lwrk,liwrk,s,ifail)
- start = 1 => e02ddfColdSolve (htPage,m,nxest,nyest,lwrk,liwrk,s,ifail)
- -- need to change as only wrk(1) is required
- labelList :=
- "append"/[f(i) for i in 1..m] where f(i) ==
- prefix := ('"\newline \tab{2} ")
- middle := ('"\tab{17} ")
- post := ('"\tab{32} ")
- end := ('"\tab{47} ")
- xnam := INTERN STRCONC ('"x",STRINGIMAGE i)
- ynam := INTERN STRCONC ('"y",STRINGIMAGE i)
- fnam := INTERN STRCONC ('"f",STRINGIMAGE i)
- wnam := INTERN STRCONC ('"w",STRINGIMAGE i)
- [['text,:prefix],['bcStrings,[8, 0.0, xnam, 'F]],
- ['text,:middle],['bcStrings,[8, 0.0, ynam, 'F]],
- ['text,:post],['bcStrings,[8, 0.0, fnam, 'F]],
- ['text,:end],['bcStrings,[8, 0.0, wnam, 'F]]]
- lamdaList :=
- "append"/[g(i) for i in 1..nxest] where g(i) ==
- lnam := INTERN STRCONC ('"l",STRINGIMAGE i)
- [['bcStrings,[8, 0.0, lnam, 'F]]]
- prefix := ('"\blankline \menuitemstyle{} \tab{2} Values of Lamda: \newline")
- lamdaList := [['text,:prefix],:lamdaList]
- muList :=
- "append"/[h(i) for i in 1..nyest] where h(i) ==
- mnam := INTERN STRCONC ('"m",STRINGIMAGE i)
- [['bcStrings,[8, 0.0, mnam, 'F]]]
- prefix := ('"\blankline \menuitemstyle{} \tab{2} Values of Mu: \newline")
- muList := [['text,:prefix],:muList]
- prefix := ('"\blankline \menuitemstyle{} \tab{2} Value of nx: \newline \tab{2}")
- nxList := [['text,:prefix],['bcStrings,[8, 10, 'nx, 'PI]]]
- prefix := ('"\blankline \menuitemstyle{} \tab{2} Value of ny: \newline \tab{2}")
- nyList := [['text,:prefix],['bcStrings,[8, 9, 'ny, 'PI]]]
- prefix := ('"\blankline \menuitemstyle{} \tab{2} Value of WRK(1): \newline \tab{2}")
- wList := [['text,:prefix],['bcStrings,[8, 0.0, 'wone, 'F]]]
- equationPart := [
- '(domainConditions
- (isDomain P (Polynomial $EmptyMode))
- (isDomain S (String))
- (isDomain F (Float))
- (isDomain PI (PositiveInteger))),
- :labelList,:lamdaList,:muList,:nxList,:nyList,:wList]
- page := htInitPage('"E02DDF - Least-squares surface fit by bicubic splines with automatic knot placement, scattered data",nil)
- htSay '"\menuitemstyle{}\tab{2} Values of \space{1} "
- htSay '"\htbitmap{xr}: \tab{15} \menuitemstyle{}\tab{17} "
- htSay '"Values of \space{1} \htbitmap{yr}: \tab{30}"
- htSay '"\menuitemstyle{}\tab{32} Values of \space{1} "
- htSay '"\htbitmap{fr}: \tab{45} \menuitemstyle{} "
- htSay '"\tab{47} Values of \htbitmap{wr}:"
- htMakePage equationPart
- htSay '"\blankline "
- htMakeDoneButton('"Continue",'e02ddfWarmGen)
- htpSetProperty(page,'m,m)
- htpSetProperty(page,'nxest,nxest)
- htpSetProperty(page,'nyest,nyest)
- htpSetProperty(page,'lwrk,lwrk)
- htpSetProperty(page,'liwrk,liwrk)
- htpSetProperty(page,'s,s)
- htpSetProperty(page,'ifail,ifail)
- htpSetProperty(page,'inputArea, htpInputAreaAlist htPage)
- htShowPage()
-
-
-
-
-e02ddfColdSolve(htPage,m,nxest,nyest,lwrk,liwrk,s,ifail) ==
- labelList :=
- "append"/[f(i) for i in 1..m] where f(i) ==
- prefix := ('"\newline \tab{2} ")
- middle := ('"\tab{17} ")
- post := ('"\tab{32} ")
- end := ('"\tab{47} ")
- xnam := INTERN STRCONC ('"x",STRINGIMAGE i)
- ynam := INTERN STRCONC ('"y",STRINGIMAGE i)
- fnam := INTERN STRCONC ('"f",STRINGIMAGE i)
- wnam := INTERN STRCONC ('"w",STRINGIMAGE i)
- [['text,:prefix],['bcStrings,[8, 0.0, xnam, 'F]],
- ['text,:middle],['bcStrings,[8, 0.0, ynam, 'F]],
- ['text,:post],['bcStrings,[8, 0.0, fnam, 'F]],
- ['text,:end],['bcStrings,[8, 0.0, wnam, 'F]]]
- equationPart := [
- '(domainConditions
- (isDomain P (Polynomial $EmptyMode))
- (isDomain S (String))
- (isDomain F (Float))
- (isDomain PI (PositiveInteger))),
- :labelList]
- page := htInitPage('"E02DDF - Least-squares surface fit by bicubic splines with automatic knot placement, scattered data",nil)
- htSay '"\menuitemstyle{}\tab{2} Values of \space{1} "
- htSay '"\htbitmap{xr}: \tab{15} \menuitemstyle{}\tab{17} "
- htSay '"Values of \space{1} \htbitmap{yr}: \tab{30}"
- htSay '"\menuitemstyle{}\tab{32} Values of \space{1} "
- htSay '"\htbitmap{fr}: \tab{44} \menuitemstyle{} "
- htSay '"\tab{46} Values of \htbitmap{wr}:"
- htMakePage equationPart
- htSay '"\blankline "
- htMakeDoneButton('"Continue",'e02ddfColdGen)
- htpSetProperty(page,'m,m)
- htpSetProperty(page,'nxest,nxest)
- htpSetProperty(page,'nyest,nyest)
- htpSetProperty(page,'lwrk,lwrk)
- htpSetProperty(page,'liwrk,liwrk)
- htpSetProperty(page,'s,s)
- htpSetProperty(page,'ifail,ifail)
- htpSetProperty(page,'inputArea, htpInputAreaAlist htPage)
- htShowPage()
-
-
-e02ddfDefaultSolve (htPage,nxest,nyest,lwrk,liwrk,s,ifail) ==
- m := 30
- page := htInitPage('"E02DDF - Least-squares surface fit by bicubic splines with automatic knot placement, scattered data",nil)
- htMakePage '(
- (domainConditions
- (isDomain F (Float)))
- (text . "\newline ")
- (text . "\menuitemstyle{}\tab{2} Values of \htbitmap{xr}:")
- (text . "\tab{15} \menuitemstyle{} \tab{17} Values of ")
- (text . "\htbitmap{yr}: \tab{30} \menuitemstyle{} \tab{32} ")
- (text . "Values of \htbitmap{fr}: \tab{44} \menuitemstyle{} ")
- (text . "\tab{46} Values of \htbitmap{wr}:")
- (text . "\newline \tab{2} ")
- (bcStrings (8 "11.16" x1 F))
- (text . "\tab{17}")
- (bcStrings (8 "1.24" y1 F))
- (text . "\tab{32}")
- (bcStrings (8 "22.15" f1 F))
- (text . "\tab{47}")
- (bcStrings (8 "1" w1 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "12.85" x2 F))
- (text . "\tab{17}")
- (bcStrings (8 "3.06" y2 F))
- (text . "\tab{32}")
- (bcStrings (8 "22.11" f2 F))
- (text . "\tab{47}")
- (bcStrings (8 "1" w2 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "19.85" x3 F))
- (text . "\tab{17}")
- (bcStrings (8 "10.72" y3 F))
- (text . "\tab{32}")
- (bcStrings (8 "7.97" f3 F))
- (text . "\tab{47}")
- (bcStrings (8 "1" w3 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "19.72" x4 F))
- (text . "\tab{17}")
- (bcStrings (8 "1.39" y4 F))
- (text . "\tab{32}")
- (bcStrings (8 "16.83" f4 F))
- (text . "\tab{47}")
- (bcStrings (8 "1" w4 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "15.91" x5 F))
- (text . "\tab{17}")
- (bcStrings (8 "7.74" y5 F))
- (text . "\tab{32}")
- (bcStrings (8 "15.30" f5 F))
- (text . "\tab{47}")
- (bcStrings (8 "1" w5 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "0" x6 F))
- (text . "\tab{17}")
- (bcStrings (8 "20" y6 F))
- (text . "\tab{32}")
- (bcStrings (8 "34.6" f6 F))
- (text . "\tab{47}")
- (bcStrings (8 "1" w6 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "20.87" x7 F))
- (text . "\tab{17}")
- (bcStrings (8 "20" y7 F))
- (text . "\tab{32}")
- (bcStrings (8 "5.74" f7 F))
- (text . "\tab{47}")
- (bcStrings (8 "1" w7 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "3.45" x8 F))
- (text . "\tab{17}")
- (bcStrings (8 "12.78" y8 F))
- (text . "\tab{32}")
- (bcStrings (8 "41.24" f8 F))
- (text . "\tab{47}")
- (bcStrings (8 "1" w8 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "14.26" x9 F))
- (text . "\tab{17}")
- (bcStrings (8 "17.87" y9 F))
- (text . "\tab{32}")
- (bcStrings (8 "10.74" f9 F))
- (text . "\tab{47}")
- (bcStrings (8 "1" w9 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "17.43" x10 F))
- (text . "\tab{17}")
- (bcStrings (8 "3.46" y10 F))
- (text . "\tab{32}")
- (bcStrings (8 "18.60" f10 F))
- (text . "\tab{47}")
- (bcStrings (8 "1" w10 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "22.8" x11 F))
- (text . "\tab{17}")
- (bcStrings (8 "12.39" y11 F))
- (text . "\tab{32}")
- (bcStrings (8 "5.47" f11 F))
- (text . "\tab{47}")
- (bcStrings (8 "1" w11 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "7.58" x12 F))
- (text . "\tab{17}")
- (bcStrings (8 "1.98" y12 F))
- (text . "\tab{32}")
- (bcStrings (8 "29.87" f12 F))
- (text . "\tab{47}")
- (bcStrings (8 "1" w12 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "25" x13 F))
- (text . "\tab{17}")
- (bcStrings (8 "11.87" y13 F))
- (text . "\tab{32}")
- (bcStrings (8 "4.4" f13 F))
- (text . "\tab{47}")
- (bcStrings (8 "1" w13 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "0" x14 F))
- (text . "\tab{17}")
- (bcStrings (8 "0" y14 F))
- (text . "\tab{32}")
- (bcStrings (8 "58.2" f14 F))
- (text . "\tab{47}")
- (bcStrings (8 "1" w14 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "9.66" x15 F))
- (text . "\tab{17}")
- (bcStrings (8 "20" y15 F))
- (text . "\tab{32}")
- (bcStrings (8 "4.73" f15 F))
- (text . "\tab{47}")
- (bcStrings (8 "1" w15 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "5.22" x16 F))
- (text . "\tab{17}")
- (bcStrings (8 "14.66" y16 F))
- (text . "\tab{32}")
- (bcStrings (8 "40.36" f16 F))
- (text . "\tab{47}")
- (bcStrings (8 "1" w16 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "17.25" x17 F))
- (text . "\tab{17}")
- (bcStrings (8 "19.57" y17 F))
- (text . "\tab{32}")
- (bcStrings (8 "6.43" f17 F))
- (text . "\tab{47}")
- (bcStrings (8 "1" w17 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "25" x18 F))
- (text . "\tab{17}")
- (bcStrings (8 "3.87" y18 F))
- (text . "\tab{32}")
- (bcStrings (8 "8.74" f18 F))
- (text . "\tab{47}")
- (bcStrings (8 "1" w18 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "12.13" x19 F))
- (text . "\tab{17}")
- (bcStrings (8 "10.79" y19 F))
- (text . "\tab{32}")
- (bcStrings (8 "13.71" f19 F))
- (text . "\tab{47}")
- (bcStrings (8 "1" w19 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "22.23" x20 F))
- (text . "\tab{17}")
- (bcStrings (8 "6.21" y20 F))
- (text . "\tab{32}")
- (bcStrings (8 "10.25" f20 F))
- (text . "\tab{47}")
- (bcStrings (8 "1" w20 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "11.52" x21 F))
- (text . "\tab{17}")
- (bcStrings (8 "8.53" y21 F))
- (text . "\tab{32}")
- (bcStrings (8 "15.74" f21 F))
- (text . "\tab{47}")
- (bcStrings (8 "1" w21 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "15.2" x22 F))
- (text . "\tab{17}")
- (bcStrings (8 "0" y22 F))
- (text . "\tab{32}")
- (bcStrings (8 "21.6" f22 F))
- (text . "\tab{47}")
- (bcStrings (8 "1" w22 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "7.54" x23 F))
- (text . "\tab{17}")
- (bcStrings (8 "10.69" y23 F))
- (text . "\tab{32}")
- (bcStrings (8 "19.31" f23 F))
- (text . "\tab{47}")
- (bcStrings (8 "1" w23 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "17.32" x24 F))
- (text . "\tab{17}")
- (bcStrings (8 "13.78" y24 F))
- (text . "\tab{32}")
- (bcStrings (8 "12.11" f24 F))
- (text . "\tab{47}")
- (bcStrings (8 "1" w24 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "2.14" x25 F))
- (text . "\tab{17}")
- (bcStrings (8 "15.03" y25 F))
- (text . "\tab{32}")
- (bcStrings (8 "53.1" f25 F))
- (text . "\tab{47}")
- (bcStrings (8 "1" w25 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "0.51" x26 F))
- (text . "\tab{17}")
- (bcStrings (8 "8.37" y26 F))
- (text . "\tab{32}")
- (bcStrings (8 "49.43" f26 F))
- (text . "\tab{47}")
- (bcStrings (8 "1" w26 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "22.69" x27 F))
- (text . "\tab{17}")
- (bcStrings (8 "19.63" y27 F))
- (text . "\tab{32}")
- (bcStrings (8 "3.25" f27 F))
- (text . "\tab{47}")
- (bcStrings (8 "1" w27 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "5.47" x28 F))
- (text . "\tab{17}")
- (bcStrings (8 "17.13" y28 F))
- (text . "\tab{32}")
- (bcStrings (8 "28.63" f28 F))
- (text . "\tab{47}")
- (bcStrings (8 "1" w28 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "21.67" x29 F))
- (text . "\tab{17}")
- (bcStrings (8 "14.36" y29 F))
- (text . "\tab{32}")
- (bcStrings (8 "5.52" f29 F))
- (text . "\tab{47}")
- (bcStrings (8 "1" w29 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "3.31" x30 F))
- (text . "\tab{17}")
- (bcStrings (8 "0.33" y30 F))
- (text . "\tab{32}")
- (bcStrings (8 "44.08" f30 F))
- (text . "\tab{47}")
- (bcStrings (8 "1" w30 F))
- (text . "\blankline"))
- htMakeDoneButton('"Continue",'e02ddfColdGen)
- htpSetProperty(page,'m,m)
- htpSetProperty(page,'nxest,nxest)
- htpSetProperty(page,'nyest,nyest)
- htpSetProperty(page,'lwrk,lwrk)
- htpSetProperty(page,'liwrk,liwrk)
- htpSetProperty(page,'s,s)
- htpSetProperty(page,'ifail,ifail)
- htpSetProperty(page,'inputArea, htpInputAreaAlist htPage)
- htShowPage()
-
-e02ddfColdGen htPage ==
- m := htpProperty(htPage,'m)
- nxest := htpProperty(htPage,'nxest)
- nyest := htpProperty(htPage,'nyest)
- lwrk := htpProperty(htPage,'lwrk)
- liwrk := htpProperty(htPage,'liwrk)
- s := htpProperty(htPage,'s)
- cold := '"c"
- ifail := htpProperty(htPage,'ifail)
- alist := htpInputAreaAlist htPage
- y := alist
- while y repeat
- end := STRCONC ((first y).1," ")
- y := rest y
- right := STRCONC ((first y).1," ")
- y := rest y
- mid := STRCONC ((first y).1," ")
- y := rest y
- left := STRCONC ((first y).1," ")
- y := rest y
- xlist := [left,:xlist]
- ylist := [mid,:ylist]
- flist := [right,:flist]
- wlist := [end,:wlist]
- xstring := bcwords2liststring xlist
- ystring := bcwords2liststring ylist
- fstring := bcwords2liststring flist
- wstring := bcwords2liststring wlist
- -- additional entries nx,ny,lamda,mu,wrk needed to get it running
- -- but they are just set to 0.0
- prefix := STRCONC('"e02ddf(_"",cold,"_",",STRINGIMAGE m,", [",xstring,"],[")
- prefix := STRCONC(prefix,ystring,"],[",fstring,"],[",wstring,"], ")
- prefix := STRCONC(prefix,STRINGIMAGE s,", ",STRINGIMAGE nxest,", ")
- prefix := STRCONC(prefix,STRINGIMAGE nyest,", ",STRINGIMAGE lwrk,", ")
- prefix := STRCONC(prefix,STRINGIMAGE liwrk,", 0,")
- prefix := STRCONC(prefix,"new(1,", STRINGIMAGE nxest,",0.0)$MATRIX DFLOAT,0,")
- prefix := STRCONC(prefix,"new(1,", STRINGIMAGE nyest,",0.0)$MATRIX DFLOAT,")
- prefix := STRCONC(prefix,"new(1,", STRINGIMAGE lwrk,",0.0)$MATRIX DFLOAT,")
--- prefix := STRCONC(prefix,"[[0.0 for i in 1..", STRINGIMAGE nxest,"]],0,")
--- prefix := STRCONC(prefix,"[[0.0 for i in 1..", STRINGIMAGE nyest,"]],")
--- prefix := STRCONC(prefix,"[[0.0 for i in 1..", STRINGIMAGE lwrk,"]],")
- prefix := STRCONC(prefix,STRINGIMAGE ifail,")")
- linkGen prefix
-
-e02ddfWarmGen htPage ==
- m := htpProperty(htPage,'m)
- nxest := htpProperty(htPage,'nxest)
- nyest := htpProperty(htPage,'nyest)
- lwrk := htpProperty(htPage,'lwrk)
- liwrk := htpProperty(htPage,'liwrk)
- s := htpProperty(htPage,'s)
- warm := '"w"
- ifail := htpProperty(htPage,'ifail)
- alist := htpInputAreaAlist htPage
- y := alist
- wrk := (first y).1
- y := rest y
- for i in 1..lwrk repeat
- wrkList := ['"0.0 ",:wrkList]
- wrkList := [wrk,:wrkList]
- wrkstring := bcwords2liststring wrkList
- ny := STRCONC((first y).1," ")
- y := rest y
- nx := STRCONC((first y).1," ")
- y := rest y
- for i in 1..nyest repeat
- mu := STRCONC ((first y).1, " ")
- y := rest y
- muList := [mu,:muList]
- mustring := bcwords2liststring muList
- for i in 1..nxest repeat
- lam := STRCONC ((first y).1, " ")
- y := rest y
- lamList := [lam,:lamList]
- lamstring := bcwords2liststring lamList
- while y repeat
- end := STRCONC ((first y).1," ")
- y := rest y
- right := STRCONC ((first y).1," ")
- y := rest y
- mid := STRCONC ((first y).1," ")
- y := rest y
- left := STRCONC ((first y).1," ")
- y := rest y
- xlist := [left,:xlist]
- ylist := [mid,:ylist]
- flist := [right,:flist]
- wlist := [end,:wlist]
- xstring := bcwords2liststring xlist
- ystring := bcwords2liststring ylist
- fstring := bcwords2liststring flist
- wstring := bcwords2liststring wlist
- -- additional entries nx,ny,lamda,mu,wrk needed to get it running
- -- but they are just set to 0.0
- prefix := STRCONC('"e02ddf(_"",warm,"_",",STRINGIMAGE m,", [",xstring,"],[")
- prefix := STRCONC(prefix,ystring,"],[",fstring,"],[",wstring,"], ")
- prefix := STRCONC(prefix,STRINGIMAGE s,", ",STRINGIMAGE nxest,", ")
- prefix := STRCONC(prefix,STRINGIMAGE nyest,", ",STRINGIMAGE lwrk,", ")
- prefix := STRCONC(prefix,STRINGIMAGE liwrk,", ",nx,",[",lamstring,"],",ny)
- prefix := STRCONC(prefix,",[",mustring,"],[",wrkstring,"],")
- prefix := STRCONC(prefix,STRINGIMAGE ifail,")")
- linkGen prefix
-
-e02zaf() ==
- htInitPage('"E02ZAF - Sort 2-D sata into panels for fitting bicubic splines",nil)
- htMakePage '(
- (domainConditions
- (isDomain PI (PositiveInteger)))
- (text . "\windowlink{Manual Page}{manpageXXe02zaf} for this routine ")
- (text . "\newline ")
- (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|e02zaf| '|NagFittingPackage|)} for this routine")
- (text . "\newline \horizontalline ")
- (text . "Sorts the set of points {\em (\htbitmap{xr},")
- (text . "\htbitmap{yr})} into panels defined by \space{1}")
- (text . "\htbitmap{px} -8 points \htbitmap{lamdai} ")
- (text . "on the x-axis and \space{1}\htbitmap{py}-8 points ")
- (text . "\htbitmap{muj} on the y axis. The points are ordered ")
- (text . "so that all points in a panel occur before data in succeeding ")
- (text . "panels. Within a panel, the points maintain their original ")
- (text . "order. ")
- (text . "\blankline ")
- (text . "\newline \menuitemstyle{}\tab{2} \newline ")
- (text . "Number of points to be sorted to be sorted {\it m}: ")
- (text . "\newline\tab{2} ")
- (bcStrings (6 10 m PI))
- (text . "\blankline ")
- (text . "\newline ")
- (text . "\menuitemstyle{}\tab{2}")
- (text . "\newline Intercepts + 8 on x axis {\em px}:")
- (text . "\tab{32} \menuitemstyle{}\tab{34}")
- (text . "Intercepts + 8 on y axis {\em py}:")
- (text . "\newline\tab{2} ")
- (bcStrings (6 9 px PI))
- (text . "\tab{34} ")
- (bcStrings (6 10 py PI))
- (text . "\blankline ")
- (text . "\newline \menuitemstyle{}\tab{2} \newline ")
- (text . "Dimension of point {\it npoint}: ")
- (text . "\newline\tab{2} ")
- (bcStrings (6 45 npoint PI))
- (text . "\blankline ")
- (text . "\newline ")
- (text . "\menuitemstyle{} \tab{2} ")
- (text . "\newline \tab{2} ")
- (text . "Ifail value: ")
- (radioButtons ifail
- ("" " -1, Print error messages" minusOne)
- ("" " 1, Suppress error messages" one)))
- htMakeDoneButton('"Continue", 'e02zafSolve)
- htShowPage()
-
-e02zafSolve htPage ==
- m :=
- $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'm)
- objValUnwrap htpLabelSpadValue(htPage, 'm)
- px :=
- $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'px)
- objValUnwrap htpLabelSpadValue(htPage, 'px)
- py :=
- $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'py)
- objValUnwrap htpLabelSpadValue(htPage, 'py)
- npoint :=
- $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'npoint)
- objValUnwrap htpLabelSpadValue(htPage, 'npoint)
- error := htpButtonValue(htPage,'ifail)
- ifail :=
- error = 'one => '1
- '-1
- ((m = '10 and px = '9) and py = '10) => e02zafDefaultSolve(htPage,npoint,ifail)
- labelList :=
- "append"/[fxy(i) for i in 1..m] where fxy(i) ==
- prefix := ('"\newline \tab{2} ")
- middle := ('"\tab{32} ")
- lnam := INTERN STRCONC ('"x",STRINGIMAGE i)
- cnam := INTERN STRCONC ('"y",STRINGIMAGE i)
- [['text,:prefix],['bcStrings,[8, 0.0, lnam, 'F]],
- ['text,:middle],['bcStrings,[8, 0.0, cnam, 'F]]]
- lamList :=
- "append"/[flam(i) for i in 5..(px-4)] where flam(i) ==
- lnam := INTERN STRCONC ('"l",STRINGIMAGE i)
- [['bcStrings,[8, 0.0, lnam, 'F]]]
- prefix := ('"\blankline \menuitemstyle{} \tab{2} {\it \lambda(5) to ")
- prefix := STRCONC(prefix,"\lambda(px-4)}: \newline \tab{2} ")
- lamList := [['text,:prefix],:lamList]
- muList :=
- "append"/[fmu(i) for i in 5..(py-4)] where fmu(i) ==
- mnam := INTERN STRCONC ('"m",STRINGIMAGE i)
- [['bcStrings,[8, 0.0, mnam, 'F]]]
- prefix := ('"\blankline \menuitemstyle{} \tab{2} {\it \mu(5) to \mu(py-4)}: ")
- prefix := STRCONC(prefix,"\newline \tab{2} ")
- muList := [['text,:prefix],:muList]
- equationPart := [
- '(domainConditions
- (isDomain P (Polynomial $EmptyMode))
- (isDomain S (String))
- (isDomain F (Float))
- (isDomain PI (PositiveInteger))),
- :labelList,:lamList,:muList]
- page := htInitPage('"E02ZAF - Sort 2-D sata into panels for fitting bicubic splines",nil)
- htSay '"\menuitemstyle{}\tab{2} {\it x(m)}: "
- htSay '"\tab{30} \menuitemstyle{}\tab{32} {\it y(m)}: "
- htMakePage equationPart
- htSay '"\blankline "
- htMakeDoneButton('"Continue",'e02zafGen)
- htpSetProperty(page,'m,m)
- htpSetProperty(page,'px,px)
- htpSetProperty(page,'py,py)
- htpSetProperty(page,'npoint,npoint)
- htpSetProperty(page,'ifail,ifail)
- htpSetProperty(page,'inputArea, htpInputAreaAlist htPage)
- htShowPage()
-
-
-e02zafDefaultSolve (htPage,npoint,ifail) ==
- m := '10
- px := '9
- py := '10
- page := htInitPage('"E02ZAF - Sort 2-D sata into panels for fitting bicubic splines",nil)
- htMakePage '(
- (domainConditions
- (isDomain F (Float)))
- (text . "\newline ")
- (text . "\menuitemstyle{}\tab{2} {\it x(m)}:")
- (text . "\tab{30} \menuitemstyle{} \tab{32} {\it y(m)}:")
- (text . "\newline \tab{2} ")
- (bcStrings (8 "0.00" x1 F))
- (text . "\tab{32}")
- (bcStrings (8 "0.77" y1 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "0.70" x2 F))
- (text . "\tab{32}")
- (bcStrings (8 "1.06" y2 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "1.44" x3 F))
- (text . "\tab{32}")
- (bcStrings (8 "0.33" y3 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "0.21" x4 F))
- (text . "\tab{32}")
- (bcStrings (8 "0.44" y4 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "1.01" x5 F))
- (text . "\tab{32}")
- (bcStrings (8 "0.50" y5 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "1.84" x6 F))
- (text . "\tab{32}")
- (bcStrings (8 "0.02" y6 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "0.71" x7 F))
- (text . "\tab{32}")
- (bcStrings (8 "1.95" y7 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "1.00" x8 F))
- (text . "\tab{32}")
- (bcStrings (8 "1.20" y8 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "0.54" x9 F))
- (text . "\tab{32}")
- (bcStrings (8 "0.04" y9 F))
- (text . "\newline \tab{2} ")
- (bcStrings (8 "1.531" x10 F))
- (text . "\tab{32}")
- (bcStrings (8 "0.18" y10 F))
- (text . "\blankline ")
- (text . "\menuitemstyle{}\tab{2} {\it \lambda(5) to \lambda(px-4)}:")
- (text . "\newline \tab{2}")
- (bcStrings (8 "1.00" l5 F))
- (text . "\blankline ")
- (text . "\menuitemstyle{}\tab{2} {\it \mu(5) to \mu(py-4)}:")
- (text . "\newline \tab{2}")
- (bcStrings (8 "0.80" mu5 F))
- (bcStrings (8 "1.20" mu6 F))
- (text . "\blankline "))
- htMakeDoneButton('"Continue",'e02zafGen)
- htpSetProperty(page,'m,m)
- htpSetProperty(page,'px,px)
- htpSetProperty(page,'py,py)
- htpSetProperty(page,'npoint,npoint)
- htpSetProperty(page,'ifail,ifail)
- htpSetProperty(page,'inputArea, htpInputAreaAlist htPage)
- htShowPage()
-
-e02zafGen htPage ==
- m := htpProperty(htPage,'m)
- px := htpProperty(htPage,'px)
- py := htpProperty(htPage,'py)
- npoint := htpProperty(htPage,'npoint)
- ifail := htpProperty(htPage,'ifail)
- alist := htpInputAreaAlist htPage
- y := alist
- nadres := (px-7)*(py-7)
- -- mu
- for i in 1..4 repeat
- muList := ['"0 ",:muList]
- for i in 5..(py-4) repeat
- right := STRCONC ((first y).1," ")
- y := rest y
- muList := [right,:muList]
- for i in (py-3)..py repeat
- muList := ['"0 ",:muList]
- mustring := bcwords2liststring muList
- -- lamda
- for i in 1..4 repeat
- lamList := ['"0 ",:lamList]
- for i in 5..(px-4) repeat
- right := STRCONC ((first y).1," ")
- y := rest y
- lamList := [right,:lamList]
- for i in (px-3)..px repeat
- lamList := ['"0 ",:lamList]
- lamstring := bcwords2liststring lamList
- -- x & y
- while y repeat
- right := STRCONC ((first y).1," ")
- y := rest y
- left := STRCONC ((first y).1," ")
- y := rest y
- xlist := [left,:xlist]
- ylist := [right,:ylist]
- xstring := bcwords2liststring xlist
- ystring := bcwords2liststring ylist
- prefix := STRCONC('"e02zaf(",STRINGIMAGE px,", ",STRINGIMAGE py,",[")
- prefix := STRCONC(prefix,lamstring,"],[",mustring,"], ",STRINGIMAGE m,", [")
- prefix := STRCONC(prefix,xstring,"],[",ystring,"], ",STRINGIMAGE npoint,", ")
- prefix := STRCONC(prefix,STRINGIMAGE nadres,", ",STRINGIMAGE ifail,")")
- linkGen prefix
-
-
-