replacement rules in packages
- To: mathgroup@smc.vnet.net
- Subject: [mg11235] replacement rules in packages
- From: Silvia Heubach <silvi@cinenet.net>
- Date: Mon, 2 Mar 1998 23:11:29 -0500
- Organization: Cine Communications,Internet Access,Los Angeles;310-301-4500
My problem lies with replacement rules in packages. I have created
functions that use replacement rules both to utilize option arguments
as well as to get parameter values from built-in functions that have
answers in the form {a -> 20, b -> 30}. If I test my function in a
plain notebook, all is fine. If I make it a package following all the
info I found in Maeder, Tam, and others, it does not work. This has
happened twice to me recently, and the problem seems to lie with the
repalcement rules in the package. I have attached three files:
sinefit2.nb - the function in a notebook, where it works fine TrigFit.m
- the package version
trial.nb - a notebook to check the package - lots of error messages
I am at the end of my wits - does anybody know how to fix this problem?
Please email me at silvi@cinenet.net or if you use reply, make sure to
take out the nospam.
Thanks a lot
Silvia
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--------------1199E6C87D7C1FBA8494D188 Content-Type: text/plain;
charset="us-ascii"; x-mac-type="54455854"; x-mac-creator="4F4D4547";
name="TrigFit.m" Content-Description: Mathematica 3.0 Document
BeginPackage["TrigFit`"]
Needs["Statistics`NonlinearFit`"]
SineFit::usage =
"SineFit[ls,amplitude,period,horizshift,vertshift,opts] fits
the data given in ls as pairs of values to a sine function of the
form a*Sin(b x -c) + d. The parameters for the function are amplitude
(>0), period (>0), hozizontal shift and vertical
shift as estimated from the data. The first entry in ls may consist
of the names for the variables.The function will return a graph of
the data together with the fitted function. Optional arguments are
plot ranges for input and output values in the usual form:
xplot -> {xmin,xmax},yplot ->{ymin,ymax}. Either one or both
may be given. The default values displays the function in the
range of the data"
Unprotect[SineFit]
Options[SineFit] = {xplot -> {minx,maxx},yplot -> {miny,maxy}}
Begin["`Private`"]
SineFit[ls_List,amplitude_?Positive,period_?Positive,horizshift_,vertshift_,
opts___?OptionQ]:=
Module[{A = ls,p1,p2,minx,maxx,xvals, xrange,
miny,maxy,yvals, yrange,
xlabel = " ", ylabel = " ", fitfun,
bstart = 2 Pi/period,
cstart = 2 Pi*horizshift/period,
dstart = vertshift, ampstart = amplitude, model,xr,yr},
Off[General::spell1];
Off[General::spell];
(* check whether names in first row *)
If[NumberQ[N[ls[[1,1]]]]==False,
xlabel = A[[1,1]];
ylabel = A[[1,2]];
A = Rest[ls]];
(* Check on proper values for ls and period *)
If[ Length[A]<2,
Print[
"There are not enough points to determine the function
uniquely"], (*else*)
(* compute range for output *)
xvals = Transpose[A][[1]];
xrange = Max[xvals]- Min[xvals];
minx =Min[xvals]-.1 xrange;
maxx = Max[xvals]+.1 xrange;
yvals = Transpose[A][[2]];
yrange = Max[yvals]- Min[yvals];
miny =Min[yvals]-.1 yrange;
maxy = Max[yvals]+.1yrange;
Print[Options[SineFit]];
{xr,yr} = {xplot,yplot} /. {opts} /. Options[SineFit];
Print[{xr,yr}];
(* actual curve fit *)
Off[NonlinearFit::lmpnocon];
Clear[xx];
model = amp Sin[b xx - c] +d;
pars = BestFitParameters /. NonlinearRegress[A,model,xx,
{{amp,ampstart},{b,bstart},{c,cstart},{d,dstart}},
RegressionReport ->BestFitParameters];
Do[pars[[i,2]]=N[pars[[i,2]],2],{i,1,4}];
Which[pars[[1,2]]==1.,
If[pars[[2,2]] == 1.,
model = Sin[xx-c]+d,
model = Sin[b xx -c]+d],
pars[[1,2]]!= 1.,
If[pars[[2,2]] == 1.,
model = amp Sin[xx-c]+d],
True,model = amp Sin[b xx - c]+d];
model = model /. Chop[pars];
sifit[x_]:=model/.{xx->x};
(* display of data and function *)
fitfun = ToString[NumberForm[sifit[x],{10,2}]];
p1=ListPlot[A,PlotStyle ->PointSize[0.015],
DisplayFunction ->Identity];
p2 =
Plot[Evaluate[sifit[x]],{x,xr[[1]],xr[[2]]},
AxesOrigin -> {xr[[1]],yr[[1]]},
AxesLabel ->{xlabel,ylabel},
PlotLabel -> StringJoin["Fitted Function: ",fitfun],
DisplayFunction -> Identity];
Show[p2,p1, PlotRange ->{ xr,yr},
DisplayFunction -> $DisplayFunction]]
]
End[]
Protect[SineFit]
EndPackage[]
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(***********************************************************************
Mathematica-Compatible Notebook
This notebook can be used on any computer system with Mathematica 3.0,
MathReader 3.0, or any compatible application. The data for the
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Module[{A\ = \ ls, p1, p2, minx, maxx, xvals, \ xrange, \n\ \ \
miny,
maxy, yvals, \ yrange, \n\ \ \ xlabel\ = \ "\< \>", \
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A\ = \ Rest[ls]]; \n\
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(*\ compute\ range\ for\ output\ *) \n\t\ \n\ \ \ \ \ \ \ \ \
\
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\
minx\ = Min[xvals] - .1\ xrange; \n\ \ \ \ \ \ \ \ \ \
maxx\ = \ Max[xvals] + .1\ xrange; \t\n\t\t\t\t\t\n
\ \ \ \ \ \ \ \ \ \ yvals\ = \ \(Transpose[A]\)[\([2]\)]; \n
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\n
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\n\t\t\t\t
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\t\t\t{xr, yr}\ = \
\({xplot, yplot}\ /. \ {opts}\)\ /. \ Options[SineFit];
\n\t\t\t
Print[{xr, yr}]; \n\t\t\t\t\n\ (*\ actual\ curve\ fit\ *) \ \
\ \n
\ \ \tOff[NonlinearFit::lmpnocon]; \n\ \ \ \ \ Clear[xx]; \n\
\ \ \
\n\t\t\tmodel\ = \ amp\ Sin[b\ xx\ - \ c]\ + d; \n\t\t
pars\ = \
BestFitParameters\ /. \
NonlinearRegress[A, model, xx, \n
\t\t\t\t\t\t{{amp, ampstart}, {b, bstart}, {c, cstart},
{d,
dstart}}, RegressionReport\ -> BestFitParameters];
\n
\t\t\tDo[pars[\([i, 2]\)] = N[pars[\([i, 2]\)], 2], {i, 1,
4}]; \n
\t\t\t\n\t\t\t
Which[pars[\([1, 2]\)] == 1., \n\t\t\t\t\t\t\t\t\t
If[pars[\([2, 2]\)]\ == \ 1.,
\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t
model\ = \ Sin[xx - c] + d,
\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t
model\ = \ Sin[b\ xx\ - c] + d], \n\t\ \ \ \ \ \ \ \ \ \
\ \
pars[\([1, 2]\)] != \ 1., \n\t\t\t\t\t\t\t\t\t
If[pars[\([2, 2]\)]\ == \ 1.,
\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t
model\ = \ amp\ Sin[xx - c] + d], \n\t\t\t\t\t\tTrue,
model\ = \ amp\ Sin[b\ xx\ - \ c] + d]; \n\t\t
model\ = \ model\ /. \ Chop[pars]; \n\ \ \ \ \
sifit[x_] := model /. {xx -> x}; \n\t\t\t\n\
(*\ \ display\ of\ data\ and\ function\ *) \n\t\n\t\t\t
fitfun\ = \ ToString[NumberForm[sifit[x], {10, 2}]]; \n\ \ \
\ \
p1 = ListPlot[A, PlotStyle\ -> PointSize[0.015], \n
\ \ \ \ \ \ \ \ \ \ \ \ \ DisplayFunction\ -> Identity];
\n
\ \ \ \ \
p2\ = \ Plot[Evaluate[sifit[x]], {x, xr[\([1]\)],
xr[\([2]\)]},
AxesOrigin\ -> \ {xr[\([1]\)], yr[\([1]\)]}, \n\ \ \ \ \
\
AxesLabel\ -> {xlabel, ylabel},
PlotLabel\ -> \ StringJoin["\<Fitted Function: \>",
fitfun],
\ \ DisplayFunction\ -> \ Identity]; \n\ \ \ \ \
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