diff options
author | Norbert Preining <norbert@preining.info> | 2019-09-02 13:46:59 +0900 |
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committer | Norbert Preining <norbert@preining.info> | 2019-09-02 13:46:59 +0900 |
commit | e0c6872cf40896c7be36b11dcc744620f10adf1d (patch) | |
tree | 60335e10d2f4354b0674ec22d7b53f0f8abee672 /graphics/ketcindy/ketcindyfolder/scripts/ketlib/ketpiccurrent.r |
Initial commit
Diffstat (limited to 'graphics/ketcindy/ketcindyfolder/scripts/ketlib/ketpiccurrent.r')
-rwxr-xr-x | graphics/ketcindy/ketcindyfolder/scripts/ketlib/ketpiccurrent.r | 14960 |
1 files changed, 14960 insertions, 0 deletions
diff --git a/graphics/ketcindy/ketcindyfolder/scripts/ketlib/ketpiccurrent.r b/graphics/ketcindy/ketcindyfolder/scripts/ketlib/ketpiccurrent.r new file mode 100755 index 0000000000..be7bba6346 --- /dev/null +++ b/graphics/ketcindy/ketcindyfolder/scripts/ketlib/ketpiccurrent.r @@ -0,0 +1,14960 @@ +# Copyright (C) 2014 Setsuo Takato, KETCindy Japan project team +# +#This program is free software: you can redistribute it and/or modify +# it under the terms of the GNU General Public License as published by +# the Free Software Foundation; either version 3 of the License, or +# (at your option) any later version. +# +# This program is distributed in the hope that it will be useful, +# but WITHOUT ANY WARRANTY; without even the implied warranty of +# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +# GNU General Public License for more details. +# +# You should have received a copy of the GNU General Public License +# along with this program. If not, see <http://www.gnu.org/licenses/> + + +######################################### + +ThisVersion<- "KeTpic for R v5_2_4(20190511)" + +print(ThisVersion) + +# 20190511 +# Implicitplot changed (Eps=> 10^(-6)) +# 20190508 +# Implicitplot debugged ( bisection method employed ) +# 20190409 +# Plotdata debugged ( Exclution at left side) +# 20190408 +# Projpara debugged ( for a single point ) +# 20190405 +# Drwpt changed(Incolor,Same) +# Makecurves changed(Drwpt) +# 20190322 +# Plotdata debugged (in the case fo Exc) +# 20190127 +# Mvprod added +# 20181231 +# Drwpt debugged/changed ( grep removed, N=8 set ) +# 20181230 +# Drwpt changed ( Same, Incolor ) +# 20181128 +# Objthicksurf debugged +# 20181031 +# space before # removed +# 20181024 +# Wireparadata debugged ( for DuL(DvL)=c(..) ) +# Nohiddenpara2 debugged (for SeL=Null ) +# 20181020 +# Setscaling changed ( Setscaling(scalex,scaley) supported ) +# 20181019 +# Arrowhead changed(debugged) ( for basic1.cs ) +# 20181017 +# Drwxy debugged (Doscaling) +# Arrowhead debugged (Unscaling removed) +# Paramplot debugged (Assign(fun,var,"t")) +# 20181015 +# Listplot debugged ( Unscaling implemented ) +# 20180929 +# Paramplot Plotdata, Spacecurve , Implicitplot changed +# ( Dt,dx not divided by N) +# Shade changed (Kyoukai => Joincrvs) +# 20180928 +# Paramplot changed ( case of stationary point) +# 20180901 +# Objcurve debugged ( Assign rewritten ) +# 20180820,21 +# Drwxy changed ( optional arguments added ) +# Setax changed (ARROWSIZE removed ) +# 20180812 +# Assign debugged ( case nchar(vname)>1) +# 20180808 +# Scalept3pt changed (ratio) +# 20180807 +# Reflect3pt,Reflect3data,Scale3pt,Scale3data added +# 20180717 +# Hatchdata debugged (width option) +# Enclosing debugged ( for closed curve ) +# 20180713 +# Enclosing2 debugged (for Lineplot: distance of pts added) +# 20180711 +# Enclosing2 debugged (length => Length) +# 20180707 +# Enclosing2 debugged (epspara) +# 20180706 +# Enclosing2 debugged (crv => c) +# Hatchdata changed ( Interval > *2 ) +# 20180621 +# Kyoukai debugged (1st point converted to matrix, length=>Length) +# 20180615 +# Assign changed (Replace function added) +# 20180603 +# Setcolor debugged (length(Iro)) +# Scaledata,Reflectdata,Rotatedata,Translatedata changed ( for point list) +# 20180602 +# Setcolor changed (rgb supported) +# 20180523 +# Mkskeletondata debugged +# 20180517 +# Sfbdparadata debugged ( tmp2[]=>tmp[2]) +# 20180511 +# Arrowhead,Arrowheaddata debugged ( for closed curve) +# 20180510 +# Plotdata,Paramplot changed ( Assign added for KeTCindy ) +# Texsetctr debugged (grep, fixed=T) +# Anglemark debugged ( for PB,PA,angle) +# 20180509 +# Crvonsfparadata renamed to Crv2onsfparadata +# Makecurves debugged ( Looprange used ) +# 20180506 +# Anglemark changed ( PB,PA,angle) supported +# 20180501 +# Wireparadata changed and debugged ( is.numeric => length==1 ) +# 20180402 +# Implicitplot largely changed +# 20180327 +# Kyoukai debugged +# 20180317 +# IntersectcurvesPp changed and debugged +# Intersectpartseg changed (Eps00 ) +# Collectsameseg added, Collectnear commented out +# 20180306 +# PthiddenQ,Meetpoints,Sfcutparadata changed (to avoid duplications ) +# Sfbdparadata changed ( for near points in Implicitdata ) +# Envelopedata, Evlpfun added +# 20180305 +# (for surface drwaings ) Eps => Eps1 +# 2018.02.27 +# Nohiddenpara2,Crvsfparadara debugged (Eps=>Eps0) +# 2018.02.26 +# Sfcutparadata changed +# Partcrv3 debugged +# Projcurve rewritten +# Nohiddenparadata debugged +# PthiddenQ debugged +# 2018.02.24 +# Sfcutdata added ( for functions ) +# Meetpoints debugged (case Norm(PtB-PtA)<Eps0) +# 2018.02.23 +# Makevaltable2 added ( for functions ) +# 2018.02.23 +# Crvonsfparadata,Crv3onsfparadata added +# Wireparadata added +# 2018.02.22 +# PthiddenQ,Nohiddenpara2 changed (Eps2) +# 2018.02.21 +# PthiddenQ,Meetpoints debugged +# Crvsfparadata debugged (OTHERPARTITION) +# Partitionseg debugged (for non-list) and changed (Ns=0) +# Intersectcrvsf added +# 2018.02.19 +# Groupnearpt added +# Collectnear debugged +# Meetpoints,PthiddenQ debugged and changed (Groupnearpt used ) +# Parapt changed (for point list ) +# Partitionseg changed (remove close value ) +# Fullformfunc changed (Initialization of ADDPOINT) +# Addpoints added +# 2018.02.18 +# Projpara debugged ( for empty data, Mix replace ) +# WriteOutData debugged (for emply data ) +# Sfbdparadata,Cuspparadata debugged +# Meetpoints replaced +# 2018.02.17 +# PthiddenQ replaced +# 2018.02.15 +# Cancoordpara debugged (X=-... ) +# 2018.02.14 +# Paramoncrv,Pointoncrv renamed to ...curve +# 2018.02.12 +# Nohiddenpara2 debugged ( CUSPPT should be a list ) +# Dropnumlistcrv changed (Eps) +# 2018.02.11 +# Paramocrv debugged ( case N=Length(PtL) ) +# Sfbdparadata, Borderparadata, Makexybdy, Partitionseg, +# Evlptablepara, Fullformfunc, Dropnumlistcrv, Cuspsplitpara, +# PthiddenQ, Nohiddenpara2 added +# Crvsfparadata, Meetpoints, Clipdomain added +# 2018.02.10 +# Partcrv3 debugged +# 2018.02.09 +# Ptstart,Ptend changed ( for the case fig is empty) +# Norm changed (Dotprod used ) +# 2018.02.07 +# Collectnear debugged (Looprange ) +# Intersectcurves debugged (sum) +# 2018.02.06 +# Kukeiiwake debugged ( ParamonCurve -> Paramoncrv ) +# 2018.02.05 +# Dotprod changed ( crossprod not used ) +# Intersectpartseg changed ( case of length of result =1) +# 2018.02.04 +# Diff added ( func, withvar, (varnamevalue1,... )) +# Funvalue added ( for an expression ) +# 2018.02.02 +# Enclosing2 changed ( for distant curves, startpt option removed ) +# 2018.02.01 +# Intersectline,Intersectseg,...,Intersectcuves added +# Quicksort added +# Enclosing2 added (incomplete) +# 2018.01.29 +# Length added +# 2017.12.24 +# Objpolyhedron added +# 2017.12.23 +# Objsymb, symb3data added +# Objrecs, Objpolygon debugged +# Objthicksurf added +# 2017.12.22 +# Openobj,Closeobj,Writeobjpoint,Printobjstr,Objname,Objsurf added +# Crossprod added +# Objjoin, Objcurve, Objrecs, Objpolygon, Objsymb added +# Spacecurve debugged +# 2017.12.17 +# Setunitlen debugged ( MEMORI ) +# 2017.12.13 +# ReadOutData debugged +# 2017.12.11 +# Enclosing debugged ( appendrow -> Appendrow ) +# 2017.11.29 +# Anglemark, Arrowhead, Ovaldata debugged ( Circldeta included ) +# 2017.11.27 +# Anglemark changed ( Scilab 16.12.29) +# Plotdata,Paramplot,Spacecurve changed ( Scilab 16.12.13) +# Enclosing changed ( Scilab 16.10.09) +# Arrowhead,Arrowline changed ( Scilab 15.06.11) +# Definecolor added ( Scilab 15.05.04) +# 2017.11.26 +# Exprrot, Letterrot debugged ( `) +# 2017.11.24 +# Deqplot debugged (Looprange) +# 2017.11.20 +# InWindow debugged (for length=1) +# 2017.10.28 +# Openfile changed (Creator) +# 2017.10.23 +# ReadOutData greatly changed +# 2017.10.11 +# Drwpt debugged (Flattenlist ) +# 2017.10.08 +# Bezier debugged ( Num ) +# 2017.10.07 +# ReadOutData debugged ( for null data ) +# 2017.10.06 +# Deqdata, Deqplot added +# Connectseg remade(bug) +# 2017.09.30 +# Bezierpt, Bezier added +# 2017.09.29 +# Ptcrv debugged +# 2017.09.28 +# Openfile changed +# 2017.09.24 +# Circledata debugged +# Kyoukai changed (Eps) +# Shade updated +# 2017.09.22 +# Setcolor changed +# Plotdata,Paramplot,Spacecurve changed (N-1 -> N) +# 2017.09.21 +# Shade changed (Sci 17.01.09) +# 2017.09.17 +# Ovaldata,Assignadd changed +# Dist added +# Cicledata changed +# Bowdata debugged (Circledata,etc) + +# 2015.11.05 +# WriteOutData changed + +# 2015.10.29 +# WriteOutData changed ( endmark //// ) + +# 2015.10.24 +# ReadOutData changed ( in case of listlength=1 ) + +# 2014.12.23 +# ReadOutData added + +# 2014.12.17 +# WriteOutData added + +# 2014.0905 +# Unscaling debugged MARKLENI => MARKLEN +# 2014.03.31 +# PhHiddenData added +# 2014.03.30 +# Facesdata changed ( for Hiddendata ) +# 2014.03.23 +# MARKLEN separated, Rotate3data debugged + +# 2013.12.19 +# Openfile, Closefile, Bowname, Bownamerot + +# 2013.11.13 +# Arrowhead, Arrowheaddata + +# 2013.08.07 +# Cancoordpara added + +# 2013.08.07 +# Integrate added + +# 2013.05.20 +# Openfile changed + +# 2013.05.03 +# Tabledata, Pointdata changed +# Dividetable, Partframe added + +# 2013.02.10 +# Ketinit added + +# 2012.01.07 +# Arrowline, Arrowhead ( Cut implemented ) + +# 2011.12.18 +# Framedata ( compliant for list ) + +# 2011.12.12 +# Skeletonparadata... ( Flattellist used) + +# 2011.11.27 +# drwboxframe + +# 2011.11.07 +# metacommands added + +# 2011.11.02 +# Joingraphics ( for list structure ) + +# 2011.08.24 +# Setcolor ( c(1,0,0,0.5) etc ) +# Rotate3data ( Point is available ) + +# 2011.07.19 +# Drwline, Letter, Expr +# Drwboxplot( etc ) min,max => outliners +# Drwline ( unfinished in the case of "integer" ) + +# 2011.06.25 +# joincrvs debugged + +# synchro with ketpict2e + +# 2011.06.01 +# Bowdata debugged + +#2011.05.28 +# Ratiocmyk, Setcolor ( new ) + +#2011.04.28 +# Htickmark, Vtickmark debugged + +#2011.03.08 +# Drwboxframe debugged +# Putrow, Putrowexpr debugged (Dpos ) + +#2011.03.02 +# Tabledata ( index of hline ), PutcoL, PutcoLexpr ( "r",...) debugged +# Texcom changed ( // => backslash ) + +#2011.01.07 +# Dividegraphics, Splinedat are changed significantly +# Readtextdata is changed + +#2011.01.04 +# Derivative, Integrate are added + +#2010.12.07 +# Translatedata, Scaledata, Reflectdata changed ( efficient for vector ) +# Rotatedata changed ( deg : logical ) +# HIstplotdata, Drwhistplot ( type => freq , fpplot (added) ) + +# 2010.12.04 +# WindispT changed ( tickmark ) +# Lineplot changed ( mag=> length ) +# Plotdata debugged ( 'E=fun', 'D=') +# Enclosing changed (return PD) + +# 2010.12.02 +# WindispT changed +# Makecurves debugged + +# 2010.11.27 +# Pointdata changed ( efficient for matrix and data.frame ) +# WindispT +# Setwindow ( decide from data ) +# Assign debugged ( strsplit => gsub(fixed=T)) + +# 2010.11.20 +# Flattenlist, WindispT +# Splinedata changed( efficient for data.frame ) + +#2010.08.19 ( Maybe not finished ) +# Stripblanks +# Fullformfunc, Sf3data + +#2010.08.17 +# Phparadata, Phpersdata, Phspersdata, Phsparadata +# Facesdata, MakeveLfaceL, Menkakusi2 +# Rotate3data +# Skeletonpersdata, Skeletonpers3data, Makeskeletonpersdata +# Embed + +#2010.08.16 +# Spacecurve changed +# CameracoordCurve, Partcrv3, Projpers, CameraCurve, +# Perspt, Xyzaxpersname, Invperspt, Zparapt, Zperspt + +# 2010.08.15 +# Phcutoffdata added + +# 2010.08.13 +# Phcutdata, Spacecurve debugged +# Setangle changed + +# 2010.08.09 +# Spacecurve +# Rotate3data, Rotate3pt +# Phcutdata + +# 2010.08.08 +# Implementing 3d +# Initangle, Setangle, Setpers, SetstereoL, SetstereoR +# Mixlength +# Spaceline, Projpara, ProjCurve, Parapt +# Xyzax3data, Xyzaxparaname +# Cancoordpers, Invparapt, ProjcoordCurve +# Skeletonparadata, Skeletonpara3data, Makeskeletondata, Kukannozoki + +# 2010.07.25 +# Rotatedata changed +# Drwline changed (list of list) + +# 2010.04.09 +# Stat package added + +# 2010.04.02 +# Putcolexpr, Putrowexpr + +# 2010.04.02 + +# Windisp, Op changed +# Execmd added +# Texnewcmd, Texrenewcmd, Texend, +# Texctr, Texnewctr, Texsetctr +# Kyoukai debugged + +# 2010.01.20 +# Partcrv, Makeshasen : debugged + +# 2010.01.23 +# Ovaldata, Ovalbox added + +# 2010.01.27 +# Readtextdata changed +# Putrow, PutcoL debugged ( Putcol is OK) + +# 2010.01.31 +# Writetextdata added + +# 2010.02.12 +# Texvalctr, Texthectr added + +# 2010.02.22 +# Execmd changed + +# 2010.02.23 +# Op, Windisp changed + +# 2010.02.24 +# Execmd changed + +# 2010.03.07 +# Dotfilldata (Kosa>1) + +# 2010.03.21 +# Mixjoin +# Koutenlist (bug) + + +# 2010.03.24 +# Arrowhead ( bug in the case of "l" ) + +# 2010.03.28 +# Tabledata +# Diagcelldata ( New ) + +# 2010.03.30 +# Tabledata + +########################################### + +XMIN<- -5 +XMAX<- 5 +YMIN<- -5 ; YMAX<- 5 +ZIKU<- "l" +#ARROWSIZE<- 1 +XNAME<- "$x$" +XPOS<- "e" +YNAME<- "$y$" +YPOS<- "n" +ONAME<- "O" +OPOS<- "sw" +ULEN<- "1cm" +MilliIn<- 1/2.54*1000 +PenThick<- round(MilliIn*0.02) +PenThickInit<- PenThick +TenSizeInit<<- 0.02*2 #17.10.07 +TenSize<- TenSizeInit +Wfile<-"" +MEMORI<- 0.05 +MEMORIInit<- MEMORI +MEMORINow<- MEMORI +MARKLEN<- 0.05 +MARKLENInit<- MARKLEN +MARKLENNow<- MARKLEN +GENTEN<- c(0,0) +YaSize<- 1 +YaAngle<- 18 +YaPosition<- 1 +YaThick<- 1 +YaStyle<- "tf" +PHI<- 30*pi/180 +THETA<- 60*pi/180 +FocusPoint<- c(0,0,0) +EyePoint<- c(5,5,5) +ASSIGNLIST<- list("`","'") + +SCALEX<- 1 +SCALEY<- 1 +LOGX<- 0 +LOGY<- 0 + +TEXFORLEVEL<- 0 +TEXFORLAST<- list() + +####################### + +Ketinit<- function(){ +XMIN<<- -5 +XMAX<<- 5 +YMIN<<- -5 ; YMAX<<- 5 +ZIKU<<- "l" +#ARROWSIZE<<- 1 +XNAME<<- "$x$" +XPOS<<- "e" +YNAME<<- "$y$" +YPOS<<- "n" +ONAME<<- "O" +OPOS<<- "sw" +ULEN<<- "1cm" +MilliIn<<- 1/2.54*1000 +PenThick<<- round(MilliIn*0.02) +PenThickInit<<- PenThick +TenSizeInit<<- 0.02*2 #17.10.07 +TenSize<<- TenSizeInit +Wfile<<-"" +MEMORI<<- 0.05 +MEMORIInit<<- MEMORI +MEMORINow<<- MEMORI +MARKLEN<<- 0.05 +MARKLENInit<<- MARKLEN +MARKLENNow<<- MARKLEN +GENTEN<<- c(0,0) +YaSize<<- 1 +YaAngle<<- 18 +YaPosition<<- 1 +YaThick<<- 1 +YaStyle<<- "tf" +PHI<<- 30*pi/180 +THETA<<- 60*pi/180 +FocusPoint<<- c(0,0,0) +EyePoint<<- c(5,5,5) +ASSIGNLIST<<- list("`","'") + +SCALEX<<- 1 +SCALEY<<- 1 +LOGX<<- 0 +LOGY<<- 0 + +TEXFORLEVEL<<- 0 +TEXFORLAST<<- list() +} + +#------------------------------------------------------- + +Appendrow<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + Out<-c() + Nc<- 0 + for (I in 1:Nargs) + { + Dt<- varargin[[I]] + Nc<- max(Nc,Ncol(Dt)) + if(class(Dt)=="matrix") Dt<-as.numeric(t(Dt)) + Out<- c(Out,Dt) + } + if(Nc>0) + { + Out<-matrix(Out, nrow=Nc) + Out<-t(Out) + } + else + { + Out<-c() + } + return(Out) +} + +Datalength<-function(Data) +{ + if(length(Data)==0) return(0) + if(mode(Data)=="numeric") return(Nrow(Data)) + if(mode(Data)=="character") return(nchar(Data)) + if(mode(Data)=="list") return(length(Data)) +} + +Crossprod<- function (a,b){ # 17.12.22 + if(length(a)==3){ + Tmp1=a[2]*b[3]-a[3]*b[2] + Tmp2=a[3]*b[1]-a[1]*b[3] + Tmp3=a[1]*b[2]-a[2]*b[1] + Out=c(Tmp1,Tmp2,Tmp3) + }else{ + Out=a[1]*b[2]-a[2]*b[1] + } + return(Out) +} + +Dotprod<-function(a,b){ # 18.02.05 + nn=min(length(a),length(b)) + out=0 + for(jj in Looprange(1,nn)){ + out=out+a[jj]*b[jj] + } + return(out) +} + +Mvprod<- function(...){ # 190127 + varargin<- list(...) + mat=varargin[[1]] + vec=varargin[[2]] + if(length(varargin)>2){ + nn=varargin[[3]] + }else{ + nn=1 + } + mm=round(length(vec)/nn) + mat=matrix(mat,ncol=mm,byrow=TRUE) + vec=matrix(vec,nrow=nn,byrow=TRUE) + out=c() + for(jj in 1:nn){ + tmp=mat%*%Op(jj,vec) + out=c(out,tmp) + } + if(nn>1){ + out=matrix(out,nrow=nn,byrow=TRUE) + } + return(out) +} + +Dist<- function(...) # 17.09.17 +{ + varargin<- list(...) + a=varargin[[1]] + if(length(varargin)==1){ + tmp=sqrt(Dotprod(a,a)) + return(as.vector(tmp)) + } + else{ + b=varargin[[2]] + tmp=sqrt(Dotprod(b-a,b-a)) + retun(as.vector(tmp)) + } +} + +Member<-function(A,L) +{ + N<-length(L); + if(length(N)==0) return(FALSE) + for (I in 1:N) + { + if(class(L)=="list") + { + Tmp<-L[[I]] + } + else + { + Tmp<-L[I] + } + if(mode(A)=="numeric") + { + if(Norm(A-Tmp)==0) return(TRUE) + } + else + { + if(A==Tmp) return(TRUE) + } + } + return(FALSE) +} + +Norm<-function(V) +{ + Tmp=Dotprod(V,V) #18.02.09 +# Tmp<-as.vector(V); +# Tmp<-crossprod(Tmp,Tmp) + Tmp<-sqrt(Tmp) +# as.numeric(Tmp) +} + +Ncol<-function(P) +{ + if(class(P)=="matrix") return(ncol(P)) + else return(length(P)) +} + +Nrow<-function(P) +{ + if(length(P)==0) return(0) + if(class(P)=="matrix") return(nrow(P)) + else return(1) +} + +Looprange<- function(a,b) +{ +if(a<=b) return(a:b) +return(c()) +} + +Stripblanks<- function(Ch){ + Tmp<- gsub(" ","",Ch,fixed=TRUE) + return(Tmp) +} + +Quicksort<- function(seqL,key){ #18.02.01 + if(length(seqL)<2){ + out=seqL + }else{ + tmp1=Op(1,seqL) + tmp2=Op(2,seqL) + if(Op(key,tmp1)>=Op(key,tmp2)){ + pivot = tmp1 + }else{ + pivot=tmp2 + } + left = list() + right = list() + for(ii in 1:length(seqL)){ + tmp=Op(ii,seqL) + if(Op(key,tmp)< Op(key,pivot)){ + left=c(left,list(tmp)) + }else{ + right=c(right,list(tmp)) + } + } + left = Quicksort(left,key) + right = Quicksort(right,key) + out=c(left,right) + } + return(out) +} + +Derivative<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + Fstr<- varargin[[1]] + Vstr<- varargin[[2]] + NvaL<- length(Vstr) + Flg<- 0 + if(Nargs>=3){ + VaL<- varargin[[3]] + Flg<- 1 + } + Str<- paste("deriv(~",Fstr,",c('",Vstr[1],"'",sep="") + for(J in Looprange(2,NvaL)){ + Str<- paste(Str,",'",Vstr[J],"'",sep="") + } + Str<- paste(Str,")",sep="") + if(NvaL<=3){ + Str<- paste(Str,",func=TRUE)",sep="") + } + else{ + Str<- paste(Str,")",sep="") + } + f<- eval(parse(text=Str)) + if(Flg==1){ + if(NvaL<=3){ + if(NvaL==1){V<- f(VaL[1])} + if(NvaL==2){V<- f(VaL[1],VaL[2])} + if(NvaL==3){V<- f(VaL[1],VaL[2],VaL[3])} + } + else{ + for(J in 1:NvaL){ + Tmp<- paste(Vstr[J],'<-',as.character(VaL[J])) + eval(parse(text=Tmp)) + } + V<- eval(f) + } + Out<- attr(V,'gradient') + Out<- Out[1,] + } + else{ + Out<- f + } + return(Out) +} + +Diff<- function(...){ #18.02.04 + varargin=list(...) + Nargs=length(varargin) + fun=varargin[[1]] + withvar=varargin[[2]] + tmp=paste("f<- expression(",fun,")",sep="") + eval(parse(text=tmp)) + nn=nchar(withvar) + for(jj in Looprange(1,nn)){ + tmp=substring(withvar,jj,jj) + f=D(f,tmp) + } + var=c() + val="" + for(jj in Looprange(3,Nargs)){ + tmp=strsplit(varargin[[jj]],"=") + var=c(var,tmp[[1]][1]) + val=paste(val,tmp[[1]][2],",",sep="") + } + if(Length(val)>1){ + val=substring(val,1,Length(val)-1) + f=deriv(f,var,func=TRUE) + tmp=paste("out=f(",val,")",sep="") + out=eval(parse(text=tmp)) + return(out[1]) + }else{ + return(f) + } +} + +Funvalue<- function(...){ + varargin=list(...) + Nargs=length(varargin) + df=varargin[[1]] + var=c() + val="" + for(jj in Looprange(2,Nargs)){ + tmp=strsplit(varargin[[jj]],"=") + var=c(var,tmp[[1]][1]) + val=paste(val,tmp[[1]][2],",",sep="") + } + val=substring(val,1,Length(val)-1) + dfun=deriv(df,var,func=TRUE) + tmp=paste("out=dfun(",val,")",sep="") + eval(parse(text=tmp)) + return(out[1]) +} + +Integrate<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + Fstr<- varargin[[1]] + Vstr<- varargin[[2]] + IntvL<- varargin[[3]] + Str<- 'Tmpfun<- function(' + Str<- paste(Str,Vstr,'){',sep='') + Str<- paste(Str,Fstr,'}',sep='') + eval(parse(text=Str)) + Tmpfunv<- function(x){sapply(x,Tmpfun)} + Out<- 0 + for (J in 1:(length(IntvL)-1)){ + Tmp<- integrate(Tmpfunv,IntvL[J],IntvL[J+1]) + Out<- Out+Tmp[[1]] + } + return(Out) +} + +#-------------------------------------- + +######################### +# 180506 (pB,pA,angle) supported + +Anglemark<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + Eps<- 10^(-3) + PB<- varargin[[1]] + PA<- varargin[[2]] + PC=varargin[[3]] + r <- 0.5 + if(Nargs>=4){ + r<- varargin[[4]]*r + } + Out=c() + if(length(PC)>1){ #180506from + Tmp=min(Norm(PB-PA),Norm(PC-PA)) + }else{ + Tmp=Norm(PB-PA) + } + if(r>Tmp){ #180506to + return(Out) + } + Cir<- Circledata(c(PA,r)) #17.11.29 + Tmp<- IntersectcrvsPp(Cir,Listplot(PA,PB)) + P1<- Op(2,Op(1,Tmp)) + if(length(PC)>1){ + Tmp<- IntersectcrvsPp(Cir,Listplot(PA,PC)) + P2<- Op(2,Op(1,Tmp)) + if(abs(P1-P2)<Eps){ + Out<-c() + return(Out) + } + if(P1<P2-Eps){ + Out<- Partcrv(P1,P2,Cir) + } + else{ + Tmp<- Numptcrv(Cir) + Tmp1<- Partcrv(P1,Tmp,Cir) + Tmp2<- Partcrv(1,P2,Cir) + Out<- Joincrvs(Tmp1,Tmp2) + } + }else{ + Tmp1=Pointoncurve(1,Cir)-PA + Tmp2=Pointoncurve(2,Cir)-PA + Tmp=Dotprod(Tmp1,Tmp2)/(Norm(Tmp1)*Norm(Tmp2)) + Tmp=PC/acos(Tmp) + if(P1+Tmp<Length(Cir)){ + Out<- Partcrv(P1,P1+Tmp,Cir) + }else{ + Tmp1= Partcrv(P1,Length(Cir),Cir) + Tmp2= Partcrv(1,P1+Tmp-Length(Cir)+1,Cir) + Out<- Joincrvs(Tmp1,Tmp2) + } + } + Out +} + +############################################## + +Arrowdata<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + P<- varargin[[1]] + Q<- varargin[[2]] + R<- Q + Futosa<- YaThick + Ookisa<- YaSize + Thickness<- 1 + Hiraki<- YaAngle + Yapos<- YaPosition + Position<- 1 + Str<- YaStyle + Flg<- 0 + for (I in Looprange(3,Nargs)){ + Tmp<- varargin[[I]] + if(mode(Tmp)=="numeric"){ + if(length(Tmp)>1){ + R<- Tmp + } + else{ + if(Flg==0){ + Ookisa<- Ookisa*Tmp + } + if(Flg==1){ + if(Tmp<5){ + Hiraki<- Tmp*Hiraki + } + else{ + Hiraki<- Tmp + } + } + if(Flg==2){ + R<- P+Tmp*(Q-P) + } + else{ + R<- P+Yapos*(Q-P) + } + if(Flg==3){ + Futosa<- Tmp + } + Flg<- Flg+1 + } + } + if(mode(Tmp)=="character"){ + Tmp<- grep("=", Tmp) + if(length(Tmp)>0){ + eval(parse(text=Tmp)) + Futosa<- Futosa*Thickness + R<- P+Position*(Q-P) + } + else{ + Str<- Tmp + } + } + } + Tmp1<- Listplot(c(P,Q)) + Tmp2<- Arrowheaddata(R,Q-P,Ookisa,Hiraki,Futosa,Str) + Out<- Joingraphics(Tmp1,Tmp2) +} + +###################################### + +# 2018.10.19 for new basic1.cs +# 2013.11.13 No Intersect debugged + +Arrowhead<-function(...){ +## Scaling is implemented +## 12.01.08 Kirikomi + Eps=10^(-3) + varargin<-list(...) + Nargs<-length(varargin) + P<-varargin[[1]] + Houkou<-varargin[[2]] + Ookisa<-0.2*YaSize + Hiraki<-YaAngle + Futosa<-0.5*YaThick + Cut<- 0 + Str<-YaStyle + Flg<- 0 + for (I in Looprange(3,Nargs)){ + Tmp<-varargin[[I]] + if(is.character(Tmp)){ + Equal<- grep("=",Tmp,fixed=TRUE) # 12.01.07 from + if(length(Equal)>0){ + Tmp1<- strsplit(Tmp,"=",fixed=TRUE) + Tmp2<- Tmp1[[1]] + if(Tmp2[1]=="Cut" || Tmp2[1]=="cut"){ + Tmp<- paste("Cut=",Tmp2[2],sep="") + eval(parse(text=Tmp)) + } + }else{ + Str<- Tmp + } # 12.01.07 until + } + if(is.numeric(Tmp) && length(Tmp)==1){ + if(Flg==0) Ookisa<-Ookisa*Tmp + if(Flg==1){ + if(Tmp<5) Hiraki<-Tmp*Hiraki + else Hiraki<-Tmp + } + if(Flg==2) Futosa<-Tmp + Flg<-Flg+1 + } + } + Ookisa<-1000/2.54/MilliIn*Ookisa + Theta<-Hiraki*pi/180 + P<- Doscaling(P) + Houkou<- Doscaling(Houkou) + if(Nrow(Houkou)>1){ + Tmp<-Nearestpt(P,Houkou) #181019 (2lines) + P<- Tmp[[1]] + I<-floor(Tmp[[2]]) + if(I==1){# 180511 + if(Norm(Ptend(Houkou)-Ptstart(Houkou))<Eps){ + I=Numptcrv(Houkou) + } + } + G<-Circledata(c(P,Ookisa*cos(Theta)),"Num=10") #181019(2lines) + Flg<- 0 # 13.11.13 + JL<-seq(I,1,by=-1) + for (J in JL){ + Tmp1=matrix(c(P,Op(J,Houkou)),ncol=2,byrow=TRUE) #181019 +# Tmp<-IntersectcurvesPp(Tmp1,G,0.001,0.01) + Tmp<-IntersectcrvsPp(Tmp1,G) + if(Length(Tmp)>0){ + Houkou<-P-Op(1,Tmp[[1]]) + Flg<- 1 + break + } + } + if(Flg==0){ # 13.11.13 + print("Arrowhead may be too large (no intersect)") + return(P) + } + } + Ev<--1/Norm(Houkou)*Houkou + Nv<-c(-Ev[2],Ev[1]) + if(length(grep("c",Str))>0){ + P<- P-0.5*Ookisa*cos(Theta)*Ev + } + if(length(grep("b",Str))>0){ + P<- P-Ookisa*cos(Theta)*Ev + } + A<- P+Ookisa*cos(Theta)*Ev+Ookisa*sin(Theta)*Nv + B<- P+Ookisa*cos(Theta)*Ev-Ookisa*sin(Theta)*Nv + if(length(grep("l",Str,fixed=TRUE))>0){ + Tmp<- matrix(c(A,P,B),ncol=2,byrow=TRUE)#181019(2lines) + Tmp1<- Unscaling(Tmp) + Drwline(Tmp1,Futosa) + } + else{ + C<- P+(1-Cut)*((A+B)/2-P) # 12.01.07 + Tmp<- matrix(c(A,P,B,C,A),ncol=2,byrow=TRUE) #181019(2lines) + Tmp1<- Unscaling(Tmp) + Shade(Tmp1) + Tmp= matrix(c(A,P,B,C,A,P),ncol=2,byrow=TRUE)#181019(2lines) + Tmp1=Unscaling(Tmp) + Drwline(Tmp1,0.1) # 15.06.11, 15.06.14 + } +} + +############################################ + +# 2013.11.13 No intersect debugged + +Arrowheaddata<- function(...) +{ ## Scaling is implemented + Eps=10^(-3) + varargin<- list(...) + Nargs<- length(varargin) + P<- varargin[[1]] + Houkou<- varargin[[2]] + Ookisa<- 0.2*YaSize + Hiraki<- YaAngle + Futosa<- 0 + Thickness<- 1 + Str<- YaStyle + Flg<- 0 + for (I in Looprange(3,Nargs)){ + Tmp<-varargin[[I]] + if(mode(Tmp)=="character"){ + Tmp1<-grep("=",Tmp) + if(length(Tmp1)>0){ + eval(parse(text=Tmp)) + Futosa<- Thickness + } + else{ + Str<- Tmp + } + } + if(mode(Tmp)=="numeric" && length(Tmp)==1){ + if(Flg==0) Ookisa<-Ookisa*Tmp + if(Flg==1){ + if(Tmp<5) Hiraki<-Tmp*Hiraki + else Hiraki<-Tmp + } + if(Flg==2) Futosa<-Tmp + Flg<-Flg+1 + } + } + Theta<- Hiraki*pi/180 + if(Nrow(Houkou)>1){ + P<- Doscaling(P) + Houkou<- Doscaling(Houkou) + Tmp<-Nearestpt(P,Houkou) + A<-Tmp[[1]] + I<-floor(Tmp[[2]]) + if(I==1){# 180511 + if(Norm(Ptend(Houkou)-Ptstart(Houkou))<Eps){ + I=Numptcrv(Houkou) + } + } + G<-Circledata(c(P,Ookisa*cos(Theta)),N=10) #17.11.29 + Flg<- 0 # 13.11.13 + JL<-seq(I,1,by=-1) + for (J in JL){ + B<- Ptcrv(J,Houkou) + Tmp<- IntersectcrvsPp(Listplot(list(A,B)),G) + if(length(Tmp)>0){ + Flg<- 1 + break + } + A<-B + } + if(Flg==0){ # 13.11.13 + print("Arrowhead may be too large (no intersect)") + return(P) + } + Houkou<-P-Op(1,Tmp[[1]]) + Houkou<- Unscaling(Houkou) + P<- Unscaling(P) + } + P<- Doscaling(P) + Houkou<- Doscaling(Houkou) + Ev<- -1/Norm(Houkou)*Houkou + Nv<- c(-Ev[2],Ev[1]) + if(length(grep("c",Str))>0){ + P<-P-0.5*Ookisa*cos(Theta)*Ev + } + if(length(grep("b",Str))>0){ + P<-P-Ookisa*cos(Theta)*Ev + } + A<-P+Ookisa*cos(Theta)*Ev+Ookisa*sin(Theta)*Nv + B<-P+Ookisa*cos(Theta)*Ev-Ookisa*sin(Theta)*Nv + Tmp<- Listplot(A,P,B) + Out<- Unscaling(Tmp) + return(Out) +} + +########################################## + +Arrowline<- function(...) +{ # 12.01.07 kirikomi + varargin<- list(...) + Nargs<- length(varargin) + P<- varargin[[1]] + Q<- varargin[[2]] + Futosa<- YaThick + Ookisa<- YaSize + Hiraki<- YaAngle + Yapos<- YaPosition + Cutstr<- "Cut=0" + Str<- YaStyle + Flg<- 0 + for (I in Looprange(3,Nargs)){ + Tmp<- varargin[[I]] + if(is.character(Tmp)){ + Equal<- grep("=",Tmp,fixed=TRUE) # 12.01.07 from + if(length(Equal)>0){ + Tmp1<- strsplit(Tmp,"=") + Tmp2<- Tmp1[[1]] + if(Tmp2[1]=="Cut" || Tmp2[1]=="cut"){ + Tmp<- paste("Cut=", Tmp2[2],sep="") + Cutstr<- Tmp + } + } + else{ + Str<- Tmp + } # 12.01.07 until + } + if(is.numeric(Tmp) && length(Tmp)==1){ + if(Flg==0) Ookisa<- Ookisa*Tmp + if(Flg==1){ + if(Tmp<5) Hiraki<- Tmp*Hiraki + else Hiraki<- Tmp + } + if(Flg==2) Yapos<- Tmp + if(Flg==3) Futosa<- Tmp + Flg<- Flg+1 + } + } + R<- P+Yapos*(Q-P) + Tmp=Q-Unscaling(0.2*Ookisa/2*(Q-P)/Norm(Q-P)) # 15.10.24 + Drwline(Listplot(c(P,Tmp)),Futosa) + Tmp=SCALEY + Setscaling(1) + Arrowhead(R,Q-P,Ookisa,Hiraki,Futosa,Cutstr,Str) + Setscaling(Tmp) +} + +######################################### + +Assign<- function(...){ + Replace=function (vname,rep,str){#180615from + opv=c("+","-","*","/","(",")","=","<",">",""," ",",") #180812 + out="" + start=1 + Tmp=gregexpr(vname,str,fixed=TRUE) + Vp=Op(1,Tmp) + if(min(Vp)>0){ + for(j in Vp){ + if(j==1){bf=""}else{bf=substring(str,j-1,j-1)} + Tmp=j+nchar(vname)-1 #180812(2lines) + if(Tmp==nchar(str)){af=""}else{af=substring(str,Tmp+1,Tmp+1)} + tmp1=length(intersect(bf,opv)) + tmp2=length(intersect(af,opv)) + tmp=substring(str,start,j+nchar(vname)-1) #180812 + if((tmp1>0)&&(tmp2>0)){ + tmp=gsub(vname,rep,tmp,fixed=TRUE) + } + out=paste(out,tmp,sep='') + start=j+nchar(vname) #180812 + } + } + out=paste(out,substring(str,start,nchar(str)),sep='') + }#180615to + varargin<- list(...) + Nargs<- length(varargin) + if(Nargs==0){ + ASSIGNLIST<<- list("`",Prime()) + Out<- ASSIGNLIST + return() +# return("Assign reset done"); + } + L<- list("`","'") + if(Nargs%%2==0){ + L<- Mixjoin(L,varargin) + ASSIGNLIST<<- L + Out<- L + return() +# return("Assign set done"); + } + if(Nargs==1){ + Fnstr<- varargin[[1]] + if(nchar(Fnstr)==0){ # case of "" + L<- ASSIGNLIST + Out<- c() + for (I in seq(1,length(L),by=2)){ + Tmp1<- L[[I]] + Tmp2<- L[[I+1]] + if(length(Tmp2)==1){ + Tmp3<- as.character(Tmp2) + } + else{ + if(mode(Tmp2)=="character"){ + Tmp3<- Tmp2 + } + else if(mode(Tmp2)=="list"){ + Tmp3<- makeliststr(Tmp2) + } + else if(mode(Tmp2)=="numeric"){ + Tmp3<- "c(" + for (J in Looprange(1,length(Tmp2))){ + Tmp3<- paste(Tmp3,as.character(Tmp2[J]),sep="") + if(J<length(Tmp2)){ + Tmp3<- paste(Tmp3,",",sep="") + } + } + Tmp3<- paste(Tmp3,")",sep="") + if(class(Tmp2)=="matrix"){ + Nr<- as.character(nrow(Tmp2)) + Tmp3<- paste("matrix(",Tmp3,"nrow=",Nr,")",sep="") + } + } + } + Tmp<- paste(Tmp1,"=",Tmp3,sep="") + Out<- c(Out,Tmp) + } + return(Out); + } + if(substr(Fnstr,1,1)=="?"){ + Fnstr<- substr(Fnstr,2,nchar(Fnstr)) + for (I in seq(1,length(ASSIGNLIST),by=2)){ + Tmp<- ASSIGNLIST[[I]] + if(Tmp==Fnstr){ + Out<- Mixjoin(list(I),ASSIGNLIST[I+1]) + return(Out) + } + } + Out<- "Not found" + return(Out); + } + L<- ASSIGNLIST + } + else{ + if(mode(varargin[[2]])=="numeric"){ + Fnstr<- varargin[[Nargs]] + for (I in Looprange(1,Nargs-1)){ + L[[I]]=varargin[[I]] + } + } + else{ + Fnstr<- varargin[[1]] + for (I in Looprange(2,Nargs)){ + L[[I-1]]<- varargin[[I]] + } + } + } + +FlagL<<- 0 + + for (I in seq(1,length(L),by=2)){ + Vname<- L[[I]] + Val<- L[[I+1]] + if(mode(Val)=="numeric"){ + if(Nrow(Val)==1){ + for (K in Looprange(1,length(Val))){ + if(length(Val)==1){ + Tmp<- Vname + } + else{ + Tmp<- paste(Vname,"[", as.character(K),"]",sep="") + } + if(mode(Val[K])=="numeric"){ + Tmp1<- paste("(",as.character(Val[K]),")",sep="") + } + else{ + Tmp1<- Val[K] + } + Fnstr<- Replace(Tmp,Tmp1,Fnstr)#180615 + } + } + else{ + for (J in Looprange(1,Nrow(Val))){ + for (K in Looprange(1,Ncol(Val))){ + Tmp<- paste(Vname,"(",as.character(J),",",as.character(K),")",sep="") + if(mode(Val[J,K])=="numeric"){ + Tmp1<- paste("(",as.character(Val[J,K]),")",sep="") + } + else{ + Tmp1<- Val[J,K] + } + Fnstr<- Replace(Tmp,Tmp1,Fnstr)#180615 + } + } + } + if(length(Val)==1){ + Rep<- as.character(Val) + } + else{ + Rep<-"" + if(class(Val)=="matrix"){ + Rep<- "matrix(" + } + Rep<- paste(Rep,"c(",sep="") + for (J in Looprange(1,length(Val))){ + Rep<- paste(Rep,as.character(Val[J]),sep="") + if(J<length(Val)){ + Rep<- paste(Rep,",",sep="") + } + else{ + Rep<- paste(Rep,")",sep="") + } + } + if(class(Val)=="matrix"){ + Rep<- paste(Rep,",nrow=",as.character(nrow(Val)),")",sep="") + } + } + Tmp1<- paste("(",Rep,")",sep="") + } + if(mode(Val)=="character"){ + Tmp1<- Val + } + if(mode(Val)=="list"){ + Tmp1<- Makeliststr(Val) + } + Fnstr<- Replace(Vname,Tmp1,Fnstr) #180615 + } + return(Fnstr) +} + +######################################### + +Assignadd<- function(...) +{ + varargin<- list(...) + L<- ASSIGNLIST + L<- Mixjoin(L,varargin) + ASSIGNLIST<<- L +# return("assign add done"); #17.09.17 +} + +######################################### + +Assignrep<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + L<- ASSIGNLIST + for (I in seq(1,Nargs,by=2)){ + Vname<- varargin[[I]] + Val<- varargin[[I+1]] + Tmp1<- paste("?",Vname,sep="") + Tmp<- Assign(Tmp) + if(mode(Tmp)=="character"){ + next + } + I<- Tmp[[1]] + L<- Mixjoin(L,list(Val)) + } + ASSIGNLIST<<- L +} + +######################################### + + Assignset<- function(...) +{ + Assign(...) +} + +######################################### + +Beginpicture<-function(ul) +{ ## Scaling is implemented + Tmp<- Doscaling(c(XMIN,YMIN)) + Xm<- Tmp[1] + Ym<- Tmp[2] + Tmp<- Doscaling(c(XMAX,YMAX)) + XM<- Tmp[1] + YM<- Tmp[2] + Dx<- XM-Xm + Dy<- YM-Ym + Sym<-".0123456789 +-*/" + SL<-Sym + OL<-"+-*/" + if(ul!=""){ + ULEN<<-ul; + } + Is<-1; + VL<-""; + Ucode<-ULEN + for (I in Looprange(1,nchar(Ucode))){ + C<-substring(Ucode,I,I); + if(length(grep(C,SL))>0){ + if(length(grep(C,OL))>0){ + Tmp<-substring(Ucode,Is,I-1); + Str<-paste(VL,Tmp,C,sep="") + VL<-Str + Is<-I+1; + } + } + else{ + Unit<-substring(Ucode,I,I+1) + Str<-substring(Ucode,Is,I-1) + VL<-paste(VL,Str,sep="") + break; + } + } + Valu<-eval(parse(text=VL)) + Str<-as.character(Valu); + ULEN<<- paste(Str,Unit,sep="") + if(Unit=="cm") MilliIn<<-1000/2.54*Valu + if(Unit=="mm") MilliIn<<-1000/2.54*Valu/10 + if(Unit=="in") MilliIn<<-1000*Valu + if(Unit=="pt") MilliIn<<-1000/72.27*Valu + if(Unit=="pc") MilliIn<<-1000/6.022*Valu + if(Unit=="bp") MilliIn<<-1000/72*Valu + if(Unit=="dd2") MilliIn<<-1000/1238/1157/72.27*Valu + if(Unit=="cc") MilliIn<<-1000/1238/1157/72.27*12*Valu; + if(Unit=="sp") MilliIn<<-1000/72.27/65536*Valu/10 + MARKLEN<<- MARKLENNow*1000/2.54/MilliIn; + Str<-paste("{\\unitlength=",ULEN,"%\n",sep="") + cat(Str,file=Wfile,append=TRUE) + cat("\\begin{picture}%\n",file=Wfile,append=TRUE) + Str<-"(" + Tmp<-as.character(round(Dx,digits=6)) + Str<-paste(Str,Tmp,",",sep="") + Tmp<-as.character(round(Dy,digits=6)) + Str<-paste(Str,Tmp,")(",sep="") + Tmp<-as.character(round(Xm,digits=6)) + Str<-paste(Str,Tmp,",",sep="") + Tmp<-as.character(round(Ym,digits=6)) + Str<-paste(Str,Tmp,")%\n",sep="") + cat(Str,file=Wfile,append=TRUE) + Str<-paste("\\special{pn ",as.character(PenThickInit),"}%\n",sep="") + cat(Str,file=Wfile,append=TRUE) + cat("%\n",file=Wfile,append=TRUE) +} + +################################################# + +Bowdata<- function(...) #17.09.17 +{ + varargin <- list(...) + Nargs <- length(varargin) + PA <- varargin[[1]] + PB <- varargin[[2]] + Cut <- 0 + D <- 1/2*Norm(PB-PA) + if(Nargs>=3) { + H <- varargin[[3]]*D*0.2 + } + else { + H <- D*0.2 + } + H <- min(H,D) + if(Nargs>=4){ + Cut <- varargin[[4]] + } + Ydata <- MakeBowdata(PA,PB,H) + C <- Op(1,Ydata) + r <- Op(2,Ydata) + R1 <- Op(3,Ydata) + R2 <- Op(4,Ydata) + Rng <- paste("R=c(",as.character(R1),",",as.character(R2),")",sep="") + Theta <- (R1+R2)*0.5 + BOWMIDDLE <<- list(c(C[1]+r*cos(Theta),C[2]+r*sin(Theta)),Theta) + M <- Op(1,BOWMIDDLE) + ThetaM <- Op(2,BOWMIDDLE) + BOWSTART <<- PA + BOWEND <<- PB + if(Cut==0){ + Pd<- Circledata(c(C,r),Rng) + } + else{ + Alpha <- R1; Beta <- ThetaM-Cut/(2*r) + Rng <- paste("Rng=c(",as.character(Alpha),",",as.character(Beta),")",sep="") + Pd <- Circledata(c(C,r),Rng) + Alpha <- ThetaM+Cut/(2*r); Beta <- R2 + Rng <- paste("R=c(",as.character(Alpha),",",as.character(Beta),")",sep="") + Tmp <- Circledata(c(C,r),Rng) + Pd <- Appendrow(Pd,c(Inf,Inf),Tmp) + } +} + +Bowmiddle <- function(...) +{ + varargin <- list(...) + Nargs <- length(varargin) + if( Nargs==0) { + M <- BOWMIDDLE + return(M) + } + if(Nargs==1) { + Bdata <- varargin[[1]] + A <- Bdata[1,] + Dind <- Dataindex(Bdata) + Dc <- Nrow(Dind) + Tmp <- Dind[Dc,2] + B <- Bdata[Tmp,] + if(Dc==1) { + Tmp1 <- round(Tmp/2) + } + else { + Tmp1 <- Dind[1,2] + } + D <- Bdata[Tmp1,] + B <- B-A + D <- D-A + Tmp1 <- B[1]*D[2]-D[1]*B[2] + Tmp2 <- (Norm(B)^2*D[2]-B[2]*Norm(D)^2)/2 + Tmp3 <- -(Norm(B)^2*D[1]-B[1]*Norm(D)^2)/2 + C <- c(Tmp2,Tmp3)/Tmp1+A + R <- Norm(C-A) + B <- B+A + V <- (A+B)/2-C + V <- V/Norm(V) + M <- C+R*V + } + else { + A <- varargin[[1]]; B <- varargin[[2]] + D <- 1/2*Norm(B-A) + H <- 0.2*D; + if(length(varargin)>=3) { + Tmp <- varargin[[3]] + H <- Tmp*D*0.2 + } + H <- min(H,D) + Ydata <- MakeBowdata(A,B,H) + C <- Op(1,Ydata) + R <- Op(2,Ydata) + T <- (Op(3,Ydata)+Op(4,Ydata))/2 + P <- C+R*c(cos(T),sin(T)) + #M <- list(P,T) + M <- P + } + return(M) +} + +########################## +# 13.12.19 small movement supported + +Bowname<- function(...) +{ + varargin <- list(...) + Nargs <- length(varargin) + Siki <- varargin[[Nargs]] + Nargs<- Nargs-1 + Dr<- "c" + if(Nargs>=1){ + Tmp<- varargin[[Nargs]] + if(is.character(Tmp)){ + Dr<- Tmp + Nargs<- Nargs-1 + } + } + if(Nargs==0){ + Siki <- varargin[[1]] + P <- Op(1,BOWMIDDLE) + } + else if(Nargs==1){ + Bdata <- varargin[[1]] + P <- Bowmiddle(Bdata) + } + else{ + A <- varargin[[1]]; B <- varargin[[2]] + D <- 1/2*Norm(B-A) + Tmp <- varargin[[3]] + if(is.character(Tmp)){ + H <- D*0.2 + } + else { + H <- Tmp*D*0.2 + } + H <- min(H,D) + Ydata <- MakeBowdata(A,B,H) + Tmp <- Bowmiddle(Ydata) + P <- Op(1,Tmp) + } + Expr(P,Dr,Siki) +} + +########################## +# 13.12.19 small movement supported +# A,B, ... no longer supported + +Bownamerot <- function(...) +{ + varargin <- list(...) + Nargs <- length(varargin) + Eps <- 10^(-6) + Flg <- 1 + Tmp <- varargin[[Nargs]] + if(is.numeric(Tmp) && length(Tmp)==1 && Tmp<0){ + Flg <- Tmp + Nargs <- Nargs-1 + } + Siki <- varargin[[Nargs]] + Nargs<- Nargs-1 + Dr<- "c" + if(Nargs>=1){ + Tmp<- varargin[[Nargs]] + if(is.character(Tmp)){ + Dr<- Tmp + Nargs<- Nargs-1 + } + } + if(Nargs==0) { + P <- Op(1,BOWMIDDLE) + A <- BOWSTART + B <- BOWEND + } + else{ + Bdata<- varargin[[1]] + P<- Bowmiddle(Bdata) + A=Bdata[1,] + B=Bdata[nrow(Bdata),] + Tm<- 0; Tv<- 0 + if(Nargs>1){ + Tm<- varargin[[2]] + if(Nargs>2){ + Tv<- varargin[[3]] + } + } + } +# else if(Nargs==2) { +# Bdata <- varargin[[1]] +# P <- Bowmiddle(Bdata) +# A <- Bdata[1,] +# B <- Bdata[Nrow(Bdata),] +# Siki <- varargin[[2]] +# } +# else { +# A <- varargin[[1]]; B <- varargin[[2]] +# D <- 1/2*Norm(B-A) +# Tmp <- varargin[[3]] +# if(mode(Tmp)=="character") { +# H <- 0.2*D; Siki <- Tmp +# } +# else { +# H <- Tmp*D*0.2; Siki <- varargin[[4]] +# } +# H <- min(H,D) +# Ydata <- MakeBowdata(A,B,H) +# C <- Op(1,Ydata) +# R <- Op(2,Ydata) +# T <- (Op(3,Ydata)+Op(4,Ydata))/2 +# P <- C+R*c(cos(T),sin(T)) +# } + if(A[1]>B[1]+Eps){ + Tmp <- A + A <- B + B <- Tmp + } + if(Flg>0) { + Tmp <- B-A + } + else{ + Tmp <- A-B + } + Exprrot(P,Tmp,Tm,Tv,Siki) +} + +CalcHeight<-function(Hoko,Moji) +{ + D<-0 + H<-substring(Hoko,1,1) + Tmp<-paste("\\settoheight{\\Height}{",Moji,"}",sep="") + Str<-c(Tmp) + Tmp=paste("\\settodepth{\\Depth}{",Moji,"}",sep="") + Str<-c(Str,Tmp) + if(H=="n") Str<-c(Str,"\\setlength{\\Height}{\\Depth}") + if(H=="s") Str<-c(Str,"\\setlength{\\Height}{-\\Height}") + if(H=="c") + { + Str<-c(Str,"\\setlength{\\Height}{-0.5\\Height}") + Str<-c(Str,"\\setlength{\\Depth}{0.5\\Depth}") + Str<-c(Str,"\\addtolength{\\Height}{\\Depth}") + } + for (I in 1:length(Str)) cat(Str[I],file=Wfile,append=TRUE) + cat("%\n",file=Wfile,append=TRUE) +} + +######################### + +CalcWidth<-function(Hoko,Moji) +{ + D<-0; + H<-substring(Hoko,2,2) + if(H=="e") D<-0 + if(H=="w") D<--1.0 + if(H=="c") D<--0.5 + Str1<-paste("\\settowidth{\\Width}{",Moji,"}",sep="") + Tmp<-as.character(D) + Str2<-paste("\\setlength{\\Width}{",Tmp,"\\Width}",sep="") + cat(Str1,file=Wfile,append=TRUE) + cat(Str2,file=Wfile,append=TRUE) + cat("%\n",file=Wfile,append=TRUE) +} + +######################### +# 17.09.17 +# 17.09.24 + +Circledata<- function(...){ + varargin<- list(...) + Nargs<- length(varargin) + Cr<- varargin[[1]] + C=Cr[1:2] + if(length(Cr)==4){ + ra=Norm(C-Cr[3:4]) + Nop=2 + } + else{ + ra=Cr[3] + Nop=2 + } + R=c(0,2*pi) + N=50 + for (I in Looprange(Nop,Nargs)){ + Tmp<- varargin[[I]] + if(is.character(Tmp)){ + Tmp1=regexpr("=",Tmp) #17.09.24from + Tmp2=substring(Tmp,Tmp1+1,nchar(Tmp)) + Tmp1=substring(Tmp,1,Tmp1) + Tmp1=gsub("NUM", "N", toupper(Tmp1)) + Tmp1=gsub("RNG", "R", Tmp1) + Tmp=paste(Tmp1,Tmp2,sep="") #17.09.24until + eval(parse(text=Tmp)) + } + } + Dt<- (R[2]-R[1])/N + T <- seq(R[1],R[2],by=Dt) + X <- C[1]+ra*cos(T) + Y <- C[2]+ra*sin(T) + XY<- c(X,Y) + P<- matrix(XY,ncol=2) + return(P) +} + +######################### +# 13.12.19 + +Closefile<-function(...) +{ + varargin<- list(...) + if(length(varargin)>=1){ + Pa<- varargin[[1]] + if(is.character(Pa)){ + if(Pa=="1") Endpicture(1) + if(Pa=="0") Endpicture(0) + } + } + Wfile<<-"" +} + +######################### + +Closepar<- function() +{ + S<- "%\n\\end{minipage}" + cat(S,file=Wfile,append=TRUE) + Closephr() +} + + +#################################### + +Closephr<- function() +{ + cat("%\n}%\n",file=Wfile,append=TRUE) +} + +##################################### + +Dataindex<-function(P) +{ + # Inf;Inf : Terminator + Ndm<-c() + if(length(P)==0) return(Ndm) + N1<-1 + Flg<-0 + for (J in 1:Nrow(P)) + { + if(P[J,1]==Inf) + { + Ndm<-Appendrow(Ndm,c(N1,J-1)) + N1<-J+1; + if(P[N1,1]==Inf) + { + Flg<-1; + break; + } + } + } + if(Flg==0) + { + Ndm<-Appendrow(Ndm,c(N1,Nrow(P))) + } + if(class(Ndm)=="numeric") + { + Tmp<-matrix(Ndm,nrow=1) + Ndm<- Tmp + } + return(Ndm) +} + +################################ + +Dashline<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + Nall<- Nargs; Sen<- 1 ; Gap<- 1 + Tmp<- varargin[[Nall]] + if(mode(Tmp)=="numeric" && length(Tmp)==1 && Tmp>0){ + Tmp1<- varargin[[Nall-1]] + if(mode(Tmp1)=="numeric" && length(Tmp1)==1 && Tmp1>0){ + Sen<- Tmp1; Gap<- Tmp + Nall<- Nall-2 + } + else{ + Sen<- Tmp; Gap<- Sen + Nall<- Nall-1 + } + } + Sen<- 1000/2.54/MilliIn*Sen + Gap<- 1000/2.54/MilliIn*Gap + for (N in Looprange(1,Nall)){ + Pdata<- varargin[[N]] + if(is.numeric(Pdata)==1){ + Pdata<- list(Pdata) + } + for (II in 1:length(Pdata)){ + Figdata<- Op(II,Pdata) + Makehasen(Figdata,Sen,Gap,0) + } + } +} + +############################################## +# 17.11.27 + +Definecolor<- function(Name,Data){ + Tmp1=length(Data) + if((Tmp1<3) || (Tmp1>4)){ + cat("Size of data should be 3 or 4.") + return() + } + if(Tmp1==4){ + Tp="cmyk" + }else{ + Tp="rgb" + } + Tmp="" + for(J in 1:Tmp1){ + Tmp=paste(Tmp, as.character(Data[J]),sep="") + if(J<Tmp1){ + Tmp=paste(Tmp,",",sep="") + } + } + Tmp=paste("\\definecolor{",Name,"}{",Tp,"}{",Tmp,"}",sep="") + Texcom(Tmp) +} + +############################################## + +Diagcelldata<- function(Tb,Nc,Nr) +{ + Tmp<- Findcell(Tb,Nc,Nr) + C<- Tmp[[1]] + Dx<- Tmp[[2]] + Dy<- Tmp[[3]] + Pne<- C+c(Dx,Dy) + Pnw<- C+c(-Dx,Dy) + Psw<- C+c(-Dx,-Dy) + Pse<- C+c(Dx,-Dy) + Tmp1<- Listplot(Pnw,Pse) + Tmp2<- Listplot(Pne,Psw) + list(Tmp1,Tmp2) +} + +############################################## +# 11.01.07 + +Dividegraphics<- function(Pd) +{ + if(length(Pd)==0){ + return(Pd) + } + DtL<- Flattenlist(Pd) + OutL<- list() + for (J in 1:length(DtL)){ + Dt<- as.matrix(DtL[[J]]) + Ndm<- Dataindex(Dt) + for (I in Looprange(1,Nrow(Ndm))){ + Fd<- Dt[Ndm[I,1]:Ndm[I,2],] + OutL<- c(OutL,list(Fd)) + } + } + return(OutL) +} + +############################################## +# 13.05.03 + +Dividetable<- function(Tb) +{ + G<- Tb[[1]] + Gw<- G[[1]] + Gt<- G[Tb[[2]]] + Gy<- G[Tb[[3]]] + list(Gw,Gt,Gy) +} + +################################################ + +Doscaling<- function(G) +{ + GLg<- G + if(class(GLg)=="numeric") + { + if(LOGX==1) GLg[1]<- log(G[1], base=10) + if(LOGY==1) GLg[2]<- log(G[2], base=10) + Tmp<-c(SCALEX*GLg[1],SCALEY*GLg[2]) + return(Tmp) + } + else + { + if(LOGX==1) GLg[,1]<- log(G[,1],base=10) + if(LOGY==1) GLg[,2]<- log(G[,2],base=10) + Tmp1<-matrix(c(SCALEX,0,0,SCALEY),nrow=2) + Tmp<-GLg %*% Tmp1 + return(Tmp) + } +} + +######################################## + +Dotfilldata<- function(...) +{ ## Scaling is implemented + varargin<- list(...) + Nargs<- length(varargin) + ShaL<- list() + Eps<- 0.01 + Kakudo<- 45 + Kosa<- 0.5 + Tmp<- Doscaling(c(XMIN,YMIN)) + Xmn<- Tmp[1]; Ymn<- Tmp[2] + Tmp<- Doscaling(c(XMAX,YMAX)) + Xmx<- Tmp[1]; Ymx<- Tmp[2] + for (N in seq(Nargs,1,by=-1)){ + Tmp<- varargin[[N]] + if(Mixtype(Tmp)!=1){ + break + } + } + if(N<Nargs){ + Kosa<- varargin[[N+1]] + } +# Kosa<- min(Kosa,1) + Tmp<- 1/(2*Kosa) + Kankaku<- Tmp*0.100*1000/2.54/MilliIn + NaitenL<- varargin[[1]] + if(Mixtype(NaitenL)==1){ + NaitenL<- list(NaitenL) + } + Ns<- 2 + StartP<- Op(1,NaitenL) + if(mode(StartP)=="character"){ + StartP<- c((Xmn+Xmx)/2,(Ymn+Ymx)/2) + } + else{ + StartP<- Doscaling(StartP) + } + Tmp<- varargin[[2]] + if(Mixtype(Tmp)==1){ + StartP<- Doscaling(Tmp) + Ns<- 3 + } + Tmp<- list() + for (I in Looprange(Ns,N)){ + Tmp<- Mixjoin(Tmp,list(varargin[[I]])) + } + Bdy<- Kyoukai(Tmp) + Bdys<-list() + for (I in 1:length(Bdy)){ + Tmp1<- Bdy[[I]] + Tmp2<- Doscaling(Tmp1) + Bdys<- Mixjoin(Bdys,list(Tmp2)) + } + Bdy<- Bdys + PtnL<- list() + for (I in Looprange(1,length(NaitenL))){ + Tmp<- Op(I,NaitenL) + if(mode(Tmp)=="numeric"){ + Tmp1<- Naigai(Tmp,Bdy) + PtnL<- Mixjoin(PtnL,list(Tmp1)) + } + else{ + if(mode(Tmp)!="character"){ + return("Mode Error") + } + Ptn<- c() + for (J in Looprange(1,nchar(Tmp))){ + if(substr(Tmp,J,J)=="i"){ + Ptn<- c(Ptn,1) + } + else{ + Ptn<- c(Ptn,0) + } + } + PtnL<- Mixjoin(PtnL,list(Ptn)) + } + } + Call<- length(Bdy) + Ptn<- c(seq(0, 0, length=Call)) + if(Member(Ptn,PtnL)){ + Wn<- Doscaling(Framedata()) + Bdy<- Mixjoin(Bdy,list(Wn)) + Tmp<- list() + for (I in Looprange(1,length(PtnL))){ + Tmp1<- c(Op(I,PtnL),1) + Tmp<- Mixjoin(Tmp,list(Tmp1)) + } + PtnL<- Tmp + } + V<- c(cos(Kakudo*pi/180),sin(Kakudo*pi/180)) + Vm<- c(-sin(Kakudo*pi/180),cos(Kakudo*pi/180)) + Tmp<- Op(1,NaitenL) + if(mode(Tmp)=="numeric" && length(Tmp)==2){ + Tmp<- Doscaling(Tmp) + Delta<- Tmp-StartP + K<- trunc(Dotprod(Delta,Vm)/Kankaku) + PA<- StartP+K*Kankaku*Vm + P<- PA + Sha<- Makeshasen(PtnL,P,V,Bdy) + Sha<- Dividegraphics(Sha) + I<- 1 + while (length(Sha)>0){ + for (J in Looprange(1,length(Sha))){ + Tmp<- Op(J,Sha) + Q<- Tmp[1,] + R<- Tmp[2,] + Tmp<- Dotprod(Q-P,V)/Kankaku + K1<- ceiling(Tmp) + if(abs(K1-Tmp)<Eps) K1=K1+1 + Tmp<- Dotprod(R-P,V)/Kankaku + K2<- floor(Tmp) + if(abs(Tmp-K2)<Eps) K2=K2-1 + for (K in Looprange(K1,K2)){ + Tmp1<- Pointdata(P+K*Kankaku*V) + ShaL<- Mixjoin(ShaL, list(Tmp1)) + } + } + P<- PA+I*Kankaku*Vm + Sha<- Makeshasen(PtnL,P,V,Bdy) + Sha<- Dividegraphics(Sha) + I<- I+1 + } + P<- PA-Kankaku*Vm + Sha<- Makeshasen(PtnL,P,V,Bdy) + I<- 2 + while (length(Sha)>0){ + for (J in 1:length(Sha)){ + Tmp<- Op(J,Sha) + Q<- Tmp[1,] + R<- Tmp[2,] + Tmp<- Dotprod(Q-P,V)/Kankaku + K1<- ceiling(Tmp) + if(abs(K1-Tmp)<Eps) K1<- K1+1 + Tmp<- Dotprod(R-P,V)/Kankaku + K2<- floor(Tmp) + if(abs(Tmp-K2)<Eps) K2<- K2-1 + for (K in Looprange(K1,K2)){ + Tmp1<- Pointdata(P+K*Kankaku*V) + ShaL<- Mixjoin(ShaL, list(Tmp1)) + } + } + P<- PA-I*Kankaku*Vm + Sha<- Makeshasen(PtnL,P,V,Bdy) + I<- I+1 + } + } + else{ + Delta<- c(Xmn,Ymn)-StartP + K1<- trunc(Dotprod(Delta,Vm)/Kankaku) + Delta<- c(Xmx,Ymn)-StartP + K2<- trunc(Dotprod(Delta,Vm)/Kankaku) + Delta<- c(Xmx,Ymx)-StartP + K3<- trunc(Dotprod(Delta,Vm)/Kankaku) + Delta<- c(Xmn,Ymx)-StartP + K4<- trunc(Dotprod(Delta,Vm)/Kankaku) + IM<- max(K1,K2,K3,K4) + Im<- min(K1,K2,K3,K4) + for (I in Im:IM){ + P<- StartP+I*Kankaku*Vm + Sha<- Makeshasen(PtnL,P,V,Bdy) + Sha<- Dividegraphics(Sha) + if(length(Sha)>0){ + for (J in 1:length(Sha)){ + Tmp<- Op(J,Sha) + Q<- Tmp[1,] + R<- Tmp[2,] + Tmp<- Dotprod(Q-P,V)/Kankaku + K1<- ceiling(Tmp) + if(abs(K1-Tmp)<Eps) K1=K1+1 + Tmp<- Dotprod(R-P,V)/Kankaku + K2<- floor(Tmp) + if(abs(Tmp-K2)<Eps) K2=K2-1 + for (K in Looprange(K1,K2)){ + Tmp1<- Pointdata(P+K*Kankaku*V) + ShaL<- Mixjoin(ShaL, list(Tmp1)) + } + } + } + } + } + ShaLs<-list() + for (I in Looprange(1,length(ShaL))) + { + Tmp<- ShaL[[I]] + Tmp1<- Unscaling(Tmp) + ShaLs<- Mixjoin(ShaLs,Tmp1) + } + ShaL<- ShaLs + return(ShaL) +} + +############################################# + +Dottedline<- function(...) +{ + varargin <- list(...) + Nall <- length(varargin) + Nagasa <- 0.1 + Ookisa <- PenThick + I <- Nall + Tmp <- varargin[[I]] + while (mode(Tmp)=="numeric" && length(Tmp)==1 ) { + I <- I-1 + Tmp <- varargin[[I]] + } + if(I==Nall-1) { + Nagasa<-Nagasa*varargin[[Nall]] + Nall <- Nall-1 + } + if(I==Nall-2) { + Nagasa <- Nagasa*varargin[[Nall-1]] + Ookisa <- round(Ookisa*varargin[[Nall]]) + Nall <- Nall-2 + } + Nagasa <- 1000/2.54/MilliIn*Nagasa + for (N in 1:Nall) { + Pdata <- varargin[[N]] + if(mode(Pdata)=="numeric") { + Pdata <- list(Pdata) + } + for (II in 1:length(Pdata)) { + Clist <- MakeCurves(Op(II,Pdata)) + DinM <- Dataindex(Clist) + for (n in Looprange(1,Nrow(DinM))) { + Tmp <- DinM[n,] + Data <- Clist[Tmp[1]:Tmp[2],] + Len <- 0 + Lenlist <- c(0) + for (I in Looprange(2,Nrow(Data))) { + Len <- Len+Norm(Data[I,]-Data[I-1,]) + Lenlist <- c(Lenlist,Len) + } + Lenall <- Lenlist[length(Lenlist)] + if(Lenall==0) { + next + } + Naga <- Nagasa + Nten <- round(Lenall/Naga)+1 + if(Nten > 1) { + Seg <- Lenall/(Nten-1) + } + else { + Seg <- Lenall + } + Eps <- 10^(-6)*Seg + PPd<-c() + Hajime <- 1 + for (I in Looprange(0,Nten-1)) { + Len <- Seg*I + if(I>0) { + J <- Hajime + while( Len>=Lenlist[J]+Eps) { + J <- J+1 + } + Hajime <- J-1 + } + T <- (Len-Lenlist[Hajime])/ + (Lenlist[Hajime+1]-Lenlist[Hajime]) + P <- Data[Hajime,]+T*(Data[Hajime+1,]-Data[Hajime,]) + PPd<-Appendrow(PPd,P) + if(I==Nten-1) { + if(Norm(P-Data[1,])<Eps) { + next + } + } + } + Str<-paste("\\special{pn ", as.character(Ookisa),"}%\n",sep="") + cat(Str,file=Wfile,append=TRUE) + for (I in Looprange(1,Nrow(PPd))){ + P<- Op(I,PPd) + if(Nrow(PPd)==1){ + V<- c(1,0) + } + else if(I==1){ + Tmp<- Op(I+1,PPd)-P + V<- 1/Norm(Tmp)*Tmp + } + else if(I==Nrow(PPd)){ + Tmp<- P-Op(I-1,PPd) + V<- 1/Norm(Tmp)*Tmp + } + else{ + Tmp1<- Op(I+1,PPd)-P + Tmp2<- P-Op(I-1,PPd) + Tmp3<-1/Norm(Tmp1)*Tmp1+1/Norm(Tmp2)*Tmp2 + V<- 1/Norm(Tmp3)*Tmp3 + } + Tmp<- round(MilliIn*P[1]-1/2*Ookisa*V[1]) + X<- as.character(Tmp) + Tmp<- -round(MilliIn*P[2]-1/2*Ookisa*V[2]) + Y<- as.character(Tmp) + Str<-paste("\\special{pa ",X," ",Y,"}",sep="") + cat(Str,file=Wfile,append=TRUE) + Tmp<- round(MilliIn*P[1]+1/2*Ookisa*V[1]) + X<- as.character(Tmp) + Tmp<- -round(MilliIn*P[2]+1/2*Ookisa*V[2]) + Y<- as.character(Tmp) + Str<-paste("\\special{pa ",X," ",Y,"}",sep="") + cat(Str,file=Wfile,append=TRUE) + cat("\\special{fp}",file=Wfile,append=TRUE) + if(I%%2==0){ + cat("%\n",file=Wfile,append=TRUE) + } + } + } + } + } + Tmp<-PenThick/PenThickInit + Setpen(Tmp); +} + +########################################### + +Drwline<-function(...) +{ + varargin<-list(...) + Nall<-length(varargin) + Thick<-0 + Tmp<-varargin[[Nall]] + if(mode(Tmp)=="numeric" && length(Tmp)==1){ + Thick<-round(Tmp*PenThickInit) + Str<-paste("\\special{pn ", as.character(Thick),"}%\n",sep="") + cat(Str,file=Wfile,append=TRUE) + Nall<-Nall-1 + } + for (N in 1:Nall){ + Pdata<-varargin[[N]] + if(length(Pdata)==0) next + if(mode(Pdata)!="list") Pdata<-list(Pdata) + while(Mixtype(Pdata)==3){ # 10.07.25 + Tmp1<- list() + for(II in Looprange(1,length(Pdata))){ + Tmp1<- Mixjoin(Tmp1,Pdata[[II]]) + } + Pdata<- Tmp1 + } # 10.07.25 + for (II in Looprange(1,length(Pdata))){ + Clist<-MakeCurves(Pdata[[II]]) + DinM<-Dataindex(Clist) + for (n in Looprange(1,Nrow(DinM))){ + Tmp<-DinM[n,] + Data<-Clist[Tmp[1]:Tmp[2],] + Mojisu<-0 + for (I in Looprange(1,Nrow(Data))){ + Tmp<-Data[I,] + X<- sprintf("%5.0f",MilliIn*Tmp[1]) # 11.07.19 + Y<- sprintf("%5.0f",-MilliIn*Tmp[2]) # 11.07.19 + Str<-paste("\\special{pa ",X," ",Y,"}",sep="") + cat(Str,file=Wfile,append=TRUE) + Mojisu<-Mojisu+nchar(Str) + if(Mojisu>80){ + cat("%\n",file=Wfile,append=TRUE) + Mojisu<-0 + } + } + if(Mojisu!=0){ + cat("%\n",file=Wfile,append=TRUE) + } + cat("\\special{fp}%\n",file=Wfile,append=TRUE) + } + } + } + Str<-"%" + if(Thick>0){ + Tmp<-PenThick/PenThickInit + Setpen(Tmp) + } +} + +########################################### + +Drwpt<-function(...){ + varargin<-list(...) + Nargs<-length(varargin) + if(TenSize>TenSizeInit){ + N=round(10*sqrt(TenSize/TenSizeInit)) #181231 + } + else{ + if(TenSize==TenSizeInit){ #181231from + N=10 + }else{ + N=4 + } #181231to + } + All=Nargs #181230from + Same="y" + Incolor="" + Tmp=varargin[[All]] + if((is.numeric(Tmp))&&(length(Tmp)>2)){ #190405from + if(Tmp[1]==-1){ + Same="no" + }else{ + Tmp1=sapply(Tmp,as.character) + Incolor=paste("{",Tmp1[1],",",Tmp1[2],",",Tmp1[3],"}",sep="") + Same="n" + } + All=All-1 + }#190405to + CL<- c() + for (J in 0:N){ + Tmp<- TenSize*0.5*1000/2.54/MilliIn + Tmp<- Tmp*c(cos(pi/4+J*2*pi/N),sin(pi/4+J*2*pi/N)) + CL<- append(CL,Tmp) + } + CL<- matrix(CL,nrow=2) + CL<- t(CL) + for (II in Looprange(1,All)){ + MS<- varargin[[II]] + MS=Flattenlist(MS) #17.10.11 + if(mode(MS)=="numeric"){ + MS<- list(MS) + } + for (I in Looprange(1,length(MS))){ + P<- MS[[I]] + if(InWindow(P)!="i") next + P<- Doscaling(P) + PL<-c() + for (J in 0:N){ + PL<- c(PL,P+CL[J+1,]) + } + PL<- matrix(PL,nrow=2) + PL<- t(PL) + if(Same!="no"){ #190405 + if(Same=="n"){ #190405 + Str1<- paste("{\\special{pn 0}\\color[rgb]",Incolor,"%\n",sep="") + cat(Str1,file=Wfile,append=TRUE) + } + Mojisu<-0 + for (J in 1:Nrow(PL)){ + Q<- PL[J,] + X<- as.character(round(MilliIn*Q[1])) + Y<- as.character(-round(MilliIn*Q[2])) + Str<- paste("\\special{pa ",X," ",Y,"}",sep="") + cat(Str,file=Wfile,append=TRUE) + Mojisu<- Mojisu+nchar(Str) + if(Mojisu>80){ + cat("#\n",file=Wfile,append=TRUE) + } + Mojisu=0 + } + Str1<- "\\special{sh}\\special{fp}" #190405from + if(Same=="n"){ + Str1<- paste(Str1,"}",sep="") + } + Str1<- paste(Str1,"%\n",sep="") #190405to + cat(Str1,file=Wfile,append=TRUE) + } + cat("\\special{pn 4}",file=Wfile,append=TRUE) #181231 + Mojisu=0 + for (J in 1:Nrow(PL)){ + Q<- PL[J,] + X<- as.character(round(MilliIn*Q[1])) + Y<- as.character(-round(MilliIn*Q[2])) + Str<- paste("\\special{pa ",X," ",Y,"}",sep="") + cat(Str,file=Wfile,append=TRUE) + Mojisu<- Mojisu+nchar(Str) + if(Mojisu>80){ + cat("#\n",file=Wfile,append=TRUE) + } + Mojisu=0 + } + if(Same=="y"){ + Str1<- paste("\\special{sh",Incolor,"}\\special{fp}%\n",sep="") + }else{ + Str1<- paste("\\special{fp}%\n",sep="") + } + cat(Str1,file=Wfile,append=TRUE) #181230to + } + } +} + +###################################################### + +Drwxy<-function(...){ #180820 + varargin<-list(...) + Nargs <- length(varargin) + Origin=GENTEN + Origins=Doscaling(Origin) #181016 + Xrng=c(XMIN,XMAX) + Yrng=c(YMIN,YMAX) + Tmp1=Doscaling(c(XMIN,YMIN)) #181017from + Tmp2=Doscaling(c(XMAX,YMAX)) + Xrngs=c(Tmp1[1],Tmp2[1]) + Yrngs=c(Tmp1[2],Tmp2[2]) #181017from + Ziku=ZIKU #180821from + Xname=XNAME + Xpos=XPOS + Yname=YNAME + Ypois=YPOS + Oname=ONAME + Opos=OPOS #180821to + for(J in Looprange(1,Nargs)){ + Tmp=strsplit(varargin[[J]],"=") + Tmp=Tmp[[1]] + Tmp1=toupper(substring(Tmp[1],1,1)) + Tmp2=Tmp[2] + if(Tmp1=="O"){ + Origin=eval(parse(text=Tmp2)) + } + if(Tmp1=="X"){ + Xrng=eval(parse(text=Tmp2)) + } + if(Tmp1=="Y"){ + Yrng=eval(parse(text=Tmp2)) + } + if(Tmp1=="A"){ #180821from + if(substring(Tmp2,1,1)=="c"){ + Tmp2=substring(Tmp2,3,nchar(Tmp2)-1) + } + Tmp2=gsub(",","','",Tmp2,fixed=TRUE) + Tmp2=paste("'",Tmp2,"'",sep="") + Tmp=paste("Setax(",Tmp2,")",sep="") + eval(parse(text=Tmp)) #180821to + } + } + Xrng=Xrng+Origin[1] + Yrng=Yrng+Origin[2] + Xrngs=Xrngs+Origins[1] #181016(2lines) + Yrngs=Yrngs+Origins[2] + Tmp<- substring(ZIKU,1,1) #180821 + if(Tmp=="a") + { + Tmp=substring(ZIKU,2,nchar(ZIKU)) + if(nchar(Tmp)==0){Tmp=1}else{Tmp=eval(parse(text=Tmp))} + Arrowline(c(Xrngs[1],Origins[2]),c(Xrngs[2],Origins[2]),Tmp)#181016(2lines) + Arrowline(c(Origins[1],Yrngs[1]),c(Origins[1],Yrngs[2]),Tmp) + } + else + { + Drwline(Listplot(c(Xrngs[1],Origins[2]),c(Xrngs[2],Origins[2])))#181016(2lines) + Drwline(Listplot(c(Origins[1],Yrngs[1]),c(Origins[1],Yrngs[2]))) + } + Letter(c(Xrng[2],Origin[2]),XPOS,XNAME) + Letter(c(Origin[1],Yrng[2]),YPOS,YNAME) + Letter(Origin,OPOS,ONAME) + Setax(Ziku,Xname,Xpos,Yname,Ypois,Oname,Opos) #180821 +} + +########################################## +# 10.12.04 + +Enclosing<- function(...) +{ + Eps=10^(-7) # Scilab 16.12.05 + varargin<- list(...) + Nargs<- length(varargin) + P<- varargin[[1]] + if(Mixtype(P)==2){ + Tmp<- Op(1,P) + if(mode(Tmp)!="numeric" || length(Tmp)>1){ + AnsL<- EnclosingS(...) + AnsL<- Joincrvs(AnsL) # 10.12.04 + } + } + Tmp1=Op(1,AnsL) # Scilab 16.12.05from + Tmp2=Op(nrow(AnsL),AnsL) + if(Norm(Tmp2-Tmp1)>Eps){ + AnsL=Appendrow(AnsL,Tmp1) + } + return(AnsL) +} + +######################################### + +EnclosingS<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + AnsL<- list() + PdataL<- varargin[[1]] + Nall<-length(PdataL) + Eps<- 10^(-3) + EEps<- 0.1 + S<- c() + Flg<- 0 + for (I in Looprange(2,Nargs)){ + Tmp<- varargin[[I]] + if(mode(Tmp)=="numeric" && Nrow(Tmp)==1 && length(Tmp)>1){ + S<- Tmp + } + if(mode(Tmp)=="numeric" && length(Tmp)==1){ + if(Flg==0){ + Eps<- Tmp + Flg=Flg+1 + } + else{ + EEps<- Tmp + } + } + } + F<- Op(1,PdataL); G<- Op(Nall,PdataL) + KL<- IntersectcrvsPp(F,G) + if(length(KL)==1){ + Tmp<- Op(1,KL) + P<- Op(1,Tmp) + T1<- Op(2,Tmp) + } + if(length(KL)==0){ + if(Numptcrv(F)>Numptcrv(G)){ + Tmp<- Nearestpt(F,G) + P<- Op(1,Tmp) + T1=Op(2,Tmp) + } + else{ + Tmp<- Nearestpt(G,F) + P<- Op(3,Tmp) + T1<- Op(4,Tmp) + } + } + if(length(KL)>=2){ + if(length(S)==0){ + return("No Start Point") + } + Tmp<- Op(1,KL) + P<- Op(1,Tmp) + T1<- Op(2,Tmp) + Tmp<- Norm(P-S) + for (I in Looprange(2,length(KL))){ + Tmp1<- Op(1,Op(I,KL)) + Tmp2<- Norm(Tmp1-S) + if(Tmp2<Tmp){ + P<- Tmp1 + T1<- Op(2,Op(I,KL)) + Tmp<- Tmp2 + } + } + } + S<- P + AnsL<- list() + for (N in Looprange(1,Nall)){ + F<- Op(N,PdataL) + if(N>1) P<- Q + if(N==Nall){ + Q=S + } + else{ + Flg<- 0 + G<- Op(N+1,PdataL) + KL<- IntersectcrvsPp(G,F) + if(length(KL)==1){ + Tmp<- Op(1,KL) + Q<- Op(1,Tmp) + T3<- Op(2,Tmp) + Flg<- 10 + } + if(length(KL)==0) Flg<- 1 + if(length(KL)>=2){ # Maple bug? + Tmp1<- Op(1,Op(1,KL)) + Tmp2<- Op(1,Op(2,KL)) + Tmp<- Norm(Tmp1-Tmp2) + if(Tmp<Eps*10) Flg<- 1 + } + if(Flg==1){ + if(Numptcrv(F)>Numptcrv(G)){ + Tmp<- Nearestpt(F,G) + Q<- Op(1,Tmp) + T3<- Op(4,Tmp) + Flg<- 10 + } + else{ + Tmp<- Nearestpt(G,F) + Q<- Op(3,Tmp) + T3<- Op(2,Tmp) + Flg<- 10 + } + } + if(Flg<10){ + T2<- Inf + for (I in Looprange(1,length(KL))){ + Dt<- Op(I,KL) + Tmp1<- Op(1,Dt) + Tmp<- Op(3,Dt) + Tmp2<- Paramoncurve(Tmp1,Tmp,F) + Tmp3<- Op(2,Dt) + if(Tmp2>T1+Eps && Tmp2<T2-Eps){ + Q<- Tmp1 + T2<- Tmp2 + T3<- Tmp3 + } + } + } + } + Tmp<- Partcrv(P,Q,F) + T1<- T3 + AnsL<- Mixjoin(AnsL,list(Tmp)) + } + return(AnsL) +} + +######################################## + +Endpicture<-function(...) +{ + varargin<-list(...) + Nargs<-length(varargin) + if(Nargs==0) + { + Drwxy() + } + else + { + if(varargin[[1]]==1) Drwxy() + } + cat("\\end{picture}}%",file=Wfile,append=TRUE) +# MEMORI<<-MEMORINow*1000/2.54/MilliIn + Setunitlen("1cm") +} + +######################################### + +Execmd<- function(StrL) +{ + if(mode(StrL)=="character" && length(StrL)==1){ + StrL<- list(StrL) + } + for (I in Looprange(1,length(StrL))){ + if(!is.na(Op(I,StrL)) && nchar(Op(I,StrL))>0){ + eval(parse(text=Op(I,StrL))) + } + } +} + +######################################### + +Expr<-function(...) +{ ## Scaling is implemented + varargin<-list(...) + Nargs<-length(varargin) + Irng<-c(seq(from=1,to=Nargs,by=3)) + for (I in Irng) + { + Tmp<-varargin[[I]] + P<- Doscaling(Tmp) + X<-P[1] + Y<-P[2] + Houkou<-varargin[[I+1]] + Mojiretu<-paste("$",varargin[[I+2]],"$",sep="") + Hset<-Houkou + Vhoko<-"c" + if(length(grep("n",Hset))>0) + { + Vhoko<-"n"; Y<-Y+MEMORI + } + if(length(grep("s",Hset))>0) + { + Vhoko<-"s"; Y<-Y-MEMORI + } + Hhoko<-"c" + if(length(grep("e",Hset))>0) + { + Hhoko<-"e"; X<-X+MEMORI + } + if(length(grep("w",Hset))>0) + { + Hhoko<-"w"; X<-X-MEMORI + } + Hoko<-paste(Vhoko,Hhoko,sep="") + Suu<-"+-.0123456789" + SuuL<-Suu + J<-1; Dstr<-"" + while (J<=nchar(Houkou)) + { + Tmp<-substring(Houkou,J,J) + if(length(grep(Tmp,Suu))>0) + { + if(Dstr=="") Hk<-substring(Houkou,J-1,J-1) + Dstr<-paste(Dstr,Tmp,sep="") + } + else + { + if(Dstr!="") + { + Nmbr<-as.numeric(Dstr) + D<-Nmbr*MEMORI + if(Hk=="n") Y<-Y+D + if(Hk=="s") Y<-Y-D + if(Hk=="e") X<-X+D + if(Hk=="w") X<-X-D + Dstr<-"" + } + } + J<-J+1 + } + if(Dstr!="") + { + Nmbr<-as.numeric(Dstr) + D<-Nmbr*MEMORI; + if(Hk=="n") Y<-Y+D + if(Hk=="s") Y<-Y-D + if(Hk=="e") X<-X+D + if(Hk=="w") X<-X-D + } + CalcWidth(Hoko,Mojiretu) + CalcHeight(Hoko,Mojiretu) + cat("\\put(",file=Wfile,append=TRUE) + Tmp1<- sprintf("%7.7f",X) # 11.07.19 + Tmp2<- sprintf("%7.7f",Y) # 11.07.19 + Str<-paste(Tmp1,",",Tmp2,sep="") + cat(Str,file=Wfile,append=TRUE) + Tmp<-"){\\hspace*{\\Width}" + Str<-paste(Tmp,"\\raisebox{\\Height}{",Mojiretu,"}}%\n",sep="") + cat(Str,file=Wfile,append=TRUE) + cat("%\n",file=Wfile,append=TRUE) + } +} + +########################################## + +Exprrot<- function(...) +{ + varargin<- list(...) + P<- varargin[[1]] + V<- varargin[[2]]; N<- 3 + P<- Doscaling(P) + V<- Doscaling(V) + Tmov<- 0 + Tmp<- varargin[[N]] + if(mode(Tmp)=="numeric"){ + Tmov<- Tmp; N<- N+1 + } + Nmov<- 0 + Tmp<- varargin[[N]] + if(mode(Tmp)=="numeric"){ + Nmov<- Tmp; N<- N+1 + } + Mojiretu<- paste("$",Assign(varargin[[N]]),"$",sep="") # 2017.11.26 + Tv<- 1/Norm(V)*V + Nv<- c(-Tv[2],Tv[1]) + P<- P+MEMORI*Tmov*Tv+MEMORI*Nmov*Nv + Tmp<- acos(V[1]/Norm(V)) + Theta<- round(Tmp*180/pi) + if(V[2]>=0){ + Units<- "" + } + else{ + Units<- "units=-360," + } + Tmp<- paste("\\rotatebox[",Units,"origin=c]{",as.character(Theta),sep="") + Tmp<- paste(Tmp,"}{",Mojiretu,"}",sep="") + Letter(P,"c",Tmp) +} + +###################################################### + +Findcell<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + TbL<- varargin[[1]] + Ag<- varargin[[2]] + Alpha<- "-ABCDEFGHIJKLMNOPQRSTUVWXYZ" + if(mode(Ag)=="character"){ + Clm<- c() + Rstr<- "" + for (I in Looprange(1,nchar(Ag))){ + C<- substr(Ag,I,I) + C<- toupper(C) + Tmp<- strsplit(Alpha,C) + Tmp<- Tmp[[1]] + if(length(Tmp)>1){ + Tmp1<- nchar(Tmp[1]) + Clm<- c(Clm,Tmp1) + } + else{ + Rstr<- paste(Rstr,C,sep="") + } + } + Nrg<- 0 + for (I in seq(length(Clm),1,by=-1)){ + Tmp<- Clm[I] + Tmp1<- length(Clm)-I + Nrg<- Nrg+Tmp*26^Tmp1 + } + Mrg<- eval(parse(text=Rstr)) + if(Nargs>=3){ + Ag<- varargin[[3]] + Clm<- c() + Rstr<- "" + for (I in Looprange(1,nchar(Ag))){ + C<- substr(Ag,1,1) + C<- toupper(C) + Tmp<- strsplit(Alpha,C) + if(length(Tmp)>1){ + Clm<- c(Clm,Tmp+1) + } + else{ + Rstr<- paste(Rstr,C,sep="") + } + } + Nrg2<- 0 + for (I in seq(length(Clm),1,by=-1)){ + Tmp<- Clm[I] + Tmp1<- length[Clm]-I + Nrg2<- Nrg2+Tmp*26^Tmp1 + } + Nrg<- c(Nrg,Nrg2) + Tmp=eval(parse(text=Rstr)) + Mrg<- c(Mrg,Tmp) + } + } + else{ + Nrg<- varargin[[2]] + Mrg<- varargin[[3]] + } + if(length(Mrg)==1){ + m1<- Mrg; m2<- m1+1 + } + else{ + m1<- Mrg[1]; m2<- Mrg[2] # 10.12.12 + } + if(length(Nrg)==1){ + n1<- Nrg; n2<- n1+1 + } + else{ + n1<- Nrg[1]; n2<- Nrg[2] + } + n1<- n1+1; n2<- n2+1 + m1<- m1+1; m2<- m2+1 + Hind<- TbL[[2]] + Vind<- TbL[[3]] + Tmp<- TbL[[1]] + HL<- Tmp[Hind] + Tmp1<- Op(1,TbL[[4]]) + Tmp2<- Op(2,TbL[[4]]) + HL<- Mixjoin(list(Tmp1),HL,list(Tmp2)) + VL<- Tmp[Vind] + Tmp1<- Op(1,TbL[[5]]) + Tmp2<- Op(2,TbL[[5]]) + VL<- Mixjoin(list(Tmp1),VL,list(Tmp2)) + Tmp<- TbL[[6]] + Tmp1<- Listplot(c(Ptsw(Tmp),Ptnw(Tmp))) + Tmp2<- Listplot(c(Ptse(Tmp),Ptne(Tmp))) + HL<- Mixjoin(list(Tmp1),HL,list(Tmp2)) + Tmp1<- Listplot(c(Ptnw(Tmp),Ptne(Tmp))) + Tmp2<- Listplot(c(Ptsw(Tmp),Ptse(Tmp))) + VL<- Mixjoin(list(Tmp1),VL,list(Tmp2)) + Tmp<- HL[[n1]] + if(mode(Tmp)=="numeric"){ + H1<- Tmp[1,1] + } + else{ + Tmp1<- Tmp[[1]] + H1<- Tmp1[1,1] + } + Tmp<- HL[[n2]] + if(mode(Tmp)=="numeric"){ + H2<- Tmp[1,1] + } + else{ + Tmp1<- Tmp[[1]] + H2<- Tmp1[1,1] + } + Tmp<- VL[[m1]] + if(mode(Tmp)=="numeric"){ + V1<- Tmp[1,2] + } + else{ + Tmp1<- Tmp[[1]] + V1<- Tmp1[1,2] + } + Tmp<- VL[[m2]] + if(mode(Tmp)=="numeric"){ + V2<- Tmp[1,2] + } + else{ + Tmp1<- Tmp[[1]] + V2<- Tmp1[1,2] + } + Pt<- c((H1+H2)/2,(V1+V2)/2) + High<- (V1-V2)/2 + Wide<- (H2-H1)/2 + Out<- list(Pt,Wide,High) + return(Out) +} + +############################################ + +Flattenlist<- function(...){ + varargin<- list(...) + Nargs<- length(varargin) + Out<- list() + for(N in Looprange(1,Nargs)){ + D<- varargin[[N]] + if(is.data.frame(D) || !is.list(D)){ # modify + Out<- c(Out,list(D)) + } + else{ + for(I in Looprange(1,length(D))){ + Ds<- D[[I]] + Tmp<- Flattenlist(Ds) + Out<- c(Out,Tmp) + } + } + } + return(Out) +} + +############################################ + +Fontsize<- function(Ookisa) +{ + Str<- "%" + S<- substr(Ookisa,1,1) + if(S=="n"){ + Str<- "\\normalsize%" + } + if(S=="s"){ + if(nchar(Ookisa)==1){ + Tmp<- "n" + } + else{ + Tmp<- substr(Ookisa,2,2) + } + if(Tmp=="s"){ + Str<- "\\scriptsize%" + } + else{ + Str<- "\\small%" + } + } + if(S=="f"){ + Str<- "\\footnotesize%" + } + if(S=="t"){ + Str<- "\\tiny%" + } + if(S=="l"){ + Str<- "\\large%" + } + if(S=="L"){ + if(nchar(Ookisa)==1){ + Tmp<- "a" + } + else{ + Tmp<- substr(Ookisa,2,2) + } + if(Tmp=="a"){ + Str<- "\\Large%" + } + else{ + Str<- "\\LARGE%" + } + } + if(S=="h"){ + Str<- "\\huge%" + } + if(S=="H"){ + Str<- "\\Huge%" + } + cat(Str,file=Wfile,append=TRUE) + cat("\n",file=Wfile,append=TRUE) +} + +########################################## + +Fracform<- function(...) +{ + varargin<- list(...) + Eps<- 10^(-10) + Nmax<- 1/Eps + Nargs<- length(varargin) + X<- varargin[[1]] + Nr<- Nrow(X) + X<- as.matrix(X,nrow=Nr) + for (I in Looprange(2,Nargs)){ + Tmp<- varargin[[I]] + if(mode(Tmp)!="numeric"){ + next + } + if(Tmp>1){ + Nmax<- Tmp + } + else if(Tmp>0){ + Eps<- Tmp + } + } + Tmp<- rep("",length(X)) + Out<- matrix(Tmp,nrow=nrow(X)) + for (I in Looprange(1,nrow(X))){ + for (J in Looprange(1,ncol(X))){ + Dt<- X[I,J] + if(mode(Dt)=="character"){ + Dt<- eval(parse(text=Dt)) + } + R<- 1 + N<- 0 + Rmin<- R + Nr<- N + while (R>Eps && N<Nmax){ + N<- N+1 + M<- round(Dt*N) + R<- abs(Dt-M/N) + if(R<Rmin){ + Rmin<- R + Nr<- N + } + } + if(N==Nmax){ + N<- Nr + M<- round(Dt*N) + } + Tmp<- as.character(M) + if(N!=1){ + Tmp<- paste(Tmp,"/",as.character(N),sep="") + } + Out[I,J]<- Tmp + } + } + if(nrow(Out)==1){ + Out<- as.character(Out) + } + return(Out) +} + +############################################## +# 2011.12.17 ( list ) + +Framedata<-function(...) +{ + varargin<- Flattenlist(list(...)) + N<-length(varargin) + if(N<= 1){ + H<- 1.0*10^(-4); + PA<-c(XMIN+H,YMIN+H) + PB<-c(XMAX-H,YMIN+H) + PC<-c(XMAX-H,YMAX-H) + PD<-c(XMIN+H,YMAX-H) + } + else{ + Tmp<-varargin[[N]] + if(is.numeric(Tmp) && length(Tmp)==1){ + Dy<-Tmp; Dx<-Dy + Tmp<-varargin[[N-1]] + if(is.numeric(Tmp) && length(Tmp)==1){ + Dx<-Tmp + } + Tmp<-varargin[[1]] + X<-Tmp[1]; Y<-Tmp[2] + X1<-X-Dx; X2<-X+Dx; Y1<-Y-Dy; Y2<-Y+Dy + } + else{ + Tmp<-varargin[[1]] + X1<-Tmp[1]; X2<-Tmp[2] + Tmp<-varargin[[2]] + Y1<-Tmp[1]; Y2<-Tmp[2] + } + PA<-c(X1,Y1); PB<-c(X2,Y1) + PC<-c(X2,Y2); PD<-c(X1,Y2) + } + Out<- Listplot(c(PA,PB,PC,PD,PA)) + return(Out) +} + +################################### + +Hatchdata<- function(...) +{ ## Scaling is implemented + varargin<- list(...) + ShaL<- list() + Nargs<- length(varargin) + Kakudo<- 45 +# Kankaku<- 0.125*1000/2.54/MilliIn + Kankaku<- 0.25*1000/2.54/MilliIn #180706 + Tmp<- Doscaling(c(XMIN,YMIN)) + Xmn<- Tmp[1]; Ymn<- Tmp[2] + Tmp<- Doscaling(c(XMAX,YMAX)) + Xmx<- Tmp[1]; Ymx<- Tmp[2] + for (N in seq(Nargs,1, by=-1)) + { + Tmp<- varargin[[N]] + if(mode(Tmp)=="list") + { + break + } + } + if(N<Nargs) + { + Kakudo<- varargin[[N+1]] + if(N==Nargs-2) + { + Kankaku<- Kankaku*varargin[[Nargs]] #180716 + } + } + NaitenL<- varargin[[1]] + if(mode(NaitenL)!="list") + { + NaitenL<- list(NaitenL) + } + Ns<- 2 + StartP<- Op(1,NaitenL) + if(mode(StartP)=="character") + { + StartP<- c((Xmn+Xmx)/2, (Ymn+Ymx)/2) + } + if(mode(varargin[[2]])=="numeric") + { + StartP<- varargin[[2]] + StartP<- Doscaling(StartP) + Ns<- 3 + } + Tmp<- list() + for ( I in Looprange(Ns,N)) + { + Tmp1<- list(varargin[[I]]) + Tmp2<- Mixjoin(Tmp, Tmp1) + Tmp<- Tmp2 + } + Bdy<- Kyoukai(Tmp) + Bdys<-list() + for (I in 1:length(Bdy)) + { + Tmp1<- Bdy[[I]] + Tmp2<- Doscaling(Tmp1) + Bdys<- Mixjoin(Bdys,list(Tmp2)) + } + Bdy<- Bdys + PtnL<- list() + for (I in Looprange(1,length(NaitenL))) + { + Tmp<- Op(I, NaitenL) + if(mode(Tmp)=="numeric") + { + Tmp1<- Naigai(Tmp,Bdy) + Tmp2<- Mixjoin(PtnL, list(Tmp1)) + PtnL<- Tmp2 + } + else + { + if(mode(Tmp)!="character") + { + return("Mode Error") + } + Ptn<-c() + for (J in 1:nchar(Tmp)) + { + if(Op(J,Tmp)=="i") + { + Ptn<- c(Ptn,1) + } + else + { + Ptn<- c(Ptn,0) + } + } + PtnL<- Mixjoin(PtnL, list(Ptn)) + } + } + Call<- length(Bdy) + Ptn<- c(seq(0, 0, length=Call)) + if(Member(Ptn,PtnL)) + { + Wn<- Doscaling(Framedata()) + Tmp<- Mixjoin(Bdy,list(Wn)) + Bdy<- Tmp + Tmp<- list() + for (I in Looprange(1, length(PtnL))) + { + Tmp1<- c(Op(I,PtnL),1) + Tmp2<- Mixjoin(Tmp,list(Tmp1)) + Tmp<- Tmp2 + } + PtnL<- Tmp + } + V<- c(cos(Kakudo*pi/180),sin(Kakudo*pi/180)) + Vm<- c(-sin(Kakudo*pi/180),cos(Kakudo*pi/180)) + Tmp<- Op(1,NaitenL) + if(mode(Tmp)=="numeric" && length(Tmp)==2) + { + Tmp<- Doscaling(Tmp) + Delta<- Tmp-StartP + K<- trunc(Dotprod(Delta,Vm)/Kankaku) + PA<- StartP+K*Kankaku*Vm + Sha<- Makeshasen(PtnL,PA,V,Bdy) + I <- 1 + while (length(Sha)>0) + { + Tmp<- Mixjoin(ShaL, list(Sha)) + ShaL <- Tmp + Sha<- Makeshasen(PtnL,PA+I*Kankaku*Vm,V,Bdy) + I <- I+1 + } + Sha<- Makeshasen(PtnL,PA-Kankaku*Vm,V,Bdy) + I<- 2 + while (length(Sha)>0) + { + for (J in 1:length(Sha)) + { + Tmp<- Mixjoin(ShaL,list(Sha[[J]])) + ShaL<- Tmp + } + Sha<- Makeshasen(PtnL,PA-I*Kankaku*Vm,V,Bdy) + I<- I+1 + } + } + else + { + Delta<- c(Xmn,Ymn)-StartP + K1<- trunc(Dotprod(Delta,Vm)/Kankaku) + Delta<- c(Xmx,Ymn)-StartP + K2<- trunc(Dotprod(Delta,Vm)/Kankaku) + Delta<- c(Xmx,Ymx)-StartP + K3<- trunc(Dotprod(Delta,Vm)/Kankaku) + Delta<- c(Xmn,Ymx)-StartP + K4<- trunc(Dotprod(Delta,Vm)/Kankaku) + IM<- max(K1,K2,K3,K4) + Im<- min(K1,K2,K3,K4) + for (I in Im:IM) + { + Sha<- Makeshasen(PtnL,StartP+I*Kankaku*Vm,V,Bdy) + for (J in Looprange(1,length(Sha))) + { + Tmp<- Mixjoin(ShaL, list(Sha[[J]])) + ShaL<- Tmp + } + } + } + ShaLs<-list() + for (I in Looprange(1,length(ShaL))) + { + Tmp<- ShaL[[I]] + Tmp1<- Unscaling(Tmp) + Tmp2<- Mixjoin(ShaLs, list(Tmp1)) + ShaLs<- Tmp2 + } + ShaL<- ShaLs + return(ShaL) +} + +###################################### + +Htickmark<- function(...) +{ ## Scaling is implemented + varargin<- list(...) + Nargs<- length(varargin) + ArgsL<- varargin + if(mode(ArgsL[[1]])=="character"){ + Str<- ArgsL[[1]] + Tmp<- strsplit(Str,"m") + Tmp<- Tmp[[1]] + if(length(Tmp)>1){ + I<- nchar(Tmp[1])+1 + } + else{ + I<- 0 + } + Tmp<- strsplit(Str,"n") + Tmp<- Tmp[[1]] + if(length(Tmp)>1){ + J<- nchar(Tmp[1])+1 + } + else{ + J<- 0 + } + Tmp<- strsplit(Str,"r") + Tmp<- Tmp[[1]] + if(length(Tmp)>1){ + K=nchar(Tmp[1])+1 + } + else{ + K<- 0 + } + if(K>0){ + S<- substr(Str,K+1,nchar(Str)) + R<- as.numeric(S) + if(is.na(R)){ + R<- 1 + } + } + else{ + R<- 1 + K<- nchar(Str)+1 + } + if(J>0){ + S<- substr(Str,J+1,K-1) + Dn<- as.numeric(S) + if(is.na(Dn)){ + Dn<- 1 + } + } + else{ + Dn<- 1000 + J<- nchar(Str)+1 + } + S<- substr(Str,I+1,J-1) + Dm<- as.numeric(S) + if(is.na(Dm)){ + Dm<- 1 + } + ArgsL<- list() + for (I in Looprange(1, floor((XMAX-GENTEN[1])/Dm))){ + ArgsL<- Mixjoin(ArgsL,I*Dm) + if(I-floor(I/Dn)*Dn==0){ + Str<- as.character(I*Dm*R) + ArgsL<- Mixjoin(ArgsL,Str) + } + } + for (I in seq(-1,ceiling((XMIN-GENTEN[1])/Dm),by=-1)){ + ArgsL<- Mixjoin(ArgsL,I*Dm) + if(I-floor(I/Dn)*Dn==0){ + Str<- as.character(I*Dm*R) + ArgsL<- Mixjoin(ArgsL,Str) + } + } + } + MemoriList<- list() + Memori<- list() + for (N in 1:length(ArgsL)){ + Dt<- ArgsL[[N]] + if(mode(Dt)=="numeric" && length(Dt)>1){ + if(length(Memori)>0){ + MemoriList<- Mixjoin(MemoriList,list(Memori)) + } + Memori<- list(Dt[1],Dt[2]) + next + } + if(mode(Dt)=="character"){ + Memori<- Mixjoin(Memori,Dt) + } + else{ + if(length(Memori)>0){ + MemoriList<- Mixjoin(MemoriList,list(Memori)) + } + Memori<- list(Dt,GENTEN[2]) + } + } + MemoriList<- Mixjoin(MemoriList,list(Memori)) + for (N in 1:length(MemoriList)){ + Dt<- MemoriList[[N]] + Ndt<- length(Dt) + X=Op(1,Dt) + Y=Op(2,Dt) + Tmp<-Doscaling(c(X,Y)) + X<- Tmp[1] + Y<- Tmp[2] + Moji<- Op(Ndt,Dt) + Tmp1<- Unscaling(c(X,Y+MARKLEN)) + Tmp2<- Unscaling(c(X,Y-MARKLEN)) + Fd<- Listplot(c(Tmp1,Tmp2)) + Drwline(Fd) + if(Ndt==3){ + Tmp<-Unscaling(c(X,Y-MARKLEN)) + Expr(Tmp,"s",Moji) + } + if(Ndt==4){ + Houkou<- Op(3,Dt) + Tmp<-grep("s",Houkou) + if(length(Tmp)>0){ + Tmp<-Unscaling(c(X,Y-MARKLEN)) + Expr(Tmp,Houkou,Moji) + } + else{ + Tmp<- Unscaling(c(X,Y+MARKLEN)) + Expr(Tmp,Houkou,Moji) + } + } + cat("%\n",file=Wfile,append=TRUE) + } +} + +############################################# +# 2013.08.07 + +Integrate<- function(Fs,Vs, Intv){ + if(is.function(Fs)){ + Fn<- Fs + } + else{ + Str<- paste("Fn<- function(",Vs, ") ", Fs, sep="") + eval(parse(text=Str)) + } + Tmp<- integrate(Fn, Intv[[1]], Intv[[2]]) + Out<- Tmp[[1]] + return(Out) +} + +############################################# + +Intersectcrvs<-function(...) +{ + varargin<-list(...) + Nargs<-length(varargin) + Eps<-10^(-4) + Tmp<-varargin[[Nargs]] + if(mode(Tmp)=="numeric" && length(Tmp)==1) + { + Eps<-Tmp + } + G1<-varargin[[1]] + if(mode(G1)=="numeric") + { + G1<-list(G1) + } + G2<-varargin[[2]] + if(mode(G2)=="numeric") + { + G2<-list(G2) + } + PL<-list() + for (N in 1:length(G1)) + { + for (M in 1:length(G2)) + { + KL<-IntersectcrvsPp(G1[[N]],G2[[M]],Eps) + for (I in Looprange(1,length(KL))) + { + Tmp<-KL[[I]] + P<-Tmp[1] + PL<-append(PL,P) + } + } + } + return(PL) +} + +########################################### + +IntersectcrvsPp<-function(...) +{ + varargin<-list(...) + Nargs<-length(varargin) + G1<-varargin[[1]]; G2<-varargin[[2]] + Eps<- 10.0^(-4) + if(Nargs>2) Eps<-varargin[[3]] + SqEps<- 10.0^(-10) + Eps2<- 0.1 + if(Nargs>3) Eps2<-varargin[[4]] + Data1<-G1 + Data2<-G2 + if(Nrow(Data1)==Nrow(Data2)) + { + Tmp<-seq(Nrow(Data2),1, by=-1) + Tmp1<-Data2[Tmp,] + Eps0<-10^(-6) + Tmp2<-Norm(Data1-Data2) + Tmp3<-Norm(Data1-Tmp1) + if(Tmp2<Eps0||Tmp3<Eps0) + { + KL<-list() + return(KL) + } + } + KL1<-list() + KL2<-list() + for (I in Looprange(1,Nrow(Data1)-1)) + { + A<-Data1[I,] + B<-Data1[I+1,] + for (J in Looprange(1,Nrow(Data2)-1)) + { + P<-Data2[J,]; Q<-Data2[J+1,] + Tmp<-Koutenseg(A,B,P,Q,Eps,Eps2) + if(mode(Tmp)=="list") + { + if(Tmp[[3]]==0) + { + Tmp1<-list(Tmp[[1]],Tmp[[2]],I,J) + KL1<-append(KL1,list(Tmp1)) + } + else + { + Tmp2<-list(Tmp[[1]],Tmp[[2]],I,J) + KL2<-append(KL2, list(Tmp2)) + } + } + } + } + KL<-list() + if(length(KL1)>0) + { + Tmp<-KL1[[1]] + P<-Tmp[[1]] + T<-Tmp[[2]] + I<-Tmp[[3]] + J<-Tmp[[4]] + Tmp<-list(P,I+T,J) + KL<-list(Tmp) + } + for (N in Looprange(2,length(KL1))) + { + Tmp<-KL1[[N]] + P<-Tmp[[1]] + Flg<-0 + for (K in 1:length(KL)) + { + if(1>length(KL)) break + Tmp<-KL[[K]] + if(Norm(P-Tmp[[1]])^2<SqEps) + { + Flg<-1 + break + } + } + if(Flg==0) + { + Tmp<-KL1[[N]] + T<-Tmp[[2]] + I<-Tmp[[3]] + J<-Tmp[[4]] + Tmp<-list(P,I+T,J) + KL<-append(KL,list(Tmp)) + } + } + for (N in Looprange(1,length(KL2))) + { + Tmp<-KL2[[N]] + P<-Tmp[[1]] + Flg<-0 + for (K in Looprange(1,length(KL))) + { + Tmp<-KL[[K]] + if(Norm(P-Tmp[[1]])^2<SqEps) + { + Flg<-1 + break + } + } + if(Flg==0) + { + Tmp<-KL2[[N]] + T<-Tmp[[2]] + T<-min(max(T,0),1) + I<-Tmp[[3]] + J<-Tmp[[4]] + Tmp<-list(P,I+T,J) + KL<-append(KL,list(Tmp)) + } + } + return(KL) +} + +########################################### +# 13.12.20 debugged + +Invdashline<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + Nall<- Nargs; Sen<- 1 ; Gap<- 1 + Tmp<- varargin[[Nall]] + if(is.numeric(Tmp) && length(Tmp)==1 && Tmp>0){ # 13.12.20 + Tmp1<- varargin[[Nall-1]] + if(is.numeric(Tmp1) && length(Tmp1)==1 && Tmp1>0){ # 13.12.20 + Sen<- Tmp1; Gap<- Tmp + Nall<- Nall-2 + } + else{ + Sen<- Tmp; Gap<- Sen + Nall<- Nall-1 + } + } + Sen<- 1000/2.54/MilliIn*Sen + Gap<- 1000/2.54/MilliIn*Gap + for (N in Looprange(1,Nall)){ + Figdata<- varargin[[N]] + Makehasen(Figdata,Sen,Gap,1) + } +} + +######################################### + +Invert<- function(Pd) +{ + OutL=Pd[nrow(Pd):1,] + return(OutL) +} + +############################################ + +InWindow<-function(PA) +{ + Eps<-10.0^(-6); + if((length(PA)==2)&(is.numeric(PA))){ # 17.11.20 + X<-PA[1]; Y<-PA[2]; + if(X>XMIN-Eps && X<XMAX+Eps && Y>YMIN-Eps && Y<YMAX+Eps) + Rx<-"i" + else + Rx<-"o" + return(Rx) + }else{ + return("o") + } +} + +####################################### + +Joincrvs<- function(...) +{ + varargin<- list(...) + Nall<- length(varargin) + Eps<- 10^(-4) + Tmp<- varargin[[Nall]] + if(mode(Tmp)=="numeric" && length(Tmp)==1){ + Eps<- Tmp + Nall<- Nall-1 + } + QdL<- Flattenlist(varargin[1:Nall]) # 11.06.25 + if(length(QdL)==0){ + PtL<-c() + return(PtL) + } + PtL<- Op(1,QdL) + for (I in Looprange(2,length(QdL))){ + Qd<- Op(I,QdL) + if(Numptcrv(Qd)<=1){next} # 11.06.25 + P<- Ptend(PtL) + S<- Ptstart(PtL) + Q<- Ptstart(Qd) + R<- Ptend(Qd) + MN<- min(Norm(P-Q),Norm(P-R),Norm(S-Q),Norm(S-R)) + if(MN==Norm(P-R)){ + Qd<- Invert(Qd) + } + else if(MN==Norm(S-Q)){ + PtL=Invert(PtL) + } + else if(MN==Norm(S-R)){ + PtL<- Invert(PtL) + Qd<- Invert(Qd) + } + if(MN>Eps){ + PtL<- Appendrow(PtL,Qd) + } + else{ + if(is.null(nrow(Qd))){ Qd<- as.matrix(Qd,nrow=1)} + PtL<- Appendrow(PtL,Qd[2:nrow(Qd),]) # 11.06.25 + } + } + return(PtL) +} + +######################################## +# 2011.11.02 + +Joingraphics<- function(...) +{ + varargin<- list(...) + Ls<- Flattenlist(varargin) + N<- length(Ls) + Tp<- Ls[[N]] + Listflg<- 0 + if( is.character(Tp)){ + Tmp<- toupper(substr(Tp,1,1)) + if(Tmp=="L"){ + Listflg<- 1 + } + N<- N-1 + Ls<- Ls[1:N] + } + if(Listflg==1){ + P<- Ls + } + else{ + P<- c() + for (I in 1:N){ + Tmp<- Ls[[I]] + P<- Appendrow(P,c(Inf,Inf)) + P<- Appendrow(P,Tmp) + } + P<- P[2:nrow(P),] + } + return(P) +} + +######################################## + +Kouten<- function(PA,V,P,Q) +{ + Eps<- 10.0^(-6) + A1<- PA[1]; A2<- PA[2] + V1<- V[1]; V2<- V[2] + P1<- P[1]; P2<- P[2] + U1<- Q[1]-P1; U2<- Q[2]-P2 + Tmp<- Norm(P-Q)*Norm(V) + if(Tmp==0) + { + Out<- list(Inf,-Inf) + return(Out) + } + D<- U1*V2-U2*V1 + if(abs(D)/Tmp<Eps) + { + Out<- list(Inf,-Inf) + return(Out) + } + S<- ((-A2+P2)*V1+(A1-P1)*V2)/D + if(S>1+Eps || S<Eps) + { + Out<-list(Inf,-Inf) + return(Out) + } + T<- ((-A2+P2)*U1+(A1-P1)*U2)/D + Tmp<- PA+T*V + Out<- list(T,Tmp,sign(D)) + return(Out) +} + +########################################## + +KoutenList<- function(PA,V,Bdy) +{ + Eps<-10.0^(-6) + TenL<-list() + for (N in 1:length(Bdy)) + { + KL<- Op(N,Bdy) + for (K in Looprange(1, Nrow(KL)-1)) + { + P<- Op(K,KL); Q<- Op(K+1,KL) + if(P!="/" && Q!="/") + { + Tmp<- Kouten(PA,V,P,Q); + if(Tmp[[1]]!=Inf) + { + Ten<- append(Tmp,N) + Flg<- 0 + NN<- length(TenL) + I<- 1 + while (Flg==0 && I<=NN) + { + Tmp<- Op(I,TenL) + if(Op(1,Ten)<Op(1,Tmp)-Eps) + { + Tmp1<- TenL[Looprange(1,I-1)] + Tmp2<- TenL[Looprange(I,length(TenL))] + TenL<- Mixjoin(Tmp1,list(Ten),Tmp2) + Flg<-1 + } + else + if(Op(1,Ten)<Op(1,Tmp)+Eps) + { + if(Op(4,Ten)!=Op(4,Tmp)) + { + Tmp1<- TenL[Looprange(1,I-1)] + Tmp2<- TenL[Looprange(I,length(TenL))] + TenL<- Mixjoin(Tmp1,list(Ten),Tmp2) + Flg<-1 + } + else + if(Op(3,Ten)!=Op(3,Tmp)) + { + Tmp1<- TenL[Looprange(I,I-1)] + Tmp2<- TenL[Looprange(I+1,length(TenL))] + TenL<- Mixjoin(Tmp1,Tmp2) + } + Flg<- 1 + } + I<- I+1 + } + if(Flg==0) + { + TenL<- Mixjoin(TenL,list(Ten)) + } + } + } + } + } + return(TenL) +} + +########################################## + +Koutenseg<-function(...) +{ + #pointdata on AB at which AB intersects CD + varargin<-list(...) + Nargs<-length(varargin) + Eps0 <- 10^(-4) + A<-varargin[[1]]; V<-varargin[[2]]-A + Sv2 <- V[1]^2+V[2]^2 + if(Sv2<10^(-6)) + { + Out<-Inf + return(Out) + } + P<-varargin[[3]]-A; Q<-varargin[[4]]-A + Eps <- 10.0^(-3) + if(Nargs>=5) + { + Eps<-varargin[[5]] + } + Eps2 <- 0.2 + if(Nargs>=6) + { + Eps2<-varargin[[6]] + } + Eps<-min(Eps2,Eps/sqrt(Sv2)) + P1<-(P[1]*V[1]+P[2]*V[2])/Sv2 + P2<-(-P[1]*V[2]+P[2]*V[1])/Sv2 + Q1<-(Q[1]*V[1]+Q[2]*V[2])/Sv2 + Q2<-(-Q[1]*V[2]+Q[2]*V[1])/Sv2 + m1 <- -Eps; M1 <- 1+Eps + m2 <- -Eps; M2 <- Eps + if(max(P1,Q1)<m1 || min(P1,Q1)>M1) + { + Out<-Inf + return(Out) + } + if(max(P2,Q2)<m2 || min(P2,Q2)>M2) + { + Out<-Inf + return(Out) + } + if(P2*Q2<0) + { + T<- P1-(Q1-P1)/(Q2-P2)*P2 + if(T>m1 && T<M1) + { + if(T > -Eps0 && T<1+Eps0) + { + Tmp1<-A+T*V + Tmp2<-min(max(T,0),1) + Out<-list(Tmp1,Tmp2,0) + } + else + { + Tmp1<-A+T*V + Tmp2<-min(max(T,0),1) + Out<-list(Tmp1,Tmp2,1) + } + return(Out) + } + if(P1<m1 || P1>M1 || P2<m2 || P2>M2) + { + if(Q1<m1 || Q1>M1 || Q2<m2 || Q2>M2) + { + Out<-Inf + return(Out) + } + T<-min(max(Q1,0),1) + Tmp=A+T*V + Out<-list(Tmp,T,1) + return(Out) + } + T<-min(max(P1,0),1) + Tmp<-A+T*V + Out<-list(Tmp,T,1) + return(Out) + } + if(P1> -Eps0 && P1<1+Eps0 && P2> -Eps0 && P2 < Eps0) + { + T<- P1 + Tmp<- A+T*V + Out<- list(Tmp, T, 0) + return(Out) + } + if(Q1> -Eps0 && Q1<1+Eps0 && Q2> -Eps0 && Q2<Eps0) + { + T<- Q1 + Tmp<-A+T*V + Out<- list(Tmp,T,0) + return(Out) + } + if(P1<m1 || P1>M1 || P2<m2 || P2>M2) + { + if(Q1<m1 || Q1>M1 || Q2<m2 || Q2>M2) + { + Out<-Inf + return(Out) + } + T<-min(max(Q1,0),1) + Tmp<-A+T*V + Out<-list(Tmp,T,1) + return(Out) + } + if(Q1<m1 || Q1>M1 || Q2<m2 || Q2>M2) + { + T<-min(max(P1,0),1) + Tmp<-A+T*V + Out<-list(Tmp,T,1) + return(Out) + } + if(abs(P2)<abs(Q2)) + { + T<-min(max(P1,0),1) + } + else + { + T<-min(max(Q1,0),1) + } + Tmp<A+T*V + Out<-list(Tmp,T,1) + return(Out) +} + +########################################## + +Kukeiwake<- function(PL) +{ + Eps<-10.0^(-6) + NW<- c(XMIN,YMAX); SW<-c(XMIN,YMIN) + SE<- c(XMAX,YMIN); NE<-c(XMAX,YMAX) + Tmp<-matrix(c(NW,SW,SE,NE,NW),nrow=2) + Sikaku<- t(Tmp) + Kt<- IntersectcrvsPp(PL,Sikaku) + if(length(Kt)!=2) + { + print("not two points") + return(c()) + } + Tmp<- Op(1,Kt) + Pt1<- Op(1,Tmp) + N1<- trunc(Op(2,Tmp)) + M1<- Op(3,Tmp) + Tmp<- Op(2,Kt) + Pt2<- Op(1,Tmp) + N2<- trunc(Op(2,Tmp)) + M2<- Op(3,Tmp) + T1<- Paramoncurve(Pt1,M1,Sikaku) #18.02.06 + T2<- Paramoncurve(Pt2,M2,Sikaku) + QL<c() + if(Norm(Pt1-Op(N1+1,PL))>Eps) + { + QL<-Pt1 + } + Tmp<-Appendrow(QL,PL[(N1+1):N2,]) + QL<- Tmp + if(Norm(Pt2-Op(N2,PL))>Eps) + { + Tmp<-Appendrow(QL,Pt2) + QL<- Tmp + } + HidariL<- QL + Ms<- M2+1; Me<- M1 + if(T1<T2+Eps) Me<- M1+4 + for (M in Looprange(Ms,Me)) + { + Tmp<- Op(Nrow(HidariL),HidariL) + P<-Op(((M-1) %% 4)+1,Sikaku) + if(Norm(Tmp-P)>Eps) + { + Tmp<-Append(HidariL,P) + HidariL<-Tmp + } + } + Tmp<- Op(Nrow(HidariL),HidariL) + if(Norm(Tmp-Pt1)>Eps) + { + Tmp<-Append(HidariL,Pt1) + HidariL<-Tmp + } + MigiL<- QL + Ms<- M2; Me<- M1+1 + if(T1>T2-Eps) Me<- Me-4 + for (Mm in Looprange(Me,Ms)) + { + M<- Me+Ms-Mm + Tmp<- Op(Nrow(MigiL),MigiL) + P<- Op(((M-1) %% 4)+1,Sikaku) + if(Norm(Tmp-P)>Eps) + { + Tmp<-Appendrow(MigiL,P) + MigiL<-Tmp + } + } + Tmp<- Op(Nrow(MigiL),MigiL) + if(Norm(Tmp-Pt1)>Eps) + { + Tmp<-Appendrow(MigiL,Pt1) + MigiL<-Tmp + } + Out<- list(HidariL,MigiL) + return(Out) +} + +################################### +# 17.09.24 Eps + +Kyoukai<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + Eps0<- 10^(-7) + DataL<-list() + for (I in 1:Nargs){ + Tmp<- varargin[[I]] + if(mode(Tmp)=="numeric"){ + DataL<- Mixjoin(DataL,list(list(Tmp))) + } + if(mode(Tmp)=="list"){ + if(mode(Tmp[[1]])!="list"){ + DataL<- Mixjoin(DataL, list(Tmp)) + } + else{ + DataL<-Mixjoin(DataL,Tmp) + } + } + } + Eps<- 10.0^(-4) #17.09.24 + PLall<- list() + Sflg<- 0 + N<- Length(DataL) #180621 + for (I in Looprange(1,N)){ + Data<- Op(I, DataL) + Tmp<- Op(Length(Data),Data) + if(mode(Tmp)=="numeric" && Nrow(Tmp)==1 && Length(Tmp)>1){ #180621 + Rg<-Tmp ; Nd<- Length(Data)-1 #180621 + } + else{ + if(mode(Tmp)=="character"){ + Rg<- Tmp ; Nd<- Length(Data)-1 #180621 + } + else{ + Rg<- "c" ; Nd<- Length(Data) #180621 + } + } + for (J in Looprange(1,Nd)){ + Tmp<- Op(J,Data) + if(mode(Tmp)=="character"){ + Rg<- Tmp + next + } + Points<- Tmp + P1<- Ptstart(Points) + P2<- Ptend(Points) + if(J==1){ + PL<- Points + Pfirst<- P1 + Plast<- P2 + if(Nd>=2){ + Tmp<- Op(2,Data) + P<- Ptstart(Tmp) + Q<- Ptend(Tmp) + if(Norm(P2-P)>Eps && Norm(P2-Q)>Eps){ + Tmp< Length(PL) #180621 + PL<-PL[Tmp:1,] + Pfirst<- Ptstart(PL) + Plast<- Ptend(PL) + } + } + } + else{ + if(Norm(P1-Plast)<Eps){ + Stp<-1; Ks<-2; Ke=Length(Points) #180621 + } + else{ + if(Norm(P2-Plast)<Eps) { + Stp<- -1; Ks<-Length(Points)-1; Ke=1 #180621 + } + else{ + Tmp<-Appendrow(PL,c(Inf,Inf)) + PL<- Appendrow(Tmp,Points) + Sflg<- 1 + Pfirst<- P1 + Plast<- P2 + Stp<- 1; Ks<- Length(Points)-1; Ke<- 1 #180621 + } + } + for (K in seq(Ks,Ke, by=Stp)){ + Tmp<- Appendrow(PL,Op(K,Points)) + PL<-Tmp + } + Plast<- Op(Ke,Points) + } + } + if(Norm(Pfirst-Plast)>Eps){ + Np<- Length(PL) #180621 + if(Rg=="c"){ + Tmp<- Appendrow(PL,Pfirst) + PL<- Tmp + } + else if(Rg=="s"){ + Tmp<- c(PL[1:Np,2],YMIN) + Y<- min(Tmp)-1 + P<- c(Plast[1],Y); Q<- c(Pfirst[1],Y) + Tmp<- Appendrow(PL,P) + Tmp=Appendrow(Tmp,Q) + PL=Appendrow(Tmp,Pfirst) + } + else if(Rg=="n"){ + Tmp<- c(PL[1:Np,2],YMAX) + Y<-max(Tmp)+1 + P<- c(Plast[1],Y); Q<- c(Pfirst[1],Y) + Tmp<- Appendrow(PL,P) + Tmp<- Appendrow(Tmp,Q) + PL<- Appendrow(Tmp,Pfirst) + } + else if(Rg=="w"){ + Tmp<- c(PL[1:Np,1],XMIN) + X<- min(Tmp)-1 + P<- c(X,Plast[2]); Q<- c(X,Pfirst[2]) + Tmp<- Appendrow(PL,P) + Tmp<- Appendrow(Tmp,Q) + PL<- Appendrow(Tmp,Pfirst) + } + else if(Rg=="e"){ + Tmp<- c(PL[1:Np,1],XMAX) + X<- max(Tmp)+1 + P<- c(X,Plast[2]); Q<- c(X,Pfirst[2]) + Tmp<- Appendrow(PL,P) + Tmp<- Appendrow(Tmp,Q) + PL<- Appendrow(Tmp,Pfirst) + } + else if(mode(Rg)=="numeric" && Nrow(Rg)==1 && Length(Rg)>1){ #180621 + Tmp<- Kukeiwake(PL) + Tmp1<- Op(1,Tmp) + Tmp2<- Naigai(Rg,list(Tmp1)) + if(Tmp2==c(1)){ + PL<-Op(1,Tmp) + } + else{ + PL<- Op(2,Tmp) + } + } + } + Tmp<- matrix(Ptstart(PL),nrow=1) #180621 + for (J in Looprange(2,Length(PL))){ + P<- Op(J,PL) + Q<- Op(Length(Tmp),Tmp) + if(Norm(P-Q)>Eps){ + Tmp1<-Appendrow(Tmp,P) + Tmp<-Tmp1 + } + } + PL<-Tmp + PLall<-c(PLall,list(PL)) + } + if(Length(PLall)==1 && Sflg==0){ + Tmp<- Op(1,PLall) +# Tmp<- Op(1,Tmp) + if(Norm(Ptstart(Tmp)-Ptend(Tmp))>Eps0){ + Tmp1<- Appendrow(Tmp,Ptstart(Tmp)) + PLall<- list(Tmp1) + } + } + return(PLall) +} + +###################################### + +Letter<-function(...) +{ ## Scaling is implemented + varargin<-list(...) + Nargs<-length(varargin) + Irng<-c(seq(from=1,to=Nargs,by=3)) + for (I in Irng) + { + Tmp<-varargin[[I]] + P<- Doscaling(Tmp) + X<-P[1] + Y<-P[2] + Houkou<-varargin[[I+1]] + Mojiretu<-varargin[[I+2]] + Hset<-Houkou + Vhoko<-"c" + if(length(grep("n",Hset))>0) + { + Vhoko<-"n"; Y<-Y+MEMORI + } + if(length(grep("s",Hset))>0) + { + Vhoko<-"s"; Y<-Y-MEMORI + } + Hhoko<-"c" + if(length(grep("e",Hset))>0) + { + Hhoko<-"e"; X<-X+MEMORI + } + if(length(grep("w",Hset))>0) + { + Hhoko<-"w"; X<-X-MEMORI + } + Hoko<-paste(Vhoko,Hhoko,sep="") + Suu<-"+-.0123456789" + SuuL<-Suu + J<-1; Dstr<-"" + while (J<=nchar(Houkou)) + { + Tmp<-substring(Houkou,J,J) + if(length(grep(Tmp,SuuL))>0) + { + if(Dstr=="") Hk<-substring(Houkou,J-1,J-1) + Dstr<-paste(Dstr,Tmp,sep="") + } + else + { + if(Dstr!="") + { + Nmbr<-as.numeric(Dstr) + D<-Nmbr*MEMORI + if(Hk=="n") Y<-Y+D + if(Hk=="s") Y<-Y-D + if(Hk=="e") X<-X+D + if(Hk=="w") X<-X-D + Dstr<-"" + } + } + J<-J+1 + } + if(Dstr!="") + { + Nmbr<-as.numeric(Dstr) + D<-Nmbr*MEMORI; + if(Hk=="n") Y<-Y+D + if(Hk=="s") Y<-Y-D + if(Hk=="e") X<-X+D + if(Hk=="w") X<-X-D + } + CalcWidth(Hoko,Mojiretu) + CalcHeight(Hoko,Mojiretu) + cat("\\put(",file=Wfile,append=TRUE) + Tmp1<- sprintf("%7.7f",X) # 11.07.19 + Tmp2<- sprintf("%7.7f",Y) # 11.07.19 + Str<-paste(Tmp1,",",Tmp2,sep="") + cat(Str,file=Wfile,append=TRUE) + Tmp<-"){\\hspace*{\\Width}" + Str<-paste(Tmp,"\\raisebox{\\Height}{",Mojiretu,"}}%\n",sep="") + cat(Str,file=Wfile,append=TRUE) + cat("%\n",file=Wfile,append=TRUE) + } +} + +###################################################### + +Letterrot<- function(...) +{ + varargin<- list(...) + P<- varargin[[1]] + V<- varargin[[2]]; N<- 3 + P<- Doscaling(P) + V<- Doscaling(V) + Tmov<- 0 + Tmp<- varargin[[N]] + if(mode(Tmp)=="numeric"){ + Tmov<- Tmp; N<- N+1 + } + Nmov<- 0 + Tmp<- varargin[[N]] + if(mode(Tmp)=="numeric"){ + Nmov<- Tmp; N<- N+1 + } + Mojiretu<- Assign(varargin[[N]]) #2017.11.26 + Tv<- 1/Norm(V)*V + Nv<- c(-Tv[2],Tv[1]) + P<- P+MEMORI*Tmov*Tv+MEMORI*Nmov*Nv + Tmp<- acos(V[1]/Norm(V)) + Theta<- round(Tmp*180/pi) + if(V[2]>=0){ + Units<- "" + } + else{ + Units<- "units=-360," + } + Tmp<- paste("\\rotatebox[",Units,"origin=c]{",as.character(Theta),sep="") + Tmp<- paste(Tmp,"}{",Mojiretu,"}",sep="") + Letter(P,"c",Tmp) +} + +################################### +# 10.12.04 + +Lineplot<-function(...) +{ + varargin <- list(...) + Nargs<-length(varargin) + A<-varargin[[1]] + if(is.numeric(A)) { + Tmp<-length(A) + if(Tmp>3) { + B <- A[(Tmp/2+1):Tmp] + A <- A[1:(Tmp/2)] + Is <- 2 + } + else { + B<-varargin[[2]] + Is <- 3 + } + } + else { + B<-A[[2]] + A<-A[[1]] + Is <- 2 + } + Mag <- 100 ; Semi <- "" ## 10.12.04 + for (I in Looprange(Is,Nargs)) { + Tmp <- varargin[[I]] + switch ( mode(Tmp), + "numeric"= Mag <- Tmp, + "character"= Semi <- Tmp + ) + } +V<- Mag/Norm(B-A)*(B-A) ## 10.12.04 from here + if(Semi=="") { + Out<- Listplot(c(A-V,A+V)) + } + else if(Semi=="+") { + Out<- Listplot(c(A,A+V)) + } + else { + Out<- Listplot(c(A-V,A)) + } ## 10.12.04 to here + return(Out) +} + +################################ + +Listplot<-function(...){ + varargin<-list(...); + Z<-c(); + for (I in 1:length(varargin)){ + Data<-varargin[[I]]; + if(mode(Data)=="numeric"){ + if(class(Data)=="numeric"){ + Tmp<- matrix(Data,nrow=2); + Tmp<- t(Tmp); + Z<-Appendrow(Z,Unscaling(Tmp)) #181015 + }else{ + Z<-Appendrow(Z,Unscaling(Data)) #181015 + } + }else{ + for (J in 1:length(Data)){ + Tmp<-Data[[J]]; + Z<-Appendrow(Z,Unscaling(Tmp)) #181015 + } + } + } + return(Z) +} + +############################## + +MakeBowdata <- function(PA,PB,H) +{ + Eps <- 10^(-5) + BOWSTART <<- PA + BOWEND <<- PB + D <- 1/2*Norm(PB-PA) + R <- (H^2+D^2)/(2*H) + A1 <- PA[1]; A2<-PA[2] + B1 <- PB[1]; B2<-PB[2] + if(abs(A2-B2)>Eps){ +# x <- poly(0,"X") +# y <- -(A1-B1)*x/(A2-B2)+(1/2)*(A1^2+A2^2-B1^2-B2^2)/(A2-B2) +# Eq1 <- (A1-x)^2+(A2-y)^2-R^2 +# Tmp <- coeff(Eq1) +# C0 <- Tmp[1]; C1<-Tm[2]; C2<-Tmp[3] + C0<- A1^2+(A2-(1/2)*(A1^2+A2^2-B1^2-B2^2)/(A2-B2))^2-R^2 + C1<- -(A1+B1)*(A2^2+B2^2-2*A2*B2-2*A1*B1+A1^2+B1^2)/(A2-B2)^2 + C2<- 1+(A1-B1)^2/(A2-B2)^2 + Det <- sqrt(C1^2-4*C0*C2) + Ansx1 <- (-C1+Det)/(2*C2) + Ansx2 <- (-C1-Det)/(2*C2) + Tmp <- -(A1-B1)*Ansx1/(A2-B2)+(1/2)*(A1^2+A2^2-B1^2-B2^2)/(A2-B2) + PC <- c(Ansx1,Tmp) + Tmp <--(A1-B1)*Ansx2/(A2-B2)+(1/2)*(A1^2+A2^2-B1^2-B2^2)/(A2-B2) + PC2 <- c(Ansx2,Tmp) + } + else{ + Tmp <- 0.5*(PA+PB) + PC <- Tmp+c(0,R-H) # 11.06.02 + PC2 <- Tmp-c(0,R-H) + } + VA <- PA-PC + VB <- PB-PC + if(VA[1]*VB[2]-VA[2]*VB[1]<0) { + PC <- PC2 + } + AngA <- acos((PA[1]-PC[1])/R) + if(PA[2]-PC[2]<0){ + AngA <- -AngA + } + AngB <- acos((PB[1]-PC[1])/R) + if(PB[2]-PC[2]<0){ + AngB <- -AngB + } + if(AngA>AngB) { + AngB <- AngB+2*pi + } + Out <- list(PC,R,AngA,AngB) + return(Out) +} + +#################################################### + +MakeCurves<-function(...){ ## Scaling is implemented + varargin<-list(...) + Figdata<-varargin[[1]] + if(class(Figdata)=="numeric"){ + Figdata<-matrix(Figdata,nrow=1) + } + Ptout<-1 + if(length(varargin)>=2) Ptout<-varargin[[2]] + Eps<-10.0^(-6) + IndM<-Dataindex(Figdata) + Atos<-c() + for (Nd in Looprange(1,Nrow(IndM))){ #180509 + Tmp<-IndM[Nd,] + Motos<- Figdata[Tmp[1]:Tmp[2],] + All<-Nrow(Motos) + if(Nrow(Motos)==1){ + if(InWindow(Motos)=="o"){ + next + } + Tmp1<- as.numeric(Motos) + Tmp1=list(Tmp1) #190405 + if(Ptout==1){ + Drwpt(Tmp1) + } + else{ + Tmp1<- Doscaling(Tmp1) + Atos<-Appendrow(Atos,c(Inf,Inf),Tmp1) + next + } + } + Crv<-c() + for (I in Looprange(2,All)){ + P<- Op(I-1,Motos) + Q<- Op(I,Motos) + Snbn<-MeetWindow(P,Q) + if(length(Snbn)==0){ + if(length(Crv)>0){ + Atos<-Appendrow(Atos,c(Inf,Inf),Doscaling(Crv)) + Crv<-c() + } + } + else{ + if(Norm(Snbn[1,]-Snbn[2,])<Eps){ next} # naosi 101202 + if(length(Crv)==0){ + Crv<-Snbn + } + else{ + Tmp<-Op(Nrow(Crv),Crv) + if(Norm(Tmp-Op(1,Snbn))<Eps){ + Crv<-Appendrow(Crv,Op(2,Snbn)) + } + else{ + Atos<-Appendrow(Atos,c(Inf,Inf),Doscaling(Crv)) + Crv<-Snbn + } + } + } + } + if(Nrow(Crv)>=2) + { + Atos<-Appendrow(Atos,c(Inf,Inf),Doscaling(Crv)) + } + } + Outdata<-Atos[2:Nrow(Atos),] + if(class(Outdata)=="numeric") + { + Outdata<-matrix(Outdata,nrow=1) + } + return(Outdata) +} + +###################################### + +Makehasen<- function(Figdata,Sen,Gap,Ptn) +{ + Eps<- 10.0^(-6) + Clist<- MakeCurves(Figdata) + DinM<- Dataindex(Clist) + for (N in Looprange(1,Nrow(DinM))){ + Tmp<- DinM[N,] + Data<- Clist[Tmp[1]:Tmp[2],] + Dtall<- Nrow(Data) + Len<- 0 + Lenlist<- c(0) + for (I in Looprange(2,Dtall)){ + Len<- Len+Norm(Data[I,]-Data[I-1,]) + Lenlist<- c(Lenlist,Len) + } + Lenall<- Lenlist[Dtall] + if(Lenall==0){ + next + } + Kari<- (Sen+Gap)*0.1 + Naga<- Sen*0.1 + Tobi<- Gap*0.1 + if(Norm(Data[1,]-Data[Dtall,])<Eps){ + Nsen<- max(ceiling(Lenall/Kari),3) + SegUnit<- Lenall/Nsen + Naga<- SegUnit*Sen/(Sen+Gap) + Tobi<- SegUnit*Gap/(Sen+Gap) + SegList<- c(seq(0,(Nsen-1)*SegUnit,by=SegUnit)) + } + else{ + if(Ptn==0){ + Nsen<- max(ceiling((Lenall+Tobi)/Kari),3) + SegUnit<- Lenall*(Sen+Gap)/(Nsen*Sen+(Nsen-1)*Gap) + Naga<- SegUnit*Sen/(Sen+Gap) + Tobi<- SegUnit*Gap/(Sen+Gap) + SegList<- c(seq(0,(Nsen-1)*SegUnit,by=SegUnit)) + } + else{ + Nsen<- max(ceiling((Lenall+Naga)/Kari),3) + SegUnit<- Lenall*(Sen+Gap)/((Nsen-1)*Sen+Nsen*Gap) + Naga<- SegUnit*Sen/(Sen+Gap) + Tobi<- SegUnit*Gap/(Sen+Gap) + SegList<- c(seq(Tobi,Tobi+(Nsen-2)*SegUnit,by=SegUnit)) + } + } + Hajime<- 1; Owari<- 1 + Mojisu<- 0 + for (I in Looprange(1,length(SegList))){ + Len<- SegList[I] + J<- Owari + while (Len>=Lenlist[J]-Eps){ + if(J==Dtall){ + break + } + J<- J+1 + } + Hajime<- J-1 + J<- Hajime + while (Len+Naga>Lenlist[J]-Eps){ + if(J==Dtall){ + break + } + J<- J+1 + } + Owari<- J-1 + T<- (Len-Lenlist[Hajime]) + T<- T/(Lenlist[Hajime+1]-Lenlist[Hajime]) + P<- Data[Hajime,]+T*(Data[Hajime+1,]-Data[Hajime,]) + X<- as.character(round(MilliIn*P[1])) + Y<- as.character(-round(MilliIn*P[2])) + Str<- paste("\\special{pa ",X," ",Y,"}",sep="") + cat(Str,file=Wfile,append=TRUE) + Mojisu<- Mojisu+nchar(Str) + for (J in Looprange(Hajime+1,Owari)){ + P<- Data[J,] + X<- as.character(round(MilliIn*P[1])) + Y<- as.character(-round(MilliIn*P[2])) + Str<- paste("\\special{pa ",X," ",Y,"}",sep="") + cat(Str,file=Wfile,append=TRUE) + Mojisu<- Mojisu+nchar(Str) + } + T<- (Len+Naga-Lenlist[Owari]) + T<- T/(Lenlist[Owari+1]-Lenlist[Owari]) + P<- Data[Owari,]+T*(Data[Owari+1,]-Data[Owari,]) + X<- as.character(round(MilliIn*P[1])) + Y<- as.character(-round(MilliIn*P[2])) + Str1<- paste("\\special{pa ",X," ",Y,"}",sep="") + Str2<- "\\special{fp}" + cat(Str1,file=Wfile,append=TRUE) + cat(Str2,file=Wfile,append=TRUE) + Mojisu<- Mojisu+nchar(Str1)+nchar(Str2) + if(Mojisu>80){ + cat("%\n",file=Wfile,append=TRUE) + Mojisu<- 0 + } + } + } + cat("%\n%\n",file=Wfile,append=TRUE); +} + +###################################### + +Makeliststr<- function(L) +{ + Out="list(" + for (I in 1:length(L)){ + Dt<- L[[I]] + if(mode(Dt)=="numeric"){ + if(length(Dt)==1){ + Dts<- as.character(Dt) + } + else{ + Dts<- "c(" + for (J in Looprange(1,Nrow(Dt))){ + for (K in 1:ncol(Dt)){ + Dts<- paste(Dts,as.character(Dt[J,K]),sep="") + if(K< ncol(Dt)){ + Dts<- paste(Dts,",",sep="") + } + } + if(J<Nrow(Dt)){ + Dts<- paste(Dts,";",sep="") + } + else{ + Dts<- paste(Dts,")",sep="") + } + } + } + } + if(mode(Dt)=="character"){ + Dts<- paste(Prime(),Dt,Prime(),sep="") + } + if(mode(Dt)=="list"){ + Dts<- Makeliststr(Dt) + } + Out<- paste(Out,Dts,sep="") + if(I<length(L)){ + Out<- paste(Out,",") + } + else{ + Out<- paste(Out,")",sep="") + } + } + return(Out) +} + +############################################ + +Makeshasen<- function(PtnL,PA,V,Bdy) +{ + Eps<- 10^(-6) + TenL<- KoutenList(PA,V,Bdy) + Nten<- length(TenL) + Call<- length(Bdy) + Ptn<- c(seq(0, 0, length=Call)) + Out<- list() + GL<- c() + Te<- -10^6 + for (I in Looprange(1,Nten-1)){ + TenP<- Op(I,TenL); TenQ<- Op(I+1,TenL) + Ts<- Op(1,TenP) + P<- Op(2,TenP); Q<- Op(2,TenQ) + NC<- Op(4,TenP) + Tmp<- (Op(NC,Ptn)+1) %% 2 + Ptn[NC]<- Tmp + if(Op(1,TenQ)-Ts>Eps){ + if(Member(Ptn,PtnL)){ + if(abs(Te-Ts)>Eps){ + if(Nrow(GL)>0){ + Tmp<- Mixjoin(Out, list(GL)) + Out<- Tmp + } + GL<- Listplot(P,Q) + } + else{ + Tmp <- Appendrow(GL, Q) + GL<- Tmp + } + Te<- Op(1,TenQ) + } + } + } + if(Nrow(GL)>0){ + Tmp<- Mixjoin(Out, list(GL)) + Out<- Tmp + } + return(Out) +} + +############################################# + +Mawarikomi<- function(...) +{ + varargin<- list(...) + haba<- "10cm" + Nargs<- length(varargin) + if(Nargs>0){ + haba<- varargin[[1]] + } + cat("\\begin{mawarikomi}%\n",file="",append=TRUE) + cat("%<1>[5](0,0)%\n",file="",append=TRUE) + Str<- paste("{",haba,"}{%\n",sep="") + cat(Str,file="",append=TRUE) + cat("}%\n",file="",append=TRUE) + cat("\\end{mawarikomi}",file="",append=TRUE) +} + +############################################## + +MeetWindow<-function(PA,PB) +{ + if(InWindow(PA)=="i" && InWindow(PB)=="i") + { + R<-Appendrow(PA,PB) + return(R) + }; + Horner<-function(n,t) + { + PT<-(1-t)*PA+t*PB; + return(PT[n]) + } + Eps<-10.0^(-6); + Txm<-(-1); TxM<-(-1); Tym<-(-1); TyM<-(-1); + if(PA[1]!=PB[1]) + { + Txm<-(XMIN-PA[1])/(PB[1]-PA[1]); + TxM<-(XMAX-PA[1])/(PB[1]-PA[1]); + } + if(PA[2]!=PB[2]) + { + Tym<-(YMIN-PA[2])/(PB[2]-PA[2]); + TyM<-(YMAX-PA[2])/(PB[2]-PA[2]); + } + Tmp<-Horner(2,Txm); + if(Tmp<YMIN-Eps || Tmp>YMAX+Eps) + { + Txm<-(-1); + } + Tmp<-Horner(2,TxM); + if(Tmp<YMIN-Eps || Tmp>YMAX+Eps) + { + TxM<-(-1) + } + Tmp<-Horner(1,Tym); + if(Tmp<XMIN-Eps || Tmp>XMAX+Eps) + { + Tym<--1 + } + Tmp<-Horner(1,TyM); + if(Tmp<XMIN-Eps || Tmp>XMAX+Eps) + { + TyM<--1 + } + Tans<-sort(c(Txm,TxM,Tym,TyM)); + Tmp<-c(); + for (I in 1:length(Tans)) + { + Tmp1<-Tans[I]; + if(Tmp1>-Eps && Tmp1<1+Eps) + { + if(length(Tmp)==0) + { + Tmp<-c(Tmp1); + } + else + { + if(abs(Tmp[length(Tmp)]-Tmp1)>Eps) + { + Tmp<-c(Tmp,Tmp1) + } + } + } + } + Tans<-Tmp; + if(length(Tans)==0) + { + R<-c(); + return(R); + } + if(length(Tans)==1) + { + Ten1<-Horner(1:2,Tans[1]); + if(InWindow(PA)=="i") + { + R<-Appendrow(PA,Ten1) + return(R) + } + else + { + R<-Appendrow(Ten1,PB) + return(R) + } + } + Ten1<-Horner(1:2,Tans[1]) + Ten2<-Horner(1:2,Tans[2]) + R<-Appendrow(Ten1,Ten2) + return(R) +} + +######################################### + +# New 10.03.21 + +Mixjoin<-function(...) +{ + varargin<-list(...) + Nargs<- length(varargin) + M<- list() + for (I in 1:Nargs) + { + Tmp<-varargin[[I]] + if(length(Tmp)==0) next + if(Mixtype(Tmp)==1) + { + Tmp<-list(Tmp) + } + if(length(M)==0){ + M <- Tmp + } + else{ + M<- c(M,Tmp) + } + } + return(M) +} + +################################# + +Mixlength<- function(PL){ + if(length(PL)==0){ + return(0) + } + if(Mixtype(PL)==1){ + Out<- Nrow(PL) + } + else{ + Out<- length(PL) + } + return(Out) +} + +########################################### + +Mixtype<- function(D) +{ + if(mode(D)!="list") return(1) + for (I in 1:length(D)) + { + Tmp<- D[[I]] + if(mode(Tmp)=="list") return(3) + } + return(2) +} + +########################################### + +Naigai<- function(A,Bdy) +{ + V<- c(1,1) + Call<-length(Bdy) + KL<- KoutenList(A,V,Bdy) + Ptn<- seq(1,1,length=Call) + for (K in Looprange(1,length(KL))) + { + Ten<- Op(K,KL) + T<- Op(1,Ten); NC<- Op(4,Ten) + if(T<0) + { + Tmp<- (Ptn[NC]+1) %% 2 + Ptn[NC]<- Tmp + } + } + return(Ptn) +} + +######################################## + +Nearestpt<- function(...){ + varargin<- list(...) + Nargs<- length(varargin) + PL1<- varargin[[1]] + if(!is.matrix(PL1)){ + Tmp<- matrix(PL1); + PL1<- t(Tmp) + } + if(Nrow(PL1)==1) Flg=0 + else Flg=1 + Eps<- 10.0^(-6) + PL<- varargin[[2]] + Ans<- list(PL1[1,],1,PL[1,],1,Norm(PL1[1,]-PL[1,])) + for(N in Looprange(1,Nrow(PL1))){ + PA<- PL1[N,] + Pm<- PL[1,] + Im<- 1 + Sm<- Norm(Pm-PA) + for(I in Looprange(1,Nrow(PL)-1)){ + A1<- PL[I,1]; A2<-PL[I,2] + B1<- PL[I+1,1]; B2<-PL[I+1,2] + V1<- B1-A1; V2<-B2-A2 + X1<- PA[1]; X2<-PA[2] + Tmp<-V2^2+V1^2 + if(abs(Tmp)<Eps) next + T<- (-A2*V2-V1*A1+V1*X1+X2*V2)/Tmp + if(T< -Eps){ + P<- c(A1,A2) + }else{ + if(T>1+Eps){ + P<- c(B1,B2) + }else{ + P<- c(A1+T*V1,A2+T*V2) + } + } + S<- Norm(P-PA) + if(S<Sm-Eps){ + Tmp<- Paramoncurve(P,I,PL) + Pm<- P; Im<- Tmp; Sm<- S + } + } + if(Sm<Op(5,Ans)) Ans<- list(PA,N,Pm,Im,Sm) + if(Flg==0){ + Ans<- Ans[3:5] + } + } + return(Ans) +} + +######################################### + +Newlength<- function() +{ + Tmp1<- "\\newlength{\\Width}%\n" + Tmp2<- "\\newlength{\\Height}%\n" + Tmp3<- "\\newlength{\\Depth}%\n" + cat(Tmp1,file="",append=TRUE); + cat(Tmp2,file="",append=TRUE); + cat(Tmp3,file="",append=TRUE); +} + +######################################### + +Numptcrv<-function(Fig) +{ + return(Nrow(Fig)) +} + +# 2018.01.29 +Length<- function(Data){ + if(is.matrix(Data)){return(nrow(Data))} + if(is.character(Data)){return(nchar(Data))} + return(length(Data)) +} + +######################################### + +Op<-function(N,Data) +{ + C <- c() + if(length(Data)==0) return(C) + if(mode(Data)=="list"){ + if(class(Data)=="data.frame"){ # 10.02.23 + C<- Data[N,] + } + else{ + C<- Data[[N]] + } + return(C) + } + if(mode(Data)=="character"){ + if(length(Data)==1){ + C<- substring(Data,N,N) + } + else{ + C<- Data[N] + } + return(C) + } + if(mode(Data)=="numeric"){ + if(class(Data)=="matrix"){ + Din<- Dataindex(Data) + if(nrow(Din)==1){ + C<- Data[N,] + } + else{ + Tmp1<- Din[N,1] + Tmp2<- Din[N,2] + C<- Data[Tmp1:Tmp2,] + } + } + else{ + C=Data[N] + } + } + return(C) +} + +######################################### +# 2013.05.20 Changed ( Creator recorded) +# 2013.12.18 Beginpicture inclued + +Openfile<-function(...) +{ + varargin<- list(...) + File<- varargin[[1]] + Bflg<- 0 + Wfile<<- File + Creator<- "" + Cflg<- 0 + Nargs<- length(varargin) + for(N in Looprange(2,Nargs)){ + Tmp<- varargin[[N]] + Tmp1<- strsplit(Tmp,"=",fixed=TRUE) + Tmp1<- Tmp1[[1]] + if(length(Tmp1)>1){ + Creator<- Tmp1[2] + Cflg<- 1 + } + else{ + Unitstr<- Tmp + Bflg<- 1 + } + } + Recentf<- "" + Fv<- list.files() + Nv<- grep("\\.r$", Fv) + Rfiles<- Fv[Nv] + StrW<- paste("%%% ",File,sep="") #17.10.28 + StrC<- paste("%%% Generator=",Creator,sep="") + if(Cflg==0){ + } + cat(StrW,"\n",file=Wfile) + cat(StrC,"\n",file=Wfile,append=TRUE) + if(Bflg==1){ + Beginpicture(Unitstr) + } +} + +######################################### + +Openpar<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + Tmp<- varargin[[1]] + Tmp1<- substr(Tmp,1,1) + if(Tmp1=="\\"){ + Namestr<- Tmp + N<- 2 + } + else{ + Namestr<- "\\tmp" + N<- 1 + } + Habastr<- varargin[[N]] + if(Nargs>N){ + Posstr<- paste("[",varargin[[N+1]],"]",sep="") + } + else{ + Posstr<- "[c]" + } + Openphr(Namestr) + S<- paste("\\begin{minipage}",Posstr,"{",Habastr,"}%\n",sep="") + cat(S,file=Wfile,append=TRUE) +} + +################################### + +Openphr<- function(Str) +{ + S<- paste("\\def",Str,"{%\n",sep="") + cat(S,file=Wfile,append=TRUE) +} + +##################################### + +Ovalbox<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + Pos<- varargin[[1]] + Dr<- varargin[[2]] + StrV<- varargin[[3]] + R<- 0.2 + NDflg<- 0 + for (I in Looprange(4,Nargs)){ + Tmp<- varargin[[I]] + if(mode(Tmp)=="numeric"){ + R<- Tmp + } + else{ + if(substr(Tmp,1,1)=="-"){ + NDflg<- 1 + Tmp1<- substr(Tmp,2,nchar(Tmp)) + Cmdstr<- chartr("*","G",Tmp1) + } + } + } + Xr<- c(XMIN,XMAX) + Yr<- c(YMIN,YMAX) + Uv<- 0.6; Uh<- 0.8 + N<- nchar(StrV) + W<- Uh;H<- Uv*N + Setwindow(c(-W/2,W/2),c(-H,0)) + G<- Ovaldata(c(0,-H/2),W/2,H/2,R) + Openphr("\\ketpictmp") + Beginpicture("1cm") + if(NDflg==0){ + Drwline(G) + } + else{ + eval(parse(text=Cmdstr)) + } + for (I in Looprange(1,N)){ + Letter(c(0,Uv/2-Uv*I),"c",Op(I,StrV)) + } + Endpicture(0) + Closephr() + Setwindow(Xr,Yr) + Letter(Pos,Dr,"\\ketpictmp") +} + +########################################## + +Ovaldata<- function(...) #17.09.11 +{ + varargin<- list(...) + Nargs<- length(varargin) + if(Nargs==1){ + Eps<- 1.0*10^(-4) + C<- c((XMIN+XMAX)/2,(YMIN+YMAX)/2) + Dx<- XMAX-C(1)-Eps + Dy<- YMAX-C(2)-Eps + N<- 1 + } + else{ + C<- varargin[[1]] + Dx<- varargin[[2]] + Dy<- varargin[[3]] + N<- 4 + } + Rc<- 0.2 + if(N<=Nargs){ #15.11.15 + Rc<- varargin[[N]]*Rc #15.11.15 + } + Out<- c() + P<- C+c(Dx-Rc,Dy-Rc) + Tmp1<- Circledata(c(P,Rc),"R=c(0,pi/2)","N=10") #17.11.29 + Tmp2<- Listplot(C+c(Dx-Rc,Dy),C+c(0,Dy)) + Tmp3<- Listplot(C+c(Dx,0),C+c(Dx,Dy-Rc)) + G<- Joincrvs(Tmp3,Tmp1,Tmp2) + Tmp<- Reflectdata(G,c(C,C+c(0,1))) + G<- Joincrvs(G,Tmp) + Tmp<- Reflectdata(G,c(C,C+c(1,0))) + Out<- Joincrvs(G,Tmp) +} + +######################################### + +Paramark<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + PA<- varargin[[1]] + PB<- varargin[[2]] + PC<- varargin[[3]] + R<- 0.5 + if(Nargs>=4){ + R<- varargin[[4]]*R + } + U<- R*(PA-PB)/Norm(PA-PB) + V<- R*(PC-PB)/Norm(PC-PB) + if(Crossprod(PA-PB,PC-PB)!=0){ + P<- Listplot(c(PB+U,PB+U+V,PB+V)) + } + else{ + P<- c() + } +} + +########################################### + +Paramoncurve<-function(...){ + varargin<-list(...) + Nargs<-length(varargin) + Eps<-10^(-8) + P<-varargin[[1]] + Gdata<-varargin[[Nargs]] + if(Nrow(P)>1){ + Tmp<-P; P<-Gdata; Gdata<-Tmp + } + if(Nargs==2){ + Tmp<-Nearestpt(P,Gdata) + Out<-Tmp[[2]] + return(Out) + } + N<-varargin[[2]] + PtL<-Gdata + N=min(N,Length(PtL)-1) #18.02.11from + Pa<-Ptcrv(N,PtL) + Pb<-Ptcrv(N+1,PtL) + V<-Pb-Pa + W<-P-Pa + D2<-Norm(V)^2 + if(D2<Eps) return(0) + S<-Dotprod(V,W)/D2 + S<-min(max(S,0),1) + Out=N+S #18.02.11until + return(Out) +} + +############################################## + +Paramplot<- function(...) +{ + varargin<- list(...) + Eps<- 10^(-5) + Nargs<- length(varargin) + Fnflg<- 0 + Fnstr<- varargin[[1]]; Is=2 + Rgstr<- varargin[[Is]]; Is<- Is+1 + Tmp=strsplit(Rgstr,"=") #181017from + Var=Tmp[[1]][1] + Fnstr=Assign(Fnstr,Var,"t") + Rgstr=Assign(Rgstr,Var,"t") #181017from + Range<- c(0,2*pi) + N<- 50 # Numpoints + E<-c() # Exclusions + D<- Inf # Discont + for (I in Looprange(Is,Nargs)) + { + Tmp<- varargin[[I]] + Tmp<- strsplit(Tmp,"=") + K<- Tmp[[1]] + Tmp<- K[1] + Lhs<- substring(Tmp,1,1) + Tmp1<- K[2] + Str<-paste(Lhs,"=",Tmp1,sep="") + eval(parse(text=Str)) + } + Tmp<- strsplit(Rgstr,"=") + K<-Tmp[[1]] + if(length(K)>1) + { + Vname<- K[1] + Tmp1<- K[2] + Rng<- eval(parse(text=Tmp1)) + } + else + { + Vname<- Rgstr + Rng<- c(0,2*pi) + } + T1<- Rng[1]; T2<- Rng[2] + Dt<- (T2-T1) #180929 + if(Fnflg==0) + { + Str<- gsub(Vname,"t",Fnstr) + } + if(abs(Dt)<Eps){ # 16.12.13 + t=T1 + P=eval(parse(text=Str)) + return(P) + } + P<-c() + if(length(E)>0) + { + E<-sort(E) + E<E[length(E):1] + } + E<- c(E, Inf) + Tmp<- sort(E) + E<- E[length(Tmp):1] + Ke<- 1 + for(jj in 1:(N+1)){ + t=T1+(jj-1)*Dt/N #180929 + Pa<- c() + if(t-E[Ke]< Eps) + { + if(Fnflg==0) + { + Tmp<-eval(parse(text=Str)) + Pa<- Tmp + } + else + { + } + } + if(abs(t-E[Ke])<=Eps) + { + if(Nrow(P)>0 && Op(Nrow(P),P)!=c(Inf,Inf)) + { + Pa<- c(Inf,Inf) + } + } + if(t-E[Ke]>Eps) + { + if(Fnflg==0) + { + Tmp<- eval(parse(text=Str)) + Pa<- Tmp + } + else + { + } + Ke<-Ke+1 + } + if(length(Pa)>0){ + if(Pa[1]==Inf){ + Tmp<-Appendrow(P,Pa) + P<-Tmp + }else{ + if(Nrow(P)==0){ + Tmp<- Appendrow(P,Pa) + P<-Tmp + }else{ + Tmp<- Op(Nrow(P),P) + if(Tmp[1]==Inf){ + Tmp<- Appendrow(P,Pa) + P<- Tmp + }else{ + if(Norm(Tmp-Pa)<D){ + if(Norm(Tmp-Pa)>Eps){ #180928 + Tmp<-Appendrow(P,Pa) + P<-Tmp + } #180928 + }else{ + Tmp<- Appendrow(P,c(Inf,Inf),Pa) + P<- Tmp + } + } + } + } + } + } + Tmp<- Nrow(P) + Tmp1<- Op(Tmp,P) + if(Tmp1[1]==Inf) + { + P<- P[1:(Tmp-1),] + } + return(P) +} + +##################################### + +Partcrv<- function(A,B,PkL) +{ + Eps<- 10.0^(-3) + if(mode(A)=="numeric" && length(A)==1){ + if(A>B+Eps){ + Npt<- Numptcrv(PkL) + Out1<- Partcrv(A,Npt,PkL) + Out2<- Partcrv(1,B,PkL) + Tmp<- Ptstart(PkL)-Ptend(PkL) + if(Norm(Tmp)<Eps){ + Ans<- Joincrvs(Out1,Out2) + } + else{ + Ans<- list(Out1,Out2) + } + return(Ans) + } + Is<- ceiling(A) + Ie<- floor(B) + PL<- c() + if(A<Is-Eps){ + P<- (Is-A)*PkL[Is-1,]+(1-Is+A)*PkL[Is,] + PL<- c(P) + } + PL<- Appendrow(PL, PkL[Looprange(Is,Ie),]) + if(B>Ie+Eps){ + P<- (1-B+Ie)*PkL[Ie,]+(B-Ie)*PkL[Ie+1,] + PL<- Appendrow(PL,P) + } + Ans<- PL + return(Ans) + } + Tmp<- Nearestpt(A,PkL) + Ta<- Op(2,Tmp) + Tmp<- Nearestpt(B,PkL) + Tb<- Op(2,Tmp) + Ans<- Partcrv(Ta,Tb,PkL) +} + +########################################## +# 13.05.03 + +Partframe<- function(Tb,St,Ed) +{ + G<- Dividetable(Tb) + Gw<- G[[1]] + Gt<- G[[2]] + Gy<- G[[3]] + Gwt<- Tb[[4]] + Gwy<- Tb[[5]] + Gat<- c(list(Gwt[[1]]),Gt,list(Gwt[[2]])) + Gay<- c(list(Gwy[[1]]),Gy,list(Gwy[[2]])) + Tmp1<- Ptstart(Gat[[St[1]]]) + Tmp2<- Ptstart(Gay[[St[2]]]) + Ps<- c(Tmp1[1],Tmp2[2]) + Tmp1<- Ptstart(Gat[[Ed[1]]]) + Tmp2<- Ptstart(Gay[[Ed[2]]]) + Pe<- c(Tmp1[1],Tmp2[2]) + Pars<- Paramoncurve(Ps,Gw) + Pare<- Paramoncurve(Pe,Gw) + if(Pars<Pare){ + Out<- Partcrv(Pars,Pare,Gw) + } + else{ + Tmp1<- Partcrv(Pars,Numptcrv(Gw),Gw) + Tmp2<- Partcrv(1,Pare,Gw) + Out<- Joincrvs(Tmp1,Tmp2) + } +return(Out) +} + + +########################################## +# 10.12.04 + +Plotdata<- function(...) +{ + varargin<- list(...) + Eps<- 10^(-5) + Fnstr<- varargin[[1]]; Is<- 2 + Fnstr=Assign(Fnstr) #180510(for KeTCindy) + Fnflg<- 0 + Rgstr<- varargin[[Is]]; Is<- Is+1 + Rgstr=Assign(Rgstr) #180510(for KeTCindy) + Tmp<- strsplit(Rgstr,"=") + K<-Tmp[[1]] + if(length(K)>1){ + Vname<- K[1] + Tmp1<- K[2] + Rng<- eval(parse(text=Tmp1)) + } + else{ + Vname<- Rgstr + Rng<- c(XMIN,XMAX) + } + N<- 50 # Numpoints + E<-c() # Exclusions + Exfun<- "" # Exclusion function + D<- Inf # Discont + for (I in Looprange(Is,length(varargin))){ + Tmp<- varargin[[I]] + Lhs<- substring(Tmp,1,1) + Tmp<- strsplit(Tmp,"=") + K<- Tmp[[1]] + Tmp1<- K[2] + Tmp2<- grep(Vname,Tmp1,fixed=TRUE) ## 10.12.04 + if(length(Tmp2)==0){ + Str<-paste(Lhs,"=",Tmp1,sep="") + eval(parse(text=Str)) + } + else{ + Exfun<-Tmp1 + } + } + X1<- Rng[1]; X2<- Rng[2] + dx<- (X2-X1) #180929 + if(Fnflg==0){ + Str<- gsub(Vname,"x",Fnstr,fixed=TRUE) + } + if(abs(dx/N)<Eps){ #180929 + x=X1 + P=c(X1,eval(parse(text=Str))) + return(P) + } + Exfun<- gsub(Vname,"x",Exfun,fixed=TRUE) + P<-c() + if(length(E)>0){ + E<-sort(E) + E<E[length(E):1] + } + E<- c(E, Inf) + Tmp<- sort(E) + E<- E[length(Tmp):1] + Ke<- 1 + for (J in 0:N){ #180929 + x=X1+dx*J/N #180929 + if(nchar(Exfun)>0){ + Tmp<-eval(parse(text=Exfun)) + if(abs(Tmp)<Eps){ + P<- Appendrow(P,c(Inf,inf)) + next + } + } + Pa<- c() + if(x-E[Ke]< -Eps){ ## 10.12.04 + Tmp<-eval(parse(text=Str)) + Pa<- c(x,Tmp) + } + if(abs(x-E[Ke])<=Eps){ + if(Nrow(P)>0 && P[Nrow(P),]!=c(Inf,Inf)){ + Pa<- c(Inf,Inf) + } + } + if(x-E[Ke]>Eps){ + Tmp<- eval(parse(text=Str)) + Pa<- c(x,Tmp) + Ke<-Ke+1 + } + if(length(Pa)>0){ + if((abs(Pa[1])==Inf)||(abs(Pa[2])==Inf)){ #190409 + Pa=c(Inf,Inf) #190322 + Tmp<-Appendrow(P,Pa) + P<-Tmp + } + else{ + if(Nrow(P)==0){ + Tmp<- Appendrow(P,Pa) + P<-Tmp + } + else{ + Tmp<- P[Nrow(P),] + if(Tmp[1]==Inf){ + Tmp<- Appendrow(P,Pa) + P<- Tmp + } + else{ + if(Norm(Tmp-Pa)<D){ + Tmp<-Appendrow(P,Pa) + P<-Tmp + } + else{ + Tmp<- Appendrow(P,c(Inf,Inf),Pa) + P<- Tmp + } + } + } + } + } + } + Tmp<- Nrow(P) + Tmp1<-P[Tmp,] + if(Tmp1[1]==Inf) + { + P<- P[1:(Tmp-1),] + } + return(P) +} + +###################################### + +Pointoncurve<-function(...) +{ + varargin<-list(...) + Eps<-10^(-4) + T<-varargin[[1]] + Gdata<-varargin[[2]] + if(Nrow(T)>1) + { + Tmp<-T; T<-Gdata; Gdata<-Tmp + } + PtL<-Gdata + N<-trunc(T+Eps); + S<-max(T-N,0); + if(N==Nrow(PtL)) + { + Out<-PtL[N,] + } + else + { + Pa<-PtL[N,] + Pb<-PtL[N+1,] + Out<-(1-S)*Pa+S*Pb + } + return(Out) +} + +############################################## +# 10.11.20 +# 13.05.03 Inf + +Pointdata<-function(...) +{ + varargin<-list(...) + Nargs<-length(varargin) + PL<- list() + for (I in Looprange(1,Nargs)){ # 10.11.20 + DL<-varargin[[I]] + DL<- Flattenlist(DL) # 10.11.20 from here + for (J in Looprange(1,length(DL))){ + Dt<- DL[[J]] + if(is.matrix(Dt)|| is.data.frame(Dt)){ + for (K in 1:nrow(Dt)){ + Tmp<- as.numeric(Dt[K,]) + if(Tmp[1]<Inf){ + PL<- c(PL,list(Tmp)) + } + } + } + else{ + PL<- c(PL,list(Dt)) + } + } + } # to here + if(length(PL)==1) + { + PL<-PL[[1]] + } + return(PL) +} + +############################################## + +Prime<- function(...) +{ + varargin<- list(...) + if(length(varargin)==0){ + Out="'" + } + else{ + Out<- paste(varargin[[1]],"'",sep="") + } + return(Out) +} + +############################################ +# 17.09.29 + +Ptcrv<-function(N,Fig) +{ + if(is.matrix(Fig)){ + return(Fig[N,]) + } + else{ + return(Fig) + } +} + +######################################### + +Ptend<-function(Fig) +{ + if(Length(Fig)>0){ #18.02.09 + return(Op(Length(Fig),Fig)) + }else{ + return(c()) + } +} + +######################################### + +Ptne<-function(...) +{ + varargin<- list(...) + if(length(varargin)==0){ + Out<- c(XMAX,YMAX) + } + else{ + G<- varargin[[1]] + XM<- max(G[,1]) + YM<- max(G[,2]) + Out<- c(XM,YM) + } + return(Out) +} + +######################################### + +Ptnw<-function(...) +{ + varargin<- list(...) + if(length(varargin)==0){ + Out<- c(XMIN,YMAX) + } + else{ + G<- varargin[[1]] + Xm<- min(G[,1]) + YM<- max(G[,2]) + Out<- c(Xm,YM) + } + return(Out) +} + +######################################### + +Ptse<-function(...) +{ + varargin<- list(...) + if(length(varargin)==0){ + Out<- c(XMAX,YMIN) + } + else{ + G<- varargin[[1]] + XM<- max(G[,1]) + Ym<- min(G[,2]) + Out<- c(XM,Ym) + } + return(Out) +} + +############################################# + +Ptstart<-function(Fig) +{ + if(Length(Fig)>0){ #18.02.09 + return(Op(1,Fig)) + }else{ + return(c()) + } +} + +######################################### + +Ptsw<-function(...) +{ + varargin<- list(...) + if(length(varargin)==0){ + Out<- c(XMIN,YMAX) + } + else{ + G<- varargin[[1]] + Xm<- min(G[,1]) + Ym<- min(G[,2]) + Out<- c(Xm,Ym) + } + return(Out) +} + +############################################## + +Putcell<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + TbL<- varargin[[1]] + Str<- varargin[[Nargs]] + if(mode(Str)=="numeric"){ + Str<- as.character(Str) + } + Pos<- varargin[[Nargs-1]] + Nrg<- varargin[[2]] + if(mode(Nrg)=="character"){ + if(Nargs==4){ + Cell<- Findcell(TbL,Nrg) + } + else{ + Mrg<- varargin[[3]] + Cell<- Findcell(TbL,Nrg,Mrg) + } + } + else{ + Mrg<- varargin[[3]] + Cell<- Findcell(TbL,Nrg,Mrg) + } + Pt<- Cell[[1]]; Dr<- "c" + Posh<- substr(Pos,1,1) + Post<- substr(Pos,2,nchar(Pos)) + if(toupper(Posh)=="R"){ + Pt<- Pt+c(Cell[[2]],0) + if(nchar(Post)==0){ + Dr<- "w1" + } + else{ + Dr<- paste("w",Post,sep="") + } + } + if(toupper(Posh)=="L"){ + Pt=Pt-c(Cell[[2]],0) + if(nchar(Post)==0){ + Dr<- "e1" + } + else{ + Dr<- paste("e",Post,sep="") + } + } + if(toupper(Posh)=="U"){ + Pt<- Pt+c(0,Cell[[3]]) + if(nchar(Post)==0){ + Dr<- "s1" + } + else{ + Dr<- paste("s",Post,sep="") + } + } + if(toupper(Posh)=="D"){ + Pt<- Pt-c(0,Cell[[3]]) + if(nchar(Post)==0){ + Dr<- "n1" + } + else{ + Dr<- paste("n",Post,sep="") + } + } + if(toupper(Posh)=="B"){ + Pt<- Pt-c(0,Cell[[3]]) + if(nchar(Post)==0){ + Dr<- "n1" + } + else{ + Dr<- paste("n",Post,sep="") + } + Str<- paste("$\\mathstrut$",Str,sep="") + } + Letter(Pt,Dr,Str) +} + +############################################# + +PutcoL<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + TbL<- varargin[[1]] + if(mode(TbL)!="list"){ + return("Tabledata missing") + } + Ag<- varargin[[2]] + if(mode(Ag)=="numeric"){ + CoL<- Ag + } + else{ + Alpha<- "-ABCDEFGHIJKLMNOPQRSTUVWXYZ" + Clm<- c() + for (I in Looprange(1,nchar(Ag))){ + C<- substr(Ag,I,I) + C<- toupper(C) + Tmp<- strsplit(Alpha,C) + Tmp<- Tmp[[1]] + if(length(Tmp)>1){ + Tmp1<- nchar(Tmp[1]) + Clm<- c(Clm,Tmp1) + } + } + Nrg<- 0 + for (I in seq(length(Clm),1,by=-1)){ + Tmp<- Clm[I] + Tmp1<- length(Clm)-I + Nrg<- Nrg+Tmp*26^Tmp1 + } + CoL<- Nrg + } + Nc<- length(TbL[[3]])+1 + K<- 1 + Dpos<- varargin[[3]] + for (I in Looprange(4,Nargs)){ + if(I-3>Nc){ + break + } + Dt<- varargin[[I]] + if(mode(Dt)!="list"){ + Putcell(TbL,CoL,K,Dpos,Dt) # 2011.03.02 + K<- K+1 + } + else{ + N<- length(Dt) + Str<- Dt[[N]] + Rrng<- c(K,K+1) + Pos<- Dpos + for (J in Looprange(1,N-1)){ + Tmp<- Dt[[J]] + if(mode(Tmp)=="numeric"){ + Rrng<- c(K,K+Tmp) + } + if(mode(Tmp)=="character"){ + Pos<- Tmp + } + } + Putcell(TbL,CoL,Rrng,Pos,Str) + K<- Crng[2] + } + } +} + +Putcol<- function(...) +{ + PutcoL(...) +} + +PutcoLexpr<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + TbL<- varargin[[1]] + if(mode(TbL)!="list"){ + return("Tabledata missing") + } + Ag<- varargin[[2]] + if(mode(Ag)=="numeric"){ + CoL<- Ag + } + else{ + Alpha<- "-ABCDEFGHIJKLMNOPQRSTUVWXYZ" + Clm<- c() + for (I in Looprange(1,nchar(Ag))){ + C<- substr(Ag,I,I) + C<- toupper(C) + Tmp<- strsplit(Alpha,C) + Tmp<- Tmp[[1]] + if(length(Tmp)>1){ + Tmp1<- nchar(Tmp[1]) + Clm<- c(Clm,Tmp1) + } + } + Nrg<- 0 + for (I in seq(length(Clm),1,by=-1)){ + Tmp<- Clm[I] + Tmp1<- length(Clm)-I + Nrg<- Nrg+Tmp*26^Tmp1 + } + CoL<- Nrg + } + Nc<- length(TbL[[3]])+1 + K<- 1 + Dpos<- varargin[[3]] + for (I in Looprange(4,Nargs)){ + if(I-3>Nc){ + break + } + Dt<- varargin[[I]] + if(mode(Dt)!="list"){ + Dt<- paste("$",Dt,"$",sep="") + Putcell(TbL,CoL,K,Dpos,Dt) # 2011.03.02 + K<- K+1 + } + else{ + N<- length(Dt) + Str<- paste("$",Dt[[N]],"$",sep="") + Rrng<- c(K,K+1) + Pos<- Dpos + for (J in Looprange(1,N-1)){ + Tmp<- Dt[[J]] + if(mode(Tmp)=="numeric"){ + Rrng<- c(K,K+Tmp) + } + if(mode(Tmp)=="character"){ + Pos<- Tmp + } + } + Putcell(TbL,CoL,Rrng,Pos,Str) + K<- Crng[2] + } + } +} + +Putcolexpr<- function(...) +{ + PutcoLexpr(...) +} + +##################################################### + +PutcoLstr<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + Tb<- varargin[[1]] + Nr<- varargin[[2]] + Pos<- varargin[[3]] + Str<- varargin[[4]] + Sep<- "" + if(Nargs>4){ + Sep<- varargin[[5]] + } + if(nchar(Sep)==0){ + for (I in Looprange(1,nchar(Str))){ + Tmp<- substr(Str,I,I) + Putcell(Tb,Nr,I,Pos,Tmp) + } + } + else{ + Ltr<- "" + K<- 1 + for (I in Looprange(1,length(Str))){ + Tmp<- substr(Str,I,I) + if(Tmp==Sep){ + Putcell(Tb,Nr,K,Pos,Ltr) + K<- K+1 + Ltr<- "" + } + else{ + Ltr<- paste(Ltr,Tmp,sep="") + } + } + if(nchar(Ltr)>0){ + Putcell(Tb,Nr,K,Pos,Ltr) + } + } +} + +############################################# + +Putrow<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + TbL<- varargin[[1]] + if(mode(TbL)!="list"){ + return("Tabledata missing") + } + Row<- varargin[[2]] + Nr<- length(TbL[[2]])+1 + K<- 1 + Dpos<- varargin[[3]] + for (I in Looprange(4,Nargs)){ + if(I-3>Nr){ + break; + } + Dt<- varargin[[I]] + if(mode(Dt)!="list"){ + Putcell(TbL,K,Row,Dpos,Dt) # 110308 + K<- K+1 + } + else{ + N<- length(Dt) + Str<- Dt[[N]] + Crng<- c(K,K+1) + Pos<- Dpos + for (J in Looprange(1,N-1)){ + Tmp<- Dt[[J]] + if(mode(Tmp)=="numeric"){ + Crng<- c(K,K+Tmp) + } + if(mode(Tmp)=="character"){ + Pos<- Tmp + } + } + Putcell(TbL,Crng,Row,Pos,Str) + K<- Crng[2] + } + } +} + +Putrowexpr<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + TbL<- varargin[[1]] + if(mode(TbL)!="list"){ + return("Tabledata missing") + } + Row<- varargin[[2]] + Nr<- length(TbL[[2]])+1 + K<- 1 + Dpos<- varargin[[3]] + for (I in Looprange(4,Nargs)){ + if(I-3>Nr){ + break; + } + Dt<- varargin[[I]] + if(mode(Dt)!="list"){ + Dt<- paste("$",Dt,"$",sep="") + Putcell(TbL,K,Row,Dpos,Dt) #110308 + K<- K+1 + } + else{ + N<- length(Dt) + Str<- paste("$",Dt[[N]],"$",sep="") + Crng<- c(K,K+1) + Pos<- Dpos + for (J in Looprange(1,N-1)){ + Tmp<- Dt[[J]] + if(mode(Tmp)=="numeric"){ + Crng<- c(K,K+Tmp) + } + if(mode(Tmp)=="character"){ + Pos<- Tmp + } + } + Putcell(TbL,Crng,Row,Pos,Str) + K<- Crng[2] + } + } +} + +#################################################### + +Putrowstr<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + Tb<- varargin[[1]] + Nr<- varargin[[2]] + Pos<- varargin[[3]] + Str<- varargin[[4]] + Sep<- "" + if(Nargs>4){ + Sep<- varargin[[5]] + } + if(nchar(Sep)==0){ + for (I in Looprange(1,nchar(Str))){ + Tmp<- substr(Str,I,I) + Putcell(Tb,I,Nr,Pos,Tmp) + } + } + else{ + Ltr<- "" + K<- 1 + for (I in Looprange(1,length(Str))){ + Tmp<- substr(Str,I,I) + if(Tmp==Sep){ + Putcell(Tb,K,Nr,Pos,Ltr) + K<- K+1 + Ltr<- "" + } + else{ + Ltr<- paste(Ltr,Tmp,sep="") + } + } + if(nchar(Ltr)>0){ + Putcell(Tb,K,Nr,Pos,Ltr) + } + } +} + +############################################ +# 11.05.28 + +Ratiocmyk<- function(Color) +{ + if(is.numeric(Color)){ + return(Color) + } + R<- + switch(Color, + greenyellow=c(0.15,0,0.69,0), + yellow=c(0,0,1,0), + goldenrod=c(0,0.1,0.84,0), + dandelion=c(0,0.29,0.84,0), + apricot=c(0,0.32,0.52,0), + peach=c(0,0.5,0.7,0), + melon=c(0,0.46,0.5,0), + yelloworange=c(0,0.42,1,0), + orange=c(0,0.61,0.87,0), + burntorange=c(0,0.51,1,0), + bittersweet=c(0,0.75,1,0.24), + redorange=c(0,0.77,0.87,0), + mahogany=c(0,0.85,0.87,0.35), + maroon=c(0,0.87,0.68,0.32), + brickred=c(0,0.89,0.94,0.28), + red=c(0,1,1,0), + orangered=c(0,1,0.5,0), + rubinered=c(0,1,0.13,0), + wildstrawberry=c(0,0.96,0.39,0), + salmon=c(0,0.53,0.38,0), + carnationpink=c(0,0.63,0,0), + magenta=c(0,1,0,0), + violetred=c(0,0.81,0,0), + rhodamine=c(0,0.82,0,0), + mulberry=c(0.34,0.9,0,0.02), + redviolet=c(0.07,0.9,0,0.34), + fuchsia=c(0.47,0.91,0,0.08), + lavender=c(0,0.48,0,0), + thistle=c(0.12,0.59,0,0), + orchid=c(0.32,0.64,0,0), + darkorchid=c(0.4,0.8,0.2,0), + purple=c(0.45,0.86,0,0), + plum=c(0.5,1,0,0), + violet=c(0.79,0.88,0,0), + royalpurple=c(0.75,0.9,0,0), + blueviolet=c(0.86,0.91,0,0.04), + periwinkle=c(0.57,0.55,0,0), + cadetblue=c(0.62,0.57,0.23,0), + cornflowerblue=c(0.65,0.13,0,0), + midnightblue=c(0.98,0.13,0,0.43), + navyblue=c(0.94,0.54,0,0), + royalblue=c(1,0.5,0,0), + blue=c(1,1,0,0), + cerulean=c(0.94,0.11,0,0), + cyan=c(1,0,0,0), + processblue=c(0.96,0,0,0), + skyblue=c(0.62,0,0.12,0), + turquoise=c(0.85,0,0.2,0), + tealblue=c(0.86,0,0.34,0.02), + aquamarine=c(0.82,0,0.3,0), + bluegreen=c(0.85,0,0.33,0), + emerald=c(1,0,0.5,0), + junglegreen=c(0.99,0,0.52,0), + seagreen=c(0.69,0,0.5,0), + green=c(1,0,1,0), + forestgreen=c(0.91,0,0.88,0.12), + pinegreen=c(0.92,0,0.59,0.25), + limegreen=c(0.5,0,1,0), + yellowgreen=c(0.44,0,0.74,0), + springgreen=c(0.26,0,0.76,0), + olivegreen=c(0.64,0,0.95,0.4), + rawsienna=c(0,0.72,1,0.45), + sepia=c(0,0.83,1,0.7), + brown=c(0,0.81,1,0.6), + tan=c(0.14,0.42,0.56,0), + gray=c(0,0,0,0.5), + black=c(0,0,0,1), + white=c(0,0,0,0) + ) + if(length(R)<4){ + print("No color") + return(c()) + } + return(R) +} + +############################################ +# 11.01.07 + +Readtextdata<- function(...) +{ + varargin<- list(...) + OutL<- list() + Nargs<- length(varargin) + Fname<- varargin[[1]] + Tmp<- readLines(Fname,n=1) + if(length(grep("\t",Tmp))>0){ + Sep<- "\t" + } + else if(length(grep(",",Tmp))>0){ + Sep<- "," + } + else{ + Sep<- " " + } + Hajime<- c(1,1) + Owari<- c(Inf,Inf) + C<- Inf + R<- Inf + Rna<- FALSE + Cna<- TRUE + Mat<- FALSE + Num<- TRUE + D<- -Inf + Flg<- 0 + for (I in Looprange(2,Nargs)){ + Tmp<- varargin[[I]] + if(mode(Tmp)=="numeric"){ + if (Flg==0){ + Hajime<- Tmp + Flg<- 1 + } + else{ + Owari<- Tmp + } + } + else{ + eval(parse(text=Tmp)) + } + } + Tmp<- Hajime+c(R-1,C-1) + Owari<- c(min(Owari[1],Tmp[1]),min(Owari[2],Tmp[2])) + if(Cna){ + Df<- read.table(Fname,sep=Sep,header=TRUE,,stringsAsFactors=FALSE) + } + else{ + Df<- read.table(Fname,sep=Sep,header=FALSE,,stringsAsFactors=FALSE) + Nv<- c(1:ncol(Df)) + colnames(Df)<- Nv + } + if(Rna){ + rownames(Df)<-Df[,1] + Hajime<- Hajime+c(0,1) + } + if(Mat){ + M<- as.matrix(Df) + Tmp1<- min(Owari[1],nrow(M)) + Tmp2<- min(Owari[2],ncol(M)) + Out<- as.matrix(M[Hajime[1]:Tmp1,Hajime[2]:Tmp2]) + if(Num){ + Tmp1<- as.numeric(Out) + Out<- matrix(Tmp1,nrow=nrow(Out)) + } + } + else{ + Tmp1<- min(Owari[1],nrow(Df)) + Tmp2<- min(Owari[2],ncol(Df)) + Out<- Df[Hajime[1]:Tmp1,Hajime[2]:Tmp2] + } + if(D!=-Inf){ # 11.01.20 v2 + Tmp<- ncol(Out) # 11.01.07 + Tmp1<- rep(Inf,Tmp) + Out[Out[,1]<=D,]<- Tmp1 # 11.01.07 + } + return(Out) +} + +################################## + +Reflectdata<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + Eps<- 10^(-8) + ML<- varargin[[1]] + if(Mixtype(ML)==1){ + ML<- list(ML) + } + if(Nargs==1){ + PtA<- c(0,0); PtB<- PtA + } + else{ + Pts<- varargin[[2]] + if(length(Pts)==2){ + PtA<- Pts; PtB<- PtA + } + else{ + PtA<- Pts[1:2]; PtB<- Pts[3:4] + } + } + ML=Flattenlist(ML) #180603 + OutL<- list() + for (N in Looprange(1,Length(ML))){ + GL<- Op(N,ML) + if(!is.matrix(GL)){GL=matrix(GL,ncol=2)} #180603 + Out<- c() + for (I in Looprange(1,Length(GL))){ + Tmp<- GL[I,] + X1<- Tmp[1] + Y1<- Tmp[2] + if(X1==Inf){ + X2<- X1 + Y2<- Y1 + } + else{ + if(Norm(PtA-PtB)<Eps){ + X2<- 2*PtA[1]-X1 + Y2<- 2*PtA[2]-Y1 + } + else{ + U<- PtB[1]-PtA[1] + V<- PtB[2]-PtA[2] + A<- PtA[1] + B<- PtA[2] + X2<- (U^2-V^2)/(U^2+V^2)*X1+2*U*V/(U^2+V^2)*Y1 + X2<- X2-2*V*(U*B-V*A)/(U^2+V^2) + Y2<- 2*U*V/(U^2+V^2)*X1-(U^2-V^2)/(U^2+V^2)*Y1 + Y2<- Y2+2*U*(U*B-V*A)/(U^2+V^2) + } + } + Out<- Appendrow(Out,c(X2,Y2)) + } + OutL<- Mixjoin(OutL,list(Out)) + } + if(length(OutL)==1){ + OutL<- Op(1,OutL) + } + return(OutL) +} + +########################################## + +Writetextdata<- function(...) +{ + varargin<- list(...) + OutL<- list() + Nargs<- length(varargin) + Data<- varargin[[1]] + Fname<- varargin[[2]] + Sep="," + for (I in Looprange(3,Nargs)){ + Tmp<- varargin[[I]] + eval(parse(text=Tmp)) + } + write.table(Data,Fname,sep=Sep,row.names=FALSE,na="") +} + +########################################## +# 2014.12.17 +# 2015.10.29 + +WriteOutData<- function(...){ + varargin<- list(...) + Nargs<- length(varargin) +# if modulo(Nargs,2)==0 then +# Fname=Fnameout; +# Nst=1; +# else + Fname=varargin[[1]] + Nst=2; +# end; + for(N in seq(Nst,Nargs,by=2)){ + Gname=varargin[[N]] + Tmp=paste(Gname,"//",sep="") + if(N==Nst){ + cat(Tmp,"\n",sep="",file=Fname) + } + else{ + cat(Tmp,"\n",sep="",file=Fname,append=TRUE) + } + Gdata=varargin[[N+1]] + Gdata=Flattenlist(Gdata) + if(!is.list(Gdata)){Gdata=list(Gdata)} + for(K in Looprange(1,length(Gdata))){ + GL=Dividegraphics(Gdata[[K]]) +# for(J in seq(1,length(GL))){ + for(J in Looprange(1,length(GL))){ + cat("start//","\n",sep="",file=Fname,append=TRUE) + Str="" + Iend=Numptcrv(GL[[J]]) +# for(II in seq(1,Iend)){ + for(II in Looprange(1,Iend)){ + Pt=Ptcrv(II,GL[[J]]) + if(nchar(Str)>0){ + Str=paste(Str,",",sep="") + } + if(length(Pt)<3){ + Str=paste(Str,sprintf("[%5.5f,%5.5f]",Pt[1],Pt[2]),sep="") + } + else{ + Str=paste(Str,sprintf("[%5.5f,%5.5f,%5.5f]",Pt[1],Pt[2],Pt[3]),sep="") + } + if(nchar(Str)>80){ + cat("[",Str,"]//","\n",sep="",file=Fname,append=TRUE) + Str="" + } + } + if(nchar(Str)>0){ + cat("[",Str,"]//","\n",sep="",file=Fname,append=TRUE) + } + if((N==Nargs-1) & (K==length(Gdata)) & (J==length(GL))){ +# cat("end////","\n",sep="",file=Fname,append=TRUE) + cat("end//","\n",sep="",file=Fname,append=TRUE) + } + else{ + cat("end//","\n",sep="",file=Fname,append=TRUE) + } + } + } + } + cat("//","\n",sep="",file=Fname,append=TRUE) # 15.11.05 +} + +###### Old #################################### +# 2015.10.23 +ReadOutData<- function(...){ + varargin<- list(...) + Nargs<- length(varargin) + Fname=varargin[[1]] + cmdall=readLines(Fname) + cmdall=gsub("//","",cmdall,fixed=TRUE) + varname=cmdall[1] + outdt=list() + varL=c() + ptL=list() + flg=0 + for(cmd in cmdall){ + if(nchar(cmd)>0){ + if((cmd=="start") | cmd=="end" | substring(cmd,1,1)=="["){ + if(cmd=="start"){ + pts=c() + } + if(cmd=="end"){ + ptL=c(ptL,list(pts)) + } + if(substring(cmd,1,1)=="["){ + tmp1=paste(",",substring(cmd,2,nchar(cmd)-1),sep="") + tmp1=strsplit(tmp1,"]",fixed=TRUE) + tmp1=tmp1[[1]] + tmp1=gsub(",[","c(",tmp1,fixed=TRUE) + for(st in tmp1){ + tmp=eval(parse(text=paste(st,")",sep=""))) + pts=rbind(pts,tmp) + } + row.names(pts)=1:nrow(pts) + } + } + else{ + varname=cmd + varL=c(varL,varname) + if(flg==0){ # 17.10.07from + flg=1 + }else{ + outdt=c(outdt,list(ptL)) + } # 17.10.07until + ptL=c() + } + } + } + outdt=c(outdt,list(ptL)) # 17.10.07 + names(outdt)=varL + for(var in varL){ + tmp=paste(var,"<<- outdt$",var,sep="") + eval(parse(text=tmp)) + } +# print(varL) + outdt +} + +#################################################### + +ReadOutData<- function(...){ #2017.10.23 + varargin<- list(...) + Nargs<- length(varargin) + Fname=varargin[[1]] + cmdall=readLines(Fname) + cmdall=gsub("//","",cmdall,fixed=TRUE) + varname=""#17.12.13 cmdall[1] + outdt=list() + varL=c() + ptL=list() + flg=0 + for(cmd in cmdall){ + if(nchar(cmd)>0){ + if((cmd=="start") | cmd=="end" | substring(cmd,1,1)=="["){ + if(cmd=="start"){ + tmp=paste(varname,"<<- c(",varname,",list(c()))",sep="") + eval(parse(text=tmp)) + Ctr=Ctr+1 + } + if(cmd=="end"){ + } + if(substring(cmd,1,1)=="["){ + tmp1=paste(",",substring(cmd,2,nchar(cmd)-1),sep="") + tmp1=strsplit(tmp1,"]",fixed=TRUE) + tmp1=tmp1[[1]] + tmp1=gsub(",[","c(",tmp1,fixed=TRUE) + for(st in tmp1){ + tmp=paste(varname,"[[",as.character(Ctr),"]]",sep="") + tmp=paste(tmp,"<<- rbind(",tmp,",",st,"))",sep="")# + eval(parse(text=tmp)) + } + } + } + else{ + # 17.12.13from + if(nchar(varname)>0){ + tmp=paste("if(length(",varname,")==1){",varname,"<<- ",varname,"[[1]]}",sep="") + eval(parse(text=tmp)) + } + # 17.12.13until + varname=cmd + tmp=paste(varname,"<<- list()",sep="") + eval(parse(text=tmp)) + Ctr=0 + if(flg==0){ # 17.10.07from + flg=1 + }else{ + } # 17.10.07until + } + } + } + # 17.12.13from + tmp=paste("if(length(",varname,")==1){",varname,"<<- ",varname,"[[1]]}",sep="") + eval(parse(text=tmp)) + # 17.12.13until +} + +#################################################### + +Rotatedata<- function(..., deg=FALSE) +{ + varargin<- list(...) + Nargs<- length(varargin) + Eps<- 10^(-8) + ML<- varargin[[1]] + if(Mixtype(ML)==1){ + ML<- list(ML) + } + Theta<- varargin[[2]] + if(deg) Theta<- Theta*pi/180 # 10.12.07 + if(Nargs==2){ + Pt<- c(0,0) + } + else{ + Pt<- varargin[[3]] + } + ML=Flattenlist(ML) #180603 + Cx<- Pt[1]; Cy<- Pt[2] + OutL<- c() + for (N in Looprange(1,Length(ML))){ + GL<- Op(N,ML) + if(!is.matrix(GL)){GL=matrix(GL,ncol=2)} #180603 + Out<- c() + for (I in Looprange(1,Length(GL))){ + Tmp<- GL[I,] + X1<- Tmp[1] + Y1<- Tmp[2] + if(X1==Inf){ + X2<- X1 + Y2<- Y1 + } + else{ + X2<- Cx+(X1-Cx)*cos(Theta)-(Y1-Cy)*sin(Theta) + Y2<- Cy+(X1-Cx)*sin(Theta)+(Y1-Cy)*cos(Theta) + } + Out<- Appendrow(Out,c(X2,Y2)) + } + if(nrow(Out)==1){ + Out<- Out[1,] + } + OutL<- Mixjoin(OutL,list(Out)) + } + if(length(OutL)==1){ + OutL<- Op(1,OutL) + } + return(OutL) +} + +############################################### + +Scaledata<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + Eps<- 10^(-8) + ML<- varargin[[1]] + if(Mixtype(ML)==1){ + ML<- list(ML) + } + A<- varargin[[2]] + B<- varargin[[3]] + if(Nargs==3){ + Pt<- c(0,0) + } + else{ + Pt<- varargin[[4]] + } + ML=Flattenlist(ML) #180603 + OutL<- list() + for (N in Looprange(1,Length(ML))){ + GL<- Op(N,ML) + if(!is.matrix(GL)){GL=matrix(GL,ncol=2)} #180603 + Out<- c() + for (I in Looprange(1,Length(GL))){ + Tmp<- GL[I,] + X1<- Tmp[1] + Y1<- Tmp[2] + if(X1==Inf){ + X2<- X1 + Y2<-Y1 + } + else{ + X2<- Pt[1]+A*(X1-Pt[1]) + Y2<- Pt[2]+B*(Y1-Pt[2]) + } + Out<- Appendrow(Out,c(X2,Y2)) + } + OutL<- Mixjoin(OutL,list(Out)) + } + if(length(OutL)==1){ + OutL<- Op(1,OutL) + } + return(OutL) +} + +################################ + +Setarrow<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + if(Nargs==0){ + Str<- paste("Size=",YaSize,",","Angle=",YaAngle,",",sep="") + Str<- paste(Str,"Position=",YaThick,",","Style=",YaStyle,sep="") + return(Str) + } + Flg<- 0 + for (I in 1:Nargs){ + Tmp<- varargin[[I]] + if(mode(Tmp)=="numeric"){ + Flg<- Flg+1 + if(Flg==1) YaSize<<-Tmp + if(Flg==2){ + if(Tmp<5){ + YaAngle<<- 18*Tmp + } + else{ + YaAngle<<- Tmp + } + } + if(Flg==3) YaPosition<<- Tmp + if(Flg==4) YaThick<<- Tmp + } + if(mode(Tmp)=="character"){ + YaStyle<<- Tmp + } + } +} + +#################################### + +Setax<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + if(Nargs==0){ #180821(next 2 lines) + Str<- paste(ZIKU,",",XNAME,",",XPOS,",",sep="") + Str<- paste(Str,YNAME,",",YPOS,",",ONAME,",",OPOS,sep="") + return(Str) + } + ArgL<- c() + Tmp<- varargin[[1]] + if(is.numeric(Tmp)){ #180821 + Is<- varargin[[1]] + ArgL<- c() + for (I in Looprange(1,Is-1)){ + ArgL<- c(ArgL,"") + } + for (I in Looprange(2,Nargs)){ + ArgL<- c(ArgL,varargin[[I]]) + } + } + else{ #180821from + for (I in Looprange(1,Nargs)){ + ArgL<- c(ArgL,varargin[[I]]) + } + } + for (I in Looprange(length(ArgL)+1,7)){ + ArgL<- c(ArgL,"") + } #180821to + Xn<- ArgL[2]; Xp<- ArgL[3] + Yn<- ArgL[4]; Yp<- ArgL[5] + On<- ArgL[6]; Op<- ArgL[7] + ZIKU<<- ArgL[1] #180821 + if(nchar(Xn)>0){ + XNAME<<- paste("$",Xn,"$",sep="") + } + if(nchar(Xp)>0){ + XPOS<<- Xp + } + if(nchar(Yn)>0){ + YNAME<<- paste("$",Yn,"$",sep="") + } + if(nchar(Yp)>0){ + YPOS<<-Yp + } + if(nchar(On)>0){ + ONAME<<- On + } + if(nchar(Op)>0){ + OPOS<<- Op + } + Out<- ""; +} + +################################# +# 11.08.24 + +Setcolor<- function(...){ + varargin<- list(...) + Color<- 'black' + Kosa<- 1 + for(J in Looprange(1,length(varargin))){ + Tmp<- varargin[[J]] + if(is.character(Tmp)) Color<- Tmp + if(is.numeric(Tmp)){ + if(length(Tmp)==1){# 11.08.24 + Kosa<- Tmp + } + else{ + Color<- Tmp + } + }# 11.08.24 + } + Iro<- Ratiocmyk(Color) + if(length(Iro)==0) return(c()) + if(length(Iro)==4){ #180602from + Str<- "\\color[cmyk]{" + }else{ + Str<- "\\color[rgb]{" + } #180602to + for(J in 1:length(Iro)){ + Str<- paste(Str,as.character(Kosa*Iro[J]),sep="") + if(J<length(Iro)){ #180603 + Str<- paste(Str,",",sep="") + } + } + Str<- paste(Str,"}",sep="") + Texcom(Str) +} + +################################## + +Setmarklen<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + if(Nargs==0){ + Tmp<- MARKLENNow/MARKLENInit + Tmp=round(Tmp*100)/100 + return(Tmp) + } + Size<- varargin[[1]] + MARKLENNow<<- MARKLENInit*Size + MARKLEN<<- MARKLENNow*1000/2.54/MilliIn +} + +############################### + +Setorigin<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + if(Nargs==0){ + return(GENTEN) + } + Pt<- varargin[[1]] + GENTEN<<- Pt; +} + +################################ + +Setscaling<- function(...){ + varargin<- list(...) + Nargs<- length(varargin) + if(Nargs==0){ + return(c(SCALEX,SCALEY,LOGX,LOGY)) + } + Tmp=varargin[[1]] #181020from + if((Nargs==1)&&(is.numeric(Tmp))){ + SCALEY<<- Tmp + return(invisible(c(SCALEX,SCALEY,LOGX,LOGY))) + } + nCtr=1 #181020to + for (I in 1:Nargs){ + Tmp<- varargin[[I]] + if(mode(Tmp)=="numeric"){ + if(nCtr==1)SCALEX<<- Tmp #181020(2llines) + if(nCtr==2)SCALEY<<- Tmp + nCtr=nCtr+1 + } + if(mode(Tmp)=="character"){ + if(Tmp=="l"){ + LOGX<<- 0 + LOGY<<- 1 + }else if(Tmp=="ll"){ + LOGX<<- 1 + LOGY<<- 1 + }else{ + LOGX<<- 0 + LOGY<<- 0 + } + } + } + Tmp<- c(SCALEX,SCALEY,LOGX,LOGY) +} + +######################################### + +Setpen<-function(Width) +{ + PenThick<<-round(PenThickInit*Width) + Str=paste("\\special{pn ", as.character(PenThick),"}%\n",sep="") + cat(Str,file=Wfile,append=TRUE) +} + +############################################## + +Setpt<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + if(Nargs==0) + { + Tmp<- TenSize/TenSizeInit + Tmp<- round(Tmp*100)/100 + return(Tmp) + } + Size<- varargin[[1]] + TenSize<<- TenSizeInit*Size; +} + +############################################## + +Setunitlen<-function(...) +{ + varargin<-list(...) + if(length(varargin)==0){ + return(ULEN) + } + Ul=varargin[[1]] + Dx<-XMAX-XMIN + Dy<-YMAX-YMIN + Sym<-".0123456789 +-*/" + SL<-Sym + OL<-"+-*/" + if(nchar(Ul)>0){ + ULEN<<-Ul + } + Is<-1 + VL<-"" + Ucode<-ULEN + for (I in 1:nchar(Ucode)){ + C<-substring(Ucode,I,I) + if(length(grep(C,SL))>0){ + if(length(grep(C,OL))>0){ + Tmp<-substring(Ucode,Is,I-1) + Str<-paste(VL,Tmp,C,sep="") + VL<-Str + Is<-I+1 + } + } + else{ + Unit<-substring(Ucode,I,I+1) + Str<-substring(Ucode,Is,I-1) + VL<-paste(VL,Str,sep="") + break; + } + } + Valu<-eval(parse(text=VL)) + Str<-as.character(Valu) + ULEN<<-paste(Str,Unit,sep=""); + if(Unit=="cm") MilliIn<<-1000/2.54*Valu + if(Unit=="mm") MilliIn<<-1000/2.54*Valu/10 + if(Unit=="in") MilliIn<<-1000*Valu + if(Unit=="pt") MilliIn<<-1000/72.27*Valu + if(Unit=="pc") MilliIn<<-1000/6.022*Valu + if(Unit=="bp") MilliIn<<-1000/72*Valu + if(Unit=="dd2") MilliIn<<-1000/1238/1157/72.27*Valu + if(Unit=="cc") MilliIn<<-1000/1238/1157/72.27*12*Valu + if(Unit=="sp") MilliIn<<-1000/72.27/65536*Valu/10 + MARKLEN<<-MARKLENNow*1000/2.54/MilliIn + MEMORI<<-MEMORINow*1000/2.54/MilliIn #17.12.17 +} + +######################################### +# 10.11.20 + +Setwindow<-function(...) +{ + varargin<-list(...) + Nargs<-length(varargin) + if(Nargs==0){ + Out<-c(XMIN,XMAX,YMIN,YMAX) + return(Out) + } + if(Nargs==1){ + Dt<- varargin[[1]] + if(is.list(Dt) && !is.data.frame(Dt)){ + Tmp<- as.data.frame(Dt) + Dt<- t(Tmp) + } + Xm<- min(Dt[,1]) + XM<- max(Dt[,1]) + Ym<- min(Dt[,2]) + YM<- max(Dt[,2]) + Str<- "Setwindow(" + Str<- paste(Str,"c(",as.character(Xm),",",as.character(XM),"),c(",sep="") + Str<- paste(Str,as.character(Ym),",",as.character(YM),")",sep="") + Str<- paste(Str,")",sep="") + print(Str) + } + if(Nargs==2){ + RgX<-varargin[[1]] + RgY<-varargin[[2]] + XMIN<<-RgX[1]; XMAX<<-RgX[2] + YMIN<<-RgY[1]; YMAX<<-RgY[2] + } + if(Nargs==4){ + XMIN<<-varargin[[1]]; XMAX<<-varargin[[2]] + YMIN<<-varargin[[3]]; YMAX<<-varargin[[4]] + } + Out<- c(XMIN,XMAX,YMIN,YMAX); +} + +######################################### + +Shadeold<- function(...) +{ ## Scaling is implemented + varargin<- list(...) + Nargs<- length(varargin) + Iroflg=0 + Kosa=1 + if(Nargs>1){ + Iro=varargin[[Nargs]] + if(is.character(Iro)){ + Iroflg=1 + if(length(grep("{",Iro))>0){ + Str=paste("{\\color",Iro,sep="") + } + else{ + Str=paste("{\\color{",Iro,"}",sep="") + } + } + else{ + if(length(Iro)==1){ + Kosa=Iro + } + else{ + Iroflg=1 + if(length(Iro)==4){ + Str="{\\color[cmyk]{" + } + else{ + if(length(Iro)==3){ + Str="{\\color[rgb]{" + } + } + for(J in 1:length(Iro)){ + Str=paste(Str,as.character(Iro[J]),sep="") + if(J<length(Iro)){ + Str=paste(Str,",") + } + } + Str=paste(Str,"}") + } + } + if(Iroflg==1){ + Str=paste(Str,"%\n",sep="") + cat(Str,file=Wfile,append=TRUE) + } + } + Tmp=varargin[[1]] + Data=Kyokai(Tmp) + Data=list(Data) ####180327 + for (I in Looprange(1, length(Data))){ + PL<- Op(I,Data) + Mojisu<- 0 + for (J in 1:Nrow(PL)){ + P<- Doscaling(Op(J,PL)) + X<- as.character(round(MilliIn*P[1])) + Y<- as.character(-round(MilliIn*P[2])) + Str<- paste("\\special{pa ",X," ",Y,"}",sep="") + cat(Str,file=Wfile,append=TRUE) + Mojisu<- Mojisu+nchar(Str) + if(Mojisu>80){ + cat("%\n",file=Wfile,append=TRUE) + Mojisu<- 0 + } + } + Str1<- paste("\\special{sh ",as.character(Kosa),"}",sep="") + Str2<- paste("\\special{ip}%\n",sep="") + cat(Str1,file=Wfile,append=TRUE) + cat(Str2,file=Wfile,append=TRUE) + } + if(Iroflg==1){ + cat("}%\n",file=Wfile,append=TRUE) + } +} + +####### Shade new 17.09.24############ + +Shade<- function(...) +{ ## Scaling is implemented + varargin<- list(...) + Nargs<- length(varargin) + Iroflg<- 0 + Kosa<- 1 + if(Nargs>1){ + Iro<- varargin[[Nargs]] + if(mode(Iro)=="character"){ + Iroflg<- 1 + if(length(grep(Iro,"{"))>0) + Str<- paste("{\\color",Iro,sep="") + else + Str<- paste("{\\color{",Iro,"}",sep="") + } + else{ + if(length(Iro)==1) + Kosa<- Iro + else{ + Iroflg<- 1 + if(length(Iro)==4) + Str<- paste("{\\color[cmyk]{",sep="") + else + if(length(Iro)==3) + Str<- paste("{\\color[rgb]{",sep="") + for (J in Looprange(1,length(Iro))){ + Str<- paste(Str,as.character(Iro[J]),sep="") + if(J<length(Iro)) + Str<- paste(Str,",",sep="") + } + Str<- paste(Str,"}",sep="") + } + } + if(Iroflg==1){ + } + } + Tmp<- varargin[[1]] +# Data<- Kyoukai(Tmp) + Data= Joincrvs(Tmp) #180929from + Data=list(Data) #180929to + for (I in Looprange(1, Length(Data))){ #180621 + PL<- Op(I,Data) + PL=Appendrow(PL,Op(1,PL)) #180929 + Mojisu<- 0 + for (J in Looprange(1,Length(PL))){ + P<- Doscaling(Op(J,PL)) + X<- as.character(round(MilliIn*P[1])) + Y<- as.character(-round(MilliIn*P[2])) + Str<- paste("\\special{pa ",X," ",Y,"}",sep="") + cat(Str,file=Wfile,append=TRUE,sep="") + Mojisu<- Mojisu+nchar(Str) + if(Mojisu>80){ + cat("%\n",file=Wfile,append=TRUE,sep="") + Mojisu<- 0 + } + } + Str1<- paste("\\special{sh ",as.character(Kosa),"}",sep="") + Str2<- paste("\\special{ip}%\n",sep="") + cat(Str1,file=Wfile,append=TRUE,sep="") + cat(Str2,file=Wfile,append=TRUE,sep="") + } + if(Iroflg==1){ + cat("}%\n",file=Wfile,append=TRUE,sep="") + } +} + +############################################## +# 11.01.07 + +Splinedata<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + Eps<- 10^(-3) + PL<- varargin[[1]] + if(mode(PL)=="character"){ + Fname<- PL + PL<- Readtextdata(Fname) + } + else{ + PL<- as.matrix(PL) + if(Nrow(PL)==1){ + PL<- matrix(PL, nrow=length(PL)/2) + PL<- t(PL) + } + } + if(ncol(PL)==3){ + Flg3<- 1 + } + else{ + Flg3<- 0 + } + PLL<- Dividegraphics(PL) + N<- 50 + C<- c() + for (I in Looprange(2,Nargs)){ + Tmp<- varargin[[I]] + if(mode(Tmp)!="character") next + if(length(grep("=",Tmp,fixed=TRUE))>0){ + eval(parse(text=Tmp)) + } + else{ + Tmp1<- substr(Tmp,1,1) + if(toupper(Tmp1)=="C"){ + C<- 1:length(PLL) + } + } + } + Cflg<- rep(0,length(PLL)) + for(J in Looprange(1,length(C))){ + K<- C[J] + Cflg[K]<- 1 + } + if(length(N)>1){ + Nj<- as.numeric(N) + } + else{ + Tmp<- lapply(PLL,nrow) + Tmp1<- as.numeric(Tmp) + MxP<- max(Tmp1) + Nj<- c() + for (J in 1:length(PLL)){ + Tmp<- nrow(PLL[[J]]) + Tmp1<- round(N/MxP*(Tmp-1)) + Nj<- c(Nj,Tmp1) + } + } + OutL<- list() + for(J in 1:length(PLL)){ + PL<- PLL[[J]] + if(Cflg[J]==1){ + if(Norm(PL[1,]-PL[Nrow(PL),])>Eps){ + PL<-Appendrow(PL,PL[1,]) + Nj[J]=round(N/MxP*nrow(PL)) + } + else{ + PL[Nrow(PL),]<- PL[1,] + } + } + Tn<- 1:Nrow(PL) + Xn<- PL[,1] + Yn<- PL[,2] + if(Flg3==1) Zn<- PL[,3] + if(Cflg[J]==0){ + Dxn<- spline(Tn,Xn,n=Nj[J]) + Dyn<- spline(Tn,Yn,n=Nj[J]) + if(Flg3==1) Dzn<- spline(Tn,Zn,n=Nj[J]) + } + else{ + Dxn<- spline(Tn,Xn,method="periodic") + Dyn<- spline(Tn,Yn,method="periodic") + if(Flg3==1) Dzn<- spline(Tn,Zn,method="periodic") + } + Tmp1<- Dxn$y + Tmp2<- Dyn$y + Tmp3<-c() + if(Flg3==1) Tmp3<- Dzn$y + Out<- matrix(c(Tmp1,Tmp2,Tmp3),nrow=length(Tmp1)) + OutL<- c(OutL,list(Out)) + } + return(OutL) +} + +############################################ +# 2013.05.03 Domain is optional + +Tabledata<- function(...){ + varargin<- list(...) + Eps<- 0.001 + Tmp<- varargin[[1]] # 130503 from + if(is.numeric(Tmp)){ + Domain<- varargin[[1]] + VL<- varargin[[2]] + HL<- varargin[[3]] + } + else{ + Domain<- c(-1,-1) + VL<- varargin[[1]] + HL<- varargin[[2]] + } # 130503 until + Hsize<- Domain[1] + SvL<- list(0) + S<- 0 + for (I in Looprange(1,length(VL))){ + Tmp<- VL[[I]] + S<- S+Tmp[1] + Tmp[1]<- S + SvL<- c(SvL,list(Tmp)) + } + if(Hsize>S){ + SvL<- c(SvL,list(Hsize)) + } + Hsize<- Op(1,SvL[[length(SvL)]]) + Vsize<- Domain[2] + ShL<- list(0) + S<- 0 + for (I in Looprange(1,length(HL))){ + Tmp<- HL[[I]] + S<- S+Tmp[1] + Tmp[1]<- S + ShL<- c(ShL,list(Tmp)) + } + if(Vsize>S){ + ShL<- c(ShL,list(Vsize)) + } + Vsize<- Op(1,ShL[[length(ShL)]]) + Marw<- 0; Mare<- 0; Mars<- 0; Marn<- 0 + if(length(Domain)>2){ + Marw<- Domain[3] + Mare<- Domain[4] + } + if(length(Domain)>4){ + Marn<- Domain[5] + Mars<- Domain[6] + } + Setwindow(c(-Marw,Hsize+Mare),c(-Mars,Vsize+Marn)) + Tmp<- Framedata(c(Eps,Hsize-Eps),c(Eps,Vsize-Eps)) + Gdata<- list(Tmp) + Tmp<- -Marw + Hdata<- list(Listplot(c(c(Tmp,-Mars),c(Tmp,Vsize+Marn)))) + for (I in Looprange(1,length(SvL))){ + Data<- SvL[[I]] + X<- Data[1] + if(length(Data)==1){ + Y1<- 0 + Y2<- Vsize + G<- Listplot(c(X,Y1),c(X,Y2)) + } + else{ + G<- c() + for (J in seq(2,length(Data),by=2)){ + Y1<- Vsize-Op(1,ShL[[Data[J]]]) + Y2<- Vsize-Op(1,ShL[[Data[J+1]]]) + Tmp<- Listplot(c(c(X,Y1),c(X,Y2))) + Tmp1<- Appendrow(G,c(Inf,Inf)) + G<- Appendrow(Tmp1,Tmp) + } + G<- G[2:nrow(G),] + } + Hdata<- c(Hdata,list(G)) + } + Tmp<- Hsize+Mare + Tmp1<- Listplot(c(c(Tmp,-Mars),c(Tmp,Vsize+Marn))) + Hdata<- c(Hdata,list(Tmp1)) + Tmp<- Vsize+Marn + Vdata<- list(Listplot(c(c(-Marw,Tmp),c(Hsize+Mare,Tmp)))) + for (I in Looprange(1,length(ShL))){ + Data<- ShL[[I]] + Y<- Vsize-Data[1] + if(length(Data)==1){ + X1<- 0 + X2<- Hsize + G<- Listplot(c(X1,Y),c(X2,Y)) + } + else{ + G<- c() + for (J in seq(2,length(Data),by=2)){ + X1<- Op(1,SvL[[Data[J]]]) + X2<- Op(1,SvL[[Data[J+1]]]) + Tmp<- Listplot(c(X1,Y),c(X2,Y)) + G<- Appendrow(G,c(Inf,Inf)) + G<- Appendrow(G,Tmp) + } + G<-G[2:nrow(G),] + } + Vdata<- c(Vdata,list(G)) + } +# Tmp<- Listplot(c(c(0,0),c(Hsize,0))) # 2011.03.02 +# Vdata<- Mixjoin(Vdata,list(Tmp)) + Tmp<- Listplot(c(c(-Marw,-Mars),c(Hsize+Mare,-Mars))) + Vdata<- Mixjoin(Vdata,list(Tmp)) + Tmp1<- Hdata[Looprange(3,length(Hdata)-2)] + Tmp2<- Vdata[Looprange(3,length(Vdata)-2)] + Gdata<- Mixjoin(Gdata,Tmp1,Tmp2) + Hind<- Looprange(2,1+length(Tmp1)) + Vind<- Looprange(2+length(Tmp1),1+length(Tmp1)+length(Tmp2)) + G=Gdata[[1]] + P1<- Ptsw(G); P2<- Ptnw(G) + Q1<- Ptse(G); Q2<- Ptne(G) + Tmp1<- list(Listplot(c(P1,P2)),Listplot(c(Q1,Q2))) + P1<- Ptnw(G); P2<- Ptne(G) + Q1<- Ptsw(G); Q2<- Ptse(G) + Tmp2<- list(Listplot(c(P1,P2)),Listplot(c(Q1,Q2))) + Tmp3<- Framedata() + Out<- list(Gdata,Hind,Vind,Tmp1,Tmp2,Tmp3) + return(Out) +} + +################################ + +Texcom<- function(Meirei) +{ + if(Meirei=="\\thinlines"){ + Setpen(1); + return(); + } + if(Meirei=="\\thicklines"){ + Setpen(2); + return() + } + if(Meirei=="\\Thicklines"){ + Setpen(3); + return() + } + if(length(Meirei)==0){ # 09.12.07 + Tmp<- c() + } + else{ + Tmp<- grep("newline",Meirei) + } + if(length(Tmp)>0){ + cat("\n",file=Wfile,append=TRUE); + } + else{ + Tmp<- paste(Meirei,"%\n",sep="") + Tmp<- gsub("//","\\",Tmp,fixed=TRUE) # 11.03.02 + cat(Tmp,file=Wfile,append=TRUE); + } +} + +############################################### + +Texctr<- function(N){ + if(is.numeric(N)){ + Alpha<- "abcdefghijklmnopqrstuvwxyz" + Out<- paste("ketpicctr",substr(Alpha,N,N),sep="") + } + else{ + if(grep("\\",N,fixed=TRUE)>0){ + Out<- substr(N,2,nchar(N)) + } + else{ + Out<- N + } + } + return(Out) +} + +############################################### + +Texelse<- function (){ + Texcom(""); + Texcom("\\else") +} + +############################################### + +Texend<- function() +{ + Texcom("%\n}") +} + +############################################### + +Texendfor<- function(I){ + Last<- TEXFORLAST[[TEXFORLEVEL]] + Texcom("") + Tmp<- paste("\\ifnum",Texthectr(I),"<",Last,sep="") + Texcom(Tmp) + Texcom("\\repeat") + Texcom("}") + TEXFORLEVEL<<- TEXFORLEVEL-1 + TEXFORLAST<<- TEXFORLAST[1:(length(TEXFORLAST)-1)] +} + +############################################### + +Texendif<- function(){ + Texcom("") + Texcom("\\fi") + Texcom("}") +} + +############################################### + +Texfor<- function(I,First,Last){ + TEXFORLEVEL<<- TEXFORLEVEL+1; + Texsetctr(I,"0") + Texsetctr(I,paste(as.character(First),"-1",sep="")) + Texcom("") + Texcom("{") + Texcom("\\loop") + Texsetctr(I,"+1") + TEXFORLAST<<- c(TEXFORLAST,as.character(Last)) +} + +############################################### + +Texforinit<- function(){ + TEXFORLEVEL<<- 0 + TEXFORLAST<<- list() +} + +############################################### + +Texif<- function(...){ + varargin<- list(...) + Condstr<- varargin[[1]] + Tp<- 0 + if(length(varargin)>1){ + Tp<- varargin[[2]] + } + Texcom("") + Texcom("{") + if(Tp==0){ + Texcom("\\ifnum") + } + else{ + Texcom("\\ifdim ") + } + Texcom(paste(Condstr," ",sep="")) +} + +###################################### + +Texletter<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + for (I in seq(1,Nargs,by=3)){ + P<- varargin[[I]] + X<- P[1] + if(mode(X)=="numeric"){ + X<- as.character(X) + } + Y<- P[2] + if(mode(Y)=="numeric"){ + Y<- as.character(Y) + } + Houkou<- varargin[[I+1]] + Mojiretu<- varargin[[I+2]] + Hset<- Houkou + Vhoko<- "c" + if(length(grep("n",Hset))>0){ + Vhoko<- "n" + } + if(length(grep("s",Hset))>0){ + Vhoko<- "s" + } + Hhoko<- "c"; + if(length(grep("e",Hset))>0){ + Hhoko<- "e" + } + if(length(grep("w",Hset))>0){ + Hhoko<- "w" + } + Hoko<- paste(Vhoko,Hhoko,sep="") + CalcWidth(Hoko,Mojiretu) + CalcHeight(Hoko,Mojiretu) + Tmp<- paste("\\put(",X,",",Y,"){\\hspace*{\\Width}",sep="") + Str<- paste(Tmp,"\\raisebox{\\Height}{",Mojiretu,"}}%\n",sep="") + cat(Str,file=Wfile,append=TRUE) + } +} + +################################################## + +Texnewcmd<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + Str<- varargin[[1]] + S<- paste("\\newcommand{",Str,"}",sep="") + if(Nargs>1){ + Tmp<- as.character(varargin[[2]]) + S<- paste(S,"[",Tmp,"]",sep="") + } + if(Nargs>2){ + Tmp<- varargin[[3]] + if(mode(Tmp)=="numeric"){ + Tmp<- as.character(Tmp) + } + S<- paste(S,"[",Tmp,"]",sep="") + } + S<- paste(S,"{",sep="") + Texcom(S) +} + +############################################### + +Texnewctr<- function(N) +{ + if(mode(N)=="character"){ + Str<- paste("\\newcounter{",N,"}",sep="") + Texcom(Str) + } + else{ + for (I in N){ + Str<- paste("\\newcounter{",Texctr(I),"}",sep="") + Texcom(Str) + } + } +} +############################################### + +Texrenewcmd<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + Str<- varargin[[1]] + S<- paste("\\renewcommand{",Str,"}",sep="") + if(Nargs>1){ + Tmp<- as.character(varargin[[2]]) + S<- paste(S,"[",Tmp,"]",sep="") + } + if(Nargs>2){ + Tmp<- varargin[[3]] + if(mode(Tmp)=="numeric"){ + Tmp<- as.character(Tmp) + } + S<- paste(S,"[",Tmp,"]",sep="") + } + S<- paste(S,"{",sep="") + Texcom(S) +} + +############################################### + +Texsetctr<- function(Nctr,Opstr) +{ + Ctr<- Texctr(Nctr) + Opstr<- paste(Opstr,"%",sep="") + OperL<- "+-*/%" + Oper<- "" + Va<- "" + Evflg<- 0 + Paflg<- 0 + for (I in Looprange(1,nchar(Opstr))){ + Tmp<- substring(Opstr,I,I) + if(Tmp=="("){ + Paflg<- 1 + if(nchar(Va)>0){ + Evflg<- 1 + Va<- paste(Va,Tmp,sep="") + } + next + } + if(Tmp==")"){ + Paflg<- 0 + if(Evflg>0){ + Va<- paste(Va,Tmp,sep="") + } + next + } + if(Paflg>0){ + Va<- paste(Va,Tmp,sep="") + next + } + if(length(grep(Tmp,OperL,fixed=TRUE))==0){ #180510 + Va<- paste(Va,Tmp,sep="") + } + else{ + if(Evflg>0){ + Tmp1<- eval(parse(text=Va)) + Va<- paste("\\value{",Tmp1,"}",sep="") + Evflg<- 0 + } + if(Oper==""){ + if(nchar(Va)>0){ + Str<- paste("\\setcounter{",Ctr,"}{",Va,"}",sep="") + Texcom(Str) + } + Oper<- Tmp + Va<-"" + } + else if(Oper=="+"){ + Str<- paste("\\addtocounter{",Ctr,"}{",Va,"}",sep="") + Texcom(Str) + Oper<- Tmp + Va<-"" + } + else if(Oper=="-"){ + Str<- paste("\\addtocounter{",Ctr,"}{-",Va,"}",sep="") + Texcom(Str) + Oper<- Tmp + Va<-"" + } + else if(Oper=="*"){ + Str<- paste("\\multiply\\value{",Ctr,"} by ",Va,sep="") + Texcom(Str) + Oper<- Tmp + Va<-"" + } + else if(Oper=="/"){ + Str<- paste("\\divide\\value{",Ctr,"} by ",Va,sep="") + Texcom(Str) + Oper<- Tmp + Va<-"" + } + } + } +} + +############################################### + +Texthectr<- function(N) +{ + Out<- paste("\\the",Texctr(N),sep="") + return(Out) +} + +############################################### + +Texvalctr<- function(N){ + Out<- paste("\\value{",Texctr(N),"}",sep="") + return(Out) +} + +############################################### + +Texvctr<- function(N) +{ + Out<- paste("\\value{",Texctr(N),"}",sep="") + return(Out) +} + +############################################### + +Tonumeric <- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + Data<- varargin[[1]] + Sp<- c(1,1) + Ep<- c(Inf,Inf) + if(Nargs>1){ + Sp<- varargin[[2]] + } + if(Nargs>2){ + Ep<- varargin[[3]] + } + Nrs<- Sp[1] + Nre<- min(nrow(Data),Ep[1]) + Ncs<- Sp[2] + Nce<- min(ncol(Data),Ep[2]) + Tmp1<- Data[Nrs:Nre, Ncs:Nce] + Tmp2 <- as.numeric(Tmp1) + Out <- matrix(Tmp2,nrow=nrow(Tmp1)) + Sp<- c() + for (I in 1:nrow(Out)){ + for (J in 1:ncol(Out)){ + Tmp<- Out[I,J] + if(!is.na(Tmp)){ + Sp<- c(I,J) + break; + } + } + if(length(Sp)>0) break + } + if(length(Sp)==0){ + return("Numeric data not found") + } + Ep<- c(nrow(Out),ncol(Out)) + for (I in Sp[1]:nrow(Out)){ + Tmp<- Out[I,Sp[2]] + if(is.na(Tmp)){ + Ep[1]<- I-1 + break + } + } + for (J in Sp[2]:ncol(Out)){ + Tmp<- Out[Sp[1],J] + if(is.na(Tmp)){ + Ep[2]<- J-1 + break + } + } + Out<- Out[Sp[1]:Ep[1], Sp[2]:Ep[2]] + return(Out) +} + +################################################## + +Translatedata<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + Eps<- 10^(-8) + ML<- varargin[[1]] + if(Mixtype(ML)==1){ + ML<- list(ML) + } + Tmp=varargin[[2]] + if(mode(Tmp)=="numeric" && length(Tmp)>1){ + A<- Tmp[1]; B<- Tmp[2] + } + else{ + A<- Tmp + if(Nargs>=3){ + B<- varargin[[3]] + } + else{ + B<- 0 + } + } + ML=Flattenlist(ML) #180603 + OutL<- list() + for (N in Looprange(1,Length(ML))){ + GL<- Op(N,ML) + if(!is.matrix(GL)){GL=matrix(GL,ncol=2)} #180603 + Out<- c() + for (I in Looprange(1,Length(GL))){ + Tmp<- GL[I,] #180603 + X1<- Tmp[1] + Y1<- Tmp[2] + if(X1==Inf){ + X2<- X1 + Y2<-Y1 + } + else{ + X2<- X1+A + Y2<- Y1+B + } + Out<- Appendrow(Out,c(X2,Y2)) + } + OutL<- Mixjoin(OutL,list(Out)) + } + if(length(OutL)==1){ + OutL<- Op(1,OutL) + } + return(OutL) +} + +####################################### + +Unscaling<- function(G) +{ + GLg<- G + if(class(GLg)=="numeric"){ + GLg<-c(G[1]/SCALEX, G[2]/SCALEY) + Tmp<-GLg + if(LOGX==1) Tmp[1]<- 10^(GLg[1]) + if(LOGY==1) Tmp[2]<- 10^(GLg[2]) + return(Tmp) + } + else{ + Tmp1<-matrix(c(1/SCALEX,0,0,1/SCALEY),nrow=2) + GLg<-G %*% Tmp1 + Tmp<-GLg + if(LOGX==1) Tmp[,1]<- 10^(G[,1]) + if(LOGY==1) Tmp[,2]<- 10^(G[,2]) + return(Tmp) + } +} + +############################################# + +Vtickmark<- function(...) +{ ## Scaling is implemented + varargin<- list(...) + Nargs<- length(varargin) + ArgsL<- varargin + if(mode(ArgsL[[1]])=="character"){ + Str<- ArgsL[[1]] + Tmp<- strsplit(Str,"m") + Tmp<- Tmp[[1]] + if(length(Tmp)>1){ + I<- nchar(Tmp[1])+1 + } + else{ + I<- 0 + } + Tmp<- strsplit(Str,"n") + Tmp<- Tmp[[1]] + if(length(Tmp)>1){ + J<- nchar(Tmp[1])+1 + } + else{ + J<- 0 + } + Tmp<- strsplit(Str,"r") + Tmp<- Tmp[[1]] + if(length(Tmp)>1){ + K=nchar(Tmp[1])+1 + } + else{ + K<- 0 + } + if(K>0){ + S<- substr(Str,K+1,nchar(Str)) + R<- as.numeric(S) + if(is.na(R)){ + R<- 1 + } + } + else{ + R<- 1 + K<- nchar(Str)+1 + } + if(J>0){ + S<- substr(Str,J+1,K-1) + Dn<- as.numeric(S) + if(is.na(Dn)){ + Dn<- 1 + } + } + else{ + Dn<- 1000 + J<- nchar(Str)+1 + } + S<- substr(Str,I+1,J-1) + Dm<- as.numeric(S) + if(is.na(Dm)){ + Dm<- 1 + } + ArgsL<- list() + for (I in 1:floor((YMAX-GENTEN[2])/Dm)){ + ArgsL<- Mixjoin(ArgsL,I*Dm) + if(I-floor(I/Dn)*Dn==0){ + Str<- as.character(I*Dm*R) + ArgsL<- Mixjoin(ArgsL,Str) + } + } + for (I in seq(-1,ceiling((YMIN-GENTEN[2])/Dm))){ + ArgsL<- Mixjoin(ArgsL,I*Dm) + if(I-floor(I/Dn)*Dn==0){ + Str<- as.character(I*Dm*R) + ArgsL<- Mixjoin(ArgsL,Str) + } + } + } + MemoriList<- list() + Memori<- list() + for (N in 1:length(ArgsL)){ + Dt<- ArgsL[[N]] + if(mode(Dt)=="numeric" && length(Dt)>1){ + if(length(Memori)>0){ + MemoriList<- Mixjoin(MemoriList,list(Memori)) + } + Memori<- list(Dt[1],Dt[2]) + next + } + if(mode(Dt)=="character"){ + Memori<- Mixjoin(Memori,Dt) + } + else{ + if(length(Memori)>0){ + MemoriList<- Mixjoin(MemoriList,list(Memori)) + } + Memori<- list(GENTEN[1],Dt) + } + } + MemoriList<- Mixjoin(MemoriList,list(Memori)) + for (N in 1:length(MemoriList)){ + Dt<- MemoriList[[N]] + Ndt<- length(Dt) + X=Op(1,Dt) + Y=Op(2,Dt) + Tmp<-Doscaling(c(X,Y)) + X<- Tmp[1] + Y<- Tmp[2] + Moji<- Op(Ndt,Dt) + Tmp1<- Unscaling(c(X+MARKLEN,Y)) + Tmp2<- Unscaling(c(X-MARKLEN,Y)) + Fd<- Listplot(c(Tmp1,Tmp2)) + Drwline(Fd) + if(Ndt==3){ + Tmp<-Unscaling(c(X-MARKLEN,Y)) + Expr(Tmp,"w",Moji) + } + if(Ndt==4){ + Houkou<- Op(3,Dt) + Tmp<-grep("w",Houkou) + if(length(Tmp)>0){ + Tmp<-Unscaling(c(X-MARKLEN,Y)) + Expr(Tmp,Houkou,Moji) + } + else{ + Tmp<- Unscaling(c(X+MARKLEN,Y)) + Expr(Tmp,Houkou,Moji) + } + } + cat("%\n",file=Wfile,append=TRUE) + } +} + +############################################ + +Windisp<-function(...){ + varargin<-list(...) + Nargs<-length(varargin) + Tmp<- Doscaling(c(XMIN,YMIN)) + Xmn<- Tmp[1]; Ymn<- Tmp[2] + Tmp<- Doscaling(c(XMAX,YMAX)) + Xmx<- Tmp[1]; Ymx<- Tmp[2] + plot(c(Xmn,Xmx),c(Ymn,Ymx),type="n",asp=1,axes=FALSE,xlab="",ylab="") + Tmp<- Doscaling(Listplot(c(0,YMIN),c(0,YMAX))) + axis(2,at=as.numeric(Tmp[,2]), labels=round(c(YMIN,YMAX),2)) + Tmp<- Doscaling(Listplot(c(XMIN,0),c(XMAX,0))) + axis(1,at=as.numeric(Tmp[,1]), labels=round(c(XMIN,XMAX),2)) + Tmp1<- c(XMIN,GENTEN[2]) + Tmp2<- c(XMAX,GENTEN[2]) + Tmp3<- Listplot(Tmp1,Tmp2) + Tmp<- MakeCurves(Tmp3,0) + if(Datalength(Tmp)>0){ + lines(Tmp[,1],Tmp[,2],col="green") + } + Tmp1<- c(GENTEN[1],YMAX) + Tmp2<- c(GENTEN[1],YMIN) + Tmp3<- Listplot(Tmp1,Tmp2) + Tmp<- MakeCurves(Tmp3,0) + if(Datalength(Tmp)>0){ + lines(Tmp[,1],Tmp[,2],col="green") + } + Tmp<-Doscaling(Framedata()) + lines(Tmp[,1],Tmp[,2]) + for (I in Looprange(1,Nargs)){ + Pdata<-varargin[[I]] + if(mode(Pdata)=="numeric"){ + Pdata<-list(Pdata) + } + while(Mixtype(Pdata)==3){ # 10.02.23 + Tmp1<- list() + for(II in Looprange(1,length(Pdata))){ + Tmp1<- Mixjoin(Tmp1,Pdata[[II]]) + } + Pdata<- Tmp1 + } # 10.02.23 + for (II in Looprange(1,length(Pdata))){ + Tmp<-Pdata[[II]] + P<-MakeCurves(Tmp,0) + Ndm<-Dataindex(P) + for (J in Looprange(1,Nrow(Ndm))){ + Q<-P[Ndm[J,1]:Ndm[J,2],] + if(Nrow(Q)==1){ + Tmp<-seq(1,Ncol(Q),by=2) + for (K in Tmp){ + Pt<-Q[K:(K+1)] + points(Pt[1],Pt[2]) + } + } + else{ + lines(Q[,1],Q[,2]) + } + } + } + } +} + +############################################ + +WindispT<-function(..., color="black",width=1,new=FALSE,htick=c(),vtick=c()){ # 10.12.04 + par(new=new) + varargin<-list(...) + Nargs<-length(varargin) + if(!new) # 10.12.04 + { + Tmp<- Doscaling(c(XMIN,YMIN)) + Xmn<- Tmp[1]; Ymn<- Tmp[2] + Tmp<- Doscaling(c(XMAX,YMAX)) + Xmx<- Tmp[1]; Ymx<- Tmp[2] + plot(c(Xmn,Xmx),c(Ymn,Ymx),type="n",asp=1,axes=FALSE,xlab="",ylab="") + Tick<- sort(c(YMIN,YMAX,vtick)) #### 10.12.04 from here + Tmp1<- matrix(c(rep(0,length(Tick)),Tick),ncol=2) + Tmp<- Doscaling(Tmp1) + axis(2,at=as.numeric(Tmp[,2]), labels=round(Tick,2)) + Tick<- sort(c(XMIN,XMAX,htick)) + Tmp1<- matrix(c(Tick,rep(0,length(Tick))),ncol=2) + Tmp<- Doscaling(Tmp1) + axis(1,at=as.numeric(Tmp[,1]), labels=round(Tick,2)) #### 10.12.04 to here + Tmp1<- c(XMIN,GENTEN[2]) + Tmp2<- c(XMAX,GENTEN[2]) + Tmp3<- Listplot(Tmp1,Tmp2) + Tmp<- MakeCurves(Tmp3,0) + if(Datalength(Tmp)>0){ + lines(Tmp[,1],Tmp[,2],col="green") + } + Tmp1<- c(GENTEN[1],YMAX) + Tmp2<- c(GENTEN[1],YMIN) + Tmp3<- Listplot(Tmp1,Tmp2) + Tmp<- MakeCurves(Tmp3,0) + if(Datalength(Tmp)>0){ + lines(Tmp[,1],Tmp[,2],col="green") + } + Tmp<-Doscaling(Framedata()) + lines(Tmp[,1],Tmp[,2]) + } + for (I in Looprange(1,Nargs)){ + Pdata<-Flattenlist(varargin[[I]]) # 101129 from here + Cmd<- list() + for (II in Looprange(1,length(Pdata))){ + Tmp<-Pdata[[II]] + if(length(Tmp)==1){ + Cmd<- c(Cmd,list(Tmp)) + next + } + + P<-MakeCurves(Tmp,0) + + if(length(Cmd)>0){ + if(length(Cmd)>=3){ + polygon(P,col=Cmd[[1]],border=Cmd[[2]],density=Cmd[[3]]) + } + else{ + polygon(P,col=Cmd[[1]],border=Cmd[[2]]) + } + next + } # 101129 to here + Ndm<-Dataindex(P) + for (J in Looprange(1,Nrow(Ndm))){ + Q<-P[Ndm[J,1]:Ndm[J,2],] + if(Nrow(Q)==1){ + Tmp<-seq(1,Ncol(Q),by=2) + for (K in Tmp){ + Pt<-Q[K:(K+1)] + points(Pt[1],Pt[2],col=color)#taka101111 + } + } + else{ + lines(Q[,1],Q[,2],col=color,lwd=width)#taka101111 + } + } + } + } + par(new=FALSE) +} + +###################################### + +# 3D + +################################# + +# 10.08.16 +CameracoordCurve<- function(Curve){ + Out<- c() + for(J in Looprange(1,Nrow(Curve))){ + P<- Ptcrv(J,Curve) #P=Curve(J,:); + Tmp<- P-FocusPoint + X1<- Tmp[1]; Y1<- Tmp[2]; Z1<- Tmp[3] + Tmp<- EyePoint-FocusPoint + E1<- Tmp[1]; F1<- Tmp[2]; G1<- Tmp[3] + Ca<- E1/sqrt(E1^2+F1^2) + Sa<- F1/sqrt(E1^2+F1^2) + X2<- X1*Ca+Y1*Sa; Y2<- -X1*Sa+Y1*Ca; Z2<- Z1 + E2<- E1*Ca+F1*Sa; F2<- -E1*Sa+F1*Ca; G2<- G1 + Cb<- E2/sqrt(E2^2+G2^2) + Sb<- G2/sqrt(E2^2+G2^2) + X3<- X2*Cb+Z2*Sb; Y3<- Y2; Z3<- -X2*Sb+Z2*Cb + E3<- E2*Cb+G2*Sb; F3<- F2; G3<- -E2*Sb+G2*Cb + Xz<- X3 + Yz<- E3/(E3-X3)*Y3 + Zz<- E3/(E3-X3)*Z3 + Out<- rbind(Out,c(Yz,Zz,Xz)) + } + rownames(Out)<- 1:Nrow(Out) + return(Out) +} + +######################################### + +#100815 +CameraCurve<- function(Curve){ + Eps<- 10^(-6) + for (I in Looprange(1,Nrow(Curve))){ + P<- Curve[I,] + x<- P[1]; y<- P[2]; z<- P[3] + if(x!=Inf){ + Tmp<- Perspt(P) + if(I==1){ + AnsL<- rbind(c(),Tmp) + }else{ + Tmp1<- AnsL[Nrow(AnsL),] + if(Tmp1[1]==Inf || Norm(Tmp-Tmp1)>Eps){ + AnsL<- rbind(AnsL,Tmp) + } + } + }else{ + AnsL<- rbind(AnsL,c(Inf,Inf)) + } + } + rownames(AnsL)<- 1:Nrow(AnsL) + return(AnsL) +} + +###################################### + +Cancoordpara<- function(P){ # 18.02.15 + Xz<- P[1] + Yz<- P[2] + Zz<- P[3] + X<- -Xz*sin(PHI)-Yz*cos(PHI)*cos(THETA)+Zz*cos(PHI)*sin(THETA) + Y<- Xz*cos(PHI)-Yz*sin(PHI)*cos(THETA)+Zz*sin(PHI)*sin(THETA) + Z<- Yz*sin(THETA)+Zz*cos(THETA) + Out<- c(X,Y,Z) + return(Out) +} + +###################################### + +Cancoordpers<- function(P){ + Tmp<- EyePoint-FocusPoint + E1<- Tmp[1]; F1<- Tmp[2]; G1<- Tmp[3] + Ca<- E1/sqrt(E1^2+F1^2) + Sa<- F1/sqrt(E1^2+F1^2) + E2<- E1*Ca+F1*Sa; F2<- -E1*Sa+F1*Ca; G2<- G1 + Cb<- E2/sqrt(E2^2+G2^2) + Sb<- G2/sqrt(E2^2+G2^2) + E3<- E2*Cb+G2*Sb; F3<- F2; G3<- -E2*Sb+G2*Cb + Xz<- P[3]; Yz<- P[1]; Zz<- P[2] + X3<- Xz; Y3<- Yz*(E3-Xz)/E3; Z3<- Zz*(E3-Xz)/E3 + X2<- X3*Cb-Sb*Z3; Y2<- Y3; Z2<- Cb*Z3+Sb*X3 + X1<- X2*Ca-Sa*Y2; Y1<- Ca*Y2+Sa*X2; Z1<- Z2 + X<- X1+FocusPoint[1] + Y<- Y1+FocusPoint[2] + Z<- Z1+FocusPoint[3] + Out<- c(X,Y,Z) + return(Out) +} + +####################################### + +Embed<- function(...){ + varargin<- list(...) + Nargs<- length(varargin) + Pd3<- varargin[[1]] + if(Mixtype(Pd3)==1){ + Pd3<- list(Pd3) + } + else if(Mixtype(Pd3)==3){ + Tmp<- list(); + for(I in Looprange(1,length(Pd3))){ + Tmp<- c(Tmp,Pd3[[I]]) + } + Pd3<- Tmp + } + Tmpf=varargin[[2]] + if(mode(Tmpf)=="character"){ + Tmp<- varargin[[3]] + Tmp1<- gsub("c(","(",Tmp,fixed=TRUE) + Vstr<- gsub(")",")",Tmp1,fixed=TRUE) + Str<- paste("Tmpfn<- function",Vstr,"{",Tmpf,"}",sep="") + eval(parse(text=Str)) + } + else{ + Tmpfn<- Tmpf + } + Out<- list() + for(I in Looprange(1,length(Pd3))){ + PD<- Pd3[[I]] + Ans<- c() + for(J in Looprange(1,Nrow(PD))){ + P<- PD[J,] + Tmp<- Tmpfn(P[1],P[2]) + Ans<- rbind(Ans,Tmp) + } + Out<- c(Out, list(Ans)) + } + if(length(Out)==1){ + Out<- Out[[1]] + } + return(Out) +} + +####################### +# 10.08.17 +# 14.03.30 +Facesdata<- function(...){ + varargin<-list(...) + Nargs<- length(varargin) + FL<- varargin[[1]] + PT<- varargin[[length(varargin)]] + Tmp<-grep("para",PT,fixed=TRUE) + if(length(Tmp)>0){ + Ptype<- 1 + }else{ + Ptype<- -1 + } + if(Nargs==2){ + CLadd<- list() + }else{ + CLadd<- varargin[[2]] + } + NohiddenL<- list() + HiddenL<- list() + Eps<- 10^(-4) + if(length(CLadd)>0){ + if(mode(CLadd)=="numeric"){ + C<- list() + if(Nrow(CLadd)>1){ + for (I in Looprange(1,Nrow(CLadd))){ + C<- c(C,list(CLadd[I,])) + } + }else{ + I<- 1 + while (I<=Ncol(CLadd)){ + C<- c(C,list(CLadd[1,I:(I+2)])) + I<- I+3 + } + } + CrvL<- list(C) + }else if(mode(CLadd[[1]])=="numeric"){ + CrvL<- list() + for (J in Looprange(1,length(CL))){ + Ctmp<- CLadd[[J]] + C<- list() + if(Nrow(Ctmp)>1){ + for (I in Looprange(1,Nrow(Ctmp))){ + C<- c(C,list(Ctmp[I,])) + } + }else{ + I<- 1 + while(I<=Ncol(Ctmp)){ + C<- c(C,list(Ctmp[1,I:(I+2)])) + I<- I+3 + } + } + CrvL<- c(CrvL,list(C)) + } + }else{ + CrvL<- CLadd + } + }else{ + CrvL<- list() + } + Out<- MakeveLfaceL(FL) + VELNO<<- Out[[1]] + VELHI<<- list() + for (I in Looprange(1,length(CrvL))){ + Tmp<- CrvL[[I]] + for (J in Looprange(1,length(Tmp)-1)){ + Edge<- list(Tmp[J],Tmp[J+1]) + Ntmp<- length(VELNO) + VELNO(Ntmp+1)<<- list(Edge,0,Ntmp+1) + } + } + FaceL<- Out[[2]] + Tmp<- grep("raw",PT,fixed=TRUE) + if(length(Tmp)==0){ + for (Nf in Looprange(1,length(FaceL))){ + Face<- FaceL[[Nf]] + Menkakusi2(Face,Nf,Ptype) + } + } + for (I in Looprange(1,length(VELNO))){ + Edge<- Op(1,VELNO[[I]]) + if(Norm(Edge[[1]]-Edge[[2]])>Eps){ + NohiddenL<- c(NohiddenL,list(Spaceline(Edge))) + } + } + EdgeL<- list() # from 13.03.30 + for(K in Looprange(1,length(VELHI))){ + Edge<- Op(1,VELHI[[K]]) + P<- Edge[[1]]; Q<- Edge[[2]] + if(Norm(P-Q)>Eps){ + EdgeL<- c(EdgeL,list(Edge)) + } + } + for(K in Looprange(1,length(EdgeL))){ + Edge<- EdgeL[[K]] + P<- Edge[[1]]; Q<- Edge[[2]] + Cflg<- 0 + for(J in Looprange(K+1,length(EdgeL))){ + Ej<- EdgeL[[J]] + Pj<- Ej[[1]]; Qj<- Ej[[2]] + if(Norm(Crossprod(Q-P,Qj-Pj))>Eps){ + next + } + if(Norm(Q-Pj)<Eps){ + EdgeL[[J]]<- list(P,Qj) + Cflg<- 1 + break + } + if(Norm(P-Qj)<Eps){ + EdgeL[[J]]=list(Q,Pj) + Cflg<- 1 + break + } + } + if(Cflg==0){ + HiddenL<- c(HiddenL,list(Spaceline(Edge))) + } + } # until 14.03.30 + PHHIDDENDATA<<- HiddenL + return(NohiddenL) +} + +############################## +# 2014.03.31 + +PhHiddenData<- function(){ + PHHIDDENDATA +} + +########## Old Fullform ( Check the case of Polygon )#################### + +Fullformfunc<- function(FdL){# Out=Fullformfunc(FdL) + Out<- list(Op(1,FdL)) + N<- Mixlength(FdL) + for (Jrg in Looprange(1,N)){ + Tmp<- Stripblanks(Op(Jrg,FdL)) + Tmp1<- grep("=c(",Tmp,fixed=TRUE) + if(length(Tmp1)>0){ + break + } + } + Urg<- Stripblanks(Op(Jrg,FdL)) + StrV<- strsplit(Urg,"=",fixed=TRUE)[[1]] + Uname<- StrV[1] + Vrg<- Stripblanks(Op(Jrg+1,FdL)) + StrV<- strsplit(Vrg,"=",fixed=TRUE)[[1]] + Vname<- StrV[1] + if(Jrg==2){ + Tmp<- Stripblanks(Op(1,FdL)) + StrV<- strsplit(Tmp,"=",fixed=TRUE)[[1]] + Zf<- StrV[2] + Tmp<- list(Uname,Vname,Zf,Urg,Vrg) + Out<- c(Out,Tmp) + }else if(Jrg==4){ + Tmp<- Stripblanks(Op(1,FdL)) + StrV<- strsplit(Tmp,"=",fixed=TRUE)[[1]] + Zf<- StrV[2] + Tmp<- Stripblanks(Op(2,FdL)) + StrV<- strsplit(Tmp,"=",fixed=TRUE)[[1]] + Xname<- StrV[1] + Xf<- StrV[2] + Tmp<- Stripblanks(Op(3,FdL)) + StrV<- strsplit(Tmp,"=",fixed=TRUE)[[1]] + Yname<- StrV[1] + Yf<- StrV[2] + Tmp<- gsub(Xname,paste("(",Xf,")",sep=""),Zf,fixed=TRUE) + Zf<- gsub(Yname,paste("(",Yf,")",sep=""),Tmp,fixed=TRUE) + Tmp<- list(Xf,Yf,Zf,Urg,Vrg) + Out<- c(Out,Tmp) + }else{ + Tmp<- Stripblanks(Op(2,FdL)) + StrV<- strsplit(Tmp,"=",fixed=TRUE)[[1]] + Xf<- StrV[2] + Tmp<- Stripblanks(Op(3,FdL)) + StrV<- strsplit(Tmp,"=",fixed=TRUE)[[1]] + Yf<- StrV[2] + Tmp<- Stripblanks(Op(4,FdL)) + StrV<- strsplit(Tmp,"=",fixed=TRUE)[[1]] + Zf<- StrV[2] + Tmp<- list(Xf,Yf,Zf,Urg,Vrg) + Out<- c(Out,Tmp) + } + DrwS<- "enws" + BdyL<- c() + for (I in Looprange(Jrg+2,Mixlength(FdL))){ + Tmp<- Op(I,FdL) + if(mode(Tmp)=="character"){ + if(length(Tmp)==0){ + Tmp<- " " + } + DrwS<- Tmp + } + if(mode(Tmp)=="numeric" && Ncol(Tmp)>1){ + BdyL<- Tmp + } + } + Tmp<- list(DrwS,BdyL) + Out<- c(Out,Tmp) + return(Out) +} + +#################################### + +Initangle<- function (){ + PHI<<- 30*pi/180 + THETA<<- 60*pi/180 +} + +########################## + +Invparapt<- function(...){ + varargin<- list(...) + Eps<- 10^(-4) + Fk<- varargin[[length(varargin)]] + NFk<- Numptcrv(Fk) + Tmp<- varargin[[1]] + if(mode(Tmp)=="numeric" && length(Tmp)==1){ # debug + Ph<- Tmp + Fh<- varargin[[2]] + }else{ + Fh<- Projpara(Fk) + if(NFk>2){ + Tmp1<- Nearestpt(Tmp,Fh) + Ph<- Tmp1[[2]] + }else{ + Ah<- Ptcrv(1,Fh); Bh=Ptcrv(2,Fh) + V1<- Tmp-Ah; V2<- Bh-Ah + Tmp1<- Crossprod(V1,V2) + if(abs(Tmp1)>Eps){ + print("Not on the line") + return(c()) + }else{ + Ph<- Dotprod(V1,V2)/Norm(V2)^2+1 + } + } + } + if(NFk>2){ + N<- trunc(Ph) + S0<- Ph-N + if(Ph>Numptcrv(Fh)-Eps){ + Out<- list(Ptend(Fk),Numptcrv(Fh)) + return(Out) + } + }else{ + N<- 1 + S0<- Ph-1 + } + Ak<- Ptcrv(N,Fk); Bk=Ptcrv(N+1,Fk) + Ah<- Ptcrv(N,Fh); Bh=Ptcrv(N+1,Fh) + Ph<- (1-S0)*Ah+S0*Bh + T2<- S0 + Pk<- (1-T2)*Ak+T2*Bk + Out<- list(Pk,N+T2) + return(Out) +} + +################################# + +#100815 +Invperspt<- function(...){ + varargin<-list(...) + Eps<- 10^(-4) + Fk<- varargin[[length(varargin)]] + NFk<- Numptcrv(Fk) + Tmp<- varargin[[1]] + if(mode(Tmp)=="numeric" && length(Tmp)==1){ + Ph<- varargin[[1]] + Fh<- varargin[[2]] + }else{ + Fh<- Projpers(Fk) + if(NFk>2){ + Tmp1<- Nearestpt(Tmp,Fh) + Ph<- Tmp1[[2]] + }else{ + Ah<- Ptcrv(1,Fh); Bh<- Ptcrv(2,Fh) + V1<- Tmp-Ah; V2<- Bh-Ah + Tmp1<- Crossprod(V1,V2) + if(abs(Tmp1)>Eps){ + print("Not on the line") + Out<- c() + return(Out) + }else{ + Ph<- Dotprod(V1,V2)/Norm(V2)^2+1# 09.11.12 + } + } + } + if(NFk>2){ + N<- trunc(Ph) + S0<- Ph-N + if(Ph>Numptcrv(Fh)-Eps){ + Out<- list(Ptend(Fk),Numptcrv(Fh)) + return(Out) + } + }else{ + N<- 1 + S0<- Ph-1 # 09.11.12 + } + Ak<- Ptcrv(N,Fk); Bk<- Ptcrv(N+1,Fk) + Ah<- Ptcrv(N,Fh); Bh<- Ptcrv(N+1,Fh) + Ph<- (1-S0)*Ah+S0*Bh + Phc<- Cancoordpers(c(Ph,0)) + Ahc<- Cancoordpers(c(Ah,0)) + Bhc<- Cancoordpers(c(Bh,0)) + Vp<- Phc-EyePoint + Va<- Ak-EyePoint + AB<- Bk-Ak + Cp<- Crossprod(Vp,AB) + Nmr<- Crossprod(Va,Vp) + Mx<- max(abs(Cp)) + if(abs(Cp[1])==Mx){ + T2<- Nmr[1]/Cp[1] + }else if(abs(Cp[2])==Mx){ + T2<- Nmr[2]/Cp[2] + }else{ + T2<- Nmr[3]/Cp[3] + } + Pk<- (1-T2)*Ak+T2*Bk + Out<- list(Pk,N+T2) + return(Out) +} + +######################### + +Kukannozoku<- function(Jokyo,KukanL){ + Eps<- 10^(-6) + N<- Nrow(KukanL) + T1<- Jokyo[1]; T2<- Jokyo[2] + Tmp<- KukanL[1,] + T1<- max(T1,Tmp[1]) + Tmp<- KukanL[N,] + T2<- min(T2,Tmp[2]) + Res<- c() + Flg<- 0 + for (I in Looprange(1,N)){ + Ku<- KukanL[I,] + if(Flg==0){ + if(Ku[2]<T1){ + Res<- rbind(Res,Ku) + }else{ + Flg<- 1 + if(Ku[1]<T1-Eps){ + Tmp<- c(Ku[1],T1) + Res<- rbind(Res,Tmp) + } + if(Ku[2]>T2+Eps){ + Tmp<- c(T2,Ku[2]) + Res<- rbind(Res,Tmp) + } + } + }else if(Flg==1){ + if(Ku[2]<T2){ + next + }else{ + Flg<- 2 + if(Ku[1]<T2-Eps){ + Ku<- c(T2,Ku[2]) + } + Res<- rbind(Res,Ku) + } + }else{ + Res<- rbind(Res,Ku) + } + } + return(Res) +} + +######################################## + +Makeskeletondata<- function(Obj2L,Plt2L,R0,Eps2){ + Eps<- 10.0^(-3) + Dmat<- c() + Dind<- c() + for (I in Looprange(1,Mixlength(Plt2L))){ + Dt<- Op(I,Plt2L) + N1<- Nrow(Dmat)+1 + if(Nrow(Dmat)==0){ + Dmat<- Dt + }else{ + Dmat<- rbind(Dmat,Dt) + } + N2<- Nrow(Dmat) + Dind<- c(Dind,N1,N2) + } + Dind<- matrix(Dind,ncol=2,byrow=TRUE) + Nind<- Nrow(Dind) + Allres<- list() + for (Nobj in Looprange(1,Mixlength(Obj2L))){ + Plt2<- Op(Nobj,Obj2L) + PhL<- Plt2[,1:2] + ClipL<- c() + for (Ns in Looprange(1,Nrow(PhL)-1)){ + P1<- PhL[Ns:(Ns+1),] + for (I in Looprange(1,Nrow(Dind))){ + Tmp<- Dmat[Dind[I,1]:Dind[I,2],] + P2<- Tmp[,1:2] + KC<- IntersectcrvsPp(P1,P2) + if(Mixlength(KC)>0){ + for (J in 1:Mixlength(KC)){ + P<- Op(1,Op(J,KC)) + Tmp<- Op(2,Op(J,KC)) + if(Tmp<1+Eps && Ns==1){ + next + } + if(Tmp>Numptcrv(P1)-Eps && Ns==(Nrow(PhL)-1)){ + next + } + N1<- Ns + N2<- Op(3,Op(J,KC)) + Pa<- Plt2[N1,1:2] + Za<- Plt2[N1,3] + Pb<- Plt2[N1+1,1:2] + Zb<- Plt2[N1+1,3] + if(Norm(Pa-Pb)<Eps){ + next + } + T1<- Norm(Pa-P)/Norm(Pa-Pb) + Z1<- (1-T1)*Za+T1*Zb + Tmp<- Dmat[Dind[I,1]:Dind[I,2],] + Pa<- Tmp[N2,1:2] + Za<- Tmp[N2,3] + Pb<- Tmp[N2+1,1:2] + Zb<- Tmp[N2+1,3] + if((Norm(Pa-Pb)<Eps)){ + next + } + T2<- Norm(Pa-P)/Norm(Pa-Pb) + Z2<- (1-T2)*Za+T2*Zb + if(Z1<Z2-Eps2){ + if(Nrow(ClipL)==0){ + Tmp<- 1 + }else{ + Tmp1<- ClipL[,1]-P[1] + Tmp2<- ClipL[,2]-P[2] + Tmp3<- Tmp1^2+Tmp2^2 + Tmp<- min(Tmp3) + } + if(Tmp>Eps^2){ + Tmp1<- P1[2,]-P1[1,] + Tmp2<- Pb-Pa + Tmp3<- Dotprod(Tmp1,Tmp2) + Tmp3<- Tmp3/Norm(Tmp1)/Norm(Tmp2) + Tmp<- 1-0.5*Tmp3^2 + ClipL<- rbind(ClipL,c(P,N1,T1,R0/Tmp)) + } + } + } + } + } + } + Te<- Nrow(Plt2) + KukanL<- rbind(c(),c(1.0,Te)) + P1<- PhL + if(Nrow(ClipL)>0){ + for (I in 1:Nrow(ClipL)){ + P<- ClipL[I,1:2] + NN<- ClipL[I,3] + T<- NN+ClipL[I,4] + R<- ClipL[I,5] + Flg<- 0 + for (J in NN:1){ + Q<- Pointoncurve(J,P1) + if(Norm(P-Q)<R){ + next + } + Flg<- 1 + break + } + if(Flg==0){ + T1<- 1 + }else{ + T1<- J; T2<- T + H<- T2-T1 + for (N in 1:10){ + H<- H*0.5 + Q<- Pointoncurve(T1+H,P1) + if(Norm(P-Q)<R){ + T2<- T2-H + }else{ + T1<- T1+H + } + } + } + Ku<- c(T1) + Flg<- 0 + for (J in Looprange(NN+1,Te)){ + Q<- Pointoncurve(J,P1) + if(Norm(P-Q)<R){ + next + } + Flg<- 1 + break + } + if(Flg==0){ + T2<- Te + }else{ + T1<- T; T2<- J + H<- T2-T1 + for (N in 1:10){ + H<- H*0.5 + Q<- Pointoncurve(T1+H,P1) + if(Norm(P-Q)<R){ + T1<- T1+H + }else{ + T2<- T2-H + } + } + } + Ku<- c(Ku,T2) + KukanL<- Kukannozoku(Ku,KukanL) + } + } + Res<- list() + for (I in Looprange(1,Nrow(KukanL))){ + T1<- KukanL[I,1]; N1<- trunc(T1) + T2<- KukanL[I,2]; N2<- trunc(T2) + PtL<- list() + if(T1-N1<1-Eps){ + Tmp<- Pointoncurve(T1,P1) + PtL<- list(Tmp) + } + for (J in Looprange(N1+1,N2)){ + Tmp<- Pointoncurve(J,P1) + PtL<- c(PtL,list(Tmp)) + } + if(T2-N2>Eps){ + Tmp<- Pointoncurve(T2,P1) + PtL<- c(PtL,list(Tmp)) + } + Res<- c(Res,list(Listplot(PtL))) + } + Allres<- c(Allres,Res) + } + return(Allres) +} + +######################### + +#100815 +Makeskeletonpersdata<- function(Obj2L,Plt2L,R0,Eps2){ + Eps<- 10.0^(-3) + Dmat<- c() + Dind<- c() + for (I in Looprange(1,Mixlength(Plt2L))){ + Dt<- Op(I,Plt2L) + N1<- Nrow(Dmat)+1 + Dmat<- rbind(Dmat,Dt) + N2<- Nrow(Dmat) + Dind<- rbind(Dind,c(N1,N2)) + } + Nind<- Nrow(Dind) + Allres<- list() + for (Nobj in Looprange(1,Mixlength(Obj2L))){ + Plt2<- Op(Nobj,Obj2L) + PhL<- Plt2[,1:2] + ClipL<- c() + for (Ns in Looprange(1,Nrow(PhL)-1)){ + P1<- PhL[Ns:(Ns+1),] + for (I in Looprange(1,Nrow(Dind))){ + Tmp<- Dmat[Dind[I,1]:Dind[I,2],] + P2<- Tmp[,1:2] + KC<- IntersectcrvsPp(P1,P2,Eps) + if(Mixlength(KC)>0){ + for (J in Looprange(1,Mixlength(KC))){# + P<- Op(1,Op(J,KC)) + Tmp<- Op(2,Op(J,KC)) + if(Tmp<(1+Eps) && Ns==1){ + next + } + if(Tmp>Numptcrv(P1)-Eps && Ns==(Nrow(PhL)-1)){ + next + } + N1<- Ns + N2<- Op(3,Op(J,KC)) + Pa<- Plt2[N1,1:2] + Za<- Plt2[N1,3] + Pb<- Plt2[N1+1,1:2] + Zb<- Plt2[N1+1,3] + if(Norm(Pa-Pb)<Eps){ + next + } + T1<- Norm(Pa-P)/Norm(Pa-Pb)#norm(Pa-P)/norm(Pa-Pb) + Pka<- Cancoordpers(c(Pa[1],Pa[2],Za)) + Pkb<- Cancoordpers(c(Pb[1],Pb[2],Zb)) + if(T1>1-Eps){ + Pk<- Pkb + }else{ + Tmp1<- Listplot(c(Pa,Pb)) + Tmp2<- Spaceline(c(Pka,Pkb)) + Tmp<- Invperspt(1+T1,Tmp1,Tmp2) + Pk<- Op(1,Tmp) + } + Z1<- Zperspt(Pk) + Tmp<- Dmat[Dind[I,1]:Dind[I,2],] + Pa<- Tmp[N2,1:2] + Za<- Tmp[N2,3] + Pb<- Tmp[N2+1,1:2] + Zb<- Tmp[N2+1,3] + if(Norm(Pa-Pb)<Eps){ + next + } + T2<- Norm(Pa-P)/Norm(Pa-Pb) + Pka<- Cancoordpers(c(Pa[1],Pa[2],Za)) + Pkb<- Cancoordpers(c(Pb[1],Pb[2],Zb)) + if(T2>(1-Eps)){ + Pk<- Pkb + }else{ + Tmp1<- Listplot(c(Pa,Pb)) + Tmp2<- Spaceline(c(Pka,Pkb)) + Tmp<- Invperspt(1+T2,Tmp1,Tmp2) + Pk<- Op(1,Tmp) + } + Z2<- Zperspt(Pk) + if(Z1<(Z2-Eps2)){ + if(length(ClipL)==0){ + Tmp<- 1 + }else{ + Tmp1<- ClipL[,1]-P[1] + Tmp2<- ClipL[,2]-P[2] + Tmp3<- Tmp1^2+Tmp2^2 + Tmp<- min(Tmp3) + } + if(Tmp>Eps^2){ + Tmp1<- P1[2,]-P1[1,] + Tmp2<- Pb-Pa + Tmp3<- Dotprod(Tmp1,Tmp2) + Tmp3<- Tmp3/Norm(Tmp1)/Norm(Tmp2) + Tmp<- 1-0.5*Tmp3^2 + ClipL<- rbind(ClipL,c(P,N1,T1,R0/Tmp)) + } + } + } + } + } + } + Te<- Nrow(Plt2) + KukanL<- rbind(c(),c(1.0,Te)) + P1<- PhL + if(Nrow(ClipL)>0){ + for (I in Looprange(1,Nrow(ClipL))){ + P<- ClipL[I,1:2] + NN<- ClipL[I,3] + T<- NN+ClipL[I,4] + R<- ClipL[I,5] #added 10.08.17 + Flg<- 0 + for (J in NN:1){ + Q<- Pointoncurve(J,P1) + if(Norm(P-Q)<R){#(norm(P-Q)<R) + next + } + Flg<- 1 + break + } + if(Flg==0){ + T1<- 1 + }else{ + T1<- J; T2<- T + H<- T2-T1 + for (N in 1:10){ + H<- H*0.5 + Q<- Pointoncurve(T1+H,P1) + if(Norm(P-Q)<R){ # norm(P-Q)<R + T2<- T2-H + }else{ + T1<- T1+H + } + } + } + Ku<- c(T1)#Ku<- [T1] + Flg<- 0 + for (J in Looprange(NN+1,Te)){ + Q<- Pointoncurve(J,P1) + if(Norm(P-Q)<R){ + next#continue + } + Flg<- 1 + break + } + if(Flg==0){ + T2<- Te + }else{ + T1<- T; T2<- J + H<- T2-T1 + for (N in 1:10){ + H<- H*0.5 + Q<- Pointoncurve(T1+H,P1) + if(Norm(P-Q)<R){ + T1<- T1+H + }else{ + T2<- T2-H + } + } + } + Ku<- c(Ku,T2)#[Ku,T2] + KukanL<- Kukannozoku(Ku,KukanL) + } + } + Res<- list()#[] + for (I in Looprange(1,Nrow(KukanL))){#(I=1:size(KukanL,1)) + T1<- KukanL[I,1]; N1<- trunc(T1) + T2<- KukanL[I,2]; N2<- trunc(T2) + PtL<- list()#[] + if(T1-N1<1-Eps){ + Tmp<- Pointoncurve(T1,P1) + PtL<- list(Tmp)#100816c(PtL,list(Tmp)) PtL<- MixS(Tmp) + } + for (J in Looprange(N1+1,N2)){ + Tmp<- Pointoncurve(J,P1) + PtL<- c(PtL,list(Tmp))#Mixadd(PtL,Tmp) + } + if(T2-N2>Eps){ + Tmp<- Pointoncurve(T2,P1) + PtL<- c(PtL,list(Tmp))#Mixadd(PtL,Tmp) + } + Res<- c(Res,list(Listplot(PtL)))#Res<- Mixadd(Res,Listplot(PtL)) + } + Allres<- c(Allres,Res)#Allres<- Mixjoin(Allres,Res) + } + return(Allres) +} + +##############################3 + +MakeveLfaceL<- function(VfL){ +# // Out format +# // VeL Edge, Face num(as numlist), VeL num +# // FL Face (Vertexs) + Eps<- 10^(-4) + Tmp<- VfL[[length(VfL)]] + Tmp1<- Tmp[[1]] + if(mode(Tmp1)=="numeric"){ + FvL<- list(VfL) + }else{ + FvL<- VfL + } + EL<- list(); FL<- list() + for (Nn in Looprange(1,length(FvL))){ + Tmp<- FvL[[Nn]] + VL<- Tmp[[1]] + if(length(VL)>0){ + FnL<- Tmp[[2]] + FaceL<- list() + for (I in Looprange(1,length(FnL))){ + Tmp1<- FnL[[I]] + PtL<- list() + for (J in Looprange(1,length(Tmp1))){ + Tmp2<- Tmp1[[J]] + PtL[[J]]<- VL[[Tmp2]] + } + FaceL[[I]]<- PtL + } + }else{ + FaceL<- list(Tmp[[2]]) + } + for (I in Looprange(1,length(FaceL))){ + Face<- FaceL[[I]] + Face<- c(Face,list(Face[[1]])) + FL<- c(FL,list(Face)) + for (J in Looprange(1,length(Face)-1)){ + Edge<- list(Face[[J]],Face[[J+1]]) + Flg<- 0 + for (K in Looprange(1,length(EL))){ + Tmp<- EL[[K]] + Tmp1<- Tmp[[1]] + Tmp2<- Norm(Edge[[1]]-Tmp1[[1]])+Norm(Edge[[2]]-Tmp1[[2]]) + Tmp3<- Norm(Edge[[1]]-Tmp1[[2]])+Norm(Edge[[2]]-Tmp1[[1]]) + if(Tmp2<Eps || Tmp3<Eps){#( + Tmp<- EL[[K]] + Tmp1<- Tmp[[1]] + Tmp2<- c(Tmp[[2]],length(FL)) + EL[[K]]<- list(Tmp1,Tmp2,K) + Flg<- 1 + break + } + } + if(Flg==0){ + Ntmp<- length(EL) + EL[[Ntmp+1]]<- list(Edge,c(length(FL)),Ntmp+1) + } + } + } + } + Out<- list(EL,FL) + return(Out) +} + +########################### +# 09.10.29 +# 09.11.15 + +Menkakusi2<- function(Face,Nf,Ptype){ +# global THETA PHI EyePoint FocusPoint VELNO VELHI + Eps0<- 10^(-6) + Eps<- 10^(-4) + Tmp1<- Face[[1]]-Face[[2]] + Tmp2<- Face[[3]]-Face[[2]] + if(Norm(Tmp1)<Eps || Norm(Tmp2)<Eps){ + return() + } + Vec<- 1/Norm(Tmp1)/Norm(Tmp2)*Crossprod(Tmp1,Tmp2) + if(Norm(Vec)<Eps){ + return() + } + if(Ptype== -1){ + W<- EyePoint + Tmp<- Dotprod(Vec,W-Face[[1]]) + }else{ + W<- c(sin(THETA)*cos(PHI),sin(THETA)*sin(PHI),cos(THETA)) + W<- 100*W + Tmp<- Dotprod(Vec,W-Face[[1]]) + } + if(abs(Tmp)<Eps){ + return() + } + if(Tmp<-Eps){ + Vec<- -Vec + } + if(Ptype==-1){ + G1<- Projpers(Spaceline(Face)) + }else{ + G1<- Projpara(Spaceline(Face)) + } + VL<- list() + for (I in Looprange(1,Numptcrv(G1))){ + VL[[I]]<- Ptcrv(I,G1) + } + Out1L<- list() + Out2L<- VELHI + for (N in Looprange(1,length(VELNO))){ + Out1<- list() + Out2<- list() + Tmp<- VELNO[[N]] + Edge<- Tmp[[1]] + Ne<- Tmp[[2]] + NNe<- Tmp[[3]] + if(Member(Nf,Ne)){ + Out1L<- c(Out1L, list(list(Edge,Ne,NNe))) + next + } + if(Ptype==-1){ + PtA<- Perspt(Edge[[1]]) + PtB<- Perspt(Edge[[2]]) + }else{ + PtA<- Parapt(Edge[[1]]) + PtB<- Parapt(Edge[[2]]) + } + if(Norm(PtA-PtB)<Eps){ + next + } + Bdy<- list(G1) + V<- PtB-PtA + TenL<- KoutenList(PtA,V,Bdy) + Nten<- length(TenL) + if(Nten==0){ # debug 10.08.17 + Out1L<- c(Out1L,list(list(Edge,Ne,NNe))) + next + } + Te<- 0 + Pe3<- Edge[[1]] + if(Ptype==-1){ + Tmp1<- Perspt(Pe3) + Tmp<- Invperspt(Tmp1,Spaceline(Face)) + }else{ + Tmp1<- Parapt(Pe3) + Tmp<- Invparapt(Tmp1,Spaceline(Face)) + } + Qe3<- Tmp[[1]] + Flg<- 0 + for (I in Looprange(1,Nten)){ + TenP<- TenL[[I]] + Ts<- TenP[[1]] + P<- TenP[[2]] + if(Ts< -Eps){ + next + } + Eline<- Spaceline(Edge) + if(Ptype==-1){ + Tmp<- Invperspt(P,Eline) + Tmp1<- Invperspt(P,Spaceline(Face)) + }else{ + Tmp<- Invparapt(P,Eline) + Tmp1<- Invparapt(P,Spaceline(Face)) + } + P3<- Tmp[[1]]; Q3<- Tmp1[[1]] + if(Ts>1-Eps){# P3, Q3 are necessary + Flg<- I + break + } + if(abs(Te-Ts)>Eps0){ + if((I%%2)==1){ + Out1<- c(Out1,list(list(Pe3,P3))) + }else{ + if(length(Qe3)==0){ + Tmp<- Op(2,TenL[[I-1]]) + if(Ptype==-1){ + Tmp1<- Invperspt(Tmp,Spaceline(Face)) + }else{ + Tmp1<- Invparapt(Tmp,Spaceline(Face)) + } + Qe3<- Tmp1[[1]] + } + PM<- 0.5*(Pe3+P3); QM<- 0.5*(Qe3+Q3) + if(Ptype==-1){ + Z1<- Zperspt(PM); Z2<- Zperspt(QM) + }else{ + Z1<- Zparapt(PM); Z2<- Zparapt(QM) + } + if(Z1>Z2){ + Out1<- c(Out1, list(list(Pe3,P3))) + }else{ + Out2<- c(Out2, list(list(Pe3,P3))) + }## + } + } + Te<- Ts; Pe3<- P3; Qe3<- Q3 + } + if(Flg==0){ + if(Norm(Pe3-Edge[[2]])>Eps0){ + Out1<- c(Out1, list(list(Pe3,Edge[[2]]))) + } + }else{ + if((Flg%%2)==1){ + Out1<- c(Out1, list(list(Pe3,Edge[[2]]))) + }else{ + PM<- 0.5*(Pe3+P3); QM<- 0.5*(Qe3+Q3) + if(Ptype==-1){ + Z1<- Zperspt(PM); Z2<- Zperspt(QM) + }else{ + Z1<- Zparapt(PM); Z2<- Zparapt(QM) + } + if(Z1>Z2){ + Out1<- c(Out1, list(list(Pe3,Edge[[2]]))) + }else{ + Out2<- c(Out2, list(list(Pe3,Edge[[2]]))) + } + } + } + for (I in Looprange(1,length(Out1))){ + Tmp<- Out1[[I]] + if(I==1){ + SeL<- Tmp + }else{ + if(Norm(SeL[[2]]-Tmp[[1]])<Eps0){ + SeL[[2]]<- Tmp[[2]] + }else{ + Out1L<- c(Out1L, list(list(SeL,Ne,NNe))) + SeL<- Tmp + } + } + } + if(length(Out1)>0){ + Out1L<- c(Out1L, list(list(SeL,Ne,NNe))) + } + for (I in Looprange(1,length(Out2))){ + Tmp<- Out2[[I]] + if(I==1){ + SeL<- Tmp + }else{ + if(Norm(SeL[[2]]-Tmp[[1]])<Eps0){ + SeL[[2]]<- Tmp[[2]] + }else{ + Out2L<- c(Out2L, list(list(SeL,Ne,NNe))) + SeL<- Tmp + } + } + } + if(length(Out2)>0){ + Out2L<- c(Out2L, list(list(SeL,Ne,NNe))) + } + } + VELNO<<- Out1L + VELHI<<- Out2L +} + +################################### + +Parapt<- function(Plist){ # 18.02.19 changed (for point list) + if(!is.list(Plist)){Plist=list(Plist)} + Out=list() + for(jj in 1:length(Plist)){ + P=Op(jj,Plist) + x<- P[1] + y<- P[2] + z<- P[3] + Xz<- -x*sin(PHI)+y*cos(PHI) + Yz<- -x*cos(PHI)*cos(THETA)-y*sin(PHI)*cos(THETA)+z*sin(THETA) + Out<- c(Out,list(c(Xz,Yz))) + } + if(length(Out)==1){Out=Op(1,Out)} + return(Out) +} + +################################### + +Partcrv3<- function(T1,T2,Fk){ + Eps0=10^(-4) +# Tmp=Mixop(1,Fk) +# new part from + if(T1>(T2+Eps0)){ + Npt<- Nrow(Fk) + Out1<- Partcrv3(T1,Npt,Fk) + Out2<- Partcrv3(1,T2,Fk) + Tmp<- Fk[1,]-Fk[Npt,] + if(Norm(Tmp)<Eps0){ + PL<- Joincrvs(Out1,Out2) + }else{ + PL<- list(Out1,Out2) + } + rownames(PL)<- 1:Nrow(PL) + return(PL) + } + if(floor(T1)==floor(T2)){ #18.02.26from + Tmp=floor(T1) + p1=Op(Tmp,Fk); p2=Op(Tmp+1,Fk) + PL=c(p1+(T1-Tmp)*(p2-p1)) + PL=Appendrow(PL, p1+(T2-Tmp)*(p2-p1)) #18.02.26until + }else{ + Is<- ceiling(T1) + Ie<- floor(T2) + PL<- c() + if(T1<Is-Eps0){ + P<- (Is-T1)*Fk[Is-1,]+(1-Is+T1)*Fk[Is,] + PL<- Appendrow(PL, P) #18.02.10(bug) + } + PL<- Appendrow(PL,Fk[Is:Ie,]) + if(T2>(Ie+Eps0)){ + P<- (1-T2+Ie)*Fk[Ie,]+(T2-Ie)*Fk[Ie+1,] + PL<- Appendrow(PL,P) + } + } + return(PL) +} + +################################### + +#100815 +Perspt<- function(P){ + Tmp<- P-FocusPoint + X1<- Tmp[1]; Y1<- Tmp[2]; Z1<- Tmp[3] + Tmp<- EyePoint-FocusPoint + E1<- Tmp[1];F1<- Tmp[2];G1<- Tmp[3] + Ca<- E1/sqrt(E1^2+F1^2) + Sa<- F1/sqrt(E1^2+F1^2) + X2<- X1*Ca+Y1*Sa; Y2<- -X1*Sa+Y1*Ca; Z2<- Z1 + E2<- E1*Ca+F1*Sa; F2<- -E1*Sa+F1*Ca; G2<- G1 + Cb<- E2/sqrt(E2^2+G2^2) + Sb<- G2/sqrt(E2^2+G2^2) + X3<- X2*Cb+Z2*Sb; Y3<- Y2; Z3<- -X2*Sb+Z2*Cb + E3<- E2*Cb+G2*Sb; F3<- F2; G3<- -E2*Sb+G2*Cb + Yz<- E3/(E3-X3)*Y3 + Zz<- E3/(E3-X3)*Z3 + Out<- c(Yz,Zz) + return(Out) +} + + +################################# + +Phcutdata<- function(VL,FaceL,PlaneD){ + Out<- list() + EL<- list() + Eps<- 10^(-4) + for (I in Looprange(1,Mixlength(FaceL))){ + Face<- Op(I,FaceL) + for (J in Looprange(1,length(Face))){ + Nj<- J+1 + if(J==length(Face)){ + Nj<- 1 + } + N1<- Face[J]; N2<- Face[Nj] + Tmp<- c(N1,N2) + Flg<- 0 + for (K in Looprange(1,Mixlength(EL))){ + Tmp1<- Op(K,EL) + Tmp2<- Tmp1[2:1] + if(all(Tmp==Tmp1) || all(Tmp==Tmp2)){ + Flg<- 1 + break + } + } + if(Flg==0){ + EL<- c(EL,list(Tmp)) + } + } + } + Out0<- list() + for (I in Looprange(1,Mixlength(EL))){ + Tmp<- Op(I,EL) + Tmp1<- Op(Tmp[1],VL) + Tmp2<- Op(Tmp[2],VL) + Out0<- c(Out0, list(Spaceline(Tmp1,Tmp2))) + } + if(Mixtype(PlaneD)!=1){ + V1<- Op(1,PlaneD) + Tmp<- Op(2,PlaneD) + if(length(Tmp)>1){ + d<- V1[1]*Tmp[1]+V1[2]*Tmp[2]+V1[3]*Tmp[3] + }else{ + d<- Tmp + } + }else if(mode(PlaneD)=="numeric"){ + V1<- PlaneD[1:3] + d<- PlaneD[4] + }else{ + StrV<- strsplit(PlaneD,"=",fixed=TRUE) + StrV<- StrV[[1]] + if(length(StrV)>1){ + Tmp1<- StrV[1] + Tmp2<- StrV[2] + PlaneD<- paste(Tmp1,"-(",Tmp2,")",sep="") + } + x<- 0; y<- 0; z<- 0 + d<- -eval(parse(text=PlaneD)) + x<- 1; y<- 0; z<- 0; + Tmp1<- eval(parse(text=PlaneD))+d + x<- 0; y<- 1; z<- 0 + Tmp2<- eval(parse(text=PlaneD))+d + x<- 0; y<- 0; z<- 1 + Tmp3<- eval(parse(text=PlaneD))+d + V1<- c(Tmp1,Tmp2,Tmp3) + } + if(all(V1==c(0,0,0))){ + return(Out0) + } + V3<- c(1,0,0) + Out1<- Rotate3data(Out0,V1,V3) + Tmp2<- Rotate3pt(c(1,0,0),V3,V1) + Tmp<- V1[1]*Tmp2[1]+V1[2]*Tmp2[2]+V1[3]*Tmp2[3] + x0<- d/Tmp + PtL<- list() + for (I in Looprange(1,Mixlength(Out1))){ + Tmp<- Op(I,Out1) + Tmp1<- Tmp[1,]; Tmp2<- Tmp[2,] + P<- list(Tmp1,Tmp2-Tmp1) + Tmp<- list(Tmp1[1],Tmp2[1]-Tmp1[1]) + if(abs(Tmp[[2]]) < Eps){ + Tmp<- c() + }else{ + Tmp1<- Tmp[[2]] + Tmp2<- x0-Tmp[[1]] + Tmp<- c(Tmp2/Tmp1) + } + if(length(Tmp)>0){ + Tmp<- Tmp[1] + if(Tmp>-Eps && Tmp<(1+Eps)){ + Tmp3<- P[[1]]+Tmp*P[[2]] + Tmp3<- Rotate3pt(Tmp3,V3,V1) + if(Tmp<Eps){ + Tmp1<- Op(I,EL) + Tmp1<- Tmp1[1] + Tmp4<- list(c(Tmp1,Tmp1),Tmp3) + }else{ + if(Tmp>1-Eps){ + Tmp1<- Op(I,EL) + Tmp1<- Tmp1[2] + Tmp4<- list(c(Tmp1,Tmp1),Tmp3) + }else{ + Tmp4<- list(Op(I,EL),Tmp3) + } + } + Flg<- 0 + for (J in Looprange(1,Mixlength(PtL))){ + Tmp<- Op(J,PtL) + Tmp<- Op(2,Tmp) + if(Norm(Tmp3-Tmp)<Eps){ + Flg<- 1 + break + } + } + if(Flg==0){ + PtL<- c(PtL,list(Tmp4)) + } + } + } + } + if(Mixlength(PtL)==0){ + return(Out0) + } + PL<- list(Op(1,PtL)) + QL<- PtL[2:Mixlength(PtL)] + N<- Mixlength(QL) + for (I in Looprange(2,N+1)){ + Tmp1<- Op(Mixlength(PL),PL) + Tmp1<- Op(1,Tmp1) + for (J in Looprange(1,Mixlength(QL))){ + Tmp2<- Op(J,QL) + Tmp2<- Op(1,Tmp2) + Flg<- 0 + for (K in Looprange(1,Mixlength(FaceL))){ + Tmp3<- Op(K,FaceL); + if(Member(Tmp1[1],Tmp3) && + Member(Tmp1[2],Tmp3) && + Member(Tmp2[1],Tmp3) && + Member(Tmp2[2],Tmp3)){ + Flg<- 1 + break + } + } + if(Flg==1){ + break + } + } + J<- min(J, Mixlength(QL)) + PL<- c(PL,list(Op(J,QL))) + Tmp1<- QL[Looprange(1,J-1)] + Tmp2<- QL[Looprange(J+1,Mixlength(QL))] + QL<- c(Tmp1,Tmp2) + if(Mixlength(QL)==0){ + break + } + } + PHCUTPOINTL<<- PL + Tmp<- list() + for (J in Looprange(1,Mixlength(PL))){ + Tmp1<- Op(J,PL) + Tmp1<- Op(2,Tmp1) + Tmp<- c(Tmp,list(Tmp1)) + } + Tmp1<- Op(1,PL) + Tmp1<- Op(2,Tmp1) + Tmp<- c(Tmp,list(Tmp1)) + Out2<- Spaceline(Tmp) + Out<- c(Out0,list(Out2)) +} + +######################################### + +Phcutoffdata<- function(...){ + varargin<-list(...) + Eps<- 10^(-4) + Out2<- list() + VL<- varargin[[1]] + FaceL<- varargin[[2]] + PlaneD<- varargin[[3]] + Sgnstr<- varargin[[4]] + Fugou<- 1 + if(Sgnstr=="-" || Sgnstr=="n"){ + Fugou<- -1 + } + Out0<- Phcutdata(VL,FaceL,PlaneD) + PtL<- PHCUTPOINTL + PHVERTEXL<<- VL + PHFACEL<<- FaceL + if(length(PtL)==0){ + Out2<- Out0 + return(Out2) + } + N1<- Mixlength(VL) + Face<- c() + for (I in Looprange(1,Mixlength(PtL))){ + Tmp<- Op(I,PtL) + Tmp3<- Op(1,Tmp) + Tmp1<- Tmp3[[1]]; Tmp2<- Tmp3[[2]] # debugged 10.08.14 + if(Tmp1!=Tmp2){ + VL<- c(VL,list(Op(2,Tmp))) + N1<- N1+1 + Tmp1<- N1 + } + Face<- c(Face,Tmp1) + PtL[[I]]<- list(Op(1,Tmp),Tmp1) + } + OutfL<- list(Face) + if(Mixtype(PlaneD)!=1){ + V1<- Op(1,PlaneD) + Tmp<- Op(2,PlaneD) + if(length(Tmp)>1){ + d<- V1[1]*Tmp[1]+V1[2]*Tmp[2]+V1[3]*Tmp[3] + }else{ + d<- Tmp + } + }else if(mode(PlaneD)=="numeric"){ + V1<- PlaneD[1:3] + d<- PlaneD[4] + }else{ + StrV<- strsplit(PlaneD,"=",fixed=TRUE) + StrV<- StrV[[1]] + if(length(StrV)>1){ + Tmp1<- StrV[1] + Tmp2<- StrV[2] + PlaneD<- paste(Tmp1,"-(",Tmp2,")",sep="") + } + x<- 0; y<- 0; z<- 0 + d<- -eval(parse(text=PlaneD)) + x<- 1; y<- 0; z<- 0 + Tmp1<- eval(parse(text=PlaneD))+d + x<- 0; y<- 1; z<- 0 + Tmp2<- eval(parse(text=PlaneD))+d + x<- 0; y<- 0; z<- 1 + Tmp3<- eval(parse(text=PlaneD))+d + V1<- c(Tmp1,Tmp2,Tmp3) + } + for (I in Looprange(1,Mixlength(FaceL))){ + Face<- Op(I,FaceL) + TmpL<- list() + for (J in Looprange(1,length(Face))){ + N1<- Face[J] + if(J==length(Face)){ + N2<- Face[1] + }else{ + N2<- Face[J+1] + } + for (K in Looprange(1,Mixlength(PtL))){ + Pd<- Op(K,PtL) + Tmp<- Op(1,Pd) + if(Tmp[1]==Tmp[2]){ + if(Tmp[1]==N1){ + TmpL<- c(TmpL,list(list(J,c(N1,N2),Op(2,Pd)))) + } + }else{ + if(all(Tmp==c(N1,N2)) || all(Tmp==c(N2,N1))){ + TmpL<- c(TmpL,list(list(J,c(N1,N2),Op(2,Pd)))) + } + } + } + } + if(Mixlength(TmpL)<2){ + Flg<- 0 + for (J in Looprange(1,length(Face))){ + Tmp<- Op(Face[J],VL) + Tmp1<- Fugou*(Dotprod(V1,Tmp)-d) + if(Tmp1< -Eps){ + Flg<- 1 + break + } + } + if(Flg==0){ + OutfL<- c(OutfL,list(Face)) + } + next + } + Pd<- Op(1,TmpL) + Qd<- Op(2,TmpL) + Outf1<- c(Op(3,Pd)) + Nf<- Op(1,Pd)+1 + Tmp<- Op(2,Pd) + JJ<- 0 + while (!all(Tmp==Op(2,Qd))){ + JJ<- JJ+1 + if(JJ>20){ + print("bug") + return() + } + Tmp1<- Tmp[2] + if(Outf1[length(Outf1)]!=Tmp1){ + Outf1<- c(Outf1,Tmp1) + } + Tmp<- c(Face[Nf]) + Nf<- Nf+1 + if(Nf>length(Face)){ + Nf<- 1 + } + Tmp<- c(Tmp,Face[Nf]) + } + Tmp1<- Op(3,Qd) + if(Outf1[length(Outf1)]!=Tmp1){ + Outf1<- c(Outf1,Tmp1) + } + Outf2<- c(Op(3,Pd)) + Nf<- Op(1,Pd) + Tmp<- Op(2,Pd) + JJ<- 0 + while (!all(Tmp==Op(2,Qd))){ + JJ<- JJ+1 + if(JJ>20){ + print("bug") + return() + } + Tmp1<- Tmp[1] + if(Outf2[length(Outf2)]!=Tmp1){ + Outf2<- c(Outf2,Tmp1) + } + Tmp<- c(Face[Nf]) + Nf<- Nf-1 + if(Nf<1){ + Nf<- length(Face) + } + Tmp<- c(Face[Nf],Tmp) + } + Tmp1<- Op(3,Qd) + if(Outf2[length(Outf2)]!=Tmp1){ + Outf2<- c(Outf2,Tmp1) + } + if(length(Outf1)<3 || length(Outf2)<3){ + Face<- Outf1 + if(length(Outf1)<length(Outf2)){ + Face<- Outf2 + } + Flg<- 0 + for (J in Looprange(1,length(Face))){ + Tmp<- Op(Face(J),VL) + Tmp1<- Fugou*(Dotprod(V1,Tmp)-d) + if(Tmp1<-Eps){ + Flg<- 1 + break + } + } + if(Flg==0){ + OutfL<- c(OutfL,list(Face)) + } + }else{ + Tmp<- Op(Outf1[2],VL) + Tmp1<- Outf1 + Tmp2<- Fugou*(Dotprod(V1,Tmp)-d) + if(Tmp2<0){ + Tmp1<- Outf2 + } + OutfL<- c(OutfL,list(Tmp1)) + } + } + PHVERTEXL<<- VL + PHFACEL<<- OutfL + Out2<- Phcutdata(VL,OutfL,c(0,0,0,0)) + return(Out2) +} + +####################### + +Phparadata<- function(VL,FaceL){ + Out<- Facesdata(list(VL,FaceL),"para") + return(Out) +} + +#################################### + +Phpersdata<- function(VL,FaceL){ + Out<- Facesdata(list(VL,FaceL),"pers") + return(Out) +} + +#################################### + +Phspersdata<- function(Fdata){ + Out<- Facesdata(Fdata,"pers") + return(Out) +} + +#################################### + +Phsparadata<- function(Fdata){ + Out<- Facesdata(Fdata,"para") + return(Out) +} + +######################### + +#100816 +Projpers<- function(...){ + varargin<- list(...) + Nargs<- length(varargin) + Flg<- 0 + if(Nargs==1 && Mixtype(varargin[[1]])==1){ + Flg<- 1 + } + CL<- list() + for (N in Looprange(1,Nargs)){ + Crv<- varargin[[N]] + if(Mixtype(Crv)==1){ + Tmp<- CameraCurve(Crv) + CL<- c(CL,list(Tmp)) + }else{ + if(Mixtype(Crv)==3){ + ObjL<- list() + for (I in Looprange(1,Mixlength(Crv))){ + Tmp1<- Op(I,Crv) + if(Mixtype(Tmp1)==1){ + ObjL<- c(ObjL,list(Tmp1)) + }else{ + ObjL<- c(ObjL,Tmp1) + } + } + Crv<- ObjL + } + for (J in Looprange(1,Mixlength(Crv))){ + Tmp<- CameraCurve(Op(J,Crv)) + CL<- c(CL,list(Tmp)) + } + } + } + if(Mixlength(CL)==1 && Flg==1){ + CL<- Op(1,CL) + } + return(CL) +} + +################################### + +ProjcoordCurve<- function(Curve){ + SP<- sin(PHI); CP<- cos(PHI) + ST<- sin(THETA); CT<- cos(THETA) + Out<- c() + for (J in Looprange(1,Nrow(Curve))){ + P<- Ptcrv(J,Curve) + x<- P[1]; y<- P[2]; z<- P[3] + Xz<- -x*SP+y*CP + Yz<- -x*CP*CT-y*SP*CT+z*ST + Zz<- x*CP*ST+y*SP*ST+z*CT + Out<- c(Out,Xz,Yz,Zz) + } + Out<- matrix(Out,ncol=3,byrow=TRUE) + return(Out) +} + +################################# + +ProjCurve<- function(Curve){ # 2018.02.26 rewritten + AnsL= c() + SP=sin(PHI); CP=cos(PHI) + ST=sin(THETA); CT=cos(THETA) + for(I in Looprange(1,Length(Curve)) ){ + P=Op(I,Curve) + x=P[1]; y=P[2]; z=P[3] + if(x!=Inf){ + Xz=-x*SP+y*CP + Yz= -x*CP*CT-y*SP*CT+z*ST + AnsL=Appendrow(AnsL,c(Xz,Yz)) + Tmp= c(Xz,Yz) + }else{ + AnsL=Appendrow(AnsL,c(Inf,Inf)) + } + } + return(AnsL) +} + +#################################### + +Projpara<- function(...){ + varargin<-list(...) + Nargs<- length(varargin) + Flg<- 0 + if((Nargs==1)&&(is.numeric(varargin[[1]]))){ + Flg<- 1 + } + CL<- list() + for (N in Looprange(1,Nargs)){ + Crv<- varargin[[N]] + if(is.numeric(Crv)){ + if(!is.matrix(Crv)){ # 190408from + Crv=matrix(Crv,ncol=3) + } # 190408to + Tmp<- ProjCurve(Crv) + CL<- c(CL,list(Tmp)) + } + else{ + if(is.list(Crv)){ + ObjL<- list() + for (I in Looprange(1,Mixlength(Crv))){ + Tmp1<- Op(I,Crv) + if(is.numeric(Tmp1)){ + ObjL<- c(ObjL,list(Tmp1)) + } + else{ + ObjL<- c(ObjL,Tmp1) + } + } + Crv<- ObjL + } + for (J in Looprange(1,length(Crv))){ + Tmp<- ProjCurve(Op(J,Crv)) + CL<- c(CL,list(Tmp)) + } + } + } + if((length(CL)==1)&&(Flg==1)){ + CL<- Op(1,CL) + } + return(CL) +} + +######################### + +#100816 +Projpers<- function(...){ + varargin<- list(...) + Nargs<- length(varargin) + Flg<- 0 + if(Nargs==1 && Mixtype(varargin[[1]])==1){ + Flg<- 1 + } + CL<- list() + for (N in Looprange(1,Nargs)){ + Crv<- varargin[[N]] + if(Mixtype(Crv)==1){ + Tmp<- CameraCurve(Crv) + CL<- c(CL,list(Tmp)) + }else{ + if(Mixtype(Crv)==3){ + ObjL<- list() + for (I in Looprange(1,Mixlength(Crv))){ + Tmp1<- Op(I,Crv) + if(Mixtype(Tmp1)==1){ + ObjL<- c(ObjL,list(Tmp1)) + }else{ + ObjL<- c(ObjL,Tmp1) + } + } + Crv<- ObjL + } + for (J in Looprange(1,Mixlength(Crv))){ + Tmp<- CameraCurve(Op(J,Crv)) + CL<- c(CL,list(Tmp)) + } + } + } + if(Mixlength(CL)==1 && Flg==1){ + CL<- Op(1,CL) + } + return(CL) +} + +######################################### +# 180807 + +Reflect3data<- function(...){ + varargin<-list(...) + Nargs<- length(varargin) + Pd3<- varargin[[1]] + VL<- varargin[[2]] + if(Mixtype(Pd3)==1){ + Pd3<- list(Pd3) + } else if(Mixtype(Pd3)==3){ + Tmp<- list() + for (I in Looprange(1,Length(Pd3))){ + Tmp<- c(Tmp,Op(I,Pd3)) + } + Pd3<- Tmp + } + Out<- list() + for (I in Looprange(1,Length(Pd3))){ + PD<- Op(I,Pd3) + Ans<- c() + for (J in Looprange(1,Nrow(PD))){ + if(is.matrix(PD)){ + P<- PD[J,] + } + else{ + P<- PD + } + Tmp<- Reflect3pt(P,VL) + Ans<- rbind(Ans,Tmp) + } + rownames(Ans)<- 1:Nrow(Ans) + Out<- c(Out,list(Ans)) + } + if(Length(Out)==1){ + Out<- Op(1,Out) + } + return(Out) +} + +####################################### + +Reflect3pt<- function(...){ + varargin<-list(...) + Nargs<-length(varargin) + P<- varargin[[1]] + VL<- varargin[[2]] + if(Length(VL)==1){ + Ans=2*Op(1,VL)-P + } + if(Length(VL)==2){ + V1=Op(1,VL) + V2=Op(2,VL) + V3=(V2-V1)/Norm(V2-V1) + Tmp=V1+Dotprod(P-V1,V3)*V3 + Ans=2*Tmp-P + } + if(Length(VL)==3){ + V1=Op(1,VL) + V2=Op(2,VL) + V3=Op(3,VL) + Tmp=Crossprod(V2-V1,V3-V1) + Tmp1=P-Dotprod(Tmp, P-V1)/Norm(Tmp)^2*Tmp + Ans=2*Tmp1-P + } + return(Ans) +} + +######################################### +# 180807 + +Scale3data<- function(...){ + varargin<-list(...) + Nargs<- length(varargin) + Pd3<- varargin[[1]] + R<- varargin[[2]] + C<- varargin[[3]] + C<- c(0,0,0) + if(Nargs>=3){ + C<- varargin[[3]] + } + if(Mixtype(Pd3)==1){ + Pd3<- list(Pd3) + } else if(Mixtype(Pd3)==3){ + Tmp<- list() + for (I in Looprange(1,Length(Pd3))){ + Tmp<- c(Tmp,Op(I,Pd3)) + } + Pd3<- Tmp + } + Out<- list() + for (I in Looprange(1,Length(Pd3))){ + PD<- Op(I,Pd3) + Ans<- c() + for (J in Looprange(1,Nrow(PD))){ + if(is.matrix(PD)){ + P<- PD[J,] + } + else{ + P<- PD + } + Tmp<- Scale3pt(P,R,C) + Ans<- rbind(Ans,Tmp) + } + rownames(Ans)<- 1:Nrow(Ans) + Out<- c(Out,list(Ans)) + } + if(Length(Out)==1){ + Out<- Op(1,Out) + } + return(Out) +} + +####################################### + +Scale3pt<- function(...){ + varargin<-list(...) + Nargs<-length(varargin) + P<- varargin[[1]] + R<- varargin[[2]] + if(length(R)==1){ #180808from + R=c(R,R,R) + } #180808to + C<- c(0,0,0) + if(Nargs>=3){ + C<- varargin[[3]] + } + X1=P[1]; Y1=P[2]; Z1=P[3] + Cx=C[1]; Cy=C[2]; Cz=C[3] + X2=Cx+R[1]*(X1-Cx) + Y2=Cy+R[2]*(Y1-Cy) + Z2=Cz+R[3]*(Z1-Cz) + Ans=c(X2,Y2,Z2) + return(Ans) +} + +######################################### +# 11.08.27 +# 14.03.23 Debugged "center" + +Rotate3data<- function(...){ +#Eps=10^(-4) + varargin<-list(...) + Nargs<- length(varargin) + Pd3<- varargin[[1]] + W1<- varargin[[2]] + W2<- varargin[[3]] + C<- c(0,0,0) + if(Nargs>=4){ + C<- varargin[[4]] + } + if(Mixtype(Pd3)==1){ + Pd3<- list(Pd3) + } else if(Mixtype(Pd3)==3){ + Tmp<- list() + for (I in Looprange(1,Mixlength(Pd3))){ + Tmp<- c(Tmp,Op(I,Pd3)) + } + Pd3<- Tmp + } + Out<- list() + for (I in Looprange(1,Mixlength(Pd3))){ + PD<- Op(I,Pd3) + Ans<- c() + for (J in Looprange(1,Nrow(PD))){ + if(is.matrix(PD)){ # 11.08.27 + P<- PD[J,] + } + else{ + P<- PD + } + Tmp<- Rotate3pt(P,W1,W2,C) # 14.03.23 + Ans<- rbind(Ans,Tmp) + } # 11.08.27 + rownames(Ans)<- 1:Nrow(Ans) #10.08.16 + Out<- c(Out,list(Ans)) + } + if(Mixlength(Out)==1){ + Out<- Op(1,Out) + } + return(Out) +} + +####################################### + +Rotate3pt<- function(...){ + varargin<-list(...) + Eps<-10^(-4) + Nargs<-length(varargin) + P<- varargin[[1]] + W1<- varargin[[2]] + W2<- varargin[[3]] + C<- c(0,0,0) + if(Nargs>=4){ + C<- varargin[[4]] + } + if(mode(W2)=="numeric" && length(W2)==1){ + Ct<- cos(W2) + St<- sin(W2) + V3<- 1/Norm(W1)*W1 + if(V3[1]==0){ + Tmp<- c(1,0,0) + }else{ + Tmp<- c(0,1,0) + } + W1<- c(Tmp[2]*V3[3]-Tmp[3]*V3[2], + Tmp[3]*V3[1]-Tmp[1]*V3[3], + Tmp[1]*V3[2]-Tmp[2]*V3[1]) + V1<- 1/Norm(W1)*W1 + V2<- c(V3[2]*V1[3]-V3[3]*V1[2], + V3[3]*V1[1]-V3[1]*V1[3], + V3[1]*V1[2]-V3[2]*V1[1]) + }else{ + Tmp<- c(W1[2]*W2[3]-W1[3]*W2[2], + W1[3]*W2[1]-W1[1]*W2[3], + W1[1]*W2[2]-W1[2]*W2[1]) + if(Norm(Tmp)<Eps){ + Ans<- P + return(Ans) + } + V1<- 1/Norm(W1)*W1 + Ns<- V1[1]*W2[1]+V1[2]*W2[2]+V1[3]*W2[3] + Tmp<- W2-Ns*V1 + V2<- 1/Norm(Tmp)*Tmp + Tmp<- c(V1[2]*V2[3]-V1[3]*V2[2], + V1[3]*V2[1]-V1[1]*V2[3], + V1[1]*V2[2]-V1[2]*V2[1]) + V3<- 1/Norm(Tmp)*Tmp + Ct<- Ns/Norm(W2) + St<- sqrt(1-Ct^2) + } + if(Norm(Tmp)<Eps){ + Ans<- P + return(Ans) + } + V1x<- V1[1]; V1y<- V1[2]; V1z<- V1[3] + V2x<- V2[1]; V2y<- V2[2]; V2z<- V2[3] + V3x<- V3[1]; V3y<- V3[2]; V3z<- V3[3] + if(Mixtype(P)!=1){ + PtL<- P + }else{ + PtL<- list(P) + } + Ans<- list() + for (N in Looprange(1,Mixlength(PtL))){ + P<- Op(N,PtL) + if(P[1]==Inf){ + Ans<- c(Ans,list(c(Inf,Inf,Inf))) + next + } + x<- P[1]-C[1]; y=P[2]-C[2]; z=P[3]-C[3] + Tmp1<- ((V1x*Ct+V2x*St)*V1x+(-V1x*St+V2x*Ct)*V2x+V3x^2)*x + Tmp2<- ((V1x*Ct+V2x*St)*V1y+(-V1x*St+V2x*Ct)*V2y+V3x*V3y)*y + Tmp3<- ((V1x*Ct+V2x*St)*V1z+(-V1x*St+V2x*Ct)*V2z+V3x*V3z)*z + X<- Tmp1+Tmp2+Tmp3 + Tmp1<- ((V1y*Ct+V2y*St)*V1x+(-V1y*St+V2y*Ct)*V2x+V3x*V3y)*x + Tmp2<- ((V1y*Ct+V2y*St)*V1y+(-V1y*St+V2y*Ct)*V2y+V3y^2)*y + Tmp3<- ((V1y*Ct+V2y*St)*V1z+(-V1y*St+V2y*Ct)*V2z+V3y*V3z)*z + Y<- Tmp1+Tmp2+Tmp3 + Tmp1<- ((V1z*Ct+V2z*St)*V1x+(-V1z*St+V2z*Ct)*V2x+V3x*V3z)*x + Tmp2<- ((V1z*Ct+V2z*St)*V1y+(-V1z*St+V2z*Ct)*V2y+V3y*V3z)*y + Tmp3<- ((V1z*Ct+V2z*St)*V1z+(-V1z*St+V2z*Ct)*V2z+V3z^2)*z + Z<- Tmp1+Tmp2+Tmp3 + Ans<- c(Ans,list(C+c(X,Y,Z))) + } + if(Mixlength(Ans)==1){ + Ans<- Op(1,Ans) + } + return(Ans) +} + +################################# + +Translate3data<- function(...){ + varargin<- list(...) + Nargs<- length(varargin) + Pd3<- varargin[[1]] + Mv<- varargin[[2]] + if(mode(Mv)=="numerice" && length(Mv)==1){ + Mv<- c(varargin[[2]],varargin[[3]],varargin[[4]]) + } + if(Mixtype(Pd3)==1){ + Pd3<- list(Pd3) + } + else if(Mixtype(Pd3)==3){ + Tmp<-list() + for(I in Looprange(1,Mixlength(Pd3))){ + Tmp<- c(Tmp, Op(I,Pd3)) + } + Pd3<- Tmp + } + Out<- list() + for(I in Looprange(1,Mixlength(Pd3))){ + PD<- Op(I,Pd3) + PD<- rbind(c(),PD) + Ans<- c() + for(J in Looprange(1,Nrow(PD))){ + P<- PD[J,] + Tmp<- P+Mv + Ans<- rbind(Ans,Tmp) + } + rownames(Ans)<- 1:Nrow(Ans) + Out<- c(Out,list(Ans)) + } + if(Mixlength(Out)==1){ + Out<- Op(1,Out) + } + return(Out) +} + +###################################### + +Setangle<- function(...){ + Eps<- 10^(-6) + varargin<-list(...) + Nargs<-length(varargin) + if(Nargs==0) { + } + else if(Nargs==1){ + V<- varargin[[1]] + V<- V/Norm(V) + THETA<<- acos(V[3]) + if(abs(sin(THETA))<Eps){ + PHI<<- 0 + } + else{ + PHI<<- acos(V[1]/sin(THETA)) + if(V[2]< -Eps) PHI<<- -PHI + } + } + else{ + PHI<<- varargin[[2]]*pi/180 + THETA<<- varargin[[1]]*pi/180 + } + Out<- paste("theta=",as.character(THETA*180/pi)," phi=", + as.character(PHI*180/pi),sep="") + return (Out) +} + +################################# + +Setpers<- function(...){ + varargin<- list(...) + Nargs<- length(varargin) + if(Nargs==0){ + } + else{ + FocusPoint<<- varargin[[1]] + EyePoint<<- varargin[[2]] + } + F<- as.character(FocusPoint) + E<- as.character(EyePoint) + Out<- paste("Focus = c(",F[1],",",F[2],",",F[3],") , ", + " Eye = c(", E[1],",",E[2],",",E[3],") ",sep="") + return (Out) +} + +################################# + +SetstereoL<- function(R,T,P,H){ + X<- R*sin(T*pi/180)*cos(P*pi/180) + Y<- R*sin(T*pi/180)*sin(P*pi/180) + Z<- R*cos(T*pi/180) + Eye<- c(X+H/2*Y/(X^2+Y^2),Y-H/2*X/(X^2+Y^2),Z) + Out<- Setpers(c(0,0,0),Eye) + return(Out) +} + +################################# + +SetstereoR<- function(R,T,P,H){ + X<- R*sin(T*pi/180)*cos(P*pi/180) + Y<- R*sin(T*pi/180)*sin(P*pi/180) + Z<- R*cos(T*pi/180) + Eye<- c(X-H/2*Y/(X^2+Y^2),Y+H/2*X/(X^2+Y^2),Z) + Out<- Setpers(c(0,0,0),Eye) + return(Out) +} + +############################### + +Sf3data<- function(...){ + varargin<-list(...) + Nargs<- length(varargin) + FdL<- Fullformfunc(varargin[[1]]) + F<- Op(1,FdL) + Xf<- Op(2,FdL) + Yf<- Op(3,FdL) + Zf<- Op(4,FdL) + Urg<- Op(5,FdL) + Vrg<- Op(6,FdL) + Str<- strsplit(Urg,"=",fixed=TRUE)[[1]] + U<- Str[1] + Tmp<- Str[2] + Tmp<- eval(parse(text=Tmp)) + Umin<- Tmp[1]; Umax<- Tmp[2] + Str<- strsplit(Vrg,"=",fixed=TRUE)[[1]] + V<- Str[1] + Tmp<- Str[2] + Tmp<- eval(parse(text=Tmp)) + Vmin<- Tmp[1]; Vmax<- Tmp[2] + Ndu<- 25 ; Ndv<- 25; Np<- c(50,50) + if(Nargs>=3){ + Ndu<- varargin[[2]] + Ndv<- varargin[[3]] + } + if(Nargs>=4){ + Np<- varargin[[4]] + if(mode(Np)=="numeric" && length(Np)==1){ + Np<- c(Np,Np) + } + } + Du<- (Umax-Umin)/Ndu + Dv<- (Vmax-Vmin)/Ndv + PL <- c()#PL <- [] + Assign("Vmin",Vmin,"Vmax",Vmax) + Trgstr<- Assign("t=c(Vmin,Vmax)") + PL <- list() + for (I in Looprange(0,Ndu)){ + U0 <- paste("(",as.character(Umin+I*Du),")",sep="") + Tmp<- gsub(U,U0,Xf,fixed=TRUE) + Tmp1<- gsub(V,"t",Tmp,fixed=TRUE) + Tmp<- gsub(U,U0,Yf,fixed=TRUE) + Tmp2<- gsub(V,"t",Tmp,fixed=TRUE) + Tmp<- gsub(U,U0,Zf,fixed=TRUE) + Tmp3<- gsub(V,"t",Tmp,fixed=TRUE) + Tmp<- paste("c(",Tmp1,",",Tmp2,",",Tmp3,")",sep="") + PD<- Spacecurve(Tmp,Trgstr,paste("N=",as.character(Np[2]))) + PL<- c(PL,list(PD)) + } + Assign("Umin",Umin,"Umax",Umax) + Trgstr<- Assign("t=c(Umin,Umax)") + for (J in Looprange(0,Ndv)){ + V0<- paste("(",as.character(Vmin+J*Dv),")",sep="") + Tmp<- gsub(V,V0,Xf,fixed=TRUE) + Tmp1<- gsub(U,"t",Tmp,fixed=TRUE) + Tmp<- gsub(V,V0,Yf,fixed=TRUE) + Tmp2<- gsub(U,"t",Tmp,fixed=TRUE) + Tmp<- gsub(V,V0,Zf,fixed=TRUE) + Tmp3<- gsub(U,"t",Tmp,fixed=TRUE) + Tmp<- paste("c(",Tmp1,",",Tmp2,",",Tmp3,")") + PD<- Spacecurve(Tmp,Trgstr,paste("N=",as.character(Np[1]))) + PL<- c(PL,list(PD)) + } + return(PL) +} + +################################### + +Skeletonparadata<- function(...){ + varargin<-list(...) + Nargs<- length(varargin) + Out<- list() + ObjL<- Flattenlist(varargin[[1]]) + Plt3L<- Flattenlist(varargin[[2]]) + R<- 0.075*1000/2.54/MilliIn + if(Nargs>2){ + R<- R*varargin[[3]] + } + Eps2<- 0.05 + if(Nargs>3){ + Eps2<- varargin[[4]] + } + Obj2L<- list() + for (I in Looprange(1,Mixlength(ObjL))){ + Tmp<- ProjcoordCurve(Op(I,ObjL)) + Obj2L<- c(Obj2L,list(Tmp)) + } + Plt2L<- list() + for (I in Looprange(1,Mixlength(Plt3L))){ + Tmp<- ProjcoordCurve(Op(I,Plt3L)) + Plt2L<- c(Plt2L,list(Tmp)) + } + Out<- Makeskeletondata(Obj2L,Plt2L,R,Eps2) + return(Out) +} + +################################ + +Skeletonpara3data<- function(...){ + varargin<-list(...) + Nargs<- length(varargin) + ObjL<- Flattenlist(varargin[[1]]) + Plt3L<- Flattenlist(varargin[[2]]) + R<- 0.075*1000/2.54/MilliIn + if(Nargs>2){ + R=R*varargin[[3]] + } + Eps2<- 0.05 + if(Nargs>3){ + Eps2<- varargin[[4]] + } + Plt2L<- list() + for (I in Looprange(1,Mixlength(Plt3L))){ + Tmp<- ProjcoordCurve(Op(I,Plt3L)) + Plt2L<- c(Plt2L,list(Tmp)) + } + Out<- list() + for (I in Looprange(1,Mixlength(ObjL))){ + Obj3<- Op(I,ObjL) + Tmp<- ProjcoordCurve(Obj3) + Data<- Makeskeletondata(list(Tmp),Plt2L,R,Eps2) + for (J in Looprange(1,Mixlength(Data))){ + Gd<- Op(J,Data) + PtD<- c() + for (J in Looprange(1,Nrow(Gd))){ + Tmp<- Ptcrv(J,Gd) + Tmp1<- Invparapt(Tmp,Obj3) + Tmp1<- Op(1,Tmp1) + PtD<- c(PtD,Tmp1) + } + PtD<- matrix(PtD,ncol=3,byrow=TRUE) + Out<- c(Out,list(PtD)) + } + } + return(Out) +} + +################################# + +#100815 +Skeletonpersdata<- function(...){ + varargin<-list(...) + Nargs<- length(varargin) + Out<- list() + ObjL<- Flattenlist(varargin[[1]]) + Plt3L<- Flattenlist(varargin[[2]]) + R<- 0.075*1000/2.54/MilliIn + if(Nargs>2){ + R<- R*varargin[[3]] + } + Eps2<- 0.05 + if(Nargs>3){ + Eps2<- varargin[[4]] + } + Obj2L<- list() + for (I in Looprange(1,Mixlength(ObjL))){ + Tmp<- CameracoordCurve(Op(I,ObjL)) + Obj2L<- c(Obj2L,list(Tmp)) + } + Plt2L<- list() + for (I in Looprange(1,Mixlength(Plt3L))){ + Tmp<- CameracoordCurve(Op(I,Plt3L)) + Plt2L<- c(Plt2L,list(Tmp)) + } + Out<- Makeskeletonpersdata(Obj2L,Plt2L,R,Eps2) + return(Out) +} + +##################### +#100815 +Skeletonpers3data<- function(...){ + varargin<-list(...) + Nargs<- length(varargin) + Out<- list() + ObjL<- Flattenlist(varargin[[1]]) + Plt3L<- Flattenlist(varargin[[2]]) + R<- 0.075*1000/2.54/MilliIn + if(Nargs>2){ + R<- R*varargin[[3]] + } + Eps2<- 0.05 + if(Nargs>3){ + Eps2<- varargin[[4]] + } + Plt2L<- list() + for (I in Looprange(1,Mixlength(Plt3L))){ + Tmp<- CameracoordCurve(Op(I,Plt3L)) + Plt2L<- c(Plt2L,list(Tmp)) + } + Out<- list() + for (I in Looprange(1,Mixlength(ObjL))){ + Obj3<- Op(I,ObjL) + Tmp<- CameracoordCurve(Obj3) + Data<- Makeskeletonpersdata(list(Tmp),Plt2L,R,Eps2) + for (J in Looprange(1,Mixlength(Data))){ + Gd<- Op(J,Data) + PtD<- c() + for (J in Looprange(1,Nrow(Gd))){ + Tmp<- Gd[J,] + Tmp1<- Invperspt(Tmp,Obj3) + Tmp1<- Op(1,Tmp1) + PtD<- rbind(PtD,Tmp1) + } + Out<- c(Out,list(PtD)) + } + } + return(Out) +} + +################################# + +Spacecurve<- function(...){ + Eps<- 10^(-5) + varargin<-list(...) + Nargs<- length(varargin) + Fnstr<- varargin[[1]] + Rgstr<- varargin[[2]] + Range<- c(0,2*pi) + N<- 50 #Numpoints + E<- c() #Exclusions + D<- Inf #Discont (Changed) + for(I in Looprange(3,Nargs)){ + Tmp<- varargin[[I]] + StrV<- strsplit(Tmp,"=",fixed=TRUE) + StrV<- StrV[[1]] + Tmp1<- toupper(StrV[1]) + Lhs<- substr(Tmp1,1,1) + Str<- paste(Lhs,"=",StrV[2],sep="") + eval(parse(text=Str)) + } + StrV<- strsplit(Rgstr,"=",fixed=TRUE) + StrV<- StrV[[1]] + if(length(StrV)>1){ + Vname<- StrV[1] + Rng<- eval(parse(text=StrV[2])) + } + else{ + Vname<- Rgstr + Rng<- c(XMIN,XMAX) + } + T1<- Rng[1]; T2<- Rng[2] + Dt<- (T2-T1) #180929 + Str<- gsub(Vname,"t",Fnstr) + Str=gsub("[","c(",Str,fixed=TRUE) #17.12.22(2lines) + Str=gsub("]",")",Str,fixed=TRUE) + if(abs(Dt/N)<Eps){ #180929 + t=T1 + P=eval(parse(text=Str)) + return(P) + } + P<- c() +# E<- sort(E,decreasing=FALSE) + E<- c(E,Inf) + E<- sort(E,decreasing=FALSE) + Ke<- 1 + for(jj in 1:(N+1)){ + t=T1+(jj-1)*Dt/N #180929 + Pa<- c() + if(t-E[Ke]< Eps){ + Pa<- eval(parse(text=Str)) + } + if(abs(t-E[Ke])<=Eps){ + if(length(P)>0 && P[Nrow(P),1]!=Inf){ + Pa<- c(Inf,Inf,Inf) + } + } + if(t-E[Ke]>Eps){ + Pa<- eval(parse(text=Str)) + Ke<- Ke+1 + } + if(length(Pa)>0){ + if(Pa[1]==Inf){ + P<- rbind(P,Pa) + }else if(length(P)==0){ + P<- rbind(c(),c(Pa)) + } + else{ + Tmp<- P[Nrow(P),] + if(Tmp[1]==Inf){ + P<- rbind(P,Pa) + } + else if( Norm(Tmp-Pa)<D){ + P<- rbind(P,Pa) + } + else{ + P<- rbind(P,c(Inf,Inf,Inf)) + P<- rbind(P,Pa) + } + } + } + } + rownames(P)<- 1:Nrow(P) # 10.08.16 + return(P) +} + +######################################## + +Spaceline<- function(...){ + varargin<- list(...) + Z<- c() + for(I in 1:length(varargin)){ + Data<- varargin[[I]] + if(Mixtype(Data)==1){ + J<- 1 + while (J<=Ncol(Data)){ + Tmp<- Data[J:(J+2)] + Z<-c(Z,Tmp) + J<- J+3 + } + next + } + if(Mixtype(Data)==3){ + Tmp<- list() + for(I in 1:Mixlength(Data)){ + Tmp<- c(Tmp,Op(I,Data)) + } + Data<- Tmp + } + for(J in 1:Mixlength(Data)){ + Tmp<- Op(J,Data) + Z<- c(Z,Tmp) + } + } + Z<- matrix(Z,ncol=3,byrow=TRUE) + return(Z) +} + +############################################### + +Xyzax3data<- function(Xrange,Yrange,Zrange){ + StrV<-strsplit(Xrange,"=",fixed=TRUE) + StrV<- StrV[[1]] + if(length(StrV)>1) StrV<- StrV[2] + Tmp<- eval(parse(text=StrV)) + Px<- c(Tmp[1],0,0) + Qx<- c(Tmp[2],0,0) + StrV<-strsplit(Yrange,"=",fixed=TRUE) + StrV<- StrV[[1]] + if(length(StrV)>1) StrV<- StrV[2] + Tmp<- eval(parse(text=StrV)) + Py<- c(0,Tmp[1],0) + Qy<- c(0,Tmp[2],0) + StrV<-strsplit(Zrange,"=",fixed=TRUE) + StrV<- StrV[[1]] + if(length(StrV)>1) StrV<- StrV[2] + Tmp<- eval(parse(text=StrV)) + Pz<- c(0,0,Tmp[1]) + Qz<- c(0,0,Tmp[2]) + Out<- list(Spaceline(Px,Qx),Spaceline(Py,Qy),Spaceline(Pz,Qz)) + return(Out) +} + +################################### + +Xyzaxparaname<- function(...){ + varargin<- list(...) + Nargs<- length(varargin) + Eps<- 10.0^(-6) + Dr<- 0.19*1000/2.54/MilliIn + Tmp<- varargin[[Nargs]] + if(Nargs>1 && is.numeric(Tmp)){ + Dr<- Dr*Tmp + Nargs<- Nargs-1 + } + if(mode(varargin[[1]])=="character"){ + Xname<- "x" + Yname<- "y" + Zname<- "z" + Xrange<- varargin[[1]] + Yrange<- varargin[[2]] + Zrange<- varargin[[3]] + StrV<-strsplit(Xrange,"=",fixed=TRUE) + StrV<- StrV[[1]] + if(length(StrV)>1){ + Xname<- StrV[1] + StrV<- StrV[2] + } + Tmp<- eval(parse(text=StrV)) + Px<- c(Tmp[1],0,0) + Qx<- c(Tmp[2],0,0) + StrV<-strsplit(Yrange,"=",fixed=TRUE) + StrV<- StrV[[1]] + if(length(StrV)>1){ + Yname<- StrV[1] + StrV<- StrV[2] + } + Tmp<- eval(parse(text=StrV)) + Py<- c(0,Tmp[1],0) + Qy<- c(0,Tmp[2],0) + StrV<-strsplit(Zrange,"=",fixed=TRUE) + StrV<- StrV[[1]] + if(length(StrV)>1){ + Zname<- StrV[1] + StrV<- StrV[2] + } + Tmp<- eval(parse(text=StrV)) + Pz<- c(0,0,Tmp[1]) + Qz<- c(0,0,Tmp[2]) + }else{ + Data<- varargin[[1]] + Xname<- "x"; Yname<- "y"; Zname<- "z" + if(Nargs>1){ + if(varargin[[2]]!=""){ + Xname<- varargin[[2]] + } + if(varargin[[3]]!=""){ + Yname<- varargin[[3]] + } + if(varargin[[4]]!=""){ + Zname<- varargin[[4]] + } + } + Tmp<- Op(1,Data) + Px<- Tmp[1,]; Qx<- Tmp[2,] + Tmp<- Op(2,Data) + Py<- Tmp[1,] + Qy<- Tmp[2,] + Tmp<- Op(3,Data) + Pz<- Tmp[1,] + Qz<- Tmp[2,] + } + Ph<- Parapt(Px); Qh<- Parapt(Qx); R<-Norm(Ph-Qh) + Kekka<- list() + if(R>Eps){ + Ch<- Qh+Dr/R*(Qh-Ph) + Kekka<- c(Kekka,list(Pointdata(Ch))) + Expr(Ch,"c",Xname) + } + Ph<- Parapt(Py); Qh<- Parapt(Qy); R<- Norm(Ph-Qh) + if(R>Eps){ + Ch<- Qh+Dr/R*(Qh-Ph) + Kekka<- c(Kekka,list(Pointdata(Ch))) + Expr(Ch,"c",Yname) + } + Ph<- Parapt(Pz); Qh<- Parapt(Qz); R<- Norm(Ph-Qh) + if(R>Eps){ + Ch<- Qh+Dr/R*(Qh-Ph) + Kekka<- c(Kekka,list(Pointdata(Ch))) + Expr(Ch,"c",Zname) + } +# return(Kekka) +} + +################################### + +Xyzaxpersname<- function(...){ + varargin<- list(...) + Eps<- 10.0^(-6) + Nargs<- length(varargin) + Dr<- 0.19*1000/2.54/MilliIn + Tmp<- varargin[[Nargs]] + if(Nargs>1 && mode(Tmp)=="numeric"){ + Dr<- Dr*Tmp + Nargs<- Nargs-1 + } + if(mode(varargin[[1]])=="character"){ + Xname<- "x" + Yname<- "y" + Zname<- "z" + Xrange<- varargin[[1]] + Yrange<- varargin[[2]] + Zrange<- varargin[[3]] + StrV<-strsplit(Xrange,"=",fixed=TRUE) + StrV<- StrV[[1]] + if(length(StrV)>1){ + Xname<- StrV[1] + StrV<- StrV[2] + } + Tmp<- eval(parse(text=StrV)) + Px<- c(Tmp[1],0,0) + Qx<- c(Tmp[2],0,0) + StrV<-strsplit(Yrange,"=",fixed=TRUE) + StrV<- StrV[[1]] + if(length(StrV)>1){ + Yname<- StrV[1] + StrV<- StrV[2] + } + Tmp<- eval(parse(text=StrV)) + Py<- c(0,Tmp[1],0) + Qy<- c(0,Tmp[2],0) + StrV<-strsplit(Zrange,"=",fixed=TRUE) + StrV<- StrV[[1]] + if(length(StrV)>1){ + Zname<- StrV[1] + StrV<- StrV[2] + } + Tmp<- eval(parse(text=StrV)) + Pz<- c(0,0,Tmp[1]) + Qz<- c(0,0,Tmp[2]) + }else{ + Data<- varargin[[1]] + Xname<- "x"; Yname<- "y"; Zname<- "z" + if(Nargs>1){ + if(varargin[[2]]!=""){ + Xname<- varargin[[2]] + } + if(varargin[[3]]!=""){ + Yname<- varargin[[3]] + } + if(varargin[[4]]!=""){ + Zname<- varargin[[4]] + } + } + Tmp<- Op(1,Data) + Px<- Tmp[1,]; Qx<- Tmp[2,] + Tmp<- Op(2,Data) + Py<- Tmp[1,] + Qy<- Tmp[2,] + Tmp<- Op(3,Data) + Pz<- Tmp[1,] + Qz<- Tmp[2,] + } + Ph<- Perspt(Px) + Qh<- Perspt(Qx) + R<- Norm(Ph-Qh) + Kekka<- list() + if(R>Eps){ + Ch<- Qh+Dr/R*(Qh-Ph) + Kekka<- c(Kekka,list(Pointdata(Ch))) + Expr(Ch,"c",Xname) + } + Ph<- Perspt(Py) + Qh<- Perspt(Qy) + R<- Norm(Ph-Qh) + if(R>Eps){ + Ch<- Qh+Dr/R*(Qh-Ph) + Kekka<- c(Kekka,list(Pointdata(Ch))) + Expr(Ch,"c",Yname) + } + Ph<- Perspt(Pz) + Qh<- Perspt(Qz) + R<- Norm(Ph-Qh) + if(R>Eps){ + Ch<- Qh+Dr/R*(Qh-Ph) + Kekka<- c(Kekka,list(Pointdata(Ch))) + Expr(Ch,"c",Zname) + } +# return(Kekka) +} + +######################### +#100815 +Zparapt<- function(P){ + x<- P[1]; y<- P[2]; z<- P[3] + Out<- x*cos(PHI)*sin(THETA)+y*sin(PHI)*sin(THETA)+z*cos(THETA) + return(Out) +} + +######################### +#100815 +Zperspt<- function(P){ + Tmp<- P-FocusPoint + X1<- Tmp[1]; Y1<- Tmp[2]; Z1<- Tmp[3] + Tmp<- EyePoint-FocusPoint + E1<- Tmp[1]; F1<- Tmp[2]; G1<- Tmp[3] + Ca<- E1/sqrt(E1^2+F1^2) + Sa<- F1/sqrt(E1^2+F1^2) + X2<- X1*Ca+Y1*Sa; Y2<- -X1*Sa+Y1*Ca; Z2<- Z1 + E2<- E1*Ca+F1*Sa; F2<- -E1*Sa+F1*Ca; G2<- G1 + Cb<- E2/sqrt(E2^2+G2^2) + Sb<- G2/sqrt(E2^2+G2^2) + X3<- X2*Cb+Z2*Sb + return(X3) +} + +########################################## + + + +########################################## + +# Stat Package + +########################################## + +# 2010.04.12 + +# new + +# Htickmarklower, Vtickmarkleft, HtickmarklowerV +# VtickmarkleftV, Insertcom, Replacecom +# Maketexfile, Formatting +# Drwhistframe, Histplotdata, Drwhistplot + +Htickmarklower<- function(...) +{ ## Scaling is implemented + varargin<- list(...) + Nargs<- length(varargin) + ArgsL<- varargin + if(mode(ArgsL[[1]])=="character"){ + Str<- ArgsL[[1]] + Tmp<- strsplit(Str,"m") + Tmp<- Tmp[[1]] + if(length(Tmp)>1){ + I<- nchar(Tmp[1])+1 + } + else{ + I<- 0 + } + Tmp<- strsplit(Str,"n") + Tmp<- Tmp[[1]] + if(length(Tmp)>1){ + J<- nchar(Tmp[1])+1 + } + else{ + J<- 0 + } + Tmp<- strsplit(Str,"r") + Tmp<- Tmp[[1]] + if(length(Tmp)>1){ + K=nchar(Tmp[1])+1 + } + else{ + K<- 0 + } + if(K>0){ + S<- substr(Str,K+1,nchar(Str)) + R<- as.numeric(S) + if(is.na(R)){ + R<- 1 + } + } + else{ + R<- 1 + K<- nchar(Str)+1 + } + if(J>0){ + S<- substr(Str,J+1,K-1) + Dn<- as.numeric(S) + if(is.na(Dn)){ + Dn<- 1 + } + } + else{ + Dn<- 1000 + J<- nchar(Str)+1 + } + S<- substr(Str,I+1,J-1) + Dm<- as.numeric(S) + if(is.na(Dm)){ + Dm<- 1 + } + ArgsL<- list() + for (I in Looprange(1, floor((XMAX-GENTEN[1])/Dm))){ + ArgsL<- Mixjoin(ArgsL,I*Dm) + if(I-floor(I/Dn)*Dn==0){ + Str<- as.character(I*Dm*R) + ArgsL<- Mixjoin(ArgsL,Str) + } + } + for (I in seq(-1,ceiling((XMIN-GENTEN[1])/Dm),by=-1)){ + ArgsL<- Mixjoin(ArgsL,I*Dm) + if(I-floor(I/Dn)*Dn==0){ + Str<- as.character(I*Dm*R) + ArgsL<- Mixjoin(ArgsL,Str) + } + } + } + MemoriList<- list() + Memori<- list() + for (N in 1:length(ArgsL)){ + Dt<- ArgsL[[N]] + if(mode(Dt)=="numeric" && length(Dt)>1){ + if(length(Memori)>0){ + MemoriList<- Mixjoin(MemoriList,list(Memori)) + } + Memori<- list(Dt) + next + } + if(mode(Dt)=="character"){ + Memori<- Mixjoin(Memori,Dt) + } + else{ + if(length(Memori)>0){ + MemoriList<- Mixjoin(MemoriList,list(Memori)) + } + Memori<- list(Dt,GENTEN[2]) + } + } + MemoriList<- Mixjoin(MemoriList,list(Memori)) + for (N in 1:length(MemoriList)){ + Dt<- MemoriList[[N]] + Ndt<- length(Dt) + X=Op(1,Dt) + Y=Op(2,Dt) + Tmp<-Doscaling(c(X,Y)) + X<- Tmp[1] + Y<- Tmp[2] + Moji<- Op(Ndt,Dt) + Tmp1<- Unscaling(c(X,Y)) + Tmp2<- Unscaling(c(X,Y-2*MARKLEN)) + Fd<- Listplot(c(Tmp1,Tmp2)) + Drwline(Fd) + if(Ndt==3){ + Tmp<-Unscaling(c(X,Y-2*MARKLEN)) + Expr(Tmp,"s",Moji) + } + if(Ndt==4){ + Houkou<- Op(3,Dt) + Tmp<-grep("s",Houkou) + if(length(Tmp)>0){ + Tmp<-Unscaling(c(X,Y-2*MARKLEN)) + Expr(Tmp,Houkou,Moji) + } + else{ + Tmp<- Unscaling(c(X,Y)) + Expr(Tmp,Houkou,Moji) + } + } + cat("%\n",file=Wfile,append=TRUE) + } +} + +Vtickmarkleft<- function(...) +{ ## Scaling is implemented + varargin<- list(...) + Nargs<- length(varargin) + ArgsL<- varargin + if(mode(ArgsL[[1]])=="character"){ + Str<- ArgsL[[1]] + Tmp<- strsplit(Str,"m") + Tmp<- Tmp[[1]] + if(length(Tmp)>1){ + I<- nchar(Tmp[1])+1 + } + else{ + I<- 0 + } + Tmp<- strsplit(Str,"n") + Tmp<- Tmp[[1]] + if(length(Tmp)>1){ + J<- nchar(Tmp[1])+1 + } + else{ + J<- 0 + } + Tmp<- strsplit(Str,"r") + Tmp<- Tmp[[1]] + if(length(Tmp)>1){ + K=nchar(Tmp[1])+1 + } + else{ + K<- 0 + } + if(K>0){ + S<- substr(Str,K+1,nchar(Str)) + R<- as.numeric(S) + if(is.na(R)){ + R<- 1 + } + } + else{ + R<- 1 + K<- nchar(Str)+1 + } + if(J>0){ + S<- substr(Str,J+1,K-1) + Dn<- as.numeric(S) + if(is.na(Dn)){ + Dn<- 1 + } + } + else{ + Dn<- 1000 + J<- nchar(Str)+1 + } + S<- substr(Str,I+1,J-1) + Dm<- as.numeric(S) + if(is.na(Dm)){ + Dm<- 1 + } + ArgsL<- list() + for (I in 1:floor((YMAX-GENTEN[2])/Dm)){ + ArgsL<- Mixjoin(ArgsL,I*Dm) + if(I-floor(I/Dn)*Dn==0){ + Str<- as.character(I*Dm*R) + ArgsL<- Mixjoin(ArgsL,Str) + } + } + for (I in seq(-1,ceiling((YMIN-GENTEN[2])/Dm))){ + ArgsL<- Mixjoin(ArgsL,I*Dm) + if(I-floor(I/Dn)*Dn==0){ + Str<- as.character(I*Dm*R) + ArgsL<- Mixjoin(ArgsL,Str) + } + } + } + MemoriList<- list() + Memori<- list() + for (N in 1:length(ArgsL)){ + Dt<- ArgsL[[N]] + if(mode(Dt)=="numeric" && length(Dt)>1){ + if(length(Memori)>0){ + MemoriList<- Mixjoin(MemoriList,list(Memori)) + } + Memori<- list(Dt) + next + } + if(mode(Dt)=="character"){ + Memori<- Mixjoin(Memori,Dt) + } + else{ + if(length(Memori)>0){ + MemoriList<- Mixjoin(MemoriList,list(Memori)) + } + Memori<- list(GENTEN[1],Dt) + } + } + MemoriList<- Mixjoin(MemoriList,list(Memori)) + for (N in 1:length(MemoriList)){ + Dt<- MemoriList[[N]] + Ndt<- length(Dt) + X=Op(1,Dt) + Y=Op(2,Dt) + Tmp<-Doscaling(c(X,Y)) + X<- Tmp[1] + Y<- Tmp[2] + Moji<- Op(Ndt,Dt) + Tmp1<- Unscaling(c(X,Y)) + Tmp2<- Unscaling(c(X-2*MARKLEN,Y)) + Fd<- Listplot(c(Tmp1,Tmp2)) + Drwline(Fd) + if(Ndt==3){ + Tmp<-Unscaling(c(X-2*MARKLEN,Y)) + Expr(Tmp,"w",Moji) + } + if(Ndt==4){ + Houkou<- Op(3,Dt) + Tmp<-grep("w",Houkou) + if(length(Tmp)>0){ + Tmp<-Unscaling(c(X-2*MARKLEN,Y)) + Expr(Tmp,Houkou,Moji) + } + else{ + Tmp<- Unscaling(c(X,Y)) + Expr(Tmp,Houkou,Moji) + } + } + cat("%\n",file=Wfile,append=TRUE) + } +} + +HtickmarklowerV<- function(Vec,digits=2,nsmall=2) +{ + for (I in 1:length(Vec)){ + Tmp<- Vec[I] + Htickmarklower(Tmp, Formatting(Tmp,digits,nsmall)) + } +} + +HtickLV<- function(...) +{ + HtickmarklowerV(...) +} + +VtickmarkleftV<- function(Vec,digits=2,nsmall=2) +{ + for (I in 1:length(Vec)){ + Tmp<- Vec[I] + Vtickmarkleft(Tmp, Formatting(Tmp,digits,nsmall)) + } +} + +VtickLV<- function(...) +{ + VtickmarkleftV(...) +} + +Insertcom<- function(CmdM,Npos,Str) +{ + if(is.matrix(CmdM)){ + Cmd<- CmdM + } + else{ + C<- paste("Cmd<- ",CmdM) + eval(parse(text=C)) + } + Out<- Cmd[Looprange(1,Npos-1),] + Out<- c(Out,Str) + Tmp<- Cmd[Looprange(Npos,nrow(Cmd)),] + Out<- c(Out,Tmp) + Out<- matrix(Out) + if(!is.matrix(CmdM)){ + C<- paste(CmdM,"<<- Out") + eval(parse(text=C)) + } + return(Out) +} + +Replacecom<- function(CmdM,Npos,Str) +{ + if(is.matrix(CmdM)){ + Cmd<- CmdM + } + else{ + C<- paste("Cmd<- ",CmdM) + eval(parse(text=C)) + } + Out<- Cmd[Looprange(1,Npos-1),] + Out<- c(Out,Str) + Tmp<- Cmd[Looprange(Npos+1,nrow(Cmd)),] + Out<- c(Out,Tmp) + Out<- matrix(Out) + if(!is.matrix(CmdM)){ + C<- paste(CmdM,"<<- Out") + eval(parse(text=C)) + } + return(Out) +} + +Deletecom<- function(CmdM,Npos) +{ + if(is.matrix(CmdM)){ + Cmd<- CmdM + } + else{ + C<- paste("Cmd<- ",CmdM) + eval(parse(text=C)) + } + Out<- Cmd[Looprange(1,Npos-1),] + Tmp<- Cmd[Looprange(Npos+1,nrow(Cmd)),] + Out<- c(Out,Tmp) + Out<- matrix(Out) + if(!is.matrix(CmdM)){ + C<- paste(CmdM,"<<- Out") + eval(parse(text=C)) + } + return(Out) +} + +Maketexfile<- function(commands="",texfile="") +{ + Openfile(texfile) + Execmd(commands) + Closefile() +} + +Formatting<- function(X,D=2,N=2) +{ + if(D>0){ + Xs <- format(X,digits=D,nsmall=N) + } + else{ + Xs<- as.character(X) + } + return(Xs) +} + +################################ + +Boxplotdata1 <-function(DataF1,CenterX,Width,...) +{ + Xr <- Width + Temp <- boxplot(DataF1[1],plot=FALSE) + Stats <- Temp$stats + rownames(Stats) <- c("Lhige","Q1","Q2","Q3","Uhige") + Out <- Temp$out + Lhige <- Stats["Lhige",1] + Uhige <- Stats["Uhige",1] + Q1 <- Stats["Q1",1] + Q2 <- Stats["Q2",1] + Q3 <- Stats["Q3",1] + CenterY <- (Q1+Q3)/2 + C <- c(CenterX,CenterY) + V <- c(0,(Q3-Q1)/2) + G1 <- Framedata(C,Xr/2,V[2]) # box + Temp1 <- c(0,Q1-Lhige) + Temp2 <- c(0,Uhige-Q3) + G2 <- Listplot(C-V,C-V-Temp1) # + G3 <- Listplot(C+V,C+V+Temp2) # + Temp3 <- c(Xr/4,0) + G4 <- Listplot(C-V-Temp1-Temp3,C-V-Temp1+Temp3) # + G5 <- Listplot(C+V+Temp2-Temp3,C+V+Temp2+Temp3) # + Temp4 <- c(0,Q3-Q2) + Temp5 <- c(Xr/2,0) + G6 <- Listplot(C+V-Temp4-Temp5,C+V-Temp4+Temp5) # + G7 <- list() + for(j in Looprange(1,length(Out))){ + G7 <- c(G7,list(c(CenterX, Out[j]))) + } + G7 <- G7[order(Out,decreasing=TRUE)] + list(median=G6,box=G1,uwhisker=G2,lwhisker=G3,lwp=G4,uwp=G5,outliers=G7) +} + +Boxplotdata2 <- function(Data,Ratio, ...) +{ + DataF<- Flattenlist(Data) # 11.07.21(from) + ymin<- Inf + ymax<- -Inf + for(J in 1:length(DataF)){ + Tmp<- DataF[[J]] + ymin<- min(ymin, min(Tmp)) + ymax<- max(ymax,max(Tmp)) + } # 11.07.21(until) + dy <- ymax-ymin + Setwindow(c(0,XMAX-XMIN),c(ymin-0.1*dy,ymax+0.1*dy)) + R1<- (YMAX-YMIN)/(XMAX-XMIN) + R<- Ratio/R1 + Setscaling(R) + Delta <- XMAX/length(DataF) + W <- 0.6*Delta + PdL <- list() + for(i in 1:length(DataF)){ # 11.07.21 + X <- (0.5+i-1)*Delta + G <- Boxplotdata1(DataF[i],X,W,...) + PdL <- c(PdL,list(G)) + } + G <- Framedata() + Tmp<- list(frame=G) + PdL <-c(PdL,list(Tmp)) + Epsi <-0 + Setwindow(c(XMIN-Epsi,XMAX+Epsi),c(YMIN-Epsi,YMAX+Epsi)) + return(PdL) +} + +Drwboxframe<-function(BoxDataL) +{ + Setorigin(c(XMIN,YMIN)) + Tmp<- Unscaling(c(0.2,0.2)) + Setwindow(c(XMIN-0.2,XMAX),c(YMIN-Tmp[2],YMAX)) + Hako<- BoxDataL$plotdata + title<- BoxDataL$title + cap<- BoxDataL$cap + ylab<- BoxDataL$ylab + if(mode(title)!="list") title<- list(title) + if(mode(cap)!="list") cap<- list(cap) + if(mode(ylab)!="list") ylab<- list(ylab) + if(length(title)==0) title<- list("") + if(length(title)==1) title<- c(title, list("n")) + if(length(title)==2) title<- c(title, list("")) + if(length(cap)==0) cap<- list("") + if(length(cap)==1) cap<- c(cap, list("n"),0) # 11.11.27 + if(length(cap)==2) cap<- c(cap, 0) # 11.11.27 + if(length(ylab)==0) ylab<- list("") + if(length(ylab)==1) ylab <- c(ylab, list("n")) + if(length(ylab)==2) ylab<- c(ylab, list("")) + Temp <- Hako[[length(Hako)]] + Drwline(Temp$frame) + Fontsize(cap[[2]]) + for(i in Looprange(1,length(Hako)-1)){ + Temp <- Hako[[i]] + attach(Temp) + Dashline(uwhisker,lwhisker) + Drwline(median,2) + Drwline(box,lwp,uwp) + Drwpt(outliers,0) + X <- uwhisker[1,1] + detach(Temp) + Htickmarklower(X) + if(nchar(cap[[1]])<1) next # 2011.03.08 + if(length(cap)==2 || cap[[3]]==0){ + pos<- 1 + if(length(cap)>=4) pos<- cap[[4]] + Tmp<- paste("s",as.character(pos),sep="") + Letter(c(X,YMIN),Tmp, Op(i,cap[[1]])) + } + else{ + rotate<- cap[[3]] + if(length(cap)==3){ + pos<- 0 + } + else{ + pos<- cap[[4]] + } + Temp1 <- rotate*pi/180 + Temp <- c(cos(Temp1),sin(Temp1)) + Letterrot(c(X,YMIN-pos),Temp,Op(i,cap[[1]])) + } + } + if(nchar(ylab[[1]])>0){ + Fontsize(ylab[[2]]) + Tmp1<- ylab[[1]] + Tmp3<- ylab[[3]] + if(nchar(Tmp3)>0){ + Tmp1<- paste("{\\",Tmp3," ",Tmp1,"}",sep="") + } + Letter(c(XMIN, YMAX),"n2",Tmp1) + Fontsize("n") + } + if(nchar(title[[1]])>0){ + Fontsize(title[[2]]) + Tmp1<- title[[1]] + Tmp3<- title[[3]] + if(nchar(Tmp3)>0){ + Tmp1<- paste("{\\",Tmp3," ",Tmp1,"}",sep="") + } + Letter(c((XMIN+XMAX)/2,YMAX),"n2",Tmp1) + } + Fontsize("n") +} + +Drwboxplot<- function(dataf,var,size, + title=list(""), cap=list(colnames(dataf)), + ylab=list(""), ptsize=5,plot=TRUE,...) + #Return : title,cap,ylab,commands,plotdata,info +{ + Tmp <- boxplot(dataf, plot=FALSE, ...) + Stats <- Tmp$stats + DataF<- Flattenlist(dataf) # 11.07.21(from) + ymin<- Inf + ymax<- -Inf + for(J in 1:length(DataF)){ + Tmp<- DataF[[J]] + ymin<- min(ymin, min(Tmp)) + ymax<- max(ymax,max(Tmp)) + } # 11.07.21(until) + Hako<- Boxplotdata2(dataf, size[2]/size[1], ...) + if(plot){ + Windisp(Hako) + } + Tmp<- Formatting(size[1]/(XMAX-XMIN),5,5) + unit<- paste(Tmp,"cm",sep="") + Setunitlen(unit) + Exstr<- c( + "","", + paste("Beginpicture(","'",unit,"')",sep=""), + paste("Setpt(",as.character(ptsize),")",sep=""), + "","", + paste("Drwboxframe(",var,")",sep=""), + paste("VtickLV(c(",as.character(ymin),",", as.character(ymax),"),0,0)",sep=""), + "","","","", + "Setpt(1)", + "Endpicture(0)" + ) + Exstr<- matrix(Exstr) + Xpos<- c() + for(i in Looprange(1,length(Hako)-1)){ + Temp <- Hako[[i]] + Temp1 <- Temp[[5]] + Xpos <- c(Xpos,Temp1[1,1]) + } + Info<- list(stats=Stats,window=matrix(c(XMIN,XMAX,YMIN,YMAX),nrow=2),xpos=Xpos) + Tmp<- paste(var,"<<- ", + "list(title=title,cap=cap,ylab=ylab,", + "commands=Exstr,plotdata=Hako,info=Info)",sep="") + eval(parse(text=Tmp)) +} + + +########################################### + +Histplotdata <- function(DataV,Ratio,freq=TRUE,densplot=FALSE,...) +# 10.12.07 freq +{ + Temp <- hist(DataV,plot=FALSE,...) + Breaks <- Temp$breaks + Counts <- Temp$counts + Density <- Temp$density + Mids <- Temp$mids + if(!freq){ + Data<- Density + } + else{ + Data<- Counts + } + Ghist <- list() + for(i in Looprange(1,length(Breaks)-1)){ + Tmp1 <- c(Breaks[i],Breaks[i+1]) + Tmp2 <- c(0,Data[i]) + G1 <- Framedata(Tmp1,Tmp2) #bar + Ghist <- c(Ghist,list(G1)) + } + Bin <- Breaks[2]-Breaks[1] + Eps <- 0.7*Bin # 0.7 times Bin + Temp1 <- c(min(Breaks)-Eps,max(Breaks)+Eps) # Put Eps at both sides + Temp2 <- c(0,max(Data)*1.02) + Setwindow(Temp1,Temp2) + Setorigin(c(Temp1[1],0)) + R1<- (YMAX-YMIN)/(XMAX-XMIN) + R<- Ratio/R1 + Setscaling(R) + VEps <- 0.05*(XMAX-XMIN)/5 + Temp1<- Temp1-c(VEps,0) + Temp2<- Temp2-1/R*c(VEps,0) + Setwindow(Temp1,Temp2) + Fpt <- c(Mids[1]-Bin,0) + Lpt <- c(Mids[length(Mids)]+Bin,0) + Fp <- matrix(Fpt,nrow=1) + for(i in Looprange(1,length(Mids))){ + Tmp <- c(Mids[i],Data[i]) + Fp <- rbind(Fp,Tmp) + } + Fp <- rbind(Fp,Lpt) + rownames(Fp)<- c(1:nrow(Fp)) + if(densplot){ + Temp <- density(DataV) + X <- matrix(Temp$x) + Y <- matrix(Temp$y) + Gdens <- cbind(X,Y) + } + else{ + Gdens <- list() + } + list(plotdata=list(histplot=Ghist,fpplot=list(Fp),densityplot=list(Gdens)), + breaks=Breaks,counts=Counts,density=Density,mids=Mids) +} + +Drwhistframe<-function(HistDataL) +{ + title<- HistDataL$title + xlab<- HistDataL$xlab + ylab<- HistDataL$ylab + if(mode(title)!="list") title<- list(title) + if(mode(xlab)!="list") cap<- list(xlab) + if(mode(ylab)!="list") cap<- list(ylab) + if(length(title)==0) title<- list("") + if(length(title)==1) title<- c(title, list("n")) + if(length(title)==2) title<- c(title, list("")) + if(length(xlab)==0) xlab<- list("") + if(length(xlab)==1) xlab<- c(xlab, list("n")) + if(length(xlab)==2) xlab<- c(xlab, list("")) + if(length(xlab)==3) xlab<- c(xlab, list(8)) + if(length(ylab)==0) ylab<- list("") + if(length(ylab)==1) ylab<- c(ylab, list("n")) + if(length(ylab)==2) ylab<- c(ylab, list("")) + if(nchar(title[[1]])>0){ + Fontsize(title[[2]]) + Tmp1<- title[[1]] + Tmp3<- title[[3]] + if(nchar(Tmp3)>0){ + Tmp1<- paste("{\\",Tmp3," ",Tmp1,"}",sep="") + } + Letter(c((XMIN+XMAX)/2,YMAX),"n2",Tmp1) + Fontsize("n") + } + if(nchar(xlab[[1]])>0){ + Fontsize(xlab[[2]]) + Tmp1<- xlab[[1]] + Tmp3<- xlab[[3]] + if(nchar(Tmp3)>0){ + Tmp1<- paste("{\\",Tmp3," ",Tmp1,"}",sep="") + } + Tmp4<- paste("s",as.character(xlab[[4]]),sep="") + Letter(c((XMIN+XMAX)/2,YMIN),Tmp4,Tmp1) + Fontsize("n") + } + if(nchar(ylab[[1]])>0){ + Fontsize(ylab[[2]]) + Tmp1<- ylab[[1]] + Tmp3<- ylab[[3]] + if(nchar(Tmp3)>0){ + Tmp1<- paste("{\\",Tmp3," ",Tmp1,"}",sep="") + } + Tmp<- Setorigin() + Letter(c(Tmp[1], YMAX),"n2",Tmp1) + Fontsize("n") + } + + Setax(2," ") + Setax(4," ") + Setax(6," ") +} + +Drwhistplot<- function(datav,var,size,freq=TRUE, + title=list(""), xlab=list(""), ylab=list(""), + plot=TRUE,densplot=FALSE,fpplot=TRUE,...) + #Output : title,xlab,ylab,commands,plotdata,info +{ + H <- Histplotdata(datav, size[2]/size[1], freq=freq,densplot=densplot,...) + Pd<- H$plotdata + Ghist <- list(histplot=Pd$histplot,densityplot=Pd$densityplot) # 10.12.07 + if(fpplot){ + Ghist<- c(Ghist,list(fpplot=Pd$fpplot)) + } + if(plot){ + Windisp(Ghist) + } + Tmp<- Formatting(size[1]/(XMAX-XMIN),5,5) + unit<- paste(Tmp,"cm",sep="") + Setunitlen(unit) + Infostr<- paste(var,"$info",sep="") + Brkstr<- paste(Infostr,"$breaks",sep="") + Midstr<- paste(Infostr,"$mids",sep="") + if(!freq){ + Digits<- ",2,2" + Denstr<- paste(Infostr,"$density",sep="") + } + else{ + Digits<- ",0,0" + Denstr<- paste(Infostr,"$counts",sep="") + } + + if(fpplot) Prefp<- "" else Prefp<- "#" + Exstr<- c( + "","", + paste("Beginpicture(","'",unit,"')",sep=""), + "","", + paste("Drwhistframe(",var,")",sep=""), + paste("HtickLV(",Midstr,",1,1)",sep=""), + paste("VtickLV(max(",Denstr,")",Digits,")",sep=""), + paste("Drwline(",var,"[['plotdata']]","$histplot)",sep=""), + paste(Prefp,"Dashline(",var,"[['plotdata']]","$fpplot)",sep=""), + paste("#Drwline(",var,"[['plotdata']]","$densityplot,2)",sep=""), + "","","","", + "Endpicture(1)" + ) + Exstr<- matrix(Exstr) + Info<- list(breaks=H$breaks,counts=H$counts,density=H$density,mids=H$mids, + window=matrix(c(XMIN,XMAX,YMIN,YMAX),nrow=2)) + Tmp<- paste(var,"<<- ", + "list(title=title,xlab=xlab,ylab=ylab,", + "commands=Exstr,plotdata=Ghist,info=Info)",sep="") + eval(parse(text=Tmp)) +} + +########################## +#17.09.30 + +Bezierpt<- function(t,Ptlist,Ctrlist){ + if(length(Ptlist)==6){ + P0=Ptlist[1:3] + P3=Ptlist[4:6] + P1=Ctrlist[1:3] + if(length(Ctrlist)==3){ + P2=P3 + flg3=0 + }else{ + P2=Ctrlist[4:6] + flg3=1 + } + }else{ + P0=Ptlist[1:2] + P3=Ptlist[3:4] + P1=Ctrlist[1:2] + if(length(Ctrlist)==2){ + P2=P3 + flg3=0 + }else{ + P2=Ctrlist[3:4] + flg3=1 + } + } + P4=(1-t)*P0+t*P1 + P5=(1-t)*P1+t*P2 + P6=(1-t)*P2+t*P3 + P7=(1-t)*P4+t*P5 + P8=(1-t)*P5+t*P6 + P9=(1-t)*P7+t*P8 + if(flg3==0){ + Out=P7 + }else{ + Out=P9 + } + return(Out) +} + +Bezier<- function(...){ + varargin<- list(...) + Nargs=length(varargin) + Ptlist=varargin[[1]] + Ctrlist=varargin[[2]] + Num=10 + for(J in Looprange(3,Nargs)){ + Tmp=varargin[[J]] + K=strsplit(Tmp,'=',fixe=TRUE) + K=K[[1]] + Tmp1=substring(K[1],1,1) + Lhs=toupper(Tmp1) + if(Lhs=="N"){ + Num=eval(parse(text=K[2])) + } + } + if(length(Num)==1){ + Num=rep(Num,length(Ctrlist)) #17.10.08 + } + Out=c() + for(ii in Looprange(1,length(Ctrlist))){ + Tmp1=c(Ptlist[[ii]],Ptlist[[ii+1]]) + Tmp2=Ctrlist[[ii]] + if(ii==1){ + St=0 + }else{ + St=1 + } + for(J in Looprange(St,Num[ii])){ + Tmp=Bezierpt(J/Num[ii],Tmp1,Tmp2) + Out=Appendrow(Out,Tmp) + } + } + return(Out) +} + +####################### +# 17.10.02 + +Connectseg<- function(...){ + varargin=list(...) + Nargs=length(varargin) + Pdata=varargin[[1]] + Eps=10^(-4) + if(Nargs>=2){ + Eps=varargin[[2]] + } + if(is.matrix(Pdata)){ + Din=Dataindex(Pdata) + tmp1=list() + for(J in 1:nrow(Din)){ + tmp=Pdata[Din[J,1]:Din[J,2],] + tmp1=c(tmp1,list(tmp)) + } + Pdata=tmp1 + } + PlotL=list(Op(1,Pdata)) + VI=Looprange(2,length(Pdata)) + while(length(VI)>0){ + Qd=Op(Length(PlotL),PlotL) + Ah=Op(1,Qd); Ao=Op(Length(Qd),Qd) + Flg=0 + for(J in 1:length(VI)){ + Tmp1=Op(VI[J],Pdata) + P=Op(1,Tmp1); Q=Op(Length(Tmp1),Tmp1) + if(Norm(P-Ao)<Eps){ + Tmp=Tmp1[Looprange(2,Length(Tmp1)),] + if(Length(Tmp)>0){ + Qd=Appendrow(Qd,Tmp) + } + PlotL[[length(PlotL)]]=Qd + VI=VI[-J] + Flg=1 + break + } + if(Norm(Q-Ao)<Eps){ + Tmp=Tmp1[(nrow(Tmp1)-1):1,] + Qd=Appendrow(Qd,Tmp) + PlotL[[length(PlotL)]]=Qd + VI=VI[-J] + Flg=1 + break + } + if(Norm(P-Ah)<Eps){ + Tmp=Tmp1[2:nrow(Tmp1),] + Qd=Appendrow(Tmp,Qd) + PlotL[[length(PlotL)]]=Qd + VI=VI[-J] + Flg=1 + break + } + if(Norm(Q-Ah)<Eps){ + Tmp=Tmp1[(nrow(Tmp1)-1):1,] + Qd=Appendrow(Tmp,Qd) + PlotL[[length(PlotL)]]=Qd + VI=VI[-J] + Flg=1 + break + } + } + if(Flg==0){ + PlotL=c(PlotL,Pdata[VI[1]]) + VI=VI[-1] + } + } + return(PlotL) +} + +Implicitplot<- function(...){ #180402 + varargin=list(...) + Eps=10^(-6) #190511 + Nargs=length(varargin) + Func=varargin[[1]] + Xrng=varargin[[2]] + Yrng=varargin[[3]] + Mdv=50;Ndv=50 + for (I in Looprange(4,length(varargin))){ + Str= varargin[[I]] + Tmp=strsplit(Str,"=",fixed=TRUE) + Tmp=Tmp[[1]] + Tmp1=toupper(Tmp[1]) + if(substring(Tmp1,1,1)=="N"){ + Mdv=eval(parse(text=Tmp[2])) + if(length(Mdv)==1){ + Ndv=Mdv + }else{ + Ndv=Mdv[2] + Mdv=Mdv[1] + } + } + } + Tmp=strsplit(Func,"=",fixed=TRUE) + Tmp=Tmp[[1]] + if(length(Tmp)==1){ + Fn=Func + }else{ + Fn=paste(Tmp[1],"-(",Tmp[2],")",sep="") + } + Tmp=strsplit(Xrng,"=",fixed=TRUE) + Tmp=Tmp[[1]] + Varx=Tmp[1] + Rngx=eval(parse(text=Tmp[2])) + Tmp=strsplit(Yrng,"=",fixed=TRUE) + Tmp=Tmp[[1]] + Vary=Tmp[1] + Rngy=eval(parse(text=Tmp[2])) + Tmp=paste("Impfun<- function(",Varx,",",Vary,"){",Fn,"}",sep="") + eval(parse(text=Tmp)) + dx=(Rngx[2]-Rngx[1]) #180929 + dy=(Rngy[2]-Rngy[1]) #180929 + out=list() + for(jj in 1:Ndv){ + yval1=Rngy[1]+(jj-1)*dy/Ndv #180929 + yval2=Rngy[1]+jj*dy/Ndv #180929 + xval1=Rngx[1] + eval11=Impfun(xval1,yval1) + eval12=Impfun(xval1,yval2) + for(ii in 1:Mdv){ + xval2=Rngx[1]+ii*dx/Mdv #180929 + eval21=Impfun(xval2,yval1) + eval22=Impfun(xval2,yval2) + pL=list(c(xval1,yval1));vL=c(eval11) + pL=c(pL,list(c(xval2,yval1)));vL=c(vL,eval21) + pL=c(pL,list(c(xval2,yval2)));vL=c(vL,eval22) + pL=c(pL,list(c(xval1,yval2)));vL=c(vL,eval12) + pL=c(pL,list(c(xval1,yval1)));vL=c(vL,eval11) + qL=c() + for(kk in 1:4){ + if(abs(vL[kk])<=Eps){ + qL=Appendrow(qL,pL[[kk]]) + }else{ + if(vL[kk]>Eps){ + if(vL[kk+1]< -Eps){ +# tmp=1/(vL[kk]-vL[kk+1])* +# (-vL[kk+1]*pL[[kk]]+vL[kk]*pL[[kk+1]]) + tmp1=pL[[kk]]; tmp2=pL[[kk+1]] #190508from + for(ii in 1:20){ #190511 + tmp=(tmp1+tmp2)/2 + tmp3=Impfun(tmp[1],tmp[2]) + if(abs(tmp3)<=Eps){break} + if(tmp3>Eps){tmp1=tmp}else{tmp2=tmp} + } #190508to + qL=Appendrow(qL,tmp) + } + }else{ + if(vL[kk+1]>Eps){ +# tmp=1/(-vL[kk]+vL[kk+1])* +# (vL[kk+1]*pL[[kk]]-vL[kk]*pL[[kk+1]]) + tmp1=pL[[kk]]; tmp2=pL[[kk+1]] #190508from + for(ii in 1:20){ #190511 + tmp=(tmp1+tmp2)/2 + tmp3=Impfun(tmp[1],tmp[2]) + if(abs(tmp3)<=Eps){break} + if(tmp3>Eps){tmp2=tmp}else{tmp1=tmp} + } #190508to + qL=Appendrow(qL,tmp) + } + } + } + } + xval1=xval2 + eval11=eval21 + eval12=eval22 + if(Length(qL)==2){ + out=c(out,list(qL)) + } + } + } + if(length(out)>0){ + out=Connectseg(out) + } + if(length(out)==1){ + out=out[[1]] + } + return(out) +} + +######################### +# 17.10.06 + +Deqdata=function(deq,rng,initt,initf,Num){ + Eps=10^(-3) + inf=10^3 + tmp=strsplit(deq,"=")[[1]] + tmp1=gsub("`","",tmp[1],fixed=TRUE) + tmp1=substring(tmp1,3,nchar(tmp1)-1) + Xname=strsplit(tmp1,",")[[1]] + func=tmp[2] + for(J in 1:(length(Xname))){ + tmp1=paste("X[",as.character(J),"]",sep="") + func=gsub(Xname[J],tmp1,func,fixed=TRUE) + } + tmp=strsplit(rng,"=")[[1]] + tname=tmp[1] + tmp=eval(parse(text=tmp[2])) + t1=tmp[1] + t2=tmp[2] + tmp=paste("function(",tname,",X){",func,"}",sep="") + funP=eval(parse(text=tmp)) + tmp=paste("function(",tname,",X){-",func,"}",sep="") + funN=eval(parse(text=tmp)) + dt=(t2-t1)/Num + tt=initt + X0=initf + pdL=c(tt,X0) + for(J in Looprange(1,floor((t2-initt)/dt))){ + kl1=dt*funP(tt,X0) + kl2=dt*funP(tt+dt/2,X0+kl1/2) + kl3=dt*funP(tt+dt/2,X0+kl2/2) + kl4=dt*funP(tt+dt,X0+kl3) + X0=X0+(kl1+2*kl2+2*kl3+kl4)/6 + tt=initt+J*dt + tmp=c(tt,X0) + if(Norm(tmp)>inf){break} + pdL=Appendrow(pdL,tmp) + } + tt=initt + X0=initf + for(J in Looprange(1,floor((initt-t1)/dt))){ + kl1=dt*funN(tt,X0) + kl2=dt*funN(tt+dt/2,X0+kl1/2) + kl3=dt*funN(tt+dt/2,X0+kl2/2) + kl4=dt*funN(tt+dt,X0+kl3) + X0=X0+(kl1+2*kl2+2*kl3+kl4)/6 + tt=initt-J*dt + tmp=c(tt,X0) + if(Norm(tmp)>inf){break} + pdL=Appendrow(tmp,pdL) + } + pdL +} + +Deqplot=function(...){ + varargin=list(...) + deq=varargin[[1]] + rng=varargin[[2]] + initt=varargin[[3]] + initf=varargin[[4]] + Num=50 + Sel=c(1,2) + for(J in Looprange(5,length(varargin))){ + tmp1=varargin[[J]] + if(is.character(tmp1)){ + tmp=strsplit(tmp1,"=")[[1]] + Num=eval(parse(text=tmp[2])) + }else{ + SeL=tmp1 + } + } + pdL=Deqdata(deq,rng,initt,initf,Num) + pdL=pdL[,SeL] +} + + +############## obj ############### + +Openobj<- function(Fnm){ + OBJFMT<<- "%7.4f" + NPOINT<<- 0 + NNORM<<- 0 + OBJSCALE<<- 1 + OBJFIGNO<<- 0 + OBJJOIN<<- 0 + Wfile<<- Fnm + Tmp=grep(".obj",Fnm,fixed=TRUE) + if(length(Tmp)==0){ + if(nchar(Fnm)>0){ + Wfile<<- paste(Fnm,".obj",sep="") + } + } + cat("",file=Wfile,sep="") + Wfile +} + +Closeobj<- function(){ + Wfile="" +} + +Writeobjpoint<- function(P){ + X=sprintf(OBJFMT,P[1]*OBJSCALE) + Y=sprintf(OBJFMT,P[2]*OBJSCALE) + Z=sprintf(OBJFMT,P[3]*OBJSCALE) + Str=paste("v",X,Y,Z,sep=" ") + Printobjstr(Str) + NPOINT<<- NPOINT+1 + return(NPOINT) +} + +Printobjstr<- function(Str){ + cat(Str,"\n",sep="",file=Wfile,append=TRUE) +} + +Objname<- function(){ + if(OBJJOIN==0){ + OBJFIGNO<<- OBJFIGNO+1 + Gname=paste("ketfig",as.character(OBJFIGNO),sep="") + Printobjstr(paste("# ",Gname,sep="")) + Printobjstr(paste("g ",Gname,sep="")) + } +} + +Objjoin<- function(...){ + varargin=list() + if(length(varargin)>0){ + OBJJOIN<<- abs(sign(varargin[[1]])) + } + OBJJOIN +} + +Objsurf<- function(...){ #17.12.18 + Args<- list(...) + Nargs<- length(Args) + Sel=Args[[Nargs]]; Nargs=Nargs-1 + Rf=Args[[1]] + N=2 + Mg=0; Ng=0 + if(is.numeric(Args[[N]])){ + if(length(Args[[N]])>2){ + U=Args[[N]] + Mg=length(U)-1 + N=N+1 + }else if(length(Args[[N]])==2){ + Intab=Args[[N]] + Ag=Intab[1]; Bg=Intab[2] + N=N+1 + }else{ + Ag=Args[N]; Bg=Args[N+1] + N=N+2 + } + }else{ + Tmp0=Args[[N]] + Tmp=grep("=",Tmp0,fixed=TRUE) + if(length(Tmp)>0){ + Tmp1=strsplit(Tmp0,"=") + Tmp0=Tmp1[[1]][2] + } + Intab=eval(parse(text=Tmp0)) + Ag=Intab[1]; Bg=Intab[2] + N=N+1 + } + if(is.numeric(Args[[N]])){ + if(length(Args[[N]])>2){ + V=Args[[N]] + Ng=length(V)-1 + N=N+1 + }else if(length(Args[[N]])==2){ + Intab=Args[[N]] + Cg=Intab[1]; Dg=Intab[2] + N=N+1 + }else{ + Cg=Args[[N]]; Dg=Args[[N+1]] + N=N+2 + } + }else{ # the case of is.character(Args[[N]]) + Tmp0=Args[[N]] + Tmp=grep("=",Tmp0,fixed=TRUE) + if(length(Tmp)>0){ + Tmp2=strsplit(Tmp0,"=") + Tmp0=Tmp2[[1]][2] + } + Intab=eval(parse(text=Tmp0)) + Cg=Intab[1]; Dg=Intab[2] + N=N+1 + } + if(Mg==0){ + Mg=Args[[N]] + N=N+1 + U=c() + for(J in Looprange(1,Mg+1)){ + U=c(U,Ag+(J-1)/Mg*(Bg-Ag)) + } + } + if(Ng==0){ + Ng=Args[[N]] + V=c() + for(K in Looprange(1,Ng+1)){ + V=c(V,Cg+(K-1)/Ng*(Dg-Cg)) + } + } + Objname() + PL=list() + for(J in Looprange(1,Mg+1)){ + for(K in Looprange(1,Ng+1)){ + P=Rf(U[J],V[K]) + Np=Writeobjpoint(P) + PL=c(PL,list(c(P,Np))) + } + } + Idx=1+(Ng+1)*(0:Mg) + Pus=PL[Idx] + Idx=(Ng+1)*(1:(Mg+1)) + Pue=PL[Idx] + Idx=1:(Ng+1) + Pvs=PL[Idx] + Idx=((Ng+1)*Mg+1):((Ng+1)*(Mg+1)) + Pve=PL[Idx] + Printobjstr("vt 0 0") + Printobjstr("vt 1 0") + Printobjstr("vt 1 1") + Printobjstr("vt 0 1") + for(J in Looprange(1,Mg)){ + for(K in Looprange(1,Ng)){ + P1=sprintf("%1d",Op(4,PL[[(Ng+1)*(J-1)+K]])) + P2=sprintf("%1d",Op(4,PL[[(Ng+1)*J+K]])) + P3=sprintf("%1d",Op(4,PL[[(Ng+1)*J+K+1]])) + P4=sprintf("%1d",Op(4,PL[[(Ng+1)*(J-1)+K+1]])) + N1=""; N2=""; N3=""; N4="" + if(Sel=="+"){ + Str=paste("f ",P1,"/1/",N1," ",P2,"/2/",N2," ",sep="") + Str=paste(Str,P3,"/3/",N3," ",P4,"/4/",N4,sep="") + }else{ + Str=paste("f ",P1,"/1/",N1," ",P4,"/4/",N4," ",sep="") + Str=paste(Str,P3,"/3/",N3," ",P2,"/2/",N2,sep="") + } + Printobjstr(Str) + } + } + list(U,V,Pus,Pue,Pvs,Pve) +} + +Objthicksurf<- function(...){ + Args=list(...) + Nargs=length(Args) + Sel=Args[[Nargs]]; Nargs=Nargs-1 #181128from + Selsurf=substring(Sel,1,1) + Selside=c("0","0","0","0") + Tmp=strsplit(Sel,"w");Tmp=Tmp[[1]] + if(length(Tmp)==2){ + Selside[[1]]=substr(Tmp[2],1,1) + } + Tmp=strsplit(Sel,"e");Tmp=Tmp[[1]] + if(length(Tmp)==2){ + Selside[[2]]=substr(Tmp[2],1,1) + } + Tmp=strsplit(Sel,"s");Tmp=Tmp[[1]] + if(length(Tmp)==2){ + Selside[[3]]=substr(Tmp[2],1,1) + } + Tmp=strsplit(Sel,"n");Tmp=Tmp[[1]] + if(length(Tmp)==2){ + Selside[[4]]=substr(Tmp[2],1,1) + } #181128to + Nfth=Args[[Nargs-2]] + Thick1=Args[[Nargs-1]] + Thick2=Args[[Nargs]] + Nargs=Nargs-3 + Rfth=Args[[1]] + N=2 + Mg=0; Ng=0 + if(is.numeric(Args[[N]])){ + if(length(Args[[N]])>2){ + U=Args[[N]] + Mg=length(U)-1 + N=N+1 + }else if(length(Args[[N]])==2){ + Intab=Args[[N]] + Ag=Intab[1]; Bg=Intab[2] + N=N+1 + }else{ + Ag=Args[[N]]; Bg=Args[[N+1]] + N=N+2 + } + }else{ + Tmp0=Args[[N]] + Tmp=strsplit(Tmp0,"=",fixe=TRUE) + if(length(Tmp)>0){ + Tmp0=Tmp[[1]][2] + } + Intab=eval(parse(text=Tmp0)) + Ag=Intab[1]; Bg=Intab[2] + N=N+1 + } + if(is.numeric(Args[[N]])){ + if(length(Args[[N]])>2){ + V=Args[[N]] + Ng=length(V)-1 + N=N+1 + }else if(length(Args[[N]])==2){ + Intab=Args[[N]] + Cg=Intab[1]; Dg=Intab[2] + N=N+1 + }else{ + Cg=Args[[N]]; Dg=Args[[N+1]] + N=N+2 + } + }else{ + Tmp0=Args[[N]] + Tmp=strsplit(Tmp0,"=",fixed=TRUE) + if(length(Tmp)>0){ + Tmp0=Tmp[[1]][2] + } + Intab=eval(parse(text=Tmp0)) + Cg=Intab[1]; Dg=Intab[2] + N=N+1 + } + if(Mg==0){ + Mg=Args[[N]] + N=N+1 + U=c() + for(J in Looprange(1,Mg+1)){ + U=c(U,Ag+(J-1)/Mg*(Bg-Ag)) + } + } + if(Ng==0){ + Ng=Args[[N]] + V=c() + for(K in Looprange(1,Ng+1)){ + V=c(V,Cg+(K-1)/Ng*(Dg-Cg)) + } + } + Objname() + Join=OBJJOIN + OBJJOIN<<- 1 + F1=function(u,v){ + Rfth(u,v)+Thick1*Nfth(u,v) + } + F2=function(u,v){ + Rfth(u,v)+Thick2*Nfth(u,v) + } + Dt1=Objsurf(F1,U,V,Selsurf) + if(Selsurf=="+"){ + Tmp="-" + }else{ + Tmp="+" + } + Dt2=Objsurf(F2,U,V,Tmp); + Out=list(Dt1,Dt2); + if(Selside[[1]]!="0"){ + Dt=Objrecs(Op(3,Dt1),Op(3,Dt2),Selside[[1]]) + Out=c(Out,list(Dt)) + } + if(Selside[[2]]!="0"){ + Dt=Objrecs(Op(4,Dt1),Op(4,Dt2),Selside[[2]]) + Out=c(Out,list(Dt)) + } + if(Selside[[3]]!="0"){ + Dt=Objrecs(Op(5,Dt1),Op(5,Dt2),Selside[[3]]) + Out=c(Out,list(Dt)) + } + if(Selside[[4]]!="0"){ + Dt=Objrecs(Op(6,Dt1),Op(6,Dt2),Selside[[4]]) + Out=c(Out,list(Dt)) + } + OBJJOIN<<- Join +} + +Objrecs<- function(...){ + Eps=10^(-6) + Args=list(...) + Nargs=length(Args) + Tmp=Args[[1]] + PtL=Flattenlist(Tmp) + for(J in Looprange(1,length(PtL))){ #17.12.23from + Tmp=PtL[[J]] + if(!is.matrix(Tmp)){ + PtL[[J]]=matrix(Tmp,nrow=1) + } + } #17.12.23until + PL1=list() + for(J in Looprange(1,length(PtL))){ + Tmp=PtL[[J]] + for(K in Looprange(1,nrow(Tmp))){ + PL1=c(PL1,list(Tmp[K,])) + } + } + Sel=Args[[Nargs]]; Nargs=Nargs-1 + Objname() + for(J in Looprange(1,length(PL1))){ + P=PL1[[J]] + if((length(P)<4) || (P[4]==0)){ + Np=Writeobjpoint(P) + PL1[[J]]=c(P[1:3],Np) + } + } + Tmp=Args[[2]] + if((is.numeric(Tmp)) && (length(Tmp)==1)){ + Drv=Tmp + Len=Norm(Drv) + PL2=list() + for(J in Looprange(1,length(PL1))){ + Tmp=PL1[[J]] + P=Tmp[1:3]+Drv + Np=Writeobjpoint(P) + PL2=c(PL2,list(c(P[1:3],Np))) + if(J<length(PL1)){ + Vec=PL1[[J+1]]-PL1[[J]] + if(Norm(Vec)>Eps){ + Tmp1=Crossprod(Drv,Vec) + Tmp2=Crossprod(Tmp1,Vec) + Tmp3=Dotprod(Tmp2,Drv) + if(Tmp3<-Eps){ + Tmp2=-Tmp2 + } + Drv=Len/Norm(Tmp2)*Tmp2 + } + } + } + }else{ + PtL=Flattenlist(Tmp) + for(J in Looprange(1,length(PtL))){ #17.12.23from + Tmp=PtL[[J]] + if(!is.matrix(Tmp)){ + PtL[[J]]=matrix(Tmp,nrow=1) + } + } #17.12.23until + PL2=list() + for(J in Looprange(1,length(PtL))){ + Tmp=PtL[[J]] + for(K in Looprange(1,nrow(Tmp))){ + PL2=c(PL2,list(Tmp[K,])) + } + } + for(J in Looprange(1,length(PL2))){ + P=PL2[[J]] + if((length(P)<4) || (P[4]==0)){ + Np=Writeobjpoint(P) + PL2[[J]]=c(P[1:3],Np) + } + } + } + Printobjstr("vt 0 0") + Printobjstr("vt 1 0") + Printobjstr("vt 1 1") + Printobjstr("vt 0 1") + for(J in Looprange(2,length(PL1))){ + P1=sprintf("%1d",Op(4,PL1[[J-1]])) + P2=sprintf("%1d",Op(4,PL2[[J-1]])) + P3=sprintf("%1d",Op(4,PL2[[J]])) + P4=sprintf("%1d",Op(4,PL1[[J]])) + N1=""; N2=""; N3=""; N4="" + if(Sel=="+"){ + Str=paste("f ",P1,"/1/",N1," ",P2,"/2/",N2," ",sep="") + Str=paste(Str,P3,"/3/",N3," ",P4,"/4/",N4,sep="") + }else{ + Str=paste("f ",P1,"/1/",N1," ",P4,"/4/",N4," ",sep="") + Str=paste(Str,P3,"/3/",N3," ",P2,"/2/",N2,sep="") + } + Printobjstr(Str) + } + list(PL1,PL2) +} + +Objpolygon<- function(...){ + Eps=10^(-6) + Args=list(...) + Nargs=length(Args) + Tmp=Args[[1]] + PtL=Flattenlist(Tmp) + for(J in Looprange(1,length(PtL))){ #17.12.23from + Tmp=PtL[[J]] + if(!is.matrix(Tmp)){ + PtL[[J]]=matrix(Tmp,nrow=1) + } + } #17.12.23until + PL=list() + for(J in Looprange(1,length(PtL))){ + Tmp=PtL[[J]] + for(K in Looprange(1,nrow(Tmp))){ + PL=c(PL,list(Tmp[K,])) + } + } + Sel=Args[[Nargs]]; Nargs=Nargs-1 + Objname() + for(J in Looprange(1,length(PL))){ + P=PL[[J]] + if((length(P)<4) || (P(4)==0)){ + Np=Writeobjpoint(P) + PL[[J]]=c(P[1:3],Np) + } + } + if(Nargs==1){ + Tmp=PL[[1]] + Cen=Tmp[1:3] + Nc=Tmp[4] + }else{ + Tmp=Args[[2]] + if(length(Tmp)==1){ + Tmp1=PL[[Tmp]] + Cen=Tmp1[1:3] + Nc=Tmp[4] + }else{ + Cen=Tmp + Nc=Writeobjpoint(Cen) + } + } + for(J in Looprange(1,length(PL))){ + if(J<length(PL)){ + Je=J+1 + }else{ + Je=1 + } + Pt1=Cen + PLj=PL[[J]]; PLje=PL[[Je]] + Pt2=PLj[1:3]; Pt3=PLje[1:3] + if(Norm(Crossprod(Pt2-Pt1,Pt3-Pt1))<Eps){ + next + } + P1=sprintf("%1d",Nc) + P2=sprintf("%1d",PLj[4]) + P3=sprintf("%1d",PLje[4]) + if(Sel=="+"){ + Str=paste("f",P1,P2,P3,"",sep=" ") + }else{ + Str=paste("f",P1,P3,P2,"",sep=" ") + } + Printobjstr(Str) + } + PL +} + +Objpolyhedron<- function(Vertex,Face){ + OBJFIGNO<<- OBJFIGNO+1 + Ninit=NPOINT + Objname() + for(N in Looprange(1,length(Vertex))){ + P=Vertex[[N]] + Np=Writeobjpoint(P) + Vertex[[N]]=c(P[1:3],Np) + } + for(N in Looprange(1,length(Face))){ + F=Face[[N]]+Ninit + Face[[N]]=F + Str="f" + for(J in Looprange(1,length(F))){ + P=sprintf("%1d",F[J]) + Str=paste(Str,P,sep=" ") + } + Printobjstr(Str) + } + list(Vertex,Face) +} + +Objcurve<- function(...){ + Eps=10^(-6) + Args=list(...) + Nargs=length(Args) + Tmp=Args[[1]] + PtL=Flattenlist(Tmp) + for(J in Looprange(1,length(PtL))){ #17.12.23from + Tmp=PtL[[J]] + if(!is.matrix(Tmp)){ + PtL[[J]]=matrix(Tmp,nrow=1) + } + } #17.12.23until + PL=list() + for(J in Looprange(1,length(PtL))){ + Tmp=PtL[[J]] + for(K in Looprange(1,nrow(Tmp))){ + PL=c(PL,list(Tmp[K,])) + } + } + Closed=Norm(PL[[length(PL)]]-PL[[1]])<Eps + Pstr="xy" + Tmp=Args[[Nargs]] + if(is.character(Tmp)){ + Pstr=Tmp + Nargs=Nargs-1 + } + Sz=0.1 + Np=4 + if(Nargs>=2){ + Sz=Args[[2]] + } + if(Nargs>=3){ + Np=Args[[3]] + } +# Assignadd("Sz",Sz) #180901 + if(Pstr=="xy"){ + Vz=c(0,0,1) + Fs=Assign("c(Sz*cos(t),Sz*sin(t),0)","Sz",Sz) #180901 + } + if(Pstr=="yz"){ + Vz=c(1,0,0) + Fs=Assign("c(0,Sz*cos(t),Sz*sin(t))","Sz",Sz) #180901 + } + if(Pstr=="zx"){ + Vz=c(0,1,0) + Fs=Assign("c(Sz*sin(t),0,Sz*cos(t))","Sz",Sz) #180901 + } + Gc0=Spacecurve(Fs,"t=c(0,2*pi)",paste("Num=",as.character(Np),sep="")) + P=PL[[1]]; Q=PL[[2]]; R=PL[[length(PL)-1]] + PQ1=Q-P + if(!Closed){ + PQ2=PQ1 + }else{ + PQ2=P-R + } + Vp=PQ1/Norm(PQ1)+PQ2/Norm(PQ2) + Vp1=Vp/Norm(Vp) + Theta=acos(min(Dotprod(Vz,Vp1),1)); + Vj=Crossprod(Vz,Vp1) + if(Norm(Vj)<Eps){ + Vj=Vz + } + Gc1=Rotate3data(Gc0,Vj,Theta) + CL=list(Translate3data(Gc1,P)) + for(J in Looprange(2,length(PL)-1)){ + P=PL[[J]]; Q=PL[[J+1]] + PQ2=Q-P + if(Norm(PQ2)<Eps){ + next + } + Vp=PQ1/Norm(PQ1)+PQ2/Norm(PQ2) + Vp2=Vp/Norm(Vp) + Theta=acos(min(Dotprod(Vp1,Vp2),1)) + Vj=Crossprod(Vp1,Vp2) + if(Norm(Vj)<Eps){ + Vj=Vp1 + } + Gc2=Rotate3data(Gc1,Vj,Theta) + CL=c(CL,list(Translate3data(Gc2,P))) + PQ1=PQ2 + Vp1=Vp2 + Gc1=Gc2 + } + if(!Closed){ + Vp2=(Q-P)/Norm(Q-P) + Theta=acos(min(Dotprod(Vp1,Vp2),1)) + Vj=Crossprod(Vp1,Vp2) + if(Norm(Vj)<Eps){ + Vj=Vp1 + } + Gc3=Rotate3data(Gc1,Vj,Theta) + CL=c(CL,list(Translate3data(Gc3,Q))) + } + Objname() + Join=Objjoin(); + Objjoin(1) + GL1=CL[[1]] + for(J in Looprange(2,length(CL))){ + GL2=CL[[J]] + Dt=Objrecs(GL1,GL2,"-") + GL1=Dt[[2]] + if(J==2){ + GL0=Dt[[1]] + } + } + if(!Closed){ + Objpolygon(CL[[1]],"-") + N=length(CL) + Objpolygon(CL[[N]],"+") + }else{ + Objrecs(GL1,GL0,"-") + } + Out=CL + OBJJOIN<<- Join +} + +Objsymb<- function(Symb,Thick,Face,Dir){ + for(J in Looprange(1,Length(Symb))){ + Objcurve(Op(J,Symb),Thick,Face,Dir) + } +} + +Symb3data<- function(Moji,Size,Kaiten,NV,Pos){ + if(is.character(Moji)){ + #Tmp=Symbdata(Moji) + # GY1=Tmp(2) + }else{ + GY1=Moji + } + GY1=Scaledata(GY1,Size,Size) + GY1=Rotatedata(GY1,Kaiten*pi/180) + A=NV[1]; B=NV[2]; C=NV[3] + if(A^2+B^2==0){ + E1=c(1,0,0) + E2=c(0,1,0) + }else{ + E1=c(B,-A,0) + E2=c(-A*C,-B*C,A^2+B^2) + Tmp=matrix(c(E1,E2,NV),3,3) + D=det(Tmp) + if(D<0){ + E1=-E1 + } + E1=E1/Norm(E1) + E2=E2/Norm(E2) + } + Em<- function(X,Y){ + c(E1[1]*X+E2[1]*Y,E1[2]*X+E2[2]*Y,E1[3]*X+E2[3]*Y) + } + GY1=Embed(GY1,Em) + GY1=Translate3data(GY1,Pos) + Flattenlist(GY1) +} + +############## New Intersect 18.02.01 ############# + +Intersectline<- function(p1,v1,p2,v2){ + Eps0=10^(-5) + tmp=Dotprod(v1,v2) + tmp1=c(tmp,Norm(v1)^2) + tmp2=c(-Norm(v2)^2,-tmp) + tmp3=c(Dotprod(p2-p1,v2),Dotprod(p2-p1,v1)) + d=Crossprod(tmp1,tmp2) + tmp=abs(Crossprod(v1,v2)) + if(tmp>Eps0){ + dt=Crossprod(tmp3,tmp2) + ds=Crossprod(tmp1,tmp3) + t=dt/d + s=ds/d + pt=p1+v1*t + out=list(pt,t,s) + }else{ + tmp1=Crossprod(p2-p1,v1)/Norm(v1) + out=list(abs(tmp1)) + } + return(out) +} + +Intersectseg<- function(...){ + varargin=list(...) + Nargs=length(varargin) + Eps0=10^(-4) + Eps1=0.01 + seg1=varargin[[1]] + seg2=varargin[[2]] + if(Nargs>2){Eps1=varargin[[3]]} + p1=Op(1,seg1); q1=Op(2,seg1) + p2=Op(1,seg2); q2=Op(2,seg2) + if((Norm(q1-p1)<Eps0)||(Norm(q2-p2)<Eps0)){ + out=list(-1) + }else{ + tmp=Intersectline(p1,q1-p1,p2,q2-p2) + if(length(Op(1,tmp))>1){ + pt=Op(1,tmp); t=Op(2,tmp); s=Op(3,tmp) + if((t*(t-1)<Eps0)&&(s*(s-1)<Eps0)){ + out=list(0,pt,t,s) + }else{ + t=min(max(t,0),1) + s=min(max(s,0),1) + tmp3=c(Norm(p1-p2),Norm(p1-q2),Norm(q1-p2),Norm(q1-q2)) #180317 + tmp1=c(Op(2,q2-p2),-Op(1,q2-p2)) + tmp=Intersectline(p1,tmp1,p2,q2-p2) + if(length(Op(1,tmp))>1){ + if(Op(3,tmp)*(Op(3,tmp)-1)<Eps0){ + tmp3=c(tmp3,Norm(Op(1,tmp)-p1)) + } + } + tmp=Intersectline(q1,tmp1,p2,q2-p2) + if(length(Op(1,tmp))>1){ + if(Op(3,tmp)*(Op(3,tmp)-1)<Eps0){ + tmp3=c(tmp3,Norm(Op(1,tmp)-q1)) + } + } + tmp1=c(Op(2,q1-p1),-Op(1,q1-p1)) + tmp=Intersectline(p2,tmp1,p1,q1-p1); + if(length(Op(1,tmp))>1){ + if(Op(3,tmp)*(Op(3,tmp)-1)<Eps0){ + tmp3=c(tmp3,Norm(Op(1,tmp)-p2)) + } + } + tmp=Intersectline(q2,tmp1,p1,q1-p1); #180322 + if(length(Op(1,tmp))>1){ + if(Op(3,tmp)*(Op(3,tmp)-1)<Eps0){ + tmp3=c(tmp3,Norm(Op(1,tmp)-q2)) + } + } + out=list(min(tmp3),pt,t,s) + } + }else{ + dist=tmp[[1]] + tmp1=q1-p1 + n=c(tmp1[2],-tmp1[1])/Norm(tmp1) + pts=list() + tmp=Intersectline(p1,n,p2,q2-p2) + if((length(tmp)>1)&&(tmp[[3]]*(tmp[[3]]-1)<Eps0)){ + tmp1=(1-tmp[[3]])*p2+tmp[[3]]*q2 + pts=c(pts,list(list(tmp1,0,tmp[[3]]))) + } + tmp=Intersectline(q1,n,p2,q2-p2) + if((length(tmp)>1)&&(tmp[[3]]*(tmp[[3]]-1)<Eps0)){ + tmp1=(1-tmp[[3]])*p2+tmp[[3]]*q2 + pts=c(pts,list(list(tmp1,1,tmp[[3]]))) + } + tmp=Intersectline(p2,n,p1,q1-p1) + if((length(tmp)>1)&&(tmp[[3]]*(tmp[[3]]-1)<Eps0)){ + tmp1=(1-tmp[[3]])*p1+tmp[[3]]*q1 + pts=c(pts,list(list(tmp1,tmp[[3]],0))) + } + if((length(tmp)>1)&&(tmp[[3]]*(tmp[[3]]-1)<Eps0)){ + tmp1=(1-tmp[[3]])*p1+tmp[[3]]*q1 + pts=c(pts,list(list(tmp1,tmp[[3]],2))) + } + if(length(pts)==0){ + tmp1=min(Norm(p2-p1),Norm(q2-p1),Norm(p2-q1),Norm(q2-q1)) + out=list(tmp1) + }else{ + if(dist>Eps1){ + out=list(dist) + }else{ + tmp=c(); + for(j in 1:length(pts)){ + tmp=Appendrow(tmp,Op(1,pts[[j]])) + } + tmp1=sum(tmp[,1])/(length(pts)) + tmp2=sum(tmp[,2])/(length(pts)) + tmp3=c(tmp1,tmp2) + tmp=Nearestpt(tmp3,seg1) + tmp1=tmp[[2]] + tmp=Nearestpt(tmp3,seg2) + tmp2=tmp[[2]] + out=list(dist,tmp3,tmp1,tmp2) + } + } + } + } + return(out) +} + +Osplineseg<- function(...){ + varargin=list(...) + Nargs=length(varargin) + Eps=10^(-2) + Eps0=10^(-6) + Ptlist=varargin[[1]] + Numstr="Num=20" + if(Nargs>1){ + Numstr=varargin[[2]] + } + p0=Op(1,Ptlist); p1=Op(2,Ptlist); p2=Op(3,Ptlist); p3=Op(4,Ptlist) + tmp=Norm(p2-p0)*Norm(p3-p1) + tmp=1+sqrt((1+Dotprod(p2-p0,p3-p1)/tmp)/2) + cc=4*Norm(p2-p1)/3/(Norm(p2-p0)+Norm(p3-p1))/tmp + pQ=p1+cc*(p2-p0) + pR=p2+cc*(p1-p3) + ctrL=list(c(pQ,pR)) + out=Bezier(list(p1,p2),ctrL,Numstr) + return(out) +} + +Intersectpartseg<- function(...){ + varargin=list(...) + Nargs=length(varargin) + crv1=varargin[[1]] + crv2=varargin[[2]] + ii=varargin[[3]] + jj=varargin[[4]] + Eps1=varargin[[5]] + Eps2=varargin[[6]] + Dist=10*Eps2 + if(Nargs>6){Dist=varargin[[7]]} + Eps00=10^(-8) + Eps0=10^(-4) + out=list() + seg1=Listplot(Op(ii,crv1),Op(ii+1,crv1)) + seg2=Listplot(Op(jj,crv2),Op(jj+1,crv2)) + tmp1=Op(2,seg1)-Op(1,seg1) + tmp2=Op(2,seg2)-Op(1,seg2) + snang=abs(Crossprod(tmp1,tmp2))/(Norm(tmp1)*Norm(tmp2)) + tmp=Intersectseg(seg1,seg2,Eps1) + dst=Op(1,tmp) + if(dst<Eps0){ + out=list(Op(2,tmp),ii+Op(3,tmp),jj+Op(4,tmp),dst,snang) + }else{ + if(dst<Eps2){ + if((Length(crv1)==2)||(Norm(Op(2,seg1)-Op(1,seg1))>Dist-Eps0)){ + os1=seg1 + }else{ + p1=Op(1,seg1); p2=Op(2,seg1) + if(ii==1){ + p3=Op(3,crv1) + tmp=p2-p1 + tmp=(p1+p2)/2+c(Op(2,tmp),-Op(1,tmp)) + p0=Reflectdata(p3,c((p1+p2)/2,tmp)) + }else{ + if(ii==Length(crv1)-1){ + p0=Op(ii-1,crv1) + tmp=p2-p1 + tmp=(p1+p2)/2+c(Op(2,tmp),-Op(1,tmp)) + p3=Reflectdata(p0,c((p1+p2)/2,tmp)) + }else{ + p0=Op(ii-1,crv1); p3=Op(ii+2,crv1) + } + } + os1=Osplineseg(list(p0,p1,p2,p3)) + } + if((Length(crv2)==2)||(Norm(Op(2,seg2)-Op(1,seg2))>Dist-Eps0)){ + os2=seg2 + }else{ + p1=Op(1,seg2); p2=Op(2,seg2) + if(jj==1){ + p3=Op(3,crv2) + tmp=p2-p1 + tmp=(p1+p2)/2+c(Op(2,tmp),-Op(1,tmp)) + p0=Reflectdata(p3,c((p1+p2)/2,tmp)) + }else{ + if(jj==Length(crv2)-1){ + p0=Op(jj-1,crv2) + tmp=p2-p1 + tmp=(p1+p2)/2+c(Op(2,tmp),-Op(1,tmp)) + p3=Reflectdata(p0,c((p1+p2)/2,tmp)) + }else{ + p0=Op(jj-1,crv2); p3=Op(jj+2,crv2) + } + } + os2=Osplineseg(list(p0,p1,p2,p3)) + } + tmp2=list() + for(kk in Looprange(1,Length(os1)-1)){ + for(ll in Looprange(1,Length(os2)-1)){ + seg1=Listplot(Op(kk,os1),Op(kk+1,os1)) + seg2=Listplot(Op(ll,os2),Op(ll+1,os2)) + tmp=Intersectseg(seg1,seg2,Eps1) + if((Op(1,tmp)<Eps1)&&(length(tmp)>1)){ #18.02.05 + if(Op(1,tmp)<dst+Eps00){ + dst=Op(1,tmp) + tmp3=list() + for( nn in Looprange(1,length(tmp2))){ + if(Op(1,tmp2[[nn]])<dst){ + tmp3=c(tmp3,list(tmp2[[nn]])) + } + } + tmp2=c(tmp3,list(list(dst,Op(2,tmp)))) + } + } + } + } + if(length(tmp2)>0){ + tmp1=c() + for(nn in Looprange(1,length(tmp2))){ + tmp1=Appendrow(tmp1,Op(2,tmp2[[nn]])) + } + tmp=sum(tmp1[,1])/length(tmp2) + tmp=c(tmp,sum(tmp1[,2])/length(tmp2)) + out=list(tmp) + p1=Op(ii,crv1); p2=Op(ii+1,crv1) + tmp=c(Op(2,p2-p1),-Op(1,p2-p1)) + tmp=Intersectline(Op(1,out),tmp,p1,p2-p1) + tmp=min(max(Op(3,tmp),0),1) + out=c(out,list(ii+tmp)) + p1=Op(jj,crv2); p2=Op(jj+1,crv2) + tmp=c(Op(2,p2-p1),-Op(1,p2-p1)) + tmp=Intersectline(Op(1,out),tmp,p1,p2-p1) + tmp=min(max(Op(3,tmp),0),1) + out=c(out,list(jj+tmp,dst,snang)) + } + } + } + return(out) +} + +if(1==0){ #start of skip + +Collectnear<- function(ptdL,Eps2){ + gL=list(Op(1,ptdL)) + rL=ptdL[Looprange(2,length(ptdL))] #18.02.07 + for( ii in Looprange(1,length(ptdL)-1)){ + numL=c() + for(jj in Looprange(1,length(rL))){ + tmp1=100 + for(kk in Looprange(1,length(gL))){ + tmp=Norm(Op(1,gL[[kk]])-Op(1,rL[[jj]])) + if(tmp<tmp1){tmp1=tmp} + } + if(tmp1<Eps2){numL=c(numL,jj)} + } + if(length(numL)==0){ + break + }else{ + gL=c(gL,rL[numL]) #18.02.05 + tmp=setdiff(1:(length(rL)),numL) + rL=rL[tmp] + } + } + return(list(gL,rL)) +} + +}# end of skip + +Collectsameseg<- function(ptdL){ + Eps00=10^(-8) + if(length(ptdL)==0){ + gL=list();rL=list() + }else{ + tmp1md=ptdL[1] + rL=ptdL[Looprange(2,length(ptdL))] + tmp1=tmp1md[[1]] + kk=floor(Op(2,tmp1)) + if(Op(2,tmp1)<kk+Eps00){ + s1=kk-1-Eps00; e1=s1+2+2*Eps00 + }else{ + s1=kk-Eps00; e1=s1+1+2*Eps00 + } + kk=floor(Op(3,tmp1)) + if(Op(3,tmp1)<kk+Eps00){ + s2=kk-1-Eps00; e2=s2+2+2*Eps00 + }else{ + s2=kk-Eps00; e2=s2+1+2*Eps00 + } + diffL=c() + for(ii in Looprange(1,length(rL))){ + tmp=rL[[ii]] + tmp1=Op(2,tmp);tmp2=Op(3,tmp) + if((tmp1>s1)&&(tmp1<e1)&&(tmp2>s2)&&(tmp2<e2)){ + tmp1md=c(tmp1md,list(tmp)) + }else{ + diffL=c(diffL,ii) + } + } + tmp=c() + for(ii in Looprange(1,length(tmp1md))){ + tmp=c(tmp,Op(4,tmp1md[[ii]])) + } + dst=min(tmp) + gL=list() + for(ii in Looprange(1,length(tmp1md))){ + tmp=tmp1md[[ii]] + if(Op(4,tmp)<dst+Eps00){ + gL=c(gL,list(tmp)) + } + } + tmp1=rL + rL=rL[diffL] + } + return(list(gL,rL)) +} + +Groupnearpt<- function(...){ + varargin=list(...) + Nargs=length(varargin) + Eps1=varargin[[Nargs]] + plist=varargin[[1]] + qlist=varargin[[2]] + if(!is.list(qlist)){ + qlist=plist + plist=list() + } + if(length(qlist)==0){ + return(plist) + } + pt=qlist[[1]] + qlist=qlist[Looprange(2,length(qlist))] + if(length(plist)==0){ + plist=list(matrix(pt,nrow=1)) + }else{ + flg=0 + for(ii in Looprange(1,length(plist))){ + gL=plist[[ii]] + for(jj in Looprange(1,Length(gL))){ + if(Norm(Op(jj,gL)-pt)<Eps1){ + flg=1 + break + } + } + if(flg==1){ + plist[[ii]]=Appendrow(gL,pt) + break + } + } + if(flg==0){ + plist=c(plist,list(matrix(pt,nrow=1))) + } + } + out=Groupnearpt(plist,qlist,Eps1) + return(out) +} + +IntersectcurvesPp<- function(...){ + varargin=list(...) + Nargs=length(varargin) + Eps0=10^(-4) + Eps1=0.01 +# Eps2=0.05 + Eps2=0.1 + Dist=10*Eps2 + if(Nargs>2){Eps1=varargin[[3]]} + if(Nargs>3){Eps2=varargin[[4]]} + if(Nargs>4){Dist=varargin[[5]]} + tmp1=varargin[[1]] + crv1=matrix(Op(1,tmp1),nrow=1) + for(ii in Looprange(2,Length(tmp1))){ + tmp=Op(Length(crv1),crv1) + if(Norm(tmp-Op(ii,tmp1))>Eps0){ + crv1=Appendrow(crv1,Op(ii,tmp1)) + } + } + tmp2=varargin[[2]] + crv2=matrix(Op(1,tmp2),nrow=1) + for(ii in Looprange(2,Length(tmp2))){ + tmp=Op(Length(crv2),crv2) + if(Norm(tmp-Op(ii,tmp2))>Eps0){ + crv2=Appendrow(crv2,Op(ii,tmp2)) + } + } + if(Length(crv1)!=Length(crv2)){ + self=0 + }else{ + self=1 + for(ii in Looprange(1,Length(crv1))){ + if(Norm(Op(ii,crv1)-Op(ii,crv2))>0){ + self=0 + break + } + } + } + out=list() + for(ii in Looprange(1,Length(crv1)-1)){ + if(self==0){ + loopL=Looprange(1,Length(crv2)-1) + }else{ + loopL=Looprange(ii+2,Length(crv2)-1) + } + for(jj in loopL){ + tmp=Intersectpartseg(crv1,crv2,ii,jj,Eps1,Eps2,Dist) + if(length(tmp)>1){ #18.02.05 + if(length(out)==0){ + out=list(tmp) + }else{ + tmp1=Op(length(out),out) + if(Norm(Op(1,tmp1)-Op(1,tmp))>Eps1){ + out=c(out,list(tmp)) + } + } + if(self==1){ + tmp=list(Op(1,tmp),Op(3,tmp),Op(2,tmp),Op(4,tmp),Op(5,tmp)) + out=c(out,list(tmp)) + } + } + } + } + tmp2=out + out=list() + tmp1=tmp2 + for(ii in Looprange(1,length(tmp2))){ + tmp=Collectsameseg(tmp1) + out=c(out,list(Op(1,tmp))) + if(length(Op(2,tmp))==0){ + break + }else{ + tmp1=Op(2,tmp) + } + } + for(ii in Looprange(1,length(out))){ + tmp1=Op(ii,out) + if(length(tmp1)==1){ + out[[ii]]=Op(1,tmp1) + }else{ + tmp=c() + for(jj in Looprange(1,length(tmp1))){ + tmp=c(tmp,Op(4,tmp1[[jj]])) + } + dst=min(tmp) + tmp=c() + for(jj in Looprange(1,length(tmp1))){ + if(Op(4,tmp1[[jj]])<dst+Eps0){ + tmp=c(tmp,Op(1,tmp1[[jj]])) + } + } + tmp=matrix(tmp,ncol=2,byrow=TRUE) + tmp=c(sum(tmp[,1]),sum(tmp[,2]))/Length(tmp) + tmp2=list(tmp) + tmp=Nearestpt(Op(1,tmp2),crv1) + tmp2=c(tmp2,list(Op(2,tmp))) + tmp=Nearestpt(Op(1,tmp2),crv2) + tmp2=c(tmp2,list(Op(2,tmp))) + tmp2=c(tmp2,list(list(dst,Op(5,tmp1[[1]])))) + out[[ii]]=tmp2 + } + } + return(out) +} + +Intersectcurves<- function(...){ + dtL=IntersectcurvesPp(...) + out=list() + for(jj in Looprange(1,length(dtL))){ + out=c(out,list(Op(1,dtL[[jj]]))) + } + return(out) +} + +############## end of New Intersect ############# + +############## New Enclosing2 ############# + +Enclosing2<- function(...){ + varargin=list(...) + Nargs=length(varargin) + plist=varargin[[1]] + Eps0=10^(-5) + epspara=1; #180707 + Eps1=0.01 + Eps2=0.1 + Start=c() + flg=0 + for(ii in Looprange(2,Nargs)){ + tmp=varargin[[ii]] + if(length(tmp)>1){ + Start=tmp + }else{ + if(flg==0){epspara=tmp} + if(flg==1){Eps1=tmp} + if(flg==2){Eps2=tmp} + flg=flg+1 + } + } + flg=0 + AnsL=c() + if(length(plist)==1){ + Fdata=plist[[1]] + tmp1=Op(1,Fdata) + tmp2=Op(Length(Fdata),Fdata) + if(Norm(tmp1-tmp2)<Eps0){ + AnsL=Fdata + }else{ + AnsL=Appendrow(Fdata,tmp1) + } + flg=1 + } + if(flg==0){ + Fdata=Op(1,plist) + Gdata=Op(length(plist),plist) + KL=IntersectcurvesPp(Fdata,Gdata) + if(length(KL)==0){ + tmp1=Op(Length(Gdata),Gdata) + tmp2=Op(1,Fdata) + tmp=Listplot(tmp1,tmp2) + plist=c(plist,list(tmp)) + Start=tmp2 + tst=1 + }else{ + if(length(KL)==1){ + tmp=Op(1,KL) + tst=Op(2,tmp) + Start=Op(1,tmp) #180706 + } + if(length(KL)>1){ + KL=Quicksort(KL,2) #180706from + if(length(Start)==0){ + tmp=Op(1,KL) + tst=Op(2,tmp) + Start=Op(1,tmp) + }else{ + tmp=c() + tmp1=list() + for(ii in Looprange(1,length(KL))){ + tmp2=Op(1,KL[[ii]]) + flgsame=0 #180717from + for(jj in Looprange(1,length(tmp1))){ + if(Norm(tmp2-Op(jj,tmp1))<Eps1){ + flgsame=1 + break + } + } + if(flgsame==0){ + tmp=c(tmp,Norm(Op(1,KL[[ii]])-Start)) + tmp1=c(tmp1,list(tmp2)) + } #180717to + } + tmp=order(tmp) + tmp=Op(tmp[1],KL) + tst=Op(2,tmp) + Start=Op(1,tmp)#180706to + } + } + } + } + if(flg==0){ + t1=tst + p1=Pointoncurve(t1,Fdata)#180713 + for(nn in Looprange(1,length(plist))){ + Fdata=Op(nn,plist) + if(nn==length(plist)){ + nxtno=1 + }else{ + nxtno=nn+1 + } + Gdata=Op(nxtno,plist) + KL=IntersectcurvesPp(Fdata,Gdata) + if(length(KL)==0){ + tmp=matrix(Op(Length(Fdata),Fdata),nrow=1) #18.02.02from + Gdata=Appendrow(tmp,Gdata) + plist[[nxtno]]=Gdata + t2=Length(Fdata) + ss=1 #18.02.02to + }else{ +# KL=Quicksort(KL,2); #180706from +# for(j in Looprange(1,length(KL))){ +# tmp1=t1+epspara/50*Length(Fdata)#180713(2lines) +# tmp2=Op(2,KL[[j]]) +# if((tmp2>tmp1)||((tmp2>t1)&&(Norm(Op(3,KL[[j]])-p1)>Eps1))){ +# break +# } #180711,16 +# } +# t2=Op(2,KL[[j]]) +# p2=Pointoncurve(t2,Fdata)#180713 +# ss=Op(3,KL[[j]])# 180706to + tmp=c() #180711from + for(j in Looprange(1,length(KL))){ + tmp=c(tmp,Op(2,KL[[j]])) + } + tmp1=order(tmp) + tmp2=KL + KL=list() + for(j in tmp1){ + tmp=tmp2[[j]] + tmp3=t1+epspara/50*Length(Fdata) + tmp4=Op(2,tmp) + if((tmp4>tmp3)||((tmp4>t1)&&(Norm(Op(1,tmp)-p1)>Eps1))){ + KL=c(KL,list(tmp)) + } + } + t2=Op(2,KL[[1]]) + ss=Op(3,KL[[1]]) #180711from + if(abs(t2-t1)<Eps0){ + if(length(KL)>1){ + tmp=Op(2,KL) + t2=Op(2,tmp) + ss=Op(3,tmp) + }else{ + } + } + } + if(flg==0){ + tmp=Partcrv(t1,t2,Fdata) + if(nn==1){ + AnsL=tmp + }else{ + tmp=tmp[2:Length(tmp),] + AnsL=Appendrow(AnsL,tmp) + } + } + t1=ss + p1=Pointoncurve(t1,Gdata)#180713 + } + } + return(AnsL) +} + +############## end of Enclosing2 ############# + +############## start of surface drawing ############# + +Fullformfunc<- function(FdL){ + ADDPOINT<<- list() #18.02.19 + Out=list(Op(1,FdL)) + N=length(FdL) + for(Jrg in Looprange(1,N)){ + Tmp=grep("c(",Op(Jrg,FdL),fixed=TRUE) + if(length(Tmp)>0){ + break + } + } + Urg=Stripblanks(Op(Jrg,FdL)) + Tmp=strsplit(Urg,"=",fixed=TRUE) + UNAME<<- Tmp[[1]][1] + URNG<<- eval(parse(text=Tmp[[1]][2])) + Urg=paste(UNAME,"=c(",sprintf("%6.7f",URNG[1]),",", + sprintf("%6.7f",URNG[2]),")",sep="") + Vrg=Stripblanks(Op(Jrg+1,FdL)) + Tmp=strsplit(Vrg,"=",fixed=TRUE) + VNAME<<- Tmp[[1]][1] + VRNG<<- eval(parse(text=Tmp[[1]][2])) + Vrg=paste(VNAME,"=c(",sprintf("%6.7f",VRNG[1]),",", + sprintf("%6.7f",VRNG[2]),")",sep="") + if(Jrg==2){ + Xf=UNAME + Yf=VNAME + Tmp=Stripblanks(Op(1,FdL)) + Tmp=strsplit(Tmp,"=",fixed=TRUE) + Zf=Tmp[[1]][2] + Tmp=list(UNAME,VNAME,Zf,Urg,Vrg) + Out=c(Out,Tmp) + }else if(Jrg==4){ + Tmp=Stripblanks(Op(1,FdL)) + Tmp=strsplit(Tmp,"=",fixed=TRUE) + Zf=Tmp[[1]][2] + Tmp=Stripblanks(Op(2,FdL)) + Tmp=strsplit(Tmp,"=",fixed=TRUE) + Xname=Tmp[[1]][1] + Xf=Tmp[[1]][2] + Tmp=Stripblanks(Op(3,FdL)) + Tmp=strsplit(Tmp,"=",fixed=TRUE) + Yname=Tmp[[1]][1] + Yf=Tmp[[1]][2] + Tmp=gsub(Xname,paste("(",Xf,")",sep=""),Zf,fixed=TRUE) + Zf=gsub(Yname,paste("(",Yf,")",sep=""),Tmp,fixed=TRUE) + Tmp=list(Xf,Yf,Zf,Urg,Vrg) + Out=c(Out,Tmp) + }else{ + Tmp=Stripblanks(Op(2,FdL)) + Tmp=strsplit(Tmp,"=",fixed=TRUE) + Xf=Tmp[[1]][2] + Tmp=Stripblanks(Op(3,FdL)) + Tmp=strsplit(Tmp,"=",fixed=TRUE) + Yf=Tmp[[1]][2] + Tmp=Stripblanks(Op(4,FdL)) + Tmp=strsplit(Tmp,"=",fixed=TRUE) + Zf=Tmp[[1]][2] + Tmp=list(Xf,Yf,Zf,Urg,Vrg) + Out=c(Out,Tmp) + } + tmp=paste("Xfunc<<- function(",UNAME,",",VNAME,"){",Xf,"}",sep='') + eval(parse(text=tmp)) + tmp=paste("Yfunc<<- function(",UNAME,",",VNAME,"){",Yf,"}",sep='') + eval(parse(text=tmp)) + tmp=paste("Zfunc<<- function(",UNAME,",",VNAME,"){",Zf,"}",sep='') + eval(parse(text=tmp)) + tmp=paste("XYZfunc<<- function(",UNAME,",",VNAME,"){",sep='') + tmp=paste(tmp,"c(",Xf,",",Yf,",",Zf,")}",sep='') + eval(parse(text=tmp)) + XYZstr<<- c(Xf,Yf,Zf) + DRWS<<- "enws" + BdyL=list() + for(I in Looprange(Jrg+2,length(FdL))){ + Tmp=Op(I,FdL) + if(is.character(Tmp)){ + if(nchar(Tmp)==0){ + Tmp=" " + } + DRWS<<- list(Tmp) + } + if((is.numeric(Tmp))&&(Length(Tmp)>1)){ + BdyL=list(Tmp) + } + } + BDYL<<- BdyL + Tmp=c(DRWS,BDYL) + Out=c(Out,Tmp) + return(Out) +} + +Addpoints<- function(ptlist){ + ADDPOINT<<- ptlist +} + +Makexybdy<- function(Np){ + Eps0=10^(-4) + Xystr=XYZstr[1:2] + Umin=URNG[1]; Umax=URNG[2] + Vmin=VRNG[1]; Vmax=VRNG[2] + Cflg=0 + EhL=list() + Tmp=grep("e",DRWS,fixed=TRUE) + if(length(Tmp)>0){ + Tmp1="c(" + for(jj in 1:2){ + Tmp=gsub(UNAME,paste("(",sprintf("%7.7f",Umax),")",sep=""),Xystr[jj]) + Tmp1=paste(Tmp1,Tmp,",",sep="") + } + Tmp=substring(Tmp1,1,Length(Tmp1)-1) + Tmp1=paste(Tmp,")",sep="") + Tmp=sprintf("%6.6f",VRNG) + Tmp2=paste(VNAME,"=c(",Tmp[1],",",Tmp[2],")",sep='') + Tmp3=paste('N=',as.character(Np[2])) + Tmp=Paramplot(Tmp1,Tmp2,Tmp3) + if(Norm(Op(1,Tmp)-Op(Length(Tmp),Tmp))<Eps0){ + Cflg=1 + Tmp[Length(Tmp),]=Tmp[1,] + } + EhL=c(EhL,list(Tmp)) + } + Tmp=grep("n",DRWS,fixed=TRUE) + if(length(Tmp)>0){ + Tmp1="c(" + for(jj in 1:2){ + Tmp=gsub(VNAME,paste("(",sprintf("%7.7f",Vmax),")",sep=""),Xystr[jj]) + Tmp1=paste(Tmp1,Tmp,",",sep="") + } + Tmp=substring(Tmp1,1,Length(Tmp1)-1) + Tmp1=paste(Tmp,")",sep="") + Tmp=sprintf("%6.6f",URNG) + Tmp2=paste(UNAME,"=c(",Tmp[1],",",Tmp[2],")",sep='') + Tmp3=paste('N=',as.character(Np[1])) + Tmp=Paramplot(Tmp1,Tmp2,Tmp3) + if(Cflg>0){ + Tmp1=Op(length(EhL),EhL) + Tmp=Joincrvs(Tmp1,Tmp) + if(Norm(Op(1,Tmp)-Op(Length(Tmp),Tmp))<Eps0){ + Cflg=1 + Tmp[Length(Tmp),]=Tmp[1,] + } + Tmp1=EhL[Looprange(1,length(EhL)-1)] + EhL=c(Tmp1,Tmp) + }else{ + Cflg=0 + if(Norm(Op(1,Tmp)-Op(Length(Tmp),Tmp))<Eps0){ + Cflg=1 + Tmp[Length(Tmp),]=Tmp[1,] + } + EhL=c(EhL,list(Tmp)) + } + } + Tmp=grep("w",DRWS,fixed=TRUE) + if(length(Tmp)>0){ + Tmp1="c(" + for(jj in 1:2){ + Tmp=gsub(UNAME,paste("(",sprintf("%7.7f",Umin),")",sep=""),Xystr[jj]) + Tmp1=paste(Tmp1,Tmp,",",sep="") + } + Tmp=substring(Tmp1,1,Length(Tmp1)-1) + Tmp1=paste(Tmp,")",sep="") + Tmp=sprintf("%6.6f",VRNG) + Tmp2=paste(VNAME,"=c(",Tmp[1],",",Tmp[2],")",sep='') + Tmp3=paste('N=',as.character(Np[2])) + Tmp=Paramplot(Tmp1,Tmp2,Tmp3) + if(Cflg>0){ + Tmp1=Op(length(EhL),EhL) + Tmp=Joincrvs(Tmp1,Tmp) + if(Norm(Op(1,Tmp)-Op(Length(Tmp),Tmp))<Eps0){ + Cflg=1 + Tmp[Length(Tmp),]=Tmp[1,] + } + Tmp1=EhL[Looprange(1,length(EhL)-1)] + EhL=c(Tmp1,list(Tmp)) + }else{ + Cflg=0 + if(Norm(Op(1,Tmp)-Op(Length(Tmp),Tmp))<Eps0){ + Cflg=1 + Tmp[Length(Tmp),]=Tmp[1,] + } + EhL=c(EhL,list(Tmp)) + } + } + Tmp=grep("s",DRWS,fixed=TRUE) + if(length(Tmp)>0){ + Tmp1="c(" + for(jj in 1:2){ + Tmp=gsub(VNAME,paste("(",sprintf("%7.7f",Vmin),")",sep=""),Xystr[jj]) + Tmp1=paste(Tmp1,Tmp,",",sep="") + } + Tmp=substring(Tmp1,1,Length(Tmp1)-1) + Tmp1=paste(Tmp,")",sep="") + Tmp=sprintf("%6.6f",URNG) + Tmp2=paste(UNAME,"=c(",Tmp[1],",",Tmp[2],")",sep='') + Tmp3=paste('N=',as.character(Np[1])) + Tmp=Paramplot(Tmp1,Tmp2,Tmp3) + if(Cflg>0){ + Tmp1=Op(length(EhL),EhL) + Tmp=Joincrvs(Tmp1,Tmp) + if(Norm(Op(1,Tmp)-Op(Length(Tmp),Tmp))<Eps0){ + Cflg=1 + Tmp1=EhL[Looprange(1,length(EhL)-1)] + } + Tmp1=EhL[Looprange(1,length(EhL)-1)] + EhL=c(Tmp1,list(Tmp)) + }else{ + Cflg=0 + if(Norm(Op(1,Tmp)-Op(Length(Tmp),Tmp))<Eps0){ + Cflg=1 + Tmp[Length(Tmp),]=Tmp[1,] + } + EhL=c(EhL,list(Tmp)) + } + } + return(EhL) +} + +Partitionseg<- function(...){ + varargin=list(...) + Nargs=length(varargin) + Fig=varargin[[1]] + GL=varargin[[2]]; N=3 + if(!is.list(GL)){GL=list(GL)} #18.02.21 + Eps0=10^(-4) + Eps1=0.01 + if(Nargs>2){ + Eps1=varargin[[3]] + } + Eps2=0.1 + if(Nargs>3){ + Eps2=varargin[[4]] + } + if(Nargs>4){ + Ns=varargin[[5]] + if(Ns>0){#18.02.21from + Other=Op(Ns,OTHERPARTITION) + }else{ + Other=c() + }#18.02.21until + }else{ + Ns=1 + Other=c() + } + Npt=Length(Fig) + ParL=c(1,Npt,Other) + for(N in Looprange(max(1,Ns),Length(GL))){ #18.02.21 + G=Op(N,GL) + KouL=IntersectcurvesPp(Fig,G,Eps1,Eps2) + Tmp1=c(); Tmp2=c() + for(jj in Looprange(1,length(KouL))){ + tmp=Op(2,KouL[[jj]]) + if((tmp>1+Eps0)&&(tmp<Npt-Eps0)){ + Tmp1=c(Tmp1,tmp) + } + tmp=Op(3,KouL[[jj]]) + if((tmp>1+Eps0)&&(tmp<Length(G)-Eps0)){ + Tmp2=c(Tmp2,tmp) + } + } + ParL=c(ParL,Tmp1) + if((Ns>0)&&(N>Ns)&&(length(Tmp2)>0)){ #18.02.21 + tmp=OTHERPARTITION[[N]] + OTHERPARTITION[[N]]<<- c(tmp,Tmp2) + } + } + tmp1=sort(ParL) + ParL=c() + tmp2=-1 + for(jj in Looprange(1,length(tmp1))){ + tmp=Op(jj,tmp1) + if(abs(tmp-tmp2)>Eps1){ + ParL=c(ParL,tmp) + tmp2=tmp + } + } + return(ParL) +} + +Evlptablepara<- function(...){ + varargin=list(...) + Nargs=length(varargin) + Tmp=varargin[[1]] + Mdv=50 + Ndv=50 + if(Nargs>=2){ + Tmp=varargin[[2]] + if(is.list(Tmp)){Tmp=Op(1,Tmp)} + if(length(Tmp)>1){ + Mdv=Tmp[1] + Ndv=Tmp[2] + }else{ + Mdv=Tmp + if(Nargs==2){ + Ndv=Mdv + }else{ + Tmp1=varargin[[3]] + if((is.numeric(Tmp1)) && (length(Tmp1)==1)){ + Ndv=Tmp1 + }else{ + Ndv=Mdv + } + } + } + } + U1=URNG[1]; U2=URNG[2] + V1=VRNG[1]; V2=VRNG[2] + Du=(U2-U1)/(Mdv) + Dv=(V2-V1)/(Ndv) + sph=sprintf("%7.7f",sin(PHI)) + cph=sprintf("%7.7f",cos(PHI)) + sth=sprintf("%7.7f",sin(THETA)) + cth=sprintf("%7.7f",cos(THETA)) + xstr=paste("-(",XYZstr[1],")*(",sph,")+(",XYZstr[2],")*(",cph,")",sep="") + tmp=paste("-(",XYZstr[1],")*(",cph,")*(",cth,")-(",XYZstr[2],")*(",sph,")*(",cth,")",sep="") + ystr=paste(tmp,"+(",XYZstr[3],")*(",sth,")",sep="") + dxu=Diff(xstr,UNAME) + dxv=Diff(xstr,VNAME) + dyu=Diff(ystr,UNAME) + dyv=Diff(ystr,VNAME) + I=1 + Zval=c() + for(jj in 1:(Ndv+1)){ + v=V1+(jj-1)*Dv + ZuL=c() + for(ii in 1:(Mdv+1)){ + u=U1+(ii-1)*Du + tmp1=paste(UNAME,"=(",sprintf("%7.7f",u),")",sep="") + tmp2=paste(VNAME,"=(",sprintf("%7.7f",v),")",sep="") + Dxu=Funvalue(dxu,tmp1,tmp2) + Dxv=Funvalue(dxv,tmp1,tmp2) + Dyu=Funvalue(dyu,tmp1,tmp2) + Dyv=Funvalue(dyv,tmp1,tmp2) + Tmp=Dxu*Dyv-Dxv*Dyu + ZuL=c(ZuL,Tmp) + } + Zval=Appendrow(Zval,ZuL) + } + Yval=c() + for(jj in 1:(Ndv+1)){ + v=V1+(jj-1)*Dv + Yval=c(Yval,v) + } + Xval=c() + for(ii in 1:(Mdv+1)){ + u=U1+(ii-1)*Du + Xval=c(Xval,u) + } + return(list(Zval,Xval,Yval)) +} + +Evlpfun<- function(u,v){ + tmp1=paste(UNAME,"=(",sprintf("%7.7f",u),")",sep="") + tmp2=paste(VNAME,"=(",sprintf("%7.7f",v),")",sep="") + Dxu=Funvalue(dxu,tmp1,tmp2) + Dxv=Funvalue(dxv,tmp1,tmp2) + Dyu=Funvalue(dyu,tmp1,tmp2) + Dyv=Funvalue(dyv,tmp1,tmp2) + Tmp=Dxu*Dyv-Dxv*Dyu + return(Tmp) +} + +Envelopedata<- function(...){ + varargin=list(...) + Eps0=10^(-4) + Nargs=length(varargin) + Fd=varargin[[1]] + Fullformfunc(Fd) + Mdv=50 + Ndv=50 + if(Nargs>=2){ + Tmp=varargin[[2]] + if(is.list(Tmp)){Tmp=Op(1,Tmp)} + if(length(Tmp)>1){ + Mdv=Tmp[1] + Ndv=Tmp[2] + }else{ + Mdv=Tmp + if(Nargs==2){ + Ndv=Mdv + }else{ + Tmp1=varargin[[3]] + if((is.numeric(Tmp1)) && (length(Tmp1)==1)){ + Ndv=Tmp1 + }else{ + Ndv=Mdv + } + } + } + } + sph=sprintf("%7.7f",sin(PHI)) + cph=sprintf("%7.7f",cos(PHI)) + sth=sprintf("%7.7f",sin(THETA)) + cth=sprintf("%7.7f",cos(THETA)) + xstr=paste("-(",XYZstr[1],")*(",sph,")+(",XYZstr[2],")*(",cph,")",sep="") + tmp=paste("-(",XYZstr[1],")*(",cph,")*(",cth,")-(",XYZstr[2],")*(",sph,")*(",cth,")",sep="") + ystr=paste(tmp,"+(",XYZstr[3],")*(",sth,")",sep="") + dxu<<- Diff(xstr,UNAME) + dxv<<- Diff(xstr,VNAME) + dyu<<- Diff(ystr,UNAME) + dyv<<- Diff(ystr,VNAME) + U1=URNG[1]; U2=URNG[2] + V1=VRNG[1]; V2=VRNG[2] + Du=(U2-U1)/Mdv + Dv=(V2-V1)/Ndv + Out=c() + for(J in 1:(Ndv)){ + Vval1=VRNG[1]+(J-1)*Dv + Vval2=VRNG[1]+J*Dv + Uval1=URNG[1] + Eval11=Evlpfun(Uval1,Vval1) + Eval12=Evlpfun(Uval1,Vval2) + for(I in 1:(Mdv)){ + Uval2=URNG[1]+I*Du + Eval21=Evlpfun(Uval2,Vval1) + Eval22=Evlpfun(Uval2,Vval2) + a1=Uval1;b1=Vval1;c1=Eval11 + a2=Uval2;b2=Vval1;c2=Eval21 + a3=Uval2;b3=Vval2;c3=Eval22 + a4=Uval1;b4=Vval2;c4=Eval12 + PL=matrix(c(a1,b1,a2,b2,a3,b3,a4,b4,a1,b1),ncol=2,byrow=TRUE) + VL=c(c1,c2,c3,c4,c1) + QL=c() + for(K in 1:4){ + if(abs(VL[K])<=Eps0){ + QL=Appendrow(QL,PL[K,]) + }else if(VL[K]>Eps0){ + if(VL[K+1]< -Eps0){ + Tmp=1/(VL[K]-VL[K+1])*(-VL[K+1]*PL[K,]+VL[K]*PL[K+1,]) + QL=Appendrow(QL,Tmp) + } + }else{ + if(VL[K+1]>Eps0){ + Tmp=1/(-VL[K]+VL[K+1])*(VL[K+1]*PL[K,]-VL[K]*PL[K+1,]) + QL=Appendrow(QL,Tmp) + } + } + } + Uval1=Uval2 + Eval11=Eval21 + Eval12=Eval22 + if(Length(QL)==2){ + Out=Appendrow(Out,c(Inf,Inf)) + Out=Appendrow(Out,QL) + } + } + } + Out=Out[2:nrow(Out),] + if(Length(Out)>0){ + Out=Connectseg(Out) + }else{ + Out=c() + } + return(Out) +} + +Dropnumlistcrv<- function(QdL,Eps1){ + Eps0=10^(-4) + if(!is.list(QdL)){ + PdL=list(QdL) + }else{ + PdL=QdL + } + OutL=list() + for(I in Looprange(1,length(PdL))){ + Pd=Op(I,PdL) + PtL=c(1) + P=Op(1,Pd) + for(K in Looprange(2,Length(Pd)-1)){ + if(Norm(P-Op(K,Pd))>Eps1){ + PtL=c(PtL,K) + P=Op(K,Pd) + } + } + K=Length(Pd) + if(Norm(P-Op(K,Pd))>Eps1){ #18.02.12 eps + PtL=c(PtL,K) + } + OutL=c(OutL,list(PtL)) + } + return(OutL) +} + +Cuspsplitpara<- function(...){ + varargin=list(...) + Nargs=length(varargin); + Gdxy=varargin[[1]] + if(!is.list(Gdxy)){ + Gdxy=list(Gdxy) + } + Eps0=10^(-4) + Eps1=0.01 + if(Nargs>2){Eps1=varargin[[2]]} + N=2 + CUSPSPLITPT<<- list() + OutkL=list() + for(Ng in Looprange(1,length(Gdxy))){ + PtxyL=Op(Ng,Gdxy) + PtkL=c() + PthL=c() + for(I in Looprange(1,Length(PtxyL))){ + Tmp=Op(I,PtxyL) + Tmp1=paste(UNAME,'=',sprintf("%7.7f",Tmp[1]),sep="") + eval(parse(text=Tmp1)) + Tmp1=paste(VNAME,'=',sprintf("%7.7f",Tmp[2]),sep="") + eval(parse(text=Tmp1)) + Tmp2=c(eval(parse(text=XYZstr[1]))) + Tmp2=c(Tmp2,eval(parse(text=XYZstr[2]))) + Tmp2=c(Tmp2,eval(parse(text=XYZstr[3]))) + Tmp3=Parapt(Tmp2) + if(I==1){ + PtkL=matrix(Tmp2,nrow=1) + PthL=matrix(Tmp3,nrow=1) + }else{ + Tmp4=Op(Length(PthL),PthL) + if(Norm(Tmp3-Tmp4)>Eps0){ + PtkL=Appendrow(PtkL,Tmp2) + PthL=Appendrow(PthL,Tmp3) + } + } + } + if(Length(PthL)==0){ + return(list()) + } + Ps=Op(1,PthL); Pe=Op(Length(PthL),PthL) + Cflg=0 + if(Norm(Ps-Pe)<Eps1){Cflg=1} + CuspL=c() + Cva=cos(10*pi/180) + for(I in Looprange(1,Length(PthL)-1)){ + if(Length(PthL)==2){break} + Tmp=Op(I,PthL) + if(I==1){ + if(Cflg==0){next} + Tmp1=Op(Length(PthL)-1,PthL) + }else{ + Tmp1=Op(I-1,PthL) + } + Tmp2=Op(I+1,PthL) + V1=Tmp-Tmp1 + V2=Tmp2-Tmp + Tmp3=Dotprod(V1,V2)/(Norm(V1)*Norm(V2)) + Cuspflg=0 + if(Tmp3<Cva){ + P=Op(I,PthL) + Kaku=acos(Tmp3)*180/pi + if(Crossprod(V1,V2)<0){ + Kaku=-Kaku + } + Cuspflg=0 + for(J in Looprange(I+1,Length(PthL)-1)){ + if(abs(Kaku)>90){ + Cuspflg=1 + break + } + Q=Op(J,PthL) + if(Norm(P-Q)>Eps1){ + break + } + V1=Q-Op(J-1,PthL) + V2=Op(J+1,PthL)-Q + Tmp3=Dotprod(V1,V2)/(norm(V1)*norm(V2)) + Tmp=acos(Tmp3)*180/pi + if(Crossprod(V1,V2)<0){ + Tmp=-Tmp + } + Kaku=Kaku+Tmp + } + if(Cuspflg==1){ + Tmp=trunc((I+J)*0.5) + I=J + if(length(CuspL)==0){ + CuspL=c(Tmp) + }else{ + CuspL=c(CuspL,Tmp) + } + } + } + } + if(Cflg==0){ + CuspL=c(1,CuspL,Length(PthL)) + }else if(length(CuspL)==0){ + CuspL=c(1,Length(PthL)) + }else if(Op(1,CuspL)==1){ + CuspL=c(CuspL,Length(PthL)) + }else{ + Tmp=Op(1,CuspL) + Tmp1=PthL[Tmp:Length(PthL),] + Tmp2=PthL[2:Tmp,] + PthL=Appendrow(Tmp1,Tmp2) + Tmp1=PtkL[Tmp:Length(PthL),] + Tmp2=PtkL[2:Tmp,] + PtkL=Appendrow(Tmp1,Tmp2) + CuspL=CuspL-Tmp+1 + CuspL=c(CuspL,Length(PthL)) + } + if(length(CuspL)==2){ + Tmp4=PthL[Length(PthL),] + if(Length(PtkL)>=2){ + CUSPSPLITPT<<- c(CUSPSPLITPT,list(Tmp4)) + OutkL=c(OutkL,list(PtkL)) + } + next + } + Outk=list() + Is=1 + for(I in Looprange(1,length(CuspL)-1)){ + Tmp1=CuspL[Is]; Tmp2=CuspL[I+1] + Tmp3=Op(Tmp1,PthL); Tmp4=Op(Tmp2,PthL) + if(Norm(Tmp3-Tmp4)>Eps1){ + Tmpk=PtkL[Tmp1:Tmp2,] + Outk=c(Outk,list(Tmpk)) + CUSPSPLITPT<<- c(CUSPSPLITPT,list(Tmp4)) + Is=I+1 + } + } + OutkL=c(OutkL,Outk) + } + Tmp1=Dropnumlistcrv(Projpara(OutkL),Eps1*0.5) + Tmp=list() + for(I in Looprange(1,length(OutkL))){ + Tmp2=Op(I,OutkL) + Tmp3=Op(I,Tmp1) + Tmp4=c() + for(J in Looprange(1,Length(Tmp3))){ + Tmp5=Op(Tmp3[J],Tmp2) + Tmp4=Appendrow(Tmp4,Tmp5) + } + if(Length(Tmp4)>0){ + Tmp=c(Tmp,list(Tmp4)) + } + } + return(Tmp) +} + +PthiddenQ<- function(PtA,Vec,Uveq,Np,Eps1,Eps2){ + Eps0=10^(-4) + Out=c() + Vec=1/Norm(Vec)*Vec + if(length(Np)==1){ + Np=c(Np,Np) + } + Tmp=paste("Eqfun<- function(U,V){",sep='') + if((abs(Vec[2])>Eps0) || (abs(Vec[1])>Eps0)){ + Vstr=sprintf("%6.6f",Vec) + Pstr=sprintf("%6.6f",PtA) + Tmp=paste(Tmp,"(",Vstr[2],")*(Xfunc(U,V)-(",Pstr[1],"))",sep='') + Tmp=paste(Tmp,"-(",Vstr[1],")*(Yfunc(U,V)-(",Pstr[2],"))}",sep='') + }else{ + Tmp=paste(Tmp,"Xfunc(U,V)}",sep='') + } + eval(parse(text=Tmp)) + Dx=(URNG[2]-URNG[1])/Np[1] + Dy=(VRNG[2]-VRNG[1])/Np[2] + for(J in Looprange(1,Np[2])){ #180227 + Vval1=VRNG[1]+(J-1)*Dy + Vval2=VRNG[1]+J*Dy + Uval1=URNG[1] #180306(3lines) + Eval11=Eqfun(Uval1,Vval1) + Eval12=Eqfun(Uval1,Vval2) + for(I in Looprange(1,Np[1])){ #180227 + Uval2=URNG[1]+I*Dx + Eval21=Eqfun(Uval2,Vval1) + Eval22=Eqfun(Uval2,Vval2) + a1=Uval1;b1=Vval1;c1=Eval11 + a2=Uval2;b2=Vval1;c2=Eval21 + a3=Uval2;b3=Vval2;c3=Eval22 + a4=Uval1;b4=Vval2;c4=Eval12 + PL=matrix(c(a1,b1,a2,b2,a3,b3,a4,b4,a1,b1),ncol=2,byrow=TRUE) + VL=c(c1,c2,c3,c4,c1) + QL=c() + for(K in 1:4){ + P1=Op(K,PL); P2=Op(K+1,PL) + M1=Op(K,VL); M2=Op(K+1,VL) + if(abs(M1)<Eps0){ + QL=Appendrow(QL,P1) + next + } + if(abs(M2)<Eps0){ + next + } + if((M1> 0) && (M2> 0)){ + next + } + if((M1< 0) && (M2< 0)){ + next + } + Tmp=1/(M1-M2)*(-M2*P1+M1*P2) + QL=Appendrow(QL,Tmp) + } + Uval1=Uval2 #180306(3lines) + Eval11=Eval21 + Eval12=Eval22 + if(Length(QL)==2){ + Puv1=Op(1,QL); Puv2=Op(2,QL) + Tmp1=Op(1,Puv1) + Tmp2=Op(2,Puv1) + Xv=Xfunc(Tmp1,Tmp2) + Yv=Yfunc(Tmp1,Tmp2) + Zv=Zfunc(Tmp1,Tmp2) + P1=c(Xv,Yv,Zv) + Tmp1=Op(1,Puv2) + Tmp2=Op(2,Puv2) + Xv=Xfunc(Tmp1,Tmp2) + Yv=Yfunc(Tmp1,Tmp2) + Zv=Zfunc(Tmp1,Tmp2) + P2=c(Xv,Yv,Zv) + V1=Vec[1]; V2=Vec[2]; V3=Vec[3] + if(abs(V1)>Eps0){ + M1=PtA[3]+V3/V1*(P1[1]-PtA[1])-P1[3] + M2=PtA[3]+V3/V1*(P2[1]-PtA[1])-P2[3] + }else if(abs(V2)>Eps0){ + M1=PtA[3]+V3/V2*(P1[2]-PtA[2])-P1[3] + M2=PtA[3]+V3/V2*(P2[2]-PtA[2])-P2[3] + }else{ + M1=PtA[2]-P1[2] + M2=PtA[2]-P2[2] + } + if(M1*M2>= 0){ + if(((M1>0) && (M2>0)) || ((M1< 0) && (M2< 0))){ + next + } + if(M1==0){ + Pt=P1; Ptuv=Puv1 + }else{ + Pt=P2; Ptuv=Puv2 + } + }else{ + Pt=1/(M1-M2)*(-M2*P1+M1*P2) + Ptuv=1/(M1-M2)*(-M2*Puv1+M1*Puv2) + } + if(is.character(Uveq)){ + Tmp1=paste('(',sprintf("%6.6f",Ptuv[1]),')',sep='') + Tmp2=paste('('+sprintf("%6.6f",Ptuv[2]),')',sep='') + Tmp=gsub(UNAME,Tmp1,Uveq,fixed=TRUE) + Tmp=gsub(VNAME,Tmp2,Tmp,fixed=TRUE) + Tmp=eval(parse(text=Tmp)) + if(Tmp< -Eps0){ + next + } + } + Tmp1=Crossprod(Pt-PtA,Vec) + if(Norm(Tmp1)<Eps1){ #18.02.19 + if(Zparapt(Pt)>Zparapt(PtA)+Eps2){ + return(list(1,Pt,Zparapt(Pt),Zparapt(PtA))) + }else{ + Out=Appendrow(Out,Pt) + } + } + } + } + } + if(Length(Out)==0){ + return(list(0,c())) + } + return(c(list(0,Out))) +} + +Nohiddenpara2<- function (Par,Fk,Uveq,Np,Eps1,Eps2){ + Eps0=10^(-4) + Fh=Projpara(Fk) + P1=Ptstart(Fh) + P2=Ptend(Fh) + Csp=CUSPPT + if(!is.list(Csp)){Csp=list(Csp)} + Cspflg=1 + for(I in Looprange(1,length(Csp))){ + Tmp=Op(I,Csp) + if(Norm(Tmp-P1)<Eps0){ + if(Cspflg==1){Cspflg=2} + if(Cspflg==3){Cspflg=6} + next + } + if(Norm(Tmp-P2)<Eps0){ + if(Cspflg==1){Cspflg=3} + if(Cspflg==2){Cspflg=6} + next + } + } + PaL=c() + tmp2=-1 + for(jj in Looprange(1,length(Par)-1)){ + tmp1=Op(jj,Par) + if(abs(tmp1-tmp2)>Eps0){ #180227 + PaL=c(PaL,tmp1) + tmp2=tmp1 + } + } + tmp1=PaL[length(PaL)] #18.02.26from + tmp2=Par[length(Par)] + if(abs(tmp1-tmp2)<Eps0){ #180227 + PaL[length(PaL)]=tmp2 + }else{ + PaL=c(PaL,tmp2) + } #18.02.26to + SeL=c() + for(N in Looprange(1,length(PaL)-1)){ + S=(PaL[N]+PaL[N+1])/2 + Tmp=Invparapt(S,Fh,Fk) + PtA=Op(1,Tmp) + PtAp=Parapt(PtA) + Vec=c(sin(THETA)*cos(PHI),sin(THETA)*sin(PHI),cos(THETA)) + Flg=PthiddenQ(PtA,Vec,Uveq,Np,Eps1,Eps2) + if(Flg[[1]]==0){ + SeL=c(SeL,N) + } + } + FigL=list() + FigkL=list() + for(I in Looprange(1,length(SeL))){ + Tmp1=Pointoncurve(PaL[SeL[I]],Fh) + Tmp2=Pointoncurve(PaL[SeL[I]+1],Fh) + if(I==1){ + P=Tmp1; SP=PaL[SeL[I]] + Q=Tmp2; SQ=PaL[SeL[I]+1] + }else{ + if(Member(SeL[I]-1,SeL)){ + Q=Tmp2; SQ=PaL[SeL[I]+1] + }else{ + FigL=c(FigL,list(Partcrv(SP,SQ,Fh))) + Tmp3=Invparapt(SP,Fh,Fk) + TP=Op(2,Tmp3) + Tmp3=Invparapt(SQ,Fh,Fk) + TQ=Op(2,Tmp3) + Tmp4=Partcrv3(TP,TQ,Fk) + FigkL=c(FigkL,list(Tmp4)) + P=Tmp1; SP=PaL[SeL[I]] + Q=Tmp2; SQ=PaL[SeL[I]+1] + } + } + } + if(length(SeL)>0){ + if(Norm(P-Q)>Eps0){ #18.02.14 + FigL=c(FigL,list(Partcrv(P,Q,Fh))) + Tmp3=Invparapt(SP,Fh,Fk) + TP=Op(2,Tmp3) + Tmp3=Invparapt(SQ,Fh,Fk) + TQ=Op(2,Tmp3) + FigkL=c(FigkL,list(Partcrv3(TP,TQ,Fk))) + }else{ + FigL=c(FigL,list(Fh)) + FigkL=c(FigkL,list(Fk)) + } + } + if(length(SeL)==0){#181024from + Tmp=Looprange(1,length(PaL)-1) + }else{ #181024to + Tmp=c() + for(I in Looprange(1,length(PaL)-1)){ + if(!Member(I,SeL)){ + Tmp=c(Tmp,I) + } + } + } + SeL=Tmp + HIDDENDATA<<- list() + for(I in Looprange(1,length(SeL))){ + Tmp=PaL[SeL[I]] + Tmp1=Pointoncurve(Tmp,Fh) + Tmp=PaL[SeL[I]+1] + Tmp2=Pointoncurve(Tmp,Fh) + if(I==1){ + P=Tmp1; SP=PaL[SeL[I]] + Q=Tmp2; SQ=PaL[SeL[I]+1] + }else{ + if(Member(SeL[I]-1,SeL)){ + Q=Tmp2; SQ=PaL[SeL[I]+1] + }else{ + Tmp=Invparapt(SP,Fh,Fk) + TP=Op(2,Tmp) + Tmp=Invparapt(SQ,Fh,Fk) + TQ=Op(2,Tmp) + HIDDENDATA<<- c(HIDDENDATA,list(Partcrv3(TP,TQ,Fk))) + P=Tmp1; SP=PaL[SeL[I]] + Q=Tmp2; SQ=PaL[SeL[I]+1] + } + } + } + if(length(SeL)>0){ + if(Norm(P-Q)>Eps0){ #18.02.14 + Tmp=Invparapt(SP,Fh,Fk) + TP=Op(2,Tmp) + Tmp=Invparapt(SQ,Fh,Fk) + TQ=Op(2,Tmp) + HIDDENDATA<<- c(HIDDENDATA,list(Partcrv3(TP,TQ,Fk))) + }else{ + HIDDENDATA<<- c(HIDDENDATA,list(Fk)) + } + } + return(FigkL) +} + +Borderparadata<- function(...){ + varargin=list(...) + Nargs=length(varargin) + FkL=varargin[[1]] + Np=c(50,50) + Eps1=0.01 + Eps2=0.05 + ctr=0 + for(jj in Looprange(2,Nargs)){ + tmp=varargin[[jj]] + if((length(tmp)>1)||(tmp>1)){ + Np=tmp + if(length(Np)==1){ + Np=c(Np,Np) + } + }else{ + ctr=ctr+1 + if(ctr==1){Eps1=tmp} + if(ctr==2){Eps2=tmp} + } + } + Umin=URNG[1]; Umax=URNG[2] + Vmin=VRNG[1]; Vmax=VRNG[2] + EkL=list() + Tmp=grep("e",DRWS,fixed=TRUE) + if(length(Tmp)>0){ + Tmp1="c(" + for(jj in 1:3){ + Tmp=gsub(UNAME,paste("(",sprintf("%7.7f",Umax),")",sep=""),XYZstr[jj]) + Tmp1=paste(Tmp1,Tmp,",",sep="") + } + Tmp=substring(Tmp1,1,Length(Tmp1)-1) + Tmp1=paste(Tmp,")",sep="") + Tmp=sprintf("%6.6f",VRNG) + Tmp2=paste(VNAME,"=c(",Tmp[1],",",Tmp[2],")",sep='') + Tmp3=paste('N=',as.character(Np[2]),sep="") + Tmp=Spacecurve(Tmp1,Tmp2,Tmp3) + EkL=c(EkL,list(Tmp)) + } + Tmp=grep("n",DRWS,fixed=TRUE) + if(length(Tmp)>0){ + Tmp1="c(" + for(jj in 1:3){ + Tmp=gsub(VNAME,paste("(",sprintf("%7.7f",Vmax),")",sep=""),XYZstr[jj]) + Tmp1=paste(Tmp1,Tmp,",",sep="") + } + Tmp=substring(Tmp1,1,Length(Tmp1)-1) + Tmp1=paste(Tmp,")",sep="") + Tmp=sprintf("%6.6f",URNG) + Tmp2=paste(UNAME,"=c(",Tmp[1],",",Tmp[2],")",sep='') + Tmp3=paste('N=',as.character(Np[1]),sep="") + Tmp=Spacecurve(Tmp1,Tmp2,Tmp3) + EkL=c(EkL,list(Tmp)) + } + Tmp=grep("w",DRWS,fixed=TRUE) + if(length(Tmp)>0){ + Tmp1="c(" + for(jj in 1:3){ + Tmp=gsub(UNAME,paste("(",sprintf("%7.7f",Umin),")",sep=""),XYZstr[jj]) + Tmp1=paste(Tmp1,Tmp,",",sep="") + } + Tmp=substring(Tmp1,1,Length(Tmp1)-1) + Tmp1=paste(Tmp,")",sep="") + Tmp=sprintf("%6.6f",VRNG) + Tmp2=paste(VNAME,"=c(",Tmp[1],",",Tmp[2],")",sep='') + Tmp3=paste('N=',as.character(Np[2])) + Tmp=Spacecurve(Tmp1,Tmp2,Tmp3) + EkL=c(EkL,list(Tmp)) + } + Tmp=grep("s",DRWS,fixed=TRUE) + if(length(Tmp)>0){ + Tmp1="c(" + for(jj in 1:3){ + Tmp=gsub(VNAME,paste("(",sprintf("%7.7f",Vmin),")",sep=""),XYZstr[jj]) + Tmp1=paste(Tmp1,Tmp,",",sep="") + } + Tmp=substring(Tmp1,1,Length(Tmp1)-1) + Tmp1=paste(Tmp,")",sep="") + Tmp=sprintf("%6.6f",URNG) + Tmp2=paste(UNAME,"=c(",Tmp[1],",",Tmp[2],")",sep='') + Tmp3=paste('N=',as.character(Np[1])) + Tmp=Spacecurve(Tmp1,Tmp2,Tmp3) + EkL=c(EkL,list(Tmp)) + } + if(length(EkL)>0){ + FkL=c(FkL,EkL) + } + Fall=Projpara(FkL) + if(is.numeric(Fall)){ + Fall=list(Fall) + } + Fbdxy=Makexybdy(Np) + BORDERPT<<- list() + Tmp1=list() + for(I in Looprange(1,length(Fall))){ + Tmp1=c(Tmp1,list(c())) + } + OTHERPARTITION<<- Tmp1 + FsL=list() + BORDERHIDDENDATA<<- list() + starttime=proc.time() + for(I in Looprange(1,length(FkL))){ + Tmp=Op(I,FkL) + Tmp=Projpara(Tmp) + Par=Partitionseg(Tmp,Fall,Eps1,Eps2,I) + Tmp1=Op(I,FkL) + Tmp=Nohiddenpara2(Par,Tmp1,1,Np,Eps1,Eps2) + if(length(HIDDENDATA)>0){ + BORDERHIDDENDATA<<- c(BORDERHIDDENDATA,HIDDENDATA) + } + if(length(Tmp)>0){ + FsL=c(FsL,Tmp) + } + Tmp=paste('Border',formatC(I,width=2,flag="0"),'/',sep='') + Tmp=paste(Tmp,as.character(length(FkL)),' obtained : Time =',sep='') + Tmp1=proc.time()-starttime + print(paste(Tmp,sprintf("%6.3f",Tmp1[1]),sep='')) + } + return(FsL) +} + +Sfbdparadata<- function(...){ + varargin=list(...) + Nargs=length(varargin) + Fd=varargin[[1]] + FdL=Fullformfunc(Fd) + Np=c(50,50) + Eps0=10^(-4) + Eps1=0.01 + Eps2=0.05 + ctr=0 + for(jj in Looprange(2,Nargs)){ + tmp=varargin[[jj]] + if((length(tmp)>1)||(tmp>1)){ + Np=tmp + if(length(Np)==1){ + Np=c(Np,Np) + } + }else{ + ctr=ctr+1 + if(ctr==1){Eps1=tmp} + if(ctr==2){Eps2=tmp} + } + } + starttime=proc.time() + Out3=Envelopedata(Fd) #180306 + tmp3=list() + pts=list() #180306 + for(jj in Looprange(1,length(Out3))){ + tmp1=Op(jj,Out3) + tmp2=c() + for(kk in Looprange(1,Length(tmp1))){ + tmp=Op(kk,tmp1) + tmp2=Appendrow(tmp2,XYZfunc(tmp[1],tmp[2])) + } + Nlist=Dropnumlistcrv(tmp2,Eps1) + Nlist=Nlist[[1]] + if(Length(Nlist)==1){ #180306from + tmp=Op(1,Nlist) + tmp=Op(tmp,tmp1) + pts=c(pts,list(tmp)) + }else{ + tmp=c() + for(kk in Looprange(1,length(Nlist))){ + tmp=Appendrow(tmp,Op(Nlist[kk],tmp1)) #18.02.18 + } + if(Length(tmp)>0){ + tmp3=c(tmp3,list(tmp)) + } + } + } + Out3=tmp3 + tmp3=pts #180306from + pts=list() + for(ii in Looprange(1,length(tmp3))){ + tmp=Op(ii,tmp3) + tmp1=XYZfunc(tmp[1],tmp[2]) + flg=0 + for(jj in Looprange(1,length(pts))){ + tmp=Op(jj,pts) + tmp2=XYZfunc(tmp[1],tmp[2]) #180517 + if(Norm(tmp1-tmp2)<Eps1){ + flg=1; break + } + } + if(flg==0){pts=c(pts,list(Op(ii,tmp3)))} + } + for(ii in Looprange(1,length(pts))){ + tmp=Op(ii,pts) + tmp1=XYZfunc(tmp[1],tmp[2]) + for(jj in Looprange(1,length(Out3))){ + tmp2=Op(jj,Out3) + eps=1 + for(kk in Looprange(1,Length(tmp2)-1)){ + tmp=Op(kk,tmp2) + tmp1=XYZfunc(tmp[1],tmp[2]) + tmp=Op(kk+1,tmp2) + tmp=XYZfunc(tmp[1],tmp[2]) + eps=min(c(eps,Norm(tmp1-tmp))) + } + tmp=Ptstart(tmp2) + if(Norm(tmp1-XYZfunc(tmp[1],tmp[2]))<eps+Eps0){ + Out3[[jj]]=Appendrow(Op(ii,pts),tmp2) + next + } + tmp=Ptend(tmp2) + if(Norm(tmp1-XYZfunc(tmp[1],tmp[2]))<eps+Eps0){ + Out3[[jj]]=Appendrow(tmp2,Op(ii,pts)) + next + } + } + } #180306to + IMPLICITDATA<<- Out3 + Tmp=proc.time()-starttime + print(paste('ImplicitData obtained : Time =',sprintf("%6.3f",Tmp[1]),sep='')) + starttime=proc.time() + Out4=Cuspsplitpara(Out3,Eps1) + CUSPDATA<<- Out4 + CUSPPT<<- CUSPSPLITPT + Tmp=proc.time()-starttime + print(paste('CuspData obtained : Time =',sprintf("%6.3f",Tmp[1]),sep='')) + Out5=Borderparadata(Out4,Np,Eps1,Eps2) + return(Out5) +} + +Meetpoints<- function(PtA,PtB,Uveq,Np,Eps1){ + Eps0=10^(-4) + Vec=PtB-PtA + if(Norm(Vec)<Eps0){return(list())} #18.02.24 + Out=list() + Vec=1/Norm(Vec)*Vec + if(length(Np)==1){ + Np=c(Np,Np) + } + Tmp=paste("Eqfun<- function(U,V){",sep='') + if((abs(Vec[2])>Eps0) || (abs(Vec[1])>Eps0)){ + Vstr=sprintf("%6.6f",Vec) + Pstr=sprintf("%6.6f",PtA) + Tmp=paste(Tmp,"(",Vstr[2],")*(Xfunc(U,V)-(",Pstr[1],"))",sep='') + Tmp=paste(Tmp,"-(",Vstr[1],")*(Yfunc(U,V)-(",Pstr[2],"))}",sep='') + }else{ + Tmp=paste(Tmp,"Xfunc(U,V)}",sep='') + } + eval(parse(text=Tmp)) + Dx=(URNG[2]-URNG[1])/Np[1] + Dy=(VRNG[2]-VRNG[1])/Np[2] + for(J in Looprange(1,Np[2])){ + Vval1=VRNG[1]+(J-1)*Dy + Vval2=VRNG[1]+J*Dy + Uval1=URNG[1] #180305(3lines) + Eval11=Eqfun(Uval1,Vval1) + Eval12=Eqfun(Uval1,Vval2) + for(I in Looprange(1,Np[1])){ + Uval2=URNG[1]+I*Dx + Eval21=Eqfun(Uval2,Vval1) + Eval22=Eqfun(Uval2,Vval2) + a1=Uval1;b1=Vval1;c1=Eval11 + a2=Uval2;b2=Vval1;c2=Eval21 + a3=Uval2;b3=Vval2;c3=Eval22 + a4=Uval1;b4=Vval2;c4=Eval12 + PL=matrix(c(a1,b1,a2,b2,a3,b3,a4,b4,a1,b1),ncol=2,byrow=TRUE) + VL=c(c1,c2,c3,c4,c1) + QL=c() + for(K in 1:4){ + P1=Op(K,PL); P2=Op(K+1,PL) + M1=Op(K,VL); M2=Op(K+1,VL) + if(abs(M1)<Eps0){ + QL=Appendrow(QL,P1) + next + } + if(abs(M2)<Eps0){ + next + } + if((M1> 0) && (M2> 0)){ + next + } + if((M1< 0) && (M2< 0)){ + next + } + Tmp=1/(M1-M2)*(-M2*P1+M1*P2) + QL=Appendrow(QL,Tmp) + } + Uval1=Uval2 #180306(3lines) + Eval11=Eval21 + Eval12=Eval22 + if(Length(QL)==2){ + Puv1=Op(1,QL); Puv2=Op(2,QL) + Tmp1=Op(1,Puv1) + Tmp2=Op(2,Puv1) + Xv=Xfunc(Tmp1,Tmp2) + Yv=Yfunc(Tmp1,Tmp2) + Zv=Zfunc(Tmp1,Tmp2) + P1=c(Xv,Yv,Zv) + Tmp1=Op(1,Puv2) + Tmp2=Op(2,Puv2) + Xv=Xfunc(Tmp1,Tmp2) + Yv=Yfunc(Tmp1,Tmp2) + Zv=Zfunc(Tmp1,Tmp2) + P2=c(Xv,Yv,Zv) + V1=Vec[1]; V2=Vec[2]; V3=Vec[3] + if(abs(V1)>Eps0){ + M1=PtA[3]+V3/V1*(P1[1]-PtA[1])-P1[3] + M2=PtA[3]+V3/V1*(P2[1]-PtA[1])-P2[3] + }else if(abs(V2)>Eps0){ + M1=PtA[3]+V3/V2*(P1[2]-PtA[2])-P1[3] + M2=PtA[3]+V3/V2*(P2[2]-PtA[2])-P2[3] + }else{ + M1=PtA[2]-P1[2] + M2=PtA[2]-P2[2] + } + if(M1*M2>= 0){ #18.02.21 + if(((M1>0) && (M2>0)) || ((M1< 0) && (M2< 0))){ + next + } + if(M1==0){ + Pt=P1; Ptuv=Puv1 + }else{ + Pt=P2; Ptuv=Puv2 + } + }else{ + Pt=1/(M1-M2)*(-M2*P1+M1*P2) + Ptuv=1/(M1-M2)*(-M2*Puv1+M1*Puv2) + } + if(is.character(Uveq)){ + Tmp1=paste('(',sprintf("%6.6f",Ptuv[1]),')',sep='') + Tmp2=paste('('+sprintf("%6.6f",Ptuv[2]),')',sep='') + Tmp=gsub(UNAME,Tmp1,Uveq,fixed=TRUE) + Tmp=gsub(VNAME,Tmp2,Tmp,fixed=TRUE) + Tmp=eval(parse(text=Tmp)) + if(Tmp< -Eps0){ + next + } + } + Tmp1=Crossprod(Pt-PtA,Vec) + if(Norm(Tmp1)<Eps1){ #18.02.19 + Tmp1=Dotprod(Pt-PtA,Vec) #18.02.21 + if((Tmp1>-Eps0)&&(Norm(Pt-PtA)<Norm(PtB-PtA)+Eps0)){#180429 + Out=c(Out,list(Pt)) + } + } + } + } + } + tmp1=Groupnearpt(Out,Eps1) + Out=list() + for(jj in Looprange(1,length(tmp1))){ + tmp=Op(jj,tmp1) + tmp=c(sum(tmp[,1]),sum(tmp[,2]),sum(tmp[,3]))/Length(tmp) + Out=c(Out,list(tmp)) + } + return(Out) +} + +Clipindomain<- function(ObjL,FigL){ + Eps0=10^(-4) + Eps1=0.01 + Eps2=0.05 + Bdy=Kyoukai(FigL) + if(length(Bdy)>=2){ + Fbdy=Joincrvs(FigL) + }else{ + Fbdy=Op(1,FigL) + } + if(!is.list(ObjL)){ + ObjL=list(ObjL) + } + if(!is.list(FigL)){ + FigL=list(FigL) + } + OutL=list() + for(Nobj in Looprange(1,length(ObjL))){ + Obj=Op(Nobj,ObjL) + ParL=c(1,Length(Obj)) + Tmp=IntersectcurvesPp(Obj,Fbdy,Eps1,Eps2) + for(J in Looprange(1,length(Tmp))){ + Tmp1=Op(J,Tmp) + ParL=c(ParL,Op(2,Tmp1)) + } + ParL=sort(ParL) + Tmp=c(1) + for(I in Looprange(1,length(ParL))){ + Tmp1=Op(length(Tmp),Tmp) + Tmp2=ParL[I] + if(Tmp2-Tmp1>Eps0){ + Tmp=c(Tmp,Tmp2) + } + } + ParL=Tmp + Tmp1=Op(length(ParL),ParL) + Tmp2=Length(Obj) + if(abs(Tmp1-Tmp2)<Eps1){ + ParL=c(ParL[Looprange(1,length(ParL)-1)],Tmp2) + } + Fig=list() + for(N in Looprange(1,length(ParL)-1)){ + Tmp=(ParL[N]+ParL[N+1])*0.5 + Tmp=Pointoncurve(Tmp,Obj) + Tmp=Naigai(Tmp,Bdy) + Tmp1=sum(Tmp)%%2 + if(Tmp1==0){ + next + } + Fig=c(Fig,list(Partcrv(ParL[N],ParL[N+1],Obj))) + } + OutL=c(OutL,Fig) + } + return(OutL) +} + +Crvsfparadata<- function(...){ + starttime=proc.time() + varargin=list(...) + Nargs=length(varargin) + Sepflg=0 + Tmp=varargin[[Nargs]] + if((is.numeric(Tmp))&&(Tmp<=0)){ + Sepflg=1 + Nargs=Nargs-1 + } + Fk=varargin[[1]] + if(!is.list(Fk)){ + FkL=list(Fk) + }else{ + FkL=Fk + } + Fbdy=Projpara(varargin[[2]]) + Fd=varargin[[3]]; + Fullformfunc(Fd) #18.02.17 + Np=c(50,50) + Eps0=10^(-4) + Eps1=0.01 + Eps2=0.05 + ctr=0 + for(jj in Looprange(4,Nargs)){ + tmp=varargin[[jj]] + if((length(tmp)>1)||(tmp>1)){ + Np=tmp + if(length(Np)==1){ + Np=c(Np,Np) + } + }else{ + ctr=ctr+1 + if(ctr==1){Eps1=tmp} + if(ctr==2){Eps2=tmp} + } + } + Out=list() + CRVSFHIDDENDATA<<- list() + for(Nn in Looprange(1,length(FkL))){ + Fk=Op(Nn,FkL) + Tmp=Projpara(Fk) + Par=Partitionseg(Tmp,Fbdy,Eps1,Eps2,0) + if(Sepflg==0){ + for(I in Looprange(1,Length(Fk)-1)){ + Pa=Op(I,Fk) + Pb=Op(I+1,Fk) + PtL=Meetpoints(Pa,Pb,1,Np,Eps1) + for(J in Looprange(1,Length(PtL))){ + Tmp=Op(J,PtL) + Tmp=Parapt(Tmp) + Tmp1=Paramoncurve(Tmp,I,Projpara(Fk)) + Tmp2=min(abs(Par-Tmp1)) + if(Tmp2*Norm(Parapt(Pb-Pa))>Eps0) { #180227 + Par=c(Par,Tmp1) + } + } + Par=sort(Par) + } + } + for(jj in Looprange(1,length(ADDPOINT))){ #18.02.19from + tmp=Parapt(Op(jj,ADDPOINT)) + tmp=Nearestpt(tmp,Projpara(Fk)) + if(tmp[[3]]<Eps1){ + Par=c(Par,tmp[[2]]) + } + } #18.02.19until + tmp1=sort(Par) + Par=c() + tmp2=-1 + for(jj in Looprange(1,length(tmp1))){ + tmp=Op(jj,tmp1) + if(abs(tmp-tmp2)>Eps0){ #180227 + Par=c(Par,tmp) + tmp2=tmp + } + } + Tmp1=Nohiddenpara2(Par,Fk,1,Np,Eps1,Eps2) + Out=c(Out,Tmp1) + CRVSFHIDDENDATA<<- c(CRVSFHIDDENDATA,HIDDENDATA) + Tmp=paste('Crvsfdata',formatC(Nn,width=2,flag="0"),'/',sep='') + Tmp=paste(Tmp,as.character(length(FkL)),' obtained : Time =',sep='') + Tmp1=proc.time()-starttime + print(paste(Tmp,sprintf("%6.3f",Tmp1[1]),sep='')) + } + return(Out) +} + +Crv3onsfparadata<- function(...){ + starttime=proc.time() + varargin=list(...) + Nargs=length(varargin) + Fk=varargin[[1]] + if(!is.list(Fk)){ + FkL=list(Fk) + }else{ + FkL=Fk + } + Fbdy=Projpara(varargin[[2]]) + Fd=varargin[[3]] + Fullformfunc(Fd) #18.02.17 + Np=c(50,50) + Eps1=0.01 + Eps2=0.05 + ctr=0 + for(jj in Looprange(4,Nargs)){ + tmp=varargin[[jj]] + if((length(tmp)>1)||(tmp>1)){ + Np=tmp + if(length(Np)==1){ + Np=c(Np,Np) + } + }else{ + ctr=ctr+1 + if(ctr==1){Eps1=tmp} + if(ctr==2){Eps2=tmp} + } + } + Out=list() + CRVONSFHIDDENDATA<<- list() + for(Nn in Looprange(1,length(FkL))){ + Fk=Op(Nn,FkL) + Tmp=Projpara(Fk) + Par=Partitionseg(Tmp,Fbdy,Eps1,Eps2,0) + for(jj in Looprange(1,length(ADDPOINT))){ + tmp=Parapt(Op(jj,ADDPOINT)) + tmp=Nearestpt(tmp,Projpara(Fk)) + if(tmp[[3]]<Eps1){ + Par=c(Par,tmp[[2]]) + } + } + Par=sort(Par) + Tmp1=Nohiddenpara2(Par,Fk,1,Np,Eps1,Eps2) + Out=c(Out,Tmp1) + CRVONSFHIDDENDATA<<- c(CRVONSFHIDDENDATA,HIDDENDATA) + Tmp=paste('Crvonsfdata',formatC(Nn,width=2,flag="0"),'/',sep='') + Tmp=paste(Tmp,as.character(length(FkL)),' obtained : Time =',sep='') + Tmp1=proc.time()-starttime + print(paste(Tmp,sprintf("%6.3f",Tmp1[1]),sep='')) + } + return(Out) +} + +Crv2onsfparadata<- function(...){ + starttime=proc.time() + varargin=list(...) + Nargs=length(varargin) + Fuv=varargin[[1]] + Fbdy3=varargin[[2]] + Fd=varargin[[3]] + Fullformfunc(Fd) + if(!is.list(Fuv)){ + Fuv=list(Fuv) + } + FkL=list() + for(jj in Looprange(1,length(Fuv))){ + tmp1=Op(jj,Fuv) + tmp2=c() + for(kk in Looprange(1,Length(tmp1))){ + tmp=Op(kk,tmp1) + tmp2=Appendrow(tmp2,XYZfunc(tmp[1],tmp[2])) + } + FkL=c(FkL,list(tmp2)) + } + Np=c(50,50) + Eps1=0.01 + Eps2=0.05 + ctr=0 + for(jj in Looprange(4,Nargs)){ + tmp=varargin[[jj]] + if((length(tmp)>1)||(tmp>1)){ + Np=tmp + if(length(Np)==1){ + Np=c(Np,Np) + } + }else{ + ctr=ctr+1 + if(ctr==1){Eps1=tmp} + if(ctr==2){Eps2=tmp} + } + } + Out=Crv3onsfparadata(FkL,Fbdy3,Fd,Np,Eps1,Eps2) + return(Out) +} + +Wireparadata<- function(...){ + starttime=proc.time() + varargin=list(...) + Nargs=length(varargin) + Fbdy3=varargin[[1]] + Fd=varargin[[2]] + FdL=Fullformfunc(Fd) + DuL=varargin[[3]] + DvL=varargin[[4]] + Np=c(50,50) + Eps1=0.01 + Eps2=0.1 + ctr=0 + for(jj in Looprange(5,Nargs)){ + tmp=varargin[[jj]] + if((length(tmp)>1)||(tmp>1)){ + Np=tmp + if(length(Np)==1){ + Np=c(Np,Np) + } + }else{ + ctr=ctr+1 + if(ctr==1){Eps1=tmp} + if(ctr==2){Eps2=tmp} + } + } + if(!is.list(DuL)){ #181024 + tmp1=DuL + DuL=list() + for(jj in Looprange(1,tmp1)){ + tmp=jj*(URNG[2]-URNG[1])/(tmp1+1) + DuL=c(DuL,list(tmp)) + } + } + if(!is.list(DvL)){ #181024 + tmp1=DvL + DvL=list() + for(jj in Looprange(1,tmp1)){ + tmp=jj*(VRNG[2]-VRNG[1])/(tmp1+1) + DvL=c(DvL,list(tmp)) + } + } + Fuv=list() + for(jj in Looprange(1,length(DuL))){ + tmp1=paste("c(",as.character(Op(jj,DuL)),",",VNAME,")",sep="") + tmp2=paste("N=",as.character(Np[2]),sep="") + tmp1=Paramplot(tmp1,Op(6,FdL),tmp2) + tmp2=c() + for(kk in Looprange(1,Length(tmp1))){ + tmp=Op(kk,tmp1) + tmp2=Appendrow(tmp2,tmp) + } + Fuv=c(Fuv,list(tmp2)) + } + FkL=list() + for(jj in Looprange(1,length(Fuv))){ + tmp1=Op(jj,Fuv) + tmp2=c() + for(kk in Looprange(1,Length(tmp1))){ + tmp=Op(kk,tmp1) + tmp2=Appendrow(tmp2,XYZfunc(tmp[1],tmp[2])) + } + FkL=c(FkL,list(tmp2)) + } + Tmp1=proc.time()-starttime + cat(UNAME,"direction started","\n") + Out1=Crv3onsfparadata(FkL,Fbdy3,Fd,Np,Eps1,Eps2) + WIREHIDDENDATA<<- CRVONSFHIDDENDATA + Fuv=list() + for(jj in Looprange(1,length(DvL))){ + tmp1=paste("c(",UNAME,",",as.character(Op(jj,DvL)),")",sep="") + tmp2=paste("N=",as.character(Np[2]),sep="") + tmp1=Paramplot(tmp1,Op(5,FdL),tmp2) + tmp2=c() + for(kk in Looprange(1,Length(tmp1))){ + tmp=Op(kk,tmp1) + tmp2=Appendrow(tmp2,tmp) + } + Fuv=c(Fuv,list(tmp2)) + } + FkL=list() + for(jj in Looprange(1,length(Fuv))){ + tmp1=Op(jj,Fuv) + tmp2=c() + for(kk in Looprange(1,Length(tmp1))){ + tmp=Op(kk,tmp1) + tmp2=Appendrow(tmp2,XYZfunc(tmp[1],tmp[2])) + } + FkL=c(FkL,list(tmp2)) + } + cat(VNAME,"direction started","\n") + Out2=Crv3onsfparadata(FkL,Fbdy3,Fd,Np,Eps1,Eps2) + WIREHIDDENDATA<<- c(WIREHIDDENDATA, CRVONSFHIDDENDATA) + Out=c(Out1,Out2) + return(Out) +} + +Intersectcrvsf<- function(...){ + # bdyeq is the equation of boundary f(x,y,z) =0 + starttime=proc.time() + varargin=list(...) + Nargs=length(varargin) + crv=varargin[[1]] + Fd=varargin[[2]] + Fullformfunc(Fd) + bdyflg=0 + bdyeq=varargin[[Nargs]] + if(is.character(bdyeq)){ + Nargs=Nargs-1 + bdyflg=1 + tmp=strsplit(bdyeq,"=",fixed=TRUE) + tmp=tmp[[1]] + if(length(tmp)>1){ + bdyeq=paste("(",tmp[1],")-(",tmp[2],")",sep="") + } + tmp=paste("bdyeq<- function(P){x=P[1];y=P[2];z=P[3];",bdyeq,"}",sep="") + eval(parse(text=tmp)) + } + Eps0=10^(-4) + Np=c(50,50) + Eps1=0.01 + Eps2=0.05 + ctr=0 + for(jj in Looprange(3,Nargs)){ + tmp=varargin[[jj]] + if((length(tmp)>1)||(tmp>1)){ + Np=tmp + if(length(Np)==1){ + Np=c(Np,Np) + } + }else{ + ctr=ctr+1 + if(ctr==1){Eps1=tmp} + if(ctr==2){Eps2=tmp} + } + } + PtL=list() + for(I in Looprange(1,Length(crv)-1)){ + Pa=Op(I,crv) + Pb=Op(I+1,crv) + if(bdyflg==0){ + tmp=Meetpoints(Pa,Pb,1,Np,Eps1) + }else{ + M1=bdyeq(Pa); M2=bdyeq(Pb) + if(M1*M2>= 0){ #18.02.21 + if(((M1>0) && (M2>0)) || ((M1< 0) && (M2< 0))){ + next + } + if(M1==0){ + tmp=list(Pa) + }else{ + tmp=list(Pb) + } + }else{ + while(Norm(Pb-Pa)>Eps0){ + if(bdyeq(Pa)==0){ + tmp=list(Pa) + break + } + if(bdyeq(Pa)*bdyeq((Pa+Pb)/2)>0){ + Pa=(Pa+Pb)/2 + }else{ + Pb=(Pa+Pb)/2 + } + } + tmp=list(1/(M1-M2)*(-M2*Pa+M1*Pb)) + } + } + PtL=c(PtL,tmp) + } + Tmp=paste('Intersectcrvsf obtained : Time =',sep='') + Tmp1=proc.time()-starttime + print(paste(Tmp,sprintf("%6.3f",Tmp1[1]),sep='')) + return(PtL) +} + +Sfcutparadata<- function(...){ + varargin=list(...) + Nargs=length(varargin) + CutD=varargin[[1]] + Fbdy3=varargin[[2]] + Fd=varargin[[3]] + FdL=Fullformfunc(Fd) + Np=c(50,50) + Eps0=10^(-4) + Eps1=0.01 + Eps2=0.05 + ctr=0 + for(jj in Looprange(4,Nargs)){ + Tmp=varargin[[jj]] + if((length(Tmp)>1)||(Tmp>1)){ + Np=Tmp + if(length(Np)==1){ + Np=c(Np,Np) + } + }else{ + ctr=ctr+1 + if(ctr==1){Eps1=Tmp} + if(ctr==2){Eps2=Tmp} + } + } + starttime=proc.time() + Tmp=strsplit(CutD,'=') + Tmp=Tmp[[1]] + if(length(Tmp)==1){ + Eq=CutD + }else{ + Eq=paste("(",Tmp[1],")-(",Tmp[2],")",sep="") + } + Eq=gsub("x","Xfunc(U,V)",Eq,fixed=TRUE) + Eq=gsub("y","Yfunc(U,V)",Eq,fixed=TRUE) + Eq=gsub("z","Zfunc(U,V)",Eq,fixed=TRUE) + Tmp=paste("Eqfun<<- function(U,V){",Eq,"}",sep="") + eval(parse(text=Tmp)) + Du=(URNG[2]-URNG[1])/Np[1] + Dv=(VRNG[2]-VRNG[1])/Np[2] + Out=list();Out2=list() + for(J in Looprange(1,Np[2])){ + Vval1=VRNG[1]+(J-1)*Dv + Vval2=VRNG[1]+J*Dv + Uval1=URNG[1] #180305(3lines) + Eval11=Eqfun(Uval1,Vval1) + Eval12=Eqfun(Uval1,Vval2) + for(I in Looprange(1,Np[1])){ + Uval2=URNG[1]+I*Du + Eval21=Eqfun(Uval2,Vval1) + Eval22=Eqfun(Uval2,Vval2) + a1=Uval1;b1=Vval1;c1=Eval11 + a2=Uval2;b2=Vval1;c2=Eval21 + a3=Uval2;b3=Vval2;c3=Eval22 + a4=Uval1;b4=Vval2;c4=Eval12 + PL=matrix(c(a1,b1,a2,b2,a3,b3,a4,b4,a1,b1),ncol=2,byrow=TRUE) + VL=c(c1,c2,c3,c4,c1) + QL=c() + for(K in 1:4){ + P1=Op(K,PL); P2=Op(K+1,PL) + M1=Op(K,VL); M2=Op(K+1,VL) + if(abs(M1)<Eps0){ + QL=Appendrow(QL,P1) + next + } + if(abs(M2)<Eps0){ + next + } + if((M1> 0) && (M2> 0)){ + next + } + if((M1< 0) && (M2< 0)){ + next + } + Tmp=1/(M1-M2)*(-M2*P1+M1*P2) + QL=Appendrow(QL,Tmp) + } + Uval1=Uval2 #180306(3lines) + Eval11=Eval21 + Eval12=Eval22 + if(Length(QL)==2){ + q11=QL[1,1];q12=QL[1,2];q21=QL[2,1];q22=QL[2,2] + if(((q11==a1)&&(q21==a1))||((q11==a3)&&(q21==a3))){ + if(((q21==b1)&&(q22==b1))||((q21==b3)&&(q22==b3))){ + Out2=c(Out2,list(QL)) + }else{ + Out=c(Out,list(QL)) + } + next + } + if(((q12==b1)&&(q22==b1))||((q12==b3)&&(q22==b3))){ + if(((q11==a1)&&(q21==a1))||((q11==a3)&&(q21==a3))){ + Out2=c(Out2,list(QL)) + }else{ + Out=c(Out,list(QL)) + } + next + } + Out=c(Out,list(QL)) + } + } + } + while(length(Out2)>0){ + tmp1=Out2[[1]] + Out=c(Out,list(tmp1)) + Out2=Out2[-1] + rmv=c() + for(jj in Looprange(1,length(Out2))){ + tmp2=Out2[[jj]] + diff1=Norm(tmp2[1,]-tmp1[1,])+Norm(tmp2[2,]-tmp1[2,]) + diff2=Norm(tmp2[1,]-tmp1[2,])+Norm(tmp2[2,]-tmp1[1,]) + if((diff1<Eps0)||(diff2<Eps0)){ + rmv=c(rmv,jj) + next + } + } + Out2=Out2[-rmv] + } + Out=Connectseg(Out,Eps1) + Tmp1=Out + Out=list() + for(ii in Looprange(1,length(Tmp1))){ + Tmp2=Op(ii,Tmp1) + Tmp3=c() + for(jj in Looprange(1,Length(Tmp2))){ + Tmp=Op(jj,Tmp2) + Tmp=XYZfunc(Tmp[1],Tmp[2]) + if(Length(Tmp3)>0){ + if(Norm(Op(Length(Tmp3),Tmp3)-Tmp)<Eps1){next} + } + Tmp3=Appendrow(Tmp3,Tmp) + } + Out=c(Out,list(Tmp3)) + } + Out=Crv3onsfparadata(Out,Fbdy3,Fd,Np,Eps1,Eps2) + return(Out) +} |