Rcas.tsDescription: application/linguist
|
| From: | Joris van der Hoeven |
| Subject: | [Texmacs-dev] Re: texmacs... a couple of questions.... (fwd) |
| Date: | Fri, 29 Nov 2002 15:05:58 +0100 (MET) |
Many thanks to Michael Lachmann for his experimental interface with GNU R,
which will also be used when we will write our universal spreadsheet
inside TeXmacs.
I have a silly question: in order to use the programs I have to write
new scripts which call perl with an explicit filename. Using the perl
scripts right away give me a stupid message
bash: /home/vdhoeven/local/bin/mycas: bad interpreter: No such file or
directory
Why is that? Why is my file not recognized as a perl script
when the first line is
#!/usr/bin/perl
Should I put some further options behind it?
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;;
;; MODULE : Rcas.scm
;; DESCRIPTION : Special support for R
;; COPYRIGHT : (C) 1999 Joris van der Hoeven
;;
;; This software falls under the GNU general public license and comes WITHOUT
;; ANY WARRANTY WHATSOEVER. See the file $TEXMACS_PATH/LICENSE for details.
;; If you don't have this file, write to the Free Software Foundation, Inc.,
;; 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
;;
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;; Giac menu
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
(define (giac-cursor-pos l)
(cond ((null? l) 0)
((null? (cdr l)) 1)
((and (equal? (car l) #\() (equal? (cadr l) #\))) 1)
((and (equal? (car l) #\() (equal? (cadr l) #\,)) 1)
((and (equal? (car l) #\,) (equal? (cadr l) #\))) 1)
((and (equal? (car l) #\,) (equal? (cadr l) #\,)) 1)
(else (+ (giac-cursor-pos (cdr l)) 1))))
(define (giac-insert s)
(insert-tree-go-to (object->tree s)
(list (giac-cursor-pos (string->list s)))))
(define giac-functions-menu
'(("Normal" (giac-insert "normal()"))
("Factor" (giac-insert "factor()"))
("Simplify" (giac-insert "simplify()"))
("Partfrac" (giac-insert "partfrac()"))
---
(-> "Plot"
("Plot setup" (giac-insert "plot(file=,test=)"))
("Plotfunc" (giac-insert "plotfunc()"))
("Plotparam" (giac-insert "plotparam()"))
("Plotpolar" (giac-insert "plotpolar()"))
("Plotseq" (giac-insert "plotseq()")))
---
(-> "Constants"
("e" (giac-insert "e"))
("i" (giac-insert "i"))
("pi" (giac-insert "pi"))
("+infinity" (giac-insert "+infinity"))
("-infinity" (giac-insert "-infinity"))
("infinity" (giac-insert "infinity"))
("undef" (giac-insert "undef")))
(-> "Real"
("Abs" (giac-insert "abs()"))
("Factorial" (giac-insert "factorial()"))
("Max" (giac-insert "max()"))
("Min" (giac-insert "min()"))
("Sign" (giac-insert "sign()")))
(-> "Complex"
("Abs" (giac-insert "abs()"))
("Arg" (giac-insert "arg()"))
("Conj" (giac-insert "conj()"))
("Im" (giac-insert "im()"))
("Re" (giac-insert "re()")))
(-> "Exponential functions"
("Exp" (giac-insert "exp()"))
("Ln" (giac-insert "ln()"))
("Log10" (giac-insert "log10()")))
(-> "Trigonometric functions"
("Acos" (giac-insert "acos()"))
("Asin" (giac-insert "asin()"))
("Atan" (giac-insert "atan()"))
("Cos" (giac-insert "cos()"))
("Sin" (giac-insert "sin()"))
("Tan" (giac-insert "tan()")))
(-> "Hyperbolic functions"
("Acosh" (giac-insert "acosh()"))
("Asinh" (giac-insert "asinh()"))
("Atanh" (giac-insert "atanh()"))
("Cosh" (giac-insert "cosh()"))
("Sinh" (giac-insert "sinh()"))
("Tanh" (giac-insert "tanh()")))
(-> "Special functions"
("Airy_Ai" (giac-insert "Airy_Ai()"))
("Airy_Bi" (giac-insert "Airy_Bi"))
("Gamma" (giac-insert "gamma()"))
("Psi" (giac-insert "psi()"))
("Zeta" (giac-insert "zeta()")))
---
(-> "Integer arithmetic"
("Gcd" (giac-insert "gcd()"))
("Lcm" (giac-insert "lcm()"))
("Euler" (giac-insert "euler()"))
("Iabcuv" (giac-insert "iabcuv()"))
("Ichinrem" (giac-insert "ichinrem()"))
("Iegcd" (giac-insert "iegcd()"))
("Ifactor" (giac-insert "ifactor()"))
("Ifactors" (giac-insert "ifactors()"))
("Iquo" (giac-insert "iquo()"))
("Irem" (giac-insert "irem()"))
("Is_prime" (giac-insert "is_prime()"))
("Nextprime" (giac-insert "nextprime()"))
("Pa2b2" (giac-insert "pa2b2()"))
("Prevprime" (giac-insert "prevprime()")))
(-> "Polynomial arithmetic"
("Gcd" (giac-insert "gcd()"))
("Lcm" (giac-insert "lcm()"))
("Abcuv" (giac-insert "abcuv()"))
("Chinrem" (giac-insert "chinrem()"))
("Cyclotomic" (giac-insert "cyclotomic()"))
("Divis" (giac-insert "divis()"))
("E2r" (giac-insert "e2r()"))
("Egcd" (giac-insert "egcd()"))
("Factor" (giac-insert "factor()"))
("Hermite" (giac-insert "hermite()"))
("Laguerre" (giac-insert "laguerre()"))
("Pcoeff" (giac-insert "pcoeff()"))
("Peval" (giac-insert "peval()"))
("Proot" (giac-insert "proot()"))
("Quo" (giac-insert "quo()"))
("Quorem" (giac-insert "quorem()"))
("Rem" (giac-insert "rem()"))
("R2e" (giac-insert "r2e()"))
("Ranm" (giac-insert "ranm()"))
("Tchebyshev1" (giac-insert "tchebyshev1()"))
("Tchebyshev2" (giac-insert "tchebyshev2()")))
(-> "Calculus"
("Curl" (giac-insert "curl()"))
("Diff" (giac-insert "diff()"))
("Desolve" (giac-insert "desolve()"))
("Divergence" (giac-insert "divergence()"))
("Hessian" (giac-insert "hessian()"))
("Integrate" (giac-insert "integrate()"))
("Laplacian" (giac-insert "laplacian()"))
("Limit" (giac-insert "limit()"))
("Series" (giac-insert "series()"))
("Solve" (giac-insert "solve()"))
("Sum" (giac-insert "sum()")))
(-> "Numeric analysis"
("Newton" (giac-insert "newton()"))
("Romberg" (giac-insert "romberg()"))
("Bisection" (giac-insert "fsolve(,bisection_solver)"))
("Brent" (giac-insert "fsolve(,brent_solver)"))
("Falsepos" (giac-insert "fsolve(,falsepos_solver)"))
("Newton" (giac-insert "fsolve(,newton_solver)"))
("Secant" (giac-insert "fsolve(,secant_solver)"))
("Newton D" (giac-insert "fsolve(,dnewton_solver)"))
("Hybrid" (giac-insert "fsolve(,hybrid_solver)"))
("Hybrid S" (giac-insert "fsolve(,hybrids_solver)"))
("Newton Jacobian" (giac-insert "fsolve(,newtonj_solver)"))
("Hybrid Jacobian" (giac-insert "fsolve(,hybridj_solver)"))
("Hybrid S Jacobian" (giac-insert "fsolve(,hybridsj_solver)")))
(-> "Transformations"
("Fourier_an" (giac-insert "fourier_an()"))
("Fourier_bn" (giac-insert "fourier_bn()"))
("Fourier_cn" (giac-insert "fourier_cn()"))
("Inverse laplace" (giac-insert "ilaplace()"))
("Laplace" (giac-insert "laplace()")))
(-> "Rewriting"
("Hyp2exp" (giac-insert "hyp2exp()"))
("Lin" (giac-insert "lin()"))
("Lncollect" (giac-insert "lncollect()"))
("Sincos" (giac-insert "sincos()"))
("Trig2exp" (giac-insert "trig2exp()"))
("Tsimplify" (giac-insert "tsimplify()")))
(-> "Trigonometric rewriting"
("Halftan" (giac-insert "halftan()"))
("Tan2sincos" (giac-insert "tan2sincos()"))
("Tan2sincos2" (giac-insert "tan2sincos2()"))
("Tcollect" (giac-insert "tcollect()"))
("Texpand" (giac-insert "texpand()"))
("Trigcos" (giac-insert "trigcos()"))
("Trigsin" (giac-insert "trigsin()"))
("Trigtan" (giac-insert "trigtan()"))
("Tlin" (giac-insert "tlin()")))
(-> "Inverse trigonometric rewriting"
("Acos2asin" (giac-insert "acos2asin()"))
("Acos2atan" (giac-insert "acos2atan()"))
("Asin2acos" (giac-insert "asin2acos()"))
("Asin2atan" (giac-insert "asin2atan()"))
("Atan2acos" (giac-insert "atan2acos()"))
("Atan2asin" (giac-insert "atan2asin()")))
---
(-> "Vector"
("Abs" (giac-insert "abs()"))
("Scalar product" (giac-insert "dot()"))
("Vector product" (giac-insert "cross()")))
(-> "Matrix"
("Hadamard" (giac-insert "hadamard()"))
("Identity" (giac-insert "idn()"))
("Inverse" (giac-insert "inv()"))
("Random" (giac-insert "ranm()"))
("Trace" (giac-insert "trace()"))
("Transconjugate" (giac-insert "trn()"))
("Transpose" (giac-insert "tran()"))
("Vandermonde" (giac-insert "vandermonde()")))
(-> "Eigenvalues and vectors"
("Eigenvectors" (giac-insert "egv()"))
("Eigenvalues" (giac-insert "egvl()"))
("Jordan" (giac-insert "jordan()")))
(-> "Matrix factorization"
("Cholesky" (giac-insert "cholesky()"))
("Lu" (giac-insert "lu()"))
("Qr" (giac-insert "qr()"))
("Svd" (giac-insert "svd()")))
(-> "Quadratic forms"
("Axq" (giac-insert "axq()"))
("Gauss" (giac-insert "gauss()"))
("Qxa" (giac-insert "qxa()")))
(-> "Gauss-Jordan pivot"
("Basis" (giac-insert "basis()"))
("Basis intersection" (giac-insert "ibasis()"))
("Ker" (giac-insert "ker()"))
("Image" (giac-insert "image()"))
("Linsolve" (giac-insert "linsolve()"))
("Rref" (giac-insert "rref()")))
(-> "Isometries"
("Isom" (giac-insert "isom()"))
("Mkisom" (giac-insert "mkisom()")))))
;;;;;;;;;;;;;;;;;;;
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;; Specific conversion routines
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
(define (Rcas-input-var-row r)
(if (not (null? r))
(begin
(display ", ")
(cas-input (car r))
(Rcas-input-var-row (cdr r)))))
(define (Rcas-input-row r)
(cas-input (car r))
(Rcas-input-var-row (cdr r))
)
(define (Rcas-input-var-rows t)
(if (not (null? t))
(begin
(display ", ")
(Rcas-input-row (car t))
(Rcas-input-var-rows (cdr t)))))
(define (Rcas-input-rows t)
(display "t(matrix(c(")
(Rcas-input-row (car t))
(Rcas-input-var-rows (cdr t))
(display "), ")
(display (length (car t)))
(display ", ")
(display (length t))
(display " ))")
)
(define (Rcas-input-det args)
(display "det(")
(cas-input-descend-last args)
(display ")"))
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;; Initialization
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
(connection-declare "Rcas" "Rcas")
(connection-format "Rcas" "verbatim" "generic")
(set! session-menu (menu-merge session-menu
'(("R" (make-session "Rcas" "default")))))
(define (in-Rcas?) (equal? (get-env "prog language") "Rcas"))
;(cas-supports-completions-set! "Rcas")
(display "")
(set! texmacs-extra-menu (menu-merge texmacs-extra-menu
'(if (equal? (get-env "prog language") "Rcas")
(=> "Rcas" (link giac-functions-menu)))))
(cas-supports-math-input-set! "Rcas")
(set! cas-input-current-cas "Rcas")
(cas-input-set! 'rows Rcas-input-rows)
(cas-input-set! 'det Rcas-input-det)
(cas-input-set! 'sum Rcas-input-det)
(cas-input-set! "<vee>" " | ")
(cas-input-set! "<wedge>" " & ")
(cas-input-set! "<leftarrow>" " <less>- ")
(cas-input-set! "<infty>" " Inf ")
(cas-input-set! "<sum>" "sum")
(cas-input-set! "<varnothing>" "NULL")
(cas-input-set! "<cdots>" ":")
(cas-input-set! "<ldots>" ":")
(cas-input-set! "<ldots>" ":")
(cas-input-set! "<big-sum-2>" "sum")
(cas-input-set! "<big-sum>" "sum")
(cas-input-set! "<Sum>" "sum")
(cas-input-set! "<Sum>" "sum")
(cas-input-set! "<Sum>" "sum")
(cas-input-set! "<Sum>" "sum")
(display "")
Rcas.ts
Description: application/linguist
test_texmacs_R.ps
Description: PostScript document
<TeXmacs|1.0.0.17>
<style|<tuple|generic|Rcas>>
<\body>
<\session|Rcas|default>
<\output>
\;
R : Copyright 2002, The R Development Core Team
Version 1.6.1 \ (2002-11-01)
\;
R is free software and comes with ABSOLUTELY NO WARRANTY.
You are welcome to redistribute it under certain conditions.
Type `license()' or `licence()' for distribution details.
\;
R is a collaborative project with many contributors.
Type `contributors()' for more information.
\;
Type `demo()' for some demos, `help()' for on-line help, or
`help.start()' for a HTML browser interface to help.
Type `q()' to quit R.
\;
[Previously saved workspace restored]
\;
---------------------------------------------------------
TeXmacs interface. Use v() to insert current graphic into
TeXmacs buffer. Use q("yes") to quit and save.
---------------------------------------------------------
\;
</output>
<input|<\with|color|red>
<with|mode|math|\<succ\>><with|color|black|>
</with> |<\var_expand|math>
A\<leftarrow\><matrix|<tformat|<table|<row|<cell|1>|<cell|6>|<cell|3>>|\
<row|<cell|2>|<cell|7>|<cell|4>>|<row|<cell|5>|<cell|8>|<cell|9>>|<row|\
<cell|3>|<cell|4>|<cell|5>>>>>
</var_expand>>
<input|<\with|color|red>
<with|mode|math|\<succ\>><with|color|black|>
</with> |<\var_expand|math>
A<rsub|1:2,2:3>
</var_expand>>
<\output>
\ \ \ \ \ [,1] [,2]
[1,] \ \ \ 6 \ \ \ 3
[2,] \ \ \ 7 \ \ \ 4
\;
</output>
<input|<\with|color|red>
<with|mode|math|\<succ\>><with|color|black|>
</with> |<\var_expand|math>
A<rsub|1\<ldots\>2,2\<ldots\>3>\<leftarrow\><matrix|<tformat|<table|<ro\
w|<cell|11>|<cell|13>>|<row|<cell|12>|<cell|14>>>>>
</var_expand>>
<input|<\with|color|red>
<with|mode|math|\<succ\>><with|color|black|>
</with> |<\var_expand|math>
A
</var_expand>>
<\output>
\ \ \ \ \ [,1] [,2] [,3]
[1,] \ \ \ 1 \ \ 11 \ \ 13
[2,] \ \ \ 2 \ \ 12 \ \ 14
[3,] \ \ \ 5 \ \ \ 8 \ \ \ 9
[4,] \ \ \ 3 \ \ \ 4 \ \ \ 5
\;
</output>
<input|<\with|color|red>
<with|mode|math|\<succ\>><with|color|black|>
</with> |<\var_expand|math>
l\<leftarrow\><frac|1\<ldots\>100|12>
</var_expand>>
<input|<\with|color|red>
<with|mode|math|\<succ\>><with|color|black|>
</with> |<\var_expand|math>
plot(l,sin(l));v()
</var_expand>>
<\output>
\;
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<input|<\with|color|red>
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</output>
<input|<\with|color|red>
<with|mode|math|\<succ\>><with|color|black|>
</with> |<\var_expand|math>
\;
</var_expand>>
\;
</session>
And now outside. Let us use R a bit better...
<\session|Rcas|default>
<input|Rcas] |<\var_expand|math>
\<alpha\>\<leftarrow\>rnorm(1000)
</var_expand>>
<input|<\with|color|red>
<with|mode|math|\<succ\>><with|color|black|>
</with> |<\var_expand|math>
hist(\<alpha\>);v()
</var_expand>>
<\output>
\;
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<input|<\with|color|red>
<with|mode|math|\<succ\>><with|color|black|>
</with> |<\var_expand|math>
summary(alpha)
</var_expand>>
<\output>
\ \ \ \ Min. \ 1st Qu. \ \ Median \ \ \ \ Mean \ 3rd Qu. \ \ \ \ Max.\
-2.97300 -0.73060 -0.06853 -0.06120 \ 0.63900 \ 2.98800\
\;
</output>
<input|<\with|color|red>
<with|mode|math|\<succ\>><with|color|black|>
</with> |<\var_expand|math>
qqnorm(\<alpha\>);v()
</var_expand>>
<\output>
\;
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\ \ 2\
\;
</output>
\;
</session>
Now we will skew this distribution somewhat
<\session|Rcas|default>
<input|Rcas] |<\var_expand|math>
\<alpha\><rsub|3\<ldots\>400>\<leftarrow\>runif(398)
</var_expand>>
<input|<\with|color|red>
<with|mode|math|\<succ\>><with|color|black|>
</with> |<\var_expand|math>
qqnorm(\<alpha\>);v()
</var_expand>>
<\output>
\;
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241.14 2.70 c p1\n197.63 205.85 2.70 c p1\n155.30 159.64 2.70 c
p1\n216.28 232.19 2.70 c p1\n381.12 360.88 2.70 c p1\n347.67 319.73
2.70 c p1\n223.88 242.37 2.70 c p1\n328.41 310.54 2.70 c p1\n238.62
259.72 2.70 c p1\n232.23 252.07 2.70 c p1\n252.06 268.48 2.70 c
p1\n269.45 277.65 2.70 c p1\n209.14 222.28 2.70 c p1\n173.36 180.21
2.70 c p1\n216.07 231.86 2.70 c p1\n307.03 299.57 2.70 c p1\n167.12
170.50 2.70 c p1\n199.64 208.64 2.70 c p1\n197.04 204.95 2.70 c
p1\n277.26 282.44 2.70 c p1\n153.46 158.77 2.70 c p1\n237.96 259.52
2.70 c p1\n209.38 222.44 2.70 c p1\n234.46 254.94 2.70 c p1\n158.69
162.42 2.70 c p1\n193.99 202.58 2.70 c p1\n278.16 283.19 2.70 c
p1\n167.73 173.07 2.70 c p1\n193.36 201.96 2.70 c p1\n186.09 193.55
2.70 c p1\n273.71 279.63 2.70 c p1\n220.18 238.05 2.70 c p1\n323.71
308.42 2.70 c p1\n373.14 350.25 2.70 c p1\n291.08 290.17 2.70 c
p1\n225.95 244.99 2.70 c p1\n227.43 246.14 2.70 c p1\n390.66 378.52
2.70 c p1\n239.60 260.11 2.70 c p1\n171.21 178.16 2.70 c p1\n281.16
285.19 2.70 c p1\n163.86 167.21 2.70 c p1\n224.83 243.48 2.70 c
p1\n118.01 133.73 2.70 c p1\n349.25 321.81 2.70 c p1\n364.28 338.52
2.70 c p1\n223.31 241.59 2.70 c p1\n290.92 290.05 2.70 c p1\n261.70
273.71 2.70 c p1\n418.65 400.64 2.70 c p1\n205.23 218.09 2.70 c
p1\n333.83 312.57 2.70 c p1\n195.54 203.89 2.70 c p1\n247.65 265.63
2.70 c p1\n328.66 310.71 2.70 c p1\n149.39 155.82 2.70 c p1\n176.83
181.34 2.70 c p1\n207.22 220.19 2.70 c p1\n202.11 213.97 2.70 c
p1\n274.74 280.11 2.70 c p1\n203.43 216.53 2.70 c p1\n223.69 242.04
2.70 c p1\n251.76 268.41 2.70 c p1\n308.35 300.41 2.70 c p1\n307.97
300.37 2.70 c p1\n229.59 249.14 2.70 c p1\n322.54 307.83 2.70 c
p1\n221.96 239.88 2.70 c p1\n174.89 180.79 2.70 c p1\n458.22 431.02
2.70 c p1\n395.29 381.84 2.70 c p1\n204.98 218.09 2.70 c p1\n392.11
379.73 2.70 c p1\n148.28 155.35 2.70 c p1\n203.69 217.00 2.70 c
p1\n154.39 159.25 2.70 c p1\n352.60 324.66 2.70 c p1\n209.61 223.66
2.70 c p1\n193.03 201.64 2.70 c p1\n204.72 217.99 2.70 c p1\n232.57
252.67 2.70 c p1\n323.47 308.12 2.70 c p1\n270.04 277.92 2.70 c
p1\n311.84 301.76 2.70 c p1\n287.29 288.47 2.70 c p1\n229.41 249.11
2.70 c p1\n201.84 212.69 2.70 c p1\n373.93 351.18 2.70 c p1\n260.23
272.65 2.70 c p1\n166.49 170.12 2.70 c p1\n178.23 183.70 2.70 c
p1\n368.75 345.06 2.70 c p1\n317.19 305.30 2.70 c p1\n250.09 267.16
2.70 c p1\n370.15 347.93 2.70 c p1\n348.45 320.57 2.70 c p1\n346.53
318.48 2.70 c p1\n259.05 271.78 2.70 c p1\n360.85 333.71 2.70 c
p1\n257.72 271.34 2.70 c p1\n213.25 227.68 2.70 c p1\n177.30 182.45
2.70 c p1\n348.06 319.96 2.70 c p1\n218.36 235.09 2.70 c p1\n193.67
201.98 2.70 c p1\n231.18 250.73 2.70 c p1\n217.74 234.29 2.70 c
p1\n210.77 224.57 2.70 c p1\n274.45 280.04 2.70 c p1\n225.21 243.77
2.70 c p1\n194.62 202.71 2.70 c p1\n289.65 289.38 2.70 c p1\n221.17
239.19 2.70 c p1\n271.06 278.53 2.70 c p1\n180.02 184.68 2.70 c
p1\n230.48 250.38 2.70 c p1\n369.44 347.86 2.70 c p1\n310.27 301.11
2.70 c p1\n211.00 224.76 2.70 c p1\n255.50 270.03 2.70 c p1\n230.12
250.25 2.70 c p1\n291.40 290.46 2.70 c p1\n235.30 256.14 2.70 c
p1\n229.05 248.34 2.70 c p1\n74.39 87.19 2.70 c p1\n233.43 253.58 2.70
c p1\n241.85 261.47 2.70 c p1\n360.31 333.62 2.70 c p1\n249.03 266.61
2.70 c p1\n191.06 198.75 2.70 c p1\n353.48 325.63 2.70 c p1\n335.57
312.81 2.70 c p1\n211.23 224.77 2.70 c p1\n227.24 246.07 2.70 c
p1\n277.41 282.75 2.70 c p1\n267.11 276.86 2.70 c p1\n234.63 255.20
2.70 c p1\n306.48 298.94 2.70 c p1\n398.90 383.74 2.70 c p1\n218.97
236.22 2.70 c p1\n187.20 194.60 2.70 c p1\n215.64 231.49 2.70 c
p1\n219.98 237.58 2.70 c p1\n152.49 158.73 2.70 c p1\n230.65 250.54
2.70 c p1\n256.24 270.54 2.70 c p1\n233.26 253.34 2.70 c p1\n248.11
266.17 2.70 c p1\n232.75 252.82 2.70 c p1\n279.80 284.10 2.70 c
p1\n248.72 266.54 2.70 c p1\n202.90 215.52 2.70 c p1\n182.96 190.00
2.70 c p1\n205.98 219.64 2.70 c p1\n222.35 240.17 2.70 c p1\n376.43
357.42 2.70 c p1\n250.55 267.56 2.70 c p1\n284.51 287.05 2.70 c
p1\n411.17 400.36 2.70 c p1\n244.85 263.31 2.70 c p1\n278.60 283.39
2.70 c p1\n343.62 315.42 2.70 c p1\n261.55 273.57 2.70 c p1\n235.64
256.47 2.70 c p1\n256.98 270.91 2.70 c p1\n226.69 245.29 2.70 c
p1\n318.70 306.07 2.70 c p1\n345.78 317.32 2.70 c p1\n204.47 217.38
2.70 c p1\n180.88 187.37 2.70 c p1\n143.34 149.66 2.70 c p1\n217.33
234.11 2.70 c p1\n191.40 199.70 2.70 c p1\n300.39 296.42 2.70 c
p1\n335.28 312.80 2.70 c p1\n302.14 297.25 2.70 c p1\n204.21 217.38
2.70 c p1\n206.73 219.84 2.70 c p1\n252.96 268.90 2.70 c p1\n226.88
245.78 2.70 c p1\n230.30 250.32 2.70 c p1\n253.11 268.90 2.70 c
p1\n205.73 219.22 2.70 c p1\n251.46 267.94 2.70 c p1\n267.70 276.99
2.70 c p1\n231.88 251.49 2.70 c p1\n284.35 287.01 2.70 c p1\n194.30
202.59 2.70 c p1\n403.11 386.35 2.70 c p1\n121.45 136.19 2.70 c
p1\n198.21 206.38 2.70 c p1\n150.46 157.13 2.70 c p1\n285.74 287.49
2.70 c p1\n222.54 240.28 2.70 c p1\n214.57 230.39 2.70 c p1\n328.15
310.50 2.70 c p1\n181.31 188.19 2.70 c p1\n374.74 353.47 2.70 c
p1\n124.44 139.67 2.70 c p1\n288.39 288.93 2.70 c p1\n175.38 180.87
2.70 c p1\n131.70 140.72 2.70 c p1\n151.49 158.00 2.70 c p1\n170.66
178.05 2.70 c p1\n352.16 324.24 2.70 c p1\n304.10 298.20 2.70 c
p1\n298.16 295.27 2.70 c p1\n161.01 164.68 2.70 c p1\n199.92 208.64
2.70 c p1\n247.34 265.34 2.70 c p1\n215.43 231.33 2.70 c p1\n168.34
173.53 2.70 c p1\n400.92 384.39 2.70 c p1\n351.73 323.87 2.70 c
p1\n160.25 164.54 2.70 c p1\n200.20 209.35 2.70 c p1\n229.77 249.91
2.70 c p1\n208.19 221.74 2.70 c p1\n370.87 348.34 2.70 c p1\n261.99
273.97 2.70 c p1\n271.21 278.57 2.70 c p1\n209.84 223.88 2.70 c
p1\n144.66 150.36 2.70 c p1\n190.04 197.73 2.70 c p1\n349.65 321.82
2.70 c p1\n276.52 281.81 2.70 c p1\n280.10 284.16 2.70 c p1\n133.71
141.35 2.70 c p1\n162.46 166.31 2.70 c p1\n206.48 219.71 2.70 c
p1\n213.69 228.79 2.70 c p1\n224.45 242.82 2.70 c p1\n191.73 199.74
2.70 c p1\n250.24 267.22 2.70 c p1\n189.35 197.41 2.70 c p1\n334.40
312.68 2.70 c p1\n236.31 257.85 2.70 c p1\n244.07 262.68 2.70 c
p1\n296.98 294.47 2.70 c p1\n260.96 273.32 2.70 c p1\n177.77 182.87
2.70 c p1\n228.87 248.07 2.70 c p1\n285.43 287.25 2.70 c p1\n292.53
291.24 2.70 c p1\n175.87 180.91 2.70 c p1\n342.92 314.99 2.70 c
p1\n220.58 238.62 2.70 c p1\n275.04 280.25 2.70 c p1\n350.89 323.71
2.70 c p1\n201.02 210.62 2.70 c p1\n384.34 367.61 2.70 c p1\n219.78
237.54 2.70 c p1\n301.26 296.89 2.70 c p1\n194.93 203.74 2.70 c
p1\n232.05 251.50 2.70 c p1\n240.89 261.26 2.70 c p1\n310.85 301.35
2.70 c p1\n289.17 289.17 2.70 c p1\n179.58 184.33 2.70 c p1\n371.61
349.39 2.70 c p1\n329.97 311.23 2.70 c p1\n228.51 247.73 2.70 c
p1\n200.75 209.58 2.70 c p1\n225.39 244.10 2.70 c p1\n257.87 271.34
2.70 c p1\n279.95 284.13 2.70 c p1\n363.10 337.24 2.70 c p1\n347.29
319.42 2.70 c p1\n258.76 271.69 2.70 c p1\n297.48 295.00 2.70 c
p1\n252.81 268.78 2.70 c p1\n323.24 308.11 2.70 c p1\n241.05 261.31
2.70 c p1\n226.51 245.28 2.70 c p1\n203.95 217.33 2.70 c p1\n215.85
231.84 2.70 c p1\n189.70 197.65 2.70 c p1\n356.26 326.49 2.70 c
p1\n311.44 301.51 2.70 c p1\n233.78 253.84 2.70 c p1\n192.39 201.10
2.70 c p1\n269.74 277.73 2.70 c p1\n361.96 335.19 2.70 c p1\n249.48
267.02 2.70 c p1\n274.59 280.09 2.70 c p1\n216.49 232.19 2.70 c
p1\n291.24 290.40 2.70 c p1\n197.92 206.23 2.70 c p1\n278.90 283.52
2.70 c p1\n210.54 224.38 2.70 c p1\n253.86 269.16 2.70 c p1\n272.68
279.12 2.70 c p1\n299.01 295.49 2.70 c p1\n368.08 343.22 2.70 c
p1\n202.37 214.43 2.70 c p1\n284.81 287.11 2.70 c p1\n224.07 242.52
2.70 c p1\n242.33 261.61 2.70 c p1\n207.70 220.65 2.70 c p1\n231.36
250.76 2.70 c p1\n362.52 335.49 2.70 c p1\n293.34 291.49 2.70 c
p1\n231.71 251.35 2.70 c p1\n211.46 225.46 2.70 c p1\n230.83 250.67
2.70 c p1\n227.06 245.98 2.70 c p1\n301.61 297.05 2.70 c p1\n109.02
118.38 2.70 c p1\n364.88 338.82 2.70 c p1\n210.08 223.97 2.70 c
p1\n219.58 237.20 2.70 c p1\n227.97 247.43 2.70 c p1\n184.55 190.76
2.70 c p1\n213.03 227.53 2.70 c p1\n235.81 256.54 2.70 c p1\n179.13
184.33 2.70 c p1\n295.64 293.43 2.70 c p1\n222.15 239.99 2.70 c
p1\n225.02 243.61 2.70 c p1\n273.86 279.63 2.70 c p1\n212.81 226.63
2.70 c p1\n246.72 264.67 2.70 c p1\n235.47 256.17 2.70 c p1\n355.31
326.24 2.70 c p1\n241.37 261.40 2.70 c p1\n218.15 234.72 2.70 c
p1\n224.26 242.58 2.70 c p1\n290.44 290.00 2.70 c p1\n201.57 212.41
2.70 c p1\n184.16 190.41 2.70 c p1\n220.97 239.19 2.70 c p1\n309.88
301.06 2.70 c p1\n243.60 262.48 2.70 c p1\n199.07 207.51 2.70 c
p1\n341.22 314.21 2.70 c p1\n323.95 308.48 2.70 c p1\n262.58 274.08
2.70 c p1\n249.94 267.10 2.70 c p1\n233.61 253.73 2.70 c p1\n202.64
214.55 2.70 c p1\n320.03 306.84 2.70 c p1\n257.43 271.01 2.70 c
p1\n236.47 257.86 2.70 c p1\n430.02 407.96 2.70 c p1\n234.96 255.74
2.70 c p1\n197.34 205.28 2.70 c p1\n234.80 255.66 2.70 c p1\n228.70
248.01 2.70 c p1\n250.70 267.58 2.70 c p1\n337.07 313.20 2.70 c
p1\n380.12 359.86 2.70 c p1\n208.67 221.97 2.70 c p1\n363.68 337.64
2.70 c p1\n185.71 193.54 2.70 c p1\n238.13 259.53 2.70 c p1\n229.95
250.11 2.70 c p1\n217.53 234.29 2.70 c p1\n172.30 179.02 2.70 c
p1\n375.58 355.66 2.70 c p1\n346.15 317.71 2.70 c p1\n265.80 275.76
2.70 c p1\n294.98 292.53 2.70 c p1\n358.23 327.95 2.70 c p1\n393.65
380.28 2.70 c p1\n247.03 264.92 2.70 c p1\n298.84 295.45 2.70 c
p1\n183.77 190.41 2.70 c p1\n307.41 299.96 2.70 c p1\n216.91 233.53
2.70 c p1\n198.50 206.62 2.70 c p1\n313.85 302.79 2.70 c p1\n280.56
284.44 2.70 c p1\n366.12 340.75 2.70 c p1\n157.04 161.95 2.70 c
p1\n325.89 309.11 2.70 c p1\n310.46 301.21 2.70 c p1\n256.84 270.85
2.70 c p1\n212.14 226.41 2.70 c p1\n198.79 207.04 2.70 c p1\n188.65
196.09 2.70 c p1\n201.30 212.26 2.70 c p1\n243.44 262.36 2.70 c
p1\n233.09 253.09 2.70 c p1\n386.70 373.64 2.70 c p1\n211.69 225.49
2.70 c p1\n273.41 279.41 2.70 c p1\n350.06 321.83 2.70 c p1\n180.45
186.15 2.70 c p1\n356.74 326.71 2.70 c p1\n102.59 112.65 2.70 c
p1\n182.55 188.91 2.70 c p1\n233.95 253.86 2.70 c p1\n186.46 193.78
2.70 c p1\n221.76 239.47 2.70 c p1\n165.85 169.71 2.70 c p1\n389.27
378.26 2.70 c p1\n408.17 397.78 2.70 c p1\n218.56 235.14 2.70 c
p1\n228.15 247.45 2.70 c p1\n248.26 266.22 2.70 c p1\n439.39 430.83
2.70 c p1\n213.47 228.20 2.70 c p1\n262.14 273.97 2.70 c p1\n345.41
317.19 2.70 c p1\n251.30 267.87 2.70 c p1\n129.51 140.65 2.70 c
p1\n270.77 278.46 2.70 c p1\n295.14 292.53 2.70 c p1\n203.17 216.42
2.70 c p1\n340.56 313.98 2.70 c p1\n208.43 221.92 2.70 c p1\n236.64
258.04 2.70 c p1\n318.48 306.02 2.70 c p1\n205.48 219.19 2.70 c
p1\n219.38 236.59 2.70 c p1\n171.76 178.64 2.70 c p1\n348.85 321.05
2.70 c p1\n355.78 326.32 2.70 c p1\n221.57 239.42 2.70 c p1\n251.15
267.85 2.70 c p1\n289.49 289.26 2.70 c p1\n236.14 257.44 2.70 c
p1\n165.20 169.39 2.70 c p1\n397.03 383.39 2.70 c p1\n353.93 325.69
2.70 c p1\n141.96 149.21 2.70 c p1\n303.92 298.05 2.70 c p1\n236.97
258.89 2.70 c p1\n288.54 289.02 2.70 c p1\n252.36 268.67 2.70 c
p1\n298.50 295.37 2.70 c p1\n195.85 203.99 2.70 c p1\n302.49 297.44
2.70 c p1\n387.96 374.23 2.70 c p1\n213.91 229.07 2.70 c p1\n232.40
252.22 2.70 c p1\n268.28 277.11 2.70 c p1\n377.31 359.03 2.70 c
p1\n285.89 287.83 2.70 c p1\n231.53 251.13 2.70 c p1\n183.37 190.07
2.70 c p1\n189.00 196.83 2.70 c p1\n184.94 192.66 2.70 c p1\n192.71
201.44 2.70 c p1\n261.40 273.56 2.70 c p1\n174.38 180.70 2.70 c
p1\n195.24 203.81 2.70 c p1\n219.17 236.53 2.70 c p1\n221.37 239.27
2.70 c p1\n365.50 338.95 2.70 c p1\n187.57 195.80 2.70 c p1\n190.38
198.35 2.70 c p1\n282.98 286.41 2.70 c p1\n199.36 208.50 2.70 c
p1\n405.51 397.30 2.70 c p1\n275.93 281.08 2.70 c p1\n238.95 259.76
2.70 c p1\n140.50 148.28 2.70 c p1\n187.93 195.80 2.70 c p1\n214.78
230.81 2.70 c p1\n366.76 341.04 2.70 c p1\n159.48 163.04 2.70 c
p1\n310.07 301.11 2.70 c p1\n223.12 241.41 2.70 c p1\n272.09 278.96
2.70 c p1\n414.61 400.47 2.70 c p1\n271.65 278.77 2.70 c p1\n266.09
275.95 2.70 c p1\n173.87 180.57 2.70 c p1\n245.48 263.52 2.70 c
p1\n269.01 277.52 2.70 c p1\n235.97 257.21 2.70 c p1\n245.01 263.47
2.70 c p1\n218.77 235.38 2.70 c p1\n214.35 229.78 2.70 c p1\n237.47
259.42 2.70 c p1\n226.14 245.01 2.70 c p1\n169.52 176.63 2.70 c
p1\n196.75 204.80 2.70 c p1\n242.65 261.86 2.70 c p1\n353.04 325.41
2.70 c p1\n354.38 326.02 2.70 c p1\n212.59 226.62 2.70 c p1\n283.44
286.70 2.70 c p1\n232.92 252.89 2.70 c p1\n192.06 200.89 2.70 c
p1\n220.38 238.58 2.70 c p1\n211.91 225.52 2.70 c p1\n170.09 176.91
2.70 c p1\n265.21 275.43 2.70 c p1\n262.72 274.17 2.70 c p1\n225.77
244.67 2.70 c p1\n227.79 247.06 2.70 c p1\n262.28 274.03 2.70 c
p1\n137.32 143.65 2.70 c p1\n339.26 313.60 2.70 c p1\n145.92 153.09
2.70 c p1\n223.50 241.98 2.70 c p1\n312.04 302.00 2.70 c p1\n359.78
333.43 2.70 c p1\n272.39 279.10 2.70 c p1\n300.91 296.67 2.70 c
p1\n210.31 224.04 2.70 c p1\n215.21 231.25 2.70 c p1\n358.74 331.36
2.70 c p1\n229.23 249.03 2.70 c p1\n176.36 180.99 2.70 c p1\n382.15
362.90 2.70 c p1\n332.42 312.17 2.70 c p1\n268.43 277.25 2.70 c
p1\n272.24 279.00 2.70 c p1\n161.74 164.80 2.70 c p1\n287.76 288.64
2.70 c p1\n378.22 359.38 2.70 c p1\n208.90 222.13 2.70 c p1\n164.54
167.51 2.70 c p1\n215.00 231.00 2.70 c p1\n228.33 247.63 2.70 c
p1\n207.46 220.53 2.70 c p1\n163.17 166.85 2.70 c p1\n214.13 229.61
2.70 c p1\n156.18 161.78 2.70 c p1\n212.36 226.57 2.70 c p1\n309.11
300.63 2.70 c p1\n385.49 372.18 2.70 c p1\n185.33 192.72 2.70 c
p1\n379.16 359.69 2.70 c p1\n190.72 198.54 2.70 c p1\n222.73 240.57
2.70 c p1\n361.40 333.91 2.70 c p1\n178.68 183.71 2.70 c p1\n302.31
297.37 2.70 c p1\n234.29 254.40 2.70 c p1\n217.12 233.73 2.70 c
p1\n351.31 323.74 2.70 c p1\n157.87 162.06 2.70 c p1\n357.73 327.74
2.70 c p1\n287.14 288.45 2.70 c p1\n342.57 314.62 2.70 c p1\n196.15
204.31 2.70 c p1\n227.61 247.05 2.70 c p1\n231.01 250.67 2.70 c
p1\n308.73 300.51 2.70 c p1\n242.01 261.48 2.70 c p1\n259.49 271.99
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p1\n438.98 323.53 2.70 c p1\n439.94 323.68 2.70 c p1\n440.91 324.12
2.70 c p1\n441.87 324.27 2.70 c p1\n442.83 325.05 2.70 c p1\n443.79
326.09 2.70 c p1\n444.75 327.70 2.70 c p1\n445.72 328.18 2.70 c
p1\n446.68 328.40 2.70 c p1\n447.64 329.42 2.70 c p1\n448.60 329.79
2.70 c p1\n449.56 330.19 2.70 c p1\n450.53 330.28 2.70 c p1\n451.49
330.76 2.70 c p1\n452.45 330.77 2.70 c p1\n453.41 330.83 2.70 c
p1\n454.37 332.69 2.70 c p1\n455.33 332.81 2.70 c p1\n456.30 332.84
2.70 c p1\n457.26 332.96 2.70 c p1\n458.22 431.02 2.70 c p1\n0.00 0.00
503.81 503.81 cl\n0.0000 0.0000 0.0000 rgb\n0.75 setlinewidth\n[] 0
setdash\nnp\n73.43 73.44 m\n458.22 73.44 l\no\nnp\n73.43 73.44 m\n73.43
66.24 l\no\nnp\n169.63 73.44 m\n169.63 66.24 l\no\nnp\n265.83 73.44
m\n265.83 66.24 l\no\nnp\n362.02 73.44 m\n362.02 66.24 l\no\nnp\n458.22
73.44 m\n458.22 66.24 l\no\n/ps 12 def R 12 s\n73.43 47.52 (0) 0.50
0.00 0.00 t\n169.63 47.52 (100) 0.50 0.00 0.00 t\n265.83 47.52 (200)
0.50 0.00 0.00 t\n362.02 47.52 (300) 0.50 0.00 0.00 t\n458.22 47.52
(400) 0.50 0.00 0.00 t\nnp\n59.04 86.67 m\n59.04 375.28 l\no\nnp\n59.04
86.67 m\n51.84 86.67 l\no\nnp\n59.04 158.82 m\n51.84 158.82
l\no\nnp\n59.04 230.98 m\n51.84 230.98 l\no\nnp\n59.04 303.13 m\n51.84
303.13 l\no\nnp\n59.04 375.28 m\n51.84 375.28 l\no\n41.76 86.67 (0.5)
0.50 0.00 90.00 t\n41.76 158.82 (0.6) 0.50 0.00 90.00 t\n41.76 230.98
(0.7) 0.50 0.00 90.00 t\n41.76 303.13 (0.8) 0.50 0.00 90.00 t\n41.76
375.28 (0.9) 0.50 0.00 90.00 t\nnp\n59.04 73.44 m\n473.57 73.44
l\n473.57 444.77 l\n59.04 444.77 l\n59.04 73.44 l\no\n0.00 0.00 503.81
503.81 cl\n/ps 12 def R 12 s\n0.0000 0.0000 0.0000 rgb\n266.31 18.72
(Index) 0.50 0.00 0.00 t\n12.96 259.11 (sort\\(beta\\)) 0.50 0.00 90.00
t\nep\n%%Trailer\n%%Pages: 1\n%%EOF\ngrestore\n\n>|ps>||||||>X11\
\ \ 2\
\;
</output>
<input|<\with|color|red>
<with|mode|math|\<succ\>><with|color|black|>
</with> |<\var_expand|math>
length(\<alpha\>)
</var_expand>>
<\output>
[1] 1000
\;
</output>
<input|<\with|color|red>
<with|mode|math|\<succ\>><with|color|black|>
</with> |<\var_expand|math>
\;
</var_expand>>
</session>
\;
</body>
<\initial>
<\collection>
<associate|paragraph width|150mm>
<associate|odd page margin|30mm>
<associate|shrinking factor|7>
<associate|page right margin|30mm>
<associate|page top margin|30mm>
<associate|reduction page right margin|25mm>
<associate|page type|a4>
<associate|reduction page bottom margin|15mm>
<associate|even page margin|30mm>
<associate|reduction page left margin|25mm>
<associate|page bottom margin|30mm>
<associate|reduction page top margin|15mm>
<associate|language|english>
</collection>
</initial>
rprint
Description: Perl program
Rcas
Description: Perl program
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