ex_generation-0.0/0000775000175000017500000000000014654475517011225 500000000000000ex_generation-0.0/COPYING0000644000175000017500000010451514652752002012165 00000000000000 GNU GENERAL PUBLIC LICENSE Version 3, 29 June 2007 Copyright (C) 2007 Free Software Foundation, Inc. Everyone is permitted to copy and distribute verbatim copies of this license document, but changing it is not allowed. Preamble The GNU General Public License is a free, copyleft license for software and other kinds of works. The licenses for most software and other practical works are designed to take away your freedom to share and change the works. By contrast, the GNU General Public License is intended to guarantee your freedom to share and change all versions of a program--to make sure it remains free software for all its users. We, the Free Software Foundation, use the GNU General Public License for most of our software; it applies also to any other work released this way by its authors. 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The hypothetical commands `show w' and `show c' should show the appropriate parts of the General Public License. Of course, your program's commands might be different; for a GUI interface, you would use an "about box". You should also get your employer (if you work as a programmer) or school, if any, to sign a "copyright disclaimer" for the program, if necessary. For more information on this, and how to apply and follow the GNU GPL, see . The GNU General Public License does not permit incorporating your program into proprietary programs. If your program is a subroutine library, you may consider it more useful to permit linking proprietary applications with the library. If this is what you want to do, use the GNU Lesser General Public License instead of this License. But first, please read . ex_generation-0.0/README.md0000664000175000017500000000254414652771641012424 00000000000000# Description This package contains several Bourne shell scripts that invoke sage with various inline sage scripts. So, it is assumed that the freely available sagemath is installed. The purpose of the scripts is to provide constructions for classical parameter balanced generalized weighing matrices, generalized simplex codes, etc. # Installation To install the scripts run 1. mkdir build && cd build 2. ../configure 3. sudo make install Running configure from inside the build directory will generate the scripts and place them build/src with executable privileges. Running sudo make install copies the scripts to /usr/bin. You can override this default behaviour by running ../configure --prefix=dir instead of simply ../configure. Then the executables will be copied to dir instead. If you do not want the executables installed, simply omit sudo make install. If you clone the repository, you will first need to run autoreconf -i. # Documentaion Man pages are provided in the docs directory. They are installed to $(MATHPATH) in section upon running sudo make install. Otherwise, they can be read by running man docs/sript.man, where sript is replaced by the sript for which you want to read the help page. ex_generation-0.0/docs/0000775000175000017500000000000014654475517012155 500000000000000ex_generation-0.0/docs/bal_split_hadamard.man0000664000175000017500000000141614652765706016366 00000000000000.TH BAL_SPLIT_HADAMARD 1 .SH NAME bal_split_hadamard \- construct a balanced splittable Hadamard matrix given a seed Hadamard matrix. .SH SYNOPSIS .B bal_split_hadamard \-i \fIfile1\fB \-o \fIfile2\fR .SH DESCRIPTION .B bal_split_hadamard constructs a balanced splittable Hadamard matrix of order 4N^2 given an input Hadamard matrix of order N. .SH OPTIONS .TP .BR \-i " " \fIfile\fR Takes input file as argument. The input file \fIfile\fR contains a Hadamard matrix. .TP .BR \-o " " \fIfile\fR Takes ouput file as argument. The balanced splittable Hadamard matrix is output to \fIfile\fR. .TP .BR \-h Displays current help page. .HP Each of the options \fB\-i\fR and \fB\-o\fR are mandatory. .SH EXIT STATUS Return 0 on success, 1 otherwise. .SH AUTHOR Thomas Pender (tsp7@sfu.ca) ex_generation-0.0/docs/pseudogeometric.man0000664000175000017500000000150514652767304015765 00000000000000.TH PSUEDOGEOMETRIC 1 .SH NAME psuedogeometric \- tests whether a given SRG parameter set are those of a pseudogeometric SRG. .SH SYNOPSIS .B psuedogeometric [numerical parameters] .SH DESCRIPTION .B psuedogeometric tests whether the given parameter set are those of a pseudogeometric graph. .SH PARAMETERS .TP .BR v Number of vertices of graph. .TP .BR k Valency of the graph. .TP .BR n Number of common neighbours for any pair of adjacent vertices. .TP .BR m Number of common neighbours for any pair of nonadjacent vertices. .SH EXAMPLE .TP .BR pseudogeometric " " v " " k " " n " " m The ordering of the parameters is necessary. .SH BUGS It is well known that the \fIsage\fR solver is buggy. As such, the results should always be verified. .SH .SH EXIT STATUS Return 0 on success, 1 otherwise. .SH AUTHOR Thomas Pender (tsp7@sfu.ca) ex_generation-0.0/docs/bgw.man0000664000175000017500000000564714652765732013364 00000000000000.TH BGW 1 .SH NAME bgw \- construct classical parameter BGW matrices .SH SYNOPSIS .B bgw [options] [numerical parameters] .SH DESCRIPTION .B bgw constructs classical parameter matrices. .SH OPTIONS .TP .BR \-a Invokes Hadi Kharaghani's OA construction. Required additional options are \fB\-o\fR and \fB\-i\fR. The option \fB\-i\fR must contain a classical parameter BGW. Requires numerical parameters \fBq\fR a prime power and \fBd\fR an integer exponent greater than 1 in that order. \fIExample\fR: bgw -ai \fIfile1\fR -o \fIfile2\fR q d .TP .BR \-c Constructs classical parameter BGW. Requires option \fB\-o\fR with argument the output file. Requires numerical parameters \fBq\fR a prime power and \fBd\fR an integer exponent greater than 1 in that order. Can be used in conjuction with \fB\-w\fR whenever \fBq\fR is odd to map nonzero matrix entries to +1 or -1. Can be used in conjuction with \fB\-g\fR which substitutes circulant matrix group for entries of BGW. \fIExample\fR: bgw -co \fIfile\fR q d .TP .BR \-C Constructs a generalized conference matrix. It is skew\-symmetric if \Bfq\fR is odd, and it is symmetric if \fBq\fR is even. Requires option \fB\-o\fR with argument the output file. Requires numerical parameters \fBq\fR a prime power and \fBd\fR an integer exponent greater than 1 in that order. Can be used in conjuction with \fB\-w\fR whenever \fBq\fR is odd to map nonzero matrix entries to +1 or -1. Can be used in conjuction with \fB\-g\fR which substitutes circulant matrix group for entries of BGW. \fIExample\fR: bgw -Co \fIfile\fR q d .TP .BR \-g " " \fIorder\fR \fIorder\fR is the order of the matrix group. Used in conjuction with \fB\-c\fR or \fB\-C\fR in order to substitute circulant matrix group for entries of BGW matrix. Requires the option \fB\-i\fR which takes as input file the matrix group. \fIExample\fR: bgw -cg \fIorder\fR -i \fIfile1\fR -o \fIfile2\fR q d .TP .BR \-h Displays current help page. .TP .BR \-H Constructs classical parameter GH matrices. Requires option \fB\-o\fR with argument the output file. Requires numerical parameters \fBq\fR a prime power and \fBd\fR an integer exponent greater than 1 in that order. Can be used in conjunction with \fB\-p\fR to substitute permutation matrices for entries of GH matrix. \fIExample\fR: bgw -Ho \fIfile\fR q d .TP .BR \-i " " \fIfile\fR Takes input file as argument. Used with options \fB\-a\fR and \fB\-g\fR. .TP .BR \-p Constructs classical parameter GH matrix whose entries are represented by permutation matrices. \fIExample\fR: bgw -Hpo \fIfile\fR q d. .TP .BR \-o " " \fIfile\fR Accepts the file to store the output. Used with every instance of \fIbgw\fR. .TP .BR \-w Used in conjuction with \fB\-c\fR or \fB\-C\fR whenever \fBq\fR is odd. +1 and -1 are substituted for nonzero entries of the BGW matrix. .SH PARAMETERS .TP .BR q A prime power. .TP .BR d An integer exponent greater than 1. .SH EXIT STATUS Return 0 on success, 1 otherwise. .SH AUTHOR Thomas Pender (tsp7@sfu.ca) ex_generation-0.0/docs/hadi_generalized_quadrangle.man0000664000175000017500000000116014652765676020257 00000000000000.TH HADI_GENERALIZED_QUADRANGLE 1 .SH NAME hadi_generalized_quadrangle \- Constructs generalized quadrangles. .SH SYNOPSIS .B hadi_generalized_quadrangle [options] [numerical parameter] .SH DESCRIPTION Employs Hadi Kharaghani's construction of a generalized quadrangle given a prime power \fBq\fR. .SH OPTIONS .TP .BR \-o " " \fIfile\fR Takes output file as argument. The construct generalized quadrangle will be output to the given file \fIfile\fR. .HP The option \fB\-o\fR is mandatory. .SH PARAMETERS .TP .BR q An odd prime power. .SH EXIT STATUS Return 0 on success, 1 otherwise. .SH AUTHOR Thomas Pender (tsp7@sfu.ca) ex_generation-0.0/docs/circ.man0000664000175000017500000000240114652765746013513 00000000000000.TH CIRC 1 .SH NAME circ \- constructs (nega)circulant and block (nega)circulant matrix group generator. .SH SYNOPSIS .B circ [options] [numerical parameters] .SH DESCRIPTION .B circ constructs (nega)circulant and block (nega)circulant matrix group generator and outputs the result to a provided file. .SH OPTIONS .TP .BR \-c Constructs circulant matrix generator of dimension \fBd\fR. Requires option \fB\-o\fR. \fIExample\fR: circ d -co \fIfile\fR .TP .BR \-C Constructs block circulant matrix generator of block dimension \fBd\fR. Requires options \fB\-o\fR and \fB\-i\fR. The (0,1) entry is provided as an argument to the option \fB\-i\fR. \fIExample\fR: circ d -Co \fIfile1\fR -i \fIfile2\fR .TP .BR \-h Displays current help page. .TP .BR \-n Constructs negacirculant matrix generator of dimension \fBd\fR. Requires option \fB\-o\fR. \fIExample\fR: circ d -no \fIfile\fR .TP .BR \-N Constructs block negacirculant matrix generator of block dimension \fBd\fR. Requires options \fB\-o\fR and \fB\-i\fR. The (0,1) entry is provided as an argument to the option \fB\-i\fR. \fIExample\fR: circ d -No \fIfile1\fR -i \fIfile2\fR .SH PARAMETERS .TP .bR d Dimension of (block) matrix generator. .SH EXIT STATUS Return 0 on success, 1 otherwise. .SH AUTHOR Thomas Pender (tsp7@sfu.ca) ex_generation-0.0/docs/simplex.man0000664000175000017500000000115114652765741014250 00000000000000.TH SIMPLEX 1 .SH NAME simplex \- construct generalized simplex code. .SH SYNOPSIS .B simplex [options] [numerical parameters] .SH DESCRIPTION .B simplex constructs the generalized simplex code and outputs to provided file. .SH OPTIONS .BR \-o " " \fIfile\fR Takes the output file as an argument. \fIExample\fR: simplex -o \fIfile\fR q d .HP The additional parameters are a prime power \fBq\fR and an integer exponent \fBd\fR greater than 1. .SH PARAMETERS .TP .BR q A prime power. .TP .BR d An integer exponent greater than 1. .SH EXIT STATUS Return 0 on success, 1 otherwise. .SH AUTHOR Thomas Pender (tsp7@sfu.ca) ex_generation-0.0/docs/bal_split_od.man0000664000175000017500000000157614652765721015233 00000000000000.TH BAL_SPLIT_OD 1 .SH NAME bal_split_od \- construct a balanced splittable orthogonal design given a seed orthogonal design. .SH SYNOPSIS .B bal_split_od \-i \fIfile1\fB \-o \fIfile2\fR .SH DESCRIPTION .B bal_split_od constructs a balanced splittable orthogonal design of order 4N^2 given an input orthogonal design of order N. .SH OPTIONS .TP .BR \-i " " \fIfile\fR Takes input file as argument. The input file \fIfile\fR contains an orthogonal design. The first line of the input file must be a whitespace separated list of the distinct variable entries of the input matrix. .TP .BR \-o " " \fIfile\fR Takes ouput file as argument. 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Copying and distribution of this file, with or without modification, are permitted in any medium without royalty provided the copyright notice and this notice are preserved. This file is offered as-is, without warranty of any kind. Basic Installation ================== Briefly, the shell command './configure && make && make install' should configure, build, and install this package. The following more-detailed instructions are generic; see the 'README' file for instructions specific to this package. Some packages provide this 'INSTALL' file but do not implement all of the features documented below. The lack of an optional feature in a given package is not necessarily a bug. More recommendations for GNU packages can be found in *note Makefile Conventions: (standards)Makefile Conventions. The 'configure' shell script attempts to guess correct values for various system-dependent variables used during compilation. 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If you are using the cache, and at some point 'config.cache' contains results you don't want to keep, you may remove or edit it. The file 'configure.ac' (or 'configure.in') is used to create 'configure' by a program called 'autoconf'. You need 'configure.ac' if you want to change it or regenerate 'configure' using a newer version of 'autoconf'. The simplest way to compile this package is: 1. 'cd' to the directory containing the package's source code and type './configure' to configure the package for your system. Running 'configure' might take a while. While running, it prints some messages telling which features it is checking for. 2. Type 'make' to compile the package. 3. Optionally, type 'make check' to run any self-tests that come with the package, generally using the just-built uninstalled binaries. 4. Type 'make install' to install the programs and any data files and documentation. When installing into a prefix owned by root, it is recommended that the package be configured and built as a regular user, and only the 'make install' phase executed with root privileges. 5. Optionally, type 'make installcheck' to repeat any self-tests, but this time using the binaries in their final installed location. This target does not install anything. Running this target as a regular user, particularly if the prior 'make install' required root privileges, verifies that the installation completed correctly. 6. You can remove the program binaries and object files from the source code directory by typing 'make clean'. To also remove the files that 'configure' created (so you can compile the package for a different kind of computer), type 'make distclean'. There is also a 'make maintainer-clean' target, but that is intended mainly for the package's developers. 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On MacOS X 10.5 and later systems, you can create libraries and executables that work on multiple system types--known as "fat" or "universal" binaries--by specifying multiple '-arch' options to the compiler but only a single '-arch' option to the preprocessor. Like this: ./configure CC="gcc -arch i386 -arch x86_64 -arch ppc -arch ppc64" \ CXX="g++ -arch i386 -arch x86_64 -arch ppc -arch ppc64" \ CPP="gcc -E" CXXCPP="g++ -E" This is not guaranteed to produce working output in all cases, you may have to build one architecture at a time and combine the results using the 'lipo' tool if you have problems. Installation Names ================== By default, 'make install' installs the package's commands under '/usr/local/bin', include files under '/usr/local/include', etc. You can specify an installation prefix other than '/usr/local' by giving 'configure' the option '--prefix=PREFIX', where PREFIX must be an absolute file name. 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'--help=short' '--help=recursive' Print a summary of the options unique to this package's 'configure', and exit. The 'short' variant lists options used only in the top level, while the 'recursive' variant lists options also present in any nested packages. '--version' '-V' Print the version of Autoconf used to generate the 'configure' script, and exit. '--cache-file=FILE' Enable the cache: use and save the results of the tests in FILE, traditionally 'config.cache'. FILE defaults to '/dev/null' to disable caching. '--config-cache' '-C' Alias for '--cache-file=config.cache'. '--quiet' '--silent' '-q' Do not print messages saying which checks are being made. To suppress all normal output, redirect it to '/dev/null' (any error messages will still be shown). '--srcdir=DIR' Look for the package's source code in directory DIR. Usually 'configure' can determine that directory automatically. '--prefix=DIR' Use DIR as the installation prefix. *note Installation Names:: for more details, including other options available for fine-tuning the installation locations. '--no-create' '-n' Run the configure checks, but stop before creating any output files. 'configure' also accepts some other, not widely useful, options. Run 'configure --help' for more details. ex_generation-0.0/src/0000775000175000017500000000000014654475517012014 500000000000000ex_generation-0.0/src/hadi_generalized_quadrangle.in0000664000175000017500000000156614652764514017751 00000000000000#!/bin/sh ERR="ERROR:" if [ $# -eq 0 ]; then echo "${ERR} Requires prime power parameter." ; exit 1 ; fi eval set -- $(getopt -o o: -- "$@") while [ -n "$1" ]; do case "$1" in -o) outfile="$2" ; shift ;; -h) man $(basename $0); exit 0;; --) shift ; break ;; *) echo -e "${ERR} Invalid options." ; exit 1 ;; esac shift done if [ -z "$outfile" ]; then echo -e "${ERR} Requires output file." ; exit 1 ; fi sage -q 1> /dev/null << EOF load('../funcs.sage') q=$1 W=reduce(skew_conf(q**2),q+1) C=matrix(q+1,q+1,lambda i,j: 1 if i!=j else 0) r=matrix(q+1,q+1,lambda i,j: 1 if (i+j)%(q+1)==q else 0) g=matrix.circulant([0,1]+[0]*(q-1)) G=[C]+[(g**i)*r for i in range(1,q+2)] X=block_matrix([[(lambda j: G[W[i,j]])(j) for j in range(q**2+1)] for i in range(q**2+1)]) f=open('$outfile','w') for i in range(X.nrows()): f.write(' '.join(str(x) for x in X.row(i))+'\n') f.close() quit EOF ex_generation-0.0/src/bal_split_hadamard.in0000664000175000017500000000262514652763704016057 00000000000000#!/bin/sh ERR="ERROR:" if [ $# -eq 0 ]; then echo -e "${ERR} Requires parameters." ; exit 1 ; fi eval set -- $(getopt -o o:i: -- "$@") while [ -n "$1" ]; do case "$1" in -o) outfile="$2" ; shift ;; -i) infile="$2" ; shift ;; -h) man $(basename $0); exit 0 ;; --) shift ; break ;; *) echo -e "${ERR} Invalid options." ; exit 1 ;; esac shift done if [ -z "$outfile" -o -z "$infile" ]; then echo -e "${ERR} Requires files."; exit 1; fi sage -q 1> /dev/null << EOF load('../funcs.sage') f=open('$infile','r') H=normalize_wmat(matrix(rmspace([[int(x) for x in y.split()] for y in f.read().split('\n')]))) h=[matrix(H.row(i)) for i in range(H.nrows())] K=matrix(2,2,[1,1,1,-1]).tensor_product(H) k=[matrix(K.row(i)) for i in range(K.nrows())] C=[x.transpose()*x for x in h] F=block_matrix([[x.transpose()*h[0] for x in k[1:]]]) G=ones_matrix(K.nrows()) E=F.transpose() n=H.nrows() m=2*n-1 A=[C[0]]+C[1:]+C[m-1:0:-1] B=[C[0]]+C[1:]+[-x for x in C[m-1:0:-1]] A=[A]+[[0]*m for i in range(m-1)] B=[B]+[[0]*m for i in range(m-1)] for i in range(1,m): for j in range(m): if j: A[i][j]=A[i-1][j-1] B[i][j]=B[i-1][j-1] else: A[i][j]=A[i-1][m-1] B[i][j]=B[i-1][m-1] A=block_matrix(A) B=block_matrix(B) X=block_matrix([[G,F,-F],[E,A,B],[-E,B,A]]) f=open('$outfile','w') for i in range(X.nrows()): f.write(''.join('%3d' % x for x in X.row(i))+'\n') f.close() quit EOF ex_generation-0.0/src/simplex.in0000664000175000017500000000125314652763770013745 00000000000000#!/bin/sh ERR="ERROR:" helper="Use simplex for help." if [ $# -eq 0 ]; then echo -e "${ERR} Expected parameters. ${helper}" ; exit 1 ; fi eval set -- $(getopt -o ho: -- "$@") while [ -n "$1" ]; do case "$1" in -h) man $(basename $0); exit 0 ;; -o) outfile="$2" ; shift ;; --) shift ; break ;; *) echo ***Error: Incorrect parameters. ; echo "$helper" ; exit 1 ;; esac shift done if [ $# -lt 2 ]; then echo -e "${ERR} Expects 2 parameters. ${helper}" ; exit 1 ; fi file=@abs_top_srcdir@/src/funcs.sage sage -q 1> /dev/null << EOF load('$file') S=simplex(int($1),int($2)) f=open('$outfile','w') for line in S: f.write(' '.join([str(x) for x in line])+'\n') f.close() quit EOF ex_generation-0.0/src/bal_split_od.in0000664000175000017500000000322614652764422014714 00000000000000#!/bin/sh ERR="ERROR:" if [ $# -eq 0 ]; then echo -e "${ERR} Requires parameters." ; exit 1 ; fi eval set -- $(getopt -o o:i: -- "$@") while [ -n "$1" ]; do case "$1" in -o) outfile="$2" ; shift ;; -i) infile="$2" ; shift ;; -h) man $(basename $0); exit 0;; --) shift ; break ;; *) echo -e "${ERR} Invalid options." ; exit 1 ;; esac shift done if [ -z "$outfile" -o -z "$infile" ]; then echo -e "${ERR} Requires files."; exit 1; fi sage -q 1> /dev/null << EOF load('../funcs.sage') f=open('$infile','r') _a=rmspace(f.read().split('\n')[:-1]) v=var(_a[0]) H=matrix(SR,[[x for x in y.split()] for y in _a[1:]]) h=[matrix(H.row(i)) for i in range(H.nrows())] hh=[matrix([[(lambda x: 1 if x in v else -1)(x) for x in y.row(0)]]) for y in h] K=matrix(2,2,[1,1,1,-1]).tensor_product(H) k=[matrix(K.row(i)) for i in range(K.nrows())] kk=[matrix([[(lambda x: 1 if x in v else -1)(x) for x in y.row(0)]]) for y in k] C=[x.transpose()*y for x,y in zip(hh,h)] n=H.nrows() m=2*n-1 A=[C[0]]+C[1:]+C[:0:-1] B=[C[0]]+C[1:]+[-x for x in C[:0:-1]] A=[A]+[[0]*m for i in range(m-1)] B=[B]+[[0]*m for i in range(m-1)] for i in range(1,m): for j in range(m): if j: A[i][j]=A[i-1][j-1] B[i][j]=B[i-1][j-1] else: A[i][j]=A[i-1][m-1] B[i][j]=B[i-1][m-1] A=block_matrix(A) B=block_matrix(B) G=kk[0].transpose()*k[0] E=block_matrix([[hh[0].transpose()*x] for x in k[1:]]) F=block_matrix([[x.transpose()*h[0] for x in kk[1:]]]) X=block_matrix([[G,F,-F],[E,A,B],[-E,B,A]]) f=open('$outfile','w') f.write(' '.join(str(x) for x in v)+'\n') for i in range(X.nrows()): f.write(''.join('%3s' % x for x in X.row(i))+'\n') f.close() quit EOF ex_generation-0.0/src/pseudogeometric.in0000664000175000017500000000155214652767472015467 00000000000000#!/bin/sh ERR="ERROR:" if [ $# -eq 0 ]; then echo -e "${ERR} Requries parameters of SRG." ; exit 1 ; fi eval set -- $(getopt -o h -- "$@") while [ -n $1 ]; do case "$1" in -h) man $(basename $0); exit 0 ;; --) shift ; break ;; *) echo -e "${ERR} Invalid options." ; exit 1 ;; esac shift done sage -q 1> /dev/null << EOF import sys var(' s t a ') vertices=((s+1)*(s*t+a)/a)-$1 degree=s*(t+1)-$2 lam=s-1+t*(a-1)-$3 mu=a*(t+1)-$4 D=solve((vertices,degree,lam,mu),(s,t,a),solution_dict=True) flag=True for d in D: _check=True for x in d.values(): if x<=0: _check=False break if _check: flag=False sys.stderr.write('\n***Pseudo-geomeric with parameters (s, t, a) = (%d, %d, %d)\n\n' % (d[s], d[t], d[a])) if flag: sys.stderr.write('\n***SRG is not geometric.\n\n') quit EOF ex_generation-0.0/src/circ.in0000664000175000017500000000533614654475275013214 00000000000000#!/bin/sh ERR="ERROR:" helper="Use sh $(basename $0) -h for help." if [ $# -eq 0 ]; then echo -e "${ERR} Expected options. ${helper}" ; exit 1 ; fi eval set -- $(getopt -o Cci:hNno: -- "$@") while [ -n $1 ]; do case "$1" in -C) kind="C" ;; -c) kind="c" ;; -i) infile="$2" ; shift ;; -h) man $(basename $0); exit 0 ;; -N) kind="N" ;; -n) kind="n" ;; -o) outfile="$2" ; shift ;; --) shift ; break ;; *) echo -e "${ERR} \e[1;32mInvalid options.\e[0m ${helper}" ; exit 1 ;; esac shift done if [ -z "$kind" ]; then echo -e "${ERR} Requires an option. ${helper}" ; exit 1 elif [ -z "$outfile" ]; then echo -e "${ERR} Requires output file. ${helper}" ; exit 1 elif [ $# -eq 0 ]; then echo -e "${ERR} Missing dimension of \(block\) generator. ${helper}" ; exit 1 elif [ "$kind" = "C" ] && [ -z "$infile" ]; then echo -e "${ERR} Input file required with -C. ${helper}" ; exit 1 elif [ "$kind" = "N" ] && [ -z "$infile" ]; then echo -e "${ERR} Input file required with -N. ${helper}" ; exit 1 ; fi file=@abs_top_srcdir@/src/funcs.sage case "$kind" in C) sage -q 1> /dev/null << EOF load('$file') f=open('$infile','r') g=matrix(rmspace([[int(x) for x in y.split()] for y in f.read().split('\n')])) indim=g.nrows(); outdim=int($1) G=[[zero_matrix(indim)]*outdim for i in range(outdim)]; G[0][1]=g for i in range(1,outdim): for j in range(outdim): if j==0: G[i][j]=G[i-1][outdim-1] else: G[i][j]=G[i-1][j-1] G=block_matrix(G) f=open('$outfile','w') for i in range(G.nrows()): f.write(''.join(['%2d' % x for x in G.row(i)])+'\n') f.close() quit EOF ;; c) sage -q 1> /dev/null << EOF dim=int($1) g=matrix.circulant([(lambda i: 1 if i==1 else 0)(i) for i in range(dim)]) f=open('$outfile','w') for i in range(dim): f.write(' '.join([str(x) for x in g.row(i)])+'\n') f.close() quit EOF ;; N) sage -q 1> /dev/null << EOF load('$file') f=open('$infile','r') g=matrix(rmspace([[int(x) for x in y.split()] for y in f.read().split('\n')])) indim=g.nrows(); outdim=int($1) G=[[zero_matrix(indim)]*outdim for i in range(outdim)]; G[0][1]=g for i in range(1,outdim): for j in range(outdim): if j==0: G[i][j]=-G[i-1][outdim-1] else: G[i][j]=G[i-1][j-1] G=block_matrix(G) f=open('$outfile','w') for i in range(G.nrows()): f.write(''.join(['%3d' % x for x in G.row(i)])+'\n') f.close() quit EOF ;; n) sage -q 1> /dev/null << EOF dim=int($1) g=matrix(dim,dim); g[0,1]=1 for i in range(1,dim): for j in range(dim): if j==0: g[i,j]=-g[i-1,dim-1] else: g[i,j]=g[i-1,j-1] f=open('$outfile','w') for i in range(dim): f.write(''.join(['%3d' % x for x in g.row(i)])+'\n') f.close() quit EOF ;; *) echo -e "${ERR} Syntax error. ${helper}" exit 1 ;; esac ex_generation-0.0/src/bgw.in0000664000175000017500000001215114654475253013040 00000000000000#!/bin/sh ERR="ERROR:" helper="Use sh $(basename $0) -h for help." if [ $# -eq 0 ]; then echo -e "${ERR} Expects options. ${helper}" ; exit 1 ; fi eval set -- $(getopt -o aCcg:Hhi:o:pw -- "$@") while [ -n $1 ]; do case "$1" in -a) if [ -z $kind ]; then kind="a" ; fi ;; -C) if [ -z $kind ]; then kind="C" ; fi ;; -c) if [ -z $kind ]; then kind="c" ; fi ;; -g) gp="g" ; gpord="$2" ; shift ;; -H) if [ -z $kind ]; then kind="H" ; fi ;; -h) man $(basename $0); exit 0 ;; -i) infile="$2" ; shift ;; -o) outfile="$2" ; shift ;; -p) perms="p" ;; -w) weighing="w" ;; --) shift ; break ;; *) echo -e "${ERR} Invalid options. ${helper}" ; exit 1 ;; esac shift done if [ -z "$kind" ]; then echo -e "${ERR} Requires options. ${helper}" ; exit 1 elif [ -z "$outfile" ]; then echo -e "${ERR} Requires output file. ${helper}" ; exit 1 elif [ -n "$gp" ] && [ -z "$infile" ]; then echo -e "${ERR} Requires input file with -g. ${helper}" ; exit 1 elif [ "$kind" = "a" ] && [ -z "$infile" ]; then echo -e "${ERR} Requires input file with -a. ${helper}" ; exit 1 fi file=@abs_top_srcdir@/src/funcs.sage case "$kind" in a) if [ $# -lt 2 ]; then echo -e "${ERR} Expects 2 parameters. ${helper}" ; exit 1 ; fi sage -q 1> /dev/null << EOF load('$file') q=int($1); d=int($2) qd=q**d; m=(qd-1)/(q-1) f=open('$infile','r') W=normalize_wmat(matrix(rmspace([[int(x) for x in y.split()] for y in f.read().split('\n')]))) R=res(W); D=der(W) X=reduce(matrix(circ(q,d)),2) X=matrix(m,m,lambda i,j: (-1)**X[i,j] if X[i,j] else 0) X=X.tensor_product(R) Y=simplex(q,d) for i in range(qd): for j in range(m): Y[i][j]=matrix(D.row(Y[i][j])) Y=block_matrix(Y) Z=block_matrix([[zero_matrix(X.nrows(),1),X],[ones_matrix(Y.nrows(),1),Y]]) f=open('$outfile','w') for i in range(Z.nrows()): f.write(''.join(['%3d' % x for x in Z.row(i)])+'\n') f.close() quit EOF ;; C) if [ $# -eq 0 ]; then echo -e "${ERR} Expects one parameter. ${helper}" ; exit 1 ; fi if [ -n "$gp" ]; then sage -q 1> /dev/null << EOF load('$file') q=int($1); gord=int($gpord) A=reduce(skew_conf(q),gord) f=open('$infile','r') gen=matrix(rmspace([[int(x) for x in y.split()] for y in f.read().split('\n')])) gp=[zero_matrix(gen.nrows(),gen.ncols())]+[gen**i for i in range(1,gord+1)] W=block_matrix(q+1,q+1,[[(lambda j: gp[A[i,j]])(j) for j in range(q+1)] for i in range(q+1)]) f=open('$outfile','w') for i in range(W.nrows()): f.write(''.join(['%3d' % x for x in W.row(i)])+'\n') f.close() quit EOF elif [ -n "$weighing" ]; then sage -q 1> /dev/null << EOF load('$file') q=int($1) A=reduce(skew_conf(q),2) W=matrix(q+1,q+1,lambda i,j: (-1)**A[i,j] if A[i,j] else 0) f=open('$outfile','w') for i in range(q+1): f.write(''.join(['%3d' % x for x in W.row(i)])+'\n') f.close() quit EOF else sage -q 1> /dev/null << EOF load('$file') W=skew_conf(int($1)) f=open('$outfile','w') for i in range(W.nrows()): f.write(' '.join([str(x) for x in W.row(i)])+'\n') f.close() quit EOF fi ;; c) if [ $# -lt 2 ]; then echo -e "${ERR} Expects 2 parameters. ${helper}" ; exit 1 ; fi if [ -n "$gp" ]; then sage -q 1> /dev/null << EOF load('$file') q=int($1); d=int($2); gord=int($gpord) qd=q**d; m=(qd-1)/(q-1) A=reduce(matrix(circ(q,d)),gord) f=open('$infile','r') gen=matrix(rmspace([[int(x) for x in y.split()] for y in f.read().split('\n')])) gp=[zero_matrix(gen.nrows(),gen.ncols())]+[gen**i for i in range(1,gord+1)] W=block_matrix(m,m,[[(lambda j: gp[A[i,j]])(j) for j in range(m)] for i in range(m)]) f=open('$outfile','w') for i in range(W.nrows()): f.write(''.join(['%3d' % x for x in W.row(i)])+'\n') f.close() quit EOF elif [ -n "$weighing" ]; then sage -q 1> /dev/null << EOF load('$file') q=int($1); d=int($2) qd=q**d; m=(qd-1)/(q-1) A=reduce(matrix(circ(q,d)),2) W=matrix(m,m,lambda i,j: (-1)**A[i,j] if A[i,j] else 0) f=open('$outfile','w') for i in range(m): f.write(''.join(['%3d' % x for x in W.row(i)])+'\n') f.close() quit EOF else sage -q 1> /dev/null<< EOF load('$file') q=int($1); d=int($2) W=circ(q,d) f=open('$outfile','w') for line in W: f.write(' '.join([str(x) for x in line])+'\n') f.close() quit EOF fi ;; H) if [ $# -lt 2 ]; then echo -e "${ERR} Expects 2 parameters. ${helper}" ; exit 1 ; fi if [ -n "$perms" ]; then sage -q 1> /dev/null << EOF load('$file') q=int($1); d=int($2) H=gh(q,d) if not is_prime(q): for i in range(2,floor(sqrt(q))+1): if is_prime(i) and q%i==0: p=i break else: p=q n=log(q,p) g=matrix.circulant([(lambda i: 1 if i==1 else 0)(i) for i in range(p)]) gp=[g**i for i in range(p)] L=counter2(n,gp) Gp=[] for line in L: temp=matrix(1,1,[1]) for mat in reversed(line): temp=temp.tensor_product(mat) Gp.append(temp) HH=block_matrix(H.nrows(),H.ncols(),[[(lambda j: Gp[H[i,j]])(j) for j in range(H.ncols())] for i in range(H.nrows())]) f=open('$outfile','w') for i in range(HH.nrows()): f.write(''.join([str(x) for x in HH.row(i)])+'\n') f.close() quit EOF else sage -q 1> /dev/null << EOF load('$file') q=int($1); d=int($2) H=gh(q,d) f=open('$outfile','w') for i in range(H.nrows()): f.write(' '.join([str(x) for x in H.row(i)])+'\n') f.close() quit EOF fi ;; *) echo -e "${ERR} Syntax error. ${helper}" exit 1 ;; esac ex_generation-0.0/README0000664000175000017500000000254414652771641012025 00000000000000# Description This package contains several Bourne shell scripts that invoke sage with various inline sage scripts. So, it is assumed that the freely available sagemath is installed. The purpose of the scripts is to provide constructions for classical parameter balanced generalized weighing matrices, generalized simplex codes, etc. # Installation To install the scripts run 1. mkdir build && cd build 2. ../configure 3. sudo make install Running configure from inside the build directory will generate the scripts and place them build/src with executable privileges. Running sudo make install copies the scripts to /usr/bin. You can override this default behaviour by running ../configure --prefix=dir instead of simply ../configure. Then the executables will be copied to dir instead. If you do not want the executables installed, simply omit sudo make install. If you clone the repository, you will first need to run autoreconf -i. # Documentaion Man pages are provided in the docs directory. They are installed to $(MATHPATH) in section upon running sudo make install. Otherwise, they can be read by running man docs/sript.man, where sript is replaced by the sript for which you want to read the help page. ex_generation-0.0/aclocal.m40000664000175000017500000006572714654475415013023 00000000000000# generated automatically by aclocal 1.16.5 -*- Autoconf -*- # Copyright (C) 1996-2021 Free Software Foundation, Inc. # This file is free software; the Free Software Foundation # gives unlimited permission to copy and/or distribute it, # with or without modifications, as long as this notice is preserved. # This program is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY, to the extent permitted by law; without # even the implied warranty of MERCHANTABILITY or FITNESS FOR A # PARTICULAR PURPOSE. m4_ifndef([AC_CONFIG_MACRO_DIRS], [m4_defun([_AM_CONFIG_MACRO_DIRS], [])m4_defun([AC_CONFIG_MACRO_DIRS], [_AM_CONFIG_MACRO_DIRS($@)])]) m4_ifndef([AC_AUTOCONF_VERSION], [m4_copy([m4_PACKAGE_VERSION], [AC_AUTOCONF_VERSION])])dnl m4_if(m4_defn([AC_AUTOCONF_VERSION]), [2.71],, [m4_warning([this file was generated for autoconf 2.71. 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(umask $mkdir_umask && eval "\$doit_exec \$mkdirprog $prefixes") || test -d "$dstdir" || exit 1 obsolete_mkdir_used=true fi fi fi if test -n "$dir_arg"; then { test -z "$chowncmd" || $doit $chowncmd "$dst"; } && { test -z "$chgrpcmd" || $doit $chgrpcmd "$dst"; } && { test "$obsolete_mkdir_used$chowncmd$chgrpcmd" = false || test -z "$chmodcmd" || $doit $chmodcmd $mode "$dst"; } || exit 1 else # Make a couple of temp file names in the proper directory. dsttmp=${dstdirslash}_inst.$$_ rmtmp=${dstdirslash}_rm.$$_ # Trap to clean up those temp files at exit. trap 'ret=$?; rm -f "$dsttmp" "$rmtmp" && exit $ret' 0 # Copy the file name to the temp name. (umask $cp_umask && { test -z "$stripcmd" || { # Create $dsttmp read-write so that cp doesn't create it read-only, # which would cause strip to fail. if test -z "$doit"; then : >"$dsttmp" # No need to fork-exec 'touch'. else $doit touch "$dsttmp" fi } } && $doit_exec $cpprog "$src" "$dsttmp") && # and set any options; do chmod last to preserve setuid bits. # # If any of these fail, we abort the whole thing. If we want to # ignore errors from any of these, just make sure not to ignore # errors from the above "$doit $cpprog $src $dsttmp" command. # { test -z "$chowncmd" || $doit $chowncmd "$dsttmp"; } && { test -z "$chgrpcmd" || $doit $chgrpcmd "$dsttmp"; } && { test -z "$stripcmd" || $doit $stripcmd "$dsttmp"; } && { test -z "$chmodcmd" || $doit $chmodcmd $mode "$dsttmp"; } && # If -C, don't bother to copy if it wouldn't change the file. if $copy_on_change && old=`LC_ALL=C ls -dlL "$dst" 2>/dev/null` && new=`LC_ALL=C ls -dlL "$dsttmp" 2>/dev/null` && set -f && set X $old && old=:$2:$4:$5:$6 && set X $new && new=:$2:$4:$5:$6 && set +f && test "$old" = "$new" && $cmpprog "$dst" "$dsttmp" >/dev/null 2>&1 then rm -f "$dsttmp" else # If $backupsuffix is set, and the file being installed # already exists, attempt a backup. Don't worry if it fails, # e.g., if mv doesn't support -f. if test -n "$backupsuffix" && test -f "$dst"; then $doit $mvcmd -f "$dst" "$dst$backupsuffix" 2>/dev/null fi # Rename the file to the real destination. $doit $mvcmd -f "$dsttmp" "$dst" 2>/dev/null || # The rename failed, perhaps because mv can't rename something else # to itself, or perhaps because mv is so ancient that it does not # support -f. { # Now remove or move aside any old file at destination location. # We try this two ways since rm can't unlink itself on some # systems and the destination file might be busy for other # reasons. In this case, the final cleanup might fail but the new # file should still install successfully. { test ! -f "$dst" || $doit $rmcmd "$dst" 2>/dev/null || { $doit $mvcmd -f "$dst" "$rmtmp" 2>/dev/null && { $doit $rmcmd "$rmtmp" 2>/dev/null; :; } } || { echo "$0: cannot unlink or rename $dst" >&2 (exit 1); exit 1 } } && # Now rename the file to the real destination. $doit $mvcmd "$dsttmp" "$dst" } fi || exit 1 trap '' 0 fi done # Local variables: # eval: (add-hook 'before-save-hook 'time-stamp) # time-stamp-start: "scriptversion=" # time-stamp-format: "%:y-%02m-%02d.%02H" # time-stamp-time-zone: "UTC0" # time-stamp-end: "; # UTC" # End: ex_generation-0.0/Makefile.am0000664000175000017500000000056414652772125013177 00000000000000bin_SCRIPTS = src/bgw src/circ src/simplex src/bal_split_hadamard \ src/bal_split_od src/hadi_generalized_quadrangle src/pseudogeometric CLEANFILES = $(dist_bin_SCRIPTS) dist_man1_MANS = docs/bgw.man docs/circ.man docs/simplex.man \ docs/bal_split_hadamard.man docs/bal_split_od.man \ docs/hadi_generalized_quadrangle.man docs/pseudogeometric.man EXTRA_DIST = README.md