diff --git a/changelog b/changelog index 6221bfb..5d9c27d 100644 --- a/changelog +++ b/changelog @@ -1,3 +1,6 @@ +20090815 tpd src/axiom-website/patches.html 20090815.03.tpd.patch +20090815 tpd src/input/Makefile add shannonmatrix.regress +20090815 tpd src/input/shannonmatrix.input added 20090815 tpd src/axiom-website/patches.html 20090815.02.tpd.patch 20090815 tpd src/interp/Makefile remove debugsys 20090815 tpd src/axiom-website/patches.html 20090815.01.tpd.patch diff --git a/src/axiom-website/patches.html b/src/axiom-website/patches.html index 2d2f43e..bc0dd19 100644 --- a/src/axiom-website/patches.html +++ b/src/axiom-website/patches.html @@ -1790,6 +1790,8 @@ compress.lisp rewrite from boot to lisp
cparse.lisp rewrite from boot to lisp
20090815.02.tpd.patch src/interp/Makefile remove debugsys
+20090815.03.tpd.patch +src/input/Makefile add shannonmatrix.regress
diff --git a/src/input/Makefile.pamphlet b/src/input/Makefile.pamphlet index c471a15..ec81eda 100644 --- a/src/input/Makefile.pamphlet +++ b/src/input/Makefile.pamphlet @@ -375,7 +375,8 @@ REGRES= algaggr.regress algbrbf.regress algfacob.regress alist.regress \ scherk.regress scope.regress seccsc.regress \ segbind.regress seg.regress \ series2.regress series.regress sersolve.regress set.regress \ - setcmd.regress sincos.regress sinhcosh.regress \ + setcmd.regress shannonmatrix.regress \ + sincos.regress sinhcosh.regress \ sincosex.regress sint.regress skew.regress slowint.regress \ solvetra.regress space3.regress sqmatrix.regress sqrt3.regress \ sregset.regress \ @@ -680,7 +681,8 @@ FILES= ${OUT}/algaggr.input ${OUT}/algbrbf.input ${OUT}/algfacob.input \ ${OUT}/scherk.input ${OUT}/scope.input ${OUT}/seccsc.input \ ${OUT}/segbind.input ${OUT}/seg.input ${OUT}/series2.input \ ${OUT}/series.input ${OUT}/sersolve.input ${OUT}/set.input \ - ${OUT}/setcmd.input ${OUT}/sincos.input ${OUT}/sinhcosh.input \ + ${OUT}/setcmd.input ${OUT}/shannonmatrix.input \ + ${OUT}/sincos.input ${OUT}/sinhcosh.input \ ${OUT}/sincosex.input ${OUT}/sininv.input ${OUT}/sinsin.input \ ${OUT}/sinsin2.input ${OUT}/sint.input ${OUT}/skew.input \ ${OUT}/slowint.input ${OUT}/solvetra.input ${OUT}/space3.input \ @@ -1033,7 +1035,7 @@ DOCFILES= \ ${DOC}/seg.input.dvi ${DOC}/series2.input.dvi \ ${DOC}/series.input.dvi ${DOC}/sersolve.input.dvi \ ${DOC}/set.input.dvi ${DOC}/setcmd.input.dvi \ - ${DOC}/sincos.input.dvi \ + ${DOC}/shannonmatrix.input.dvi ${DOC}/sincos.input.dvi \ ${DOC}/sinhcosh.input.dvi ${DOC}/sincosex.input.dvi \ ${DOC}/sininv.input.dvi ${DOC}/sinsin2.input.dvi \ ${DOC}/sinsin.input.dvi ${DOC}/sint.input.dvi \ diff --git a/src/input/shannonmatrix.input.pamphlet b/src/input/shannonmatrix.input.pamphlet new file mode 100644 index 0000000..82b6b5f --- /dev/null +++ b/src/input/shannonmatrix.input.pamphlet @@ -0,0 +1,1565 @@ +\documentclass{article} +\usepackage{axiom} +\begin{document} +\title{\$SPAD/src/input shannonmatrix.input} +\author{Barry Trager} +\maketitle +\begin{abstract} +\end{abstract} +\eject +\tableofcontents +\eject +\begin{chunk}{*} +)set break resume +)spool shannonmatrix.output +)set message test on +)set message auto off +)clear all + +--S 1 of 27 +vprod(v1:Vector PF 2,v2:Vector PF 2):Vector PF 2 == + [v1.i * v2.i for i in 1..#v1] +-- +-- Function declaration vprod : (Vector PrimeField 2,Vector PrimeField +-- 2) -> Vector PrimeField 2 has been added to workspace. +-- Type: Void +--E 1 + +--S 2 of 27 +varmat(nvar) == + N := 2^nvar + vmat := zero(nvar, N)$Matrix PF 2 + for i in 0..N-1 repeat + for j in 0..nvar-1 repeat + if bit?(i,j) then vmat(nvar-j,i+1):=1 + vmat +-- +-- Type: Void +--E 2 + +--S 3 of 27 +prodvec(bvec:Vector PF 2, vmat:Matrix PF 2):Vector PF 2 == + vec := new(ncols vmat,1)$Vector PF 2 + for i in 1..#bvec repeat + if bvec(i)=1 then + vec := vprod(vec, row(vmat,i)) + vec +-- +-- Function declaration prodvec : (Vector PrimeField 2,Matrix +-- PrimeField 2) -> Vector PrimeField 2 has been added to workspace. +-- Type: Void +--E 3 + +--S 4 of 27 +B(r,m) == + vmat := varmat m + r = 0 => matrix [prodvec(column(vmat,1), vmat)] + r = 1 => vmat + rows : List Vector PF 2 := [] + for j in 1..ncols vmat repeat + colj := column(vmat,j) + if reduce(+, colj::Vector INT) = r then + rows := concat(prodvec(colj, vmat),rows) + matrix rows +-- +-- Type: Void +--E 4 + +--S 5 of 27 +G(r,m) == + gmat := B(0, m) + for i in 1..r repeat + gmat := vertConcat(gmat, B(i,m)) + gmat +-- +-- Type: Void +--E 5 + +--S 6 of 27 +Galt(r,m) == + vmat := varmat m + rows : List Vector PF 2 := [] + for j in 1..ncols vmat repeat + colj := column(vmat,j) + if reduce(+, colj::Vector INT) <= r then + rows := concat(prodvec(colj, vmat),rows) + matrix rows +-- +-- Type: Void +--E 6 + +--S 7 of 27 +orvec(vec:Vector PF 2):INT == + for i in 1..#vec repeat + if vec(i) = 1 then return 1 + return 0 +-- +-- Function declaration orvec : Vector PrimeField 2 -> Integer has been +-- added to workspace. +-- Type: Void +--E 7 + +--S 8 of 27 +countNonzRows(mat) == + reduce(+,[orvec(row(mat,i)) for i in 1..nrows mat]) +-- +-- Type: Void +--E 8 + +--S 9 of 27 +testTOGM(mat) == -- 0 if test succeeds otherise failing col + for i in 1..ncols(mat) repeat + mi := subMatrix(mat,1,nrows(mat),1,i) + if rank(mi) ~= countNonzRows mi then return( i) + rmi := subMatrix(mat,1,nrows(mat),ncols(mat)-i+1,ncols mat) + if rank(rmi) ~= countNonzRows rmi then return(-i) + return 0 +-- +-- Type: Void +--E 9 + +--S 10 of 27 +leftind(v:Vector PF 2):INT == + n := #v + for i in 1..n repeat + if v.i = 1 then return i + return( -1) +-- +-- Function declaration leftind : Vector PrimeField 2 -> Integer has +-- been added to workspace. +-- Type: Void +--E 10 + +--S 11 of 27 +rightind(v:Vector PF 2):INT == + n := #v + for i in n..1 by -1 repeat + if v.i = 1 then return i + return( -1) +-- +-- Function declaration rightind : Vector PrimeField 2 -> Integer has +-- been added to workspace. +-- Type: Void +--E 11 + +--S 12 of 27 +makeActive m == + mm := copy m + for i in 1..nrows mm repeat + v := row(mm,i) + for j in leftind(v)..rightind(v) repeat + mm(i,j) := 1 + mm +-- +-- Type: Void +--E 12 + +--S 13 of 27 +makeTOGM(mat) == + m := rowEchelon mat + nr := nrows m + for i in nr..1 by -1 repeat + r := rightind(row(m,i)) + for ii in 1.. i-1 repeat + if m(ii,r) = 1 then + setRow!(m,ii,row(m,ii)+row(m,i)) + m +-- +-- Type: Void +--E 13 + +--S 14 of 27 +countActives m == + mm := makeActive m + nc1 : NNI := (ncols(mm)-1)::NNI + v:=new(nc1,0)$Vector INT + for j in 1..nc1 repeat + for i in 1..nrows(mm) repeat + if mm(i,j)=1 and mm(i,j+1) = 1 then v.j := v.j + 1 + v::List INT +-- +-- Type: Void +--E 14 + +--S 15 of 27 +nstates m == + reduce(+,[2^i for i in countActives m]) +-- +-- Type: Void +--E 15 + +--S 16 of 27 +rowmats(vec:Vector PF 2):Vector Matrix POLY INT == + left := leftind(vec) + right := rightind(vec) + lmat:Matrix POLY INT := matrix [[1]] + lmats : Vector Matrix POLY INT := new(#vec, lmat) + lmats.left := matrix [[1, I*D]] + for i in left+1..right-1 repeat + if vec.i = 0 then lmats.i := matrix [[1,0],[0,1]] + else lmats.i := matrix [[1, 0],[0,D]] + lmats.right := matrix [[1], [D]] + lmats +-- +-- Function declaration rowmats : Vector PrimeField 2 -> Vector Matrix +-- Polynomial Integer has been added to workspace. +-- Type: Void +--E 16 + +--S 17 of 27 +rowmats1(vec:Vector PF 2):Vector Matrix POLY INT == -- no input weights I=1 + left := leftind(vec) + right := rightind(vec) + lmat:Matrix POLY INT := matrix [[1]] + lmats : Vector Matrix POLY INT := new(#vec, lmat) + lmats.left := matrix [[1, D]] + for i in left+1..right-1 repeat + if vec.i = 0 then lmats.i := matrix [[1,0],[0,1]] + else lmats.i := matrix [[1, 0],[0,D]] + lmats.right := matrix [[1], [D]] + lmats +-- +-- Function declaration rowmats1 : Vector PrimeField 2 -> Vector Matrix +-- Polynomial Integer has been added to workspace. +-- Type: Void +--E 17 + +--S 18 of 27 +shannonMatProd(mat1, mat2) == + mat:Matrix POLY INT:=zero(nrows(mat1)*nrows(mat2), ncols(mat1)*ncols(mat2)) + for i1 in 1..nrows(mat1) repeat + for i2 in 1..nrows(mat2) repeat + for j1 in 1..ncols(mat1) repeat + for j2 in 1..ncols(mat2) repeat + p1 := mat1(i1,j1) + p2 := mat2(i2,j2) + if p1 ~= 0 and p2~=0 then + mat((i1-1)*nrows(mat2)+i2, (j1-1)*ncols(mat2)+j2) := _ + I^(degree(p1,I) + degree(p2,I))_ + * D ^ ((degree(p1,D) + degree(p2,D)) rem 2) + mat +-- +-- Type: Void +--E 18 + +--S 19 of 27 +shannonProd(lpmats1, lpmats2) == + olmats := copy lpmats1 + for i in 1..#olmats repeat + olmats.i := shannonMatProd(olmats.i, lpmats2.i) + olmats +-- +-- Type: Void +--E 19 + +--S 20 of 27 +makeMatList(m) == + lpmats := rowmats(row(m,1)) + for i in 2..nrows m repeat + print ["processing row",i] + lpmats := shannonProd(lpmats, rowmats(row(m,i))) + lpmats +-- +-- Type: Void +--E 20 + +--S 21 of 27 +part(l,i,k) == -- extracts section i out of k from list l + n := (#l/k)::INT + [l.j for j in (i-1)*n+1..i*n] +-- +-- Type: Void +--E 21 + +--S 22 of 27 +saveMatList(m, fn) == + lpmats := makeMatList m + fn.'lpmats1:=part(lpmats,1,8) + fn.'lpmats2:=part(lpmats,2,8) + fn.'lpmats3:=part(lpmats,3,8) + fn.'lpmats4:=part(lpmats,4,8) + fn.'lpmats5:=part(lpmats,5,8) + fn.'lpmats6:=part(lpmats,6,8) + fn.'lpmats7:=part(lpmats,7,8) + fn.'lpmats8:=part(lpmats,8,8) + keys fn +-- +-- Type: Void +--E 22 + +--S 23 of 27 +wtpoly(m:Matrix PF 2):POLY INT == + lpmats := rowmats1(row(m,1)) + for i in 2..nrows m repeat + print ["processing row",i] + lpmats := shannonProd(lpmats, rowmats1(row(m,i))) + pmat := lpmats.1 + print "multiplying matrices" + for i in 2..#lpmats repeat + pmat := pmat * lpmats.i + pmat(1,1) +-- +-- Function declaration wtpoly : Matrix PrimeField 2 -> Polynomial +-- Integer has been added to workspace. +-- Type: Void +--E 23 + +--S 24 of 27 +saveWtPoly(m, fn) == + pol := wtpoly m + fn.'T := pol +-- +-- Type: Void +--E 24 + +--S 25 of 27 +g57 := makeTOGM G(5,7) +-- +-- Compiling function varmat with type PositiveInteger -> Matrix +-- PrimeField 2 +-- Compiling function vprod with type (Vector PrimeField 2,Vector +-- PrimeField 2) -> Vector PrimeField 2 +-- Compiling function prodvec with type (Vector PrimeField 2,Matrix +-- PrimeField 2) -> Vector PrimeField 2 +-- Compiling function B with type (NonNegativeInteger,PositiveInteger) +-- -> Matrix PrimeField 2 +-- Compiling function G with type (PositiveInteger,PositiveInteger) -> +-- Matrix PrimeField 2 +-- Compiling function rightind with type Vector PrimeField 2 -> Integer +-- +-- Compiling function makeTOGM with type Matrix PrimeField 2 -> Matrix +-- PrimeField 2 +-- +-- (25) +-- [ +-- [1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0] +-- , +-- +-- [0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0] +-- , +-- +-- [0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0] +-- , +-- +-- [0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0] +-- , +-- +-- [0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0] +-- , +-- +-- [0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0] +-- , +-- +-- [0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0] +-- , +-- +-- [0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, +-- 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0] +-- , +-- +-- [0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0] +-- , +-- +-- [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0] +-- , +-- +-- [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0] +-- , +-- +-- [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0] +-- , +-- +-- [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, +-- 1, 0, 0, 0, 1, 0, 0, 0] +-- , +-- +-- [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, +-- 0, 0, 0, 0, 0, 0, 0, 0] +-- , +-- +-- [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, +-- 1, 0, 1, 0, 0, 0, 0, 0] +-- , +-- +-- [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, +-- 1, 1, 0, 0, 0, 0, 0, 0] +-- , +-- +-- [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 1, 1, 1, 1, 0, 0, 0, 0] +-- , +-- +-- [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 1, 0, 1, 1, 0, 1, 0] +-- , +-- +-- [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 1, 1, 1, 1, 0, 0] +-- , +-- +-- [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, +-- 0, 0, 0, 0, 1, 1, 1, 1] +-- ] +-- Type: Matrix PrimeField 2 +--E 25 + +--S 26 of 27 +p:=wtpoly g57 +-- +-- Compiling function leftind with type Vector PrimeField 2 -> Integer +-- Compiling function rowmats1 with type Vector PrimeField 2 -> Vector +-- Matrix Polynomial Integer +-- Compiling function shannonMatProd with type (Matrix Polynomial +-- Integer,Matrix Polynomial Integer) -> Matrix Polynomial Integer +-- Compiling function shannonProd with type (Vector Matrix Polynomial +-- Integer,Vector Matrix Polynomial Integer) -> Vector Matrix +-- Polynomial Integer +-- Compiling function wtpoly with type Matrix PrimeField 2 -> +-- Polynomial Integer +-- ["processing row",2] +-- ["processing row",3] +-- ["processing row",4] +-- ["processing row",5] +-- ["processing row",6] +-- ["processing row",7] +-- ["processing row",8] +-- ["processing row",9] +-- ["processing row",10] +-- ["processing row",11] +-- ["processing row",12] +-- ["processing row",13] +-- ["processing row",14] +-- ["processing row",15] +-- ["processing row",16] +-- ["processing row",17] +-- ["processing row",18] +-- ["processing row",19] +-- ["processing row",20] +-- ["processing row",21] +-- ["processing row",22] +-- ["processing row",23] +-- ["processing row",24] +-- ["processing row",25] +-- ["processing row",26] +-- ["processing row",27] +-- ["processing row",28] +-- ["processing row",29] +-- ["processing row",30] +-- ["processing row",31] +-- ["processing row",32] +-- ["processing row",33] +-- ["processing row",34] +-- ["processing row",35] +-- ["processing row",36] +-- ["processing row",37] +-- ["processing row",38] +-- ["processing row",39] +-- ["processing row",40] +-- ["processing row",41] +-- ["processing row",42] +-- ["processing row",43] +-- ["processing row",44] +-- ["processing row",45] +-- ["processing row",46] +-- ["processing row",47] +-- ["processing row",48] +-- ["processing row",49] +-- ["processing row",50] +-- ["processing row",51] +-- ["processing row",52] +-- ["processing row",53] +-- ["processing row",54] +-- ["processing row",55] +-- ["processing row",56] +-- ["processing row",57] +-- ["processing row",58] +-- ["processing row",59] +-- ["processing row",60] +-- ["processing row",61] +-- ["processing row",62] +-- ["processing row",63] +-- ["processing row",64] +-- ["processing row",65] +-- ["processing row",66] +-- ["processing row",67] +-- ["processing row",68] +-- ["processing row",69] +-- ["processing row",70] +-- ["processing row",71] +-- ["processing row",72] +-- ["processing row",73] +-- ["processing row",74] +-- ["processing row",75] +-- ["processing row",76] +-- ["processing row",77] +-- ["processing row",78] +-- ["processing row",79] +-- ["processing row",80] +-- ["processing row",81] +-- ["processing row",82] +-- ["processing row",83] +-- ["processing row",84] +-- ["processing row",85] +-- ["processing row",86] +-- ["processing row",87] +-- ["processing row",88] +-- ["processing row",89] +-- ["processing row",90] +-- ["processing row",91] +-- ["processing row",92] +-- ["processing row",93] +-- ["processing row",94] +-- ["processing row",95] +-- ["processing row",96] +-- ["processing row",97] +-- ["processing row",98] +-- ["processing row",99] +-- ["processing row",100] +-- ["processing row",101] +-- ["processing row",102] +-- ["processing row",103] +-- ["processing row",104] +-- ["processing row",105] +-- ["processing row",106] +-- ["processing row",107] +-- ["processing row",108] +-- ["processing row",109] +-- ["processing row",110] +-- ["processing row",111] +-- ["processing row",112] +-- ["processing row",113] +-- ["processing row",114] +-- ["processing row",115] +-- ["processing row",116] +-- ["processing row",117] +-- ["processing row",118] +-- ["processing row",119] +-- ["processing row",120] +-- "multiplying matrices" +-- +-- (26) +-- 128 124 122 120 118 +-- D + 85344D + 42330624D + 11170182384D + 1772228014592D +-- + +-- 116 114 112 +-- 185359804775712D + 13586256544975872D + 729242357526446712D +-- + +-- 110 108 +-- 29627257927486958592D + 934817955092922629344D +-- + +-- 106 104 +-- 23382589365749366429184D + 471464166034059302122704D +-- + +-- 102 100 +-- 7769729456174562056216064D + 105877979970476869275385504D +-- + +-- 98 96 +-- 1204818392766796825789470720D + 11545366574237052418777217820D +-- + +-- 94 92 +-- 93844690870798540052434360320D + 651103402851220082586931517920D +-- + +-- 90 88 +-- 3876982708869397190103809681920D + 19906815062848699462140058602480D +-- + +-- 86 84 +-- 88505561045975275152200314606080D + 341953304041268345847846829061280D +-- + +-- 82 +-- 1151738374770880217441839661716480D +-- + +-- 80 +-- 3390889310828097487679807613566280D +-- + +-- 78 +-- 8747110385483091255323050018747392D +-- + +-- 76 +-- 19809632343594061105640384790579552D +-- + +-- 74 +-- 39453146176969302060067713110615552D +-- + +-- 72 +-- 69196719366229927819863672056678992D +-- + +-- 70 +-- 106997468058126854441956301420662272D +-- + +-- 68 +-- 145988070825071389633119654266397216D +-- + +-- 66 +-- 175865058349821585715411392357912576D +-- + +-- 64 +-- 187118328452563149209991044344449606D +-- + +-- 62 +-- 175865058349821585715411392357912576D +-- + +-- 60 +-- 145988070825071389633119654266397216D +-- + +-- 58 +-- 106997468058126854441956301420662272D +-- + +-- 56 +-- 69196719366229927819863672056678992D +-- + +-- 54 +-- 39453146176969302060067713110615552D +-- + +-- 52 +-- 19809632343594061105640384790579552D +-- + +-- 50 +-- 8747110385483091255323050018747392D +-- + +-- 48 +-- 3390889310828097487679807613566280D +-- + +-- 46 +-- 1151738374770880217441839661716480D +-- + +-- 44 42 +-- 341953304041268345847846829061280D + 88505561045975275152200314606080D +-- + +-- 40 38 +-- 19906815062848699462140058602480D + 3876982708869397190103809681920D +-- + +-- 36 34 +-- 651103402851220082586931517920D + 93844690870798540052434360320D +-- + +-- 32 30 +-- 11545366574237052418777217820D + 1204818392766796825789470720D +-- + +-- 28 26 +-- 105877979970476869275385504D + 7769729456174562056216064D +-- + +-- 24 22 +-- 471464166034059302122704D + 23382589365749366429184D +-- + +-- 20 18 16 +-- 934817955092922629344D + 29627257927486958592D + 729242357526446712D +-- + +-- 14 12 10 +-- 13586256544975872D + 185359804775712D + 1772228014592D +-- + +-- 8 6 4 +-- 11170182384D + 42330624D + 85344D + 1 +-- Type: Polynomial Integer +--E 26 + +--S 27 of 27 +reduce(+,coefficients p)-2^120 +-- +-- +-- (27) 0 +-- Type: NonNegativeInteger +--E 27 + +)spool +)lisp (bye) + +\end{chunk} +\eject +\begin{thebibliography}{99} +\bibitem{1} nothing +\end{thebibliography} +\end{document} + + + + \ No newline at end of file