diff options
Diffstat (limited to 'Master')
| -rw-r--r-- | Master/texmf-dist/doc/generic/pst-math/Changes | 1 | ||||
| -rw-r--r-- | Master/texmf-dist/dvips/pst-math/pst-math.pro | 80 | ||||
| -rw-r--r-- | Master/texmf-dist/tex/latex/pst-math/pst-math.sty | 2 |
3 files changed, 80 insertions, 3 deletions
diff --git a/Master/texmf-dist/doc/generic/pst-math/Changes b/Master/texmf-dist/doc/generic/pst-math/Changes index b45e32673f0..9848d512b23 100644 --- a/Master/texmf-dist/doc/generic/pst-math/Changes +++ b/Master/texmf-dist/doc/generic/pst-math/Changes @@ -1,4 +1,5 @@ ..... pst-math.pro +0.4 2009-05-11 added SystemEqnSolver 0.3 2009-01-20 added SIMPSON for numeric integration (dr/hv) 0.2 2007-08-30 added GAMMA function (hv) 0.1 first CTAN version (cj) diff --git a/Master/texmf-dist/dvips/pst-math/pst-math.pro b/Master/texmf-dist/dvips/pst-math/pst-math.pro index 711bb8f167c..a99b6ed5d26 100644 --- a/Master/texmf-dist/dvips/pst-math/pst-math.pro +++ b/Master/texmf-dist/dvips/pst-math/pst-math.pro @@ -5,8 +5,8 @@ % Author : Christophe JORSSEN % Author : Herbert Voß <hvoss@tug.org> % Created the : Sat 20 March 2004 -% Last Mod : $Date: 2009/01/19 $ -% Version : 1.2 $ +% Last Mod : $Date: 2009/05/11 $ +% Version : 0.4 $ % /PI 3.14159265359 def /ENeperian 2.71828182846 def @@ -147,6 +147,82 @@ exch 5 -1 roll 6 div mul mark 10 2 roll cleartomark end } def +% ------------------------------------ math stuff ---------------------------------- +% +% Matrix A in arrays of rows A[[row1][row2]...] +% with [row1]=[a11 a12 ... b1] +% returns on stack solution vector X=[x1 x2 ... xn] +/SolveLinEqSystem { % on stack matrix M=[A,b] (A*x=b) + 10 dict begin % hold all ocal + /A exch def + /Rows A length def % Rows = number of rows + /Cols A 0 get length def % Cols = number of columns + /Index [ 0 1 Rows 1 sub { } for ] def % Index = [0 1 2 ... Rows-1] + /col 0 def + /row 0 def + /PR Rows array def % PR[c] = pivot row for row row + { % starts the loop, find pivot entry in row r + col Cols ge row Rows ge or { exit } if % col < Cols and row < Rows else exit + /pRow row def % pRow = pivot row + /max A row get col get abs def % get A[row[col]], first A[0,0] + row 1 add 1 Rows 1 sub { % starts for loop 1 1 Rows-1 + /j exch def % index counter + /x A j get col get abs def % get A[j[r]] + x max gt { % x>max, then save position + /pRow j def + /max x def + } if + } for % now we have the row with biggest A[0,1] + % with pRow = the pivot row + max 0 gt { % swap entries pRow and row in i + /tmp Index row get def + Index row Index pRow get put + Index pRow tmp put % and columns pRow and row in A + /tmp A row get def + A row A pRow get put + A pRow tmp put % pivot + /row0 A row get def % the pivoting row + /p0 row0 col get def % the pivot value + row 1 add 1 Rows 1 sub { % start for loop + /j exch def + /c1 A j get def + /p c1 col get p0 div def + c1 col p put % subtract (p1/p0)*row[i] from row[j] + col 1 add 1 Cols 1 sub { % start for loop + /i exch def + c1 dup i exch % c1 i c1 + i get row0 i get p mul sub put + } for + } for + PR row col put + /col col 1 add def + /row row 1 add def + }{ % all zero entries + /row row 1 add def % continue loop with same row + } ifelse + } loop + /X A def % solution vector + A Rows 1 sub get dup + Cols 1 sub get exch + Cols 2 sub get div + X Rows 1 sub 3 -1 roll put % X[n] + Rows 2 sub -1 0 { % for loop to calculate X[i] + /xi exch def % current index + A xi get % i-th row + /Axi exch def + /sum 0 def + Cols 2 sub -1 xi 1 add { + /n exch def + /sum sum Axi n get X n get mul add def + } for + Axi Cols 1 sub get % b=Axi[Cols-1] + sum sub % b-sum + Axi xi get div % b-sum / Axi[xi] + X xi 3 -1 roll put % X[xi] + } for + X + end +} def % % % END pst-math.pro diff --git a/Master/texmf-dist/tex/latex/pst-math/pst-math.sty b/Master/texmf-dist/tex/latex/pst-math/pst-math.sty index 9fb99e25041..38f32e640b6 100644 --- a/Master/texmf-dist/tex/latex/pst-math/pst-math.sty +++ b/Master/texmf-dist/tex/latex/pst-math/pst-math.sty @@ -4,6 +4,6 @@ [\filedate\space v\fileversion\space `PST-math' (hv)] \IfFileExists{pst-math.pro}{% \ProvidesFile{pst-math.pro} - [2009/01/20 v. 0.3, PostScript prologue file (hv)] + [2009/05/11 v. 0.4, PostScript prologue file (hv)] \@addtofilelist{pst-math.pro}}{}% \endinput |