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Diffstat (limited to 'Master/texmf-dist/dvips/euclide/pst-eucl.pro')
-rw-r--r-- | Master/texmf-dist/dvips/euclide/pst-eucl.pro | 112 |
1 files changed, 112 insertions, 0 deletions
diff --git a/Master/texmf-dist/dvips/euclide/pst-eucl.pro b/Master/texmf-dist/dvips/euclide/pst-eucl.pro new file mode 100644 index 00000000000..f453f20437c --- /dev/null +++ b/Master/texmf-dist/dvips/euclide/pst-eucl.pro @@ -0,0 +1,112 @@ +%! +% PostScript prologue for pst-eucl.tex. +% Version 2001, 2001/12/09 +% For distribution, see pstricks.tex. +% +/tx@EcldDict 400 dict def tx@EcldDict begin +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% Pi +/Pi 3.14159265359 def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% e +/E 2.718281828459045 def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% x -> true (if |x| < 1E-10) +/ZeroEq { abs 1E-10 lt } bind def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% x1 y1 x2 y2 -> a b c (ax+by+c=0) +/EqDr { + 4 copy 3 -1 roll sub 7 1 roll exch sub 5 1 roll 4 -1 roll + mul 3 1 roll mul exch sub } bind def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% orthogonal projection of M1 onto (OM2) +%% x1 y1 x2 y2 -> x3 y3 +/Project { + 2 copy dup mul exch dup mul add 5 1 roll 2 copy 5 -1 roll mul exch + 5 -1 roll mul add 4 -1 roll div dup 4 -1 roll mul exch 3 -1 roll mul +} bind def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% a b c (ax2+bx+c=0) -> x1 y1 +/SolvTrin { + /c exch def /b exch def /a exch def + b dup mul a c mul 4 mul sub dup 0 lt + { pop 0 0 } %% no solutions + {sqrt dup b neg add a 2 mul div exch b add neg 2 a mul div } + ifelse } bind def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% x1 y1 x2 y2 -> Dist +/ABDist { 3 -1 roll sub dup mul 3 1 roll sub dup mul add sqrt } bind def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% x1 y1 x2 y2 -> x1-x2 y1-y2 +/ABVect { 3 -1 roll exch sub 3 1 roll sub exch } bind def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% x1 y1 x2 y2 x3 y3 x4 y4 -> x y +/InterLines { + EqDr /D1c exch def /D1b exch def /D1a exch def + EqDr /D2c exch def /D2b exch def /D2a exch def + D1a D2b mul D1b D2a mul sub dup ZeroEq + { pop pop pop 0 0 } + { + /Det exch def + D1b D2c mul D1c D2b mul sub Det div + D1a D2c mul D2a D1c mul sub Det div + } + ifelse } bind def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% a b c R -> x1 y1 x2 y2 +/InterLineCircle { + /CR exch def /Dc exch def /Db exch def /Da exch def + Db Da dup ZeroEq { pop Dc dup ZeroEq { pop 1 } if } if div abs + 0.0005 lt { InterLineCirclebnull } { InterLineCircleGal } + ifelse + %%dup 3 index lt { 4 2 roll } if + } def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% case where the line is parallel to (oy) +/InterLineCirclebnull { + Dc Da div neg dup dup mul CR dup mul exch sub dup + 0 lt + { pop pop 0 0 0 0 } { sqrt dup 3 1 roll exch dup 4 1 roll exch neg } + ifelse } def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% general case +/InterLineCircleGal { + Da dup mul Db dup mul add -2 Dc mul Da mul Dc dup mul CR dup mul Db dup + mul mul sub SolvTrin dup neg exch Da Db div mul Dc Db + div exch sub 3 -1 roll + dup neg exch Da Db div mul Dc Db div exch sub +} bind def +/Glbx 0 def /Glby 0 def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% R R' OO' -> x1 y1 x2 y2 +/InterCircles { + /OOP exch def /CRP exch def /CR exch def + OOP dup mul CRP dup mul sub CR dup mul add OOP div 2 div + dup dup mul CR dup mul exch sub dup + 0 lt { pop pop 0 0 0 0 } { sqrt 2 copy neg } ifelse +} bind def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% x y theta -> x' y' (rotation of theta) +/Rotate { + dup sin /sintheta exch def cos /costheta exch def /y exch def /x exch def + x costheta mul y sintheta mul sub + y costheta mul x sintheta mul add +} def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% N -> x y +/GetNode { + tx@NodeDict begin + tx@NodeDict 1 index known { load GetCenter } { pop 0 0 } ifelse + end +} bind def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% x -> ch(x) +/ch { dup Ex exch neg Ex add 2 div } bind def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% x -> sh(x) +/sh { dup Ex exch neg Ex sub 2 div } bind def +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% x -> e^(x) +/Ex { E exch exp } bind def +end +% END ps-euclide.pro |