standalone version release.

1 files changed, 2799 insertions, 0 deletions

diff --git a/doc/libgeometry.ps b/doc/libgeometry.ps
new file mode 100644
index 0000000..635b9cd
--- /dev/null
+++ b/doc/libgeometry.ps
@@ -0,0 +1,2799 @@
+%!PS-Adobe-2.0
+%%Version: 0.1
+%%Creator: troff, Plan 9 edition
+%%DocumentFonts: (atend)
+%%Pages: (atend)
+%%EndComments
+%
+% Version 3.3.2 prologue for troff files.
+%
+
+/#copies 1 store
+/aspectratio 1 def
+/formsperpage 1 def
+/landscape false def
+/linewidth .3 def
+/magnification 1 def
+/margin 0 def
+/orientation 0 def
+/resolution 720 def
+/rotation 1 def
+/xoffset 0 def
+/yoffset 0 def
+
+/roundpage true def
+/useclippath true def
+/pagebbox [0 0 612 792] def
+
+/R  /Times-Roman def
+/I  /Times-Italic def
+/B  /Times-Bold def
+/BI /Times-BoldItalic def
+/H  /Helvetica def
+/HI /Helvetica-Oblique def
+/HB /Helvetica-Bold def
+/HX /Helvetica-BoldOblique def
+/CW /Courier def
+/CO /Courier def
+/CI /Courier-Oblique def
+/CB /Courier-Bold def
+/CX /Courier-BoldOblique def
+/PA /Palatino-Roman def
+/PI /Palatino-Italic def
+/PB /Palatino-Bold def
+/PX /Palatino-BoldItalic def
+/Hr /Helvetica-Narrow def
+/Hi /Helvetica-Narrow-Oblique def
+/Hb /Helvetica-Narrow-Bold def
+/Hx /Helvetica-Narrow-BoldOblique def
+/KR /Bookman-Light def
+/KI /Bookman-LightItalic def
+/KB /Bookman-Demi def
+/KX /Bookman-DemiItalic def
+/AR /AvantGarde-Book def
+/AI /AvantGarde-BookOblique def
+/AB /AvantGarde-Demi def
+/AX /AvantGarde-DemiOblique def
+/NR /NewCenturySchlbk-Roman def
+/NI /NewCenturySchlbk-Italic def
+/NB /NewCenturySchlbk-Bold def
+/NX /NewCenturySchlbk-BoldItalic def
+/ZD /ZapfDingbats def
+/ZI /ZapfChancery-MediumItalic def
+/S  /S def
+/S1 /S1 def
+/GR /Symbol def
+
+/inch {72 mul} bind def
+/min {2 copy gt {exch} if pop} bind def
+
+/setup {
+	counttomark 2 idiv {def} repeat pop
+
+	landscape {/orientation 90 orientation add def} if
+	/scaling 72 resolution div def
+	linewidth setlinewidth
+	1 setlinecap
+
+	pagedimensions
+	xcenter ycenter translate
+	orientation rotation mul rotate
+	width 2 div neg height 2 div translate
+	xoffset inch yoffset inch neg translate
+	margin 2 div dup neg translate
+	magnification dup aspectratio mul scale
+	scaling scaling scale
+
+	addmetrics
+	0 0 moveto
+} def
+
+/pagedimensions {
+	useclippath userdict /gotpagebbox known not and {
+		/pagebbox [clippath pathbbox newpath] def
+		roundpage currentdict /roundpagebbox known and {roundpagebbox} if
+	} if
+	pagebbox aload pop
+	4 -1 roll exch 4 1 roll 4 copy
+	landscape {4 2 roll} if
+	sub /width exch def
+	sub /height exch def
+	add 2 div /xcenter exch def
+	add 2 div /ycenter exch def
+	userdict /gotpagebbox true put
+} def
+
+/addmetrics {
+	/Symbol /S null Sdefs cf
+	/Times-Roman /S1 StandardEncoding dup length array copy S1defs cf
+} def
+
+/pagesetup {
+	/page exch def
+	currentdict /pagedict known currentdict page known and {
+		page load pagedict exch get cvx exec
+	} if
+} def
+
+/decodingdefs [
+	{counttomark 2 idiv {y moveto show} repeat}
+	{neg /y exch def counttomark 2 idiv {y moveto show} repeat}
+	{neg moveto {2 index stringwidth pop sub exch div 0 32 4 -1 roll widthshow} repeat}
+	{neg moveto {spacewidth sub 0.0 32 4 -1 roll widthshow} repeat}
+	{counttomark 2 idiv {y moveto show} repeat}
+	{neg setfunnytext}
+] def
+
+/setdecoding {/t decodingdefs 3 -1 roll get bind def} bind def
+
+/w {neg moveto show} bind def
+/m {neg dup /y exch def moveto} bind def
+/done {/lastpage where {pop lastpage} if} def
+
+/f {
+	dup /font exch def findfont exch
+	dup /ptsize exch def scaling div dup /size exch def scalefont setfont
+	linewidth ptsize mul scaling 10 mul div setlinewidth
+	/spacewidth ( ) stringwidth pop def
+} bind def
+
+/changefont {
+	/fontheight exch def
+	/fontslant exch def
+	currentfont [
+		1 0
+		fontheight ptsize div fontslant sin mul fontslant cos div
+		fontheight ptsize div
+		0 0
+	] makefont setfont
+} bind def
+
+/sf {f} bind def
+
+/cf {
+	dup length 2 idiv
+	/entries exch def
+	/chtab exch def
+	/newencoding exch def
+	/newfont exch def
+
+	findfont dup length 1 add dict
+	/newdict exch def
+	{1 index /FID ne {newdict 3 1 roll put}{pop pop} ifelse} forall
+
+	newencoding type /arraytype eq {newdict /Encoding newencoding put} if
+
+	newdict /Metrics entries dict put
+	newdict /Metrics get
+	begin
+		chtab aload pop
+		1 1 entries {pop def} for
+		newfont newdict definefont pop
+	end
+} bind def
+
+%
+% A few arrays used to adjust reference points and character widths in some
+% of the printer resident fonts. If square roots are too high try changing
+% the lines describing /radical and /radicalex to,
+%
+%	/radical	[0 -75 550 0]
+%	/radicalex	[-50 -75 500 0]
+%
+% Move braceleftbt a bit - default PostScript character is off a bit.
+%
+
+/Sdefs [
+	/bracketlefttp		[201 500]
+	/bracketleftbt		[201 500]
+	/bracketrighttp		[-81 380]
+	/bracketrightbt		[-83 380]
+	/braceleftbt		[203 490]
+	/bracketrightex		[220 -125 500 0]
+	/radical		[0 0 550 0]
+	/radicalex		[-50 0 500 0]
+	/parenleftex		[-20 -170 0 0]
+	/integral		[100 -50 500 0]
+	/infinity		[10 -75 730 0]
+] def
+
+/S1defs [
+	/underscore		[0 80 500 0]
+	/endash			[7 90 650 0]
+] def
+%
+% Tries to round clipping path dimensions, as stored in array pagebbox, so they
+% match one of the known sizes in the papersizes array. Lower left coordinates
+% are always set to 0.
+%
+
+/roundpagebbox {
+    7 dict begin
+	/papersizes [8.5 inch 11 inch 14 inch 17 inch] def
+
+	/mappapersize {
+		/val exch def
+		/slop .5 inch def
+		/diff slop def
+		/j 0 def
+		0 1 papersizes length 1 sub {
+			/i exch def
+			papersizes i get val sub abs
+			dup diff le {/diff exch def /j i def} {pop} ifelse
+		} for
+		diff slop lt {papersizes j get} {val} ifelse
+	} def
+
+	pagebbox 0 0 put
+	pagebbox 1 0 put
+	pagebbox dup 2 get mappapersize 2 exch put
+	pagebbox dup 3 get mappapersize 3 exch put
+    end
+} bind def
+
+%%EndProlog
+%%BeginSetup
+mark
+%
+% Encoding vector and redefinition of findfont for the ISO Latin1 standard.
+% The 18 characters missing from ROM based fonts on older printers are noted
+% below.
+%
+
+/ISOLatin1Encoding [
+	/.notdef
+	/.notdef
+	/.notdef
+	/.notdef
+	/.notdef
+	/.notdef
+	/.notdef
+	/.notdef
+	/.notdef
+	/.notdef
+	/.notdef
+	/.notdef
+	/.notdef
+	/.notdef
+	/.notdef
+	/.notdef
+	/.notdef
+	/.notdef
+	/.notdef
+	/.notdef
+	/.notdef
+	/.notdef
+	/.notdef
+	/.notdef
+	/.notdef
+	/.notdef
+	/.notdef
+	/.notdef
+	/.notdef
+	/.notdef
+	/.notdef
+	/.notdef
+	/space
+	/exclam
+	/quotedbl
+	/numbersign
+	/dollar
+	/percent
+	/ampersand
+	/quoteright
+	/parenleft
+	/parenright
+	/asterisk
+	/plus
+	/comma
+	/minus
+	/period
+	/slash
+	/zero
+	/one
+	/two
+	/three
+	/four
+	/five
+	/six
+	/seven
+	/eight
+	/nine
+	/colon
+	/semicolon
+	/less
+	/equal
+	/greater
+	/question
+	/at
+	/A
+	/B
+	/C
+	/D
+	/E
+	/F
+	/G
+	/H
+	/I
+	/J
+	/K
+	/L
+	/M
+	/N
+	/O
+	/P
+	/Q
+	/R
+	/S
+	/T
+	/U
+	/V
+	/W
+	/X
+	/Y
+	/Z
+	/bracketleft
+	/backslash
+	/bracketright
+	/asciicircum
+	/underscore
+	/quoteleft
+	/a
+	/b
+	/c
+	/d
+	/e
+	/f
+	/g
+	/h
+	/i
+	/j
+	/k
+	/l
+	/m
+	/n
+	/o
+	/p
+	/q
+	/r
+	/s
+	/t
+	/u
+	/v
+	/w
+	/x
+	/y
+	/z
+	/braceleft
+	/bar
+	/braceright
+	/asciitilde
+	/.notdef
+	/.notdef
+	/.notdef
+	/.notdef
+	/.notdef
+	/.notdef
+	/.notdef
+	/.notdef
+	/.notdef
+	/.notdef
+	/.notdef
+	/.notdef
+	/.notdef
+	/.notdef
+	/.notdef
+	/.notdef
+	/.notdef
+	/dotlessi
+	/grave
+	/acute
+	/circumflex
+	/tilde
+	/macron
+	/breve
+	/dotaccent
+	/dieresis
+	/.notdef
+	/ring
+	/cedilla
+	/.notdef
+	/hungarumlaut
+	/ogonek
+	/caron
+	/space
+	/exclamdown
+	/cent
+	/sterling
+	/currency
+	/yen
+	/brokenbar		% missing
+	/section
+	/dieresis
+	/copyright
+	/ordfeminine
+	/guillemotleft
+	/logicalnot
+	/hyphen
+	/registered
+	/macron
+	/degree			% missing
+	/plusminus		% missing
+	/twosuperior		% missing
+	/threesuperior		% missing
+	/acute
+	/mu			% missing
+	/paragraph
+	/periodcentered
+	/cedilla
+	/onesuperior		% missing
+	/ordmasculine
+	/guillemotright
+	/onequarter		% missing
+	/onehalf		% missing
+	/threequarters		% missing
+	/questiondown
+	/Agrave
+	/Aacute
+	/Acircumflex
+	/Atilde
+	/Adieresis
+	/Aring
+	/AE
+	/Ccedilla
+	/Egrave
+	/Eacute
+	/Ecircumflex
+	/Edieresis
+	/Igrave
+	/Iacute
+	/Icircumflex
+	/Idieresis
+	/Eth			% missing
+	/Ntilde
+	/Ograve
+	/Oacute
+	/Ocircumflex
+	/Otilde
+	/Odieresis
+	/multiply		% missing
+	/Oslash
+	/Ugrave
+	/Uacute
+	/Ucircumflex
+	/Udieresis
+	/Yacute			% missing
+	/Thorn			% missing
+	/germandbls
+	/agrave
+	/aacute
+	/acircumflex
+	/atilde
+	/adieresis
+	/aring
+	/ae
+	/ccedilla
+	/egrave
+	/eacute
+	/ecircumflex
+	/edieresis
+	/igrave
+	/iacute
+	/icircumflex
+	/idieresis
+	/eth			% missing
+	/ntilde
+	/ograve
+	/oacute
+	/ocircumflex
+	/otilde
+	/odieresis
+	/divide			% missing
+	/oslash
+	/ugrave
+	/uacute
+	/ucircumflex
+	/udieresis
+	/yacute			% missing
+	/thorn			% missing
+	/ydieresis
+] def
+
+/NewFontDirectory FontDirectory maxlength dict def
+
+%
+% Apparently no guarantee findfont is defined in systemdict so the obvious
+%
+%	systemdict /findfont get exec
+%
+% can generate an error. So far the only exception is a VT600 (version 48.0).
+%
+
+userdict /@RealFindfont known not {
+	userdict begin
+		/@RealFindfont systemdict begin /findfont load end def
+	end
+} if
+
+/findfont {
+	dup NewFontDirectory exch known not {
+		dup
+		%dup systemdict /findfont get exec	% not always in systemdict
+		dup userdict /@RealFindfont get exec
+		dup /Encoding get StandardEncoding eq {
+			dup length dict begin
+				{1 index /FID ne {def}{pop pop} ifelse} forall
+				/Encoding ISOLatin1Encoding def
+				currentdict
+			end
+			/DummyFontName exch definefont
+		} if
+		NewFontDirectory 3 1 roll put
+	} if
+	NewFontDirectory exch get
+} bind def
+
+%%Patch from lp
+%%EndPatch from lp
+
+setup
+%%EndSetup
+%%Page: 1 1
+/saveobj save def
+mark
+1 pagesetup
+12 /LucidaSans-Demi f
+(libgeometry) 2507 1220 w
+10 /LucidaSans-Italic f
+(Rodrigo G. L\363pez) 2469 1480 w
+(rgl@antares-labs.eu) 2377 1760 w
+10 /LucidaSansUnicode00 f
+(Antares Telecom Laboratories) 2156 1960 w
+(Albatera, Alicante) 2451 2100 w
+10 /LucidaSans-Demi f
+(1.) 720 2700 w
+(Data Structures) 873 2700 w
+(1.1.) 720 2940 w
+(Point2) 962 2940 w
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+10 /LucidaSans-Italic f
+(Point2) 970 3546 w
+10 /LucidaSansUnicode00 f
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+(and compose affine transformations in a friendly manner.) 720 3786 w
+(A point) 3589 3786 w
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+(coordinates) 2036 4146 w
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+(point) 3684 4146 w
+(with) 3977 4146 w
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+(\() 2588 4446 w
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+(y) 2884 4446 w
+(/) 2944 4446 w
+(w) 3005 4446 w
+(\)) 3090 4446 w
+(.) 3139 4446 w
+10 /LucidaSans-Demi f
+(1.2.) 720 4746 w
+(Point3) 962 4746 w
+9 /LucidaTypewriter f
+(struct) 920 4916 w
+(Point3) 1375 4916 w
+({) 1830 4916 w
+(double) 1440 5026 w
+(x,) 1895 5026 w
+(y,) 2090 5026 w
+(z,) 2285 5026 w
+(w;) 2480 5026 w
+(};) 920 5136 w
+10 /LucidaSans-Italic f
+(Point3) 970 5352 w
+10 /LucidaSansUnicode00 f
+(is a point in three-dimensional projective space.) 1309 5352 w
+10 /LucidaSans-Demi f
+(1.3.) 720 5592 w
+(Matrix) 962 5592 w
+9 /LucidaTypewriter f
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+10 /LucidaSans-Italic f
+(Matrix) 970 5978 w
+10 /LucidaSansUnicode00 f
+(represents) 1341 5978 w
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+(matrix,) 2274 5978 w
+(thought) 2681 5978 w
+(to) 3123 5978 w
+(compose) 3280 5978 w
+(affine) 3775 5978 w
+(transformations) 4110 5978 w
+(to) 4942 5978 w
+(apply to homogeneous 2D points.) 720 6098 w
+10 /LucidaSans-Demi f
+(1.4.) 720 6338 w
+(Matrix3) 962 6338 w
+9 /LucidaTypewriter f
+(typedef) 920 6508 w
+(double) 1440 6508 w
+(Matrix3[4][4];) 1895 6508 w
+10 /LucidaSans-Italic f
+(Matrix3) 970 6724 w
+10 /LucidaSansUnicode00 f
+(represents) 1398 6724 w
+(a) 1964 6724 w
+(4x4) 2071 6724 w
+(matrix,) 2310 6724 w
+(thought) 2711 6724 w
+(to) 3147 6724 w
+(compose) 3298 6724 w
+(affine) 3787 6724 w
+(transformations) 4116 6724 w
+(to) 4942 6724 w
+(apply to homogeneous 3D points.) 720 6844 w
+8 /S1 f
+(__________________) 720 6980 w
+8 /LucidaSansUnicode00 f
+(ACHTUNG!) 720 7080 w
+(this) 1163 7080 w
+(is) 1333 7080 w
+(a) 1423 7080 w
+8 /LucidaSans-Demi f
+(WORK) 1493 7080 w
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+cleartomark
+showpage
+saveobj restore
+%%EndPage: 1 1
+%%Page: 2 2
+/saveobj save def
+mark
+2 pagesetup
+10 /LucidaSansUnicode00 f
+(\255 2 \255) 2783 480 w
+10 /LucidaSans-Demi f
+(1.5.) 720 840 w
+(Quaternion) 962 840 w
+9 /LucidaTypewriter f
+(struct) 920 1010 w
+(Quaternion) 1375 1010 w
+({) 2090 1010 w
+(double) 1440 1120 w
+(r,) 1895 1120 w
+(i,) 2090 1120 w
+(j,) 2285 1120 w
+(k;) 2480 1120 w
+(};) 920 1230 w
+10 /LucidaSans-Italic f
+(Quaternions) 970 1446 w
+10 /LucidaSansUnicode00 f
+(are) 1623 1446 w
+(a) 1829 1446 w
+(numbering) 1938 1446 w
+(system) 2522 1446 w
+(that) 2916 1446 w
+(extends) 3161 1446 w
+(the) 3601 1446 w
+(complex) 3810 1446 w
+(numbers) 4279 1446 w
+(up) 4762 1446 w
+(to) 4942 1446 w
+(four-dimensional) 720 1566 w
+(space,) 1607 1566 w
+(and) 1953 1566 w
+(are) 2171 1566 w
+(used) 2361 1566 w
+(to) 2631 1566 w
+(apply) 2767 1566 w
+(rotations) 3067 1566 w
+(and) 3539 1566 w
+(model) 3757 1566 w
+(mechanical) 4096 1566 w
+(interac\255) 4676 1566 w
+(tions) 720 1686 w
+(in) 1015 1686 w
+(3D) 1161 1686 w
+(space.) 1354 1686 w
+(Their) 1749 1686 w
+(main) 2055 1686 w
+(advantages) 2349 1686 w
+(with) 2952 1686 w
+(respect) 3212 1686 w
+(to) 3622 1686 w
+(their) 3775 1686 w
+(matrix) 4055 1686 w
+(relatives) 4426 1686 w
+(are) 4888 1686 w
+(increased computational and storage performance and gimbal lock avoidance.) 720 1806 w
+10 /LucidaSans-Demi f
+(2.) 720 2046 w
+(Algorithms) 873 2046 w
+(2.1.) 720 2286 w
+(Point2) 962 2286 w
+(Addition) 720 2526 w
+9 /LucidaTypewriter f
+(Point2) 920 2696 w
+(addpt2\(Point2) 1375 2696 w
+(a,) 2285 2696 w
+(Point2) 2480 2696 w
+(b\)) 2935 2696 w
+10 /LucidaSansUnicode00 f
+(a) 2051 2971 w
+10 /S f
+(+) 2122 2971 w
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+(b) 2193 2971 w
+10 /S f
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+10 /S f
+(\354) 2431 2934 w
+(\356) 2431 3034 w
+10 /LucidaSansUnicode00 f
+(x) 2480 2971 w
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+(+) 2615 2971 w
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+10 /S f
+(\374) 3660 2934 w
+(\376) 3660 3034 w
+10 /LucidaSans-Demi f
+(Substraction) 720 3326 w
+9 /LucidaTypewriter f
+(Point2) 920 3496 w
+(subpt2\(Point2) 1375 3496 w
+(a,) 2285 3496 w
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+(b\)) 2935 3496 w
+10 /LucidaSansUnicode00 f
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+10 /S f
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