From e77a34629060abfad8e463efda0c3ffc54379793 Mon Sep 17 00:00:00 2001 From: rodri Date: Fri, 17 Apr 2020 11:37:10 +0000 Subject: roll everything back. --- geometry.h | 110 - graphics.h | 51 - libgeometry/doc/libgeometry.ms | 429 -- libgeometry/doc/libgeometry.pdf | Bin 35120 -> 0 bytes libgeometry/doc/libgeometry.ps | 2799 ------------- libgeometry/doc/mkfile | 15 - libgeometry/matrix.c | 348 -- libgeometry/mkfile | 13 - libgeometry/point.c | 161 - libgeometry/quaternion.c | 90 - libgeometry/rframe.c | 51 - libgeometry/triangle.c | 9 - libgraphics/camera.c | 104 - libgraphics/doc/libgraphics.ms | 34 - libgraphics/doc/libgraphics.pdf | Bin 15087 -> 0 bytes libgraphics/doc/libgraphics.ps | 583 --- libgraphics/doc/mkfile | 15 - libgraphics/mkfile | 11 - libgraphics/render.c | 98 - libobj/examples/box.obj | 30 - libobj/examples/cube.obj | 16 - libobj/examples/diamond.obj | 20 - libobj/examples/lamp.obj | 8863 --------------------------------------- libobj/examples/negcube.obj | 33 - libobj/examples/square.obj | 9 - libobj/mkfile | 9 - libobj/obj.2.man | 88 - libobj/obj.c | 584 --- libobj/spec | 2 - libobj/test/main.acid | 525 --- libobj/test/main.c | 35 - libobj/test/mkfile | 21 - main.acid | 554 ++- main.c | 64 +- mkfile | 22 +- obj.h | 92 - 36 files changed, 517 insertions(+), 15371 deletions(-) delete mode 100644 geometry.h delete mode 100644 graphics.h delete mode 100644 libgeometry/doc/libgeometry.ms delete mode 100644 libgeometry/doc/libgeometry.pdf delete mode 100644 libgeometry/doc/libgeometry.ps delete mode 100644 libgeometry/doc/mkfile delete mode 100644 libgeometry/matrix.c delete mode 100644 libgeometry/mkfile delete mode 100644 libgeometry/point.c delete mode 100644 libgeometry/quaternion.c delete mode 100644 libgeometry/rframe.c delete mode 100644 libgeometry/triangle.c delete mode 100644 libgraphics/camera.c delete mode 100644 libgraphics/doc/libgraphics.ms delete mode 100644 libgraphics/doc/libgraphics.pdf delete mode 100644 libgraphics/doc/libgraphics.ps delete mode 100644 libgraphics/doc/mkfile delete mode 100644 libgraphics/mkfile delete mode 100644 libgraphics/render.c delete mode 100644 libobj/examples/box.obj delete mode 100644 libobj/examples/cube.obj delete mode 100644 libobj/examples/diamond.obj delete mode 100644 libobj/examples/lamp.obj delete mode 100644 libobj/examples/negcube.obj delete mode 100644 libobj/examples/square.obj delete mode 100644 libobj/mkfile delete mode 100644 libobj/obj.2.man delete mode 100644 libobj/obj.c delete mode 100644 libobj/spec delete mode 100644 libobj/test/main.acid delete mode 100644 libobj/test/main.c delete mode 100644 libobj/test/mkfile delete mode 100644 obj.h diff --git a/geometry.h b/geometry.h deleted file mode 100644 index 0e4f748..0000000 --- a/geometry.h +++ /dev/null @@ -1,110 +0,0 @@ -#define DEG 0.01745329251994330 /* π/180 */ - -typedef struct Point2 Point2; -typedef struct Point3 Point3; -typedef double Matrix[3][3]; -typedef double Matrix3[4][4]; -typedef struct Quaternion Quaternion; -typedef struct RFrame RFrame; -typedef struct RFrame3 RFrame3; -typedef struct Triangle3 Triangle3; - -struct Point2 { - double x, y, w; -}; - -struct Point3 { - double x, y, z, w; -}; - -struct Quaternion { - double r, i, j, k; -}; - -struct RFrame { - Point2 p; - Point2 bx, by; -}; - -struct RFrame3 { - Point3 p; - Point3 bx, by, bz; -}; - -struct Triangle3 { - Point3 p0, p1, p2; -}; - -/* Point2 */ -Point2 Pt2(double, double, double); -Point2 Vec2(double, double); -Point2 addpt2(Point2, Point2); -Point2 subpt2(Point2, Point2); -Point2 mulpt2(Point2, double); -Point2 divpt2(Point2, double); -Point2 lerp2(Point2, Point2, double); -double dotvec2(Point2, Point2); -double vec2len(Point2); -Point2 normvec2(Point2); - -/* Point3 */ -Point3 Pt3(double, double, double, double); -Point3 Vec3(double, double, double); -Point3 addpt3(Point3, Point3); -Point3 subpt3(Point3, Point3); -Point3 mulpt3(Point3, double); -Point3 divpt3(Point3, double); -Point3 lerp3(Point3, Point3, double); -double dotvec3(Point3, Point3); -Point3 crossvec3(Point3, Point3); -double vec3len(Point3); -Point3 normvec3(Point3); - -/* Matrix */ -void identity(Matrix); -void addm(Matrix, Matrix); -void subm(Matrix, Matrix); -void mulm(Matrix, Matrix); -void smulm(Matrix, double); -void transposem(Matrix); -double detm(Matrix); -double tracem(Matrix); -void adjm(Matrix); -void invm(Matrix); -Point2 xform(Point2, Matrix); - -/* Matrix3 */ -void identity3(Matrix3); -void addm3(Matrix3, Matrix3); -void subm3(Matrix3, Matrix3); -void mulm3(Matrix3, Matrix3); -void smulm3(Matrix3, double); -void transposem3(Matrix3); -double detm3(Matrix3); -double tracem3(Matrix3); -void adjm3(Matrix3); -void invm3(Matrix3); -Point3 xform3(Point3, Matrix3); - -/* Quaternion */ -Quaternion Quat(double, double, double, double); -Quaternion Quatvec(double, Point3); -Quaternion addq(Quaternion, Quaternion); -Quaternion subq(Quaternion, Quaternion); -Quaternion mulq(Quaternion, Quaternion); -Quaternion smulq(Quaternion, double); -Quaternion sdivq(Quaternion, double); -double dotq(Quaternion, Quaternion); -Quaternion invq(Quaternion); -double qlen(Quaternion); -Quaternion normq(Quaternion); -Point3 qrotate(Point3, Point3, double); - -/* RFrame */ -Point2 rframexform(Point2, RFrame); -Point3 rframexform3(Point3, RFrame3); -Point2 invrframexform(Point2, RFrame); -Point3 invrframexform3(Point3, RFrame3); - -/* Triangle3 */ -Point3 centroid(Triangle3); diff --git a/graphics.h b/graphics.h deleted file mode 100644 index 51c0a93..0000000 --- a/graphics.h +++ /dev/null @@ -1,51 +0,0 @@ -typedef enum { - Portho, /* orthographic */ - Ppersp /* perspective */ -} Projection; - -typedef struct Vertex Vertex; -typedef struct Viewport Viewport; -typedef struct Camera Camera; - -struct Vertex { - Point3 p; /* position */ - Point3 n; /* surface normal */ -}; - -struct Viewport -{ - RFrame; - Memimage *fb; -}; - -struct Camera { - RFrame3; /* VCS */ - Viewport viewport; - double fov; /* vertical FOV */ - double clipn; - double clipf; - Matrix3 proj; /* VCS to NDC xform */ - Projection ptype; - - void (*updatefb)(Camera*, Rectangle, ulong); -}; - -/* Camera */ -Camera *alloccamera(Rectangle, ulong); -void configcamera(Camera*, Image*, double, double, double, Projection); -void placecamera(Camera*, Point3, Point3, Point3); -void aimcamera(Camera*, Point3); -void reloadcamera(Camera*); - -/* rendering */ -#define FPS2MS(n) (1000/(n)) -#define WORLD2VCS(cp, p) (rframexform3((p), *(cp))) -#define VCS2NDC(cp, p) (xform3((p), (cp)->proj)) -#define WORLD2NDC(cp, p) (VCS2NDC((cp), WORLD2VCS((cp), (p)))) -int isclipping(Point3); -Point toviewport(Camera*, Point3); -Point2 fromviewport(Camera*, Point); -void perspective(Matrix3, double, double, double, double); -void orthographic(Matrix3, double, double, double, double, double, double); -void line3(Camera*, Point3, Point3, int, int, Image*); -Point string3(Camera*, Point3, Image*, Font*, char*); diff --git a/libgeometry/doc/libgeometry.ms b/libgeometry/doc/libgeometry.ms deleted file mode 100644 index 47c8d94..0000000 --- a/libgeometry/doc/libgeometry.ms +++ /dev/null @@ -1,429 +0,0 @@ -.TL -libgeometry -.AU -Rodrigo G. López -.sp -rgl@antares-labs.eu -.AI -Antares Telecom Laboratories -Albatera, Alicante -.FS -ACHTUNG! this is a -.B "WORK IN PROGRESS" -.FE -.SH -Introduction -.PP -.I Libgeometry is a computational geometry library that provides all -the utilities anybody working with graphics or scientific simulations -could need. -.NH 1 -Data Structures -.NH 2 -Point2 -.P1 -struct Point2 { - double x, y, w; -}; -.P2 -.PP -.I Point2 -represents a point in two-dimensional projective space, which itself -is an extension of the two-dimensional euclidean space that allows us -to work with vectors and compose affine transformations in a friendly -manner. A point -.EQ -gfont roman -(x, y, w) -.EN -made out of homogenous coordinates -.I x , -.I y , -and -.I w , -yields a point with cartesian coordinates -.EQ -(x/w, y/w) . -.EN -.NH 2 -Point3 -.P1 -struct Point3 { - double x, y, z, w; -}; -.P2 -.PP -.I Point3 -is a point in three-dimensional projective space. -.NH 2 -Matrix -.P1 -typedef double Matrix[3][3]; -.P2 -.PP -.I Matrix -represents a 3x3 matrix, thought to compose affine transformations to -apply to homogeneous 2D points. -.NH 2 -Matrix3 -.P1 -typedef double Matrix3[4][4]; -.P2 -.PP -.I Matrix3 -represents a 4x4 matrix, thought to compose affine transformations to -apply to homogeneous 3D points. -.NH 2 -Quaternion -.P1 -struct Quaternion { - double r, i, j, k; -}; -.P2 -.PP -.I Quaternions -are a numbering system that extends the complex numbers up to -four-dimensional space, and are used to apply rotations and model -mechanical interactions in 3D space. Their main advantages with -respect to their matrix relatives are increased computational and -storage performance and gimbal lock avoidance. -.NH 2 -RFrame -.P1 -struct RFrame { - Point2 p; - Point2 bx, by; -}; -.P2 -.PP -A reference frame (or frame of reference) is -.NH 2 -RFrame3 -.P1 -struct RFrame3 { - Point3 p; - Point3 bx, by, bz; -}; -.P2 -.PP -A reference frame (or frame of reference) is -.NH 1 -Algorithms -.NH 2 -Point2 -.SH -Addition -.P1 -Point2 addpt2(Point2 a, Point2 b) -.P2 -.EQ -a + b ~=~ left ( x sub a + x sub b ,~ y sub a + y sub b ,~ w sub a + w sub b right ) -.EN -.SH -Substraction -.P1 -Point2 subpt2(Point2 a, Point2 b) -.P2 -.EQ -a - b ~=~ left ( x sub a - x sub b ,~ y sub a - y sub b ,~ w sub a - w sub b right ) -.EN -.SH -Multiplication -.P1 -Point2 mulpt2(Point2 p, double s) -.P2 -.EQ -p * s ~=~ left ( xs,~ ys,~ ws right ) -.EN -.SH -Division -.P1 -Point2 divpt2(Point2 p, double s) -.P2 -.EQ -p / s ~=~ left ( x over s ,~ y over s ,~ w over s right ) -.EN -.SH -Vector Dot Product -.P1 -double dotvec2(Point2 a, Point2 b) -.P2 -.EQ -a vec ~•~ b vec ~=~ x sub a x sub b + y sub a y sub b -.EN -.SH -Vector Magnitude/Length -.P1 -double vec2len(Point2 v) -.P2 -.EQ -| v vec | ~=~ sqrt { x sup 2 + y sup 2 } -.EN -.SH -Vector Normalization -.P1 -Point2 normvec2(Point2 v) -.P2 -.EQ -n vec ~=~ left ( x over {| v vec |},~ y over {| v vec |} right ) -.EN -.NH 2 -Point3 -.SH -Addition -.P1 -Point3 addpt3(Point3 a, Point3 b) -.P2 -.EQ -a + b ~=~ left ( x sub a + x sub b ,~ y sub a + y sub b ,~ z sub a + z sub b ,~ w sub a + w sub b right ) -.EN -.SH -Substraction -.P1 -Point3 subpt3(Point3 a, Point3 b) -.P2 -.EQ -a - b ~=~ left ( x sub a - x sub b ,~ y sub a - y sub b ,~ z sub a - z sub b ,~ w sub a - w sub b right ) -.EN -.SH -Multiplication -.P1 -Point3 mulpt3(Point3 p, double s) -.P2 -.EQ -p * s ~=~ left ( xs,~ ys,~ zs,~ ws right ) -.EN -.SH -Division -.P1 -Point3 divpt3(Point3 p, double s) -.P2 -.EQ -p / s ~=~ left ( x over s ,~ y over s ,~ z over s ,~ w over s right ) -.EN -.SH -Vector Dot Product -.P1 -double dotvec3(Point3 a, Point3 b) -.P2 -.EQ -a vec ~•~ b vec ~=~ x sub a x sub b + y sub a y sub b + z sub a z sub b -.EN -.SH -Vector Cross Product -.P1 -double crossvec3(Point3 a, Point3 b) -.P2 -.EQ -a vec ~×~ b vec ~=~ left ( y sub a z sub b - z sub a y sub b ,~ - z sub a x sub b - x sub a z sub b ,~ - x sub a y sub b - y sub a x sub b right ) -.EN -.SH -Vector Magnitude/Length -.P1 -double vec3len(Point3 v) -.P2 -.EQ -| v vec | ~=~ sqrt { x sup 2 + y sup 2 + z sup 2 } -.EN -.SH -Vector Normalization -.P1 -Point3 normvec3(Point3 v) -.P2 -.EQ -n vec ~=~ left ( x over {| v vec |},~ y over {| v vec |},~ z over {| v vec |} right ) -.EN -.NH 2 -Matrix -.SH -Addition -.P1 -void addm(Matrix A, Matrix B) -.P2 -.EQ -( bold A + bold B ) sub {i,j} ~=~ bold A sub {i,j} + bold B sub {i,j} -.EN -.SH -Substraction -.P1 -void subm(Matrix A, Matrix B) -.P2 -.EQ -( bold A - bold B ) sub {i,j} ~=~ bold A sub {i,j} - bold B sub {i,j} -.EN -.SH -Multiplication -.P1 -void mulm(Matrix A, Matrix B) -.P2 -.EQ -left [ bold A bold B right ] sub {i,j} ~=~ sum from {k = 0} to 3-1 bold A sub {i,k} bold B sub {k,j} -.EN -.SH -Transpose -.P1 -void transposem(Matrix M) -.P2 -.EQ -( bold M sup T ) sub {i,j} ~=~ bold A sub {j,i} -.EN -.SH -Identity -.P1 -void identity(Matrix M) -.P2 -.EQ -bold M ~=~ left [ rpile { - 1 ~ 0 ~ 0 -above 0 ~ 1 ~ 0 -above 0 ~ 0 ~ 1 -} right ] -.EN -.SH -Determinant -.P1 -double detm(Matrix M) -.P2 -.EQ -det( bold M ) ~=~ lpile { - m sub 00 ( m sub 11 m sub 22 - m sub 12 m sub 21 ) + -above m sub 01 ( m sub 12 m sub 20 - m sub 10 m sub 22 ) + -above m sub 02 ( m sub 10 m sub 21 - m sub 11 m sub 20 ) -} -.EN -.NH 2 -Matrix3 -.SH -Addition -.P1 -void addm3(Matrix3 A, Matrix3 B) -.P2 -.EQ -( bold A + bold B ) sub {i,j} ~=~ bold A sub {i,j} + bold B sub {i,j} -.EN -.SH -Substraction -.P1 -void subm3(Matrix3 A, Matrix3 B) -.P2 -.EQ -( bold A - bold B ) sub {i,j} ~=~ bold A sub {i,j} - bold B sub {i,j} -.EN -.SH -Multiplication -.P1 -void mulm3(Matrix3 A, Matrix3 B) -.P2 -.EQ -left [ bold A bold B right ] sub {i,j} ~=~ sum from {k = 0} to 4-1 bold A sub {i,k} bold B sub {k,j} -.EN -.SH -Transpose -.P1 -void transposem3(Matrix3 M) -.P2 -.EQ -( bold M sup T ) sub {i,j} ~=~ bold A sub {j,i} -.EN -.SH -Identity -.P1 -void identity3(Matrix3 M) -.P2 -.EQ -bold M ~=~ left [ rpile { - 1 ~ 0 ~ 0 ~ 0 -above 0 ~ 1 ~ 0 ~ 0 -above 0 ~ 0 ~ 1 ~ 0 -above 0 ~ 0 ~ 0 ~ 1 -} right ] -.EN -.SH -Determinant -.P1 -double detm3(Matrix3 M) -.P2 -.EQ -det( bold M ) ~=~ rpile { - m sub 00 ( m sub 11 ( m sub 22 m sub 33 - m sub 23 m sub 32 ) + - m sub 12 ( m sub 23 m sub 31 - m sub 21 m sub 33 ) + - m sub 13 ( m sub 21 m sub 32 - m sub 22 m sub 31 ) ) -above -m sub 01 ( m sub 10 ( m sub 22 m sub 33 - m sub 23 m sub 32 ) + - m sub 12 ( m sub 23 m sub 30 - m sub 20 m sub 33 ) + - m sub 13 ( m sub 20 m sub 32 - m sub 22 m sub 30 ) ) -above +m sub 02 ( m sub 10 ( m sub 21 m sub 33 - m sub 23 m sub 31 ) + - m sub 11 ( m sub 23 m sub 30 - m sub 20 m sub 33 ) + - m sub 13 ( m sub 20 m sub 31 - m sub 21 m sub 30 ) ) -above -m sub 03 ( m sub 10 ( m sub 21 m sub 32 - m sub 22 m sub 31 ) + - m sub 11 ( m sub 22 m sub 30 - m sub 20 m sub 32 ) + - m sub 12 ( m sub 20 m sub 31 - m sub 21 m sub 30 ) ) -} -.EN -.NH 2 -Quaternion -.SH -Addition -.P1 -Quaternion addq(Quaternion q, Quaternion r) -.P2 -.EQ -q + r ~=~ ( r sub q + r sub r ,~ i sub q + i sub r ,~ j sub q + j sub r ,~ k sub q + k sub r ) -.EN -.SH -Substraction -.P1 -Quaternion subq(Quaternion q, Quaternion r) -.P2 -.EQ -q - r ~=~ ( r sub q - r sub r ,~ i sub q - i sub r ,~ j sub q - j sub r ,~ k sub q - k sub r ) -.EN -.SH -Multiplication -.P1 -Quaternion mulq(Quaternion q, Quaternion r) -.P2 -.EQ -q ~=~ [ r sub q ,~ v vec sub q ] -r ~=~ [ r sub r ,~ v vec sub r ] -qr ~=~ [ r sub q r sub r - v vec sub q • v vec sub r ,~ v vec sub r r sub q + v vec sub q r sub r + v vec sub q X v vec sub r ] -.EN -.SH -Scalar Multiplication -.P1 -Quaternion smulq(Quaternion q, double s) -.P2 -.EQ -qs ~=~ [ r sub q s ,~ i sub q s ,~ j sub q s ,~ k sub q s ] -.EN -.SH -Inverse -.P1 -Quaternion invq(Quaternion q) -.P2 -.EQ -q sup -1 ~=~ left ( r over {| q | sup 2} ,~ -i over {| q | sup 2} ,~ -j over {| q | sup 2} ,~ -k over {| q | sup 2} right ) -.EN -.SH -Magnitude/Length -.P1 -double qlen(Quaternion q) -.P2 -.EQ -| q | ~=~ sqrt { r sup 2 + i sup 2 + j sup 2 + k sup 2 } -.EN -.NH 2 -RFrame -.SH -Change of reference -.P1 -Point2 rframexform(Point2 p, RFrame rf) -.P2 -.NH 2 -RFrame3 -.SH -Change of reference -.P1 -Point3 rframexform3(Point3 p, RFrame3 rf) -.P2 diff --git a/libgeometry/doc/libgeometry.pdf b/libgeometry/doc/libgeometry.pdf deleted file mode 100644 index 3a49480..0000000 Binary files a/libgeometry/doc/libgeometry.pdf and /dev/null differ diff --git a/libgeometry/doc/libgeometry.ps b/libgeometry/doc/libgeometry.ps deleted file mode 100644 index 635b9cd..0000000 --- a/libgeometry/doc/libgeometry.ps +++ /dev/null @@ -1,2799 +0,0 @@ -%!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. -% - 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/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 -9 /LucidaTypewriter f -(struct) 920 3110 w -(Point2) 1375 3110 w -({) 1830 3110 w -(double) 1440 3220 w -(x,) 1895 3220 w -(y,) 2090 3220 w -(w;) 2285 3220 w -(};) 920 3330 w -10 /LucidaSans-Italic f -(Point2) 970 3546 w -10 /LucidaSansUnicode00 f -(represents) 1324 3546 w -(a) 1886 3546 w -(point) 1989 3546 w -(in) 2289 3546 w -(two-dimensional) 2428 3546 w -(projective) 3299 3546 w -(space,) 3823 3546 w -(which) 4179 3546 w -(itself) 4508 3546 w -(is) 4795 3546 w -(an) 4923 3546 w -(extension) 720 3666 w -(of) 1240 3666 w -(the) 1383 3666 w -(two-dimensional) 1583 3666 w -(euclidean) 2451 3666 w -(space) 2959 3666 w -(that) 3280 3666 w -(allows) 3516 3666 w -(us) 3862 3666 w -(to) 4019 3666 w -(work) 4161 3666 w -(with) 4442 3666 w -(vectors) 4691 3666 w -(and compose affine transformations in a friendly manner.) 720 3786 w -(A point) 3589 3786 w -(\() 2696 3966 w -(x) 2737 3966 w -(,) 2806 3966 w -(y) 2846 3966 w -(,) 2906 3966 w -(w) 2946 3966 w -(\)) 3031 3966 w -(made) 720 4146 w -(out) 1027 4146 w -(of) 1227 4146 w -(homogenous) 1365 4146 w -(coordinates) 2036 4146 w -10 /LucidaSans-Italic f -(x) 2643 4146 w -10 /LucidaSansUnicode00 f -(,) 2697 4146 w -10 /LucidaSans-Italic f -(y) 2769 4146 w -10 /LucidaSansUnicode00 f -(,) 2824 4146 w -(and) 2896 4146 w -10 /LucidaSans-Italic f -(w) 3116 4146 w -10 /LucidaSansUnicode00 f -(,) 3194 4146 w -(yields) 3267 4146 w -(a) 3588 4146 w -(point) 3684 4146 w -(with) 3977 4146 w -(cartesian) 4223 4146 w -(coordi\255) 4701 4146 w -(nates) 720 4266 w -(\() 2588 4446 w -(x) 2629 4446 w -(/) 2698 4446 w -(w) 2759 4446 w -(,) 2844 4446 w -(y) 2884 4446 w -(/) 2944 4446 w -(w) 3005 4446 w -(\)) 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 -(typedef) 920 5762 w -(double) 1440 5762 w -(Matrix[3][3];) 1895 5762 w -10 /LucidaSans-Italic f -(Matrix) 970 5978 w -10 /LucidaSansUnicode00 f -(represents) 1341 5978 w -(a) 1914 5978 w -(3x3) 2028 5978 w -(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 -(IN) 1769 7080 w -(PROGRESS) 1883 7080 w -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 -10 /LucidaSansUnicode00 f -(b) 2193 2971 w -10 /S f -(=) 2312 2971 w -10 /LucidaSansUnicode00 f -10 /S f -(\354) 2431 2934 w -(\356) 2431 3034 w -10 /LucidaSansUnicode00 f -(x) 2480 2971 w -7 /LucidaSansUnicode00 f -(a) 2552 2991 w -10 /S f -(+) 2615 2971 w -10 /LucidaSansUnicode00 f -(x) 2686 2971 w -7 /LucidaSansUnicode00 f -(b) 2758 2991 w -10 /LucidaSansUnicode00 f -(,) 2818 2971 w -(y) 2898 2971 w -7 /LucidaSansUnicode00 f -(a) 2961 2991 w -10 /S f -(+) 3024 2971 w -10 /LucidaSansUnicode00 f -(y) 3095 2971 w -7 /LucidaSansUnicode00 f -(b) 3158 2991 w -10 /LucidaSansUnicode00 f -(,) 3218 2971 w -(w) 3298 2971 w -7 /LucidaSansUnicode00 f -(a) 3386 2991 w -10 /S f -(+) 3449 2971 w -10 /LucidaSansUnicode00 f -(w) 3520 2971 w -7 /LucidaSansUnicode00 f -(b) 3608 2991 w -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\(Point2) 1375 3496 w -(a,) 2285 3496 w -(Point2) 2480 3496 w -(b\)) 2935 3496 w -10 /LucidaSansUnicode00 f -(a) 2051 3771 w -10 /S f -(-) 2122 3771 w -10 /LucidaSansUnicode00 f -(b) 2193 3771 w -10 /S f -(=) 2312 3771 w -10 /LucidaSansUnicode00 f -10 /S f -(\354) 2431 3734 w -(\356) 2431 3834 w -10 /LucidaSansUnicode00 f -(x) 2480 3771 w -7 /LucidaSansUnicode00 f -(a) 2552 3791 w -10 /S f -(-) 2615 3771 w -10 /LucidaSansUnicode00 f -(x) 2686 3771 w -7 /LucidaSansUnicode00 f -(b) 2758 3791 w -10 /LucidaSansUnicode00 f -(,) 2818 3771 w -(y) 2898 3771 w -7 /LucidaSansUnicode00 f -(a) 2961 3791 w -10 /S f -(-) 3024 3771 w -10 /LucidaSansUnicode00 f -(y) 3095 3771 w -7 /LucidaSansUnicode00 f -(b) 3158 3791 w -10 /LucidaSansUnicode00 f -(,) 3218 3771 w -(w) 3298 3771 w -7 /LucidaSansUnicode00 f -(a) 3386 3791 w -10 /S f -(-) 3449 3771 w -10 /LucidaSansUnicode00 f -(w) 3520 3771 w -7 /LucidaSansUnicode00 f -(b) 3608 3791 w -10 /S f -(\374) 3660 3734 w -(\376) 3660 3834 w -10 /LucidaSans-Demi f -(Multiplication) 720 4126 w -9 /LucidaTypewriter f -(Point2) 920 4296 w -(mulpt2\(Point2) 1375 4296 w -(p,) 2285 4296 w -(double) 2480 4296 w -(s\)) 2935 4296 w -10 /LucidaSansUnicode00 f -(p) 2395 4536 w -(*) 2466 4536 w -(s) 2522 4536 w -10 /S f -(=) 2629 4536 w -10 /LucidaSansUnicode00 f -10 /S f -(\354) 2748 4499 w -(\356) 2748 4599 w -10 /LucidaSansUnicode00 f -(xs) 2797 4546 w -(,) 2917 4546 w -(ys) 2997 4546 w -(,) 3108 4546 w -(ws) 3188 4546 w -10 /S f -(\374) 3316 4499 w -(\376) 3316 4599 w -10 /LucidaSans-Demi f -(Division) 720 4841 w -9 /LucidaTypewriter f -(Point2) 920 5011 w -(divpt2\(Point2) 1375 5011 w -(p,) 2285 5011 w -(double) 2480 5011 w -(s\)) 2935 5011 w -10 /LucidaSansUnicode00 f -(p) 2394 5336 w -(/) 2465 5336 w -(s) 2526 5336 w -10 /S f -(=) 2633 5336 w -10 /LucidaSansUnicode00 f -10 /S f -(\354) 2752 5249 w -(\357) 2752 5349 w -(\356) 2752 5449 w -10 /LucidaSansUnicode00 f -(s) 2831 5406 w -(x) 2826 5276 w -10 /S1 f -(_) 2811 5306 w -(_) 2852 5306 w -10 /LucidaSansUnicode00 f -(,) 2920 5336 w -(s) 3025 5406 w -(y) 3025 5276 w -10 /S1 f -(_) 3010 5306 w -(_) 3042 5306 w -10 /LucidaSansUnicode00 f -(,) 3110 5336 w -(s) 3228 5406 w -(w) 3215 5276 w -10 /S1 f -(_) 3200 5306 w -(__) 3207 5306 w -10 /S f -(\374) 3317 5249 w -(\357) 3317 5349 w -(\376) 3317 5449 w -10 /LucidaSans-Demi f -(Vector Dot Product) 720 5741 w -9 /LucidaTypewriter f -(double) 920 5911 w -(dotvec2\(Point2) 1375 5911 w -(a,) 2350 5911 w -(Point2) 2545 5911 w -(b\)) 3000 5911 w -10 /LucidaSansUnicode00 f -(a) 2375 6156 w -7 /LucidaSansUnicode21 f -(\222) 2370 6106 w -10 /LucidaSansUnicode00 f -10 /LucidaSansUnicode20 f -(") 2479 6156 w -10 /LucidaSansUnicode00 f -(b) 2583 6156 w -7 /LucidaSansUnicode21 f -(\222) 2582 6081 w -10 /LucidaSansUnicode00 f -10 /S f -(=) 2703 6156 w -10 /LucidaSansUnicode00 f -(x) 2814 6156 w -7 /LucidaSansUnicode00 f -(a) 2886 6176 w -10 /LucidaSansUnicode00 f -(x) 2941 6156 w -7 /LucidaSansUnicode00 f -(b) 3013 6176 w -10 /S f -(+) 3081 6156 w -10 /LucidaSansUnicode00 f -(y) 3152 6156 w -7 /LucidaSansUnicode00 f -(a) 3215 6176 w -10 /LucidaSansUnicode00 f -(y) 3270 6156 w -7 /LucidaSansUnicode00 f -(b) 3333 6176 w -10 /LucidaSans-Demi f -(Vector Magnitude/Length) 720 6456 w -9 /LucidaTypewriter f -(double) 920 6626 w -(vec2len\(Point2) 1375 6626 w -(v\)) 2350 6626 w -10 /LucidaSansUnicode00 f -(|) 2509 6901 w -(v) 2557 6884 w -7 /LucidaSansUnicode21 f -(\222) 2550 6834 w -10 /LucidaSansUnicode00 f -(|) 2609 6901 w -10 /S f -(=) 2705 6884 w -10 /LucidaSansUnicode00 f -12 /LucidaSansUnicode22 f -(\032) 2816 6884 w -12 /S f -(`) 2913 6884 w -(`````) 2943 6884 w -10 /LucidaSansUnicode00 f -(x) 2921 6884 w -7 /LucidaSansUnicode00 f -(2) 2987 6844 w -10 /S f -(+) 3055 6884 w -10 /LucidaSansUnicode00 f -(y) 3126 6884 w -7 /LucidaSansUnicode00 f -(2) 3183 6844 w -cleartomark -showpage -saveobj restore -%%EndPage: 2 2 -%%Page: 3 3 -/saveobj save def -mark -3 pagesetup -10 /LucidaSansUnicode00 f -(\255 3 \255) 2783 480 w -10 /LucidaSans-Demi f -(Vector Normalization) 720 840 w -9 /LucidaTypewriter f -(Point2) 920 1010 w -(normvec2\(Point2) 1375 1010 w -(v\)) 2415 1010 w -10 /LucidaSansUnicode00 f -(n) 2502 1335 w -7 /LucidaSansUnicode21 f -(\222) 2500 1285 w -10 /LucidaSansUnicode00 f -10 /S f -(=) 2620 1335 w -10 /LucidaSansUnicode00 f -10 /S f -(\354) 2739 1248 w -(\357) 2739 1348 w -(\356) 2739 1448 w -10 /LucidaSansUnicode00 f -(|) 2813 1447 w -(v) 2861 1430 w -7 /LucidaSansUnicode21 f -(\222) 2854 1380 w -10 /LucidaSansUnicode00 f -(|) 2913 1447 w -(x) 2841 1275 w -10 /S1 f -(_) 2799 1305 w -(__) 2845 1305 w -10 /LucidaSansUnicode00 f -(,) 2963 1335 w -(|) 3068 1447 w -(v) 3116 1430 w -7 /LucidaSansUnicode21 f -(\222) 3109 1380 w -10 /LucidaSansUnicode00 f -(|) 3168 1447 w -(y) 3100 1275 w -10 /S1 f -(_) 3053 1305 w -(__) 3099 1305 w -10 /S f -(\374) 3209 1248 w -(\357) 3209 1348 w -(\376) 3209 1448 w -10 /LucidaSans-Demi f -(2.2.) 720 1740 w -(Point3) 962 1740 w -(Addition) 720 1980 w -9 /LucidaTypewriter f -(Point3) 920 2150 w -(addpt3\(Point3) 1375 2150 w -(a,) 2285 2150 w -(Point3) 2480 2150 w -(b\)) 2935 2150 w -10 /LucidaSansUnicode00 f -(a) 1846 2425 w -10 /S f -(+) 1917 2425 w -10 /LucidaSansUnicode00 f -(b) 1988 2425 w -10 /S f -(=) 2107 2425 w -10 /LucidaSansUnicode00 f -10 /S f -(\354) 2226 2388 w -(\356) 2226 2488 w -10 /LucidaSansUnicode00 f -(x) 2275 2425 w -7 /LucidaSansUnicode00 f -(a) 2347 2445 w -10 /S f -(+) 2410 2425 w -10 /LucidaSansUnicode00 f -(x) 2481 2425 w -7 /LucidaSansUnicode00 f -(b) 2553 2445 w -10 /LucidaSansUnicode00 f -(,) 2613 2425 w -(y) 2693 2425 w -7 /LucidaSansUnicode00 f -(a) 2756 2445 w -10 /S f -(+) 2819 2425 w -10 /LucidaSansUnicode00 f -(y) 2890 2425 w -7 /LucidaSansUnicode00 f -(b) 2953 2445 w -10 /LucidaSansUnicode00 f -(,) 3013 2425 w -(z) 3093 2425 w -7 /LucidaSansUnicode00 f -(a) 3161 2445 w -10 /S f -(+) 3224 2425 w -10 /LucidaSansUnicode00 f -(z) 3295 2425 w -7 /LucidaSansUnicode00 f -(b) 3363 2445 w -10 /LucidaSansUnicode00 f -(,) 3423 2425 w -(w) 3503 2425 w -7 /LucidaSansUnicode00 f -(a) 3591 2445 w -10 /S f -(+) 3654 2425 w -10 /LucidaSansUnicode00 f -(w) 3725 2425 w -7 /LucidaSansUnicode00 f -(b) 3813 2445 w -10 /S f -(\374) 3865 2388 w -(\376) 3865 2488 w -10 /LucidaSans-Demi f -(Substraction) 720 2780 w -9 /LucidaTypewriter f -(Point3) 920 2950 w -(subpt3\(Point3) 1375 2950 w -(a,) 2285 2950 w -(Point3) 2480 2950 w -(b\)) 2935 2950 w -10 /LucidaSansUnicode00 f -(a) 1846 3225 w -10 /S f -(-) 1917 3225 w -10 /LucidaSansUnicode00 f -(b) 1988 3225 w -10 /S f -(=) 2107 3225 w -10 /LucidaSansUnicode00 f -10 /S f -(\354) 2226 3188 w -(\356) 2226 3288 w -10 /LucidaSansUnicode00 f -(x) 2275 3225 w -7 /LucidaSansUnicode00 f -(a) 2347 3245 w -10 /S f -(-) 2410 3225 w -10 /LucidaSansUnicode00 f -(x) 2481 3225 w -7 /LucidaSansUnicode00 f -(b) 2553 3245 w -10 /LucidaSansUnicode00 f -(,) 2613 3225 w -(y) 2693 3225 w -7 /LucidaSansUnicode00 f -(a) 2756 3245 w -10 /S f -(-) 2819 3225 w -10 /LucidaSansUnicode00 f -(y) 2890 3225 w -7 /LucidaSansUnicode00 f -(b) 2953 3245 w -10 /LucidaSansUnicode00 f -(,) 3013 3225 w -(z) 3093 3225 w -7 /LucidaSansUnicode00 f -(a) 3161 3245 w -10 /S f -(-) 3224 3225 w -10 /LucidaSansUnicode00 f -(z) 3295 3225 w -7 /LucidaSansUnicode00 f -(b) 3363 3245 w -10 /LucidaSansUnicode00 f -(,) 3423 3225 w -(w) 3503 3225 w -7 /LucidaSansUnicode00 f -(a) 3591 3245 w -10 /S f -(-) 3654 3225 w -10 /LucidaSansUnicode00 f -(w) 3725 3225 w -7 /LucidaSansUnicode00 f -(b) 3813 3245 w -10 /S f -(\374) 3865 3188 w -(\376) 3865 3288 w -10 /LucidaSans-Demi f -(Multiplication) 720 3580 w -9 /LucidaTypewriter f -(Point3) 920 3750 w -(mulpt3\(Point3) 1375 3750 w -(p,) 2285 3750 w -(double) 2480 3750 w -(s\)) 2935 3750 w -10 /LucidaSansUnicode00 f -(p) 2297 3990 w -(*) 2368 3990 w -(s) 2424 3990 w -10 /S f -(=) 2531 3990 w -10 /LucidaSansUnicode00 f -10 /S f -(\354) 2650 3953 w -(\356) 2650 4053 w -10 /LucidaSansUnicode00 f -(xs) 2699 4000 w -(,) 2819 4000 w -(ys) 2899 4000 w -(,) 3010 4000 w -(zs) 3090 4000 w -(,) 3206 4000 w -(ws) 3286 4000 w -10 /S f -(\374) 3414 3953 w -(\376) 3414 4053 w -10 /LucidaSans-Demi f -(Division) 720 4295 w -9 /LucidaTypewriter f -(Point3) 920 4465 w -(divpt3\(Point3) 1375 4465 w -(p,) 2285 4465 w -(double) 2480 4465 w -(s\)) 2935 4465 w -10 /LucidaSansUnicode00 f -(p) 2296 4790 w -(/) 2367 4790 w -(s) 2428 4790 w -10 /S f -(=) 2535 4790 w -10 /LucidaSansUnicode00 f -10 /S f -(\354) 2654 4703 w -(\357) 2654 4803 w -(\356) 2654 4903 w -10 /LucidaSansUnicode00 f -(s) 2733 4860 w -(x) 2728 4730 w -10 /S1 f -(_) 2713 4760 w -(_) 2754 4760 w -10 /LucidaSansUnicode00 f -(,) 2822 4790 w -(s) 2927 4860 w -(y) 2927 4730 w -10 /S1 f -(_) 2912 4760 w -(_) 2944 4760 w -10 /LucidaSansUnicode00 f -(,) 3012 4790 w -(s) 3120 4860 w -(z) 3117 4730 w -10 /S1 f -(_) 3102 4760 w -(_) 3139 4760 w -10 /LucidaSansUnicode00 f -(,) 3207 4790 w -(s) 3325 4860 w -(w) 3312 4730 w -10 /S1 f -(_) 3297 4760 w -(__) 3304 4760 w -10 /S f -(\374) 3414 4703 w -(\357) 3414 4803 w -(\376) 3414 4903 w -10 /LucidaSans-Demi f -(Vector Dot Product) 720 5195 w -9 /LucidaTypewriter f -(double) 920 5365 w -(dotvec3\(Point3) 1375 5365 w -(a,) 2350 5365 w -(Point3) 2545 5365 w -(b\)) 3000 5365 w -10 /LucidaSansUnicode00 f -(a) 2210 5610 w -7 /LucidaSansUnicode21 f -(\222) 2205 5560 w -10 /LucidaSansUnicode00 f -10 /LucidaSansUnicode20 f -(") 2314 5610 w -10 /LucidaSansUnicode00 f -(b) 2418 5610 w -7 /LucidaSansUnicode21 f -(\222) 2417 5535 w -10 /LucidaSansUnicode00 f -10 /S f -(=) 2538 5610 w -10 /LucidaSansUnicode00 f -(x) 2649 5610 w -7 /LucidaSansUnicode00 f -(a) 2721 5630 w -10 /LucidaSansUnicode00 f -(x) 2776 5610 w -7 /LucidaSansUnicode00 f -(b) 2848 5630 w -10 /S f -(+) 2916 5610 w -10 /LucidaSansUnicode00 f -(y) 2987 5610 w -7 /LucidaSansUnicode00 f -(a) 3050 5630 w -10 /LucidaSansUnicode00 f -(y) 3105 5610 w -7 /LucidaSansUnicode00 f -(b) 3168 5630 w -10 /S f -(+) 3236 5610 w -10 /LucidaSansUnicode00 f -(z) 3307 5610 w -7 /LucidaSansUnicode00 f -(a) 3375 5630 w -10 /LucidaSansUnicode00 f -(z) 3430 5610 w -7 /LucidaSansUnicode00 f -(b) 3498 5630 w -10 /LucidaSans-Demi f -(Vector Cross Product) 720 5910 w -9 /LucidaTypewriter f -(double) 920 6080 w -(crossvec3\(Point3) 1375 6080 w -(a,) 2480 6080 w -(Point3) 2675 6080 w -(b\)) 3130 6080 w -10 /LucidaSansUnicode00 f -(a) 1650 6355 w -7 /LucidaSansUnicode21 f -(\222) 1645 6305 w -10 /LucidaSansUnicode00 f -(\327) 1754 6355 w -(b) 1882 6355 w -7 /LucidaSansUnicode21 f -(\222) 1881 6280 w -10 /LucidaSansUnicode00 f -10 /S f -(=) 2002 6355 w -10 /LucidaSansUnicode00 f -10 /S f -(\354) 2121 6318 w -(\356) 2121 6418 w -10 /LucidaSansUnicode00 f -(y) 2170 6355 w -7 /LucidaSansUnicode00 f -(a) 2233 6375 w -10 /LucidaSansUnicode00 f -(z) 2288 6355 w -7 /LucidaSansUnicode00 f -(b) 2356 6375 w -10 /S f -(-) 2424 6355 w -10 /LucidaSansUnicode00 f -(z) 2495 6355 w -7 /LucidaSansUnicode00 f -(a) 2563 6375 w -10 /LucidaSansUnicode00 f -(y) 2618 6355 w -7 /LucidaSansUnicode00 f -(b) 2681 6375 w -10 /LucidaSansUnicode00 f -(,) 2741 6355 w -(z) 2821 6355 w -7 /LucidaSansUnicode00 f -(a) 2889 6375 w -10 /LucidaSansUnicode00 f -(x) 2944 6355 w -7 /LucidaSansUnicode00 f -(b) 3016 6375 w -10 /S f -(-) 3084 6355 w -10 /LucidaSansUnicode00 f -(x) 3155 6355 w -7 /LucidaSansUnicode00 f -(a) 3227 6375 w -10 /LucidaSansUnicode00 f -(z) 3282 6355 w -7 /LucidaSansUnicode00 f -(b) 3350 6375 w -10 /LucidaSansUnicode00 f -(,) 3410 6355 w -(x) 3490 6355 w -7 /LucidaSansUnicode00 f -(a) 3562 6375 w -10 /LucidaSansUnicode00 f -(y) 3617 6355 w -7 /LucidaSansUnicode00 f -(b) 3680 6375 w -10 /S f -(-) 3748 6355 w -10 /LucidaSansUnicode00 f -(y) 3819 6355 w -7 /LucidaSansUnicode00 f -(a) 3882 6375 w -10 /LucidaSansUnicode00 f -(x) 3937 6355 w -7 /LucidaSansUnicode00 f -(b) 4009 6375 w -10 /S f -(\374) 4061 6318 w -(\376) 4061 6418 w -10 /LucidaSans-Demi f -(Vector Magnitude/Length) 720 6710 w -9 /LucidaTypewriter f -(double) 920 6880 w -(vec3len\(Point3) 1375 6880 w -(v\)) 2350 6880 w -10 /LucidaSansUnicode00 f -(|) 2408 7155 w -(v) 2456 7138 w -7 /LucidaSansUnicode21 f -(\222) 2449 7088 w -10 /LucidaSansUnicode00 f -(|) 2508 7155 w -10 /S f -(=) 2604 7138 w -10 /LucidaSansUnicode00 f -12 /LucidaSansUnicode22 f -(\032) 2715 7138 w -12 /S f -(`) 2812 7138 w -(````````) 2863 7138 w -10 /LucidaSansUnicode00 f -(x) 2820 7138 w -7 /LucidaSansUnicode00 f -(2) 2886 7098 w -10 /S f -(+) 2954 7138 w -10 /LucidaSansUnicode00 f -(y) 3025 7138 w -7 /LucidaSansUnicode00 f -(2) 3082 7098 w -10 /S f -(+) 3150 7138 w -10 /LucidaSansUnicode00 f -(z) 3221 7138 w -7 /LucidaSansUnicode00 f -(2) 3283 7098 w -cleartomark -showpage -saveobj restore -%%EndPage: 3 3 -%%Page: 4 4 -/saveobj save def -mark -4 pagesetup -10 /LucidaSansUnicode00 f -(\255 4 \255) 2783 480 w -10 /LucidaSans-Demi f -(Vector Normalization) 720 840 w -9 /LucidaTypewriter f -(Point3) 920 1010 w -(normvec3\(Point3) 1375 1010 w -(v\)) 2415 1010 w -10 /LucidaSansUnicode00 f -(n) 2374 1335 w -7 /LucidaSansUnicode21 f -(\222) 2372 1285 w -10 /LucidaSansUnicode00 f -10 /S f -(=) 2492 1335 w -10 /LucidaSansUnicode00 f -10 /S f -(\354) 2611 1248 w -(\357) 2611 1348 w -(\356) 2611 1448 w -10 /LucidaSansUnicode00 f -(|) 2685 1447 w -(v) 2733 1430 w -7 /LucidaSansUnicode21 f -(\222) 2726 1380 w -10 /LucidaSansUnicode00 f -(|) 2785 1447 w -(x) 2713 1275 w -10 /S1 f -(_) 2671 1305 w -(__) 2717 1305 w -10 /LucidaSansUnicode00 f -(,) 2835 1335 w -(|) 2940 1447 w -(v) 2988 1430 w -7 /LucidaSansUnicode21 f -(\222) 2981 1380 w -10 /LucidaSansUnicode00 f -(|) 3040 1447 w -(y) 2972 1275 w -10 /S1 f -(_) 2925 1305 w -(__) 2971 1305 w -10 /LucidaSansUnicode00 f -(,) 3089 1335 w -(|) 3194 1447 w -(v) 3242 1430 w -7 /LucidaSansUnicode21 f -(\222) 3235 1380 w -10 /LucidaSansUnicode00 f -(|) 3294 1447 w -(z) 3224 1275 w -10 /S1 f -(_) 3180 1305 w -(__) 3226 1305 w -10 /S f -(\374) 3336 1248 w -(\357) 3336 1348 w -(\376) 3336 1448 w -10 /LucidaSans-Demi f -(2.3.) 720 1740 w -(Matrix) 962 1740 w -(Addition) 720 1980 w -9 /LucidaTypewriter f -(void) 920 2150 w -(addm\(Matrix) 1245 2150 w -(A,) 2025 2150 w -(Matrix) 2220 2150 w -(B\)) 2675 2150 w -10 /LucidaSansUnicode00 f -(\() 2393 2390 w -10 /LucidaSans-Demi f -(A) 2434 2390 w -10 /S f -(+) 2524 2390 w -10 /LucidaSans-Demi f -(B) 2595 2390 w -10 /LucidaSansUnicode00 f -(\)) 2666 2390 w -7 /LucidaSansUnicode00 f -(i) 2710 2410 w -(,) 2735 2410 w -(j) 2762 2410 w -10 /LucidaSansUnicode00 f -10 /S f -(=) 2847 2390 w -10 /LucidaSansUnicode00 f -10 /LucidaSans-Demi f -(A) 2958 2390 w -7 /LucidaSansUnicode00 f -(i) 3043 2410 w -(,) 3068 2410 w -(j) 3095 2410 w -10 /S f -(+) 3140 2390 w -10 /LucidaSans-Demi f -(B) 3211 2390 w -7 /LucidaSansUnicode00 f -(i) 3285 2410 w -(,) 3310 2410 w -(j) 3337 2410 w -10 /LucidaSans-Demi f -(Substraction) 720 2690 w -9 /LucidaTypewriter f -(void) 920 2860 w -(subm\(Matrix) 1245 2860 w -(A,) 2025 2860 w -(Matrix) 2220 2860 w -(B\)) 2675 2860 w -10 /LucidaSansUnicode00 f -(\() 2393 3100 w -10 /LucidaSans-Demi f -(A) 2434 3100 w -10 /S f -(-) 2524 3100 w -10 /LucidaSans-Demi f -(B) 2595 3100 w -10 /LucidaSansUnicode00 f -(\)) 2666 3100 w -7 /LucidaSansUnicode00 f -(i) 2710 3120 w -(,) 2735 3120 w -(j) 2762 3120 w -10 /LucidaSansUnicode00 f -10 /S f -(=) 2847 3100 w -10 /LucidaSansUnicode00 f -10 /LucidaSans-Demi f -(A) 2958 3100 w -7 /LucidaSansUnicode00 f -(i) 3043 3120 w -(,) 3068 3120 w -(j) 3095 3120 w -10 /S f -(-) 3140 3100 w -10 /LucidaSans-Demi f -(B) 3211 3100 w -7 /LucidaSansUnicode00 f -(i) 3285 3120 w -(,) 3310 3120 w -(j) 3337 3120 w -10 /LucidaSans-Demi f -(Multiplication) 720 3400 w -9 /LucidaTypewriter f -(void) 920 3570 w -(mulm\(Matrix) 1245 3570 w -(A,) 2025 3570 w -(Matrix) 2220 3570 w -(B\)) 2675 3570 w -10 /S f -(\351) 2370 3823 w -(\353) 2370 3923 w -10 /LucidaSans-Demi f -(AB) 2420 3870 w -10 /S f -(\371) 2557 3823 w -(\373) 2557 3923 w -7 /LucidaSansUnicode00 f -(i) 2606 3905 w -(,) 2631 3905 w -(j) 2658 3905 w -10 /LucidaSansUnicode00 f -10 /S f -(=) 2743 3860 w -10 /LucidaSansUnicode00 f -7 /LucidaSansUnicode00 f -(k) 2847 3960 w -7 /S f -(=) 2899 3960 w -7 /LucidaSansUnicode00 f -(0) 2949 3960 w -15 /S f -(S) 2876 3890 w -7 /LucidaSansUnicode00 f -(3) 2846 3760 w -7 /S f -(-) 2901 3760 w -7 /LucidaSansUnicode00 f -(1) 2951 3760 w -10 /LucidaSans-Demi f -(A) 3027 3860 w -7 /LucidaSansUnicode00 f -(i) 3112 3880 w -(,) 3137 3880 w -(k) 3164 3880 w -10 /LucidaSans-Demi f -(B) 3221 3860 w -7 /LucidaSansUnicode00 f -(k) 3295 3880 w -(,) 3341 3880 w -(j) 3368 3880 w -10 /LucidaSans-Demi f -(Transpose) 720 4240 w -9 /LucidaTypewriter f -(void) 920 4410 w -(transposem\(Matrix) 1245 4410 w -(M\)) 2415 4410 w -10 /LucidaSansUnicode00 f -(\() 2552 4650 w -10 /LucidaSans-Demi f -(M) 2593 4650 w -7 /LucidaSansUnicode00 f -(T) 2689 4610 w -10 /LucidaSansUnicode00 f -(\)) 2749 4650 w -7 /LucidaSansUnicode00 f -(i) 2793 4670 w -(,) 2818 4670 w -(j) 2845 4670 w -10 /LucidaSansUnicode00 f -10 /S f -(=) 2930 4650 w -10 /LucidaSansUnicode00 f -10 /LucidaSans-Demi f -(A) 3041 4650 w -7 /LucidaSansUnicode00 f -(j) 3126 4670 w -(,) 3152 4670 w -(i) 3179 4670 w -10 /LucidaSans-Demi f -(Identity) 720 4950 w -9 /LucidaTypewriter f -(void) 920 5120 w -(identity\(Matrix) 1245 5120 w -(M\)) 2285 5120 w -10 /LucidaSans-Demi f -(M) 2560 5495 w -10 /LucidaSansUnicode00 f -10 /S f -(=) 2707 5495 w -10 /LucidaSansUnicode00 f -10 /S f -(\351) 2826 5358 w -(\357) 2826 5458 w -(\357) 2826 5558 w -(\353) 2826 5658 w -10 /LucidaSansUnicode00 f -(0) 2876 5645 w -(0) 2987 5645 w -(1) 3098 5645 w -(0) 2876 5505 w -(1) 2987 5505 w -(0) 3098 5505 w -(1) 2876 5365 w -(0) 2987 5365 w -(0) 3098 5365 w -10 /S f -(\371) 3161 5358 w -(\357) 3161 5458 w -(\357) 3161 5558 w -(\373) 3161 5658 w -10 /LucidaSans-Demi f -(Determinant) 720 5950 w -9 /LucidaTypewriter f -(double) 920 6120 w -(detm\(Matrix) 1375 6120 w -(M\)) 2155 6120 w -10 /LucidaSansUnicode00 f -(det) 1992 6500 w -(\() 2156 6500 w -10 /LucidaSans-Demi f -(M) 2197 6500 w -10 /LucidaSansUnicode00 f -(\)) 2296 6500 w -10 /S f -(=) 2393 6500 w -10 /LucidaSansUnicode00 f -(m) 2504 6660 w -7 /LucidaSansUnicode00 f -(02) 2608 6680 w -10 /LucidaSansUnicode00 f -(\() 2712 6660 w -(m) 2753 6660 w -7 /LucidaSansUnicode00 f -(10) 2857 6680 w -10 /LucidaSansUnicode00 f -(m) 2961 6660 w -7 /LucidaSansUnicode00 f -(21) 3065 6680 w -10 /S f -(-) 3177 6660 w -10 /LucidaSansUnicode00 f -(m) 3248 6660 w -7 /LucidaSansUnicode00 f -(11) 3352 6680 w -10 /LucidaSansUnicode00 f -(m) 3456 6660 w -7 /LucidaSansUnicode00 f -(20) 3560 6680 w -10 /LucidaSansUnicode00 f -(\)) 3664 6660 w -(m) 2504 6500 w -7 /LucidaSansUnicode00 f -(01) 2608 6520 w -10 /LucidaSansUnicode00 f -(\() 2712 6500 w -(m) 2753 6500 w -7 /LucidaSansUnicode00 f -(12) 2857 6520 w -10 /LucidaSansUnicode00 f -(m) 2961 6500 w -7 /LucidaSansUnicode00 f -(20) 3065 6520 w -10 /S f -(-) 3177 6500 w -10 /LucidaSansUnicode00 f -(m) 3248 6500 w -7 /LucidaSansUnicode00 f -(10) 3352 6520 w -10 /LucidaSansUnicode00 f -(m) 3456 6500 w -7 /LucidaSansUnicode00 f -(22) 3560 6520 w -10 /LucidaSansUnicode00 f -(\)) 3664 6500 w -10 /S f -(+) 3713 6500 w -10 /LucidaSansUnicode00 f -(m) 2504 6340 w -7 /LucidaSansUnicode00 f -(00) 2608 6360 w -10 /LucidaSansUnicode00 f -(\() 2712 6340 w -(m) 2753 6340 w -7 /LucidaSansUnicode00 f -(11) 2857 6360 w -10 /LucidaSansUnicode00 f -(m) 2961 6340 w -7 /LucidaSansUnicode00 f -(22) 3065 6360 w -10 /S f -(-) 3177 6340 w -10 /LucidaSansUnicode00 f -(m) 3248 6340 w -7 /LucidaSansUnicode00 f -(12) 3352 6360 w -10 /LucidaSansUnicode00 f -(m) 3456 6340 w -7 /LucidaSansUnicode00 f -(21) 3560 6360 w -10 /LucidaSansUnicode00 f -(\)) 3664 6340 w -10 /S f -(+) 3713 6340 w -cleartomark -showpage -saveobj restore -%%EndPage: 4 4 -%%Page: 5 5 -/saveobj save def -mark -5 pagesetup -10 /LucidaSansUnicode00 f -(\255 5 \255) 2783 480 w -10 /LucidaSans-Demi f -(2.4.) 720 840 w -(Matrix3) 962 840 w -(Addition) 720 1080 w -9 /LucidaTypewriter f -(void) 920 1250 w -(addm3\(Matrix3) 1245 1250 w -(A,) 2155 1250 w -(Matrix3) 2350 1250 w -(B\)) 2870 1250 w -10 /LucidaSansUnicode00 f -(\() 2393 1490 w -10 /LucidaSans-Demi f -(A) 2434 1490 w -10 /S f -(+) 2524 1490 w -10 /LucidaSans-Demi f -(B) 2595 1490 w -10 /LucidaSansUnicode00 f -(\)) 2666 1490 w -7 /LucidaSansUnicode00 f -(i) 2710 1510 w -(,) 2735 1510 w -(j) 2762 1510 w -10 /LucidaSansUnicode00 f -10 /S f -(=) 2847 1490 w -10 /LucidaSansUnicode00 f -10 /LucidaSans-Demi f -(A) 2958 1490 w -7 /LucidaSansUnicode00 f -(i) 3043 1510 w -(,) 3068 1510 w -(j) 3095 1510 w -10 /S f -(+) 3140 1490 w -10 /LucidaSans-Demi f -(B) 3211 1490 w -7 /LucidaSansUnicode00 f -(i) 3285 1510 w -(,) 3310 1510 w -(j) 3337 1510 w -10 /LucidaSans-Demi f -(Substraction) 720 1790 w -9 /LucidaTypewriter f -(void) 920 1960 w -(subm3\(Matrix3) 1245 1960 w -(A,) 2155 1960 w -(Matrix3) 2350 1960 w -(B\)) 2870 1960 w -10 /LucidaSansUnicode00 f -(\() 2393 2200 w -10 /LucidaSans-Demi f -(A) 2434 2200 w -10 /S f -(-) 2524 2200 w -10 /LucidaSans-Demi f -(B) 2595 2200 w -10 /LucidaSansUnicode00 f -(\)) 2666 2200 w -7 /LucidaSansUnicode00 f -(i) 2710 2220 w -(,) 2735 2220 w -(j) 2762 2220 w -10 /LucidaSansUnicode00 f -10 /S f -(=) 2847 2200 w -10 /LucidaSansUnicode00 f -10 /LucidaSans-Demi f -(A) 2958 2200 w -7 /LucidaSansUnicode00 f -(i) 3043 2220 w -(,) 3068 2220 w -(j) 3095 2220 w -10 /S f -(-) 3140 2200 w -10 /LucidaSans-Demi f -(B) 3211 2200 w -7 /LucidaSansUnicode00 f -(i) 3285 2220 w -(,) 3310 2220 w -(j) 3337 2220 w -10 /LucidaSans-Demi f -(Multiplication) 720 2500 w -9 /LucidaTypewriter f -(void) 920 2670 w -(mulm3\(Matrix3) 1245 2670 w -(A,) 2155 2670 w -(Matrix3) 2350 2670 w -(B\)) 2870 2670 w -10 /S f -(\351) 2374 2923 w -(\353) 2374 3023 w -10 /LucidaSans-Demi f -(AB) 2424 2970 w -10 /S f -(\371) 2561 2923 w -(\373) 2561 3023 w -7 /LucidaSansUnicode00 f -(i) 2610 3005 w -(,) 2635 3005 w -(j) 2662 3005 w -10 /LucidaSansUnicode00 f -10 /S f -(=) 2747 2960 w -10 /LucidaSansUnicode00 f -7 /LucidaSansUnicode00 f -(k) 2859 3060 w -7 /S f -(=) 2911 3060 w -7 /LucidaSansUnicode00 f -(0) 2961 3060 w -15 /S f -(S) 2888 2990 w -7 /LucidaSansUnicode00 f -(4) 2858 2860 w -7 /S f -(-) 2913 2860 w -7 /LucidaSansUnicode00 f -(1) 2963 2860 w -10 /LucidaSans-Demi f -(A) 3023 2960 w -7 /LucidaSansUnicode00 f -(i) 3108 2980 w -(,) 3133 2980 w -(k) 3160 2980 w -10 /LucidaSans-Demi f -(B) 3217 2960 w -7 /LucidaSansUnicode00 f -(k) 3291 2980 w -(,) 3337 2980 w -(j) 3364 2980 w -10 /LucidaSans-Demi f -(Transpose) 720 3340 w -9 /LucidaTypewriter f -(void) 920 3510 w -(transposem3\(Matrix3) 1245 3510 w -(M\)) 2545 3510 w -10 /LucidaSansUnicode00 f -(\() 2552 3750 w -10 /LucidaSans-Demi f -(M) 2593 3750 w -7 /LucidaSansUnicode00 f -(T) 2689 3710 w -10 /LucidaSansUnicode00 f -(\)) 2749 3750 w -7 /LucidaSansUnicode00 f -(i) 2793 3770 w -(,) 2818 3770 w -(j) 2845 3770 w -10 /LucidaSansUnicode00 f -10 /S f -(=) 2930 3750 w -10 /LucidaSansUnicode00 f -10 /LucidaSans-Demi f -(A) 3041 3750 w -7 /LucidaSansUnicode00 f -(j) 3126 3770 w -(,) 3152 3770 w -(i) 3179 3770 w -10 /LucidaSans-Demi f -(Identity) 720 4050 w -9 /LucidaTypewriter f -(void) 920 4220 w -(identity3\(Matrix3) 1245 4220 w -(M\)) 2415 4220 w -10 /LucidaSans-Demi f -(M) 2505 4695 w -10 /LucidaSansUnicode00 f -10 /S f -(=) 2652 4695 w -10 /LucidaSansUnicode00 f -10 /S f -(\351) 2771 4458 w -(\357) 2771 4558 w -(\357) 2771 4658 w -(\357) 2771 4758 w -(\357) 2771 4858 w -(\353) 2771 4958 w -10 /LucidaSansUnicode00 f -(0) 2821 4915 w -(0) 2932 4915 w -(0) 3043 4915 w -(1) 3154 4915 w -(0) 2821 4775 w -(0) 2932 4775 w -(1) 3043 4775 w -(0) 3154 4775 w -(0) 2821 4635 w -(1) 2932 4635 w -(0) 3043 4635 w -(0) 3154 4635 w -(1) 2821 4495 w -(0) 2932 4495 w -(0) 3043 4495 w -(0) 3154 4495 w -10 /S f -(\371) 3217 4458 w -(\357) 3217 4558 w -(\357) 3217 4658 w -(\357) 3217 4758 w -(\357) 3217 4858 w -(\373) 3217 4958 w -10 /LucidaSans-Demi f -(Determinant) 720 5250 w -9 /LucidaTypewriter f -(double) 920 5420 w -(detm3\(Matrix3) 1375 5420 w -(M\)) 2285 5420 w -10 /LucidaSansUnicode00 f -(det) 567 5910 w -(\() 731 5910 w -10 /LucidaSans-Demi f -(M) 772 5910 w -10 /LucidaSansUnicode00 f -(\)) 871 5910 w -10 /S f -(=) 968 5910 w -10 /LucidaSansUnicode00 f -10 /S f -(-) 1079 6120 w -10 /LucidaSansUnicode00 f -(m) 1150 6120 w -7 /LucidaSansUnicode00 f -(03) 1254 6140 w -10 /LucidaSansUnicode00 f -(\() 1358 6120 w -(m) 1399 6120 w -7 /LucidaSansUnicode00 f -(10) 1503 6140 w -10 /LucidaSansUnicode00 f -(\() 1607 6120 w -(m) 1648 6120 w -7 /LucidaSansUnicode00 f -(21) 1752 6140 w -10 /LucidaSansUnicode00 f -(m) 1856 6120 w -7 /LucidaSansUnicode00 f -(32) 1960 6140 w -10 /S f -(-) 2072 6120 w -10 /LucidaSansUnicode00 f -(m) 2143 6120 w -7 /LucidaSansUnicode00 f -(22) 2247 6140 w -10 /LucidaSansUnicode00 f -(m) 2351 6120 w -7 /LucidaSansUnicode00 f -(31) 2455 6140 w -10 /LucidaSansUnicode00 f -(\)) 2559 6120 w -10 /S f -(+) 2608 6120 w -10 /LucidaSansUnicode00 f -(m) 2679 6120 w -7 /LucidaSansUnicode00 f -(11) 2783 6140 w -10 /LucidaSansUnicode00 f -(\() 2887 6120 w -(m) 2928 6120 w -7 /LucidaSansUnicode00 f -(22) 3032 6140 w -10 /LucidaSansUnicode00 f -(m) 3136 6120 w -7 /LucidaSansUnicode00 f -(30) 3240 6140 w -10 /S f -(-) 3352 6120 w -10 /LucidaSansUnicode00 f -(m) 3423 6120 w -7 /LucidaSansUnicode00 f -(20) 3527 6140 w -10 /LucidaSansUnicode00 f -(m) 3631 6120 w -7 /LucidaSansUnicode00 f -(32) 3735 6140 w -10 /LucidaSansUnicode00 f -(\)) 3839 6120 w -10 /S f -(+) 3888 6120 w -10 /LucidaSansUnicode00 f -(m) 3959 6120 w -7 /LucidaSansUnicode00 f -(12) 4063 6140 w -10 /LucidaSansUnicode00 f -(\() 4167 6120 w -(m) 4208 6120 w -7 /LucidaSansUnicode00 f -(20) 4312 6140 w -10 /LucidaSansUnicode00 f -(m) 4416 6120 w -7 /LucidaSansUnicode00 f -(31) 4520 6140 w -10 /S f -(-) 4632 6120 w -10 /LucidaSansUnicode00 f -(m) 4703 6120 w -7 /LucidaSansUnicode00 f -(21) 4807 6140 w -10 /LucidaSansUnicode00 f -(m) 4911 6120 w -7 /LucidaSansUnicode00 f -(30) 5015 6140 w -10 /LucidaSansUnicode00 f -(\)) 5119 6120 w -(\)) 5160 6120 w -10 /S f -(+) 1079 5960 w -10 /LucidaSansUnicode00 f -(m) 1150 5960 w -7 /LucidaSansUnicode00 f -(02) 1254 5980 w -10 /LucidaSansUnicode00 f -(\() 1358 5960 w -(m) 1399 5960 w -7 /LucidaSansUnicode00 f -(10) 1503 5980 w -10 /LucidaSansUnicode00 f -(\() 1607 5960 w -(m) 1648 5960 w -7 /LucidaSansUnicode00 f -(21) 1752 5980 w -10 /LucidaSansUnicode00 f -(m) 1856 5960 w -7 /LucidaSansUnicode00 f -(33) 1960 5980 w -10 /S f -(-) 2072 5960 w -10 /LucidaSansUnicode00 f -(m) 2143 5960 w -7 /LucidaSansUnicode00 f -(23) 2247 5980 w -10 /LucidaSansUnicode00 f -(m) 2351 5960 w -7 /LucidaSansUnicode00 f -(31) 2455 5980 w -10 /LucidaSansUnicode00 f -(\)) 2559 5960 w -10 /S f -(+) 2608 5960 w -10 /LucidaSansUnicode00 f -(m) 2679 5960 w -7 /LucidaSansUnicode00 f -(11) 2783 5980 w -10 /LucidaSansUnicode00 f -(\() 2887 5960 w -(m) 2928 5960 w -7 /LucidaSansUnicode00 f -(23) 3032 5980 w -10 /LucidaSansUnicode00 f -(m) 3136 5960 w -7 /LucidaSansUnicode00 f -(30) 3240 5980 w -10 /S f -(-) 3352 5960 w -10 /LucidaSansUnicode00 f -(m) 3423 5960 w -7 /LucidaSansUnicode00 f -(20) 3527 5980 w -10 /LucidaSansUnicode00 f -(m) 3631 5960 w -7 /LucidaSansUnicode00 f -(33) 3735 5980 w -10 /LucidaSansUnicode00 f -(\)) 3839 5960 w -10 /S f -(+) 3888 5960 w -10 /LucidaSansUnicode00 f -(m) 3959 5960 w -7 /LucidaSansUnicode00 f -(13) 4063 5980 w -10 /LucidaSansUnicode00 f -(\() 4167 5960 w -(m) 4208 5960 w -7 /LucidaSansUnicode00 f -(20) 4312 5980 w -10 /LucidaSansUnicode00 f -(m) 4416 5960 w -7 /LucidaSansUnicode00 f -(31) 4520 5980 w -10 /S f -(-) 4632 5960 w -10 /LucidaSansUnicode00 f -(m) 4703 5960 w -7 /LucidaSansUnicode00 f -(21) 4807 5980 w -10 /LucidaSansUnicode00 f -(m) 4911 5960 w -7 /LucidaSansUnicode00 f -(30) 5015 5980 w -10 /LucidaSansUnicode00 f -(\)) 5119 5960 w -(\)) 5160 5960 w -10 /S f -(-) 1079 5800 w -10 /LucidaSansUnicode00 f -(m) 1150 5800 w -7 /LucidaSansUnicode00 f -(01) 1254 5820 w -10 /LucidaSansUnicode00 f -(\() 1358 5800 w -(m) 1399 5800 w -7 /LucidaSansUnicode00 f -(10) 1503 5820 w -10 /LucidaSansUnicode00 f -(\() 1607 5800 w -(m) 1648 5800 w -7 /LucidaSansUnicode00 f -(22) 1752 5820 w -10 /LucidaSansUnicode00 f -(m) 1856 5800 w -7 /LucidaSansUnicode00 f -(33) 1960 5820 w -10 /S f -(-) 2072 5800 w -10 /LucidaSansUnicode00 f -(m) 2143 5800 w -7 /LucidaSansUnicode00 f -(23) 2247 5820 w -10 /LucidaSansUnicode00 f -(m) 2351 5800 w -7 /LucidaSansUnicode00 f -(32) 2455 5820 w -10 /LucidaSansUnicode00 f -(\)) 2559 5800 w -10 /S f -(+) 2608 5800 w -10 /LucidaSansUnicode00 f -(m) 2679 5800 w -7 /LucidaSansUnicode00 f -(12) 2783 5820 w -10 /LucidaSansUnicode00 f -(\() 2887 5800 w -(m) 2928 5800 w -7 /LucidaSansUnicode00 f -(23) 3032 5820 w -10 /LucidaSansUnicode00 f -(m) 3136 5800 w -7 /LucidaSansUnicode00 f -(30) 3240 5820 w -10 /S f -(-) 3352 5800 w -10 /LucidaSansUnicode00 f -(m) 3423 5800 w -7 /LucidaSansUnicode00 f -(20) 3527 5820 w -10 /LucidaSansUnicode00 f -(m) 3631 5800 w -7 /LucidaSansUnicode00 f -(33) 3735 5820 w -10 /LucidaSansUnicode00 f -(\)) 3839 5800 w -10 /S f -(+) 3888 5800 w -10 /LucidaSansUnicode00 f -(m) 3959 5800 w -7 /LucidaSansUnicode00 f -(13) 4063 5820 w -10 /LucidaSansUnicode00 f -(\() 4167 5800 w -(m) 4208 5800 w -7 /LucidaSansUnicode00 f -(20) 4312 5820 w -10 /LucidaSansUnicode00 f -(m) 4416 5800 w -7 /LucidaSansUnicode00 f -(32) 4520 5820 w -10 /S f -(-) 4632 5800 w -10 /LucidaSansUnicode00 f -(m) 4703 5800 w -7 /LucidaSansUnicode00 f -(22) 4807 5820 w -10 /LucidaSansUnicode00 f -(m) 4911 5800 w -7 /LucidaSansUnicode00 f -(30) 5015 5820 w -10 /LucidaSansUnicode00 f -(\)) 5119 5800 w -(\)) 5160 5800 w -(m) 1150 5640 w -7 /LucidaSansUnicode00 f -(00) 1254 5660 w -10 /LucidaSansUnicode00 f -(\() 1358 5640 w -(m) 1399 5640 w -7 /LucidaSansUnicode00 f -(11) 1503 5660 w -10 /LucidaSansUnicode00 f -(\() 1607 5640 w -(m) 1648 5640 w -7 /LucidaSansUnicode00 f -(22) 1752 5660 w -10 /LucidaSansUnicode00 f -(m) 1856 5640 w -7 /LucidaSansUnicode00 f -(33) 1960 5660 w -10 /S f -(-) 2072 5640 w -10 /LucidaSansUnicode00 f -(m) 2143 5640 w -7 /LucidaSansUnicode00 f -(23) 2247 5660 w -10 /LucidaSansUnicode00 f -(m) 2351 5640 w -7 /LucidaSansUnicode00 f -(32) 2455 5660 w -10 /LucidaSansUnicode00 f -(\)) 2559 5640 w -10 /S f -(+) 2608 5640 w -10 /LucidaSansUnicode00 f -(m) 2679 5640 w -7 /LucidaSansUnicode00 f -(12) 2783 5660 w -10 /LucidaSansUnicode00 f -(\() 2887 5640 w -(m) 2928 5640 w -7 /LucidaSansUnicode00 f -(23) 3032 5660 w -10 /LucidaSansUnicode00 f -(m) 3136 5640 w -7 /LucidaSansUnicode00 f -(31) 3240 5660 w -10 /S f -(-) 3352 5640 w -10 /LucidaSansUnicode00 f -(m) 3423 5640 w -7 /LucidaSansUnicode00 f -(21) 3527 5660 w -10 /LucidaSansUnicode00 f -(m) 3631 5640 w -7 /LucidaSansUnicode00 f -(33) 3735 5660 w -10 /LucidaSansUnicode00 f -(\)) 3839 5640 w -10 /S f -(+) 3888 5640 w -10 /LucidaSansUnicode00 f -(m) 3959 5640 w -7 /LucidaSansUnicode00 f -(13) 4063 5660 w -10 /LucidaSansUnicode00 f -(\() 4167 5640 w -(m) 4208 5640 w -7 /LucidaSansUnicode00 f -(21) 4312 5660 w -10 /LucidaSansUnicode00 f -(m) 4416 5640 w -7 /LucidaSansUnicode00 f -(32) 4520 5660 w -10 /S f -(-) 4632 5640 w -10 /LucidaSansUnicode00 f -(m) 4703 5640 w -7 /LucidaSansUnicode00 f -(22) 4807 5660 w -10 /LucidaSansUnicode00 f -(m) 4911 5640 w -7 /LucidaSansUnicode00 f -(31) 5015 5660 w -10 /LucidaSansUnicode00 f -(\)) 5119 5640 w -(\)) 5160 5640 w -10 /LucidaSans-Demi f -(2.5.) 720 6420 w -(Quaternion) 962 6420 w -(Addition) 720 6660 w -9 /LucidaTypewriter f -(Quaternion) 920 6830 w -(addq\(Quaternion) 1635 6830 w -(q,) 2675 6830 w -(Quaternion) 2870 6830 w -(r\)) 3585 6830 w -10 /LucidaSansUnicode00 f -(q) 1974 7070 w -10 /S f -(+) 2053 7070 w -10 /LucidaSansUnicode00 f -(r) 2124 7070 w -10 /S f -(=) 2221 7070 w -10 /LucidaSansUnicode00 f -(\() 2332 7070 w -(r) 2373 7070 w -7 /LucidaSansUnicode00 f -(q) 2425 7090 w -10 /S f -(+) 2493 7070 w -10 /LucidaSansUnicode00 f -(r) 2564 7070 w -7 /LucidaSansUnicode00 f -(r) 2616 7090 w -10 /LucidaSansUnicode00 f -(,) 2661 7070 w -(i) 2741 7070 w -7 /LucidaSansUnicode00 f -(q) 2781 7090 w -10 /S f -(+) 2849 7070 w -10 /LucidaSansUnicode00 f -(i) 2920 7070 w -7 /LucidaSansUnicode00 f -(r) 2960 7090 w -10 /LucidaSansUnicode00 f -(,) 3005 7070 w -(j) 3085 7070 w -7 /LucidaSansUnicode00 f -(q) 3126 7090 w -10 /S f -(+) 3194 7070 w -10 /LucidaSansUnicode00 f -(j) 3265 7070 w -7 /LucidaSansUnicode00 f -(r) 3306 7090 w -10 /LucidaSansUnicode00 f -(,) 3351 7070 w -(k) 3431 7070 w -7 /LucidaSansUnicode00 f -(q) 3500 7090 w -10 /S f -(+) 3568 7070 w -10 /LucidaSansUnicode00 f -(k) 3639 7070 w -7 /LucidaSansUnicode00 f -(r) 3708 7090 w -10 /LucidaSansUnicode00 f -(\)) 3753 7070 w -cleartomark -showpage -saveobj restore -%%EndPage: 5 5 -%%Page: 6 6 -/saveobj save def -mark -6 pagesetup -10 /LucidaSansUnicode00 f -(\255 6 \255) 2783 480 w -10 /LucidaSans-Demi f -(Substraction) 720 840 w -9 /LucidaTypewriter f -(Quaternion) 920 1010 w -(subq\(Quaternion) 1635 1010 w -(q,) 2675 1010 w -(Quaternion) 2870 1010 w -(r\)) 3585 1010 w -10 /LucidaSansUnicode00 f -(q) 1974 1250 w -10 /S f -(-) 2053 1250 w -10 /LucidaSansUnicode00 f -(r) 2124 1250 w -10 /S f -(=) 2221 1250 w -10 /LucidaSansUnicode00 f -(\() 2332 1250 w -(r) 2373 1250 w -7 /LucidaSansUnicode00 f -(q) 2425 1270 w -10 /S f -(-) 2493 1250 w -10 /LucidaSansUnicode00 f -(r) 2564 1250 w -7 /LucidaSansUnicode00 f -(r) 2616 1270 w -10 /LucidaSansUnicode00 f -(,) 2661 1250 w -(i) 2741 1250 w -7 /LucidaSansUnicode00 f -(q) 2781 1270 w -10 /S f -(-) 2849 1250 w -10 /LucidaSansUnicode00 f -(i) 2920 1250 w -7 /LucidaSansUnicode00 f -(r) 2960 1270 w -10 /LucidaSansUnicode00 f -(,) 3005 1250 w -(j) 3085 1250 w -7 /LucidaSansUnicode00 f -(q) 3126 1270 w -10 /S f -(-) 3194 1250 w -10 /LucidaSansUnicode00 f -(j) 3265 1250 w -7 /LucidaSansUnicode00 f -(r) 3306 1270 w -10 /LucidaSansUnicode00 f -(,) 3351 1250 w -(k) 3431 1250 w -7 /LucidaSansUnicode00 f -(q) 3500 1270 w -10 /S f -(-) 3568 1250 w -10 /LucidaSansUnicode00 f -(k) 3639 1250 w -7 /LucidaSansUnicode00 f -(r) 3708 1270 w -10 /LucidaSansUnicode00 f -(\)) 3753 1250 w -10 /LucidaSans-Demi f -(Multiplication) 720 1550 w -9 /LucidaTypewriter f -(Quaternion) 920 1720 w -(mulq\(Quaternion) 1635 1720 w -(q,) 2675 1720 w -(Quaternion) 2870 1720 w -(r\)) 3585 1720 w -10 /LucidaSansUnicode00 f -(q) 1321 1965 w -10 /S f -(=) 1440 1965 w -10 /LucidaSansUnicode00 f -([) 1551 1965 w -(r) 1592 1965 w -7 /LucidaSansUnicode00 f -(q) 1644 1985 w -10 /LucidaSansUnicode00 f -(,) 1704 1965 w -(v) 1784 1965 w -7 /LucidaSansUnicode21 f -(\222) 1777 1915 w -7 /LucidaSansUnicode00 f -(q) 1847 1985 w -10 /LucidaSansUnicode00 f -(]) 1907 1965 w -(r) 1956 1965 w -10 /S f -(=) 2053 1965 w -10 /LucidaSansUnicode00 f -([) 2164 1965 w -(r) 2205 1965 w -7 /LucidaSansUnicode00 f -(r) 2257 1985 w -10 /LucidaSansUnicode00 f -(,) 2302 1965 w -(v) 2382 1965 w -7 /LucidaSansUnicode21 f -(\222) 2375 1915 w -7 /LucidaSansUnicode00 f -(r) 2445 1985 w -10 /LucidaSansUnicode00 f -(]) 2490 1965 w -(qr) 2539 1965 w -10 /S f -(=) 2699 1965 w -10 /LucidaSansUnicode00 f -([) 2810 1965 w -(r) 2851 1965 w -7 /LucidaSansUnicode00 f -(q) 2903 1985 w -10 /LucidaSansUnicode00 f -(r) 2963 1965 w -7 /LucidaSansUnicode00 f -(r) 3015 1985 w -10 /S f -(-) 3068 1965 w -10 /LucidaSansUnicode00 f -(v) 3139 1965 w -7 /LucidaSansUnicode21 f -(\222) 3132 1915 w -7 /LucidaSansUnicode00 f -(q) 3202 1985 w -10 /LucidaSansUnicode20 f -(") 3262 1965 w -10 /LucidaSansUnicode00 f -(v) 3326 1965 w -7 /LucidaSansUnicode21 f -(\222) 3319 1915 w -7 /LucidaSansUnicode00 f -(r) 3389 1985 w -10 /LucidaSansUnicode00 f -(,) 3434 1965 w -(v) 3514 1965 w -7 /LucidaSansUnicode21 f -(\222) 3507 1915 w -7 /LucidaSansUnicode00 f -(r) 3577 1985 w -10 /LucidaSansUnicode00 f -(r) 3622 1965 w -7 /LucidaSansUnicode00 f -(q) 3674 1985 w -10 /S f -(+) 3742 1965 w -10 /LucidaSansUnicode00 f -(v) 3813 1965 w -7 /LucidaSansUnicode21 f -(\222) 3806 1915 w -7 /LucidaSansUnicode00 f -(q) 3876 1985 w -10 /LucidaSansUnicode00 f -(r) 3936 1965 w -7 /LucidaSansUnicode00 f -(r) 3988 1985 w -10 /S f -(+) 4041 1965 w -10 /LucidaSansUnicode00 f -(v) 4112 1965 w -7 /LucidaSansUnicode21 f -(\222) 4105 1915 w -7 /LucidaSansUnicode00 f -(q) 4175 1985 w -10 /LucidaSansUnicode00 f -(Xv) 4235 1965 w -7 /LucidaSansUnicode21 f -(\222) 4291 1915 w -7 /LucidaSansUnicode00 f -(r) 4361 1985 w -10 /LucidaSansUnicode00 f -(]) 4406 1965 w -10 /LucidaSans-Demi f -(Scalar Multiplication) 720 2265 w -9 /LucidaTypewriter f -(Quaternion) 920 2435 w -(smulq\(Quaternion) 1635 2435 w -(q,) 2740 2435 w -(double) 2935 2435 w -(s\)) 3390 2435 w -10 /LucidaSansUnicode00 f -(qs) 2243 2675 w -10 /S f -(=) 2413 2675 w -10 /LucidaSansUnicode00 f -([) 2524 2675 w -(r) 2565 2675 w -7 /LucidaSansUnicode00 f -(q) 2617 2695 w -10 /LucidaSansUnicode00 f -(s) 2677 2675 w -(,) 2736 2675 w -(i) 2816 2675 w -7 /LucidaSansUnicode00 f -(q) 2856 2695 w -10 /LucidaSansUnicode00 f -(s) 2916 2675 w -(,) 2975 2675 w -(j) 3055 2675 w -7 /LucidaSansUnicode00 f -(q) 3096 2695 w -10 /LucidaSansUnicode00 f -(s) 3156 2675 w -(,) 3215 2675 w -(k) 3295 2675 w -7 /LucidaSansUnicode00 f -(q) 3364 2695 w -10 /LucidaSansUnicode00 f -(s) 3424 2675 w -(]) 3483 2675 w -10 /LucidaSans-Demi f -(Inverse) 720 2975 w -9 /LucidaTypewriter f -(Quaternion) 920 3145 w -(invq\(Quaternion) 1635 3145 w -(q\)) 2675 3145 w -10 /LucidaSansUnicode00 f -(q) 2009 3470 w -7 /S f -(-) 2083 3430 w -7 /LucidaSansUnicode00 f -(1) 2133 3430 w -10 /LucidaSansUnicode00 f -10 /S f -(=) 2241 3470 w -10 /LucidaSansUnicode00 f -10 /S f -(\354) 2360 3383 w -(\357) 2360 3483 w -(\356) 2360 3583 w -10 /LucidaSansUnicode00 f -(|) 2434 3567 w -(q) 2482 3550 w -(|) 2545 3567 w -7 /LucidaSansUnicode00 f -(2) 2583 3510 w -10 /LucidaSansUnicode00 f -(r) 2514 3410 w -10 /S1 f -(_) 2419 3440 w -(____) 2450 3440 w -10 /LucidaSansUnicode00 f -(,) 2668 3470 w -(|) 2781 3567 w -(q) 2829 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-(=) 2544 4303 w -10 /LucidaSansUnicode00 f -12 /LucidaSansUnicode22 f -(\032) 2655 4303 w -12 /S f -(`) 2752 4303 w -(```````````) 2755 4303 w -10 /LucidaSansUnicode00 f -(r) 2760 4303 w -7 /LucidaSansUnicode00 f -(2) 2806 4263 w -10 /S f -(+) 2874 4303 w -10 /LucidaSansUnicode00 f -(i) 2945 4303 w -7 /LucidaSansUnicode00 f -(2) 2979 4263 w -10 /S f -(+) 3047 4303 w -10 /LucidaSansUnicode00 f -(j) 3118 4303 w -7 /LucidaSansUnicode00 f -(2) 3153 4263 w -10 /S f -(+) 3221 4303 w -10 /LucidaSansUnicode00 f -(k) 3292 4303 w -7 /LucidaSansUnicode00 f -(2) 3355 4263 w -cleartomark -showpage -saveobj restore -%%EndPage: 6 6 -%%Trailer -done -%%DocumentFonts: LucidaSansUnicode20 LucidaSansUnicode21 LucidaSansUnicode22 S1 S LucidaSansUnicode00 LucidaSans-Demi LucidaSans-Italic LucidaTypewriter -%%Pages: 6 diff --git a/libgeometry/doc/mkfile b/libgeometry/doc/mkfile deleted file mode 100644 index 8fb6d1c..0000000 --- a/libgeometry/doc/mkfile +++ /dev/null @@ -1,15 +0,0 @@ -FONTS='.FP lucidasans' -DOCNAME=libgeometry - -all:VQ: $DOCNAME.ps $DOCNAME.pdf - -clean:VQ: - rm -f $DOCNAME.ps $DOCNAME.pdf - -$DOCNAME.ps:V: $DOCNAME.ms - {echo $FONTS; cat $prereq}> _$prereq - eval `{doctype _$prereq} | lp -dstdout > $target && rm -f _$prereq - -$DOCNAME.pdf:V: $DOCNAME.ps - cat /sys/doc/docfonts $prereq > _$prereq - ps2pdf _$prereq $target && rm -f _$prereq diff --git a/libgeometry/matrix.c b/libgeometry/matrix.c deleted file mode 100644 index b7efc84..0000000 --- a/libgeometry/matrix.c +++ /dev/null @@ -1,348 +0,0 @@ -#include -#include -#include "../geometry.h" - -/* 2D */ - -void -identity(Matrix m) -{ - memset(m, 0, 3*3*sizeof(double)); - m[0][0] = m[1][1] = m[2][2] = 1; -} - -void -addm(Matrix a, Matrix b) -{ - int i, j; - - for(i = 0; i < 3; i++) - for(j = 0; j < 3; j++) - a[i][j] += b[i][j]; -} - -void -subm(Matrix a, Matrix b) -{ - int i, j; - - for(i = 0; i < 3; i++) - for(j = 0; j < 3; j++) - a[i][j] -= b[i][j]; -} - -void -mulm(Matrix a, Matrix b) -{ - int i, j, k; - Matrix tmp; - - for(i = 0; i < 3; i++) - for(j = 0; j < 3; j++){ - tmp[i][j] = 0; - for(k = 0; k < 3; k++) - tmp[i][j] += a[i][k]*b[k][j]; - } - memmove(a, tmp, 3*3*sizeof(double)); -} - -void -smulm(Matrix m, double s) -{ - int i, j; - - for(i = 0; i < 3; i++) - for(j = 0; j < 3; j++) - m[i][j] *= s; -} - -void -transposem(Matrix m) -{ - int i, j; - double tmp; - - for(i = 0; i < 3; i++) - for(j = i; j < 3; j++){ - tmp = m[i][j]; - m[i][j] = m[j][i]; - m[j][i] = tmp; - } -} - -double -detm(Matrix m) -{ - return m[0][0]*(m[1][1]*m[2][2] - m[1][2]*m[2][1])+ - m[0][1]*(m[1][2]*m[2][0] - m[1][0]*m[2][2])+ - m[0][2]*(m[1][0]*m[2][1] - m[1][1]*m[2][0]); -} - -double -tracem(Matrix m) -{ - return m[0][0] + m[1][1] + m[2][2]; -} - -void -adjm(Matrix m) -{ - Matrix tmp; - - tmp[0][0] = m[1][1]*m[2][2] - m[1][2]*m[2][1]; - tmp[0][1] = -m[0][1]*m[2][2] + m[0][2]*m[2][1]; - tmp[0][2] = m[0][1]*m[1][2] - m[0][2]*m[1][1]; - tmp[1][0] = -m[1][0]*m[2][2] + m[1][2]*m[2][0]; - tmp[1][1] = m[0][0]*m[2][2] - m[0][2]*m[2][0]; - tmp[1][2] = -m[0][0]*m[1][2] + m[0][2]*m[1][0]; - tmp[2][0] = m[1][0]*m[2][1] - m[1][1]*m[2][0]; - tmp[2][1] = -m[0][0]*m[2][1] + m[0][1]*m[2][0]; - tmp[2][2] = m[0][0]*m[1][1] - m[0][1]*m[1][0]; - memmove(m, tmp, 3*3*sizeof(double)); -} - -/* Cayley-Hamilton */ -//void -//invertm(Matrix m) -//{ -// Matrix m², r; -// double det, trm, trm²; -// -// det = detm(m); -// if(det == 0) -// return; -// trm = tracem(m); -// memmove(m², m, 3*3*sizeof(double)); -// mulm(m², m²); -// trm² = tracem(m²); -// identity(r); -// smulm(r, (trm*trm - trm²)/2); -// smulm(m, trm); -// subm(r, m); -// addm(r, m²); -// smulm(r, 1/det); -// memmove(m, r, 3*3*sizeof(double)); -//} - -/* Cramer's */ -void -invm(Matrix m) -{ - double det; - - det = detm(m); - if(det == 0) - return; /* singular matrices are not invertible */ - adjm(m); - smulm(m, 1/det); -} - -Point2 -xform(Point2 p, Matrix m) -{ - return (Point2){ - p.x*m[0][0] + p.y*m[0][1] + p.w*m[0][2], - p.x*m[1][0] + p.y*m[1][1] + p.w*m[1][2], - p.x*m[2][0] + p.y*m[2][1] + p.w*m[2][2] - }; -} - -/* 3D */ - -void -identity3(Matrix3 m) -{ - memset(m, 0, 4*4*sizeof(double)); - m[0][0] = m[1][1] = m[2][2] = m[3][3] = 1; -} - -void -addm3(Matrix3 a, Matrix3 b) -{ - int i, j; - - for(i = 0; i < 4; i++) - for(j = 0; j < 4; j++) - a[i][j] += b[i][j]; -} - -void -subm3(Matrix3 a, Matrix3 b) -{ - int i, j; - - for(i = 0; i < 4; i++) - for(j = 0; j < 4; j++) - a[i][j] -= b[i][j]; -} - -void -mulm3(Matrix3 a, Matrix3 b) -{ - int i, j, k; - Matrix3 tmp; - - for(i = 0; i < 4; i++) - for(j = 0; j < 4; j++){ - tmp[i][j] = 0; - for(k = 0; k < 4; k++) - tmp[i][j] += a[i][k]*b[k][j]; - } - memmove(a, tmp, 4*4*sizeof(double)); -} - -void -smulm3(Matrix3 m, double s) -{ - int i, j; - - for(i = 0; i < 4; i++) - for(j = 0; j < 4; j++) - m[i][j] *= s; -} - -void -transposem3(Matrix3 m) -{ - int i, j; - double tmp; - - for(i = 0; i < 4; i++) - for(j = i; j < 4; j++){ - tmp = m[i][j]; - m[i][j] = m[j][i]; - m[j][i] = tmp; - } -} - -double -detm3(Matrix3 m) -{ - return m[0][0]*(m[1][1]*(m[2][2]*m[3][3] - m[2][3]*m[3][2])+ - m[1][2]*(m[2][3]*m[3][1] - m[2][1]*m[3][3])+ - m[1][3]*(m[2][1]*m[3][2] - m[2][2]*m[3][1])) - -m[0][1]*(m[1][0]*(m[2][2]*m[3][3] - m[2][3]*m[3][2])+ - m[1][2]*(m[2][3]*m[3][0] - m[2][0]*m[3][3])+ - m[1][3]*(m[2][0]*m[3][2] - m[2][2]*m[3][0])) - +m[0][2]*(m[1][0]*(m[2][1]*m[3][3] - m[2][3]*m[3][1])+ - m[1][1]*(m[2][3]*m[3][0] - m[2][0]*m[3][3])+ - m[1][3]*(m[2][0]*m[3][1] - m[2][1]*m[3][0])) - -m[0][3]*(m[1][0]*(m[2][1]*m[3][2] - m[2][2]*m[3][1])+ - m[1][1]*(m[2][2]*m[3][0] - m[2][0]*m[3][2])+ - m[1][2]*(m[2][0]*m[3][1] - m[2][1]*m[3][0])); -} - -double -tracem3(Matrix3 m) -{ - return m[0][0] + m[1][1] + m[2][2] + m[3][3]; -} - -void -adjm3(Matrix3 m) -{ - Matrix3 tmp; - - tmp[0][0]=m[1][1]*(m[2][2]*m[3][3] - m[2][3]*m[3][2])+ - m[2][1]*(m[1][3]*m[3][2] - m[1][2]*m[3][3])+ - m[3][1]*(m[1][2]*m[2][3] - m[1][3]*m[2][2]); - tmp[0][1]=m[0][1]*(m[2][3]*m[3][2] - m[2][2]*m[3][3])+ - m[2][1]*(m[0][2]*m[3][3] - m[0][3]*m[3][2])+ - m[3][1]*(m[0][3]*m[2][2] - m[0][2]*m[2][3]); - tmp[0][2]=m[0][1]*(m[1][2]*m[3][3] - m[1][3]*m[3][2])+ - m[1][1]*(m[0][3]*m[3][2] - m[0][2]*m[3][3])+ - m[3][1]*(m[0][2]*m[1][3] - m[0][3]*m[1][2]); - tmp[0][3]=m[0][1]*(m[1][3]*m[2][2] - m[1][2]*m[2][3])+ - m[1][1]*(m[0][2]*m[2][3] - m[0][3]*m[2][2])+ - m[2][1]*(m[0][3]*m[1][2] - m[0][2]*m[1][3]); - tmp[1][0]=m[1][0]*(m[2][3]*m[3][2] - m[2][2]*m[3][3])+ - m[2][0]*(m[1][2]*m[3][3] - m[1][3]*m[3][2])+ - m[3][0]*(m[1][3]*m[2][2] - m[1][2]*m[2][3]); - tmp[1][1]=m[0][0]*(m[2][2]*m[3][3] - m[2][3]*m[3][2])+ - m[2][0]*(m[0][3]*m[3][2] - m[0][2]*m[3][3])+ - m[3][0]*(m[0][2]*m[2][3] - m[0][3]*m[2][2]); - tmp[1][2]=m[0][0]*(m[1][3]*m[3][2] - m[1][2]*m[3][3])+ - m[1][0]*(m[0][2]*m[3][3] - m[0][3]*m[3][2])+ - m[3][0]*(m[0][3]*m[1][2] - m[0][2]*m[1][3]); - tmp[1][3]=m[0][0]*(m[1][2]*m[2][3] - m[1][3]*m[2][2])+ - m[1][0]*(m[0][3]*m[2][2] - m[0][2]*m[2][3])+ - m[2][0]*(m[0][2]*m[1][3] - m[0][3]*m[1][2]); - tmp[2][0]=m[1][0]*(m[2][1]*m[3][3] - m[2][3]*m[3][1])+ - m[2][0]*(m[1][3]*m[3][1] - m[1][1]*m[3][3])+ - m[3][0]*(m[1][1]*m[2][3] - m[1][3]*m[2][1]); - tmp[2][1]=m[0][0]*(m[2][3]*m[3][1] - m[2][1]*m[3][3])+ - m[2][0]*(m[0][1]*m[3][3] - m[0][3]*m[3][1])+ - m[3][0]*(m[0][3]*m[2][1] - m[0][1]*m[2][3]); - tmp[2][2]=m[0][0]*(m[1][1]*m[3][3] - m[1][3]*m[3][1])+ - m[1][0]*(m[0][3]*m[3][1] - m[0][1]*m[3][3])+ - m[3][0]*(m[0][1]*m[1][3] - m[0][3]*m[1][1]); - tmp[2][3]=m[0][0]*(m[1][3]*m[2][1] - m[1][1]*m[2][3])+ - m[1][0]*(m[0][1]*m[2][3] - m[0][3]*m[2][1])+ - m[2][0]*(m[0][3]*m[1][1] - m[0][1]*m[1][3]); - tmp[3][0]=m[1][0]*(m[2][2]*m[3][1] - m[2][1]*m[3][2])+ - m[2][0]*(m[1][1]*m[3][2] - m[1][2]*m[3][1])+ - m[3][0]*(m[1][2]*m[2][1] - m[1][1]*m[2][2]); - tmp[3][1]=m[0][0]*(m[2][1]*m[3][2] - m[2][2]*m[3][1])+ - m[2][0]*(m[0][2]*m[3][1] - m[0][1]*m[3][2])+ - m[3][0]*(m[0][1]*m[2][2] - m[0][2]*m[2][1]); - tmp[3][2]=m[0][0]*(m[1][2]*m[3][1] - m[1][1]*m[3][2])+ - m[1][0]*(m[0][1]*m[3][2] - m[0][2]*m[3][1])+ - m[3][0]*(m[0][2]*m[1][1] - m[0][1]*m[1][2]); - tmp[3][3]=m[0][0]*(m[1][1]*m[2][2] - m[1][2]*m[2][1])+ - m[1][0]*(m[0][2]*m[2][1] - m[0][1]*m[2][2])+ - m[2][0]*(m[0][1]*m[1][2] - m[0][2]*m[1][1]); - memmove(m, tmp, 4*4*sizeof(double)); -} - -/* Cayley-Hamilton */ -//void -//invertm3(Matrix3 m) -//{ -// Matrix3 m², m³, r; -// double det, trm, trm², trm³; -// -// det = detm3(m); -// if(det == 0) -// return; -// trm = tracem3(m); -// memmove(m³, m, 4*4*sizeof(double)); -// mulm(m³, m³); -// mulm(m³, m); -// trm³ = tracem3(m³); -// memmove(m², m, 4*4*sizeof(double)); -// mulm(m², m²); -// trm² = tracem3(m²); -// identity3(r); -// smulm3(r, (trm*trm*trm - 3*trm*trm² + 2*trm³)/6); -// smulm3(m, (trm*trm - trm²)/2); -// smulm3(m², trm); -// subm(r, m); -// addm(r, m²); -// subm(r, m³); -// smulm(r, 1/det); -// memmove(m, r, 4*4*sizeof(double)); -//} - -/* Cramer's */ -void -invm3(Matrix3 m) -{ - double det; - - det = detm3(m); - if(det == 0) - return; /* singular matrices are not invertible */ - adjm3(m); - smulm3(m, 1/det); -} - -Point3 -xform3(Point3 p, Matrix3 m) -{ - return (Point3){ - p.x*m[0][0] + p.y*m[0][1] + p.z*m[0][2] + p.w*m[0][3], - p.x*m[1][0] + p.y*m[1][1] + p.z*m[1][2] + p.w*m[1][3], - p.x*m[2][0] + p.y*m[2][1] + p.z*m[2][2] + p.w*m[2][3], - p.x*m[3][0] + p.y*m[3][1] + p.z*m[3][2] + p.w*m[3][3], - }; -} diff --git a/libgeometry/mkfile b/libgeometry/mkfile deleted file mode 100644 index 5c7d79f..0000000 --- a/libgeometry/mkfile +++ /dev/null @@ -1,13 +0,0 @@ - -#include -#include "../geometry.h" - -/* 2D */ - -Point2 -Pt2(double x, double y, double w) -{ - return (Point2){x, y, w}; -} - -Point2 -Vec2(double x, double y) -{ - return (Point2){x, y, 0}; -} - -Point2 -addpt2(Point2 a, Point2 b) -{ - return (Point2){a.x+b.x, a.y+b.y, a.w+b.w}; -} - -Point2 -subpt2(Point2 a, Point2 b) -{ - return (Point2){a.x-b.x, a.y-b.y, a.w-b.w}; -} - -Point2 -mulpt2(Point2 p, double s) -{ - return (Point2){p.x*s, p.y*s, p.w*s}; -} - -Point2 -divpt2(Point2 p, double s) -{ - return (Point2){p.x/s, p.y/s, p.w/s}; -} - -Point2 -lerp2(Point2 a, Point2 b, double t) -{ - if(t < 0) t = 0; - if(t > 1) t = 1; - return (Point2){ - (1 - t)*a.x + t*b.x, - (1 - t)*a.y + t*b.y, - (1 - t)*a.w + t*b.w - }; -} - -double -dotvec2(Point2 a, Point2 b) -{ - return a.x*b.x + a.y*b.y; -} - -double -vec2len(Point2 v) -{ - return sqrt(dotvec2(v, v)); -} - -Point2 -normvec2(Point2 v) -{ - double len; - - len = vec2len(v); - if(len == 0) - return (Point2){0, 0, 0}; - return (Point2){v.x/len, v.y/len, 0}; -} - -/* 3D */ - -Point3 -Pt3(double x, double y, double z, double w) -{ - return (Point3){x, y, z, w}; -} - -Point3 -Vec3(double x, double y, double z) -{ - return (Point3){x, y, z, 0}; -} - -Point3 -addpt3(Point3 a, Point3 b) -{ - return (Point3){a.x+b.x, a.y+b.y, a.z+b.z, a.w+b.w}; -} - -Point3 -subpt3(Point3 a, Point3 b) -{ - return (Point3){a.x-b.x, a.y-b.y, a.z-b.z, a.w-b.w}; -} - -Point3 -mulpt3(Point3 p, double s) -{ - return (Point3){p.x*s, p.y*s, p.z*s, p.w*s}; -} - -Point3 -divpt3(Point3 p, double s) -{ - return (Point3){p.x/s, p.y/s, p.z/s, p.w/s}; -} - -Point3 -lerp3(Point3 a, Point3 b, double t) -{ - if(t < 0) t = 0; - if(t > 1) t = 1; - return (Point3){ - (1 - t)*a.x + t*b.x, - (1 - t)*a.y + t*b.y, - (1 - t)*a.z + t*b.z, - (1 - t)*a.w + t*b.w - }; -} - -double -dotvec3(Point3 a, Point3 b) -{ - return a.x*b.x + a.y*b.y + a.z*b.z; -} - -Point3 -crossvec3(Point3 a, Point3 b) -{ - return (Point3){ - a.y*b.z - a.z*b.y, - a.z*b.x - a.x*b.z, - a.x*b.y - a.y*b.x, - 0 - }; -} - -double -vec3len(Point3 v) -{ - return sqrt(dotvec3(v, v)); -} - -Point3 -normvec3(Point3 v) -{ - double len; - - len = vec3len(v); - if(len == 0) - return (Point3){0, 0, 0, 0}; - return (Point3){v.x/len, v.y/len, v.z/len, 0}; -} diff --git a/libgeometry/quaternion.c b/libgeometry/quaternion.c deleted file mode 100644 index b8eaa88..0000000 --- a/libgeometry/quaternion.c +++ /dev/null @@ -1,90 +0,0 @@ -#include -#include -#include "../geometry.h" - -Quaternion -Quat(double r, double i, double j, double k) -{ - return (Quaternion){r, i, j, k}; -} - -Quaternion -Quatvec(double s, Point3 v) -{ - return (Quaternion){s, v.x, v.y, v.z}; -} - -Quaternion -addq(Quaternion a, Quaternion b) -{ - return (Quaternion){a.r+b.r, a.i+b.i, a.j+b.j, a.k+b.k}; -} - -Quaternion -subq(Quaternion a, Quaternion b) -{ - return (Quaternion){a.r-b.r, a.i-b.i, a.j-b.j, a.k-b.k}; -} - -Quaternion -mulq(Quaternion q, Quaternion r) -{ - Point3 qv, rv, tmp; - - qv = Vec3(q.i, q.j, q.k); - rv = Vec3(r.i, r.j, r.k); - tmp = addpt3(addpt3(mulpt3(rv, q.r), mulpt3(qv, r.r)), crossvec3(qv, rv)); - return (Quaternion){q.r*r.r - dotvec3(qv, rv), tmp.x, tmp.y, tmp.z}; -} - -Quaternion -smulq(Quaternion q, double s) -{ - return (Quaternion){q.r*s, q.i*s, q.j*s, q.k*s}; -} - -Quaternion -sdivq(Quaternion q, double s) -{ - return (Quaternion){q.r/s, q.i/s, q.j/s, q.k/s}; -} - -double -dotq(Quaternion q, Quaternion r) -{ - return q.r*r.r + q.i*r.i + q.j*r.j + q.k*r.k; -} - -Quaternion -invq(Quaternion q) -{ - double len²; - - len² = dotq(q, q); - if(len² == 0) - return (Quaternion){0, 0, 0, 0}; - return (Quaternion){q.r/len², -q.i/len², -q.j/len², -q.k/len²}; -} - -double -qlen(Quaternion q) -{ - return sqrt(q.r*q.r + q.i*q.i + q.j*q.j + q.k*q.k); -} - -Quaternion -normq(Quaternion q) -{ - return sdivq(q, qlen(q)); -} - -Point3 -qrotate(Point3 p, Point3 axis, double angle) -{ - Quaternion qaxis, qr; - - angle /= 2; - qaxis = Quatvec(cos(angle), mulpt3(axis, sin(angle))); - qr = mulq(mulq(qaxis, Quatvec(0, p)), invq(qaxis)); - return Vec3(qr.i, qr.j, qr.k); -} diff --git a/libgeometry/rframe.c b/libgeometry/rframe.c deleted file mode 100644 index 06d63f2..0000000 --- a/libgeometry/rframe.c +++ /dev/null @@ -1,51 +0,0 @@ -#include -#include -#include "../geometry.h" - -Point2 -rframexform(Point2 p, RFrame rf) -{ - Matrix m = { - rf.bx.x, rf.bx.y, -dotvec2(rf.bx, rf.p), - rf.by.x, rf.by.y, -dotvec2(rf.by, rf.p), - 0, 0, 1, - }; - return xform(p, m); -} - -Point3 -rframexform3(Point3 p, RFrame3 rf) -{ - Matrix3 m = { - rf.bx.x, rf.bx.y, rf.bx.z, -dotvec3(rf.bx, rf.p), - rf.by.x, rf.by.y, rf.by.z, -dotvec3(rf.by, rf.p), - rf.bz.x, rf.bz.y, rf.bz.z, -dotvec3(rf.bz, rf.p), - 0, 0, 0, 1, - }; - return xform3(p, m); -} - -Point2 -invrframexform(Point2 p, RFrame rf) -{ - Matrix m = { - rf.bx.x, rf.bx.y, -dotvec2(rf.bx, rf.p), - rf.by.x, rf.by.y, -dotvec2(rf.by, rf.p), - 0, 0, 1, - }; - invm(m); - return xform(p, m); -} - -Point3 -invrframexform3(Point3 p, RFrame3 rf) -{ - Matrix3 m = { - rf.bx.x, rf.bx.y, rf.bx.z, -dotvec3(rf.bx, rf.p), - rf.by.x, rf.by.y, rf.by.z, -dotvec3(rf.by, rf.p), - rf.bz.x, rf.bz.y, rf.bz.z, -dotvec3(rf.bz, rf.p), - 0, 0, 0, 1, - }; - invm3(m); - return xform3(p, m); -} diff --git a/libgeometry/triangle.c b/libgeometry/triangle.c deleted file mode 100644 index a8bbf0f..0000000 --- a/libgeometry/triangle.c +++ /dev/null @@ -1,9 +0,0 @@ -#include -#include -#include "../geometry.h" - -Point3 -centroid(Triangle3 t) -{ - return divpt3(addpt3(t.p0, addpt3(t.p1, t.p2)), 3); -} diff --git a/libgraphics/camera.c b/libgraphics/camera.c deleted file mode 100644 index bb55490..0000000 --- a/libgraphics/camera.c +++ /dev/null @@ -1,104 +0,0 @@ -#include -#include -#include -#include -#include "../geometry.h" -#include "../graphics.h" - -static int -max(int a, int b) -{ - return a > b ? a : b; -} - -static void -verifycfg(Camera *c) -{ - assert(c->viewport.fb != nil); - if(c->ptype == Ppersp) - assert(c->fov > 0 && c->fov < 360); - assert(c->clipn > 0 && c->clipn < c->clipf); -} - -static void -updatefb(Camera *c, Rectangle r, ulong chan) -{ - Memimage *fb; - - fb = allocmemimage(r, chan); - if(fb == nil) - sysfatal("allocmemimage: %r"); - c->viewport.fb = fb; - c->viewport.p = Pt2(r.min.x,r.max.y,1); -} - -Camera* -alloccamera(Rectangle r, ulong chan) -{ - Camera *c; - - c = malloc(sizeof(Camera)); - if(c == nil) - sysfatal("malloc: %r"); - memset(c, 0, sizeof *c); - c->viewport.bx = Vec2(1,0); - c->viewport.by = Vec2(0,-1); - updatefb(c, r, chan); - c->updatefb = updatefb; -} - -void -configcamera(Camera *c, double fov, double n, double f, Projection p) -{ - c->fov = fov; - c->clipn = n; - c->clipf = f; - c->ptype = p; - reloadcamera(c); -} - -void -placecamera(Camera *c, Point3 p, Point3 focus, Point3 up) -{ - c->p = p; - if(focus.w == 0) - c->bz = focus; - else - c->bz = normvec3(subpt3(c->p, focus)); - c->bx = normvec3(crossvec3(up, c->bz)); - c->by = crossvec3(c->bz, c->bx); -} - -void -aimcamera(Camera *c, Point3 focus) -{ - placecamera(c, c->p, focus, c->by); -} - -void -reloadcamera(Camera *c) -{ - double a; - double l, r, b, t; - - verifycfg(c); - switch(c->ptype){ - case Portho: - /* - r = Dx(c->viewport.fb->r)/2; - t = Dy(c->viewport.fb->r)/2; - l = -r; - b = -t; - */ - l = t = 0; - r = Dx(c->viewport.fb->r); - b = Dy(c->viewport.fb->r); - orthographic(c->proj, l, r, b, t, c->clipn, c->clipf); - break; - case Ppersp: - a = (double)Dx(c->viewport.fb->r)/Dy(c->viewport.fb->r); - perspective(c->proj, c->fov, a, c->clipn, c->clipf); - break; - default: sysfatal("unknown projection type"); - } -} diff --git a/libgraphics/doc/libgraphics.ms b/libgraphics/doc/libgraphics.ms deleted file mode 100644 index 87a23a7..0000000 --- a/libgraphics/doc/libgraphics.ms +++ /dev/null @@ -1,34 +0,0 @@ -.TL -libgraphics -.AU -Rodrigo G. López -.sp -rgl@antares-labs.eu -.AI -Antares Telecom Laboratories -Albatera, Alicante -.FS -ACHTUNG! this is a -.B "WORK IN PROGRESS" -.FE -.NH 1 -Data Structures -.NH 2 -Camera -.P1 -struct Camera { - RFrame3; /* VCS */ - Image *viewport; - double fov; /* vertical FOV */ - struct { - double n, f; /* near and far clipping planes */ - } clip; - Projection ptype; - Matrix3 proj; /* VCS to viewport xform */ -}; -.P2 -.PP -A camera is an image capturing entity, analog to the real world device -we all know, that allows us to see the virtual 3-D world by projecting -it into a viewport we can attach to a screen or window for real-time -visualization or write out into a file. diff --git a/libgraphics/doc/libgraphics.pdf b/libgraphics/doc/libgraphics.pdf deleted file mode 100644 index 0291710..0000000 Binary files a/libgraphics/doc/libgraphics.pdf and /dev/null differ diff --git a/libgraphics/doc/libgraphics.ps b/libgraphics/doc/libgraphics.ps deleted file mode 100644 index 1a566f7..0000000 --- a/libgraphics/doc/libgraphics.ps +++ /dev/null @@ -1,583 +0,0 @@ -%!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 -(libgraphics) 2533 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 -(Camera) 962 2940 w -9 /LucidaTypewriter f -(struct) 920 3110 w -(Camera) 1375 3110 w -({) 1830 3110 w -(};) 920 3330 w -10 /LucidaSansUnicode00 f -(A camera) 970 3546 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 -(IN) 1769 7080 w -(PROGRESS) 1883 7080 w -cleartomark -showpage -saveobj restore -%%EndPage: 1 1 -%%Trailer -done -%%DocumentFonts: S1 LucidaSansUnicode00 LucidaSans-Demi LucidaSans-Italic LucidaTypewriter -%%Pages: 1 diff --git a/libgraphics/doc/mkfile b/libgraphics/doc/mkfile deleted file mode 100644 index 3bac031..0000000 --- a/libgraphics/doc/mkfile +++ /dev/null @@ -1,15 +0,0 @@ -FONTS='.FP lucidasans' -DOCNAME=libgraphics - -all:VQ: $DOCNAME.ps $DOCNAME.pdf - -clean:VQ: - rm -f $DOCNAME.ps $DOCNAME.pdf - -$DOCNAME.ps:V: $DOCNAME.ms - {echo $FONTS; cat $prereq}> _$prereq - eval `{doctype _$prereq} | lp -dstdout > $target && rm -f _$prereq - -$DOCNAME.pdf:V: $DOCNAME.ps - cat /sys/doc/docfonts $prereq > _$prereq - ps2pdf _$prereq $target && rm -f _$prereq diff --git a/libgraphics/mkfile b/libgraphics/mkfile deleted file mode 100644 index b7669a3..0000000 --- a/libgraphics/mkfile +++ /dev/null @@ -1,11 +0,0 @@ - -#include -#include -#include "../geometry.h" -#include "../graphics.h" - -/* requires p to be in NDC */ -int -isclipping(Point3 p) -{ - if(p.x > p.w || p.x < -p.w || - p.y > p.w || p.y < -p.w || - p.z > p.w || p.z < 0) - return 1; - return 0; -} - -static Point2 -flatten(Camera *c, Point3 p) -{ - Point2 p2; - Matrix S = { - Dx(c->viewport->r)/2, 0, 0, - 0, Dy(c->viewport->r)/2, 0, - 0, 0, 1, - }, T = { - 1, 0, 1, - 0, 1, 1, - 0, 0, 1, - }; - - p2 = (Point2){p.x, p.y, p.w}; - if(p2.w != 0) - p2 = divpt2(p2, p2.w); - mulm(S, T); - p2 = xform(p2, S); - return p2; -} - -Point -toviewport(Camera *c, Point3 p) -{ - Point2 p2; - - p2 = invrframexform(flatten(c, p), c->viewport); - return (Point){p2.x, p2.y}; -} - -Point2 -fromviewport(Camera *c, Point p) -{ - return rframexform(Pt2(p.x,p.y,1), c->viewport); -} - -void -perspective(Matrix3 m, double fov, double a, double n, double f) -{ - double cotan; - - cotan = 1/tan(fov/2*DEG); - identity3(m); - m[0][0] = cotan/a; - m[1][1] = cotan; - m[2][2] = -(f+n)/(f-n); - m[2][3] = -2*f*n/(f-n); - m[3][2] = -1; -} - -void -orthographic(Matrix3 m, double l, double r, double b, double t, double n, double f) -{ - identity3(m); - m[0][0] = 2/(r - l); - m[1][1] = 2/(t - b); - m[2][2] = -2/(f - n); - m[0][3] = -(r + l)/(r - l); - m[1][3] = -(t + b)/(t - b); - m[2][3] = -(f + n)/(f - n); -} - -void -line3(Camera *c, Point3 p0, Point3 p1, int end0, int end1, Image *src) -{ - p0 = WORLD2NDC(c, p0); - p1 = WORLD2NDC(c, p1); - if(isclipping(p0) || isclipping(p1)) - return; - line(c->viewport, toviewport(c, p0), toviewport(c, p1), end0, end1, 0, src, ZP); -} - -Point -string3(Camera *c, Point3 p, Image *src, Font *f, char *s) -{ - p = WORLD2NDC(c, p); - if(isclipping(p)) - return (Point){~0, ~0}; - return string(c->viewport, toviewport(c, p), src, ZP, f, s); -} diff --git a/libobj/examples/box.obj b/libobj/examples/box.obj deleted file mode 100644 index bd72661..0000000 --- a/libobj/examples/box.obj +++ /dev/null @@ -1,30 +0,0 @@ -# Vertices: 8 -# Points: 0 -# Lines: 0 -# Faces: 6 -# Materials: 1 - -o 1 - -# Vertex list - -v -0.5 -0.5 0.5 -v -0.5 -0.5 -0.5 -v -0.5 0.5 -0.5 -v -0.5 0.5 0.5 -v 0.5 -0.5 0.5 -v 0.5 -0.5 -0.5 -v 0.5 0.5 -0.5 -v 0.5 0.5 0.5 - -# Point/Line/Face list - -usemtl Default -f 4 3 2 1 -f 2 6 5 1 -f 3 7 6 2 -f 8 7 3 4 -f 5 8 4 1 -f 6 7 8 5 - -# End of file diff --git a/libobj/examples/cube.obj b/libobj/examples/cube.obj deleted file mode 100644 index c569712..0000000 --- a/libobj/examples/cube.obj +++ /dev/null @@ -1,16 +0,0 @@ -# This is a cube that measures two units on each side. Each vertex is -# shared by three different faces. -v 0.000000 2.000000 2.000000 -v 0.000000 0.000000 2.000000 -v 2.000000 0.000000 2.000000 -v 2.000000 2.000000 2.000000 -v 0.000000 2.000000 0.000000 -v 0.000000 0.000000 0.000000 -v 2.000000 0.000000 0.000000 -v 2.000000 2.000000 0.000000 -f 1 2 3 4 -f 8 7 6 5 -f 4 3 7 8 -f 5 1 4 8 -f 5 6 2 1 -f 2 6 7 3 diff --git a/libobj/examples/diamond.obj b/libobj/examples/diamond.obj deleted file mode 100644 index 519f3ac..0000000 --- a/libobj/examples/diamond.obj +++ /dev/null @@ -1,20 +0,0 @@ -# diamond.obj - -g Object001 - -v 0.000000E+00 0.000000E+00 78.0000 -v 45.0000 45.0000 0.000000E+00 -v 45.0000 -45.0000 0.000000E+00 -v -45.0000 -45.0000 0.000000E+00 -v -45.0000 45.0000 0.000000E+00 -v 0.000000E+00 0.000000E+00 -78.0000 - -f 1 2 3 -f 1 3 4 -f 1 4 5 -f 1 5 2 -f 6 5 4 -f 6 4 3 -f 6 3 2 -f 6 2 1 -f 6 1 5 diff --git a/libobj/examples/lamp.obj b/libobj/examples/lamp.obj deleted file mode 100644 index d8023e1..0000000 --- a/libobj/examples/lamp.obj +++ /dev/null @@ -1,8863 +0,0 @@ -# Viewpoint Datalabs International, Inc. 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4336 4337 4388 -f 4385 4340 4341 4374 -f 4327 3988 3987 4328 -f 3982 2977 4000 4331 -f 4334 3997 3996 4335 -f 4338 3993 3992 4339 -f 4415 4414 4142 4141 -f 4411 4410 4146 4145 -f 4407 4406 4175 4174 -f 4356 4355 4130 4131 -f 4348 4347 4081 4080 -f 4359 4364 4068 4069 -f 4366 4350 4064 4065 -f 4368 4363 4022 4021 -f 4371 4372 4008 4009 -f 4388 4387 4321 4320 -f 4375 4384 4310 4311 -f 4381 4390 4306 4307 -f 4378 4377 4263 4262 -f 4398 4397 4232 4231 -f 4403 4402 4220 4221 -f 4084 4085 4416 4417 -f 4040 4052 4419 -f 4024 4012 4420 -f 4206 4194 4424 -f 4264 4265 4428 4429 -f 4281 4294 4431 -f 4325 4312 4432 -f 4146 4147 4436 4437 -f 4101 4116 4439 -# 4404 elements diff --git a/libobj/examples/negcube.obj b/libobj/examples/negcube.obj deleted file mode 100644 index 18109cd..0000000 --- a/libobj/examples/negcube.obj +++ /dev/null @@ -1,33 +0,0 @@ -# This is a cube with negative vertex reference numbers. Each element -# references the vertices stored immediately above it in the file. -# Note that vertices are not shared. -v 0.000000 2.000000 2.000000 -v 0.000000 0.000000 2.000000 -v 2.000000 0.000000 2.000000 -v 2.000000 2.000000 2.000000 -f -4 -3 -2 -1 -v 2.000000 2.000000 0.000000 -v 2.000000 0.000000 0.000000 -v 0.000000 0.000000 0.000000 -v 0.000000 2.000000 0.000000 -f -4 -3 -2 -1 -v 2.000000 2.000000 2.000000 -v 2.000000 0.000000 2.000000 -v 2.000000 0.000000 0.000000 -v 2.000000 2.000000 0.000000 -f -4 -3 -2 -1 -v 0.000000 2.000000 0.000000 -v 0.000000 2.000000 2.000000 -v 2.000000 2.000000 2.000000 -v 2.000000 2.000000 0.000000 -f -4 -3 -2 -1 -v 0.000000 2.000000 0.000000 -v 0.000000 0.000000 0.000000 -v 0.000000 0.000000 2.000000 -v 0.000000 2.000000 2.000000 -f -4 -3 -2 -1 -v 0.000000 0.000000 2.000000 -v 0.000000 0.000000 0.000000 -v 2.000000 0.000000 0.000000 -v 2.000000 0.000000 2.000000 -f -4 -3 -2 -1 diff --git a/libobj/examples/square.obj b/libobj/examples/square.obj deleted file mode 100644 index d44fd6d..0000000 --- a/libobj/examples/square.obj +++ /dev/null @@ -1,9 +0,0 @@ -# This example shows a square that measures two units on each side and -# faces in the positive direction (toward the camera). Note that the -# ordering of the vertices is counterclockwise. This ordering -# determines that the square is facing forward. -v 0.000000 2.000000 0.000000 -v 0.000000 0.000000 0.000000 -v 2.000000 0.000000 0.000000 -v 2.000000 2.000000 0.000000 -f 1 2 3 4 diff --git a/libobj/mkfile b/libobj/mkfile deleted file mode 100644 index f32264e..0000000 --- a/libobj/mkfile +++ /dev/null @@ -1,9 +0,0 @@ - -#include -#include - -enum { - OBJVGeometric, - OBJVTexture, - OBJVNormal, - OBJVParametric, - OBJNVERT -}; - -enum { - OBJEPoint, - OBJELine, - OBJEFace, - OBJECurve, - OBJECurve2, - OBJESurface -}; - -enum { - OBJHTSIZE = 17 -}; - -typedef struct -{ - union { - struct { double x, y, z, w; }; /* geometric */ - struct { double u, v, vv; }; /* texture and parametric */ - struct { double i, j, k; }; /* normal */ - }; -} OBJVertex; - -typedef struct -{ - OBJVertex *verts; - int nvert; -} OBJVertexArray; - -typedef struct -{ - int *indices; - int nindex; - int type; - OBJElem *next; -} OBJElem; - -typedef struct -{ - char *name; - OBJElem *child; - OBJObject *next; -} OBJObject; - -typedef struct -{ - OBJVertexArray vertdata[OBJNVERT]; - OBJObject *objtab[OBJHTSIZE]; -} OBJ; - -OBJ *objparse(char *file); -void objfree(OBJ *obj); -int OBJfmt(Fmt*); -void OBJfmtinstall(void); -.EE -.SH DESCRIPTION -An OBJ structure contains geometry and material information about a set of 3D objects -.SH SOURCE -.B /sys/src/libobj -.SH SEE ALSO -.IR geometry (2) -.br -http://paulbourke.net/dataformats/obj -.br -https://people.sc.fsu.edu/~jburkardt/data/obj/obj.html -.SH DIAGNOSTICS -.SH BUGS diff --git a/libobj/obj.c b/libobj/obj.c deleted file mode 100644 index 1575f70..0000000 --- a/libobj/obj.c +++ /dev/null @@ -1,584 +0,0 @@ -#include -#include -#include -#include -#include "../obj.h" - -#undef isspace(c) -#define isspace(c) ((c) == ' ' || (c) == '\t') - -typedef struct Line Line; -struct Line -{ - char *file; - ulong lineno; -}; - -static Line curline; - -static void -error(char *fmt, ...) -{ - va_list va; - char buf[ERRMAX], *bp; - - va_start(va, fmt); - bp = seprint(buf, buf + sizeof buf, "%s:%lud ", curline.file, curline.lineno); - vseprint(bp, buf + sizeof buf, fmt, va); - va_end(va); - werrstr("%s\n", buf); -} - -static void * -emalloc(ulong n) -{ - void *p; - - p = malloc(n); - if(p == nil) - sysfatal("malloc: %r"); - memset(p, 0, n); - setmalloctag(p, getcallerpc(&n)); - return p; -} - -static void * -erealloc(void *v, ulong n) -{ - void *nv; - - nv = realloc(v, n); - if(nv == nil) - sysfatal("realloc: %r"); - setrealloctag(nv, getcallerpc(&v)); - return nv; -} - -static uint -hash(char *s) -{ - uint h; - - h = 0x811c9dc5; - while(*s != 0) - h = (h^(uchar)*s++) * 0x1000193; - return h % OBJHTSIZE; -} - -static void -addvertva(OBJVertexArray *va, OBJVertex v) -{ - va->verts = erealloc(va->verts, ++va->nvert*sizeof(OBJVertex)); - va->verts[va->nvert-1] = v; -} - -static void -addvert(OBJ *obj, OBJVertex v, int vtype) -{ - addvertva(&obj->vertdata[vtype], v); -} - -static void -addelem(OBJObject *o, OBJElem *e) -{ - OBJElem *ep; - - if(o->child == nil){ - o->child = e; - return; - } - for(ep = o->child; ep->next != nil; ep = ep->next) - ; - ep->next = e; -} - -static OBJElem * -allocelem(int t) -{ - OBJElem *e; - - e = emalloc(sizeof(OBJElem)); - e->type = t; - return e; -} - -static void -addelemidx(OBJElem *e, int idx) -{ - e->indices = erealloc(e->indices, ++e->nindex*sizeof(int)); - e->indices[e->nindex-1] = idx; -} - -static void -freeelem(OBJElem *e) -{ - free(e->indices); - free(e); -} - -static OBJObject * -alloco(char *n) -{ - OBJObject *o; - - o = emalloc(sizeof(OBJObject)); - o->name = strdup(n); - return o; -} - -static void -freeo(OBJObject *o) -{ - OBJElem *e, *ne; - - free(o->name); - for(e = o->child; e != nil; e = ne){ - ne = e->next; - freeelem(e); - } - free(o); -} - -static void -pusho(OBJ *obj, OBJObject *o) -{ - OBJObject *op, *prev; - uint h; - - prev = nil; - h = hash(o->name); - for(op = obj->objtab[h]; op != nil; prev = op, op = op->next) - if(strcmp(op->name, o->name) == 0){ - o->next = op->next; - freeo(op); - break; - } - if(prev == nil){ - obj->objtab[h] = o; - return; - } - prev->next = o; -} - -static OBJObject * -geto(OBJ *obj, char *n) -{ - OBJObject *o; - uint h; - - h = hash(n); - for(o = obj->objtab[h]; o != nil; o = o->next) - if(strcmp(o->name, n) == 0) - break; - return o; -} - -OBJ * -objparse(char *file) -{ - Biobuf *bin; - OBJ *obj; - OBJObject *o; - OBJElem *e; - OBJVertex v; - double *d; - char c, buf[256], *p; - int vtype, idx, sign; - - o = nil; - bin = Bopen(file, OREAD); - if(bin == nil) - sysfatal("Bopen: %r"); - curline.file = file; - curline.lineno = 1; - obj = emalloc(sizeof(OBJ)); - while((c = Bgetc(bin)) != Beof){ - switch(c){ - case 'v': - d = (double*)&v; - c = Bgetc(bin); - vtype = OBJVGeometric; - switch(c){ - case 't': vtype = OBJVTexture; break; - case 'p': vtype = OBJVParametric; break; - case 'n': vtype = OBJVNormal; break; - default: - if(!isspace(c)){ - error("wrong vertex type"); - goto error; - } - } - while(c = Bgetc(bin), c != Beof && c != '\n' && d-(double*)&v < 4){ - while(isspace(c)) - c = Bgetc(bin); - if(c == '\\'){ - while(c != '\n') - c = Bgetc(bin); - continue; - } - if(c != '-' && !isdigit(c)){ - error("unexpected character '%c'", c); - goto error; - } - Bungetc(bin); - Bgetd(bin, d++); - } - switch(vtype){ - case OBJVGeometric: - if(d-(double*)&v < 3){ - error("not enough coordinates"); - goto error; - } - if(d-(double*)&v < 4) - *d = 1; /* default w value */ - break; - case OBJVTexture: - if(d-(double*)&v < 1){ - error("not enough coordinates"); - goto error; - } - while(d-(double*)&v < 3) - *d++ = 0; /* default v and w values */ - break; - case OBJVParametric: - if(d-(double*)&v < 2){ - error("not enough coordinates"); - goto error; - } - if(d-(double*)&v < 3) - *d = 1; /* default w value */ - break; - case OBJVNormal: - if(d-(double*)&v < 3){ - error("not enough coordinates"); - goto error; - } - } - addvert(obj, v, vtype); - break; - case 'o': - p = buf; - c = Bgetc(bin); - if(!isspace(c)){ - error("syntax error"); - goto error; - } - while(isspace(c)) - c = Bgetc(bin); - if(!isalnum(c)){ - error("unexpected character '%c'", c); - goto error; - } - do{ - *p++ = c; - }while(c = Bgetc(bin), isalnum(c) && p-buf < sizeof(buf)-1); - *p = 0; - o = geto(obj, buf); - if(o == nil){ - o = alloco(buf); - pusho(obj, o); - } - break; - case 'g': - case 's': - /* element and smoothing groups ignored for now */ - while(c != '\n') - c = Bgetc(bin); - break; - case 'p': - c = Bgetc(bin); - if(!isspace(c)){ - error("syntax error"); - goto error; - } - while(c = Bgetc(bin), c != '\n'){ - idx = 0; - sign = 0; - while(isspace(c)) - c = Bgetc(bin); - if(c == '\\'){ - while(c != '\n') - c = Bgetc(bin); - continue; - } - if(c != '-' && !isdigit(c)){ - error("unexpected character '%c'", c); - goto error; - } - if(c == '-'){ - sign = 1; - c = Bgetc(bin); - if(!isdigit(c)){ - error("unexpected character '%c'", c); - goto error; - } - } - do{ - idx = idx*10 + c-'0'; - }while(c = Bgetc(bin), isdigit(c)); - Bungetc(bin); - idx = sign ? obj->vertdata[OBJVGeometric].nvert-idx : idx-1; - if(idx+1 > obj->vertdata[OBJVGeometric].nvert){ - error("not enough vertices"); - goto error; - } - e = allocelem(OBJEPoint); - addelemidx(e, idx); - if(o == nil){ - o = alloco("default"); - pusho(obj, o); - } - addelem(o, e); - } - break; - case 'l': - c = Bgetc(bin); - if(!isspace(c)){ - error("syntax error"); - goto error; - } - while(c = Bgetc(bin), c != '\n'){ - idx = 0; - sign = 0; - while(isspace(c)) - c = Bgetc(bin); - if(c == '\\'){ - while(c != '\n') - c = Bgetc(bin); - continue; - } - if(c != '-' && !isdigit(c)){ - error("unexpected character '%c'", c); - goto error; - } - if(c == '-'){ - sign = 1; - c = Bgetc(bin); - if(!isdigit(c)){ - error("unexpected character '%c'", c); - goto error; - } - } - do{ - idx = idx*10 + c-'0'; - }while(c = Bgetc(bin), isdigit(c)); - idx = sign ? obj->vertdata[OBJVGeometric].nvert-idx : idx-1; - if(idx+1 > obj->vertdata[OBJVGeometric].nvert){ - error("not enough vertices"); - goto error; - } - e = allocelem(OBJELine); - addelemidx(e, idx); -Line2: - idx = 0; - sign = 0; - while(isspace(c)) - c = Bgetc(bin); - if(c == '\\'){ - while(c != '\n') - c = Bgetc(bin); - c = Bgetc(bin); - goto Line2; - } - if(c != '-' && !isdigit(c)){ - freeelem(e); - error("unexpected character '%c'", c); - goto error; - } - if(c == '-'){ - sign = 1; - c = Bgetc(bin); - if(!isdigit(c)){ - freeelem(e); - error("unexpected character '%c'", c); - goto error; - } - } - do{ - idx = idx*10 + c-'0'; - }while(c = Bgetc(bin), isdigit(c)); - Bungetc(bin); - idx = sign ? obj->vertdata[OBJVGeometric].nvert-idx : idx-1; - if(idx+1 > obj->vertdata[OBJVGeometric].nvert){ - freeelem(e); - error("not enough vertices"); - goto error; - } - addelemidx(e, idx); - if(o == nil){ - o = alloco("default"); - pusho(obj, o); - } - addelem(o, e); - } - break; - case 'f': - e = allocelem(OBJEFace); - c = Bgetc(bin); - if(!isspace(c)){ - freeelem(e); - error("syntax error"); - goto error; - } - while(c = Bgetc(bin), c != '\n'){ - idx = 0; - sign = 0; - while(isspace(c)) - c = Bgetc(bin); - if(c == '\\'){ - while(c != '\n') - c = Bgetc(bin); - continue; - } - if(c != '-' && !isdigit(c)){ - freeelem(e); - error("unexpected character '%c'", c); - goto error; - } - if(c == '-'){ - sign = 1; - c = Bgetc(bin); - if(!isdigit(c)){ - freeelem(e); - error("unexpected character '%c'", c); - goto error; - } - } - do{ - idx = idx*10 + c-'0'; - }while(c = Bgetc(bin), isdigit(c)); - Bungetc(bin); - idx = sign ? obj->vertdata[OBJVGeometric].nvert-idx : idx-1; - if(idx+1 > obj->vertdata[OBJVGeometric].nvert){ - freeelem(e); - error("not enough vertices"); - goto error; - } - addelemidx(e, idx); - } - if(o == nil){ - o = alloco("default"); - pusho(obj, o); - } - addelem(o, e); - break; - case 'm': - case 'u': - p = buf; - do{ - *p++ = c; - }while(c = Bgetc(bin), isalpha(c) && p-buf < sizeof(buf)-1); - *p = 0; - if(strcmp(buf, "mtllib") != 0 && strcmp(buf, "usemtl") != 0){ - error("syntax error"); - goto error; - } - while(c != '\n') - c = Bgetc(bin); - break; - case '#': - while(c != '\n') - c = Bgetc(bin); - break; - } - do{ - if(c == '\n'){ - curline.lineno++; - break; - } - if(!isspace(c)){ - error("syntax error"); - goto error; - } - }while((c = Bgetc(bin)) != Beof); - } - Bterm(bin); - return obj; -error: - objfree(obj); - Bterm(bin); - return nil; -} - -void -objfree(OBJ *obj) -{ - OBJObject *o, *no; - int i; - - if(obj == nil) - return; - for(i = 0; i < nelem(obj->vertdata); i++) - free(obj->vertdata[i].verts); - for(i = 0; i < nelem(obj->objtab); i++) - for(o = obj->objtab[i]; o != nil; o = no){ - no = o->next; - freeo(o); - } - free(obj); -} - -int -OBJfmt(Fmt *f) -{ - OBJ *obj; - OBJObject *o; - OBJElem *e; - OBJVertex v; - int i, j, r, pack; - - r = pack = 0; - obj = va_arg(f->args, OBJ*); - for(i = 0; i < nelem(obj->vertdata); i++) - for(j = 0; j < obj->vertdata[i].nvert; j++){ - v = obj->vertdata[i].verts[j]; - switch(i){ - case OBJVGeometric: - r += fmtprint(f, "v %g %g %g %g\n", v.x, v.y, v.z, v.w); - break; - case OBJVTexture: - r += fmtprint(f, "vt %g %g %g\n", v.u, v.v, v.vv); - break; - case OBJVNormal: - r += fmtprint(f, "vn %g %g %g\n", v.i, v.j, v.k); - break; - case OBJVParametric: - r += fmtprint(f, "vp %g %g %g\n", v.u, v.v, v.vv); - break; - } - } - for(i = 0; i < nelem(obj->objtab); i++) - for(o = obj->objtab[i]; o != nil; o = o->next){ - if(strcmp(o->name, "default") != 0) - r += fmtprint(f, "o %s\n", o->name); - for(e = o->child; e != nil; e = e->next){ - switch(e->type){ - case OBJEPoint: - if(pack == 0) - r += fmtprint(f, "p"); - pack = pack > 0 ? --pack : 8-1; - break; - case OBJELine: - r += fmtprint(f, "l"); - break; - case OBJEFace: - r += fmtprint(f, "f"); - break; - //case OBJECurve: - //case OBJECurve2: - //case OBJESurface: - } - for(j = 0; j < e->nindex; j++) - r += fmtprint(f, " %d", e->indices[j]+1); - if(e->type != OBJEPoint || pack == 0) - r += fmtprint(f, "\n"); - } - } - return r; -} - -void -OBJfmtinstall(void) -{ - fmtinstall('O', OBJfmt); -} diff --git a/libobj/spec b/libobj/spec deleted file mode 100644 index a535f4b..0000000 --- a/libobj/spec +++ /dev/null @@ -1,2 +0,0 @@ -http://paulbourke.net/dataformats/obj -https://people.sc.fsu.edu/~jburkardt/data/obj/obj.html diff --git a/libobj/test/main.acid b/libobj/test/main.acid deleted file mode 100644 index 25a8f30..0000000 --- a/libobj/test/main.acid +++ /dev/null @@ -1,525 +0,0 @@ -sizeof_1_ = 8; -aggr _1_ -{ - 'U' 0 lo; - 'U' 4 hi; -}; - -defn -_1_(addr) { - complex _1_ addr; - print(" lo ", addr.lo, "\n"); - print(" hi ", addr.hi, "\n"); -}; - -sizeofFPdbleword = 8; -aggr FPdbleword -{ - 'F' 0 x; - { - 'U' 0 lo; - 'U' 4 hi; - }; -}; - -defn -FPdbleword(addr) { - complex FPdbleword addr; - print(" x ", addr.x, "\n"); - print("_1_ {\n"); - _1_(addr+0); - print("}\n"); -}; - -UTFmax = 4; -Runesync = 128; -Runeself = 128; -Runeerror = 65533; -Runemax = 1114111; -Runemask = 2097151; -sizeofFmt = 80; -aggr Fmt -{ - 'b' 0 runes; - 'Y' 8 start; - 'Y' 16 to; - 'Y' 24 stop; - 'Y' 32 flush; - 'Y' 40 farg; - 'D' 48 nfmt; - 'Y' 56 args; - 'D' 64 r; - 'D' 68 width; - 'D' 72 prec; - 'U' 76 flags; -}; - -defn -Fmt(addr) { - complex Fmt addr; - print(" runes ", addr.runes, "\n"); - print(" start ", addr.start\Y, "\n"); - print(" to ", addr.to\Y, "\n"); - print(" stop ", addr.stop\Y, "\n"); - print(" flush ", addr.flush\Y, "\n"); - print(" farg ", addr.farg\Y, "\n"); - print(" nfmt ", addr.nfmt, "\n"); - print(" args ", addr.args\Y, "\n"); - print(" r ", addr.r, "\n"); - print(" width ", addr.width, "\n"); - print(" prec ", addr.prec, "\n"); - print(" flags ", addr.flags, "\n"); -}; - -FmtWidth = 1; -FmtLeft = 2; -FmtPrec = 4; -FmtSharp = 8; -FmtSpace = 16; -FmtSign = 32; -FmtZero = 64; -FmtUnsigned = 128; -FmtShort = 256; -FmtLong = 512; -FmtVLong = 1024; -FmtComma = 2048; -FmtByte = 4096; -FmtFlag = 8192; -sizeofTm = 40; -aggr Tm -{ - 'D' 0 sec; - 'D' 4 min; - 'D' 8 hour; - 'D' 12 mday; - 'D' 16 mon; - 'D' 20 year; - 'D' 24 wday; - 'D' 28 yday; - 'a' 32 zone; - 'D' 36 tzoff; -}; - -defn -Tm(addr) { - complex Tm addr; - print(" sec ", addr.sec, "\n"); - print(" min ", addr.min, "\n"); - print(" hour ", addr.hour, "\n"); - print(" mday ", addr.mday, "\n"); - print(" mon ", addr.mon, "\n"); - print(" year ", addr.year, "\n"); - print(" wday ", addr.wday, "\n"); - print(" yday ", addr.yday, "\n"); - print(" zone ", addr.zone, "\n"); - print(" tzoff ", addr.tzoff, "\n"); -}; - -PNPROC = 1; -PNGROUP = 2; -Profoff = 0; -Profuser = 1; -Profkernel = 2; -Proftime = 3; -Profsample = 4; -sizeofLock = 8; -aggr Lock -{ - 'D' 0 val; -}; - -defn -Lock(addr) { - complex Lock addr; - print(" val ", addr.val, "\n"); -}; - -sizeofQLp = 16; -aggr QLp -{ - 'D' 0 inuse; - 'D' 4 state; - 'A' QLp 8 next; -}; - -defn -QLp(addr) { - complex QLp addr; - print(" inuse ", addr.inuse, "\n"); - print(" state ", addr.state, "\n"); - print(" next ", addr.next\Y, "\n"); -}; - -sizeofQLock = 32; -aggr QLock -{ - Lock 0 lock; - 'D' 8 locked; - 'A' QLp 16 $head; - 'A' QLp 24 $tail; -}; - -defn -QLock(addr) { - complex QLock addr; - print("Lock lock {\n"); - Lock(addr.lock); - print("}\n"); - print(" locked ", addr.locked, "\n"); - print(" $head ", addr.$head\Y, "\n"); - print(" $tail ", addr.$tail\Y, "\n"); -}; - -sizeofRWLock = 32; -aggr RWLock -{ - Lock 0 lock; - 'D' 8 readers; - 'D' 12 writer; - 'A' QLp 16 $head; - 'A' QLp 24 $tail; -}; - -defn -RWLock(addr) { - complex RWLock addr; - print("Lock lock {\n"); - Lock(addr.lock); - print("}\n"); - print(" readers ", addr.readers, "\n"); - print(" writer ", addr.writer, "\n"); - print(" $head ", addr.$head\Y, "\n"); - print(" $tail ", addr.$tail\Y, "\n"); -}; - -sizeofRendez = 24; -aggr Rendez -{ - 'A' QLock 0 l; - 'A' QLp 8 $head; - 'A' QLp 16 $tail; -}; - -defn -Rendez(addr) { - complex Rendez addr; - print(" l ", addr.l\Y, "\n"); - print(" $head ", addr.$head\Y, "\n"); - print(" $tail ", addr.$tail\Y, "\n"); -}; - -sizeofNetConnInfo = 72; -aggr NetConnInfo -{ - 'Y' 0 dir; - 'Y' 8 root; - 'Y' 16 spec; - 'Y' 24 lsys; - 'Y' 32 lserv; - 'Y' 40 rsys; - 'Y' 48 rserv; - 'Y' 56 laddr; - 'Y' 64 raddr; -}; - -defn -NetConnInfo(addr) { - complex NetConnInfo addr; - print(" dir ", addr.dir\Y, "\n"); - print(" root ", addr.root\Y, "\n"); - print(" spec ", addr.spec\Y, "\n"); - print(" lsys ", addr.lsys\Y, "\n"); - print(" lserv ", addr.lserv\Y, "\n"); - print(" rsys ", addr.rsys\Y, "\n"); - print(" rserv ", addr.rserv\Y, "\n"); - print(" laddr ", addr.laddr\Y, "\n"); - print(" raddr ", addr.raddr\Y, "\n"); -}; - -RFNAMEG = 1; -RFENVG = 2; -RFFDG = 4; -RFNOTEG = 8; -RFPROC = 16; -RFMEM = 32; -RFNOWAIT = 64; -RFCNAMEG = 1024; -RFCENVG = 2048; -RFCFDG = 4096; -RFREND = 8192; -RFNOMNT = 16384; -sizeofQid = 16; -aggr Qid -{ - 'W' 0 path; - 'U' 8 vers; - 'b' 12 type; -}; - -defn -Qid(addr) { - complex Qid addr; - print(" path ", addr.path, "\n"); - print(" vers ", addr.vers, "\n"); - print(" type ", addr.type, "\n"); -}; - -sizeofDir = 80; -aggr Dir -{ - 'u' 0 type; - 'U' 4 dev; - Qid 8 qid; - 'U' 24 mode; - 'U' 28 atime; - 'U' 32 mtime; - 'V' 40 length; - 'Y' 48 name; - 'Y' 56 uid; - 'Y' 64 gid; - 'Y' 72 muid; -}; - -defn -Dir(addr) { - complex Dir addr; - print(" type ", addr.type, "\n"); - print(" dev ", addr.dev, "\n"); - print("Qid qid {\n"); - Qid(addr.qid); - print("}\n"); - print(" mode ", addr.mode, "\n"); - print(" atime ", addr.atime, "\n"); - print(" mtime ", addr.mtime, "\n"); - print(" length ", addr.length, "\n"); - print(" name ", addr.name\Y, "\n"); - print(" uid ", addr.uid\Y, "\n"); - print(" gid ", addr.gid\Y, "\n"); - print(" muid ", addr.muid\Y, "\n"); -}; - -sizeofWaitmsg = 24; -aggr Waitmsg -{ - 'D' 0 pid; - 'a' 4 time; - 'Y' 16 msg; -}; - -defn -Waitmsg(addr) { - complex Waitmsg addr; - print(" pid ", addr.pid, "\n"); - print(" time ", addr.time, "\n"); - print(" msg ", addr.msg\Y, "\n"); -}; - -sizeofIOchunk = 16; -aggr IOchunk -{ - 'Y' 0 addr; - 'U' 8 len; -}; - -defn -IOchunk(addr) { - complex IOchunk addr; - print(" addr ", addr.addr\Y, "\n"); - print(" len ", addr.len, "\n"); -}; - -OBJVGeometric = 0; -OBJVTexture = 1; -OBJVNormal = 2; -OBJVParametric = 3; -OBJNVERT = 4; -OBJEPoint = 0; -OBJELine = 1; -OBJEFace = 2; -OBJECurve = 3; -OBJECurve2 = 4; -OBJESurface = 5; -OBJGGlobal = 0; -OBJGSmoothing = 1; -OBJGMerging = 2; -OBJGObject = 3; -OBJHTSIZE = 16; -sizeof_2_ = 32; -aggr _2_ -{ - 'F' 0 x; - 'F' 8 y; - 'F' 16 z; - 'F' 24 w; -}; - -defn -_2_(addr) { - complex _2_ addr; - print(" x ", addr.x, "\n"); - print(" y ", addr.y, "\n"); - print(" z ", addr.z, "\n"); - print(" w ", addr.w, "\n"); -}; - -sizeof_3_ = 24; -aggr _3_ -{ - 'F' 0 u; - 'F' 8 v; - 'F' 16 vv; -}; - -defn -_3_(addr) { - complex _3_ addr; - print(" u ", addr.u, "\n"); - print(" v ", addr.v, "\n"); - print(" vv ", addr.vv, "\n"); -}; - -sizeof_4_ = 24; -aggr _4_ -{ - 'F' 0 i; - 'F' 8 j; - 'F' 16 k; -}; - -defn -_4_(addr) { - complex _4_ addr; - print(" i ", addr.i, "\n"); - print(" j ", addr.j, "\n"); - print(" k ", addr.k, "\n"); -}; - -sizeof_5_ = 32; -aggr _5_ -{ - { - 'F' 0 x; - 'F' 8 y; - 'F' 16 z; - 'F' 24 w; - }; - { - 'F' 0 u; - 'F' 8 v; - 'F' 16 vv; - }; - { - 'F' 0 i; - 'F' 8 j; - 'F' 16 k; - }; -}; - -defn -_5_(addr) { - complex _5_ addr; - print("_2_ {\n"); - _2_(addr+0); - print("}\n"); - print("_3_ {\n"); - _3_(addr+0); - print("}\n"); - print("_4_ {\n"); - _4_(addr+0); - print("}\n"); -}; - -sizeofOBJVertex = 32; -aggr OBJVertex -{ - { - { - 'F' 0 x; - 'F' 8 y; - 'F' 16 z; - 'F' 24 w; - }; - { - 'F' 0 u; - 'F' 8 v; - 'F' 16 vv; - }; - { - 'F' 0 i; - 'F' 8 j; - 'F' 16 k; - }; - }; -}; - -defn -OBJVertex(addr) { - complex OBJVertex addr; - print("_5_ {\n"); - _5_(addr+0); - print("}\n"); -}; - -sizeofOBJVertexArray = 16; -aggr OBJVertexArray -{ - 'A' OBJVertex 0 verts; - 'D' 8 nvert; -}; - -defn -OBJVertexArray(addr) { - complex OBJVertexArray addr; - print(" verts ", addr.verts\Y, "\n"); - print(" nvert ", addr.nvert, "\n"); -}; - -sizeofOBJElem = 24; -aggr OBJElem -{ - 'Y' 0 indices; - 'D' 8 nindex; - 'D' 12 type; - 'A' OBJElem 16 next; -}; - -defn -OBJElem(addr) { - complex OBJElem addr; - print(" indices ", addr.indices\Y, "\n"); - print(" nindex ", addr.nindex, "\n"); - print(" type ", addr.type, "\n"); - print(" next ", addr.next\Y, "\n"); -}; - -sizeofOBJObject = 24; -aggr OBJObject -{ - 'Y' 0 name; - 'A' OBJElem 8 child; - 'A' OBJObject 16 next; -}; - -defn -OBJObject(addr) { - complex OBJObject addr; - print(" name ", addr.name\Y, "\n"); - print(" child ", addr.child\Y, "\n"); - print(" next ", addr.next\Y, "\n"); -}; - -sizeofOBJ = 192; -aggr OBJ -{ - 'a' 0 vertdata; - 'a' 64 objtab; -}; - -defn -OBJ(addr) { - complex OBJ addr; - print(" vertdata ", addr.vertdata, "\n"); - print(" objtab ", addr.objtab, "\n"); -}; - -complex OBJ main:obj; diff --git a/libobj/test/main.c b/libobj/test/main.c deleted file mode 100644 index 1a60b42..0000000 --- a/libobj/test/main.c +++ /dev/null @@ -1,35 +0,0 @@ -#include -#include -#include "../../obj.h" - -static char fd0[] = "/fd/0"; - -void -usage(void) -{ - fprint(2, "usage: %s [file]\n", argv0); - exits("usage"); -} - -void -main(int argc, char *argv[]) -{ - OBJ *obj; - char *f; - - f = fd0; - OBJfmtinstall(); - ARGBEGIN{ - default: usage(); - }ARGEND; - if(argc > 1) - usage(); - if(argc == 1) - f = argv[0]; - obj = objparse(f); - if(obj == nil) - sysfatal("objparse: %r"); - print("%O\n", obj); - objfree(obj); - exits(0); -} diff --git a/libobj/test/mkfile b/libobj/test/mkfile deleted file mode 100644 index 2f4895c..0000000 --- a/libobj/test/mkfile +++ /dev/null @@ -1,21 +0,0 @@ - #include #include +#include #include #include -#include "geometry.h" -#include "graphics.h" -#include "obj.h" +#include +#include +#include #include "dat.h" #include "fns.h" typedef struct Camcfg Camcfg; - struct Camcfg { Point3 p, lookat, up; @@ -46,21 +46,28 @@ Channel *drawc; int kdown; vlong t0, t; double Δt; -//Mesh model; char *mdlpath = "../threedee/mdl/rocket.obj"; -Camera *cams[4], *maincam; +Camera cams[4], *maincam; Camcfg camcfgs[4] = { - Pt3(2,0,-4,1), Pt3(0,0,0,1), Vec3(0,1,0), + 2,0,-4,1, + 0,0,0,1, + 0,1,0,0, 90, 0.1, 100, Ppersp, - Pt3(-2,0,-4,1), Pt3(0,0,0,1), Vec3(0,1,0), + -2,0,-4,1, + 0,0,0,1, + 0,1,0,0, 120, 0.1, 100, Ppersp, - Pt3(-2,0,4,1), Pt3(0,0,0,1), Vec3(0,1,0), + -2,0,4,1, + 0,0,0,1, + 0,1,0,0, 90, 0.1, 100, Ppersp, - Pt3(2,0,4,1), Pt3(0,0,0,1), Vec3(0,1,0), + 2,0,4,1, + 0,0,0,1, + 0,1,0,0, 120, 0.1, 100, Ppersp }; @@ -114,8 +121,8 @@ depthcmp(void *a, void *b) Triangle3 *ta, *tb; double za, zb; - ta = (Triangle3 *)a; - tb = (Triangle3 *)b; + ta = (Triangle3*)a; + tb = (Triangle3*)b; za = (ta->p0.z + ta->p1.z + ta->p2.z)/3; zb = (tb->p0.z + tb->p1.z + tb->p2.z)/3; return zb-za; @@ -124,10 +131,10 @@ depthcmp(void *a, void *b) void drawaxis(void) { - Point3 op = (Point3){0, 0, 0, 1}, - px = (Point3){1, 0, 0, 1}, - py = (Point3){0, 1, 0, 1}, - pz = (Point3){0, 0, 1, 1}; + Point3 op = Pt3(0,0,0,1), + px = Pt3(1,0,0,1), + py = Pt3(0,1,0,1), + pz = Pt3(0,0,1,1); line3(maincam, op, px, 0, Endarrow, display->black); string3(maincam, px, display->black, font, "x"); @@ -142,14 +149,14 @@ drawstats(void) { int i; - snprint(stats[Scamno], sizeof(stats[Scamno]), "CAM %lld", maincam-cams[0]+1); + snprint(stats[Scamno], sizeof(stats[Scamno]), "CAM %lld", maincam-cams+1); snprint(stats[Sfov], sizeof(stats[Sfov]), "FOV %g°", maincam->fov); snprint(stats[Scampos], sizeof(stats[Scampos]), "%V", maincam->p); snprint(stats[Scambx], sizeof(stats[Scambx]), "bx %V", maincam->bx); snprint(stats[Scamby], sizeof(stats[Scamby]), "by %V", maincam->by); snprint(stats[Scambz], sizeof(stats[Scambz]), "bz %V", maincam->bz); for(i = 0; i < Se; i++) - stringn(maincam->viewport, addpt(screen->r.min, Pt(10,10 + i*font->height)), display->black, ZP, font, stats[i], sizeof(stats[i])); + string(screen, addpt(screen->r.min, Pt(10,10 + i*font->height)), display->black, ZP, font, stats[i]); } void @@ -184,7 +191,7 @@ redraw(void) // /* clipping */ // /* // * no clipping for now, the whole triangle is ignored -// * if any of its vertices gets outside the fustrum. +// * if any of its vertices gets outside the frustum. // */ // if(isclipping(tmp.p0) || isclipping(tmp.p1) || isclipping(tmp.p2)) // continue; @@ -198,6 +205,7 @@ redraw(void) // nvistri++; // } // qsort(vistris, nvistri, sizeof(TTriangle3), depthcmp); + lockdisplay(display); draw(maincam->viewport, maincam->viewport->r, display->white, nil, ZP); drawaxis(); @@ -332,13 +340,13 @@ handlekeys(void) if(kdown & 1<p, maincam->bz, qrotate(maincam->by, maincam->bz, -5*DEG)); if(kdown & 1<updatefb(maincam, screen->r, screen->chan); + maincam->viewport = screen; + reloadcamera(maincam); } void @@ -381,11 +390,10 @@ threadmain(int argc, char *argv[]) if((mctl = initmouse(nil, screen)) == nil) sysfatal("initmouse: %r"); for(i = 0; i < nelem(cams); i++){ - cams[i] = alloccamera(screen->r, screen->chan); - placecamera(cams[i], camcfgs[i].p, camcfgs[i].lookat, camcfgs[i].up); - configcamera(cams[i], camcfgs[i].fov, camcfgs[i].clipn, camcfgs[i].clipf, camcfgs[i].ptype); + placecamera(&cams[i], camcfgs[i].p, camcfgs[i].lookat, camcfgs[i].up); + configcamera(&cams[i], screen, camcfgs[i].fov, camcfgs[i].clipn, camcfgs[i].clipf, camcfgs[i].ptype); } - maincam = cams[0]; + maincam = &cams[0]; if((objmesh = objparse(mdlpath)) == nil) sysfatal("objparse: %r"); drawc = chancreate(1, 0); diff --git a/mkfile b/mkfile index c56ce21..7e1d254 100644 --- a/mkfile +++ b/mkfile @@ -5,29 +5,35 @@ TARG=3d OFILES=\ main.$O\ -HFILES=geometry.h graphics.h obj.h dat.h fns.h +HFILES=libgeometry/geometry.h\ + libgraphics/graphics.h\ + libobj/obj.h\ + dat.h\ + fns.h\ LIB=\ - libgeometry.a$O\ - libgraphics.a$O\ - libobj.a$O + libobj/libobj.a$O\ + libgraphics/libgraphics.a$O\ + libgeometry/libgeometry.a$O\ + +CFLAGS=$CFLAGS -I. -Ilibgeometry -Ilibgraphics -Ilibobj